Results 261 to 270 of about 620,813 (298)
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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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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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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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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., 2020 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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Learning with Errors in the Exponent
2016The Snowden revelations have shown that intelligence agencies have been successful in undermining cryptography and put in question the exact security provided by the underlying intractability problem. We introduce a new class of intractability problems, called Learning with Errors in the Exponent (LWEE).
Özgür Dagdelen +2 more
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On critical variable-order Kirchhoff type problems with variable singular exponent
Journal of Mathematical Analysis and Applications, 2022Jiabin Zuo +2 more
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