Kamilya, Dibyendu; Baruah, Arunjyoti; Sangma, Timothy; Chowdhury, Supratim; Pal, Prasenjit
2015-06-01
In the present study, we investigated the in vitro immunostimulatory effects of inactivated form of two potential probiotics, Bacillus amyloliquefaciens FPTB16 and B. subtilis FPTB13 in catla (Catla catla). Catla head kidney leukocytes (HK) were incubated with the bacteria alive or inactivated with heat shock (2 h at 60 °C), UV light (for 2.5 h) and formalin (1.0%, v/v) treatment (for 24 h at 4 °C) at different concentrations (10(7), 10(8) and 10(9) cells ml(-1)). After incubation, different cellular immune parameters such as respiratory burst activity, nitric oxide production, leukocyte peroxidase content and proliferative response were analyzed. The inactivated probiotic preparations stimulated all the cellular immune parameters of catla HK leukocytes in vitro. Among the different inactivated preparations, heat-treated form exhibited the best result. The lowest dose (10(7) cells ml(-1)) of both the strains showed the maximum stimulation. The results collectively suggest the efficacy of inactivated preparations to be used as immunostimulant in aquaculture. PMID:25736432
Rana, Nibedita; Das, Basanta K
2016-03-01
Paradactylogyrus are small monogenean ectoparasites found mostly on the gills of Cyprinidae and are highly host specific. Conventionally these parasites are identified by microscopic analysis. In contrast to this conventional method, molecular identification using nuclear ribosomal DNA (rDNA) provides specific, sensitive and safe detection of parasites. The present study is aimed to identify the Paradactylogyrus on Catla catla using morphological and molecular tools. Morphologically the parasite is having hamuli, marginal hooks, bars and copulatory organs which differentiate it from other monogeneans. The parasite is having unpaired central spine, tubular cirrus and extracaecal vitellaria. 28s rDNA study revealed that the species is P. catlaius and the sequence was submitted to Genbank (accession no. KF269531). The study suggests that morphological characters along with molecular study are essential for validating and identifying the monogeneans. This is the first published sequence of species from the genus Paradactylogyrus (Thapar 1948). PMID:27065594
Anbumani, S; Mohankumar, Mary N
2016-09-01
Studies on transcriptional modulation after gamma radiation exposure in fish are limited. Cell cycle perturbations and expression of apoptotic genes were investigated in the fish, Catla catla after acute and protracted exposures to gamma radiation over a 90day period. Significant changes in gene expression were observed between day 1 and 90 post-exposure. Gamma radiation induced a significant down-regulation of target genes gadd45α, cdk1 and bcl-2 from day 1 to day 3 after protracted exposure, whereas it persists till day 6 upon acute exposure. From day 12 onwards, Gadd45α, cdk1 and bcl-2 genes were up-regulated following protracted exposure, indicating DNA repair, cell-cycle arrest and apoptosis. There exists a linear correlation between these genes (gadd45α - r=0.85, p=0.0073; cdk1 - r=0.86, p=0.0053; bcl-2 - r=0.89, p=0.0026) at protracted exposures. This is the first report on the dual role of bcl-2 gene in fish exposed to acute and protracted radiation and correlation among the aforementioned genes that work in concert to promote 'repair' and 'death' circuitries in fish blood cells. PMID:27497304
Gut melatonin response to microbial infection in carp Catla catla.
Pal, Palash Kumar; Hasan, Kazi Nurul; Maitra, Saumen Kumar
2016-04-01
The purpose of present study was to demonstrate the response of gut melatoninergic system to Aeromonas hydrophila infection for 3 or 6 days and search for its correlation with the activity of different antioxidative and digestive enzymes to focus their interplay under pathophysiological conditions in carp (Catla catla). Microscopic study of gut in infected fish revealed degenerative changes in the tunica mucosa and lamina propria layers with sloughed off epithelial cells in the lumen. The activity of each digestive enzyme was reduced, but the levels of melatonin, arylalkylamine-N-acetyl transferase protein, the key regulator of melatonin biosynthesis, and different enzymatic antioxidants in gut were gradually and significantly increased with the progress of infection. Gut melatonin concentrations in A. hydrophila challenged carp by showing a positive correlation with the activity of each antioxidative enzyme, and a negative correlation with different digestive enzymes argued in favor of their functional relation, at least, during pathological stress. Moreover, parallel changes in the gut and serum melatonin titers indicated possible contribution of gut to circulating melatonin. Collectively, present carp study provided the first data to suggest that endogenous gut melatonin may be implicated to the mechanism of response to microbial infections in any fish species. PMID:26563281
75 FR 17755 - Certificate of Alternative Compliance for the Offshore Supply Vessel C-ATLAS
Federal Register 2010, 2011, 2012, 2013, 2014
2010-04-07
... SECURITY Coast Guard Certificate of Alternative Compliance for the Offshore Supply Vessel C-ATLAS AGENCY... Compliance was issued for the offshore supply vessel C-ATLAS as required by 33 U.S.C. 1605(c) and 33 CFR 81... Regulations, Parts 81 and 89, has been issued for the offshore supply vessel C-ATLAS. Full compliance with...
Mahboob, Shahid
2015-07-01
The collagen of skin, scales and fins of Catla catla and Cirrhinus mrigala were isolated and characterised. Nine fishes of each fish species of three weight groups were collected from a commercial fish farm. Collagen characterisation using SDS-PAGE revealed the molecular weights (kDa) of the C. catla skin, scales, and fins which ranged from 120 to 210, 70 to 201, and 68 to 137 kDa, respectively. The size of the collagen of C. mrigala skin, scales and fins ranged from 114 to 201, 77 to 210, and 70 to 147 kDa, respectively. Glycine and alanine were the most abundant amino acid, whereas tryptophan was totally absent in all selected tissues. Thus, significant variation exists in type of collagen and amino acid profile within the weight groups of the two fish species. The imino acid (proline and hydroxyproline) contents estimated in C. catla and C. mrigala skin (161-165 and 160-168), scales (155-159 and 152-161) and fins (162-171 and (152-155) residues/1,000 residues, respectively. The proximate analysis was also performed for skin, scales and fins. The maximum protein content of the skin was determined as 26.10 % and 22.90 % in the C. catla and C. mrigala, respectively, from the W3 weight group. The scales of the W3 weight group exhibited maximum protein contents of 25.90 and 21.77 % for C. catla and C. mrigala, respectively. The maximum protein contents (19.04 % and 18.12 %) were recorded for C. catla and C. mrigala, respectively in the fins. PMID:26139894
Assessment of Pesticide Residues in Flesh of Catla catla from Ravi River, Pakistan
Akhtar, Mobeen; Mahboob, Shahid; Sultana, Salma; Sultana, Tayyaba; Alghanim, Khalid Abdullah; Ahmed, Zubair
2014-01-01
The levels of dichlorodiphenyltrichloroethane (DDT), dichlorodiphenyldichloroethylene (DDE), endosulfan, endosulfan sulfate, carbofuran, and cartap which were estimated in the flesh of Catla catla sampled from ten sites of Ravi River between its stretches from Shahdara to Head Balloki were studied to know the level of contamination of the selected pesticides by GC-ECD method. All fish samples were found contaminated with different concentrations of DDT, DDE, endosulfan, and carbofuran; however, DDT and DDE concentrations were more than the maximum residue limits (MRLs) about food standards, while endosulfan sulfate and cartap were not detected. Pesticide concentrations in the fish flesh were ranged from 3.240 to 3.389 for DDT, 2.290 to 2.460 for DDE, 0.112 to 0.136 for endosulfan, and 0.260 to 0.370 μg g−1 for carbofuran. The findings revealed that the pesticide concentrations in the fish flesh decreased in the order: DDT > DDE > carbofuran > endosulfan. After Degh fall and After Hudiara nulla fall river sampling sites were found severely contaminated. It is proposed that a constant monitoring programs are needed to be initiated to overcome the present alarming situation. PMID:25003148
Sahoo, Tapasa Kumar; Jena, Prasant Kumar; Nagar, Nidhi; Patel, Amiya Kumar; Seshadri, Sriram
2015-06-01
We report the evaluation of probiotic properties of potent lactic acid bacteria (LAB) from the gut of freshwater fishes, Labeo rohita and Catla catla, for eventually developing probiotic strains for the prevention of bacterial infections in aquaculture and food preservation. Five different LAB strains were isolated and characterized for their probiotic properties. Based on physiological, morphological and biochemical characteristics, three isolates from Labeo rohita and two from Catla catla were identified as putative probiotics and were denoted as LR11, LR14 and LR16 and CC3 and CC4, respectively. Isolates CC3 and CC4 were acid (pH 2.5) and bile salt (0.3% oxygall) tolerant and exhibited strong antibacterial activities against all pathogens including Aeromonas hydrophila. In addition, all LAB isolates were susceptible to tested antibiotics, except CC3 and CC4 which were vancomycin resistant. Furthermore, the isolates CC3 and CC4 showed significantly higher in vitro cell surface properties, i.e., hydrophobicity, auto- and co-aggregation. Biochemical tests, PCR detection and 16S rRNA sequence analysis established that LR11, LR14, LR16, CC3 and CC4 are Enterococcus avium TSU11, Enterococcus pseudoavium TSU14, Enterococcus raffinosus TSU16, Lactobacillus gasseri TSU3 and Lactobacillus animalis TSU4, respectively. Studies revealed that, Lactobacillus gasseri TSU3 and Lactobacillus animalis TSU4 are ideal probiotic candidates for its use in aquaculture and require further exploratory in vivo evaluation and safety studies. PMID:25634754
Rather, Mohd Ashraf; Bhat, Irfan Ahmad; Sharma, Rupam
2016-07-01
Reproductive hormones play a significant role in the gonadal development and gametogenesis process of animals. In the present study luteinizing hormone beta, (lhb) subunit gene was cloned and characterized from the brain of Catla catla. The lhb full-length of cDNA sequence is 629 bp which consists of 43bp 5'-UTR (untranslated region) 447bp, ORF(open reading frame) and 139 bp of 3'-UTR respectively. The coding region of lhb gene encoded a peptide of 148 amino acids. The coding sequence of lhb gene consist of a single N-linked glycosylation site (NET) and 12 cysteine knot residues. Phylogenetic analysis of C. catla Lhβ deduced amino acid sequence showed high similarity with Carassius auratus followed by Gobiocypris rarus. 3D structure Lhβ protein comprises of five β-sheets and six coils/loops. The qPCR results revealed lhb mRNA is mainly expressed in the pituitary, ovary while moderate expression was observed in brain and testis. To best our knowledge, this is the first report on the identification, molecular characterization and structural information regarding luteinizing hormone in Indian major carp. PMID:26980432
Patel, Bhakti; Banerjee, Rajanya; Basu, Madhubanti; Lenka, Saswati; Samanta, Mrinal; Das, Surajit
2016-08-01
Immunoglobulins serve as a crucial arm of the adaptive immune system against detrimental pathogenic threats in teleosts. However, whether the novel Ig isotype IgZ is present in the Indian major carp, Catla catla, has not yet been elucidated. The present study reports the presence of IgZ ortholog in C. catla (CcIgZ) and further demonstrates its comparative tissue specific expression with IgM (CcIgM) in response to bacterial and parasitic stimulation. The putative 139 amino acid sequence of IgZ heavy chain cDNA of C. catla showed homology with IgZ constant domains of other teleosts. Phylogenetic analysis of the predicted IgZ transcript sequence clustered with previously identified IgZ heavy chain sequences of Cyprinidae family members. The inductive expression profiles of IgZ and IgM genes were evaluated in immunologically relevant tissues at 24, 48 and 72 hr post infection with Aeromonas hydrophila, Streptococcus uberis and Argulus sp. Both CcIgZ and CcIgM were expressed most strongly in the kidneys of healthy fish. Basal expression of CcIgM transcript was higher than that of CcIgZ in all the examined tissues. Stimulation with bacteria triggered significant increase of IgZ in the intestine (P < 0.001) and spleen (P < 0.01), whereas IgM was relatively up-regulated in blood (P < 0.001) after stimulation with each of the three pathogens assessed. The study is the first to report identification of IgZ in C. catla. Further, it provides insights into the differential expression profiles of IgZ and IgM isotypes against various pathogenic infection in C. catla, which may facilitate better prophylaxis again such infections. PMID:27301776
Taju, G; Abdul Majeed, S; Nambi, K S N; Sahul Hameed, A S
2014-04-01
Silver nanoparticles (Ag-NPs) are used in commercial products for their antimicrobial properties. The Ag-NPs in some of these products are likely to reach the aquatic environment, thereby posing a health concern for humans and aquatic species. The silver nanoparticles were synthesized and characterized using, UV-vis spectra, Dynamic light scattering (DLS) and Transmission electron microscopy (TEM) analysis. Acute toxicity tests on fish were conducted by exposing Catla catla and Labeo rohita for 96h to AgNO3 and Ag-NPs under static conditions. The cytotoxic effect of AgNO3 and Ag-NPs in Sahul India C. catla heart cell line (SICH), Indian C. catla gill cell line (ICG) and L. rohita gill cell line (LRG) was assessed using MTT and neutral red (NR) assay. Linear correlations between each in vitro EC50 and the in vivo LC50 data were highly significant. DNA damage and nuclear fragmentation (condensation) were assessed by comet assay and Hoechst staining, respectively in SICH, ICG and LRG cells exposed to Ag-NPs. The results of antioxidant parameter obtained show significantly increased lipid peroxidation (LPO) level and decreased level of GSH, SOD and CAT in SICH, ICG and LRG cell lines after exposure to increasing Ag-NPs in a concentration-dependent manner. This work proves that fish cell lines could be used as an alternative to whole animals using cytotoxicity tests, genotoxicity tests and oxidative stress assessment after exposure to nanoparticles. PMID:24524868
Singh, Moirangthem Kameshwor; Sharma, Jai Gopal; Chakrabarti, Rina
2015-08-01
UV-B radiation is a potential stressor to the aquacultural species. Catla catla, catla larvae (1.08±0.065g) were exposed to different doses of UV-B radiation, 0 (control), 504, 1008, 1512 and 2016mJ/cm(2) at a mean radiant energy of 80μW/cm(2) for 21days. The dose of UV-B radiation was selected on the basis of the field study conducted in Lake Naini, Delhi, India (Latitude: 28°41'26″N and Longitude: 77°12″37″E). Significantly (P<0.05) lower survival, average weight and specific growth rate were found in UV-B irradiated larvae compared to the control one. Food conversion ratio was 1.5-4-fold higher in UV-B treated larvae compared to the control one. The carbonyl protein (CP), thiobarbituric acid reactive substances (TBARS), superoxide dismutase (SOD) levels were significantly (P <0.05) higher in UV-B irradiated larvae compared to the control group. Among the treated larvae, CP and SOD were significantly (P <0.05) higher in larvae exposed at 1512mJ/cm(2) UV-B. A correlation was found between the CP and SOD (R(2)=0.834). Highest TBARS level was found in 2016mJ/cm(2) UV-B exposed catla. Nitric oxide synthase level was significantly (P <0.05) lower in UV-B exposed larvae compared to the control one. A 3-fold increased Hsp 70 level was recorded in UV-B irradiated catla compared to the control larvae. Comet assay analysis indicated that UV-B irradiation enhanced DNA fragmentation. Tail extent moment and the olive tail moment were significantly (P <0.05) higher in 2016mJ/cm(2) UV-B exposed catla compared to others. The tail length was significantly (P <0.05) higher in 1512 and 2016mJ/cm(2) UV-B exposed larvae compared to the other doses. The present study suggests that the catla is a useful species for the biomonitoring of stress in the aquatic environment. PMID:26065818
Rather, M A; Bhat, I A; Gireesh-Babu, P; Chaudhari, A; Sundaray, J K; Sharma, R
2016-07-01
Kisspeptin, a member of the RF-amide-related peptide family, has emerged recently as an essential gatekeeper of various reproductive processes via its ability to activate kisspeptin receptors at puberty. In this study, the kiss1 gene and its receptor kiss1rb were cloned and characterized from the brain of Catla catla. Further, the effects of kissppetin-10 (K-10) and chitosan-encapsulated K-10 nanoparticles (CK-10) on gene expression were assessed. The full-length complementary DNA sequence of kiss1 is 754 bp with an open reading frame of 351 bp that encodes a putative protein of 116 amino acids. The kiss1rb complementary DNA is 1,280 bp long and contains a 5'-untranslated region of 30 bp, 3'-untranslated region of 149 bp, and an open reading frame (open reading frame) of 1,101 bp. The expression patterns of kiss1 and kiss1rb messenger RNA (mRNA) in basal tissues revealed that they are mainly expressed in the brain, pituitary gland, and gonads. CK-10 nanoparticles with a particle size of 125 nm and a zeta potential of 36.45 mV were synthesized and compared with K-10. Chitosan nanoparticles showed 60% entrapment efficiency for K-10. The mRNA expression of reproductive genes (GnRH, LH, and FSH) in fish injected with K-10 declined after 6 h, whereas those injected with CK-10 showed controlled and a sustained surge of mRNA expression of these genes with a peak at 12 h. Histologic examination of ovaries indicated a pronounced effect of CK-10 on maturation and gonadal development. The study reports that this sustained release delivery system will help in increasing the half-life of K-10 and other therapeutic protein drugs in the biological system. Besides, the nanoformulation developed in the present study may be useful for developing therapies against various reproductive dysfunctions in vertebrates. PMID:27088601
Singh, Samar Pal; Sharma, JaiGopal; Ahmad, Tauqueer; Chakrabarti, Rina
2016-04-01
Catla catla catla (2.28 ± 0.1 g) were exposed to six different levels of dissolved oxygen: 1 (DO-1), 3 (DO-3), 5 (DO-5), 7 (DO-7), 9 (DO-9) and 11 (DO-11) mg/L. DO-5 served as control. In DO-1 and DO-3, the number of red blood cells (RBC), lysozyme, respiratory burst activity and nitric oxide synthase were significantly (p < 0.05) lower compared to the control one. In DO-7 and DO-9, RBC and lysozyme were significantly (p < 0.05) higher compared to the control one. Thiobarbituric acid reactive substances was significantly (p < 0.05) higher in catla exposed at low (1 and 3 mg/L) and high (9 and 11 mg/L) dissolved oxygen compared to others. In muscles and hepatopancreas, reduced glutathione was significantly (p < 0.05) higher in DO-5 and DO-7 and in gills of DO-5 compared to others after 1 h. In muscles, glutathione S-transferase (GST) was significantly (p < 0.05) lower in DO-5 and DO-7 compared to others. In hepatopancreas, GST and glutathione peroxidise (GPx) were significantly (p < 0.05) higher in DO-1 and DO-3 compared to others. In gills, GPx was higher in DO-9 and DO-11 after 48 h. In brain, hypoxia-inducible factor (HIF)-1α mRNA level was induced in DO-1 and DO-3 compared to others after 1 h of exposure. In gills and hepatopancreas, HIF-1α mRNA level was significantly (p < 0.05) higher in DO-1 compared to others after 1 h. The ATPase 6 mRNA level was significantly (p < 0.05) higher in brain and hepatopancreas of DO-1 after 1 h and in gills and hepatopancreas of DO-3 and DO-9, respectively, after 48 h compared to others. PMID:26588934
Basu, Madhubanti; Paichha, Mahismita; Lenka, Saswati S; Chakrabarty, Rina; Samanta, Mrinal
2016-01-01
The damage-associated molecular patterns (DAMPs) released from the damaged tissue/cells are recently reported as endogenous ligands to activate toll-like receptors (TLRs) and nucleotide binding and oligomerization domain (NOD) receptors signaling pathways. In the aquatic environment, reduction in dissolved oxygen (DO) concentration causes hypoxic stress resulting in tissue damage and patho-biological changes in fish. We envisaged the critical role of TLR and NOD receptors in recognizing DAMPs as endogenous ligands during hypoxic stress in fish. Catla (Catla catla) fingerlings (avg. wt ~56 g) was exposed to hypoxic stress (DO: 1-3 mg/L) for 1 and 24 h. After the designated time course, total RNA was extracted from gill, liver, kidney and blood, and modulation of TLRs (TLR2 and TLR4), NOD (NOD1 and NOD2) receptors, MyD88 (myeloid differentiation primary response gene 88), RICK (receptor interacting serine-threonine protein kinase-2), interleukin (IL)-6, IL-8 and IL-10 gene expression were analyzed by quantitative reverse transcriptase PCR assay. Significant (p < 0.05) up-regulation of some DAMPs {high-mobility group box 1 and heat shock protein-70}, TLRs and NOD receptors genes expressions were observed in the hypoxic fish tissues as compared to the control. Further investigation revealed inductive expression of MyD88, RICK, IL-6, IL-8 and IL-10 genes in the TLRs and NODs activated tissues of the hypoxic fish. These data together may suggest the important role of TLRs and NOD receptors signaling pathway in sterile inflammation and pathobiology of fish in hypoxic stress, and warrant further study to investigate the role of TLR and NOD receptors in abiotic stress management in aquaculture. PMID:26590162
Hussain, Bilal; Sultana, Tayyaba; Sultana, Salma; Mahboob, Shahid; Al-Ghanim, K A; Nadeem, Shahid
2016-07-01
A large number of methods have been applied to evaluate genotoxic damage in different aquatic species. Comet assay, as a method for detecting DNA alterations, and micronucleus test, as an index of chromosomal damage are the most widely used and authentic methods in laboratory and field studies. The primary objective of the study was to evaluate the genotoxic effects of heavy metals generated by toxic industrial effluents and various kinds of pollutants from urban and agricultural areas and domestic waste on Catla catla and Cirrhinus mrigala due to water pollution in the Chenab River, Pakistan. The heavy metals Cd, Cu, Mn. Zn, Pb, Cr, Sn, and Hg were detected by atomic absorption spectrophotometry from water samples collected from predetermined sampling sites. All the physicochemical parameters and heavy metals were found to exceed the upper limits recommended by various agencies. Comet assays showed significant (p < 0.05) DNA damage in C. mrigala compared to C. catla for tail length and olive tail moment from three different sites. Significant (p < 0.05) differences were reported between fish collected from polluted sites and farmed fish, but only non-significant (p > 0.05) findings were observed between fish collected from farmed and non-polluted upstream waters. Micronucleus assays showed similar findings for single and double micronucleus induction in C. catla and C. mrigala. A significantly (p < 0.05) higher micronuclei induction and percent tail DNA was observed in C. mrigala specimen collected from the polluted site. These findings infer that DNA damage could be used as a biomarker of pollution load and its early monitoring by using simple and reliable techniques such as the comet and micronucleus assays, expedient methods for toxicity screening of aquatic environments. Regular monitoring is necessary to assess eco-health of the Chenab River by choosing perhaps C. mrigala, being a bottom feeder, as a bioindicator that could provide more
Debnath, Mitra; Saha, Ratan Kumar; Kamilya, Dibyendu; Saikia, Dipangka; Saha, Himadri
2012-12-01
Effects of water-borne iron on Indian major carps spawn were evaluated in the present study. Ferrous sulphate was used to prepare different test iron concentrations. Mrigal had the lowest 96 h LC(50) value of 0.30 ± 0.06 mg L(-1) while rohu had the highest value of 0.73 ± 0.06 mg L(-1) of iron. Accumulation of iron in mrigal spawn was highest whereas it was lowest in catla. Abnormal behaviour and reduced growth were observed in chronic toxicity. Application factors were calculated to establish acceptable ranges and safe levels. PMID:23052582
Mahboob, Shahid; Niazi, Fakhra; AlGhanim, K; Sultana, Salma; Al-Misned, F; Ahmed, Z
2015-03-01
A study of the levels of six pesticide residues (endosulfan, carbofuran, cypermethrin, profenofos, triazophos, and deltamethrin) was conducted to determine possible environmental and health risks in surface waters, sediment, and fish Catla catla. Samples were analyzed by gas chromatography with an electron capture detector. The total concentration of pesticides in water, sediment, and fish ranged from 0.005 to 3.17 μg/l, 0.61 to 23.06 ng/g dry weight, and 0.35 to 19.15 μg/g lipid-normalized units, respectively. According to the concentrations and detection frequencies, endosulfan and profenofos were the most dominant pesticides recorded in fish tissue and sediment samples. Profenofos and cypermethrin, meanwhile, were the most abundant pesticides recorded in water samples at these sites. Cypermethrin and triazophos were not detected in the sediment samples. The concentration of endosulfan, carbofuran, and deltamethrin were higher than the permissible limits for fish set by international agencies and pose a potential ecological risk to the aquatic ecosystem and a consequent hazard to human health. PMID:25655128
Shakir, Abdullah; Chaudhry, Abdul Shakoor; Qazi, Javed Iqbal
2013-03-01
The river Ravi, while passing through Lahore, the second largest city of Pakistan, gets highly polluted owning heavy loads of untreated municipal sewage and industrial effluents of diverse kinds. The fish, Catla catla sampled in two different seasons from three downstream polluted sites were compared with the samples of the same fish from an upstream, a less polluted site, for their physico-chemical parameters. The data were statistically analysed to study the effect of sites, seasons and their interaction on the physico-chemical parameters of waters and mineral uptake in fish muscles. Significant differences (P < 0.001) among the sampling sites and seasons were observed. The river appeared to be polluted as indicated by the high values of total suspended solids (909 mg/l) and sulphate (964 mg/l) in comparison to the respective values of 150 and 600 mg/l being suggested as the safer values of drinking water of the National Environmental Quality Standards. Most trace and macro elements in fish muscles were increased with the increasing pollution loads from the upstream to the downstream sites of this river. The remarkable increases in the levels of all the investigated minerals in fish muscles from the polluted sites raise concerns about the long-term health of the river Ravi ecosystem and consequently the fish and its consumer's health. The results contradict the opinion of the local population that the riverine fish are natural, more health-promoting and precious than the pond fish. Therefore, we strongly argue for the utilization of an effect-based monitoring approach to alleviate the detrimental effects of anthropogenic activities on fish and the fish consumers' health. PMID:22791113
Patel, Bhakti; Kumar, Premranjan; Banerjee, Rajanya; Basu, Madhubanti; Pal, Arttatrana; Samanta, Mrinal; Das, Surajit
2016-07-01
The pathogenesis of Aeromonas hydrophila, a potent fish pathogen, is attributed to its ability to cause motile aeromonad septicaemia leading to apoptosis in a myriad of fish species, including freshwater carp Catla catla. However, the underlying mechanism of antagonistic activity of probiotics against A. hydrophila induced apoptosis is not elucidated due to lack of appropriate in-vitro models. This study reported that the exposure of catla thymus macrophages (CTM) to A. hydrophila markedly induced cellular injuries as evidenced by elevated levels of reactive oxygen species (ROS), reactive nitrogen species (RNS), increased apoptosis, DNA damage and decreased cellular viability. Flow cytometry analysis and Annexin-V/propidium iodide assay further confirmed increased ROS positive cells leading to cell death after infection. The quantitative real-time PCR analysis, also revealed upregulation of inducible nitric-oxide synthase (iNOS), pro-inflammatory cytokine (TNFα), cyclooxygenase2 (COX-2) and downregulation of anti-inflammatory cytokine (IL-10). Pretreatment of cells with probiotic, Lactobacillus acidophilus attenuated A. hydrophila induced apoptosis as evident from the decrease in the levels of ROS, RNS and DNA damage. Significant increase (P≤0.05) in expression of TNFα and IL-10 and decrease in iNOS and COX-2 was observed on probiotic stimulation. In-vivo study using catla fingerlings confirmed similar pattern of ROS, iNOS, NO production and cytokine expression in thymus. This study provides a comprehensive insight into the mechanistic basis of L. acidophilus induced macrophage mediated inflammatory response against A. hydrophila in CTM cells. Further, it speculates the possibility of using cost-effective in-vitro models for screening probiotic candidates of therapeutic potential in aquaculture industry. PMID:27262084
Mukherjee, Sourav; Maitra, Saumen Kumar
2015-01-01
Influences of starvation, re-feeding and time of food supply on daily rhythm features of melatonin (5-methoxy-N-acetyltryptamine) and its key regulator AANAT (arylalkylamine N-acetyltransferase) protein in the gut tissues were separately evaluated in carp Catla catla. The first experiment was aimed at demonstration of duration dependent effects of starvation and re-feeding after starvation on the daily profiles and rhythm features of gut melatonin and AANAT. Accordingly, juvenile carp were randomly distributed in three groups, which were (a) provided with balanced diet daily at a fixed time, that is, 10:00 clock hour or zeitgeber time (ZT) 4 (control), or (b) starved (for 2-, 4-, 6- or 8 days), or (c) initially starved for 8 days and then re-fed (for 2-, 4-, 6-, 8-, 12- or 16 days) daily with the same food and at the time (ZT4) used for control fish. The carp in each group were sampled for collection of gut tissues at six different time points at a regular interval of 4 h in a daily cycle. In another experiment, the influences of timing of food supply were separately examined in four fish groups, which were provided with a fixed amount of food once daily either at 06:00 or 12:00 or 18:00 or 24:00 clock hour corresponding to ZT0 or ZT6 or ZT12 or ZT18, respectively, for 7 days before sampling at 12 different time points with a regular interval of 2 h in a 24-h cycle. The study revealed a gradual increase in the mesor and amplitude values of melatonin and AANAT in gut with the progress of starvation till their values reached maximum at day-6 and remained steady thereafter. In contrast, re-feeding of 8-day starved fish resulted in a sharp decrease in their mesor and amplitude values after 2 days and then followed by a steady-state increase till re-attainment of their values close to control fish at the end of 16 days. The acrophase of these gut variables in each control, starved and re-fed fish was noted mostly at midday or ZT6. However, the results of another
Hamilton, Ritz, and elastodynamics
NASA Technical Reports Server (NTRS)
Bailey, C. D.
