82 resultados para Melnikov-holmes-marsden (mhm) Integrals


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Exch~nge energy of the He-He system is calculated using the one-density matrix which has been modified according to the supermolecular density formula quoted by Kolos. The exchange energy integrals are computed analytically and by the Monte Carlo method. The results obtained from both ways compared favourably,with the results obtained from the SCF program HONDO

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Four problems of physical interest have been solved in this thesis using the path integral formalism. Using the trigonometric expansion method of Burton and de Borde (1955), we found the kernel for two interacting one dimensional oscillators• The result is the same as one would obtain using a normal coordinate transformation, We next introduced the method of Papadopolous (1969), which is a systematic perturbation type method specifically geared to finding the partition function Z, or equivalently, the Helmholtz free energy F, of a system of interacting oscillators. We applied this method to the next three problems considered• First, by summing the perturbation expansion, we found F for a system of N interacting Einstein oscillators^ The result obtained is the same as the usual result obtained by Shukla and Muller (1972) • Next, we found F to 0(Xi)f where A is the usual Tan Hove ordering parameter* The results obtained are the same as those of Shukla and Oowley (1971), who have used a diagrammatic procedure, and did the necessary sums in Fourier space* We performed the work in temperature space• Finally, slightly modifying the method of Papadopolous, we found the finite temperature expressions for the Debyecaller factor in Bravais lattices, to 0(AZ) and u(/K/ j,where K is the scattering vector* The high temperature limit of the expressions obtained here, are in complete agreement with the classical results of Maradudin and Flinn (1963) .

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The purpose of this study was to examine the associations between bone speed of sound (SOS) and body composition, osteoporosis-related health behaviours, and socioeconomic status (SES) in adolescent females. A total of 442 adolescent females in grades 9-11 participated. Anthropometric measures of height, body mass, and percent body fat were taken, and osteo-protective behaviours such as oral contraceptive use (OC), physical activity and daily calcium intake were evaluated using self-report questionnaires. Bone SOS was measured by transaxial quantitative ultrasound (QUS) at the distal radius and mid-tibia. The results suggest that fat mass is a significant negative predictor of tibial SOS, while lean mass is positively associated with radial SOS scores and calcium intake was positively associated with tibial SOS scores (p

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Survey map of the Second Welland Canal created by the Welland Canal Company showing the border area of the townships of Crowland and Humberstone, as well as the Village of Junction. Identified structures associated with the Canal include ditches, Junction Lock, bridge, feeder to Marshville, and spoil banks. Surveyor measurements and notes can be seen in red and black ink and pencil. Local area landmarks include the Gore between Crowland and Humberstone, pond, creek, H. Hellems Wharf Lot, John Toyne property, School House, Tavern, Barn, and House. Roads parallel to Canal include southern Road Allowance and the Road to Port Colborne. Roads perpendicular to Canal include Road Allowance between the 6th and 7th Concession. Properties and property owners are noted as Thomas Street, John Hellems, James Boyd, John Toyne, and F. Holmes. Lots noted are: Lots Number 25, 26, 27, 7th Concession.

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This daily paper, except Sundays, began publication on August 17, 1813 and ceased April 30, 1817. It was also published tri-weekly for a "COUNTRY" edition. The paper later became the Baltimore Patriot. Topics of interest include: Page 1: announcement Capt. M. Simmones Burnbury is seeking men to form a company of Sea Fencibles; Page 2: U.S. Legislature authorizes bill to increase the Marine Corps; U.S. Legislature authorizes bill to purchase vessels captured on Lake Erie; U.S. Senate bill authorizes the appointment of officers for the flotilla service; President of United States authorized to accept service of volunteer corps for defence of United States; Letter from Capt. A. H. Holmes to Lieut. Col. Butler detailing an American victory over the British near Detroit; announcement of British forces building barges for the purpose of attacking Detroit; War sloop Erie returns to Baltimore unable to reach sea due to British forces in the Chesapeake; Page 3: Death notice of Mr. Ward Fairchild of the U.S. Army; Page 4: Commander of the U.S. Flotilla seeks men for the Chesapeake Flotilla.

