Science Talks, converses de ciències

Converses for Write-unidirectional Memories

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Some Converses of the Strong Separation Theorem

A convex subset B of a real locally convex space X is said to have the separation property if it can be separated from any closed convex subset A of X, which is disjoint from B, by a closed hyperplane. The strong separation theorem says that if B is weakly compact then it has the separation property. In this paper, we present several versions for the converse and discuss some applications. For ...

Converses of Copson’s Inequalities on Time Scales

In this paper, we will prove some new dynamic inequalities on a time scale T . These inequalities when T = N contain the discrete inequalities due to Bennett and Leindler which are converses of Copson’s inequalities. The main results will be proved using the Hölder inequality and Keller’s chain rule on time scales. Mathematics subject classification (2010): 26A15, 26D10, 26D15, 39A13, 34A40. 34...

Converses For Discrete Memoryless Multiterminal Networks

In this paper we show that the “potential function method” can provide a unified framework for proving converses for problems of determining the rate region of multiterminal communication networks. In this method, for a given network structure, we simultaneously consider all possible networks compatible with that structure and think of the rate region as a function from such networks to subsets...

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