Harold Neville Vazeille Temperley
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Harold Neville Vazeille Temperley
Professor Harold Neville Vazeille Temperley (4 March 1915 – 27 March 2017), better known as Neville Temperley, was an applied mathematician who made numerous contributions to the fields of statistical mechanics, graph theory and the physics of liquids and gases. He was awarded the title Doctor of Science as a fellow of King's College Cambridge, before working for the Admiralty on numerical modelling of underwater explosions during World War 2. He continued his work on the physical properties of liquids at the Atomic Weapons Research Establishment at Aldermaston until 1965. Professor Neville Temperley was head of the Applied Mathematics Department at Swansea University for 17 years until his retirement in 1982. He received the Rumford Medal from the Royal Society in 1992. His father, Harold William Vazeille Temperley, was a distinguished British historian. He was the father of Virginia (Wagstaff) Julian, creator of Somerset Cider Brandy, Humphrey oVignobles Temperleya fine w ...
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Statistical Mechanics
In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities. It does not assume or postulate any natural laws, but explains the macroscopic behavior of nature from the behavior of such ensembles. Statistical mechanics arose out of the development of classical thermodynamics, a field for which it was successful in explaining macroscopic physical properties—such as temperature, pressure, and heat capacity—in terms of microscopic parameters that fluctuate about average values and are characterized by probability distributions. This established the fields of statistical thermodynamics and statistical physics. The founding of the field of statistical mechanics is generally credited to three physicists: *Ludwig Boltzmann, who developed the fundamental interpretation of entropy in terms of a collection of microstates *James Clerk Maxwell, who developed models of probability ...
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FKT Algorithm
The FKT algorithm, named after Fisher, Kasteleyn, and Temperley, counts the number of perfect matchings in a planar graph in polynomial time. This same task is #P-complete for general graphs. For matchings that are not required to be perfect, counting them remains #P-complete even for planar graphs. The key idea of the FKT algorithm is to convert the problem into a Pfaffian computation of a skew-symmetric matrix derived from a planar embedding of the graph. The Pfaffian of this matrix is then computed efficiently using standard determinant algorithms. History The problem of counting planar perfect matchings has its roots in statistical mechanics and chemistry, where the original question was: If diatomic molecules are adsorbed on a surface, forming a single layer, how many ways can they be arranged? The partition function is an important quantity that encodes the statistical properties of a system at equilibrium and can be used to answer the previous question. However, t ...
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Men Centenarians
A man is an adult male human. Prior to adulthood, a male human is referred to as a boy (a male child or adolescent). Like most other male mammals, a man's genome usually inherits an X chromosome from the mother and a Y chromosome from the father. Sex differentiation of the male fetus is governed by the SRY gene on the Y chromosome. During puberty, hormones which stimulate androgen production result in the development of secondary sexual characteristics, thus exhibiting greater differences between the sexes. These include greater muscle mass, the growth of facial hair and a lower body fat composition. Male anatomy is distinguished from female anatomy by the male reproductive system, which includes the penis, testicles, sperm duct, prostate gland and the epididymis, and by secondary sex characteristics, including a narrower pelvis, narrower hips, and smaller breasts without mammary glands. Throughout human history, traditional gender roles have often def ...
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