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The first algorithm for polynomial decomposition was published in 1985, [6] though it had been discovered in 1976, [7] and implemented in the Macsyma/Maxima computer algebra system. [8] That algorithm takes exponential time in worst case, but works independently of the characteristic of the underlying field .
Demonstration, with Cuisenaire rods, of the first four highly composite numbers: 1, 2, 4, 6. A highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a positive integer n, then a positive integer N is highly composite if d(N) > d(n) for all n < N.
Calculus of Variations, by G. A. Bliss (out of print) Analytic Functions of a Complex Variable, by D. R. Curtiss (out of print) Mathematical Statistics, by H. L. Rietz (out of print) Projective Geometry, by J. W. Young (out of print) A History of Mathematics in America before 1900, by D. E. Smith and Jekuthiel Ginsburg (out of print)
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In abstract algebra, a decomposition of a module is a way to write a module as a direct sum of modules.A type of a decomposition is often used to define or characterize modules: for example, a semisimple module is a module that has a decomposition into simple modules.
Decomposition: This is a version of Schur decomposition where and only contain real numbers. One can always write A = V S V T {\displaystyle A=VSV^{\mathsf {T}}} where V is a real orthogonal matrix , V T {\displaystyle V^{\mathsf {T}}} is the transpose of V , and S is a block upper triangular matrix called the real Schur form .
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