5 resultados para longest monotone subsequence

em Brock University, Canada


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Second President of Brock University. Dr. Earp was President from 1974 - 1987. He is Brock's longest running president to date.

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The five-storey building consists of 255 furnished, single-rooms with a bathroom shared between every two rooms, as well as a lounge on each floor. It is named after the University's second and longest-serving President. Dr. Earp was President from 1974-1988, in addition to being Acting President during the 1971-72 and 1973-1974 academic years.

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The fatty acid composition of the total cellular lipids of Choanephora cucurbitarum incubated for 96 hrs on either glucose-ammonium sulfate or malt-weast extract media was determined. The major fatty acids were palmitic, palmitoleic, stearic and linoleic acids. The saturated fatty acid possessing the longest acyl chain was stearate (C 18:0). The presence of glutamic acid (2.0 x 10-1% or 1.36 x la-2M) in either of the above growth media resulted in increase in percent of 1f-linolenic acid, decrease in percent of linoleic ~iCid and appearance of a new series of fatty acid> C ~8 e.g. C ",,,,'V' C2k:O, C26,O. The addition of glutamic acid had no effect on the lipid yield but slightly decreased the degree of unsaturation. Compounds which duplicated the effect of glutamic acid were acetate, malate, citrate, succinate, 0( -ketoglutarate, prOline, -y -aminobutyric acid and glucose (3%) but not aspartic acid or alanine. ~o correlation was found between glutamic acid pool concentration and the presence in the growth medium of those compounds which stimulate long chain fatty acid production. Four hours of incubation with 27 JJ 1-1 glutamate supported the production of long chain fatty acids. This stimulation is inhibited if 272 .u M isophthalic acid is added with 27 AJ M glutamate. But, long chain fatty acids were detected when 27 JJ M eX -ketoglutarate is also present in the incubation mixture. Five hours of incubation with 100 ,Mg/ml of cycloheximide resulted in over 9CY/o inhibition of cytoplasmic :protein synthesise Glutamate (27 .uM) enhanced the synthesis of long chain fatty acids under these conditions. These findings are discussed in an attempt to provide a plausible explanation COmmon to compounds that support the production of long chain fatty acids.

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The purpose of this thesis is to investigate some open problems in the area of combinatorial number theory referred to as zero-sum theory. A zero-sequence in a finite cyclic group G is said to have the basic property if it is equivalent under group automorphism to one which has sum precisely IGI when this sum is viewed as an integer. This thesis investigates two major problems, the first of which is referred to as the basic pair problem. This problem seeks to determine conditions for which every zero-sequence of a given length in a finite abelian group has the basic property. We resolve an open problem regarding basic pairs in cyclic groups by demonstrating that every sequence of length four in Zp has the basic property, and we conjecture on the complete solution of this problem. The second problem is a 1988 conjecture of Kleitman and Lemke, part of which claims that every sequence of length n in Zn has a subsequence with the basic property. If one considers the special case where n is an odd integer we believe this conjecture to hold true. We verify this is the case for all prime integers less than 40, and all odd integers less than 26. In addition, we resolve the Kleitman-Lemke conjecture for general n in the negative. That is, we demonstrate a sequence in any finite abelian group isomorphic to Z2p (for p ~ 11 a prime) containing no subsequence with the basic property. These results, as well as the results found along the way, contribute to many other problems in zero-sum theory.

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The Bruce trail is Canada’s longest and oldest continuous footpath. The trail runs along the Niagara Escarpment from Niagara to Tobermory through private and public land. The main trail is 890 km long and the side trails measure 400 km. In 1961, a “Save the Escarpment” conference was held in Hamilton. Gerry Wolfram, a writer for the St. Catharines Standard proposed that a committee be formed to develop a hiking trail. The Peninsula Field Naturalists Club formed a committee and President Bert Lowe contacted landowners along the proposed route to gain permission to cross their properties. Through Bert Lowe’s effort and dedication, the trail was completed in October 1963. The trail was officially opened on May 24th, 1964 in a ceremony at Queenston. The Niagara group joined the Bruce Trail Association in 1968 at which time the Niagara Bruce Trail Club was formed. The Bruce Trail Association is a charitable, membership-based volunteer organization. Their goal is to preserve public access to the Niagara Escarpment while restoring its natural habitat. The head office of the Bruce Trail Association is located in Hamilton, Ontario. The Niagara Bruce Trail Club’s goal is to secure and preserve a natural corridor along the Niagara Escarpment while providing education, awareness, and access for the public and the future. The club has organized many hikes including special hikes such as the one to commemorate the St. Catharines Centennial. The club has also hosted children’s hikes, cross country skiing hikes, wildflower hikes, jogging hikes, snowshoe hikes and bike outings. They hold annual events such as the End to End hike which is a 3 day walk from Grimsby to Queenston and the 30 km Laura Secord hike to commemorate Laura Secord’s famous walk. Charity hikes have also been held for the Heart and Stroke Foundation and the Lung Association as well as other causes. Major changes have taken place along the trail throughout the years, some of these include: a reroute which eliminated the tunnel passage (1976) and a bridge which eliminated the need to walk to Mountain Road to cross the Queen Elizabeth Way (2008). Other major changes and clean-up projects have been undertaken by the club. The Bruce Trail Conservancy (formerly Association) is made up of 9 clubs including: Niagara Bruce Trail Club (Queenston to Grimsby), Iroquia Bruce Trail Club (Grimsby to Kelso), Toronto Bruce Trail Club (Kelso to Cheltenham), Caledon Hills Bruce Trail Club (Cheltenham to Mono Centre), Dufferin Hi-Land Bruce Trail Club (Mono Centre to Lavender), Blue Mountains Bruce Trail Club (Lavender to Craigleath), Beaver Valley Bruce Trail Club (Craigleath to Blantyre), Sydenham Bruce Trail Club (Blantyre to Wiarton) and Peninsula Bruce Trail Club (Wiarton to Tobermory). Sources: http://www.niagarabrucetrail.org/index.html and http://brucetrail.org/