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odd representation

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  • Odd greedy expansion — In number theory, the odd greedy expansion problem concerns a method for forming Egyptian fractions in which all denominators are odd. If a rational number x/y is a sum of odd unit fractions, then y must be odd. Conversely, it is known that… …   Wikipedia

  • Représentation des groupes finis — Représentations d un groupe fini En mathématiques, un groupe est une structure algébrique dont la définition est remarquablement simple. Elle consiste en un ensemble muni d une unique opération. Cette opération possède de bonnes propriétés, elle… …   Wikipédia en Français

  • Representation theory of SL2(R) — In mathematics, the main results concerning irreducible unitary representations of the Lie group SL2(R) are due to Gelfand and Naimark (1946), V. Bargmann (1947), and Harish Chandra (1952). Structure of the complexified Lie algebra We choose a… …   Wikipedia

  • Spin representation — In mathematics, the spin representations are particular projective representations of the orthogonal or special orthogonal groups in arbitrary dimension and signature (i.e., including indefinite orthogonal groups). More precisely, they are… …   Wikipedia

  • Fundamental representation — In representation theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite dimensional representation of a semisimple Lie groupor Lie algebra whose highest weight is a fundamental weight. For example, the… …   Wikipedia

  • All Downhill from Here — Infobox Single Name = All Downhill from Here Artist = New Found Glory from Album = Catalyst Released = July 23, 2004 Format = Digital download CD single Recorded = Royaltone Studios, Sunset Sound Studios Genre = Pop punk Emo Melodic hardcore… …   Wikipedia

  • Spinor — In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the… …   Wikipedia

  • Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

  • Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …   Wikipedia

  • Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …   History of philosophy

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