1976-01-01
The theory of Ritz is applied to the equation that Hamilton called the 'Law of Varying Action'. Direct analytical solutions are obtained for the transient motion of beams, both conservative and nonconservative. The results obtained are compared to exact solutions obtained by the use of rigorously exact free-vibration modes in the differential equations of Lagrange and to an approximate solution obtained through the application of Gurtin's principles for linear elastodynamics. A brief discussion of Hamilton's law and Hamilton's principle is followed by examples of results for both free-free and cantilever beams with various loadings.
Elizabeth Hamilton: Enlightenment Educator.
ERIC Educational Resources Information Center
Russell, Rosalind
1986-01-01
Elizabeth Hamilton, an eighteenth- and early nineteenth-century Scottish writer on education, was one of the first to advocate the application of educational psychology to teaching. She introduced Pestalozzi's method to the English-reading public and argued for equal education for all children of both sexes and all social backgrounds. (LFL)
Hamilton's Principle for Beginners
ERIC Educational Resources Information Center
Brun, J. L.
2007-01-01
I find that students have difficulty with Hamilton's principle, at least the first time they come into contact with it, and therefore it is worth designing some examples to help students grasp its complex meaning. This paper supplies the simplest example to consolidate the learning of the quoted principle: that of a free particle moving along a…
Peeps at William Edwin Hamilton
NASA Astrophysics Data System (ADS)
Wayman, P. A.
1999-01-01
William Edwin Hamilton, 1834-1902, (WEH) was the elder son of Sir William Rowan Hamilton and Helen Hamilton and he inherited many of the characteristics of his famous father. One property that he did not inherit, however, was his father's genius. While the outline of the life of WEH was given by Hankins in his 1980 biography of Sir William, a copy of ``Peeps at My Life'' written by WEH during the last months of his life was not available until recently. A few years ago a copy was sent to me by Herman Berg of Detroit and in this article, the principal items in ``Peeps'' that are relevant to Ireland, and some other facets of the character of WEH, are included as they give an unusual viewpoint of a by-gone age.
Quantum Hamilton-Jacobi theory.
Roncadelli, Marco; Schulman, L S
2007-10-26
Quantum canonical transformations have attracted interest since the beginning of quantum theory. Based on their classical analogues, one would expect them to provide a powerful quantum tool. However, the difficulty of solving a nonlinear operator partial differential equation such as the quantum Hamilton-Jacobi equation (QHJE) has hindered progress along this otherwise promising avenue. We overcome this difficulty. We show that solutions to the QHJE can be constructed by a simple prescription starting from the propagator of the associated Schrödinger equation. Our result opens the possibility of practical use of quantum Hamilton-Jacobi theory. As an application, we develop a surprising relation between operator ordering and the density of paths around a semiclassical trajectory. PMID:17995307
Hamilton׳s Rule in finite populations with synergistic interactions.
Taylor, Peter
2016-05-21
Much debate has appeared in the literature over the generality of the inclusive fitness approach in the modeling of evolutionary behavior. Here I focus on the capacity of the inclusive fitness approach to effectively handle non-additive or synergistic interactions. I work with a binary interaction with the matrix game [abcd] and I restrict attention to transitive (homogeneous) populations with weak selective effects. First of all I observe that the construction of "higher-order" relatedness coefficients permits these synergistic interactions to be analyzed with an inclusive fitness analysis. These coefficients are an immediate generalization of Hamilton׳s original coefficient and can be calculated with exactly the same type of recursive equations. Secondly I observe that for models in which the population is not too large and local genetic renewal is rare (e,g, rare mutation), these higher order coefficients are not needed even with non-additive interactions; in fact the synergistic interaction is entirely equivalent to a closely-related additive one. The overall conclusion is that in the study of synergistic binary social interactions (2-player games) in a finite homogeneous population with weak selection and rare genetic renewal, a standard inclusive-fitness analysis is able to predict the direction of allele-frequency change. I apply this result to analyze a recent model of Allen and Nowak (2015). PMID:26947271
Basic Theatrical Understanding: Considerations for James Hamilton
ERIC Educational Resources Information Center
Carroll, Noel
2009-01-01
In this article, the author considers Hamilton's idea of "basic understanding" of a theatrical performance. The author finds it hard to grasp this conception. He worries, although perhaps only on the basis of misunderstanding, that Hamilton's conception of the basic understanding of theatrical performances will not do the work he wants it to do as…
Hamiltonization of the generalized Veselova LR system
NASA Astrophysics Data System (ADS)
Fedorov, Yu. N.; Jovanović, B.
2009-08-01
We revise the solution to the problem of Hamiltonization of the n-dimensional Veselova nonholonomic system studied previously in [1]. Namely, we give a short and direct proof of the hamiltonization theorem and also show the trajectorial equivalence of the problem with the geodesic flow on the ellipsoid.
Hamilton's principle in stochastic mechanics
NASA Astrophysics Data System (ADS)
Pavon, Michele
1995-12-01
In this paper we establish three variational principles that provide new foundations for Nelson's stochastic mechanics in the case of nonrelativistic particles without spin. The resulting variational picture is much richer and of a different nature with respect to the one previously considered in the literature. We first develop two stochastic variational principles whose Hamilton-Jacobi-like equations are precisely the two coupled partial differential equations that are obtained from the Schrödinger equation (Madelung equations). The two problems are zero-sum, noncooperative, stochastic differential games that are familiar in the control theory literature. They are solved here by means of a new, absolutely elementary method based on Lagrange functionals. For both games the saddle-point equilibrium solution is given by the Nelson's process and the optimal controls for the two competing players are precisely Nelson's current velocity v and osmotic velocity u, respectively. The first variational principle includes as special cases both the Guerra-Morato variational principle [Phys. Rev. D 27, 1774 (1983)] and Schrödinger original variational derivation of the time-independent equation. It also reduces to the classical least action principle when the intensity of the underlying noise tends to zero. It appears as a saddle-point action principle. In the second variational principle the action is simply the difference between the initial and final configurational entropy. It is therefore a saddle-point entropy production principle. From the variational principles it follows, in particular, that both v(x,t) and u(x,t) are gradients of appropriate principal functions. In the variational principles, the role of the background noise has the intuitive meaning of attempting to contrast the more classical mechanical features of the system by trying to maximize the action in the first principle and by trying to increase the entropy in the second. Combining the two variational
Federal Register 2010, 2011, 2012, 2013, 2014
2013-05-23
... ``significant rule'' under the DOT Regulatory Policies and Procedures (44 FR 11034, February 26, 1979), (3) Will... Federal Aviation Administration 14 CFR Part 39 RIN 2120-AA64 Airworthiness Directives; Hamilton Standard Division and Hamilton Sundstrand Corporation Propellers AGENCY: Federal Aviation Administration (FAA),...
The causal meaning of Hamilton's rule.
Okasha, Samir; Martens, Johannes
2016-03-01
Hamilton's original derivation of his rule for the spread of an altruistic gene (rb>c) assumed additivity of costs and benefits. Recently, it has been argued that an exact version of the rule holds under non-additive pay-offs, so long as the cost and benefit terms are suitably defined, as partial regression coefficients. However, critics have questioned both the biological significance and the causal meaning of the resulting rule. This paper examines the causal meaning of the generalized Hamilton's rule in a simple model, by computing the effect of a hypothetical experiment to assess the cost of a social action and comparing it to the partial regression definition. The two do not agree. A possible way of salvaging the causal meaning of Hamilton's rule is explored, by appeal to R. A. Fisher's 'average effect of a gene substitution'. PMID:27069669
Application of Hamilton's Law of Varying Action
NASA Technical Reports Server (NTRS)
Bailey, C. D.
1973-01-01
The application of Hamilton's Law to the direct solution of nonstationary as well as stationary problems in mechanics of solids is discussed. Solutions are demonstrated for conservative and monconservative, stationary and/or nonstationary particle motion. Mathematical models are developed to establish the relationships of the parameters.
Measuring Social Capital in Hamilton, Ontario
ERIC Educational Resources Information Center
Kitchen, Peter; Williams, Allison; Simone, Dylan
2012-01-01
Social capital has been studied by academics for more than 20 years and within the past decade there has been an explosion of growth in research linking social capital to health. This paper investigates social capital in Hamilton, Ontario by way of a telephone survey of 1,002 households in three neighbourhood groups representing high, mixed and…
Unbiased sampling of lattice Hamilton path ensembles
NASA Astrophysics Data System (ADS)
Mansfield, Marc L.
2006-10-01
Hamilton paths, or Hamiltonian paths, are walks on a lattice which visit each site exactly once. They have been proposed as models of globular proteins and of compact polymers. A previously published algorithm [Mansfield, Macromolecules 27, 5924 (1994)] for sampling Hamilton paths on simple square and simple cubic lattices is tested for bias and for efficiency. Because the algorithm is a Metropolis Monte Carlo technique obviously satisfying detailed balance, we need only demonstrate ergodicity to ensure unbiased sampling. Two different tests for ergodicity (exact enumeration on small lattices, nonexhaustive enumeration on larger lattices) demonstrate ergodicity unequivocally for small lattices and provide strong support for ergodicity on larger lattices. Two other sampling algorithms [Ramakrishnan et al., J. Chem. Phys. 103, 7592 (1995); Lua et al., Polymer 45, 717 (2004)] are both known to produce biases on both 2×2×2 and 3×3×3 lattices, but it is shown here that the current algorithm gives unbiased sampling on these same lattices. Successive Hamilton paths are strongly correlated, so that many iterations are required between statistically independent samples. Rules for estimating the number of iterations needed to dissipate these correlations are given. However, the iteration time is so fast that the efficiency is still very good except on extremely large lattices. For example, even on lattices of total size 10×10×10 we are able to generate tens of thousands of uncorrelated Hamilton paths per hour of CPU time.
Hamilton County: A Rural School District Profile.
ERIC Educational Resources Information Center
Harned, Catherine
Using state education agency, census, industry employment and occupational information data, this paper provides a detailed picture of a rural school district in Southern Illinois. Mining and agriculture are the major industries in Hamilton County. The major mining employer closed in February 1988, and the drought of 1988 is likely to adversely…
GENERAL SITE PLAN, HAMILTON AIR FORCE BASE, MARIN COUNTY, CALIFORNIA. ...
GENERAL SITE PLAN, HAMILTON AIR FORCE BASE, MARIN COUNTY, CALIFORNIA. Pencil on paper, dated December 4, 1952. Also marked "PWC 103474." By J.Y. Long Company, Engineers, Oakland, California - Hamilton Field, East of Nave Drive, Novato, Marin County, CA
Conformal invariance and Hamilton Jacobi theory for dissipative systems
NASA Technical Reports Server (NTRS)
Kiehn, R. M.
1975-01-01
For certain dissipative systems, a comparison can be made between the Hamilton-Jacobi theory and the conformal invariance of action theory. The two concepts are not identical, but the conformal action theory covers the Hamilton-Jacobi theory.
NASA Astrophysics Data System (ADS)
Faraggi, Alon E.; Matone, Marco
2015-07-01
Adaptation of the Hamilton-Jacobi formalism to quantum mechanics leads to a cocycle condition, which is invariant under D-dimensional Mobius transformations with Euclidean or Minkowski metrics. In this paper we aim to provide a pedagogical presentation of the proof of the Möbius symmetry underlying the cocycle condition. The Möbius symmetry implies energy quantization and undefinability of quantum trajectories, without assigning any prior interpretation to the wave function. As such, the Hamilton-Jacobi formalism, augmented with the global Möbius symmetry, provides an alternative starting point, to the axiomatic probability interpretation of the wave function, for the formulation of quantum mechanics and the quantum spacetime. The Möbius symmetry can only be implemented consistently if spatial space is compact, and correspondingly if there exist a finite ultraviolet length scale. Evidence for nontrivial space topology may exist in the cosmic microwave background radiation.
Hamilton-Jacobi formalism for tachyon inflation
NASA Astrophysics Data System (ADS)
Aghamohammadi, A.; Mohammadi, A.; Golanbari, T.; Saaidi, Kh.
2014-10-01
Tachyon inflation is reconsidered by using the recent observational data obtained from Planck-2013 and BICEP2. The Hamilton-Jacobi formalism is picked out as a desirable approach in this work, which allows one to easily obtain the main parameters of the model. The Hubble parameter is supposed as a power-law and exponential function of the scalar field, and each case is considered separately. The constraints on the model, which come from observational data, are explained during the work. The results show a suitable value for the tensor spectral index and an appropriate form of the potential.
A Hamilton Jacobi formalism for thermodynamics
NASA Astrophysics Data System (ADS)
Rajeev, S. G.
2008-09-01
We show that classical thermodynamics has a formulation in terms of Hamilton-Jacobi theory, analogous to mechanics. Even though the thermodynamic variables come in conjugate pairs such as pressure/volume or temperature/entropy, the phase space is odd-dimensional. For a system with n thermodynamic degrees of freedom it is 2n+1-dimensional. The equations of state of a substance pick out an n-dimensional submanifold. A family of substances whose equations of state depend on n parameters define a hypersurface of co-dimension one. This can be described by the vanishing of a function which plays the role of a Hamiltonian. The ordinary differential equations (characteristic equations) defined by this function describe a dynamical system on the hypersurface. Its orbits can be used to reconstruct the equations of state. The 'time' variable associated to this dynamics is related to, but is not identical to, entropy. After developing this formalism on well-grounded systems such as the van der Waals gases and the Curie-Weiss magnets, we derive a Hamilton-Jacobi equation for black hole thermodynamics in General Relativity. The cosmological constant appears as a constant of integration in this picture.
An unusual ophthalmic finding in Lane-Hamilton syndrome.
Villegas, Victor M; Rachitskaya, Aleksandra V; Lam, Byron L; McKeown, Craig A; Berrocal, Audina M
2014-12-01
Lane-Hamilton syndrome is a rare condition that is characterized by idiopathic pulmonary hemosiderosis and celiac disease. We report the case of an 18-month-old girl with Lane-Hamilton syndrome who had unilateral pigmentary retinopathy. PMID:25448145
Hamilton-Jacobi Theory in Cauchy Data Space
NASA Astrophysics Data System (ADS)
Campos, CéAdric M.; de Leóan, Manuel; de Diego, David Martín; Vaquero, Miguel
2015-12-01
Recently, M. de LeóAn et al. [8] have developed a geometric Hamilton-Jacobi theory for classical fields in the setting of multisymplectic geometry. Our purpose in the current paper is to establish the corresponding Hamilton-Jacobi theory in the Cauchy data space, and relate both approaches.
WAVELENGTH CALIBRATION OF THE HAMILTON ECHELLE SPECTROGRAPH
Pakhomov, Yu. V.; Zhao, G.
2013-10-01
We present the wavelength calibration of the Hamilton Echelle Spectrograph at Lick Observatory. The main problem with the calibration of this spectrograph arises from the fact that thorium lines are absent in the spectrum of the presumed ThAr hollow-cathode lamp now under operation; numerous unknown strong lines, which have been identified as titanium lines, are present in the spectrum. We estimate the temperature of the lamp's gas which permits us to calculate the intensities of the lines and to select a large number of relevant Ti I and Ti II lines. The resulting titanium line list for the Lick hollow-cathode lamp is presented. The wavelength calibration using this line list was made with an accuracy of about 0.006 Å.
Hamilton-Jacobi skeleton on cortical surfaces.
Shi, Y; Thompson, P M; Dinov, I; Toga, A W
2008-05-01
In this paper, we propose a new method to construct graphical representations of cortical folding patterns by computing skeletons on triangulated cortical surfaces. In our approach, a cortical surface is first partitioned into sulcal and gyral regions via the solution of a variational problem using graph cuts, which can guarantee global optimality. After that, we extend the method of Hamilton-Jacobi skeleton [1] to subsets of triangulated surfaces, together with a geometrically intuitive pruning process that can trade off between skeleton complexity and the completeness of representing folding patterns. Compared with previous work that uses skeletons of 3-D volumes to represent sulcal patterns, the skeletons on cortical surfaces can be easily decomposed into branches and provide a simpler way to construct graphical representations of cortical morphometry. In our experiments, we demonstrate our method on two different cortical surface models, its ability of capturing major sulcal patterns and its application to compute skeletons of gyral regions. PMID:18450539
CONTEXTUAL VIEW FROM HOTEL; HAMILTON BUNGALOW IN FOREGROUND; BUNGALOW NO. ...
CONTEXTUAL VIEW FROM HOTEL; HAMILTON BUNGALOW IN FOREGROUND; BUNGALOW NO. 3 DIRECTLY BEHIND; HINDS & CONNER AND "A" BUNGALOWS IN REAR. VISTA DEL ARROYO HOTEL ON RIGHT - Vista del Arroyo Hotel, 125 South Grand Avenue, Pasadena, Los Angeles County, CA
1. Historic American Buildings Survey Charles E. Hamilton, Photographer June, ...
1. Historic American Buildings Survey Charles E. Hamilton, Photographer June, 1934. Copied by Frank O. Branzetti, Photographer (a) EXT.-FRONT, LOOKING NORTH - Enfield Road (Schoolhouse), Prescott Center, Franklin County, MA
Quantum Hamilton Mechanics and the Theory of Quantization Conditions
NASA Astrophysics Data System (ADS)
Bracken, Paul
A formulation of quantum mechanics in terms of complex canonical variables is presented. It is seen that these variables are governed by Hamilton's equations. It is shown that the action variables need to be quantized. By formulating a quantum Hamilton equation for the momentum variable, the energies for two different systems are determined. Quantum canonical transformation theory is introduced and the geometrical significance of a set of generalized quantization conditions which are obtained is discussed.
Hamilton Jeffers and the Double Star Catalogues
NASA Astrophysics Data System (ADS)
Tenn, Joseph S.
2013-01-01
Astronomers have long tracked double stars in efforts to find those that are gravitationally-bound binaries and then to determine their orbits. Court reporter and amateur astronomer Shelburne Wesley Burnham (1838-1921) published a massive double star catalogue containing more than 13,000 systems in 1906. The next keeper of the double stars was Lick Observatory astronomer Robert Grant Aitken (1864-1951), who produced a much larger catalogue in 1932. Aitken maintained and expanded Burnham’s records of observations on handwritten file cards, eventually turning them over to Lick Observatory astrometrist Hamilton Moore Jeffers (1893-1976). Jeffers further expanded the collection and put all the observations on punched cards. With the aid of Frances M. "Rete" Greeby (1921-2002), he made two catalogues: an Index Catalogue with basic data about each star, and a complete catalogue of observations, with one observation per punched card. He enlisted Willem van den Bos of Johannesburg to add southern stars, and they published the Index Catalogue of Visual Double Stars, 1961.0. As Jeffers approached retirement he became greatly concerned about the disposition of the catalogues. He wanted to be replaced by another "double star man," but Lick Director Albert E. Whitford (1905-2002) had the new 120-inch reflector, the world’s second largest telescope, and he wanted to pursue modern astrophysics instead. Jeffers was vociferously opposed to turning over the card files to another institution, and especially against their coming under the control of Kaj Strand of the U.S. Naval Observatory. In the end the USNO got the files and has maintained the records ever since, first under Charles Worley (1935-1997), and, since 1997, under Brian Mason. Now called the Washington Double Star Catalog (WDS), it is completely online and currently contains more than 1,000,000 measures of more than 100,000 pairs.
Hamilton's rule and the causes of social evolution
Bourke, Andrew F. G.
2014-01-01
Hamilton's rule is a central theorem of inclusive fitness (kin selection) theory and predicts that social behaviour evolves under specific combinations of relatedness, benefit and cost. This review provides evidence for Hamilton's rule by presenting novel syntheses of results from two kinds of study in diverse taxa, including cooperatively breeding birds and mammals and eusocial insects. These are, first, studies that empirically parametrize Hamilton's rule in natural populations and, second, comparative phylogenetic analyses of the genetic, life-history and ecological correlates of sociality. Studies parametrizing Hamilton's rule are not rare and demonstrate quantitatively that (i) altruism (net loss of direct fitness) occurs even when sociality is facultative, (ii) in most cases, altruism is under positive selection via indirect fitness benefits that exceed direct fitness costs and (iii) social behaviour commonly generates indirect benefits by enhancing the productivity or survivorship of kin. Comparative phylogenetic analyses show that cooperative breeding and eusociality are promoted by (i) high relatedness and monogamy and, potentially, by (ii) life-history factors facilitating family structure and high benefits of helping and (iii) ecological factors generating low costs of social behaviour. Overall, the focal studies strongly confirm the predictions of Hamilton's rule regarding conditions for social evolution and their causes. PMID:24686934
Quantitative genetic versions of Hamilton's rule with empirical applications
McGlothlin, Joel W.; Wolf, Jason B.; Brodie, Edmund D.; Moore, Allen J.
2014-01-01
Hamilton's theory of inclusive fitness revolutionized our understanding of the evolution of social interactions. Surprisingly, an incorporation of Hamilton's perspective into the quantitative genetic theory of phenotypic evolution has been slow, despite the popularity of quantitative genetics in evolutionary studies. Here, we discuss several versions of Hamilton's rule for social evolution from a quantitative genetic perspective, emphasizing its utility in empirical applications. Although evolutionary quantitative genetics offers methods to measure each of the critical parameters of Hamilton's rule, empirical work has lagged behind theory. In particular, we lack studies of selection on altruistic traits in the wild. Fitness costs and benefits of altruism can be estimated using a simple extension of phenotypic selection analysis that incorporates the traits of social interactants. We also discuss the importance of considering the genetic influence of the social environment, or indirect genetic effects (IGEs), in the context of Hamilton's rule. Research in social evolution has generated an extensive body of empirical work focusing—with good reason—almost solely on relatedness. We argue that quantifying the roles of social and non-social components of selection and IGEs, in addition to relatedness, is now timely and should provide unique additional insights into social evolution. PMID:24686930
Federal Register 2010, 2011, 2012, 2013, 2014
2010-05-06
... Federal Energy Regulatory Commission City of Hamilton, Ohio American Municipal Power, Inc.; Notice of... February 26, 2010, City of Hamilton, Ohio (Hamilton) and American Municipal Power, Inc. (AMP) filed an... approval to transfer the license for the Meldahl Project from Hamilton to Hamilton and AMP....
Extending Fourier transformations to Hamilton's quaternions and Clifford's geometric algebras
NASA Astrophysics Data System (ADS)
Hitzer, Eckhard
2013-10-01
We show how Fourier transformations can be extended to Hamilton's algebra of quaternions. This was initially motivated by applications in nuclear magnetic resonance and electric engineering. Followed by an ever wider range of applications in color image and signal processing. Hamilton's algebra of quaternions is only one example of the larger class of Clifford's geometric algebras, complete algebras encoding a vector space and all its subspace elements. We introduce how Fourier transformations are extended to Clifford algebras and applied in electromagnetism, and in the processing of images, color images, vector field and climate data.
VIEW SOUTH FROM HAMILTON AVENUE BUILDING 25 LEFT; BUILDING 32 ...
VIEW SOUTH FROM HAMILTON AVENUE BUILDING 25 LEFT; BUILDING 32 MACHINE SHOP (1890) LEFT CENTER BUILDING 31 RIGGER'S SHOP (1890) CENTER BUILDING 28 BLACKSMITH SHOP (1885) RIGHT CENTER; BUILDING 27 PATTERN SHOP (1853) RIGHT - John A. Roebling's Sons Company & American Steel & Wire Company, South Broad, Clark, Elmer, Mott & Hudson Streets, Trenton, Mercer County, NJ
Involutive constrained systems and Hamilton-Jacobi formalism
NASA Astrophysics Data System (ADS)
Bertin, M. C.; Pimentel, B. M.; Valcárcel, C. E.
2014-11-01
In this paper, we study singular systems with complete sets of involutive constraints. The aim is to establish, within the Hamilton-Jacobi theory, the relationship between the Frobenius' theorem, the infinitesimal canonical transformations generated by constraints in involution with the Poisson brackets, and the lagrangian point (gauge) transformations of physical systems.
Moving the Education Needle: A Conversation with Scott Hamilton
ERIC Educational Resources Information Center
Jacobs, Joanne
2014-01-01
Scott Hamilton is the Forrest Gump of education reform, although with a lot more IQ points and fewer chocolates. He worked for Bill Bennett in the U.S. Department of Education and for Benno Schmidt at the Edison Project. He authorized charter schools in Massachusetts, co-founded the KIPP network, quadrupled the size of Teach For America (TFA), and…
INTERIOR DETAIL, EASTERN HEMICYCLE, SALOON. WILLIAM HAMILTON PLACED BRONZE AND ...
INTERIOR DETAIL, EASTERN HEMICYCLE, SALOON. WILLIAM HAMILTON PLACED BRONZE AND MARBLE SCULPTURE IN SOME OF THE HEMICYCLE NICHES. ONE OF THE NICHES HOUSED A CANNON STOVE FOR HEATING THE ROOM IN THE COLDER MONTHS - The Woodlands, 4000 Woodlands Avenue, Philadelphia, Philadelphia County, PA
Rehearsal and Hamilton's "Ingredients Model" of Theatrical Performance
ERIC Educational Resources Information Center
Davies, David
2009-01-01
One among the many virtues of James Hamilton's book, "The Art of Theater," is that it challenges the hegemony of the classical paradigm in the performing arts by questioning its applicability to theatrical performances. He argues instead for an "ingredients model" of the relationship between a literary script and a theatrical work. According to…
75 FR 37293 - Establishment of Class E Airspace; Hamilton, TX
Federal Register 2010, 2011, 2012, 2013, 2014
2010-06-29
... additional controlled airspace at Hamilton Municipal Airport (75 FR 20794) Docket No. FAA-2009-0190... Policies and Procedures (44 FR 11034; February 26, 1979); and (3) does not warrant preparation of a... read as follows: Authority: 49 U.S.C. 106(g), 40103, 40113, 40120; E. O. 10854, 24 FR 9565, 3 CFR,...
