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quadratic representation

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  • Quadratic function — A quadratic function, in mathematics, is a polynomial function of the form f(x)=ax^2+bx+c ,!, where a e 0 ,!. The graph of a quadratic function is a parabola whose major axis is parallel to the y axis.The expression ax^2+bx+c in the definition of …   Wikipedia

  • Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   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

  • Time-frequency representation — A time frequency representation (TFR) is a view of a signal (taken to be a function of time) represented over both time and frequency. Time frequency analysis means analysis of a TFR. TFRs are often complex valued fields over time and frequency,… …   Wikipedia

  • Binary quadratic form — In mathematics, a binary quadratic form is a quadratic form in two variables. More concretely, it is a homogeneous polynomial of degree 2 in two variables where a, b, c are the coefficients. Properties of binary quadratic forms depend in an… …   Wikipedia

  • Proofs of quadratic reciprocity — In the mathematical field of number theory, the law of quadratic reciprocity, like the Pythagorean theorem, has lent itself to an unusual number of proofs. Several hundred proofs of the law of quadratic reciprocity have been found.Proofs that are …   Wikipedia

  • Somos' quadratic recurrence constant — In mathematics, Somos quadratic recurrence constant, named after Michael Somos, who is a researcher in the Georgetown University Mathematics Department, is the number:sigma = sqrt {1 sqrt {2 sqrt{3 cdots} = 1^{1/2};2^{1/4}; 3^{1/8} cdots.,This… …   Wikipedia

  • Adjoint representation — In mathematics, the adjoint representation (or adjoint action) of a Lie group G is the natural representation of G on its own Lie algebra. This representation is the linearized version of the action of G on itself by conjugation.Formal… …   Wikipedia

  • Matrix representation of conic sections — In mathematics, the matrix representation of conic sections is one way of studying a conic section, its axis, vertices, foci, tangents, and the relative position of a given point. We can also study conic sections whose axes aren t parallel to our …   Wikipedia

  • Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …   Wikipedia

  • Orthogonal group — Group theory Group theory …   Wikipedia

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