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Dr. James A. Gibson was born in Ottawa on January 29, 1912 to John W. and Belle Gibson. At an early age the family moved to Victoria, B.C. where John W. Gibson was a director of the Elementary Agricultural Education Branch, Department of Education. Gibson received his early education in Victoria, receiving a B.A. (honours) at UBC in 1931. In 1931 he was awarded the Rhodes scholarship and received his B.A., M.A., B.Litt and D. Phil at New College, Oxford. This was to be the beginning of a long and dedicated relationship with the Rhodes Scholar Association. Upon his return to Canada, Dr. Gibson lectured in Economics and Government at the University of British Columbia. In 1938 he was married to Caroline Stein in Philadelphia, and the same year joined the staff of the Department of External Affairs as a Foreign Service officer. Within twenty minutes of his arrival he was seconded to the Office of the Prime Minister and Secretary of State for External Affairs, W. L. Mackenzie King in charge of War Records and Liaison Officer. This was a critical time in the history of Canada, and Dr. Gibson experienced firsthand several milestones, including the Royal Visit of King George VI and Queen Elizabeth in 1939. Dr. Gibson was present at the formation of the United Nations in San Francisco in 1945, being part of the Prime Minister’s professional staff as well as attending conferences in Washington, Quebec and London as an advisor to the Canadian delegation. Gibson contributed many articles to the publication bout de papier about his experiences during these years. After his resignation in 1947, Gibson joined the staff of the fledgling Carleton College, as a lecturer. In 1949 he was appointed a professor and in 1951 became Dean of Arts and Sciences. Dr. Gibson acted as President from 1955 to 1956 upon the sudden death of Dr. MacOdrum. In 1963 Dr. Gibson accepted the invitation of the Brock University Founders’ Committee, chaired by Arthur Schmon, to become the founding president. Dr. Gibson guided the new University from a converted refrigeration plant, to an ever expanding University campus on the brow of the Niagara Escarpment. Dr. Gibson remained firmly “attached” to Brock University. Even after official retirement, in 1974, he retained the title President Emeritus. Gibson’s final official contribution was an unpublished ten year history of the University. In retirement Gibson remained active in scholarly pursuits. He was a visiting scholar at the Center of Canadian Studies, University of Edinburgh; continued his ongoing research activities focusing on W. L. Mackenzie King, the Office of the Governor General of Canada, and political prisoners transported to Van Dieman’s Land. He remained active in the Canadian Association of Rhodes Scholars, becoming editor from 1975 to 1994 and was appointed Editor Emeritus and Director for Life in 1995 in honour of his dedicated and outstanding service. In 1993 he was awarded one of Canada’s highest achievements, the Order of Canada. Gibson retained close ties with Brock University and many of its faculty. He maintained an office in the Politics Department where he became a vital part of the department. In 1996 Brock University honoured Gibson by naming the University Library in his honour. James A. Gibson Library staff was instrumental in celebrating the 90th birthday of Gibson in 2002, with a widely attended party in the Pond Inlet where many former students, including Silver Badgers. The attendees also included former and current colleagues from Brock University, Canadian Rhodes Scholars Association, family and friends. Gibson was later to remark that the highlight of this event was the gift of his original academic robe which he had personally designed in 1964. In 2003 Dr. Gibson moved to Ottawa to be near some of his children and the city of his birth and early career. In that year “two visits to Brock ensued: the first, to attend a special celebration of the James A. Gibson Library; his late to attend the 74th Convocation on Saturday, October 18, 2003. A week later, in Ottawa, he went for a long walk, returned to his residence, Rideau Gardens, went into the lounge area, took off his coat and folded it up, put it on the back of his chair, sat down, folded his hands in his lap, closed his eyes, and died”. With sources from: Carleton University The Charlatan, Gibson CV, and Memorial Service Programme

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Letter to S.D. Woodruff stating the total quantity of timber plank in the Port Robinson Bridge at Chippawa. This is signed by Fred Holmes, Oct. 6, 1857.

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Chart of estimate #5 of work done in February. This is signed by S.D. Woodruff and Fred Holmes, Feb. 29, 1856.

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Chart of estimate #6 of work done from the end of February to April, 1856. This is signed by Fred Holmes, April, 1856.

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Chart of estimate #8 of work done by John Williams during the month of June. This is signed by Fred Holmes, June 1856

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Chart of estimate #9 of work done by John Williams for the month of July. This is signed by Fred Holmes, July 30, 1856.

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Chart of estimate #11 of work done by John Williams. This is signed by Fred Holmes, Sept. 1856.

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Chart of estimate #12 of work done by John Williams. This is signed by Fred Holmes, Oct. 1856.

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Chart of estimate #13 of work done by John Williams. This is signed by Fred Holmes, Nov. 1856.

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Chart of estimate #14 of work done by John Williams. This is signed by Fred Holmes, Dec. 1856.