User:Richard Pinch

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Revision as of 16:08, 11 December 2008 by imported>Richard Pinch (→‎Articles I have started: added Characteristic polynomial)
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I am a professional mathematician, with research interests in number theory and combinatorics: my D.Phil (Oxford 1983) was in the arithmetic of elliptic curves and I have published about two dozen research papers and one book (Communication Theory). I held research and teaching posts at the University of Cambridge for 15 years and am now a civil servant. My Erdos number is 3.

Working links

Articles I have started

  • Stub Absorbing element: An element whose behaviour with respect to an algebraic binary operation is like that of zero with respect to multiplication. [e]
  • Albert algebra: An exceptional Jordan algebra, consisting of 3×3 self-adjoint matrices over the octonions. [e]
  • Stub Alternant code: A class of parameterised error-correcting codes which generalise the BCH codes. [e]
  • Developing Article Altitude (geometry): In a triangle, a line from a vertex perpendicular to the opposite side. [e]
  • Stub Arithmetic function: A function defined on the set of positive integers, usually with integer, real or complex values, studied in number theory. [e]
  • Stub Artin-Schreier polynomial‎: A type of polynomial whose roots generate extensions of degree p in characteristic p. [e]
  • Stub Associativity: A property of an algebraic operation such as multiplication: a(bc) = (ab)c. [e]
  • Developing Article Automorphism: An isomorphism of an algebraic structure with itself: a permutation of the underlying set which respects all algebraic operations. [e]
  • Stub Average order of an arithmetic function‎: A simple or well-known function, usually continuous and montonic, which on average takes the same or closely approximate values as a given arithmetic function. [e]
  • Developing Article Baer-Specker group‎: An example of an infinite Abelian group which is a building block in the structure theory of such groups. [e]
  • Stub Barycentre: The centre of mass of a body or system of particles, a weighted average where certain forces may be taken to act. [e]
  • Developing Article Barycentric coordinates‎: The weights that would have to be assigned to a system of reference points to yield a given position as barycentre are used as coordinates. [e]
  • Stub Binary operation: A function of two elements within a set, which assigns another value from among the elements of the set. [e]
  • Developing Article Brun-Titchmarsh theorem: An upper bound on the distribution on primes in an arithmetic progression. [e]
  • Stub Cameron-Erdos conjecture‎: Add brief definition or description
  • Stub Cartesian product: The set of ordered pairs whose elements come from two given sets. [e]
  • Stub Centraliser: The set of all group elements which commute with every element of a given subset. [e]
  • Stub Centre of a group: The subgroup of a group consisting of all elements which commute with every element of the group. [e]
  • Developing Article Cevian line: A line from the vertex of a triangle to some point on the opposite edge. [e]
  • Developing Article Chain rule: A rule in calculus for differentiating a function of a function. [e]
  • Stub Characteristic function: A function on a set which takes the value 1 on a given subset and 0 on its complement. [e]

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