Results 41 to 50 of about 59 (58)
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Mathematical Proceedings of the Cambridge Philosophical Society, 2002
Let X be a finite CW-complex. We show that the image of the homotopy groups of X under suspension have an exponent at every prime. As a corollary we recover Long's result that finite H-spaces have exponents at all primes. We show that the stable homotopy groups of X have an exponent at p if and only if X is rationally equivalent to a point.
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Let X be a finite CW-complex. We show that the image of the homotopy groups of X under suspension have an exponent at every prime. As a corollary we recover Long's result that finite H-spaces have exponents at all primes. We show that the stable homotopy groups of X have an exponent at p if and only if X is rationally equivalent to a point.
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2020
Mathematicians have devised notations and symbols to compress information and to explore mathematics via the symbols themselves. In the 1500s the invention of exponential notation, which was devised as a type of shorthand to facilitate the cumbersomeness of just reading repeated multiplications of the same digit, was a watershed event.
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Mathematicians have devised notations and symbols to compress information and to explore mathematics via the symbols themselves. In the 1500s the invention of exponential notation, which was devised as a type of shorthand to facilitate the cumbersomeness of just reading repeated multiplications of the same digit, was a watershed event.
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Biopolymer gelation- exponents and critical exponents
Polymer Bulletin, 2006The gelation of biopolymer systems has been studied, at least, empirically for many years, but only more recently have the methods of macromolecular science been applied. A number of following studies have tended to concentrate on measuring power law exponents, and have ignored details of the network structure.
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Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1999It is shown that the multifractal property is shared by both Lyapunov exponents and dual Lyapunov exponents related to scaling functions of one-dimensional expanding folding maps. This reveals in a quantitative way the complexity of the dynamics determined by such maps.
Fan, Aihua, Jiang, Yunping
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The Noether exponent and the Łojasiewicz exponent. II
La notation est celle de l'article précédent [ibid., No.11, 16 p. (1986; voir l'article précédent)], avec en outre \(| z| =\sup (| x|,| y|)\) pour \(z=(x,y)\). L'exposant de Łojasiewicz \(\lambda\) (h) de l'application \(h=(f,g)\) est le plus petit \(\lambda \in {\mathbb{R}}_+\) tel que \(| z|^{\lambda}/| h(z)|\) ait une \(\limsup\) finie quand \(z\to ...Chądzyński, Jacek, Krasiński, Tadeusz
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Exponents of primitive graphs [PDF]
Australas. J Comb., 2003 A digraph is said to be primitive if there exists a positive integer \(k\) such that there is a walk of length \(k\) between any two vertices of the digraph. The minimum value of such \(k\) is the exponent of the graph. Let \(G\) be a primitive graph with \(n\) vertices and odd girth \(g\).
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