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decomposition formula

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  • Cholesky decomposition — In linear algebra, the Cholesky decomposition or Cholesky triangle is a decomposition of a Hermitian, positive definite matrix into the product of a lower triangular matrix and its conjugate transpose. It was discovered by André Louis Cholesky… …   Wikipedia

  • Chemical decomposition — Chemical decomposition, analysis or breakdown is the separation of a chemical compound into elements or simpler compounds. It is sometimes defined as the exact opposite of a chemical synthesis. Chemical decomposition is often an undesired… …   Wikipedia

  • LU decomposition — In linear algebra, LU decomposition (also called LU factorization) is a matrix decomposition which writes a matrix as the product of a lower triangular matrix and an upper triangular matrix. The product sometimes includes a permutation matrix as… …   Wikipedia

  • De Polignac's formula — In number theory, de Polignac s formula, named after Alphonse de Polignac, gives the prime decomposition of the factorial n!, where n ≥ 1 is an integer. L. E. Dickson attributes the formula to Legendre.[1] The formula Let… …   Wikipedia

  • Smith–Minkowski–Siegel mass formula — In mathematics, the Smith–Minkowski–Siegel mass formula (or Minkowski–Siegel mass formula) is a formula for the sum of the weights of the lattices (quadratic forms) in a genus, weighted by the reciprocals of the orders of their automorphism… …   Wikipedia

  • Leibniz formula for pi — See Leibniz formula for other formulas known under the same name. In mathematics, the Leibniz formula for pi;, named after Gottfried Leibniz, states that:1 , , frac{1}{3} ,+, frac{1}{5} , , frac{1}{7} ,+, frac{1}{9} , , cdots ;=; frac{pi}{4}.!The …   Wikipedia

  • Block LU decomposition — In linear algebra, a Block LU decomposition is a decomposition of a block matrix into a lower block triangular matrix L and an upper block triangular matrix U . This decomposition is used in numerical analysis to reduce the complexity of the… …   Wikipedia

  • Class number formula — In number theory, the class number formula relates many important invariants of a number field to a special value of its Dedekind zeta function Contents 1 General statement of the class number formula 2 Galois extensions of the rationals 3 A …   Wikipedia

  • Tanaka's formula — In the stochastic calculus, Tanaka s formula states that:|B t| = int 0^t sgn(B s) dB s + L twhere B t is the standard Brownian motion, sgn denotes the sign function:sgn (x) = egin{cases} +1, x geq 0; 1, x < 0. end{cases}and L t is its local time …   Wikipedia

  • Law of total variance — In probability theory, the law of total variance or variance decomposition formula states that if X and Y are random variables on the same probability space, and the variance of X is finite, then:operatorname{var}(X)=operatorname{E}(operatorname{v… …   Wikipedia

  • sco|po|line — «SKOH puh leen, lihn», noun. a crystalline, narcotic compound obtained from scopolamine by decomposition. Formula: C8H13NO2 …   Useful english dictionary

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