Federal Register 2010, 2011, 2012, 2013, 2014
2013-05-16
... Energy Regulatory Commission Hamilton Street Hydro, LLC; Notice of Preliminary Permit Application..., 2013, Hamilton Street Hydro, LLC, filed an application for a preliminary permit, pursuant to section 4... Boumansour, Hamilton Street Hydro, LLC, 1401 Walnut Street, Suite 301, Boulder, CO 80302; phone: (303)...
Federal Register 2010, 2011, 2012, 2013, 2014
2013-01-15
... Fish and Wildlife Service Sam D. Hamilton Noxubee National Wildlife Refuge, MS; Intent To Prepare a... conservation plan (CCP) and associated National Environmental Policy Act (NEPA) documents for Sam D. Hamilton... information to: Mr. Steve Reagan, Project Leader, Sam D. Hamilton Noxubee NWR, 2970 Bluff Lake...
Efficient solution for finding Hamilton cycles in undirected graphs.
Alhalabi, Wadee; Kitanneh, Omar; Alharbi, Amira; Balfakih, Zain; Sarirete, Akila
2016-01-01
The Hamilton cycle problem is closely related to a series of famous problems and puzzles (traveling salesman problem, Icosian game) and, due to the fact that it is NP-complete, it was extensively studied with different algorithms to solve it. The most efficient algorithm is not known. In this paper, a necessary condition for an arbitrary un-directed graph to have Hamilton cycle is proposed. Based on this condition, a mathematical solution for this problem is developed and several proofs and an algorithmic approach are introduced. The algorithm is successfully implemented on many Hamiltonian and non-Hamiltonian graphs. This provides a new effective approach to solve a problem that is fundamental in graph theory and can influence the manner in which the existing applications are used and improved. PMID:27516930
Research on Necessary and Sufficient Condition for Hamilton Graph
NASA Astrophysics Data System (ADS)
Cui, Yan; Cui, Chao-Dong
An important concept, "closed domain" is proposed in this paper. In the same time, necessary and sufficient lemma for closed domain, R, is proved on which necessary and sufficient theorem for judging whether a general graph G is a Hamilton graph is proposed and proved. All instances in this paper are judged by comparatively using the theorem proposed herein and the original necessary condition theorem and sufficient condition theorem to prove the correctness of the method proposed in this paper.
[Factorial analysis of the Hamilton depression scale, II].
Dreyfus, J F; Guelfi, J D; Ruschel, S; Blanchard, C; Pichot, P
1981-04-01
A factorial analysis (principal components with Varimax rotation) was performed on 85 ratings of the Hamilton Depression Rating Scale obtained in 1979-1980 on inpatients with a major depressive illness. Using a replicable statistical technique, 4 factors were obtained. These factors do not overlap with those obtain on a similar sample with a similar technique nor with those obtained by other authors. It thus appears that there is no such thing as a factorial structure of this scale. PMID:7305179
Hamilton-Jacobi formalism for string gas thermodynamics
Joseph, Anosh; Rajeev, Sarada G.
2009-03-15
We show that the thermodynamics of a system of strings at high energy densities under the ideal gas approximation has a formulation in terms of the Hamilton-Jacobi theory. The two parameters of the system, which have dimensions of energy density and number density, respectively, define a family of hypersurfaces of a codimension one, which can be described by the vanishing of a function F that plays the role of a Hamiltonian.
Bäcklund transformations relating different Hamilton-Jacobi equations
NASA Astrophysics Data System (ADS)
Sozonov, A. P.; Tsiganov, A. V.
2015-06-01
We discuss one of the possible finite-dimensional analogues of the general Bäcklund transformation relating different partial differential equations. We show that different Hamilton-Jacobi equations can be obtained from the same Lax matrix. We consider Hénon-Heiles systems on the plane, Neumann and Chaplygin systems on the sphere, and two integrable systems with velocity-dependent potentials as examples.
Central Schemes for Multi-Dimensional Hamilton-Jacobi Equations
NASA Technical Reports Server (NTRS)
Bryson, Steve; Levy, Doron; Biegel, Bryan (Technical Monitor)
2002-01-01
We present new, efficient central schemes for multi-dimensional Hamilton-Jacobi equations. These non-oscillatory, non-staggered schemes are first- and second-order accurate and are designed to scale well with an increasing dimension. Efficiency is obtained by carefully choosing the location of the evolution points and by using a one-dimensional projection step. First-and second-order accuracy is verified for a variety of multi-dimensional, convex and non-convex problems.
Hamilton-Jacobi formalism for string gas thermodynamics
NASA Astrophysics Data System (ADS)
Joseph, Anosh; Rajeev, Sarada G.
2009-03-01
We show that the thermodynamics of a system of strings at high energy densities under the ideal gas approximation has a formulation in terms of the Hamilton-Jacobi theory. The two parameters of the system, which have dimensions of energy density and number density, respectively, define a family of hypersurfaces of a codimension one, which can be described by the vanishing of a function F that plays the role of a Hamiltonian.
Hamilton's forces of natural selection after forty years.
Rose, Michael R; Rauser, Casandra L; Benford, Gregory; Matos, Margarida; Mueller, Laurence D
2007-06-01
In 1966, William D. Hamilton published a landmark paper in evolutionary biology: "The Moulding of Senescence by Natural Selection." It is now apparent that this article is as important as his better-known 1964 articles on kin selection. Not only did the 1966 article explain aging, it also supplied the basic scaling forces for natural selection over the entire life history. Like the Lorentz transformations of relativistic physics, Hamilton's Forces of Natural Selection provide an overarching framework for understanding the power of natural selection at early ages, the existence of aging, the timing of aging, the cessation of aging, and the timing of the cessation of aging. His twin Forces show that natural selection shapes survival and fecundity in different ways, so their evolution can be somewhat distinct. Hamilton's Forces also define the context in which genetic variation is shaped. The Forces of Natural Selection are readily manipulable using experimental evolution, allowing the deceleration or acceleration of aging, and the shifting of the transition ages between development, aging, and late life. For these reasons, evolutionary research on the demographic features of life history should be referred to as "Hamiltonian." PMID:17542838
Kaur, Harpreet; Singh, Ranjeet
2010-04-01
The present communication deals with description of one new species of Myxobolus (Myxozoa: Myxosporea: Bivalvulida), M. sclerii sp. nov. infecting eye ball of Catla catla (Hamilton) and redescription of M. stomum infecting scales of Labeo rohita (Hamilton), two major carps of Kanjali and Ropar Wetlands respectively. Spores of M. sclerii sp. nov. measure 7.9-9.5(8.7 ± 1.13) × 4.3-5.7(5 ± 0.98) μm in size. Parietal folds absent. Polar capsules two, equal and measuring 4-5.4(4.7 ± 0.98) × 1-2.6(1.8 ± 1.31) μm in size. A rod-shaped medium-sized intercapsular process is present. Iodinophilous vacuole present measuring 2.19-4.13(3.16 ± 1.37) μm in diameter. Spores of M. stomum Ali et al.2003 measure 9.8-10.3(10.0 ± 0.35) × 7.9-8.7(8.3 ± 0.56) μm in size, with rounded anterior and posterior end. Spore valves smooth, symmetrical, thick measuring 0.88 μm in thickness. Parietal folds absent. Two anteriorly situated polar capsules are equal, pear-shaped measuring 4.8-5.2(5.0 ± 0.28) × 1.5-2.3(1.9 ± 0.56) μm in size, each with a neck leading to a fine duct opening independently. Both polar capsules converge slightly anteriorly but diverge apart posteriorly occupying more than half of spore body. Intercapsular appendix is absent. Earlier, the parasite was recorded in the buccal cavity, muscles and lips of Plectorhynchus gaterinus (Forsskal), Egypt. A new locality-Ropar Wetland, a new location-scales and a new host- Labeo rohita (Hamilton) are recorded for this parasite. PMID:21526031
Hamilton-Jacobi method for curved domain walls and cosmologies
NASA Astrophysics Data System (ADS)
Skenderis, Kostas; Townsend, Paul K.
2006-12-01
We use Hamiltonian methods to study curved domain walls and cosmologies. This leads naturally to first-order equations for all domain walls and cosmologies foliated by slices of maximal symmetry. For Minkowski and AdS-sliced domain walls (flat and closed FLRW cosmologies) we recover a recent result concerning their (pseudo)supersymmetry. We show how domain-wall stability is consistent with the instability of AdS vacua that violate the Breitenlohner-Freedman bound. We also explore the relationship to Hamilton-Jacobi theory and compute the wave-function of a 3-dimensional closed universe evolving towards de Sitter spacetime.
Hamilton-Jacobi approach to non-slow-roll inflation
NASA Astrophysics Data System (ADS)
Kinney, William H.
1997-08-01
I describe a general approach to characterizing cosmological inflation outside the standard slow-roll approximation, based on the Hamilton-Jacobi formulation of scalar field dynamics. The basic idea is to view the equation of state of the scalar field matter as the fundamental dynamical variable, as opposed to the field value or the expansion rate. I discuss how to formulate the equations of motion for scalar and tensor fluctuations in situations where the assumption of slow roll is not valid. I apply the general results to the simple case of inflation from an ``inverted'' polynomial potential, and to the more complicated case of hybrid inflation.
Hamilton-Jacobi solutions for strongly coupled gravity and matter
NASA Astrophysics Data System (ADS)
Salopek, D. S.
1998-05-01
A Green function method is developed for solving strongly coupled gravity and matter in the semiclassical limit. In the strong-coupling limit, one assumes that Newton's constant approaches infinity, 0264-9381/15/5/009/img1. As a result, one may neglect second-order spatial gradients, and each spatial point evolves like a homogeneous universe. After constructing the Green function solution to the Hamiltonian constraint, the momentum constraint is solved using functional methods in conjunction with the superposition principle for Hamilton-Jacobi theory. Exact and approximate solutions are given for a dust field or a scalar field interacting with gravity.
Inhibitory effect of Pistia tannin on digestive enzymes of Indian major carps: an in vitro study.
Mandal, Sudipta; Ghosh, Koushik
2010-12-01
Aquatic weeds are one of the major unconventional feed ingredients tested for aquafeed formulation. Tannin content in the water lettuce, Pistia, has been quantified (26.67 mg g(-1); dry weight) and graded levels of which (12.5-200 μg) have been incorporated in the reaction mixtures to evaluate any change in the in vitro activity of the principal digestive enzymes from the three Indian major carps (IMC), namely rohu (Labeo rohita), catla (Catla catla) and mrigala (Cirrhinus mrigala). Result of the experiment revealed that the Pistia tannin (PT) significantly inhibit/lower the activities of the digestive enzymes from three IMCs in a dose-dependent manner, even at very low concentration. Significant variation in the reduction of the enzyme activities was noticed between the three fish species, as well as between the three enzymes studied. Among the three species studied, digestive enzymes from L. rohita were found to be the most sensitive to the PT, whereas enzymes from C. catla were found to be comparatively least affected. On the other hand, protease and lipase activities were comparatively more affected than the amylase activity. The results of the study suggest that more stress should be given on the elimination of tannin while incorporating feed ingredients of plant origin in fish diets. PMID:20369287
Hossain, M Motaleb; Rahman, Mahabubur; Hassan, M Nazmul; Nowsad, A A K M
2013-06-15
Post-harvest loss of catla (Catla catla), rohu (Labeo rohita), mrigal (Cirrhinus mrigala), silver carp (Hypophthalmichthys molitrix), grass carp (Ctenopharyngodon idella) and sarpunti (Puntius sarana) in a single distribution chain from harvest in Mymensingh to retail sale Rangpur town were determined, in order to obtain information on quality deterioration and existing handling and icing conditions so that suggestions for improving such practices can be made. Quality defect points of the fish at different steps of distribution channels were determined using a sensory based quality assessment tool. Percent quality loss of fish at each step of distribution was calculated from the number of cases that crossed sensory quality cut-off points. Neither of the fish lost their quality when they were in the farm gate, during transportation and in wholesale markets in Rangpur but most of the fishes lost their quality at the retail fish shops. The quality loss was 8, 12, 8, 6, 10 and 14% in case of C. catla, C. mrigala, L. rohita, H. molitrix, C. idella and P. sarana respectively in the retail markets. Fishes were not properly handled, bamboo baskets wrapped with polythene sheet were used as carrying container and inadequate ice was used during transportation. Retailers were found to be more proactive in the use of ice. However, most of the fishes were deteriorated during retail sale. The losses of farmed fishes could be minimized by adopting good handling practices like using insulated container and adequate icing. PMID:24494525
Federal Register 2010, 2011, 2012, 2013, 2014
2012-08-28
... Museum of Anthropology, Department of Sociology and Anthropology, Colgate University, 13 Oak Dr... Anthropology, Department of Sociology and Anthropology, Colgate University, 13 Oak Dr., Hamilton, NY...
Federal Register 2010, 2011, 2012, 2013, 2014
2011-08-08
... Anthropology, Department of Sociology and Anthropology, Colgate University, 13 Oak Dr., Hamilton, NY 13346.... Jordan Kerber, Longyear Museum of Anthropology, Department of Sociology and Anthropology,...
Unified formalism for the generalized kth-order Hamilton-Jacobi problem
NASA Astrophysics Data System (ADS)
Colombo, Leonardo; de Léon, Manuel; Prieto-Martínez, Pedro Daniel; Román-Roy, Narciso
2014-08-01
The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unified Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacobi theory on higher-order autonomous dynamical systems described by regular Lagrangian functions.
Federal Register 2010, 2011, 2012, 2013, 2014
2013-04-17
... From the Federal Register Online via the Government Publishing Office DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Hamilton Street Hydro, LLC; Notice of Preliminary Permit Application Accepted for Filing and Soliciting Comments, Motions To Intervene, and Competing Applications On February 19, 2013, Hamilton Street Hydro, LLC,...
Federal Register 2010, 2011, 2012, 2013, 2014
2013-04-17
... From the Federal Register Online via the Government Publishing Office DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Hamilton Street Hydro, LLC; Notice of Preliminary Permit Application Accepted for Filing and Soliciting Comments, Motions To Intervene, and Competing Applications On February 19, 2013, Hamilton Street Hydro, LLC,...
77 FR 52135 - Hamilton Bank, Baltimore, Maryland; Approval of Conversion Application
Federal Register 2010, 2011, 2012, 2013, 2014
2012-08-28
... From the Federal Register Online via the Government Publishing Office DEPARTMENT OF THE TREASURY Office of the Comptroller of the Currency Hamilton Bank, Baltimore, Maryland; Approval of Conversion...) approved the application of Hamilton Bank, Baltimore, Maryland to convert to the stock form of...
A Celebration of Voices: The Virginia Hamilton Conference on Multicultural Literature for Youth.
ERIC Educational Resources Information Center
Hill, Janet
2001-01-01
Focuses on the establishment of, changes in, and discussions that have taken place at the Virginia Hamilton Conference on Multicultural Literature for Youth, celebrating its 17th year of stimulating dialogue on children's books. The conference honors author Virginia Hamilton, winner of almost every major award in the field of children's…
Sense of Belonging and Mental Health in Hamilton, Ontario: An Intra-Urban Analysis
ERIC Educational Resources Information Center
Kitchen, Peter; Williams, Allison; Chowhan, James
2012-01-01
This paper examines geographic variations in sense of community belonging in Hamilton, Ontario. It also identifies the most significant health and social factors associated with belonging in the city. The research employs data from the 2007/08 Canadian Community Health Survey for respondents aged 18 or over living in the Hamilton Census…
Surface Modification of ZnO Nanorods with Hamilton Receptors
Zeininger, Lukas; Klaumünzer, Martin; Peukert, Wolfgang; Hirsch, Andreas
2015-01-01
A new prototype of a Hamilton receptor suitable for the functionalization of inorganic nanoparticles was synthesized and characterized. The hydrogen bonding receptor was coupled to a catechol moiety, which served as anchor group for the functionalization of metal oxides, in particular zinc oxide. Synthesized zinc oxide nanorods [ZnO] were used for surface functionalization. The wet-chemical functionalization procedure towards monolayer-grafted particles [ZnO-HR] is described and a detailed characterization study is presented. In addition, the detection of specific cyanurate molecules is demonstrated. The hybrid structures [ZnO-HR-CA] were stable towards agglomeration and exhibited enhanced dispersability in apolar solvents. This observation, in combination with several spectroscopic experiments gave evidence of the highly directional supramolecular recognition at the surface of nanoparticles. PMID:25872141
Quantum interference within the complex quantum Hamilton-Jacobi formalism
Chou, Chia-Chun; Sanz, Angel S.; Miret-Artes, Salvador; Wyatt, Robert E.
2010-10-15
Quantum interference is investigated within the complex quantum Hamilton-Jacobi formalism. As shown in a previous work [Phys. Rev. Lett. 102 (2009) 250401], complex quantum trajectories display helical wrapping around stagnation tubes and hyperbolic deflection near vortical tubes, these structures being prominent features of quantum caves in space-time Argand plots. Here, we further analyze the divergence and vorticity of the quantum momentum function along streamlines near poles, showing the intricacy of the complex dynamics. Nevertheless, despite this behavior, we show that the appearance of the well-known interference features (on the real axis) can be easily understood in terms of the rotation of the nodal line in the complex plane. This offers a unified description of interference as well as an elegant and practical method to compute the lifetime for interference features, defined in terms of the average wrapping time, i.e., considering such features as a resonant process.
Surface modification of ZnO nanorods with Hamilton receptors.
Zeininger, Lukas; Klaumünzer, Martin; Peukert, Wolfgang; Hirsch, Andreas
2015-01-01
A new prototype of a Hamilton receptor suitable for the functionalization of inorganic nanoparticles was synthesized and characterized. The hydrogen bonding receptor was coupled to a catechol moiety, which served as anchor group for the functionalization of metal oxides, in particular zinc oxide. Synthesized zinc oxide nanorods [ZnO] were used for surface functionalization. The wet-chemical functionalization procedure towards monolayer-grafted particles [ZnO-HR] is described and a detailed characterization study is presented. In addition, the detection of specific cyanurate molecules is demonstrated. The hybrid structures [ZnO-HR-CA] were stable towards agglomeration and exhibited enhanced dispersability in apolar solvents. This observation, in combination with several spectroscopic experiments gave evidence of the highly directional supramolecular recognition at the surface of nanoparticles. PMID:25872141
Particle dynamics inside shocks in Hamilton-Jacobi equations.
Khanin, Konstantin; Sobolevski, Andrei
2010-04-13
The characteristic curves of a Hamilton-Jacobi equation can be seen as action-minimizing trajectories of fluid particles. For non-smooth 'viscosity' solutions, which give rise to discontinuous velocity fields, this description is usually pursued only up to the moment when trajectories hit a shock and cease to minimize the Lagrangian action. In this paper we show that, for any convex Hamiltonian, there exists a uniquely defined canonical global non-smooth coalescing flow that extends particle trajectories and determines the dynamics inside shocks. We also provide a variational description of the corresponding effective velocity field inside shocks, and discuss the relation to the 'dissipative anomaly' in the limit of vanishing viscosity. PMID:20211875
Hamilton's inclusive fitness in finite-structured populations
Taylor, Peter D.; Maciejewski, Wes
2014-01-01
Hamilton's formulation of inclusive fitness has been with us for 50 years. During the first 20 of those years attention was largely focused on the evolutionary trajectories of different behaviours, but over the past 20 years interest has been growing in the effect of population structure on the evolution of behaviour and that is our focus here. We discuss the evolutionary journey of the inclusive-fitness effect over this epoch, nurtured as it was in an essentially homogeneous environment (that of ‘transitive’ structures) having to adapt in different ways to meet the expectations of heterogeneous structures. We pay particular attention to the way in which the theory has managed to adapt the original constructs of relatedness and reproductive value to provide a formulation of inclusive fitness that captures a precise measure of allele-frequency change in finite-structured populations. PMID:24686932
ERIC Educational Resources Information Center
Muse, Daphne
2002-01-01
Presents a tribute to Virginia Hamilton. Notes that at a time when Black people, especially girls, were seriously beginning to struggle with self-acceptance and self-worth, Hamilton's "bold and imaginative writing was nothing short of revolutionary." (SG)
NASA Astrophysics Data System (ADS)
Fu, Jing-Li; Fu, Li-Ping; Chen, Ben-Yong; Sun, Yi
2016-01-01
This letter focuses on studying Lie symmetries and their inverse problems of the fractional nonholonomic Hamilton systems. Based on the invariance of the fractional motion equations, constraint equations and virtual displacement restrictive conditions of the systems under the infinitesimal transformation with respect to the time and generalized coordinates, the Lie symmetries and conserved quantities of the fractional nonholonomic Hamilton system are discussed and the corresponding definitions, determining equations, limiting equations, additional restricting equations and Lie theorems are given. The letter also systematically studies inverse theorems of Lie symmetries of the fractional nonholonomic Hamilton systems. Finally, an example is discussed to illustrate theses results.
Quantum line bundles via Cayley-Hamilton identity
NASA Astrophysics Data System (ADS)
Gurevich, D.; Saponov, P.
2001-06-01
As shown by Pyatov and Saponov (1995 J. Phys. A: Math. Gen. 28 4415-21) and Gurevich et al (1997 Lett. Math. Phys. 41 255-64), the matrix L = || lij||, whose entries lij are generators of the so-called reflection equation algebra (REA), is subject to some polynomial identity resembling the Cayley-Hamilton identity for a numerical matrix. Here a similar statement is presented for a matrix whose entries are generators of a filtered algebra that is a `non-commutative analogue' of the REA. In an appropriate limit we obtain a similar statement for the matrix formed by the generators of the algebra U(gl(n)). This property is used to introduce the notion of line bundles over quantum orbits in the spirit of the Serre-Swan approach. The quantum orbits in question are presented explicitly as some quotients of one of the algebras mentioned above both in the quasiclassical case (i.e. that related to the quantum group Uq(sl(n))) and a non-quasiclassical one (i.e. that arising from a Hecke symmetry with non-standard Poincaré series of the corresponding symmetric and skew-symmetric algebras).
Quantum streamlines within the complex quantum Hamilton-Jacobi formalism
Chou, C.-C.; Wyatt, Robert E.
2008-09-28
Quantum streamlines are investigated in the framework of the quantum Hamilton-Jacobi formalism. The local structures of the quantum momentum function (QMF) and the Polya vector field near a stagnation point or a pole are analyzed. Streamlines near a stagnation point of the QMF may spiral into or away from it, or they may become circles centered on this point or straight lines. Additionally, streamlines near a pole display east-west and north-south opening hyperbolic structure. On the other hand, streamlines near a stagnation point of the Polya vector field for the QMF display general hyperbolic structure, and streamlines near a pole become circles enclosing the pole. Furthermore, the local structures of the QMF and the Polya vector field around a stagnation point are related to the first derivative of the QMF; however, the magnitude of the asymptotic structures for these two fields near a pole depends only on the order of the node in the wave function. Two nonstationary states constructed from the eigenstates of the harmonic oscillator are used to illustrate the local structures of these two fields and the dynamics of the streamlines near a stagnation point or a pole. This study presents the abundant dynamics of the streamlines in the complex space for one-dimensional time-dependent problems.
An electromechanical model of neuronal dynamics using Hamilton's principle
Drapaca, Corina S.
2015-01-01
Damage of the brain may be caused by mechanical loads such as penetration, blunt force, shock loading from blast, and by chemical imbalances due to neurological diseases and aging that trigger not only neuronal degeneration but also changes in the mechanical properties of brain tissue. An understanding of the interconnected nature of the electro-chemo-mechanical processes that result in brain damage and ultimately loss of functionality is currently lacking. While modern mathematical models that focus on how to link brain mechanics to its biochemistry are essential in enhancing our understanding of brain science, the lack of experimental data required by these models as well as the complexity of the corresponding computations render these models hard to use in clinical applications. In this paper we propose a unified variational framework for the modeling of neuronal electromechanics. We introduce a constrained Lagrangian formulation that takes into account Newton's law of motion of a linear viscoelastic Kelvin–Voigt solid-state neuron as well as the classic Hodgkin–Huxley equations of the electronic neuron. The system of differential equations describing neuronal electromechanics is obtained by applying Hamilton's principle. Numerical simulations of possible damage dynamics in neurons will be presented. PMID:26236195
The responsiveness of the Hamilton Depression Rating Scale.
Faries, D; Herrera, J; Rayamajhi, J; DeBrota, D; Demitrack, M; Potter, W Z
2000-01-01
In clinical studies of antidepressants, the Hamilton Depression Rating Scale (HAMD) total score has been the gold standard instrument for establishing and comparing the efficacy of new treatments. However, the HAMD is a multidimensional measure, which may reduce its ability to detect differences between treatments, in particular, changes in core symptoms of depression. Two meta-analyses were conducted to compare the responsiveness of the HAMD total score with several published unidimensional subscale scores based upon core symptoms of depression. The first compared the above instrument's ability to detect differences between fluoxetine and placebo across eight studies involving over 1600 patients. The second analysis involved four studies and over 1200 patients randomized to tricyclic antidepressants and placebo. In both meta-analyses, the unidimensional core subscales outperformed the HAMD total score at detecting treatment differences. The implications of this on sample sizes and power for clinical studies will be discussed. In fact, studies based on the observed effect sizes from the core subscales would require approximately one-third less patients than studies based on the HAMD total score. Effect sizes from each individual HAMD item will also be presented to help explain the differences in responsiveness between the scales. PMID:10696827
The identity of Hamilton's Ticto Barb, Pethia ticto (Teleostei: Cyprinidae).
Katwate, Unmesh; Raghavan, Rajeev; Dahanukar, Neelesh
2015-01-01
While describing the fishes of Ganges, Hamilton described Cyprinus ticto (now allocated to Pethia) from south-eastern parts of Bengal. The unavailability of type material and insufficient diagnostic characters in the original description resulted in ambiguities in the identity of this species. In this paper, we clarify the identity of P. ticto through an integrative-taxonomic approach. Pethia ticto can be distinguished from all other known species of the genus by a combination of characters that includes an abbreviated lateral line with 6-12 pored scales; 23-26 scales in lateral-scale row; 9 predorsal scales; ½4/1/3½-4 scales in transverse series; and a pigmentation pattern that includes a small black humeral spot covering the third and fourth lateral-line scales, a prominent spot on the caudal peduncle on the 16th-19th scales of the lateral-line scale row, and two rows of black spots scattered on the dorsal fin. PMID:26249452
On Dynamics of Lagrangian Trajectories for Hamilton-Jacobi Equations
NASA Astrophysics Data System (ADS)
Khanin, Konstantin; Sobolevski, Andrei
2016-02-01
Characteristic curves of a Hamilton-Jacobi equation can be seen as action minimizing trajectories of fluid particles. However this description is valid only for smooth solutions. For nonsmooth "viscosity" solutions, which give rise to discontinuous velocity fields, this picture holds only up to the moment when trajectories hit a shock and cease to minimize the Lagrangian action. In this paper we discuss two physically meaningful regularization procedures, one corresponding to vanishing viscosity and another to weak noise limit. We show that for any convex Hamiltonian, a viscous regularization allows us to construct a nonsmooth flow that extends particle trajectories and determines dynamics inside the shock manifolds. This flow consists of integral curves of a particular "effective" velocity field, which is uniquely defined everywhere in the flow domain and is discontinuous on shock manifolds. The effective velocity field arising in the weak noise limit is generally non-unique and different from the viscous one, but in both cases there is a fundamental self-consistency condition constraining the dynamics.
