منابع مشابه
From Almost Gaussian to Gaussian
We consider lower and upper bounds on the difference of differential entropies of a Gaussian random vector and an approximately Gaussian random vector after they are “smoothed” by an arbitrarily distributed random vector of finite power. These bounds are important to establish the optimality of the corner points in the capacity region of Gaussian interference channels. A problematic issue in a ...
متن کاملAlmost Condensed Domains
As an extension of the class of half condensed domains introduced by D.D. Anderson and Dumitrescu, we introduce and study the class of almost condensed domains. An integral domain D is almost condensed if whenever 0 ̸= z ∈ IJ with I, J ideals of D, there exist I ′, J ′ ideals of D such that I ′ ⊆ Iw, J ′ ⊆ Jw and zD = (I ′J )w. In 1983, D.F. Anderson and D.E. Dobbs [13] called an integral domain...
متن کاملFrom Almost Gaussian to Gaussian Bounding Differences of Differential Entropies
We consider lower and upper bounds on the difference of differential entropies of a Gaussian random vector and an almost Gaussian random vector after both are “smoothed” by an arbitrarily distributed random vector of finite power. These bounds are important to prove the optimality of corner points in the capacity region of Gaussian interference channels. The upper bound, presented in MaxEnt-201...
متن کاملTilting Modules over Almost Perfect Domains
We provide a complete classification of all tilting modules and tilting classes over almost perfect domains, which generalizes the classifications of tilting modules and tilting classes over Dedekind and 1-Gorenstein domains. Assuming the APD is Noetherian, a complete classification of all cotilting modules is obtained (as duals of the tilting ones).
متن کاملAlmost Splitting Sets and Agcd Domains
Let D be an integral domain. A multiplicative set S of D is an almost splitting set if for each 0 6= d ∈ D, there exists an n = n(d) with dn = st where s ∈ S and t is v-coprime to each element of S. An integral domain D is an almost GCD (AGCD) domain if for every x, y ∈ D, there exists a positive integer n = n(x, y) such that xnD ∩ ynD is a principal ideal. We prove that the polynomial ring D[X...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1965
ISSN: 0019-2082
DOI: 10.1215/ijm/1256059296