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Displaying similar documents to “Noncommutative independence in the infinite braid and symmetric group”

E-symmetric numbers

Gang Yu (2005)

Colloquium Mathematicae

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A positive integer n is called E-symmetric if there exists a positive integer m such that |m-n| = (ϕ(m),ϕ(n)), and n is called E-asymmetric if it is not E-symmetric. We show that there are infinitely many E-symmetric and E-asymmetric primes.

On the symmetric continuity

Jaskuła, Janusz, Szkopińska, Bożena (2015-12-15T14:49:03Z)

Acta Universitatis Lodziensis. Folia Mathematica

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Enclosing solutions of second order equations

Gerd Herzog, Roland Lemmert (2005)

Annales Polonici Mathematici

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We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.

Decomposing a 4th order linear differential equation as a symmetric product

Mark van Hoeij (2002)

Banach Center Publications

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Let L(y) = 0 be a linear differential equation with rational functions as coefficients. To solve L(y) = 0 it is very helpful if the problem could be reduced to solving linear differential equations of lower order. One way is to compute a factorization of L, if L is reducible. Another way is to see if an operator L of order greater than 2 is a symmetric power of a second order operator. Maple contains implementations for both of these. The next step would be to see if L is a symmetric...