Quantum vortices within the complex quantum Hamilton-Jacobi formalism.
Chou, Chia-Chun; Wyatt, Robert E
2008-06-21
Quantum vortices are investigated in the framework of the quantum Hamilton-Jacobi formalism. A quantum vortex forms around a node in the wave function in the complex space, and the quantized circulation integral originates from the discontinuity in the real part of the complex action. Although the quantum momentum field displays hyperbolic flow around a node, the corresponding Polya vector field displays circular flow. It is shown that the Polya vector field of the quantum momentum function is parallel to contours of the probability density. A nonstationary state constructed from eigenstates of the harmonic oscillator is used to illustrate the formation of a transient excited state quantum vortex, and the coupled harmonic oscillator is used to illustrate quantization of the circulation integral in the multidimensional complex space. This study not only analyzes the formation of quantum vortices but also demonstrates the local structures for the quantum momentum field and for the Polya vector field near a node of the wave function. PMID:18570490
Quantum streamlines within the complex quantum Hamilton-Jacobi formalism.
Chou, Chia-Chun; Wyatt, Robert E
2008-09-28
Quantum streamlines are investigated in the framework of the quantum Hamilton-Jacobi formalism. The local structures of the quantum momentum function (QMF) and the Polya vector field near a stagnation point or a pole are analyzed. Streamlines near a stagnation point of the QMF may spiral into or away from it, or they may become circles centered on this point or straight lines. Additionally, streamlines near a pole display east-west and north-south opening hyperbolic structure. On the other hand, streamlines near a stagnation point of the Polya vector field for the QMF display general hyperbolic structure, and streamlines near a pole become circles enclosing the pole. Furthermore, the local structures of the QMF and the Polya vector field around a stagnation point are related to the first derivative of the QMF; however, the magnitude of the asymptotic structures for these two fields near a pole depends only on the order of the node in the wave function. Two nonstationary states constructed from the eigenstates of the harmonic oscillator are used to illustrate the local structures of these two fields and the dynamics of the streamlines near a stagnation point or a pole. This study presents the abundant dynamics of the streamlines in the complex space for one-dimensional time-dependent problems. PMID:19045012
Quantitative Compactness Estimates for Hamilton-Jacobi Equations
NASA Astrophysics Data System (ADS)
Ancona, Fabio; Cannarsa, Piermarco; Nguyen, Khai T.
2016-02-01
We study quantitative compactness estimates in {W^{1,1}_{loc}} for the map {S_t}, {t > 0} that is associated with the given initial data {u_0in Lip (R^N)} for the corresponding solution {S_t u_0} of a Hamilton-Jacobi equation u_t+Hbig(nabla_{x} ubig)=0, qquad t≥ 0,quad xinR^N, with a uniformly convex Hamiltonian {H=H(p)}. We provide upper and lower estimates of order {1/\\varepsilon^N} on the Kolmogorov {\\varepsilon}-entropy in {W^{1,1}} of the image through the map S t of sets of bounded, compactly supported initial data. Estimates of this type are inspired by a question posed by Lax (Course on Hyperbolic Systems of Conservation Laws. XXVII Scuola Estiva di Fisica Matematica, Ravello, 2002) within the context of conservation laws, and could provide a measure of the order of "resolution" of a numerical method implemented for this equation.
Federal Register 2010, 2011, 2012, 2013, 2014
2010-03-16
... Hamilton County, OH On February 24, 2010, Norfolk Southern Railway Company (NSR) filed with the Surface... discontinue service over 5.70 miles of railroad between milepost CT 2.10 and milepost CT 7.80, in...
Stochastic homogenization of nonconvex Hamilton-Jacobi equations in one space dimension
NASA Astrophysics Data System (ADS)
Armstrong, Scott N.; Tran, Hung V.; Yu, Yifeng
2016-09-01
We prove stochastic homogenization for a general class of coercive, nonconvex Hamilton-Jacobi equations in one space dimension. Some properties of the effective Hamiltonian arising in the nonconvex case are also discussed.
NASA Technical Reports Server (NTRS)
Fitzpatrick, P. M.; Harmon, G. R.; Cochran, J. E.; Shaw, W. A.
1974-01-01
Some methods of approaching a solution to the Hamilton-Jacobi equation are outlined and examples are given to illustrate particular methods. These methods may be used for cases where the Hamilton-Jacobi equation is not separable and have been particularly useful in solving the rigid body motion of an earth satellite subjected to gravity torques. These general applications may also have usefulness in studying the motion of satellites with aerodynamic torque and in studying space vehicle motion where thrusting is involved.
Hamilton study: estimating exposure to ambient suspended particles
Pengelly, L.D.; Goldsmith, C.H.; Kerigan, A.T.; Furlong, W.; Toplack, S.
1987-12-01
In the industrial city of Hamilton, Ontario, Canada, we recently carried out an epidemiological study of the effect of environmental factors on respiratory health in 3500 elementary school children. The level and size distribution of suspended particles in ambient air was measured from 24-h samples taken at 6-day intervals from a network of 29 hivol TSP samplers, and nine Andersen 2000 4-stage cascade impactors. Exposure was computed by generating a 3-dimensional response surface using a linear regression model of the form: TSP = (1 + E + N)/sup 2/, based on monthly geometrical mean data for all sites. From this response surface generated for a given month, TSP levels were predicted by the model for all schools by specifying their geographical coordinates. The yearly exposure for a given child was determined from the arithmetic mean of the predicted values for 12 monthly TSP levels. A similar procedure was employed for calculation of the exposure to the fine (less than or equal to 3.3 ..mu..m) and coarse (> 3.3 ..mu..m) size fraction, as well as the aerodynamic mass median diameter of particles from the network of cascade impactors. Results of the measurements showed that gradients for TSP up to approximately 10 ..mu..g/m/sup 3//km exist over the city covering distances from 5 to 10 km. The range of 1 yr mean exposure values calculated for each child was from 30.5 ..mu..g/m/sup 3/ to 74.5 ..mu../m/sup 3/. Comparable figures for particle size were up to 0.3 ..mu..m AMMD (aerodynamic mass median diameter)/km and annual mean particle size exposure from 2.69 to 3.53 ..mu..m AMMD.
Testing the Hamilton-Zuk hypothesis: past, present, and future.
Balenger, Susan L; Zuk, Marlene
2014-10-01
Hamilton and Zuk proposed a good-genes model of sexual selection in which genetic variation can be maintained when females prefer ornaments that indicate resistance to parasites. When trait expression depends on a male's resistance, the co-adaptive cycles between host resistance and parasite virulence provide a mechanism in which genetic variation for fitness is continually renewed. The model made predictions at both the intraspecific and interspecific levels. In the three decades since its publication, these predictions have been theoretically examined in models of varying complexity, and empirically tested across many vertebrate and invertebrate taxa. Despite such prolonged interest, however, it has turned out to be extremely difficult to empirically demonstrate the process described, in part because we have not been able to test the underlying mechanisms that would unequivocally identify how parasites act as mediators of sexual selection. Here, we discuss how the use of high-throughput sequencing datasets available from modern genomic approaches might improve our ability to test this model. We expect that important contributions will come through the ability to identify and quantify the suite of parasites likely to influence the evolution of hosts' resistance, to confidently reconstruct phylogenies of both host and parasite taxa, and, perhaps most exciting, to detect generational cycles of heritable variants in populations of hosts and parasites. Integrative approaches, building on systems undergoing parasite-mediated selection with genomic resources already available, will be particularly useful in moving toward robust tests of this hypothesis. We finish by presenting case studies of well-studied host-parasite relationships that represent promising avenues for future research. PMID:24876194
Holographic Wilson loops, Hamilton-Jacobi equation, and regularizations
NASA Astrophysics Data System (ADS)
Pontello, Diego; Trinchero, Roberto
2016-04-01
The minimal area for surfaces whose borders are rectangular and circular loops are calculated using the Hamilton-Jacobi (HJ) equation. This amounts to solving the HJ equation for the value of the minimal area, without calculating the shape of the corresponding surface. This is done for bulk geometries that are asymptotically anti-de Sitter (AdS). For the rectangular contour, the HJ equation, which is separable, can be solved exactly. For the circular contour an expansion in powers of the radius is implemented. The HJ approach naturally leads to a regularization which consists in locating the contour away from the border. The results are compared with the ɛ -regularization which leaves the contour at the border and calculates the area of the corresponding minimal surface up to a diameter smaller than the one of the contour at the border. The results for the circular loop do not coincide if the expansion parameter is taken to be the radius of the contour at the border. It is shown that using this expansion parameter the ɛ -regularization leads to incorrect results for certain solvable non-AdS cases. However, if the expansion parameter is taken to be the radius of the minimal surface whose area is computed, then the results coincide with the HJ scheme. This is traced back to the fact that in the HJ case the expansion parameter for the area of a minimal surface is intrinsic to the surface; however, the radius of the contour at the border is related to the way one chooses to regularize in the ɛ -scheme the calculation of this area.
Game theory to characterize solutions of a discrete-time Hamilton-Jacobi equation
NASA Astrophysics Data System (ADS)
Toledo, Porfirio
2013-12-01
We study the behavior of solutions of a discrete-time Hamilton-Jacobi equation in a minimax framework of game theory. The solutions of this problem represent the optimal payoff of a zero-sum game of two players, where the number of moves between the players converges to infinity. A real number, called the critical value, plays a central role in this work; this number is the asymptotic average action of optimal trajectories. The aim of this paper is to show the existence and characterization of solutions of a Hamilton-Jacobi equation for this kind of games.
Hawking radiation of Kerr-de Sitter black holes using Hamilton-Jacobi method
NASA Astrophysics Data System (ADS)
Ibungochouba Singh, T.; Ablu Meitei, I.; Yugindro Singh, K.
2013-05-01
Hawking radiation of Kerr-de Sitter black hole is investigated using Hamilton-Jacobi method. When the well-behaved Painleve coordinate system and Eddington coordinate are used, we get the correct result of Bekenstein-Hawking entropy before and after radiation but a direct computation will lead to a wrong result via Hamilton-Jacobi method. Our results show that the tunneling probability is related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal but it is consistent with underlying unitary theory.
ERIC Educational Resources Information Center
Field, J. H.
2011-01-01
It is shown how the time-dependent Schrodinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equation of classical mechanics. Schrodinger's own published derivations of quantum wave equations, the first of which was also based on the Hamilton-Jacobi…
Federal Register 2010, 2011, 2012, 2013, 2014
2012-02-03
... Federal Energy Regulatory Commission City of Hamilton, Ohio; American Municipal Power, Inc.; Notice of... Filed: November 30, 2011. d. Applicant: City of Hamilton, Ohio and American Municipal Power, Inc. e... serve a copy of the document on that resource agency. k. Description of Request: The City of...
To optimize the Hamilton-Thorn Motility Analyzer (HIM, Hamilton-Thorn Research, Beverly, MA) for use in reproductive toxicology studies with rat spermatozoa, the accuracy and precision of the instrument were assessed under a variety of instrument settings. ideotapes of both fast ...
Obituary: George Hamilton Bowen Jr. (1925-2009)
NASA Astrophysics Data System (ADS)
Willson, Lee Anne; Struck, Curtis
2011-12-01
Our colleague and collaborator George Hamilton Bowen, Jr., passed away November 1, 2009 in Ames, Iowa. George was born June 20, 1925 in Tulsa, Oklahoma to George and Dorothy (Huntington) Bowen. He married Marjorie Brown June 19, 1948 in Redondo Beach, California; they had five children, with eight grandchildren and five great-grandchildren at the time of his death. George H. Bowen's third or perhaps his fourth career was in astronomy. He was drafted into the navy in 1944, at the end of his first year as a student at Caltech, and ended his war-time service as an electronic technician on the aircraft carrier Shangri-La. He later said "In just nine months, starting from scratch (Ohm's law!), we learned an amazing amount - not by memorization, of course, but by study and real understanding of the basic function of the most advanced AC circuits then being used for instrumentation, measurements, communications, control systems, and much more." He gained a confidence that he could quickly and accurately diagnose and solve technical problems that stood him well in future work. One accomplishment he took particular pride in was figuring out how the radar control used cams and gears to solve the trigonometry for accurate pointing. He also described how the captain was alarmed when weather conditions changed so that refraction no longer showed them distant, small boats around the curvature of Earth. After the war, George Bowen returned to undergraduate and eventually graduate study at Caltech, where he was recruited to the biophysics research group headed by future Nobel Laureate Max Delbrück. George often described his joy in working with these first-rate scientists and finding himself accepted as a part of the effort. He finished his BS with honors in 1949 and his PhD in 1953 with a thesis on "Kinetic Studies on the Mechanism of Photoreactivation of Bacteriophase T2 Inactivated by Ultraviolet Light" involving work with E Coli. This work was supported by grants from the U
Obituary: George Hamilton Bowen Jr. (1925-2009)
NASA Astrophysics Data System (ADS)
Willson, Lee Anne; Struck, Curtis
2011-12-01
Our colleague and collaborator George Hamilton Bowen, Jr., passed away November 1, 2009 in Ames, Iowa. George was born June 20, 1925 in Tulsa, Oklahoma to George and Dorothy (Huntington) Bowen. He married Marjorie Brown June 19, 1948 in Redondo Beach, California; they had five children, with eight grandchildren and five great-grandchildren at the time of his death. George H. Bowen's third or perhaps his fourth career was in astronomy. He was drafted into the navy in 1944, at the end of his first year as a student at Caltech, and ended his war-time service as an electronic technician on the aircraft carrier Shangri-La. He later said "In just nine months, starting from scratch (Ohm's law!), we learned an amazing amount - not by memorization, of course, but by study and real understanding of the basic function of the most advanced AC circuits then being used for instrumentation, measurements, communications, control systems, and much more." He gained a confidence that he could quickly and accurately diagnose and solve technical problems that stood him well in future work. One accomplishment he took particular pride in was figuring out how the radar control used cams and gears to solve the trigonometry for accurate pointing. He also described how the captain was alarmed when weather conditions changed so that refraction no longer showed them distant, small boats around the curvature of Earth. After the war, George Bowen returned to undergraduate and eventually graduate study at Caltech, where he was recruited to the biophysics research group headed by future Nobel Laureate Max Delbrück. George often described his joy in working with these first-rate scientists and finding himself accepted as a part of the effort. He finished his BS with honors in 1949 and his PhD in 1953 with a thesis on "Kinetic Studies on the Mechanism of Photoreactivation of Bacteriophase T2 Inactivated by Ultraviolet Light" involving work with E Coli. This work was supported by grants from the U
A Survey of Environmental Education in Hamilton County Schools (K-12).
ERIC Educational Resources Information Center
Garver, Janice B.
Environmental education (EE) courses and programs offered in grades K-12 in Hamilton County (Ohio) public, private, and parochial schools were surveyed by means of a questionnaire mailed to 67 district level administrators, principals, and teachers. Questionnaires were returned from 5 private, 4 parochial, and 27 public schools, representing a 57…
Zung, Beck, and Hamilton Rating Scales as Measures of Treatment Outcome: A Meta-Analytic Comparison.
ERIC Educational Resources Information Center
Lambert, Michael J.; And Others
1986-01-01
Treatment studies using the Zung Self-Rating Scale, the Beck Depression Inventory, and the Hamilton Rating Scale for Depression as dependent measures were reviewed to determine whether these scales provide comparable data for assessing treatment effects. Results indicated that the Zung and the Beck showed less change in depression following…
Measuring Depression at the End of Life: Is the Hamilton Depression Rating Scale a Valid Instrument?
ERIC Educational Resources Information Center
Olden, Megan; Rosenfeld, Barry; Pessin, Hayley; Breitbart, William
2009-01-01
Depression at the end of life is a common mental health issue with serious implications for quality of life and decision making. This study investigated the reliability and validity of one of the most frequently used measures of depression, the Hamilton Depression Rating Scale (HAM-D) in 422 patients with terminal cancer admitted to a palliative…
ERIC Educational Resources Information Center
And Others; Gilmartin, Harvey
1979-01-01
Presented is a form of Hamilton's principle for classical mechanics appropriate to the study of arbitrary self-sustained vibrations in one dimension. It is applied as an approximate computational tool to the study of several examples of anharmonic oscillation. (Author/GA)
Infant Care in Hamilton County: 4C Final Report and Model Designs.
ERIC Educational Resources Information Center
Coats, Betty Ann Hanna
This report describes a one-year feasibility study to design a functional child development model for infant day care in Hamilton County, Ohio. Mothers of babies under 18 months were interviewed by telephone to determine use of and interest in infant day care. Assessment was made of existing resources for full time day care in the county…
Mobile Air Monitoring: Measuring Change in Air Quality in the City of Hamilton, 2005-2010
ERIC Educational Resources Information Center
Adams, Matthew D.; DeLuca, Patrick F.; Corr, Denis; Kanaroglou, Pavlos S.
2012-01-01
This paper examines the change in air pollutant concentrations between 2005 and 2010 occurring in the City of Hamilton, Ontario, Canada. After analysis of stationary air pollutant concentration data, we analyze mobile air pollutant concentration data. Air pollutants included in the analysis are CO, PM[subscript 2.5], SO[subscript 2], NO,…
Perceptions of Quality Life in Hamilton's Neighbourhood Hubs: A Qualitative Analysis
ERIC Educational Resources Information Center
Eby, Jeanette; Kitchen, Peter; Williams, Allison
2012-01-01
This paper examines perceptions of quality of life in Hamilton, Ontario, Canada from the perspective of residents and key community stakeholders. A series of eight focus groups were conducted. Six sessions were held with residents of neighbourhood "hubs", areas characterized by high levels of poverty. The following themes were highlighted as…
76 FR 25534 - Airworthiness Directives; Hamilton Sundstrand Propellers Model 247F Propellers
Federal Register 2010, 2011, 2012, 2013, 2014
2011-05-05
...@faa.gov . SUPPLEMENTARY INFORMATION: Airworthiness Directive 2011-04-02, amendment 39-16602 (76 FR..., FR2183, FR2187, FR2262, FR2276 through FR2279 inclusive, FR 2398, FR2449 to FR2958 inclusive, FR20010710...-25-AD; Amendment 39-16602; AD 2011-04-02] RIN 2120-AA64 Airworthiness Directives; Hamilton...
Light Rail Transit in Hamilton: Health, Environmental and Economic Impact Analysis
ERIC Educational Resources Information Center
Topalovic, P.; Carter, J.; Topalovic, M.; Krantzberg, G.
2012-01-01
Hamilton's historical roots as an electric, industrial and transportation-oriented city provide it with a high potential for rapid transit, especially when combined with its growing population, developing economy, redeveloping downtown core and its plans for sustainable growth. This paper explores the health, environmental, social and economic…
75 FR 20794 - Proposed Amendment of Class E Airspace; Hamilton, TX
Federal Register 2010, 2011, 2012, 2013, 2014
2010-04-21
...; (2) is not a ``significant rule'' under DOT Regulatory Policies and Procedures (44 FR 11034; February.... 106(g); 40103, 40113, 40120; E.O. 10854, 24 FR 9565, 3 CFR, 1959-1963 Comp., p. 389. Sec. 71.1 2. The... Federal Aviation Administration 14 CFR Part 71 Proposed Amendment of Class E Airspace; Hamilton, TX...
ERIC Educational Resources Information Center
Journet, Debra
2005-01-01
This article analyzes the power of ambiguous metaphors to present scientific novelty. Its focus is a series of papers by the prominent population biologist W. D. Hamilton in which he redefined the meaning of biological altruism. In particular, the article draws on Kenneth Burke's dramatistic pentad to examine why suggestions of motive are so…
The Code Red Project: Engaging Communities in Health System Change in Hamilton, Canada
ERIC Educational Resources Information Center
DeLuca, Patrick F.; Buist, Steve; Johnston, Neil
2012-01-01
The communication of determinants of health and health outcomes normally executed through academic channels often fail to reach lay audiences. In April of 2010, the results of collaboration between academe and mass media were published in the Hamilton Spectator, one of Canada's 10 largest English-language daily newspapers as a 7-day series. The…
Fort Hamilton High School Project GRASP. ESEA Title VII. Final Evaluation Report, 1979-1980.
ERIC Educational Resources Information Center
Irizarry, Ruddie A.; And Others
This report is an evaluation of a Title VII Bilingual Program conducted at the Fort Hamilton High School in Brooklyn, New York, in 1979-1980. This bilingual program provided instruction for Greek, Spanish, and Arabic speaking students. The ethnic and economic composition of the neighborhood and of the school population are discussed, and the…
Air Quality in Hamilton: Who Is Concerned? Perceptions from Three Neighbourhoods
ERIC Educational Resources Information Center
Simone, Dylan; Eyles, John; Newbold, K. Bruce; Kitchen, Peter; Williams, Allison
2012-01-01
This study investigates the factors influencing perceptions of air quality in the industrial city of Hamilton, Canada. The research employs data collected via a telephone survey of 1,002 adult residents in three neighbourhoods. Perceptions in the neighbourhoods were examined by individual socio-demographic factors (age, gender, marital and…
Octavia Butler and Virginia Hamilton: Black Women Writers and Science Fiction.
ERIC Educational Resources Information Center
Hampton, Gregory Jerome; Brooks, Wanda M.
2003-01-01
Notes that African American literature has always had science fiction elements in its focus on narratives of the alienated and marginalized "other." Contends that Octavia Butler and Virginia Hamilton are two African American writers of science fiction who examine the connections between the stories of a culture and the genre of science fiction.…
Swenson, Sarah A
2015-02-01
W.D. Hamilton's theory of inclusive fitness aimed to define the evolved limits of altruism with mathematical precision. Although it was meant to apply universally, it has been almost irretrievably entwined with the particular case of social insects that featured in his famous 1964 papers. The assumption that social insects were central to Hamilton's early work contradicts material in his rich personal archive. In fact, careful study of Hamilton's notes, letters, diaries, and early essays indicates the extent to which he had humans in mind when he decided altruism was a topic worthy of biological inquiry. For this reason, this article reconsiders the role of extra-scientific factors in Hamilton's early theorizing. In doing so, it offers an alternative perspective as to why Hamilton saw self-sacrifice to be an important subject. Although the traditional narrative prioritizes his distaste for benefit-of-the-species explanations as a motivating factor behind his foundational work, I argue that greater attention ought to be given to Hamilton's hope that science could be used to address social ills. By reconsidering the meaning Hamilton intended inclusive fitness to have, we see that while he was no political ideologue, the socio-political relevance of his theory was nevertheless integral to its development. PMID:25594921
Okasha, S; Martens, J
2016-03-01
Hamilton's original work on inclusive fitness theory assumed additivity of costs and benefits. Recently, it has been argued that an exact version of Hamilton's rule for the spread of a pro-social allele (rb > c) holds under nonadditive pay-offs, so long as the cost and benefit terms are defined as partial regression coefficients rather than pay-off parameters. This article examines whether one of the key components of Hamilton's original theory can be preserved when the rule is generalized to the nonadditive case in this way, namely that evolved organisms will behave as if trying to maximize their inclusive fitness in social encounters. PMID:26679493
Isolation and characterization of fish scale collagen of higher thermal stability.
Pati, Falguni; Adhikari, Basudam; Dhara, Santanu
2010-05-01
Collagen is the most abundant protein found in animal body and widely used for biomedical and pharmaceutical applications. However, its applicability is severely limited due to high cost. Fish processing waste, which otherwise cause serious environmental pollution, is a promising cost effective collagen source. In the present study, collagen was isolated from scales of Labeo rohita (Rohu) and Catla catla (Catla). It is first time that these species are used as sources of collagen. Thermo-gravimetric analysis (TGA) revealed maximum demineralization achieved after 48h of EDTA treatment of intact scale. The isolated protein was confirmed as collagen by different physico-chemical techniques like FTIR, SDS-PAGE, and CD. Further amino acid analysis corroborates isolation of type I collagen. A major characteristic of obtained collagen was found to have denaturation temperature (T(d)) of 36.5 degrees C, which is promising as an advantage for biomedical application due to closeness in T(d) to mammalian collagen. PMID:20116238
Kaur, Harpreet; Katoch, Anu
2016-02-25
Native carp species cultured in Indian farms in Punjab (catla Catla catla, rohu Labeo rohita, mrigal Cirrhinus mrigala, exotic carps such as silver carp Hypophthalmichthys molitrix, grass carp Ctenopharyngodon idella, common carp Cyprinus carpio and a catfish Sperata seenghala) were examined for the presence of myxozoan parasites infecting gills. Firstly, the gills were examined under a zoom-stereomicroscope for the presence of plasmodia. The number of plasmodia per gill was counted to determine the index for the intensity of infection. Infected tissues were processed for histology, and 3-4 µm sections of infected gills were stained with haematoxylin & eosin and Luna's method. A total of 19 species of myxosporean were found infecting various cell types in the gills. Of these, 14 species belonged to the genus Myxobolus, 3 species to the genus Thelohanellus and 2 species to the genus Henneguya. Species belonging to the genus Myxobolus formed the interlamellar and intralamellar vascular (LV) type plasmodia, and species belonging to the genus Thelohanellus and Henneguya formed intrafilamental vascular (FV) type plasmodia. Mixed infections comprising 2, 3 or 4 different myxozoan species were noted in individual fish. The most common type of parasitism was polyparasitism due to 4 myxobolids co-occuring in fish with an infection rate of 23.16%. All species caused mild to severe haemorrhagic gill disease with little clinical symptomatology. PMID:26912043
Morselli, Davide; Passini, Stefano
2015-11-01
In Crimes of obedience, Kelman and Hamilton argue that societies can be protected by the degeneration of authority only when citizenship is based on a strong values orientation. This reference to values may be the weakest point in their theory because they do not explicitly define these values. Nevertheless, their empirical findings suggest that the authors are referring to specific democratic principles and universal values (e.g., equality, fairness, harmlessness). In this article, a composite index known as the value-oriented citizenship (VOC) index is introduced and empirically analysed. The results confirm that the VOC index discriminates between people who relate to authority based on values rather than based on their role or on rules in general. The article discusses the utility of the VOC index to develop Kelman and Hamilton's framework further empirically as well as its implications for the analysis of the relationship between individuals and authority. PMID:26463549
Crystal orbital Hamilton population (COHP) analysis as projected from plane-wave basis sets.
Deringer, Volker L; Tchougréeff, Andrei L; Dronskowski, Richard
2011-06-01
Simple, yet predictive bonding models are essential achievements of chemistry. In the solid state, in particular, they often appear in the form of visual bonding indicators. Because the latter require the crystal orbitals to be constructed from local basis sets, the application of the most popular density-functional theory codes (namely, those based on plane waves and pseudopotentials) appears as being ill-fitted to retrieve the chemical bonding information. In this paper, we describe a way to re-extract Hamilton-weighted populations from plane-wave electronic-structure calculations to develop a tool analogous to the familiar crystal orbital Hamilton population (COHP) method. We derive the new technique, dubbed "projected COHP" (pCOHP), and demonstrate its viability using examples of covalent, ionic, and metallic crystals (diamond, GaAs, CsCl, and Na). For the first time, this chemical bonding information is directly extracted from the results of plane-wave calculations. PMID:21548594
Barriers to Walking: An Investigation of Adults in Hamilton (Ontario, Canada)
Clark, Andrew F.; Scott, Darren M.
