Results 21 to 30 of about 282,301 (316)
The Asymptotic Behavior of Grassmannian Codes [PDF]
IEEE Transactions on Information Theory, 2012 The iterated Johnson bound is the best known upper bound on a size of an error-correcting code in the Grassmannian $\mathcal{G}_q(n,k)$. The iterated Sch nheim bound is the best known lower bound on the size of a covering code in $\mathcal{G}_q(n,k)$. We use probabilistic methods to prove that both bounds are asymptotically attained for fixed $k$ and ...
Simon R. Blackburn, Tuvi Etzion
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Mathematical Modelling and Analysis, 2016 The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere.
Irina Astashova
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ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT [PDF]
Nagoya Mathematical Journal, 2017 This work concerns the linearity defect of a module $M$ over a Noetherian local ring $R$, introduced by Herzog and Iyengar in 2005, and denoted $\text{ld}_{R}M$. Roughly speaking, $\text{ld}_{R}M$ is the homological degree beyond which the minimal free resolution of $M$ is linear.
Hop D. Nguyen, Thanh Vu
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Axioms, 2022 The asymptotic behavior of resolvents of a proper convex lower semicontinuous function is studied in the various settings of spaces. In this paper, we consider the asymptotic behavior of the resolvents of a sequence of functions defined in a complete ...
Yasunori Kimura, Keisuke Shindo
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Asymptotic Behavior for a Coalescence Problem [PDF]
Transactions of the American Mathematical Society, 1993 Consider spherical particles of volume x x having paint on a fraction y y of their surface area. The particles are assumed to be homogeneously distributed at each time t t , so that one can introduce the density number n ( x , y , t )
Bruno, Oscar +2 more
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Mathematics, 2022 Our purpose in this article is to study the asymptotic behavior of undamped evolution equations with fading memory on time-dependent spaces. By means of the theory of processes on time-dependent spaces, asymptotic a priori estimate and the technique of ...
Xuan Wang, Didi Hu, Chenghua Gao
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On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory
Mathematics, 2020 Asymptotic analysis is a branch of mathematical analysis that describes the limiting behavior of the function. This behavior appears when we study the solution of differential equations analytically.
Rabha W. Ibrahim +2 more
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arXiv, 2022 Two theorems on the asymptotic distribution of zeros of sequences of analytic functions are proved. First one relates the asymptotic behavior of zeros to the asymptotic behavior of coefficients. Second theorem establishes a relation between the asymptotic behaviors of zeros of a function and zeros of derivative.
arxiv
On the representation of m as ∑k=−nnϵkk
International Journal of Mathematics and Mathematical Sciences, 2000 Let A(n,m) be the number of solutions of ∑k=−nnϵkk=m where each ϵk∈{0,1}. We determine the asymptotic behavior of A(n,m) for m=o(n3/2), extending results of van Lint and of Entringer.
Lane Clark
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Subexponential Solutions of Linear Volterra Difference Equations
Nonautonomous Dynamical Systems, 2015 We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
Bohner Martin, Sultana Nasrin
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