منابع مشابه
Lecture 17 — April 8 , 2010
Euler Tour trees are due to Henzinger and King [1] and are an alternative to link-cut trees for representing dynamic trees. Euler tour trees are simpler and easier to analyze than link-cut trees, but do not naturally store aggregate information about paths in the tree. Euler tour trees are well suited for storing aggregate information on subtrees, which is a feature we will use in the next sect...
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Let $R$ be a ring, and let $n, d$ be non-negative integers. A right $R$-module $M$ is called $(n, d)$-projective if $Ext^{d+1}_R(M, A)=0$ for every $n$-copresented right $R$-module $A$. $R$ is called right $n$-cocoherent if every $n$-copresented right $R$-module is $(n+1)$-coprese-nted, it is called a right co-$(n,d)$-ring if every right $R$-module is $(n, d)$-projective. $R$...
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Let Gn : C → C denote the PGD updates at the n-sample level—that is, as applied to the objective function Ln(θ) = 1 n ∑n i=1 `i(θ;Zi). Similarly, let G denote the projected gradient operator as applied at the population level (to the function L̄ = ELn(θ)). Our goal is to bound the error ‖θ − θ‖2. Last lecture, we showed that if the population loss L̄ : C → R is (γ`, γμ) {strongly convex, smooth},...
متن کامل$n$-cocoherent rings, $n$-cosemihereditary rings and $n$-v-rings
let $r$ be a ring, and let $n, d$ be non-negative integers. a right $r$-module $m$ is called $(n, d)$-projective if $ext^{d+1}_r(m, a)=0$ for every $n$-copresented right $r$-module $a$. $r$ is called right $n$-cocoherent if every $n$-copresented right $r$-module is $(n+1)$-coprese-nted, it is called a right co-$(n,d)$-ring if every right $r$-module is $(n, d)$-projective. $r$ ...
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In many circumstances the perfect fluid conservation equations can be directly integrated to give a Geometric-Thermodynamic equation: typically that the lapse N is the reciprocal of the enthalphy h, (N = 1/h). This result is aesthetically appealing as it depends only on the fluid conservation equations and does not depend on specific field equations such as Einstein’s. Here the form of the Geom...
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ژورنال
عنوان ژورنال: HORIZONTE
سال: 2010
ISSN: 2175-5841,1679-9615
DOI: 10.5752/1910