2016-01-01
This study investigates perceived barriers to walking using data collected from 179 randomly-selected adults between the ages of 18 and 92 in Hamilton, Ontario, Canada. A survey (Hamilton Active Living Study) asked questions about socio-demographics, walking, and barriers to walking. A series of binary logit models are estimated for twenty potential barriers to walking. The results demonstrate that different barriers are associated with different sub-groups of the population. Females, senior citizens, and those with a higher body mass index identify the most barriers to walking, while young adults, parents, driver’s license owners, and bus pass owners identify the fewest barriers. Understanding who is affected by perceived barriers can help policy makers and health promotion agencies target sub-groups of the population in an effort to increase walking. PMID:26840328
[Alice Hamilton (1869-1970): a pioneer of occupational medicine and public health].
Kowalska, M; Steplewski, Z
1999-01-01
Dr. Alice Hamilton (1869-1970) was the mother of occupational health a pioneer in public health in the United States. She worked as a doctor in Hull House, the first settlement house, and she was an advocate of the birth-control movement. She led pioneering studies of occupational head, mercury, carbon monoxide poisoning and many other chemical intoxications of workers. She was an assistant professor of industrial medicine at the Harvard Medical School (1919-1935). During the years 1924-1930 she worked for the Health Organization of the League of Nations. From 1943 she acted as a vice-president of the American Health Association. Alice Hamilton was an expert in the field of occupational lead poisoning. PMID:10438256
Association of Celiac Disease With Idiopathic Pulmonary Hemosiderosis; Lane Hamilton Syndrome
Nacaroglu, Hikmet Tekin; Sandal, Ozlem Sarac; Bag, Ozlem; Erdem, Semiha Bahceci; Bekem Soylu, Ozlem; Diniz, Gulden; Ozturk, Aysel; Can, Demet
2015-01-01
Introduction: Idiopathic Pulmonary Hemosiderosis (IPH) is a rare cause of alveolar hemorrhage, which is seen primarily in childhood. Celiac disease is defined as a chronic, immune-mediated enteropathy of the small intestine, caused by exposure to dietary gluten in genetically pre-disposed individuals. Association of IPH and celiac disease is known as Lane Hamilton syndrome. There are limited number of case reports of this syndrome in literature. Case Presentation: Although there were no growth and developmental delay and gastrointestinal symptoms like chronic diarrhea, chronic constipation, vomiting, abdominal bloating and pain in the two patients with IPH, they were diagnosed with Lane Hamilton Syndrome. After initiation of gluten-free diet, their IPH symptoms disappeared and hemoglobin levels were observed to return to normal. Conclusions: Even if there were no gastrointestinal symptoms in a patient with IPH, celiac disease should be investigated. These patients may benefit from gluten free diet and IPH symptoms may disappear. PMID:26495097
From constants of motion to superposition rules for Lie-Hamilton systems
NASA Astrophysics Data System (ADS)
Ballesteros, A.; Cariñena, J. F.; Herranz, F. J.; de Lucas, J.; Sardón, C.
2013-07-01
A Lie system is a non-autonomous system of first-order differential equations possessing a superposition rule, i.e. a map expressing its general solution in terms of a generic finite family of particular solutions and some constants. Lie-Hamilton systems form a subclass of Lie systems whose dynamics is governed by a curve in a finite-dimensional real Lie algebra of functions on a Poisson manifold. It is shown that Lie-Hamilton systems are naturally endowed with a Poisson coalgebra structure. This allows us to devise methods for deriving in an algebraic way their constants of motion and superposition rules. We illustrate our methods by studying Kummer-Schwarz equations, Riccati equations, Ermakov systems and Smorodinsky-Winternitz systems with time-dependent frequency.
Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
NASA Technical Reports Server (NTRS)
Osher, Stanley; Sethian, James A.
1987-01-01
New numerical algorithms are devised (PSC algorithms) for following fronts propagating with curvature-dependent speed. The speed may be an arbitrary function of curvature, and the front can also be passively advected by an underlying flow. These algorithms approximate the equations of motion, which resemble Hamilton-Jacobi equations with parabolic right-hand-sides, by using techniques from the hyperbolic conservation laws. Non-oscillatory schemes of various orders of accuracy are used to solve the equations, providing methods that accurately capture the formation of sharp gradients and cusps in the moving fronts. The algorithms handle topological merging and breaking naturally, work in any number of space dimensions, and do not require that the moving surface be written as a function. The methods can be used also for more general Hamilton-Jacobi-type problems. The algorithms are demonstrated by computing the solution to a variety of surface motion problems.
Topologically massive Yang-Mills: A Hamilton-Jacobi constraint analysis
Bertin, M. C.; Pimentel, B. M.; Valcárcel, C. E.; Zambrano, G. E. R.
2014-04-15
We analyse the constraint structure of the topologically massive Yang-Mills theory in instant-form and null-plane dynamics via the Hamilton-Jacobi formalism. The complete set of hamiltonians that generates the dynamics of the system is obtained from the Frobenius’ integrability conditions, as well as its characteristic equations. As generators of canonical transformations, the hamiltonians are naturally linked to the generator of Lagrangian gauge transformations.
A Discontinuous Galerkin Finite Element Method for Hamilton-Jacobi Equations
NASA Technical Reports Server (NTRS)
Hu, Changqing; Shu, Chi-Wang
1998-01-01
In this paper, we present a discontinuous Galerkin finite element method for solving the nonlinear Hamilton-Jacobi equations. This method is based on the Runge-Kutta discontinuous Galerkin finite element method for solving conservation laws. The method has the flexibility of treating complicated geometry by using arbitrary triangulation, can achieve high order accuracy with a local, compact stencil, and are suited for efficient parallel implementation. One and two dimensional numerical examples are given to illustrate the capability of the method.
The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations
NASA Technical Reports Server (NTRS)
Osher, Stanley
1989-01-01
Simple inequalities for the Riemann problem for a Hamilton-Jacobi equation in N space dimension when neither the initial data nor the Hamiltonian need be convex (or concave) are presented. The initial data is globally continuous, affine in each orthant, with a possible jump in normal derivative across each coordinate plane, x sub i = 0. The inequalities become equalities wherever a maxmin equals a minmax and thus an exact closed form solution to this problem is then obtained.
Compressed Semi-Discrete Central-Upwind Schemes for Hamilton-Jacobi Equations
NASA Technical Reports Server (NTRS)
Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana
2003-01-01
We introduce a new family of Godunov-type semi-discrete central schemes for multidimensional Hamilton-Jacobi equations. These schemes are a less dissipative generalization of the central-upwind schemes that have been recently proposed in series of works. We provide the details of the new family of methods in one, two, and three space dimensions, and then verify their expected low-dissipative property in a variety of examples.
High-Order Central WENO Schemes for 1D Hamilton-Jacobi Equations
NASA Technical Reports Server (NTRS)
Bryson, Steve; Levy, Doron; Biegel, Bryan A. (Technical Monitor)
2002-01-01
In this paper we derive fully-discrete Central WENO (CWENO) schemes for approximating solutions of one dimensional Hamilton-Jacobi (HJ) equations, which combine our previous works. We introduce third and fifth-order accurate schemes, which are the first central schemes for the HJ equations of order higher than two. The core ingredient is the derivation of our schemes is a high-order CWENO reconstructions in space.
Hamilton-Jacobi Ansatz to Study the Hawking Radiation of Kerr-Newman Black Holes
NASA Astrophysics Data System (ADS)
Chen, Deyou; Yang, Shuzheng
Taking the self-gravitation interaction and unfixed background space-time into account, we study the Hawking radiation of Kerr-Newman-Kasuya black holes using Hamilton-Jacobi method. The result shows that the tunneling rate is related to the change of Bekenstein-Hawking entropy and the radiation spectrum deviates from the purely thermal one, which is accordant with that obtained using Parikh and Wilczek's method and gives a correction to the Hawking radiation of the black hole.
NASA Astrophysics Data System (ADS)
Long, Zi-Xuan; Zhang, Yi
2014-11-01
This paper focuses on the Noether symmetries and the conserved quantities for both holonomic and nonholonomic systems based on a new non-conservative dynamical model introduced by El-Nabulsi. First, the El-Nabulsi dynamical model which is based on a fractional integral extended by periodic laws is introduced, and El-Nabulsi—Hamilton's canonical equations for non-conservative Hamilton system with holonomic or nonholonomic constraints are established. Second, the definitions and criteria of El-Nabulsi—Noether symmetrical transformations and quasi-symmetrical transformations are presented in terms of the invariance of El-Nabulsi—Hamilton action under the infinitesimal transformations of the group. Finally, Noether's theorems for the non-conservative Hamilton system under the El-Nabulsi dynamical system are established, which reveal the relationship between the Noether symmetry and the conserved quantity of the system.
Separability of Hamilton-Jacobi and Klein-Gordon equations in general Kerr-NUT-AdS spacetimes
NASA Astrophysics Data System (ADS)
Frolov, Valeri P.; Krtous, Pavel; Kubiznák, David
2007-02-01
We demonstrate the separability of the Hamilton-Jacobi and scalar field equations in general higher dimensional Kerr-NUT-AdS spacetimes. No restriction on the parameters characterizing these metrics is imposed.
NASA Technical Reports Server (NTRS)
Schmid, L. A.
1977-01-01
The first and second variations are calculated for the irreducible form of Hamilton's Principle that involves the minimum number of dependent variables necessary to describe the kinetmatics and thermodynamics of inviscid, compressible, baroclinic flow in a specified gravitational field. The form of the second variation shows that, in the neighborhood of a stationary point that corresponds to physically stable flow, the action integral is a complex saddle surface in parameter space. There exists a form of Hamilton's Principle for which a direct solution of a flow problem is possible. This second form is related to the first by a Friedrichs transformation of the thermodynamic variables. This introduces an extra dependent variable, but the first and second variations are shown to have direct physical significance, namely they are equal to the free energy of fluctuations about the equilibrium flow that satisfies the equations of motion. If this equilibrium flow is physically stable, and if a very weak second order integral constraint on the correlation between the fluctuations of otherwise independent variables is satisfied, then the second variation of the action integral for this free energy form of Hamilton's Principle is positive-definite, so the action integral is a minimum, and can serve as the basis for a direct trail and error solution. The second order integral constraint states that the unavailable energy must be maximum at equilibrium, i.e. the fluctuations must be so correlated as to produce a second order decrease in the total unavailable energy.
Chou, Chia-Chun
2014-03-14
The complex quantum Hamilton-Jacobi equation-Bohmian trajectories (CQHJE-BT) method is introduced as a synthetic trajectory method for integrating the complex quantum Hamilton-Jacobi equation for the complex action function by propagating an ensemble of real-valued correlated Bohmian trajectories. Substituting the wave function expressed in exponential form in terms of the complex action into the time-dependent Schrödinger equation yields the complex quantum Hamilton-Jacobi equation. We transform this equation into the arbitrary Lagrangian-Eulerian version with the grid velocity matching the flow velocity of the probability fluid. The resulting equation describing the rate of change in the complex action transported along Bohmian trajectories is simultaneously integrated with the guidance equation for Bohmian trajectories, and the time-dependent wave function is readily synthesized. The spatial derivatives of the complex action required for the integration scheme are obtained by solving one moving least squares matrix equation. In addition, the method is applied to the photodissociation of NOCl. The photodissociation dynamics of NOCl can be accurately described by propagating a small ensemble of trajectories. This study demonstrates that the CQHJE-BT method combines the considerable advantages of both the real and the complex quantum trajectory methods previously developed for wave packet dynamics.
Krantzberg, G. )
1994-10-01
Trace metals in sediment from nearshore urban and industrialized centers of the Great Lakes are frequently at concentrations well above geological background values. Total metal content in sediment, however, is a weak predictor of sediment toxicity. This study examined the bioavailability of metals from Hamilton Harbor in Lake Ontario and considered variability in metal forms on a temporal basis. Sediment from regions within Hamilton Harbor is highly contaminated with metals; nevertheless, not all metal-contaminated sites were toxic to test organisms. Most sediment did elicit sublethal and/or lethal responses in bioassay organisms. Metal bioavailability, as measured by weak acid extractions, metal bioaccumulation by fathead minnows, and sediment toxicity, was greater in sediment collected in the fall as compared to sediment collected in the spring. Results of analyses of tissue residues in test organisms and the reduced toxicity observed in sediment collected from some stations in the spring as compared to the fall implicate trace metals and sediment oxygen demand as contributing to sediment toxicity. The suitability for colonization by benthic invertebrates of sediment in some areas of Hamilton Harbor appears to be limited by both contaminants and high sediment oxygen demand. Improving the oxygen regime of the harbor should result in improvements in the benthic invertebrate community directly, by providing a suitable oxygen regime for organisms less tolerant of temporal anoxia, and indirectly by decreasing metal bioavailability, possibly through the co-precipitation of trace metals with iron and manganese hydroxides.
Lie-Hamilton systems on the plane: Properties, classification and applications
NASA Astrophysics Data System (ADS)
Ballesteros, A.; Blasco, A.; Herranz, F. J.; de Lucas, J.; Sardón, C.
2015-04-01
We study Lie-Hamilton systems on the plane, i.e. systems of first-order differential equations describing the integral curves of a t-dependent vector field taking values in a finite-dimensional real Lie algebra of planar Hamiltonian vector fields with respect to a Poisson structure. We start with the local classification of finite-dimensional real Lie algebras of vector fields on the plane obtained in González-López, Kamran, and Olver (1992) [23] and we interpret their results as a local classification of Lie systems. By determining which of these real Lie algebras consist of Hamiltonian vector fields relative to a Poisson structure, we provide the complete local classification of Lie-Hamilton systems on the plane. We present and study through our results new Lie-Hamilton systems of interest which are used to investigate relevant non-autonomous differential equations, e.g. we get explicit local diffeomorphisms between such systems. We also analyse biomathematical models, the Milne-Pinney equations, second-order Kummer-Schwarz equations, complex Riccati equations and Buchdahl equations.
Chou, Chia-Chun
2014-03-14
The complex quantum Hamilton-Jacobi equation-Bohmian trajectories (CQHJE-BT) method is introduced as a synthetic trajectory method for integrating the complex quantum Hamilton-Jacobi equation for the complex action function by propagating an ensemble of real-valued correlated Bohmian trajectories. Substituting the wave function expressed in exponential form in terms of the complex action into the time-dependent Schrödinger equation yields the complex quantum Hamilton-Jacobi equation. We transform this equation into the arbitrary Lagrangian-Eulerian version with the grid velocity matching the flow velocity of the probability fluid. The resulting equation describing the rate of change in the complex action transported along Bohmian trajectories is simultaneously integrated with the guidance equation for Bohmian trajectories, and the time-dependent wave function is readily synthesized. The spatial derivatives of the complex action required for the integration scheme are obtained by solving one moving least squares matrix equation. In addition, the method is applied to the photodissociation of NOCl. The photodissociation dynamics of NOCl can be accurately described by propagating a small ensemble of trajectories. This study demonstrates that the CQHJE-BT method combines the considerable advantages of both the real and the complex quantum trajectory methods previously developed for wave packet dynamics. PMID:24628169
Hamilton-Jacobi approach to photon wave mechanics: near-field aspects.
Keller, O
2008-02-01
After having briefly reviewed the Hamilton-Jacobi theory of classical point-particle mechanics, its extension to the quantum regime and the formal identity between the Hamilton-Jacobi equation for Hamilton's characteristic function and the eikonal equation of geometrical optics, an eikonal theory for free photons is established. The space-time dynamics of the photon is described on the basis of the six-component Riemann-Silberstein energy wave function. Form-identical eikonal equations are obtained for the positive and negative helicity dynamics. Microscopic response theory is used to describe the linear photon-matter interaction. In the presence of matter the free-photon concept is replaced by a quasi-photon concept, and there is a quasi-photon for each of the two helicity states. After having established integro-differential equations for the wave functions of the two quasi-photons, the eikonal conditions for the quasi-photons are determined. It appears that the eikonal condition contains complicated space integrals of the gradient of the eikonal over volumes of near-field domain size. In these space integrals the dynamics of the electrons (matter particles) appears via transverse transition current densities between pairs of many-body states. Generalized microscopic polarization and magnetization fields are introduced to establish the connection between the quasi-photon and macroscopic eikonal theories. PMID:18304094
The method of Ritz applied to the equation of Hamilton. [for pendulum systems
NASA Technical Reports Server (NTRS)
Bailey, C. D.
1976-01-01
Without any reference to the theory of differential equations, the initial value problem of the nonlinear, nonconservative double pendulum system is solved by the application of the method of Ritz to the equation of Hamilton. Also shown is an example of the reduction of the traditional eigenvalue problem of linear, homogeneous, differential equations of motion to the solution of a set of nonhomogeneous algebraic equations. No theory of differential equations is used. Solution of the time-space path of the linear oscillator is demonstrated and compared to the exact solution.
Fast methods for the Eikonal and related Hamilton- Jacobi equations on unstructured meshes.
Sethian, J A; Vladimirsky, A
2000-05-23
The Fast Marching Method is a numerical algorithm for solving the Eikonal equation on a rectangular orthogonal mesh in O(M log M) steps, where M is the total number of grid points. The scheme relies on an upwind finite difference approximation to the gradient and a resulting causality relationship that lends itself to a Dijkstra-like programming approach. In this paper, we discuss several extensions to this technique, including higher order versions on unstructured meshes in Rn and on manifolds and connections to more general static Hamilton-Jacobi equations. PMID:10811874
Numerical Schemes for the Hamilton-Jacobi and Level Set Equations on Triangulated Domains
NASA Technical Reports Server (NTRS)
Barth, Timothy J.; Sethian, James A.
2006-01-01
Borrowing from techniques developed for conservation law equations, we have developed both monotone and higher order accurate numerical schemes which discretize the Hamilton-Jacobi and level set equations on triangulated domains. The use of unstructured meshes containing triangles (2D) and tetrahedra (3D) easily accommodates mesh adaptation to resolve disparate level set feature scales with a minimal number of solution unknowns. The minisymposium talk will discuss these algorithmic developments and present sample calculations using our adaptive triangulation algorithm applied to various moving interface problems such as etching, deposition, and curvature flow.
NASA Astrophysics Data System (ADS)
Zatloukal, Václav
2016-04-01
Classical field theory is considered as a theory of unparametrized surfaces embedded in a configuration space, which accommodates, in a symmetric way, spacetime positions and field values. Dynamics is defined by a (Hamiltonian) constraint between multivector-valued generalized momenta, and points in the configuration space. Starting from a variational principle, we derive local equations of motion, that is, differential equations that determine classical surfaces and momenta. A local Hamilton-Jacobi equation applicable in the field theory then follows readily. The general method is illustrated with three examples: non-relativistic Hamiltonian mechanics, De Donder-Weyl scalar field theory, and string theory.
The nonconvex multi-dimensional Riemann problem for Hamilton-Jacobi equations
NASA Technical Reports Server (NTRS)
Bardi, Martino; Osher, Stanley
1991-01-01
Simple inequalities are presented for the viscosity solution of a Hamilton-Jacobi equation in N space dimensions when neither the initial data nor the Hamiltonian need be convex (or concave). The initial data are uniformly Lipschitz and can be written as the sum of a convex function in a group of variables and a concave function in the remaining variables, therefore including the nonconvex Riemann problem. The inequalities become equalities wherever a 'maxmin' equals a 'minmax', and thus a representation formula for this problem is obtained, generalizing the classical Hopi formulas.
Hamilton-Jacobi-Bellman equations and approximate dynamic programming on time scales.
Seiffertt, John; Sanyal, Suman; Wunsch, Donald C
2008-08-01
The time scales calculus is a key emerging area of mathematics due to its potential use in a wide variety of multidisciplinary applications. We extend this calculus to approximate dynamic programming (ADP). The core backward induction algorithm of dynamic programming is extended from its traditional discrete case to all isolated time scales. Hamilton-Jacobi-Bellman equations, the solution of which is the fundamental problem in the field of dynamic programming, are motivated and proven on time scales. By drawing together the calculus of time scales and the applied area of stochastic control via ADP, we have connected two major fields of research. PMID:18632378
Scalar particles emission from black holes with topological defects using Hamilton-Jacobi method
NASA Astrophysics Data System (ADS)
Jusufi, Kimet
2015-11-01
We study quantum tunneling of charged and uncharged scalar particles from the event horizon of Schwarzschild-de Sitter and Reissner-Nordström-de Sitter black holes pierced by an infinitely long spinning cosmic string and a global monopole. In order to find the Hawking temperature and the tunneling probability we solve the Klein-Gordon equation by using the Hamilton-Jacobi method and WKB approximation. We show that Hawking temperature is independent of the presence of topological defects in both cases.
On the regularizing effect for unbounded solutions of first-order Hamilton-Jacobi equations
NASA Astrophysics Data System (ADS)
Barles, Guy; Chasseigne, Emmanuel
2016-05-01
We give a simplified proof of regularizing effects for first-order Hamilton-Jacobi Equations of the form ut + H (x , t , Du) = 0 in RN × (0 , + ∞) in the case where the idea is to first estimate ut. As a consequence, we have a Lipschitz regularity in space and time for coercive Hamiltonians and, for hypo-elliptic Hamiltonians, we also have an Hölder regularizing effect in space following a result of L.C. Evans and M.R. James.
Coordinates Used in Derivation of Hawking Radiation via Hamilton-Jacobi Method
NASA Astrophysics Data System (ADS)
Liu, Bo; He, Xiaokai; Liu, Wenbiao
2009-05-01
Coordinates used in derivation of Hawking radiation via Hamilton-Jacobi method are investigated more deeply. In the case of a 4-dimensional Schwarzschild black hole, a direct computation leads to a wrong result. In the meantime, making use of the isotropic coordinate or invariant radial distance, we can get the correct conclusion. More coordinates including Painleve and Eddington-Finkelstein are tried to calculate the semi-classical Hawking emission rate. The reason of the discrepancy between naive coordinate and well-behaved coordinates is also discussed.
NASA Astrophysics Data System (ADS)
Dey, Bijoy K.; Janicki, Marek R.; Ayers, Paul W.
2004-10-01
Classical dynamics can be described with Newton's equation of motion or, totally equivalently, using the Hamilton-Jacobi equation. Here, the possibility of using the Hamilton-Jacobi equation to describe chemical reaction dynamics is explored. This requires an efficient computational approach for constructing the physically and chemically relevant solutions to the Hamilton-Jacobi equation; here we solve Hamilton-Jacobi equations on a Cartesian grid using Sethian's fast marching method [J. A. Sethian, Proc. Natl. Acad. Sci. USA 93, 1591 (1996)]. Using this method, we can—starting from an arbitrary initial conformation—find reaction paths that minimize the action or the time. The method is demonstrated by computing the mechanism for two different systems: a model system with four different stationary configurations and the H+H2→H2+H reaction. Least-time paths (termed brachistochrones in classical mechanics) seem to be a suitable chioce for the reaction coordinate, allowing one to determine the key intermediates and final product of a chemical reaction. For conservative systems the Hamilton-Jacobi equation does not depend on the time, so this approach may be useful for simulating systems where important motions occur on a variety of different time scales.
A practical approach to the Hamilton-Jacobi formulation of holographic renormalization
NASA Astrophysics Data System (ADS)
Elvang, Henriette; Hadjiantonis, Marios
2016-06-01
We revisit the subject of holographic renormalization for asymptotically AdS spacetimes. For many applications of holography, one has to handle the divergences associated with the on-shell gravitational action. The brute force approach uses the Fefferman- Graham (FG) expansion near the AdS boundary to identify the divergences, but subsequent reversal of the expansion is needed to construct the infinite counterterms. While in principle straightforward, the method is cumbersome and application/reversal of FG is formally unsatisfactory. Various authors have proposed an alternative method based on the Hamilton-Jacobi equation. However, this approach may appear to be abstract, difficult to implement, and in some cases limited in applicability. In this paper, we clarify the Hamilton-Jacobi formulation of holographic renormalization and present a simple algorithm for its implementation to extract cleanly the infinite counterterms. While the derivation of the method relies on the Hamiltonian formulation of general relativity, the actual application of our algorithm does not. The work applies to any D-dimensional holographic dual with asymptotic AdS boundary, Euclidean or Lorentzian, and arbitrary slicing. We illustrate the method in several examples, including the FGPW model, a holographic model of 3d ABJM theory, and cases with marginal scalars such as a dilaton-axion system.
Hamilton-Jacobi-Bellman framework for optimal control in multistage energy systems
NASA Astrophysics Data System (ADS)
Sieniutycz, Stanislaw
2000-03-01
We enunciate parallelism for structures of variational principles in mechanics and thermodynamics in terms of the duality for thermoeconomic problems of maximizing of production profit and net profit which can be transferred to duality for least action and least abbreviated action which appear in mechanics. With the parallelism in mind, we review theory and macroscopic applications of a recently developed discrete formalism of Hamilton-Jacobi type which arises when Bellman's method of dynamic programming is applied to optimize active (work producing) and inactive (entropy generating) multistage energy systems with free intervals of an independent variable. Our original contribution develops a generalized theory for discrete processes in which these intervals can reside in the model inhomogeneously and can be constrained. We consider applications to multistage thermal machines, controlled unit operations, spontaneous relaxations, nonlinear heat conduction, and self-propagating reaction-diffusion fronts. They all satisfy a basic functional equation that leads to the Hamilton-Jacobi-Bellman equation (HJB equation) and a related discrete optimization algorithm with a maximum principle for a Hamiltonian. Correspondence is shown with the well-known HJB theory for continuous processes when the number of stages approaches an infinity. We show that a common unifying criterion, which is the criterion of a minimum generated entropy, can be proven to act locally in the majority of considered cases, although the related global statements can be invalid far from equilibrium. General limits are found which bound the consumption of the classical work potential (exergy) for finite durations.
MHC, parasites and antler development in red deer: no support for the Hamilton & Zuk hypothesis.
Buczek, M; Okarma, H; Demiaszkiewicz, A W; Radwan, J
2016-03-01
The Hamilton-Zuk hypothesis proposes that the genetic benefits of preferences for elaborated secondary sexual traits have their origins in the arms race between hosts and parasites, which maintains genetic variance in parasite resistance. Infection, in turn, can be reflected in the expression of costly sexual ornaments. However, the link between immune genes, infection and the expression of secondary sexual traits has rarely been investigated. Here, we explored whether the presence and identity of functional variants (supertypes) of the highly polymorphic major histocompatibility complex (MHC), which is responsible for the recognition of parasites, predict the load of lung and gut parasites and antler development in the red deer (Cervus elaphus). While we found MHC supertypes to be associated with infection by a number of parasite species, including debilitating lung nematodes, we did not find support for the Hamilton-Zuk hypothesis. On the contrary, we found that lung nematode load was positively associated with antler development. We also found that the supertypes that were associated with resistance to certain parasites at the same time cause susceptibility to others. Such trade-offs may undermine the potential genetic benefits of mate choice for resistant partners. PMID:26687843
Structure and metamorphism of the Franciscan Complex, Mt. Hamilton area, Northern California
Blake, M.C., Jr.; Wentworth, C.M.
1999-01-01
Truncation of metamorphic isograds and fold axes within coherent terranes of Franciscan metagraywacke by intervening zones of melange indicate that the melange is tectonic and formed after the subduction-related metamorphism and folding. These relations are expressed in two terranes of blueschist-facies rocks of the Franciscan Complex in the Mt. Hamilton area, northern California-the Jurassic Yolla Bolly terrane and the structurally underlying Cretaceous Burnt Hills terrane. Local preservation in both terranes of basal radiolarian chert and oceanic basalt beneath continent-derived metagraywacke and argillite demonstrates thrust repetition within the coherent terranes, although these relations are scarce near Mt. Hamilton. The metagraywackes range from albite-pumpellyite blueschists to those containing well-crystallized jadeitic pyroxene, and a jadeite-in isograd can be defined in parts of the area. Primary bedding defines locally coherent structural orientations and folds within the metagraywacke units. These units are crosscut by thin zones of tectonic melange containing blocks of high-grade blueschist, serpentinite, and other exotic rocks, and a broader, but otherwise identical melange zone marks the discordant boundary between the two terranes.
