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Variations on the Guessing Problem
2018 IEEE International Symposium on Information Theory (ISIT), 2018Three variations on the Massey-Arikan guessing problem are considered. Their solutions provide new evidence of the duality between good guessing functions and efficient quantization schemes. They also show how type-covering can be used to provide side-information in the guessing setup.
Robert Graczyk, Amos Lapidoth
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An Approach to Variational Problems
Differential Equations, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bobylev, N. A. +2 more
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J. Integer Seq., 2015
Summary: Consider a fair \(n\)-sided die with faces numbered 1 to \(n\). Several different methods are used to compute the probability that every face has come up at least once when face \(n\) appears for the \(k\)th time. The results lead to a number of summation identities.
Jerry Metzger, Thomas Richards
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Summary: Consider a fair \(n\)-sided die with faces numbered 1 to \(n\). Several different methods are used to compute the probability that every face has come up at least once when face \(n\) appears for the \(k\)th time. The results lead to a number of summation identities.
Jerry Metzger, Thomas Richards
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On a Variational Problem on Hypersurfaces
Journal of the London Mathematical Society, 1973\«\dV £ cm, (1) M where cm denotes the area of a unit m-sphere. The equality sign of (1) holds when and only when M is a hypersphere in E. In order to know whether the inequality (1) can be improved for some given hypersurfaces in E, it is important to know the S-hypersurfaces in E, i.e., the stable hypersurfaces in E with respect to the integral ot ...
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Conversion of Variation Problems Into Isoperimetrical Problems
The Mathematical Gazette, 1954The purpose of this article is to apply a method, previously discussed in some detail, to the solving of standard elementary problems in the Calculus of Variations and to show how rapidly the solutions can be derived by introducing ( p, r ) and certain other coordinates.
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Scaled Stability in Variational Problems
SIAM Journal on Optimization, 2002We introduce tools called tolerance functions for the study of a new and practical kind of stability for variational problems on normed vector spaces. Our notion of stability is distinguished by the fact that it explicitly addresses distinctions of scale.
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2021
AbstractChapter 7 maps out a broad framework for considering the problem of variation in evolution. Under the neo-Darwinian view that variation merely plays the role of supplying random infinitesimal raw materials, with no dispositional influence on the course of evolution, a substantive theory of form and its variation is not required to specify a ...
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AbstractChapter 7 maps out a broad framework for considering the problem of variation in evolution. Under the neo-Darwinian view that variation merely plays the role of supplying random infinitesimal raw materials, with no dispositional influence on the course of evolution, a substantive theory of form and its variation is not required to specify a ...
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The Linguistic Review, 2004
This paper discusses the problem of variation in linguistics and the ways in which linguists try to take it into account. First the notion of variation in linguistics is defined and the different levels of importance given to phenomena of variation by various groups of linguists is highlighted.
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This paper discusses the problem of variation in linguistics and the ways in which linguists try to take it into account. First the notion of variation in linguistics is defined and the different levels of importance given to phenomena of variation by various groups of linguists is highlighted.
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Philosophical Studies, 2020
It is often assumed that two linguistic agents can come to understand one another in part because they use the same words. That is, many philosophical theories of communication posit an intersubjective same-word relation. However, giving an account of this relation is complicated by what I call “The Variation Problem”—a problem resulting from the fact ...
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It is often assumed that two linguistic agents can come to understand one another in part because they use the same words. That is, many philosophical theories of communication posit an intersubjective same-word relation. However, giving an account of this relation is complicated by what I call “The Variation Problem”—a problem resulting from the fact ...
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Variational problems with topological constraints
Calculus of Variations and Partial Differential Equations, 2000The authors are motivated by the goal of characterizing the topological characteristics of level sets of Sobolev functions that are preserved under weak limits. For example, they prove the following: If \(m>0\), \(\Omega\subset {\mathbb R}^2\) is open and bounded, \(g:{\mathbb R}\to{\mathbb R}\) is monotone increasing and left continuous with \(g=0 ...
LAURENCE, Peter Michael +1 more
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