منابع مشابه
A Generalization of the Strong Castelnuovo Lemma
We consider a set X of distinct points in the n-dimensional projective space over an algebraically closed field k. Let A denote the coordinate ring of X , and let ai(X) = dimk[Tor R i (A, k)]i+1. Green’s Strong Castelnuovo Lemma (SCL) shows that if the points are in general position, then an−1(X) 6= 0 if and only if the points are on a rational normal curve. Cavaliere, Rossi and Valla conjectur...
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1. THE PROBLEM One of the most familiar brand names in the world of toys is Lego ; the name immediately brings interlocking building blocks to mind. Interlocking blocks fit together in restricted ways. Typically, a block of order q (length q+ 1) has q +1 protrusions on its top and q + 1 indentations on its bottom, so that the indentations on the bottom of one block can lock on to the protrusion...
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The hypothesis testing problem of two quantum states is treated. We show a new inequality between the error of the first kind and the second kind, which complements the result of Hiai and Petz to establish the quantum version of Stein’s lemma. The inequality is also used to show a bound on the first kind error when the power exponent for the second kind error exceeds the quantum relative entrop...
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The regularity lemma of Szemerédi asserts that one can partition every graph into a bounded number of quasi-random bipartite graphs. In some applications however, one would like to have a strong control on how quasi-random these bipartite graphs are. Alon, Fischer, Krivelevich and Szegedy obtained a powerful variant of the regularity lemma, which allows one to have an arbitrary control on this ...
متن کاملStrong converse and Stein's lemma in quantum hypothesis testing
The hypothesis testing problem of two quantum states is treated. We show a new inequality between the error of the first kind and the second kind, which complements the result of Hiai and Petz to establish the quantum version of Stein’s lemma. The inequality is also used to show a bound on the first kind error when the power exponent for the second kind error exceeds the quantum relative entrop...
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ژورنال
عنوان ژورنال: Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie
سال: 2016
ISSN: 2222-4173,0254-3486
DOI: 10.4102/satnt.v35i1.1415