1989 Alice Hamilton lecture. Lead and human health: background and recent findings.
Lippmann, M
1990-02-01
This paper, prepared in tribute to Dr. Alice Hamilton on her 120th birthday, reviews her pioneering studies of occupational lead poisoning and its control, her largely unheeded warnings about the possible consequences of widespread lead exposure to the general public through the use of leaded fuel, and the results of recent studies of human exposure to and health effects of lead in the general environment. Evidence is presented for dose-related non-threshold effects for children with blood lead concentrations below 25 micrograms/dl for a variety of effects including verbal IQ; mental development; physical size; and age at physical milestones such as first steps, hearing thresholds, and postural sway. For adults, various studies have produced associations between blood pressure and blood lead concentrations below 35 micrograms/dl, suggesting possible effects on cardiovascular health. While the biological mechanisms responsible for these effects remain poorly understood, recent and current efforts to reduce exposure to lead by the virtual elimination of lead in gasoline and food packaging show that we have learned one of Dr. Hamilton's important lessons, i.e., that the most effective means of reducing excessive exposures are through control of the environmental sources. PMID:2404752
On the connection between Hamilton and Lagrange formalism in quantum field theory
NASA Astrophysics Data System (ADS)
Villalba-Chávez, Selym; Alkofer, Reinhard; Schwenzer, Kai
2010-08-01
The connection between the Hamilton and the standard Lagrange formalism is established for a generic quantum field theory with vanishing vacuum expectation values of the fundamental fields. The effective actions in both formalisms are the same if and only if the fundamental fields and the momentum fields are related by the stationarity condition. These momentum fields in general differ from the canonical fields as defined via the effective action. By means of functional methods a systematic procedure is presented to identify the full correlation functions, which depend on the momentum fields, as functionals of those usually appearing in the standard Lagrange formalism. Whereas Lagrange correlation functions can be decomposed into tree diagrams, the decomposition of Hamilton correlation functions involves loop corrections similar to those arising in n-particle effective actions. To demonstrate the method we derive for theories with linearized interactions the propagators of composite auxiliary fields and the ones of the fundamental degrees of freedom. The formalism is then utilized in the case of Coulomb gauge Yang-Mills theory for which the relations between the two-point correlation functions of the transversal and longitudinal components of the conjugate momentum to the ones of the gauge field are given.
From classical Lagrangians to Hamilton operators in the standard model extension
NASA Astrophysics Data System (ADS)
Schreck, M.
2016-07-01
In this article we investigate whether a theory based on a classical Lagrangian for the minimal Standard Model Extension (SME) can be quantized such that the result is equal to the corresponding low-energy Hamilton operator obtained from the field-theory description. This analysis is carried out for the whole collection of minimal Lagrangians found in the literature. The upshot is that the first quantization can be performed consistently. The unexpected observation is made that at first order in Lorentz violation and at second order in the velocity, the Lagrangians are related to the Hamilton functions by a simple transformation. Under mild assumptions, it is shown that this holds universally. That result is used successfully to obtain classical Lagrangians for two complicated sectors of the minimal SME that have not been considered in the literature so far. Therefore, it will not be an obstacle anymore to derive such Lagrangians even for involved sets of coefficients—at least to the level of approximation stated above.
Marvin, C.H.; McCarry, B.E.; Allan, L.; Bryant, D.W.
1995-06-01
Aggregates of dreissenid mussels were collected in Hamilton Harbour (western Lake Ontario) from a south shore site (Randle Reef) in an area characterized by coal tar-contaminated sediments, and from a site on the north shore exposed to particulates circulating in the harbour water column. Samples were separated into three components: dreissend mussels, gammarid amphipods (Gammarus fasciatus), and particulate material. The samples were freeze-dried, and extracted using ultrasonication in dichloromethane. The organic solvent extracts were subjected to an open-column alumina and Sephadex LH-20 gel column clean-up procedure, and characterized by gas chromatography-mass spectrometry (GC-MS). The chromatographic profiles of all sample extracts were dominated by polycyclic aromatic hydrocarbons (PAH). The concentrations of the individual compounds were normalized for contaminant profile comparison of the extracts of dreissenids, amphipods, and particulates associated with aggregates of dreissenid mussels. These profiles were also compared with extracts of coal tar-contaminated sediment from the Randle Reef area, and extracts of suspended particulates obtained from sediment traps. The similarities in the PAH profiles provide evidence of exposure to a common source of contaminants. These data also show that PAH associated with suspended particulates obtained from sediment traps. The similarities in the PAH profiles provide evidence of exposure to a common source of contaminants. These data also show that PAH associated with suspended particulates in Hamilton Harbour are being accumulated by dreissenid mussels and gammarid amphipods.
Respiratory medicine at McMaster University, Hamilton, Ontario: 1968 to 2013
Jones, Norman L; O’Byrne, Paul M
2014-01-01
The medical school at McMaster University (Hamilton, Ontario) was conceived in 1965 and admitted the first class in 1969. John Evans became the founding Dean and he invited Moran Campbell to be the first Chairman of the Department of Medicine. Moran Campbell, already a world figure in respiratory medicine and physiology, arrived at McMaster in September 1968, and he invited Norman Jones to be Coordinator of the Respiratory Programme. At that time, Hamilton had a population of 300,000, with two full-time respirologists, Robert Cornett at the Hamilton General Hospital and Michael Newhouse at St Joseph’s Hospital. From the clinical perspective, the aim of the Respiratory Programme was to develop a network approach to clinical problems among the five hospitals in the Hamilton region, with St Joseph’s Hospital serving as a regional referral centre, and each hospital developing its own focus: intensive care and burns units at the Hamilton General Hospital; cancer at the Henderson (later Juravinski) Hospital; tuberculosis and rehabilitation at the Chedoke Hospital; pediatrics and neonatal intensive care at the McMaster University Medical Centre; and community care at the Joseph Brant Hospital in Burlington (Ontario). The network provided an ideal base for a specialty residency program. There was also the need to establish viable research. These objectives were achieved through collaboration, support of hospital administration, and recruitment of clinicians and faculty, mainly from our own trainees and research fellows. By the mid-1970s the respiratory group numbered more than 25; outpatient clinic visits and research had grown beyond our initial expectations. The international impact of the group became reflected in the clinical and basic research endeavours. ASTHMA: Freddy Hargreave and Jerry Dolovich established methods to measure airway responsiveness to histamine and methacholine. Allergen inhalation was shown to increase airway responsiveness for several weeks
Massless Spin-Zero Particle and the Classical Action via Hamilton-Jacobi Equation in Gödel Universe
NASA Astrophysics Data System (ADS)
Bahrehbakhsh, A. F.; Momeni, D.; Myrzakulov, R.
2012-08-01
In this letter we investigate the separability of the Klein-Gordon and Hamilton-Jacobi equation in Gödel universe. We show that the Klein-Gordon eigen modes are quantized and the complete spectrum of the particle's energy is a mixture of an azimuthal quantum number, m and a principal quantum number, n and a continuous wave number k. We also show that the Hamilton-Jacobi equation gives a closed function for classical action. These results may be used to calculate the Casimir vacuum energy in Gödel universe.
Lui, Tun Hing
2015-01-01
A 17-year-old boy reported left second and third toe pain after axial loading injury to his left foot. Radiographs showed collapse of the second metatarsal heads and epiphysial irregularities of the fifth metatarsal heads and the condyle of the proximal phalanx of the hallux of both feet. The patient was diagnosed to have Thompson and Hamilton type IV Freiberg's disease. He was screened for epiphysial dysplasia of the other sites. He had on and off bilateral hip and knee pain. Radiographs showed bilateral symmetrical epiphysial abnormalities with morphological change as focal concavity in bilateral femoral heads and fragmentation of the patellar articular surface with preservation of the patellofemoral joint space. PMID:25721826
Marvin, C.H.; Allan, L.; McCarry, B.E.; Bryant, D.W. )
1993-01-01
Highly contaminated sediment from the Hamilton Harbour area of western Lake Ontario was examined using a bioassay-directed fractionation methodology. A sediment sample was extracted using a Soxhlet apparatus and the resulting extract was fractionated into compound classes using an alumina clean-up step and high performance liquid chromatographic techniques. The resulting fractions were subjected to bioassays using TA98- and TA100-like strains modified by the inclusion of genes for the activating enzymes nitroreductase and O-acetyl-transferase. The majority of the mutagenic activity displayed by the sample extract was found to be present in the fraction containing the polycyclic aromatic hydrocarbons (PAH). Extracts of the PAH-containing fraction displayed dramatically higher responses with the TA100 type strains with metabolic activation. Further separation of the PAH-containing fraction showed the majority of the biological activity coeluted with PAH having molecular masses of 276, 278, and 302 amu.
Landau-Lifshitz magnetodynamics as a Hamilton model: Magnons in an instanton background
NASA Astrophysics Data System (ADS)
Ovchinnikov, Igor V.; Wang, Kang L.
2010-07-01
To take full advantage of the well-developed field-theoretic methods, Magnonics needs a yet-existing Lagrangian formulation. Here, we show that Landau-Lifshitz magnetodynamics is a member of the covariant-Schrödinger-equation family of Hamilton models and apply the covariant background method arriving at the Ginzburg-Landau Lagrangian formalism for magnons in an instanton background. Magnons appear to be nonrelativistic spinless bosons, which feel instantons as a gauge field and as a Bose condensate. Among the examples of the usefulness of the proposition is the recognition of the instanton-induced phase shifts in magnons as the Berry phase and the interpretation of the spin-transfer-torque generation as a ferromagnetic counterpart of the Josephson supercurrent.
Green, Jonathan P; Freckleton, Robert P; Hatchwell, Ben J
2016-01-01
Investment by helpers in cooperative breeding systems is extremely variable among species, but this variation is currently unexplained. Inclusive fitness theory predicts that, all else being equal, cooperative investment should correlate positively with the relatedness of helpers to the recipients of their care. We test this prediction in a comparative analysis of helper investment in 36 cooperatively breeding bird species. We show that species-specific helper contributions to cooperative brood care increase as the mean relatedness between helpers and recipients increases. Helper contributions are also related to the sex ratio of helpers, but neither group size nor the proportion of nests with helpers influence helper effort. Our findings support the hypothesis that variation in helping behaviour among cooperatively breeding birds is consistent with Hamilton's rule, indicating a key role for kin selection in the evolution of cooperative investment in social birds. PMID:27554604
Nice to kin and nasty to non-kin: revisiting Hamilton's early insights on eusociality.
Boomsma, Jacobus J; d'Ettorre, Patrizia
2013-01-01
When helping behaviour is costly, Hamiltonian logic implies that animals need to direct helpful acts towards kin, so that indirect fitness benefits justify the costs. We revisit inferences about nepotism and aggression in Hamilton's 1964 paper to argue that he overestimated the general significance of nepotism, but that other issues that he raised continue to suggest novel research agendas today. We now know that nepotism in eusocial insects is rare, because variation in genetic recognition cues is insufficient. A lower proportion of individuals breeding and larger clutch sizes selecting for a more uniform colony odour may explain this. Irreversible worker sterility can induce both the fiercest possible aggression and the highest likelihood of helping random distant kin, but these Hamiltonian contentions still await large-scale testing in social animals. PMID:24132094
Lane-Hamilton syndrome: case report and review of the literature.
Hendrickx, Guy F M; Somers, Katia; Vandenplas, Yvan
2011-12-01
We report a case of a three-and-a-half-year-old boy, who presented with poor general condition, stunted growth, had the presence of nail clubbing, persistent cough and frequent diarrhoea. Persistent iron deficiency anaemia without signs of haemolysis suggested Lane-Hamilton syndrome (LHS) which is or/is an extremely rare combination of idiopathic pulmonary haemosiderosis (IPH) and celiac disease (CD), although both diseases are immunologically mediated and the pathogenetic link between them is not clear. We have now 3 years of follow-up on gluten-free diet (GFD), resulting in a gradual recovery of the abnormal laboratory results in combination with an improving growth. Clinically, he is asymptomatic without any additional treatment. Our case illustrates that CD should be specifically looked for in patients with IPH, especially those in whom the severity of anaemia is disproportionate to the IPH symptoms. Both diseases may benefit from a GFD. PMID:21947219
On a Lagrange-Hamilton formalism describing position and momentum uncertainties
NASA Technical Reports Server (NTRS)
Schuch, Dieter
1993-01-01
According to Heisenberg's uncertainty relation, in quantum mechanics it is not possible to determine, simultaneously, exact values for the position and the momentum of a material system. Calculating the mean value of the Hamiltonian operator with the aid of exact analytic Gaussian wave packet solutions, these uncertainties cause an energy contribution additional to the classical energy of the system. For the harmonic oscillator, e.g., this nonclassical energy represents the ground state energy. It will be shown that this additional energy contribution can be considered as a Hamiltonian function, if it is written in appropriate variables. With the help of the usual Lagrange-Hamilton formalism known from classical particle mechanics, but now considering this new Hamiltonian function, it is possible to obtain the equations of motion for position and momentum uncertainties.
Constants of the motion, universal time and the Hamilton-Jacobi function in general relativity
NASA Astrophysics Data System (ADS)
O'Hara, Paul
2013-04-01
In most text books of mechanics, Newton's laws or Hamilton's equations of motion are first written down and then solved based on initial conditions to determine the constants of the motions and to describe the trajectories of the particles. In this essay, we take a different starting point. We begin with the metrics of general relativity and show how they can be used to construct by inspection constants of motion, which can then be used to write down the equations of the trajectories. This will be achieved by deriving a Hamiltonian-Jacobi function from the metric and showing that its existence requires all of the above mentioned properties. The article concludes by showing that a consistent theory of such functions also requires the need for a universal measure of time which can be identified with the "worldtime" parameter, first introduced by Steuckelberg and later developed by Horwitz and Piron.
Green, Jonathan P.; Freckleton, Robert P.; Hatchwell, Ben J.
2016-01-01
Investment by helpers in cooperative breeding systems is extremely variable among species, but this variation is currently unexplained. Inclusive fitness theory predicts that, all else being equal, cooperative investment should correlate positively with the relatedness of helpers to the recipients of their care. We test this prediction in a comparative analysis of helper investment in 36 cooperatively breeding bird species. We show that species-specific helper contributions to cooperative brood care increase as the mean relatedness between helpers and recipients increases. Helper contributions are also related to the sex ratio of helpers, but neither group size nor the proportion of nests with helpers influence helper effort. Our findings support the hypothesis that variation in helping behaviour among cooperatively breeding birds is consistent with Hamilton's rule, indicating a key role for kin selection in the evolution of cooperative investment in social birds. PMID:27554604
Refinement of the Hamilton-Jacobi solution using a second canonical transformation
Gabella, W.E. . Dept. of Physics); Ruth, R.D.; Warnock, R.L. )
1991-05-01
Two canonical transformations are implemented to find approximate invariant surface for a nonlinear, time-periodic Hamiltonian. The first transformation is found from the non-perturbative, iterative solution of the Hamilton-Jacobi equation. The residual angle dependence remaining after performing the transformation is mostly eliminated by a second, perturbative transformation. This refinement can improve the accuracy, or the speed, of the invariant surface calculation. The motion of a single particle in one transverse dimension is studied in a storage ring example where strong sextupole magnets are the source of nonlinearity. The refined transformation to action-angle variables, and the corresponding invariant surface, can attain accuracy similar to that of a good non-perturbative transformation in half the computation time. 3 refs., 2 figs., 1 tab.
Second-order quantized Hamilton dynamics coupled to classical heat bath
Heatwole, Eric M.; Prezhdo, Oleg V.
2005-06-15
Starting with a quantum Langevin equation describing in the Heisenberg representation a quantum system coupled to a quantum bath, the Markov approximation and, further, the closure approximation are applied to derive a semiclassical Langevin equation for the second-order quantized Hamilton dynamics (QHD) coupled to a classical bath. The expectation values of the system operators are decomposed into products of the first and second moments of the position and momentum operators that incorporate zero-point energy and moderate tunneling effects. The random force and friction as well as the system-bath coupling are decomposed to the lowest classical level. The resulting Langevin equation describing QHD-2 coupled to classical bath is analyzed and applied to free particle, harmonic oscillator, and the Morse potential representing the OH stretch of the SPC-flexible water model.
NASA Technical Reports Server (NTRS)
Calise, Anthony J.; Melamed, Nahum
1993-01-01
In this paper we develop a general procedure for constructing a matched asymptotic expansion of the Hamilton-Jacobi-Bellman equation based on the method of characteristics. The development is for a class of perturbation problems whose solution exhibits two-time-scale behavior. A regular expansion for problems of this type is inappropriate since it is not uniformly valid over a narrow range of the independent variable. Of particular interest here is the manner in which matching and boundary conditions are enforced when the expansion is carried out to first order. Two cases are distinguished - one where the left boundary condition coincides with or lies to the right of the singular region and one where the left boundary condition lies to the left of the singular region. A simple example is used to illustrate the procedure, and its potential application to aeroassisted plane change is described.
Hamilton-Jacobi method for molecular distribution function in a chemical oscillator.
Nakanishi, Hiizu; Sakaue, Takahiro; Wakou, Jun'ichi
2013-12-01
Using the Hamilton-Jacobi method, we solve chemical Fokker-Planck equations within the Gaussian approximation and obtain a simple and compact formula for a conditional probability distribution. The formula holds in general transient situations, and can be applied not only to a steady state but also to an oscillatory state. By analyzing the long time behavior of the solution in the oscillatory case, we obtain the phase diffusion constant along the periodic orbit and the steady distribution perpendicular to it. A simple method for numerical evaluation of these formulas are devised, and they are compared with Monte Carlo simulations in the case of Brusselator as an example. Some results are shown to be identical to previously obtained expressions. PMID:24320362
The classical limit of minimal length uncertainty relation: revisit with the Hamilton-Jacobi method
NASA Astrophysics Data System (ADS)
Guo, Xiaobo; Wang, Peng; Yang, Haitang
2016-05-01
The existence of a minimum measurable length could deform not only the standard quantum mechanics but also classical physics. The effects of the minimal length on classical orbits of particles in a gravitation field have been investigated before, using the deformed Poisson bracket or Schwarzschild metric. In this paper, we first use the Hamilton-Jacobi method to derive the deformed equations of motion in the context of Newtonian mechanics and general relativity. We then employ them to study the precession of planetary orbits, deflection of light, and time delay in radar propagation. We also set limits on the deformation parameter by comparing our results with the observational measurements. Finally, comparison with results from previous papers is given at the end of this paper.
High-Order Central WENO Schemes for Multi-Dimensional Hamilton-Jacobi Equations
NASA Technical Reports Server (NTRS)
Bryson, Steve; Levy, Doron; Biegel, Bryan (Technical Monitor)
2002-01-01
We present new third- and fifth-order Godunov-type central schemes for approximating solutions of the Hamilton-Jacobi (HJ) equation in an arbitrary number of space dimensions. These are the first central schemes for approximating solutions of the HJ equations with an order of accuracy that is greater than two. In two space dimensions we present two versions for the third-order scheme: one scheme that is based on a genuinely two-dimensional Central WENO reconstruction, and another scheme that is based on a simpler dimension-by-dimension reconstruction. The simpler dimension-by-dimension variant is then extended to a multi-dimensional fifth-order scheme. Our numerical examples in one, two and three space dimensions verify the expected order of accuracy of the schemes.
Numerical Schemes for the Hamilton-Jacobi and Level Set Equations on Triangulated Domains
NASA Technical Reports Server (NTRS)
Barth, Timothy J.; Sethian, James A.
1997-01-01
Borrowing from techniques developed for conservation law equations, numerical schemes which discretize the Hamilton-Jacobi (H-J), level set, and Eikonal equations on triangulated domains are presented. The first scheme is a provably monotone discretization for certain forms of the H-J equations. Unfortunately, the basic scheme lacks proper Lipschitz continuity of the numerical Hamiltonian. By employing a virtual edge flipping technique, Lipschitz continuity of the numerical flux is restored on acute triangulations. Next, schemes are introduced and developed based on the weaker concept of positive coefficient approximations for homogeneous Hamiltonians. These schemes possess a discrete maximum principle on arbitrary triangulations and naturally exhibit proper Lipschitz continuity of the numerical Hamiltonian. Finally, a class of Petrov-Galerkin approximations are considered. These schemes are stabilized via a least-squares bilinear form. The Petrov-Galerkin schemes do not possess a discrete maximum principle but generalize to high order accuracy.
A Hamilton-Jacobi-Bellman approach for termination of seizure-like bursting.
Wilson, Dan; Moehlis, Jeff
2014-10-01
We use Hamilton-Jacobi-Bellman methods to find minimum-time and energy-optimal control strategies to terminate seizure-like bursting behavior in a conductance-based neural model. Averaging is used to eliminate fast variables from the model, and a target set is defined through bifurcation analysis of the slow variables of the model. This method is illustrated for a single neuron model and for a network model to illustrate its efficacy in terminating bursting once it begins. This work represents a numerical proof-of-concept that a new class of control strategies can be employed to mitigate bursting, and could ultimately be adapted to treat medically intractible epilepsy in patient-specific models. PMID:24965911
Hamilton-Jacobi tunneling method for dynamical horizons in different coordinate gauges
NASA Astrophysics Data System (ADS)
Di Criscienzo, Roberto; Hayward, Sean A.; Nadalini, Mario; Vanzo, Luciano; Zerbini, Sergio
2010-01-01
Previous work on dynamical black hole instability is further elucidated within the Hamilton-Jacobi method for horizon tunneling and the reconstruction of the classical action by means of the null expansion method. Everything is based on two natural requirements, namely that the tunneling rate is an observable and therefore it must be based on invariantly defined quantities, and that coordinate systems which do not cover the horizon should not be admitted. These simple observations can help to clarify some ambiguities, like the doubling of the temperature occurring in the static case when using singular coordinates and the role, if any, of the temporal contribution of the action to the emission rate. The formalism is also applied to FRW cosmological models, where it is observed that it predicts the positivity of the temperature naturally, without further assumptions on the sign of energy.
Gauge symmetry of the N-body problem in the Hamilton-Jacobi approach
NASA Astrophysics Data System (ADS)
Efroimsky, Michael; Goldreich, Peter
2003-12-01
In most books the Delaunay and Lagrange equations for the orbital elements are derived by the Hamilton-Jacobi method: one begins with the two-body Hamilton equations in spherical coordinates, performs a canonical transformation to the orbital elements, and obtains the Delaunay system. A standard trick is then used to generalize the approach to the N-body case. We reexamine this step and demonstrate that it contains an implicit condition which restricts the dynamics to a 9(N-1)-dimensional submanifold of the 12(N-1)-dimensional space spanned by the elements and their time derivatives. The tacit condition is equivalent to the constraint that Lagrange imposed ``by hand'' to remove the excessive freedom, when he was deriving his system of equations by variation of parameters. It is the condition of the orbital elements being osculating, i.e., of the instantaneous ellipse (or hyperbola) being always tangential to the physical velocity. Imposure of any supplementary condition different from the Lagrange constraint (but compatible with the equations of motion) is legitimate and will not alter the physical trajectory or velocity (though will alter the mathematical form of the planetary equations). This freedom of nomination of the supplementary constraint reveals a gauge-type internal symmetry instilled into the equations of celestial mechanics. Existence of this internal symmetry has consequences for the stability of numerical integrators. Another important aspect of this freedom is that any gauge different from that of Lagrange makes the Delaunay system noncanonical. In a more general setting, when the disturbance depends not only upon positions but also upon velocities, there is a ``generalized Lagrange gauge'' wherein the Delaunay system is symplectic. This special gauge renders orbital elements that are osculating in the phase space. It coincides with the regular Lagrange gauge when the perturbation is velocity independent.
ERIC Educational Resources Information Center
Nicolaidis, Mary; Sica, Michael
The major goal of Project SPEED (at Fort Hamilton High School, Brooklyn, New York) was dropout prevention. In its first year of operation, 1982-83, the project provided English as a Second Language (ESL) instruction, bilingual instruction in basic skills required for graduation, and guidance services to approximately 300 limited English proficient…
ERIC Educational Resources Information Center
Blight, David W.
2002-01-01
Presents the story of Charles Hamilton Houston, an African American legal scholar who led a crusade focused on equal educational opportunities and facilities for African American students. He used the courts to force Americans to listen to his message about racial subjugation, segregation, and lynch law. (SM)
76 FR 76707 - Brian Hamilton; El Paso Natural Gas and El Paso Western Pipelines; Notice of Complaint
Federal Register 2010, 2011, 2012, 2013, 2014
2011-12-08
... From the Federal Register Online via the Government Publishing Office DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Brian Hamilton; El Paso Natural Gas and El Paso Western Pipelines; Notice of... Improvement Act of 2002, and the Pipeline Hazardous Material Safety Administration, Brian...
Federal Register 2010, 2011, 2012, 2013, 2014
2011-12-15
... From the Federal Register Online via the Government Publishing Office DEPARTMENT OF ENERGY Federal Energy Regulatory Commission Brian Hamilton v. El Paso Natural Gas, El Paso Western Pipelines; Notice Announcing Docket Number Change On December 2, 2011, the Commission issued a notice in docket number...
NASA Astrophysics Data System (ADS)
Osetrin, Konstantin; Filippov, Altair; Osetrin, Evgeny
2016-01-01
The characteristics of dust matter in spacetime models, admitting the existence of privilege coordinate systems are given, where the single-particle Hamilton-Jacobi equation can be integrated by the method of complete separation of variables. The resulting functional form of the 4-velocity field and energy density of matter for all types of spaces under consideration is presented.
NASA Technical Reports Server (NTRS)
Fitzpatrick, P. M.; Harmon, G. R.; Liu, J. J. F.; Cochran, J. E.
1974-01-01
The formalism for studying perturbations of a triaxial rigid body within the Hamilton-Jacobi framework is developed. The motion of a triaxial artificial earth satellite about its center of mass is studied. Variables are found which permit separation, and the Euler angles and associated conjugate momenta are obtained as functions of canonical constants and time.
NASA Astrophysics Data System (ADS)
Feng, Zhongwen; Li, Guoping; Jiang, Pengying; Pan, Yang; Zu, Xiaotao
2016-07-01
In this paper, we derive the deformed Hamilton-Jacobi equations from the generalized Klein-Gordon equation and generalized Dirac equation. Then, we study the tunneling rate, Hawking temperature and entropy of the higher-dimensional Reissner-Nordström de Sitter black hole via the deformed Hamilton-Jacobi equation. Our results show that the deformed Hamilton-Jacobi equations for charged scalar particles and charged fermions have the same expressions. Besides, the modified Hawking temperatures and entropy are related to the mass and charge of the black hole, the cosmology constant, the quantum number of emitted particles, and the term of GUP effects β.
Wave front-ray synthesis for solving the multidimensional quantum Hamilton-Jacobi equation
Wyatt, Robert E.; Chou, Chia-Chun
2011-08-21
A Cauchy initial-value approach to the complex-valued quantum Hamilton-Jacobi equation (QHJE) is investigated for multidimensional systems. In this approach, ray segments foliate configuration space which is laminated by surfaces of constant action. The QHJE incorporates all quantum effects through a term involving the divergence of the quantum momentum function (QMF). The divergence term may be expressed as a sum of two terms, one involving displacement along the ray and the other incorporating the local curvature of the action surface. It is shown that curvature of the wave front may be computed from coefficients of the first and second fundamental forms from differential geometry that are associated with the surface. Using the expression for the divergence, the QHJE becomes a Riccati-type ordinary differential equation (ODE) for the complex-valued QMF, which is parametrized by the arc length along the ray. In order to integrate over possible singularities in the QMF, a stable and accurate Moebius propagator is introduced. This method is then used to evolve rays and wave fronts for four systems in two and three dimensions. From the QMF along each ray, the wave function can be easily computed. Computational difficulties that may arise are described and some ways to circumvent them are presented.
