Results 121 to 130 of about 10,885,302 (272)
Aspects of derivative causality in bond-graph models
MATEC Web of Conferences, 2017 The bond-graph method used in the analysis of system dynamics problems leads to a system containing a number of differential equations equal to the number of energy storing elements in integral causality and a number of algebraic equations equal to the ...
Ibănescu Radu, Ibănescu Mihaela
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On the number of good approximations of algebraic numbers by algebraic numbers of bounded degree [PDF]
Acta Arithmetica, 1999 only a finite number of solutions. Unfortunately, the underlying method of Thue–Siegel–Roth is ineffective in the sense that it does not provide upper bounds for y or H0(β) respectively. However, it allows giving an explicit upper bound for the number of x/y ∈ Q satisfying (1.1). A first result was proved by Davenport and Roth ([3], 1955).
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On the fundamental number of the algebraic number-field 𝑘(\root𝑝\of𝑚) [PDF]
, 1910 Jacob Westlund
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Frobenius' Theorem on Division Algebras [PDF]
arXivFrobenius' Theorem states that the only finite-dimensional real division algebras are the algebra of real numbers $\mathbb R$, the algebra of complex numbers $\mathbb C$, and the algebra of quaternions $\mathbb H$. We present a short proof which uses only standard undergraduate mathematics.
arxiv
Nonassociative Solomon's descent algebras [PDF]
arXiv, 2018 Descent algebras of graded bialgebras were introduced by F. Patras as a generalization of Solomon's descent algebras for Coxeter groups of type $A$, i.e. symmetric groups. The universal enveloping algebra of the free Lie algebra on a countable number of generators, its descent algebra and Solomon's descent algebra, with its outer product, for symmetric
arxiv
The maximum number of cusps of an algebraic plane curve, and enumeration of self-dual curves [PDF]
, 1917 M. W. Haskell
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Schanuel's Conjecture and Algebraic Roots of Exponential Polynomials [PDF]
arXiv, 2009 In this paper we prove that assuming Schanuel's conjecture, an exponential polynomial in one variable over the algebraic numbers has only finitely many algebraic solutions. This implies a positive answer to Shapiro's conjecture for exponential polynomials over the algebraic numbers for pseudoexponential fields as well as for any algebraically closed ...
arxiv
A correction to “On the average number of real roots of a random algebraic equation” [PDF]
, 1943 Mark Kac
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Number of divisor classes in algebraic function fields [PDF]
, 1950 Eizi Inaba
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