Pengelly, L.D.; Kerigan, A.T.; Goldsmith, C.H.; Inman, E.M.
1984-10-01
Hamilton, Ontario is an industrial city with a population of 300,000 which is situated at the western end of Lake Ontario. Canada's two largest iron and steel mills are located here; the city historically has had relatively poor air quality, which has improved markedly in the last 25 years. Concern about the health effects of current air quality recently led us to carry out an epidemiological study of the effects of air pollution on the respiratory health of over 3500 school children. Respiratory health was measured by pulmonary function testing of each child, and by an assessment of each child's respiratory symptoms via a questionnaire administered to the parents. Previous studies had shown that other environmental factors (e.g. parental smoking, parental cough, socioeconomic level, housing, and gas cooking) might also affect respiratory health, and thus confound any potential relationships between health and air pollution. The questionnaire also collected information on many of these confounding factors. For the purposes of initial analysis, the city was divided into five areas in which differences in air quality were expected. In general, factors which have been associated with poor respiratory health were observed to be more prevalent in areas of poorer air quality.
Communication and relationship skills for rapid response teams at hamilton health sciences.
Cziraki, Karen; Lucas, Janie; Rogers, Toni; Page, Laura; Zimmerman, Rosanne; Hauer, Lois Ann; Daniels, Charlotte; Gregoroff, Susan
2008-01-01
Rapid response teams (RRT) are an important safety strategy in the prevention of deaths in patients who are progressively failing outside of the intensive care unit. The goal is to intervene before a critical event occurs. Effective teamwork and communication skills are frequently cited as critical success factors in the implementation of these teams. However, there is very little literature that clearly provides an education strategy for the development of these skills. Training in simulation labs offers an opportunity to assess and build on current team skills; however, this approach does not address how to meet the gaps in team communication and relationship skill management. At Hamilton Health Sciences (HHS) a two-day program was developed in collaboration with the RRT Team Leads, Organizational Effectiveness and Patient Safety Leaders. Participants reflected on their conflict management styles and considered how their personality traits may contribute to team function. Communication and relationship theories were reviewed and applied in simulated sessions in the relative safety of off-site team sessions. The overwhelming positive response to this training has been demonstrated in the incredible success of these teams from the perspective of the satisfaction surveys of the care units that call the team, and in the multi-phased team evaluation of their application to practice. These sessions offer a useful approach to the development of the soft skills required for successful RRT implementation. PMID:18382164
Canonical equations of Hamilton for the nonlinear Schrödinger equation
NASA Astrophysics Data System (ADS)
Liang, Guo; Guo, Qi; Ren, Zhanmei
2015-09-01
We define two different systems of mathematical physics: the second order differential system (SODS) and the first order differential system (FODS). The Newton's second law of motion and the nonlinear Schrödinger equation (NLSE) are the exemplary SODS and FODS, respectively. We obtain a new kind of canonical equations of Hamilton (CEH), which exhibit some kind of symmetry in form and are formally different from the conventional CEH without symmetry [H. Goldstein, C. Poole, J. Safko, Classical Mechanics, third ed., Addison- Wesley, 2001]. We also prove that the number of the CEHs is equal to the number of the generalized coordinates for the FODS, but twice the number of the generalized coordinates for the SODS. We show that the FODS can only be expressed by the new CEH, but not introduced by the conventional CEH, while the SODS can be done by both the new and the conventional CEHs. As an example, we prove that the nonlinear Schrödinger equation can be expressed with the new CEH in a consistent way.
Husbandry stress exacerbates mycobacterial infections in adult zebrafish, Danio rerio (Hamilton)
Ramsay, J.M.; Watral, V.; Schreck, C.B.; Kent, M.L.
2009-01-01
Mycobacteria are significant pathogens of laboratory zebrafish, Danio rerio (Hamilton). Stress is often implicated in clinical disease and morbidity associated with mycobacterial infections but has yet to be examined with zebrafish. The aim of this study was to examine the effects of husbandry stressors on zebrafish infected with mycobacteria. Adult zebrafish were exposed to Mycobacterium marinum or Mycobacterium chelonae, two species that have been associated with disease in zebrafish. Infected fish and controls were then subjected to chronic crowding and handling stressors and examined over an 8-week period. Whole-body cortisol was significantly elevated in stressed fish compared to non-stressed fish. Fish infected with M. marinum ATCC 927 and subjected to husbandry stressors had 14% cumulative mortality while no mortality occurred among infected fish not subjected to husbandry stressors. Stressed fish, infected with M. chelonae H1E2 from zebrafish, were 15-fold more likely to be infected than non-stressed fish at week 8 post-injection. Sub-acute, diffuse infections were more common among stressed fish infected with M. marinum or M. chelonae than non-stressed fish. This is the first study to demonstrate an effect of stress and elevated cortisol on the morbidity, prevalence, clinical disease and histological presentation associated with mycobacterial infections in zebrafish. Minimizing husbandry stress may be effective at reducing the severity of outbreaks of clinical mycobacteriosis in zebrafish facilities. ?? 2009 Blackwell Publishing Ltd.
Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation
Rajaratnam, Krishan McLenaghan, Raymond G.
2014-01-15
We study Killing tensors in the context of warped products and apply the results to the problem of orthogonal separation of the Hamilton-Jacobi equation. This work is motivated primarily by the case of spaces of constant curvature where warped products are abundant. We first characterize Killing tensors which have a natural algebraic decomposition in warped products. We then apply this result to show how one can obtain the Killing-Stäckel space (KS-space) for separable coordinate systems decomposable in warped products. This result in combination with Benenti's theory for constructing the KS-space of certain special separable coordinates can be used to obtain the KS-space for all orthogonal separable coordinates found by Kalnins and Miller in Riemannian spaces of constant curvature. Next we characterize when a natural Hamiltonian is separable in coordinates decomposable in a warped product by showing that the conditions originally given by Benenti can be reduced. Finally, we use this characterization and concircular tensors (a special type of torsionless conformal Killing tensor) to develop a general algorithm to determine when a natural Hamiltonian is separable in a special class of separable coordinates which include all orthogonal separable coordinates in spaces of constant curvature.
Health-hazard evaluation report HETA 86-437-1818, Champion International Corporation, Hamilton, Ohio
Tubbs, R.L.
1987-07-01
In response to a request from employees at the Champion International Corporation paper mill located in Hamilton, Ohio, a study was made of possible excessive noise hazards arising in the small cutter area of the facility. One paper cutter, considered by workers to be louder than the others, was scheduled to have an enclosure installed for the rotary knife blade. Noise surveys were conducted in July before the installation and in November after the installation of the enclosure. Data gathered in July indicated noise levels of 108 decibels-A (dB-A), while the octave-band analysis demonstrated the majority of the sound energy to be in the midfrequency range from 250 to 4000 hertz (Hz). In November, tests showed the level to be 95dB-A with a corresponding decrease in the midfrequency sound intensities. Enclosing the rotary knife blade did reduce the potential for noise exposure, but noise measurements in excess of the NIOSH Recommended Exposure Limit of 85dB-A for an 8-hour day were common. The author concludes that a noise hazard existed in the small cutter area. The author recommends that engineering controls be continuously sought to further reduce the noise level from this particular machine. The use of nonmetallic drive gears should be considered, along with filling of the hollow knife blade cylinder with a lightweight acoustical material. An effective hearing-conservation program should be implemented and employees trained in the proper use of hearing protective devices.
Wave front-ray synthesis for solving the multidimensional quantum Hamilton-Jacobi equation.
Wyatt, Robert E; Chou, Chia-Chun
2011-08-21
A Cauchy initial-value approach to the complex-valued quantum Hamilton-Jacobi equation (QHJE) is investigated for multidimensional systems. In this approach, ray segments foliate configuration space which is laminated by surfaces of constant action. The QHJE incorporates all quantum effects through a term involving the divergence of the quantum momentum function (QMF). The divergence term may be expressed as a sum of two terms, one involving displacement along the ray and the other incorporating the local curvature of the action surface. It is shown that curvature of the wave front may be computed from coefficients of the first and second fundamental forms from differential geometry that are associated with the surface. Using the expression for the divergence, the QHJE becomes a Riccati-type ordinary differential equation (ODE) for the complex-valued QMF, which is parametrized by the arc length along the ray. In order to integrate over possible singularities in the QMF, a stable and accurate Möbius propagator is introduced. This method is then used to evolve rays and wave fronts for four systems in two and three dimensions. From the QMF along each ray, the wave function can be easily computed. Computational difficulties that may arise are described and some ways to circumvent them are presented. PMID:21861551
Directly solving the Hamilton-Jacobi equations by Hermite WENO Schemes
NASA Astrophysics Data System (ADS)
Zheng, Feng; Qiu, Jianxian
2016-02-01
In this paper, we present a class of new Hermite weighted essentially non-oscillatory (HWENO) schemes based on finite volume framework to directly solve the Hamilton-Jacobi (HJ) equations. For HWENO reconstruction, both the cell average and the first moment of the solution are evolved, and for two dimensional case, HWENO reconstruction is based on a dimension-by-dimension strategy which is the first used in HWENO reconstruction. For spatial discretization, one of key points for directly solving HJ equation is the reconstruction of numerical fluxes. We follow the idea put forward by Cheng and Wang (2014) [3] to reconstruct the values of solution at Gauss-Lobatto quadrature points and numerical fluxes at the interfaces of cells, and for neither the convex nor concave Hamiltonian case, the monotone modification of numerical fluxes is added, which can guarantee the precision in the smooth region and converge to the entropy solution when derivative discontinuities come up. The third order TVD Runge-Kutta method is used for the time discretization. Extensive numerical experiments in one dimensional and two dimensional cases are performed to verify the efficiency of the methods.
Integrating the quantum Hamilton-Jacobi equations by wavefront expansion and phase space analysis
NASA Astrophysics Data System (ADS)
Bittner, Eric R.; Wyatt, Robert E.
2000-11-01
In this paper we report upon our computational methodology for numerically integrating the quantum Hamilton-Jacobi equations using hydrodynamic trajectories. Our method builds upon the moving least squares method developed by Lopreore and Wyatt [Phys. Rev. Lett. 82, 5190 (1999)] in which Lagrangian fluid elements representing probability volume elements of the wave function evolve under Newtonian equations of motion which include a nonlocal quantum force. This quantum force, which depends upon the third derivative of the quantum density, ρ, can vary rapidly in x and become singular in the presence of nodal points. Here, we present a new approach for performing quantum trajectory calculations which does not involve calculating the quantum force directly, but uses the wavefront to calculate the velocity field using mv=∇S, where S/ℏ is the argument of the wave function ψ. Additional numerical stability is gained by performing local gauge transformations to remove oscillatory components of the wave function. Finally, we use a dynamical Rayleigh-Ritz approach to derive ancillary equations-of-motion for the spatial derivatives of ρ, S, and v. The methodologies described herein dramatically improve the long time stability and accuracy of the quantum trajectory approach even in the presence of nodes. The method is applied to both barrier crossing and tunneling systems. We also compare our results to semiclassical based descriptions of barrier tunneling.
Computing tunneling paths with the Hamilton-Jacobi equation and the fast marching method
NASA Astrophysics Data System (ADS)
Dey, Bijoy K.; Ayers, Paul W.
We present a new method for computing the most probable tunneling paths based on the minimum imaginary action principle. Unlike many conventional methods, the paths are calculated without resorting to an optimization (minimization) scheme. Instead, a fast marching method coupled with a back-propagation scheme is used to efficiently compute the tunneling paths. The fast marching method solves a Hamilton-Jacobi equation for the imaginary action on a discrete grid where the action value at an initial point (usually the reactant state configuration) is known in the beginning. Subsequently, a back-propagation scheme uses a steepest descent method on the imaginary action surface to compute a path connecting an arbitrary point on the potential energy surface (usually a state in the product valley) to the initial state. The proposed method is demonstrated for the tunneling paths of two different systems: a model 2D potential surface and the collinear reaction. Unlike existing methods, where the tunneling path is based on a presumed reaction coordinate and a correction is made with respect to the reaction coordinate within an 'adiabatic' approximation, the proposed method is very general and makes no assumptions about the relationship between the reaction coordinate and tunneling path.
Rainhorn, Judith
2012-01-01
Dr. Alice Hamilton (1869-1970) was a pioneer in industrial medicine, a new discipline that emerged with a new interest in working conditions and occupational hazards within an era of unprecedented industrial growth. From various sources, including her reports after she visited Arizona copper belt in 1919, my paper emphasizes the innovation of Hamilton's approach,"shoeleather epidemiology". She went to the source of information in workshops, plants and construction sites, observed the very concrete part of industrial work, interviewed many stakeholders in and around the workplace, making a methodological toolbox for industrial surveys. Her method combined an old medical practice (the medical inquiry) and a new clinical field (the plant) and placed the worker as a patient in the core of the issue of occupational health and safety. PMID:23923341
NASA Astrophysics Data System (ADS)
Rovelli, Carlo
Hamiltonian mechanics of field theory can be formulated in a generally covariant and background independent manner over a finite dimensional extended configuration space. I study the physical symplectic structure of the theory in this framework. This structure can be defined over a space of three-dimensional surfaces without boundary, in the extended configuration space. These surfaces provide a preferred over-coordinatization of phase space. I consider the covariant form of the Hamilton-Jacobi equation on , and a canonical function S on which is a preferred solution of the Hamilton-Jacobi equation. The application of this formalism to general relativity is fully covariant and yields directly the Ashtekar-Wheeler-DeWitt equation, the basic equation of canonical quantum gravity. Finally, I apply this formalism to discuss the partial observables of a covariant field theory and the role of the spin networks -basic objects in quantum gravity- in the classical theory.
NASA Astrophysics Data System (ADS)
Rovelli, Carlo
Hamiltonian mechanics of field theory can be formulated in a generally covariant and background independent manner over a finite dimensional extended configuration space. I study the physical symplectic structure of the theory in this framework. This structure can be defined over a space G of three-dimensional surfaces without boundary, in the extended configuration space. These surfaces provide a preferred over-coordinatization of phase space. I consider the covariant form of the Hamilton-Jacobi equation on G, and a canonical function S on G which is a preferred solution of the Hamilton-Jacobi equation. The application of this formalism to general relativity is fully covariant and yields directly the Ashtekar-Wheeler-DeWitt equation, the basic equation of canonical quantum gravity. Finally, I apply this formalism to discuss the partial observables of a covariant field theory and the role of the spin networks -basic objects in quantum gravity- in the classical theory.
Yu, W.; Choi, S. U.-S.; Energy Technology
2004-08-01
We previously developed a renovated Maxwell model for the effective thermal conductivity of nanofluids and determined that the solid/liquid interfacial layers play an important role in the enhanced thermal conductivity of nanofluids. However, this renovated Maxwell model is limited to suspensions with spherical particles. Here, we extend the Hamilton--Crosser model for suspensions of nonspherical particles to include the effect of a solid/liquid interface. The solid/liquid interface is described as a confocal ellipsoid with a solid particle. The new model for the three-phase suspensions is mathematically expressed in terms of the equivalent thermal conductivity and equivalent volume fraction of anisotropic complex ellipsoids, as well as an empirical shape factor. With a generalized empirical shape factor, the renovated Hamilton-Crosser model correctly predicts the magnitude of the thermal conductivity of nanotube-in-oil nanofluids. At present, this new model is not able to predict the nonlinear behavior of the nanofluid thermal conductivity.
High-Order Semi-Discrete Central-Upwind Schemes for Multi-Dimensional Hamilton-Jacobi Equations
NASA Technical Reports Server (NTRS)
Bryson, Steve; Levy, Doron; Biegel, Bryan (Technical Monitor)
2002-01-01
We present the first fifth order, semi-discrete central upwind method for approximating solutions of multi-dimensional Hamilton-Jacobi equations. Unlike most of the commonly used high order upwind schemes, our scheme is formulated as a Godunov-type scheme. The scheme is based on the fluxes of Kurganov-Tadmor and Kurganov-Tadmor-Petrova, and is derived for an arbitrary number of space dimensions. A theorem establishing the monotonicity of these fluxes is provided. The spacial discretization is based on a weighted essentially non-oscillatory reconstruction of the derivative. The accuracy and stability properties of our scheme are demonstrated in a variety of examples. A comparison between our method and other fifth-order schemes for Hamilton-Jacobi equations shows that our method exhibits smaller errors without any increase in the complexity of the computations.
Self-gravitation interaction of IR deformed Hořava-Lifshitz gravity via new Hamilton-Jacobi method
NASA Astrophysics Data System (ADS)
Liu, Molin; Xu, Yin; Lu, Junwang; Yang, Yuling; Lu, Jianbo; Wu, Yabo
2014-06-01
The apparent discovery of logarithmic entropies has a significant impact on IR deformed Hořava-Lifshitz (IRDHL) gravity in which the original infrared (IR) property is improved by introducing three-geometry's Ricci scalar term "μ4 R" in action. Here, we reevaluate the Hawking radiation in IRDHL by using recent new Hamilton-Jacobi method (NHJM). In particular, a thorough analysis is considered both in asymptotically flat Kehagias-Sfetsos and asymptotically non-flat Park models in IRDHL. We find the NHJM offers simplifications on the technical side. The modification in the entropy expression is given by the physical interpretation of self-gravitation of the Hawking radiation in this new Hamilton-Jacobi (HJ) perspectives.
Soravia, P.
1999-01-15
In this paper we extend to completely general nonlinear systems the result stating that the H{sub {infinity}} suboptimal control problem is solved if and only if the corresponding Hamilton-Jacobi-Isaacs (HJI) equation has a nonnegative (super)solution. This is well known for linear systems, using the Riccati equation instead of the HJI equation. We do this using the theory of differential games and viscosity solutions.
NASA Astrophysics Data System (ADS)
Hamamuki, Nao; Nakayasu, Atsushi; Namba, Tokinaga
2015-12-01
We study a cell problem arising in homogenization for a Hamilton-Jacobi equation whose Hamiltonian is not coercive. We introduce a generalized notion of effective Hamiltonians by approximating the equation and characterize the solvability of the cell problem in terms of the generalized effective Hamiltonian. Under some sufficient conditions, the result is applied to the associated homogenization problem. We also show that homogenization for non-coercive equations fails in general.
NASA Astrophysics Data System (ADS)
Popova, E. P.
2015-08-01
A two-dimensional model for an αΩ-dynamo is constructed, taking into account meridional flows. A Hamilton-Jacobi equation for the resulting system of magnetic-field generation equatons is constructed using an asymptotic method analogous to the WKB method. This equation makes it possible to analytically study the influence of meridional flows on the duration of the solar magnetic-activity cycle and the evolution of magnetic waves.
Reid, Janem; Arcese, Peter; Cassidy, Alicel E V; Marr, Amyb; Smith, Jamesn M; Keller, Lukasf
2005-03-01
Hamilton and Zuk's influential hypothesis of parasite-mediated sexual selection proposes that exaggerated secondary sexual ornaments indicate a male's addictive genetic immunity to parasites. However, genetic correlated of ornaments and immunity have rarely been explicitly identified. Evidence supporting Hamilton and Zuk's hypothesis has instead been gathered by looking for positive phenotypic correlations between ornamentation and immunity; such correlations are assumed to reflect causal, addictive relationships between these traits. We show that in a song sparrows, Melospiza melodia, male's song repertoire size, a secondary sexual trait, increased with his cell-mediated immune response (CMI) to an experimental challenge. However, this phenotypic correlation could be explained because both repertoire size and CMI declined with a male's inbreeding level. Repertoire size therefore primarily indicated a male's relative heterozygosity, a non-addictive genetic predictor of immunity. Caution may therefore be required when interpreting phenotypic correlations as support for Hamilton and Zuk's addictive model of sexual selection. However, our results suggest that female song sparrows choosing with large repertoires would on average acquire more outbred and therefore more heterozygous mates. Such genetic dominance effects on ornamentation are likely to influence evolutionary trajectories of female choice, and should be explicitly incorporated into genetic models of sexual selection. PMID:15799943
Worboys, Michael
2013-01-01
Objectives: To show why and how the Hamilton Rating Scale for Depression became the ‘Gold Standard’ for assessing therapies from the mid-1960s and how it was used to frame depression as a short-term and curable illness rather than a chronic one. Methods: My approach is that of the social construction of knowledge, identifying the interests, institutional contexts and practices that produce knowledge claims and then mapping the social processes of their circulation, validation and acceptance. Results: The circulation and validation of Hamilton Rating Scale for Depression was relatively slow and it became a ‘Gold Standard’ ‘from below’, from an emerging consensus amongst psychiatrists undertaking clinical trials for depression, which from the 1960s were principally with psychopharmaceuticals for short-term illness. Hamilton Rating Scale for Depression, drug trials and the construction of depression as non-chronic were mutually constituted. Discussion: Hamilton Rating Scale for Depression framed depression and its sufferers in new ways, leading psychiatrists to understand illness as a treatable episode, rather than a life course condition. As such, Hamilton Rating Scale for Depression served the interests of psychiatrists and psychiatry in its new era of drug therapy outside the mental hospital. However, Hamilton Rating Scale for Depression was a strange kind of ‘standard’, being quite non-standard in the widely varying ways it was used and the meanings given to its findings. PMID:23172888
NASA Astrophysics Data System (ADS)
Potoglou, Dimitrios
The focus of this thesis is twofold. First, it offers insight on how households' car-ownership behaviour is affected by urban form and availability of local-transit at the place of residence, after controlling for socio-economic and demographic characteristics. Second, it addresses the importance of vehicle attributes, household and individual characteristics as well as economic incentives and urban form to potential demand for alternative fuelled vehicles. Data for the empirical analyses of the aforementioned research activities were obtained through an innovative Internet survey, which is also documented in this thesis, conducted in the Census Metropolitan Area of Hamilton. The survey included a retrospective questionnaire of households' number and type of vehicles and a stated choices experiment for assessing the potential demand for alternative fuelled vehicles. Established approaches and emerging trends in automobile demand modelling identified early on in this thesis suggest a disaggregate approach and specifically, the estimation of discrete choice models both for explaining car ownership and vehicle-type choice behaviour. It is shown that mixed and diverse land uses as well as short distances between home and work are likely to decrease the probability of households to own a large number of cars. Regarding the demand for alternative fuelled vehicles, while vehicle attributes are particularly important, incentives such as free parking and access to high occupancy vehicle lanes will not influence the choice of hybrids or alternative fuelled vehicles. An improved understating of households' behaviour regarding the number of cars as well as the factors and trade-offs for choosing cleaner vehicles can be used to inform policy designed to reduce car ownership levels and encourage adoption of cleaner vehicle technologies in urban areas. Finally, the Internet survey sets the ground for further research on implementation and evaluation of this data collection method.
Hydrology of the Cave Springs area near Chattanooga, Hamilton County, Tennessee
Bradfield, Arthur D.
1992-01-01
The hydrology of Cave Springs, the second largest spring in East Tennessee,was investigated from July 1987 to September 1989. Wells near the spring supply about 5 million gallons per day of potable water to people in Hamilton County near Chattanooga. Discharge from the spring averaged about 13.5 cubic feet per second (8.72 million gallons per day) during the study period. Withdrawals by the Hixson Utility District from wells upgradient from the outflow averaged 8.6 cubic feet per second (5.54 million gallons per day). Aquifer tests using wells intersecting a large solution cavity supplying water to the spring showed a drawdown of less than 3 feet with a discharge of 9,000 gallons per minute or 20 cubic feet per second. Temperature and specific conductance of ground water near the spring outflow were monitored hourly. Temperatures ranged from 13.5 to 18.2 degrees celsius, and fluctuated seasonally in response to climate. Specific-conductance values ranged from 122 to 405 microsiemens per centimeter at 25 degrees Celsius, but were generally between 163 to 185 microsiemensper centimeter. The drainage area of the basin recharging the spring system was estimated to be 1O squaremiles. A potentiometric map of the recharge basin was developed from water levels measured at domestic and test wells in August 1989. Aquifer tests at five test wells in the study area indicated that specific-capacity values for these wells ranged from 4.1 to 261 gallons per minute per foot of drawdown. Water-quality characteristics of ground water in the area were used in conjunction with potentiometric-surface maps to delineate the approximate area contributing recharge to Cave Springs.
Roberts, M.J.; Pryor, W.A.
1985-02-01
The Spar Mountain Member of the Ste. Genevieve Limestone (middle Mississippian) in Hamilton County, Illinois, consists of 40-60 ft (12-18 m) of interbedded limestones, shales, and sandstones. Five cores and 1400 electric logs were used to delineate two shallowing-upward carbonate cycles and 2 major clastic pulses within the Spar Mountain. Eight lithofacies representing 6 depositional environments were identified. They are: (A) echinoderm-brachiopod dolostone to packstone (outer ramp), (B) ooid-peloidal grainstone (intermediate ramp), (C) skeletal grainstone (intermediate ramp), (D) ooid-molluscan-intraclastic wackestone to grainstone (inner ramp), (E) pelletal-skeletal wackestone (inner ramp), (F) quartzarenite (channelized nearshore), (G) quartz-sublithic arenite to wacke (delta platform), and (H) quartz mudstone (prodelta, delta platform). Deposition occurred on a southwest-dipping carbonate ramp, with siliciclastic sediments originating from the northeast. The sequence of facies and their inferred depositional environments record 2 major progradational episodes. Oolitic facies are interpreted to be of tidal-bar belt origin and quartzarenite facies are interpreted to be of delta-distributary channel origin. Their distribution is partially controlled by antecedent and syndepositional topography. Many of these paleotopographic highes are positive features today and yield pinch-out stratigraphic relationships. Paleogeographic reconstructions demonstrate that the primary control on facies distribution was the position of the delta proper along strike. However, depositional topography also influenced sedimentation, particularly in the sand-sized fraction. Using this concept, better prediction of underlying porous buildups (ooid shoals) is possible if thickness of the overlying siliciclastic is known. Within buildups, a complex diagenetic history complicates the distribution of porosity.
New examples of Hamilton-minimal and minimal Lagrangian manifolds in C{sup n} and CP{sup n}
Mironov, A E
2004-02-28
A new method is proposed for constructing Hamilton-minimal and minimal Lagrangian immersions and embeddings of manifolds in C{sup n} and in CP{sup n}. In particular, using this method it is possible to construct embeddings of manifolds such as the (2n+1)-dimensional generalized Klein bottle K{sup 2n+1}, S{sup 2n+1}xS{sup 1}, K{sup 2n+1}xS{sup 1}, S{sup 2n+1}xS{sup 1}xS{sup 1}, and others.
Ginsberg, Jerry H
2010-05-01
Hamilton's principle for dynamic systems is adapted to describe the coupled response of a confined acoustic domain and an elastic structure that forms part or all of the boundary. A key part of the modified principle is the treatment of the surface traction as a Lagrange multiplier function that enforces continuity conditions at the fluid-solid interface. The structural displacement, fluid velocity potential, and traction are represented by Ritz series, where the usage of the velocity potential as the state variable for the fluid assures that the flow is irrotational. Designation of the coefficients of the potential function series as generalized velocities leads to corresponding series representations of the particle velocity, displacement, and pressure in the fluid, which in turn leads to descriptions of the mechanical energies and virtual work. Application of the calculus of variations to Hamilton's principle yields linear differential-algebraic equations whose form is identical to those governing mechanical systems that are subject to nonholonomic kinematic constraints. Criteria for selection of basis functions for the various Ritz series are illustrated with an example of a rectangular cavity bounded on one side by an elastic plate and conditions that change discontinuously on other sides. PMID:21117723
NASA Astrophysics Data System (ADS)
Salisbury, Donald; Renn, Jürgen; Sundermeyer, Kurt
2016-02-01
Classical background independence is reflected in Lagrangian general relativity through covariance under the full diffeomorphism group. We show how this independence can be maintained in a Hamilton-Jacobi approach that does not accord special privilege to any geometric structure. Intrinsic space-time curvature-based coordinates grant equal status to all geometric backgrounds. They play an essential role as a starting point for inequivalent semiclassical quantizations. The scheme calls into question Wheeler’s geometrodynamical approach and the associated Wheeler-DeWitt equation in which 3-metrics are featured geometrical objects. The formalism deals with variables that are manifestly invariant under the full diffeomorphism group. Yet, perhaps paradoxically, the liberty in selecting intrinsic coordinates is precisely as broad as is the original diffeomorphism freedom. We show how various ideas from the past five decades concerning the true degrees of freedom of general relativity can be interpreted in light of this new constrained Hamiltonian description. In particular, we show how the Kuchař multi-fingered time approach can be understood as a means of introducing full four-dimensional diffeomorphism invariants. Every choice of new phase space variables yields new Einstein-Hamilton-Jacobi constraining relations, and corresponding intrinsic Schrödinger equations. We show how to implement this freedom by canonical transformation of the intrinsic Hamiltonian. We also reinterpret and rectify significant work by Dittrich on the construction of “Dirac observables.”
Kovach, Ryan P.; Luikart, Gordon; Lowe, Winsor H.; Boyer, Matthew C.; Muhlfeld, Clint C.
2016-01-01
Hamilton and Miller (2016) provide an interesting and provocative discussion of how hybridization and introgression can promote evolutionary potential in the face of climate change. They argue that hybridization—mating between individuals from genetically distinct populations—can alleviate inbreeding depression and promote adaptive introgression and evolutionary rescue. We agree that deliberate intraspecific hybridization (mating between individuals of the same species) is an underused management tool for increasing fitness in inbred populations (i.e., genetic rescue; Frankham 2015; Whiteley et al. 2015). The potential risks and benefits of assisted gene flow have been discussed in the literature, and an emerging consensus suggests that mating between populations isolated for approximately 50–100 generations can benefit fitness, often with a minor risk of outbreeding depression (Frankham et al. 2011; Aitken & Whitlock 2013; Allendorf et al. 2013).
Sakalli, I. Mirekhtiary, S. F.
2013-10-15
Hawking radiation of a non-asymptotically flat 4-dimensional spherically symmetric and static dilatonic black hole (BH) via the Hamilton-Jacobi (HJ) method is studied. In addition to the naive coordinates, we use four more different coordinate systems that are well-behaved at the horizon. Except for the isotropic coordinates, direct computation by the HJ method leads to the standard Hawking temperature for all coordinate systems. The isotropic coordinates allow extracting the index of refraction from the Fermat metric. It is explicitly shown that the index of refraction determines the value of the tunneling rate and its natural consequence, the Hawking temperature. The isotropic coordinates in the conventional HJ method produce a wrong result for the temperature of the linear dilaton. Here, we explain how this discrepancy can be resolved by regularizing the integral possessing a pole at the horizon.
2005-01-01
Noninvasive cardiac computed tomographic imaging using multislice or electron beam technology has been shown to be highly specific and sensitive in diagnosing coronary heart disease. It is about a fifth of the cost of coronary angiography and is particularly well suited for evaluating patients with a low or low to moderate probability of having obstructive coronary atherosclerosis. In addition, it offers more information than calcium scoring: because of the intravenous contrast used, it temporarily increases the density of the lumen and allows differentiation of soft plaque from calcified plaque. The Baylor Hamilton Heart and Vascular Hospital now uses this modality to define coronary atherosclerosis in patients who would otherwise have needed invasive coronary angiography; several research protocols with the technique are also under way. Baylor has recently upgraded to the 64-slice scanner. It is expected that computed tomographic coronary angiography will replace a significant percentage of invasive cardiac catheterizations. PMID:16200178
NASA Astrophysics Data System (ADS)
Sakalli, I.; Mirekhtiary, S. F.
2013-10-01
Hawking radiation of a non-asymptotically flat 4-dimensional spherically symmetric and static dilatonic black hole (BH) via the Hamilton-Jacobi (HJ) method is studied. In addition to the naive coordinates, we use four more different coordinate systems that are well-behaved at the horizon. Except for the isotropic coordinates, direct computation by the HJ method leads to the standard Hawking temperature for all coordinate systems. The isotropic coordinates allow extracting the index of refraction from the Fermat metric. It is explicitly shown that the index of refraction determines the value of the tunneling rate and its natural consequence, the Hawking temperature. The isotropic coordinates in the conventional HJ method produce a wrong result for the temperature of the linear dilaton. Here, we explain how this discrepancy can be resolved by regularizing the integral possessing a pole at the horizon.
High-Order Semi-Discrete Central-Upwind Schemes for Multi-Dimensional Hamilton-Jacobi Equations
NASA Technical Reports Server (NTRS)
Bryson, Steve; Levy, Doron; Biegel, Bran R. (Technical Monitor)
2002-01-01
We present high-order semi-discrete central-upwind numerical schemes for approximating solutions of multi-dimensional Hamilton-Jacobi (HJ) equations. This scheme is based on the use of fifth-order central interpolants like those developed in [1], in fluxes presented in [3]. These interpolants use the weighted essentially nonoscillatory (WENO) approach to avoid spurious oscillations near singularities, and become "central-upwind" in the semi-discrete limit. This scheme provides numerical approximations whose error is as much as an order of magnitude smaller than those in previous WENO-based fifth-order methods [2, 1]. Thee results are discussed via examples in one, two and three dimensions. We also pregnant explicit N-dimensional formulas for the fluxes, discuss their monotonicity and tl!e connection between this method and that in [2].
NASA Astrophysics Data System (ADS)
Rahman, M. Atiqur; Hossain, M. Ilias
2013-06-01
The massive particles tunneling method has been used to investigate the Hawking non-thermal and purely thermal radiations of Schwarzschild Anti-de Sitter (SAdS) black hole. Considering the spacetime background to be dynamical, incorporate the self-gravitation effect of the emitted particles the imaginary part of the action has been derived from Hamilton-Jacobi equation. Using the conservation laws of energy and angular momentum we have showed that the non-thermal and purely thermal tunneling rates are related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal spectrum. The result obtained for SAdS black hole is also in accordance with Parikh and Wilczek's opinion and gives a correction to the Hawking radiation of SAdS black hole.
NASA Astrophysics Data System (ADS)
Maoh, Hanna; Kanaroglou, Pavlos
2007-09-01
We present a microanalytical firm mobility model for the City of Hamilton, Canada, developed with data from the Statistics Canada Business Register. Contributing to the scarce literature on firm migration behavior, we explore and model the determinants of mobility among small and medium size firms who retained less than 200 employees between 1996 and 1997. Our exploratory results suggest that short distance moves are more common and tend to occur among smaller firms. Econometric modeling results support these assertions and indicate that the willingness to move can be explained by a firm’s internal characteristics (e.g. age, size, growth and industry type) as well as location factors related to the urban environment where the firm is located. The modeling results will serve as input for the development of an agent-based firmographic decision support system that can be used to inform the planning process in the study area.
Scott, John D; Anderson, John F; Durden, Lance A; Smith, Morgan L; Manord, Jodi M; Clark, Kerry L
2016-01-01
Lyme disease has emerged as a major health concern in Canada, where the etiological agent, Borrelia burgdorferi sensu lato (s.l.), a spirochetal bacterium, is typically spread by the bite of certain ticks. This study explores the presence of B. burgdorferi s.l. in blacklegged ticks, Ixodes scapularis, collected at Dundas, Ontario (a locality within the region of Hamilton-Wentworth). Using passive surveillance, veterinarians and pet groomers were asked to collect blacklegged ticks from dogs and cats with no history of travel. Additionally, I. scapularis specimens were submitted from local residents and collected by flagging. Overall, 12 (41%) of 29 blacklegged ticks were infected with B. burgdorferi s.l. Using polymerase chain reaction (PCR) and DNA sequencing, two borrelial amplicons were characterized as B. burgdorferi sensu stricto (s.s.), a genospecies pathogenic to humans and certain domestic animals. Notably, three different vertebrate hosts each had two engorged I. scapularis females removed on the same day and, likewise, one cat had three repeat occurrences of this tick species. These multiple infestations suggest that a population of I. scapularis may be established in this area. The local public health unit has been underreporting the presence of B. burgdorferi s.l.-infected I. scapularis in the area encompassing Dundas. Our findings raise concerns about the need to erect tick warning signs in parkland areas. Veterinarians, medical professionals, public health officials, and the general public must be vigilant that Lyme disease-carrying blacklegged ticks pose a public health risk in the Dundas area and the surrounding Hamilton-Wentworth region. PMID:27226771
Bechtel, B.; Mayer, L. . Dept. of Geology)
1993-03-01
The movement of water through fill material and natural colluvium in a cut slope is being monitored at two sites with past landslide activity adjacent to I-275 in Hamilton County, Ohio. Quadrilaterals and an array of wooden stakes were placed immediately adjacent to the slide area to monitor movement of the slope at Site 1. To correlate any movement with soil moisture levels, rain gauges were installed. Changes in line-length measurements over a 3-month period are < 14 mm, and most differences average about 4 mm. Since measurement errors of up to 5--6 mm can be expected using a steel tape, more measurements over time will be needed to determine if significant displacement is occurring. Tensiometers were placed at 12 and 36 inches depth in the soil from mid-September through early November 1992, in order to measure matric suction. The 36 inch tensiometer indicated that the soil remained saturated at that depth. The 12 inch tensiometer measured 8 centibars, which occurred following a week of rain-free weather. Gravimetric measurements of soil samples show that surface soil moisture ranges from 14--39% immediately following a storm to 7--29% following at least 10 days of dry weather. At Site 2, quadrilaterals were set up in mid-August 1992; resurveys of the quadrilaterals shows very little, if any, movement. Movement of 38 mm occurred in one quadrilateral; movement in other quadrilaterals averaged close to 5 mm. The slide is not steadily moving, and may be following a pattern, where slides in Hamilton County were more likely to move in late winter or early spring.
Scott, John D.; Anderson, John F.; Durden, Lance A.; Smith, Morgan L.; Manord, Jodi M.; Clark, Kerry L.
2016-01-01
Lyme disease has emerged as a major health concern in Canada, where the etiological agent, Borrelia burgdorferi sensu lato (s.l.), a spirochetal bacterium, is typically spread by the bite of certain ticks. This study explores the presence of B. burgdorferi s.l. in blacklegged ticks, Ixodes scapularis, collected at Dundas, Ontario (a locality within the region of Hamilton-Wentworth). Using passive surveillance, veterinarians and pet groomers were asked to collect blacklegged ticks from dogs and cats with no history of travel. Additionally, I. scapularis specimens were submitted from local residents and collected by flagging. Overall, 12 (41%) of 29 blacklegged ticks were infected with B. burgdorferi s.l. Using polymerase chain reaction (PCR) and DNA sequencing, two borrelial amplicons were characterized as B. burgdorferi sensu stricto (s.s.), a genospecies pathogenic to humans and certain domestic animals. Notably, three different vertebrate hosts each had two engorged I. scapularis females removed on the same day and, likewise, one cat had three repeat occurrences of this tick species. These multiple infestations suggest that a population of I. scapularis may be established in this area. The local public health unit has been underreporting the presence of B. burgdorferi s.l.-infected I. scapularis in the area encompassing Dundas. Our findings raise concerns about the need to erect tick warning signs in parkland areas. Veterinarians, medical professionals, public health officials, and the general public must be vigilant that Lyme disease-carrying blacklegged ticks pose a public health risk in the Dundas area and the surrounding Hamilton-Wentworth region. PMID:27226771
NASA Astrophysics Data System (ADS)
Molnár, Orsolya; Bajer, Katalin; Mészáros, Boglárka; Török, János; Herczeg, Gábor
2013-06-01
During female mate choice, conspicuous male sexual signals are used to infer male quality and choose the best sire for the offspring. The theory of parasite-mediated sexual selection (Hamilton-Zuk hypothesis) presumes that parasite infection can influence the elaboration of sexual signals: resistant individuals can invest more energy into signal expression and thus advertise their individual quality through signal intensity. By preferring these males, females can provide resistance genes for their offspring. Previous research showed that nuptial throat colour of male European green lizard, Lacerta viridis, plays a role in both inter- and intrasexual selections as a condition-dependent multiple signalling system. The aim of this study was to test the predictions of the Hamilton-Zuk hypothesis on male European green lizards. By blood sampling 30 adult males during the reproductive season, we found members of the Haemogregarinidae family in all but one individual (prevalence = 96 %). The infection intensity showed strong negative correlation with the throat and belly colour brightness in line with the predictions of the Hamilton-Zuk hypothesis. In addition, we found other correlations between infection intensity and other fitness-related traits, suggesting that parasite load has a remarkable effect on individual fitness. This study shows that throat patch colour of the European green lizards not only is a multiple signalling system but also possibly acts as an honest sexual signal of health state in accordance with the Hamilton-Zuk hypothesis.
Swenson, Sarah A
2015-12-01
W.D. Hamilton's theory of inclusive fitness saw the evolution of altruism from the point of view of the gene. It was at heart a theory of limits, redefining altruistic behaviours as ultimately selfish. This theory inspired two controversial texts published almost in tandem, E.O. Wilson's Sociobiology: The New Synthesis (1975) and Richard Dawkins's The Selfish Gene (1976). When Wilson and Dawkins were attacked for their evolutionary interpretations of human societies, they claimed a distinction between reporting what is and declaring what ought to be. Can the history of sociobiological theories be so easily separated from its sociopolitical context? This paper draws upon unpublished materials from the 1960s and early 1970s and documents some of the ways in which Hamilton saw his research as contributing to contemporary concerns. It pays special attention to the 1969 Man and Beast Smithsonian Institution symposium in order to explore the extent to which Hamilton intended his theory to be merely descriptive versus prescriptive. From this, we may see that Hamilton was deeply concerned about the political chaos he perceived in the world around him, and hoped to arrive at a level of self-understanding through science that could inform a new social order. PMID:26530161
Molnár, Orsolya; Bajer, Katalin; Mészáros, Boglárka; Török, János; Herczeg, Gábor
2013-06-01
During female mate choice, conspicuous male sexual signals are used to infer male quality and choose the best sire for the offspring. The theory of parasite-mediated sexual selection (Hamilton-Zuk hypothesis) presumes that parasite infection can influence the elaboration of sexual signals: resistant individuals can invest more energy into signal expression and thus advertise their individual quality through signal intensity. By preferring these males, females can provide resistance genes for their offspring. Previous research showed that nuptial throat colour of male European green lizard, Lacerta viridis, plays a role in both inter- and intrasexual selections as a condition-dependent multiple signalling system. The aim of this study was to test the predictions of the Hamilton-Zuk hypothesis on male European green lizards. By blood sampling 30 adult males during the reproductive season, we found members of the Haemogregarinidae family in all but one individual (prevalence = 96%). The infection intensity showed strong negative correlation with the throat and belly colour brightness in line with the predictions of the Hamilton-Zuk hypothesis. In addition, we found other correlations between infection intensity and other fitness-related traits, suggesting that parasite load has a remarkable effect on individual fitness. This study shows that throat patch colour of the European green lizards not only is a multiple signalling system but also possibly acts as an honest sexual signal of health state in accordance with the Hamilton-Zuk hypothesis. PMID:23644520
Grover, Patrick J; Jayaram, Raja; Madder, Hilary
2010-12-01
We describe a case of cerebral venous thrombosis presenting in a patient with Lane-Hamilton syndrome and coeliac disease epilepsy cerebral calcification syndrome. This is a first reported occurrence of this combination. Delayed anticoagulation with early external ventricular drain insertion for life-threatening raised intracranial pressure resulted in a successful outcome. PMID:21070152
ERIC Educational Resources Information Center
Torres, Judith A.; And Others
Project ELITES provides bilingual education to 307 Spanish-speaking, Arabic-speaking, and Greek-speaking students at Fort Hamilton High School, Brooklyn, New York. Project ELITES's philosophy is to mainstream students after two years of participation. The program's individualized approach is obtained through a 3-tiered instructional format:…
1996-12-01
This decision document presents the selected remedial action for Operable Unit 5 of the FEMP site in Hamilton and Butler Counties, Ohio. Operable Unit 5 consists of impacted environmental media including groundwater in the underlying Great Miami Aquifer, perched groundwater, surface water, soil, sediment, flora, and fauna.
Sahoo, Tapasa Kumar; Jena, Prasant Kumar; Patel, Amiya Kumar; Seshadri, Sriram
2015-09-01
Bacterial infections causing fish diseases and spoilage during fish food processing and storage are major concerns in aquaculture. Use of bacteriocins has recently been considered as an effective strategy for prevention of bacterial infections. A novel bacteriocin produced by Catla catla gut isolates, Lactobacillus animalis TSU4, designated as bacteriocin TSU4 was purified to homogeneity by a three-step protocol. The molecular mass of bacteriocin TSU4 was 4117 Da determined by Q-TOF LC/MS analysis. Its isoelectric point was ~9. Secondary conformation obtained by circular dichroism spectroscopy showed molecular conformation with significant proportions of the structure in α-helix (23.7 %) and β-sheets (17.1 %). N-terminal sequencing was carried out by the Edman degradation method; partial sequence identified was NH2-SMSGFSKPHD. Bacteriocin TSU4 exhibited a wide range of antimicrobial activity, pH and thermal stability. It showed a bacteriocidal mode of action against the indicator strain Aeromonas hydrophila MTCC 646. Bacteriocin TSU4 is the first reported bacteriocin produced by fish isolate Lactobacillus animalis. The characterization of bacteriocin TSU4 suggested that it is a novel bacteriocin with potential value against infections of bacteria such as A. hydrophila MTCC 646 and Pseudomonas aeruginosa MTCC 1688 and application to prevent spoilage during food preservation. PMID:26245257
Mehta, Naresh Kumar; Elavarasan, K; Reddy, A Manjunatha; Shamasundar, B A
2014-04-01
In the present study the effect of ice storage on physico-chemical and functional properties of proteins from Indian major carps with special emphasis on gel forming ability have been assessed for a period of 22 days. The solubility profile of proteins in high ionic strength buffer and calcium adenosine triphosphatase (ATPase) enzyme activity reduced significantly (p < 0.05), while that of total volatile base nitrogen (TVB-N) increased significantly (p < 0.05) at the end of 22 days of ice storage. The major protein fraction showed association-dissociation-denaturation phenomenon during ice storage as revealed by gel filtration profile and viscosity measurements. The gel forming ability of three fish species both in fresh and during different periods of ice storage was assessed by measuring the gel strength of heat induced gel. Among the three species the gel strength of the gel obtained from Catla catla and Cirrhinus mrigala was higher (586 and 561 g.cm) than the gel obtained from Labeo rohita (395 g.cm) in fresh condition. The gel forming ability of three species was significantly affected (p < 0.05) during ice storage. The TVB-N values of fish meat as a function of ice storage was within the prescribed limit up to 17 days of the ice storage. PMID:24741158
Genetic fragmentation in India's third longest river system, the Narmada.
Khedkar, Gulab D; Jamdade, Rahul; Kalyankar, Amol; Tiknaik, Anita; Ron, Tetsuzan Benny; Haymer, David
2014-01-01
India's third longest river, the Narmada, is studied here for the potential effects on native fish populations of river fragmentation due to various barriers including dams and a waterfall. The species we studied include a cyprinid fish, Catla catla, and a mastacembelid, Mastacembelus armatus, both of which are found in the Narmada. Our goal was to use DNA sequence information from the D-loop region of the mitochondrial DNA to explore how this fragmentation could impact the genetic structure of these fish populations. Our results clearly show that these barriers can contribute to the fragmentation of the genetic structure of these fish communities, Furthermore, these barriers enhance the effects of natural isolation by distance and the asymmetry of dispersal flows. This may be a slow process, but it can create significant isolation and result in genetic disparity. In particular, populations furthest upstream having low migration rates could be even more subject to genetic impoverishment. This study serves as a first report of its kind for a river system on the Indian subcontinent. The results of this study also emphasize the need for appropriate attention towards the creation of fish passages across the dams and weirs that could help in maintaining biodiversity. PMID:25126486
2014-01-01
Background To investigate the association between frailty index (FI) of deficit accumulation and risk of falls, fractures, death and overnight hospitalizations in women aged 55 years and older. Methods The data were from the Global Longitudinal Study of Osteoporosis in Women (GLOW) Hamilton Cohort. In this 3-year longitudinal, observational cohort study, women (N = 3,985) aged ≥55 years were enrolled between May 2008 and March 2009 in Hamilton, Canada. A FI including co-morbidities, activities of daily living, symptoms and signs, and healthcare utilization was constructed using 34 health deficits at baseline. Relationship between the FI and falls, fractures, death and overnight hospitalizations was examined. Results The FI was significantly associated with age, with a mean rate of deficit accumulation across baseline age of 0.004 or 0.021 (on a log scale) per year. During the third year of follow-up, 1,068 (31.89%) women reported at least one fall. Each increment of 0.01 on the FI was associated with a significantly increased risk of falls during the third year of follow-up (odds ratio [OR]: 1.02, 95% confidence interval [CI]: 1.02-1.03). The area under the curve (AUC) of the predictive model was 0.69 (95% CI: 0.67-0.71). Results of subgroup and sensitivity analyses indicated the relationship between the FI and risk of falls was robust, while bootstrap analysis judged its internal validation. The FI was significantly related to fractures (hazard ratio [HR]: 1.02, 95% CI: 1.01-1.03), death (OR: 1.05, 95% CI: 1.03-1.06) during the 3-year follow-up period and overnight hospitalizations (incidence rate ratio [IRR]: 1.02, 95% CI: 1.02-1.03) for an increase of 0.01 on the FI during the third year of follow-up. Measured by per standard deviation (SD) increment of the FI, the ORs were 1.21 and 1.40 for falls and death respectively, while the HR was 1.17 for fractures and the IRR was 1.18 for overnight hospitalizations respectively. Conclusion The FI of deficit
Singh, Rajeev K; Lal, Kuldeep K; Mohindra, Vindhya; Sah, Rama S; Kumar, Rajesh; Jena, J K
2016-09-01
We characterized mitochondrial ATP synthase (ATPase) 6 and 8 genes in Labeo calbasu (Hamilton, 1822) and determined genetic variation in wild populations across the natural distribution in Indian rivers. A total of 206 individuals were sampled from 11 riverine sites belonging to distinct geographical locations covering five major river basins. Sequencing of 842 base pairs of ATPase 6/8 revealed 21 haplotypes with haplotype diversity ranging from 0.1250 (River Satluj) to 0.8846 (River Bhagirathi). Analysis of molecular variance (AMOVA) of mitochondrial DNA (mtDNA) data revealed significant genetic differentiation among sites (FST = 0.192, p < 0.0001) which was indicative of moderate level of genetic structuring in the wild L. calbasu populations. The patterns of genetic divergence and haplotype network of mtDNA revealed distinct clades present in Indian rivers. The analysis of data demonstrated the potential of ATPase 6/8 genes in determining the genetic diversity and indicated considerable sub-structuring in wild calbasu populations present in different rivers. PMID:25630739
Cussen, Victoria A; Mench, Joy A
2014-07-01
Psittacines are generally considered to possess cognitive abilities comparable to those of primates. Most psittacine research has evaluated performance on standardized complex cognition tasks, but studies of basic cognitive processes are limited. We tested orange-winged Amazon parrots (Amazona amazonica) on a spatial foraging assessment, the Hamilton search task. This task is a standardized test used in human and non-human primate studies. It has multiple phases, which require trial and error learning, learning set breaking, and spatial memory. We investigated search strategies used to complete the task, cognitive flexibility, and long-term memory for the task. We also assessed the effects of individual strength of motor lateralization (foot preference) and sex on task performance. Almost all (92%) of the parrots acquired the task. All had significant foot preferences, with 69% preferring their left foot, and showed side preferences contralateral to their preferred limb during location selection. The parrots were able to alter their search strategies when reward contingencies changed, demonstrating cognitive flexibility. They were also able to remember the task over a 6-month period. Lateralization had a significant influence on learning set acquisition but no effect on cognitive flexibility. There were no sex differences. To our knowledge, this is the first cognitive study using this particular species and one of the few studies of cognitive abilities in any Neotropical parrot species. PMID:24370681
Saraswat, Darpan; Lakra, W S; Nautiyal, Prakash; Goswami, Mukunda; Shyamakant, Komal; Malakar, Abhishekh
2014-02-01
Clupisoma garua (Hamilton, 1822) is a commercially important freshwater fish and a potential candidate species for aquaculture. This study investigates the genetic diversity and population structure of six Indian populations of C. garua using cytochrome b (cyt b) sequences of mitochondrial DNA (mtDNA). We sequenced cyt b gene of 64 individuals collected from five distant rivers: Ganga, Gomti, Betwa, Gandak and Brahmaputra. Sequencing of 1054 bp cyt b mtDNA fragment revealed the presence of 19 haplotypes with a haplotype diversity value of 1.000 and a nucleotide diversity value of 0.0258 ± 0.00164. The Gandak river fish population showed highest nucleotide diversity. The fixation index analysis indicated significant genetic divergence among populations from different geographical areas. Both the neighbor-joining tree and median-joining network analysis of the haplotype data showed distinct patterns of phylo-geographic structure. The hierarchical analysis of molecular variance revealed that intra-group variation among populations was highly significant. The results of this study suggest that C. garua populations, especially geographically isolated groups, have developed significant genetic structures within the population. In addition, tests of neutrality suggest that C. garua may have experienced a population expansion. The study results establish cyt b as polymorphic and a potential marker to determine the population structure of C. garua. Information of genetic variation and population structure generated from this study would be useful for planning effective strategies for the conservation and rehabilitation of Schilibid cat fishes. PMID:23676141
Mondal, Debashri; Barat, Sudip; Mukhopadhyay, M K
2007-01-01
Static renewal bioassay tests were conducted to evaluate the acute toxicity of two neem based biopesticides, applied widely on tea plantation namely, Nimbecidine and Neem Gold either separately as well as, in combination to the fingerlings (mean body length- 4.46 +/- 0.15 cm; mean body weight- 0.49 +/- 0.15g) of a fresh water loach, Lepidocephalichthys guntea (Hamilton Buchanan) acclimatized to laboratory conditions prior to experiment. The 96 hours LC50 values for Nimbecidine and Neem Gold and the combination of the two were 0.0135 mgl(-1), 0.0525mgl(-1) and 0.0396 mgl(-1), respectively. The regular water quality analysis showed, that with increasing doses of biopesticides, dissolved oxygen level was lower and other parameters like pH, free carbon dioxide, total alkalinity total hardness, chloride ions of water increased. The fish under toxicity stress suffered several abnormalities such as erratic and rapid movement, body imbalance and surface floating responding proportionately to the increase in concentrations of the toxicant biopesticides. The 96 hours LC50 values proved Nimbecidine more toxic than Neem Gold and the combination of the two biopesticides. PMID:17717997