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Weak notions of Jacobian determinant and relaxation
"... In this paper we study two weak notions of Jacobian determinant for Sobolev maps, namely the distributional Jacobian and the relaxed total variation, which in general could be different. We show some cases of equality and use them to give an explicit expression for the relaxation of some polyconvex ..."
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In this paper we study two weak notions of Jacobian determinant for Sobolev maps, namely the distributional Jacobian and the relaxed total variation, which in general could be different. We show some cases of equality and use them to give an explicit expression for the relaxation of some polyconvex
A Weak Notion of Equivalence in Bayesian Statistical Theory∗
"... Throughout this section, (Ω,A,P) will be a statistical experiment, i.e., P is a family of probability measures on the measurable space (Ω,A). The paper [2] introduces a weak notion of equivalence of σfields to establish a right statement of part (i) of Theorem 4 of [1]. In a statistical ..."
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Throughout this section, (Ω,A,P) will be a statistical experiment, i.e., P is a family of probability measures on the measurable space (Ω,A). The paper [2] introduces a weak notion of equivalence of σfields to establish a right statement of part (i) of Theorem 4 of [1]. In a statistical
Weak Notions of Normality and Vanishing up to Rank
"... We study vanishing results for L2cohomology of countable groups under the presence of subgroups that satisfy some weak normality condition. As a consequence, we show that the L2Betti numbers of SLn(R) for any infinite integral domain R vanish below degree n − 1. Another application is the vanishin ..."
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Cited by 1 (0 self)
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We study vanishing results for L2cohomology of countable groups under the presence of subgroups that satisfy some weak normality condition. As a consequence, we show that the L2Betti numbers of SLn(R) for any infinite integral domain R vanish below degree n − 1. Another application
The strength of weak learnability
 MACHINE LEARNING
, 1990
"... This paper addresses the problem of improving the accuracy of an hypothesis output by a learning algorithm in the distributionfree (PAC) learning model. A concept class is learnable (or strongly learnable) if, given access to a Source of examples of the unknown concept, the learner with high prob ..."
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Cited by 871 (26 self)
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probability is able to output an hypothesis that is correct on all but an arbitrarily small fraction of the instances. The concept class is weakly learnable if the learner can produce an hypothesis that performs only slightly better than random guessing. In this paper, it is shown that these two notions
On The Equivalence Of Various Weak Notions Of Solutions Of Elliptic Pdes With Measurable Ingredients
 Progress in Elliptic and Parabolic Partial Differential Equations
, 1996
"... this paper it is assumed that F satisfies the structure conditions (0.3) and (0.4), which we abbreviate to "F has structure": ..."
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Cited by 5 (0 self)
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this paper it is assumed that F satisfies the structure conditions (0.3) and (0.4), which we abbreviate to "F has structure":
A WEAK NOTION OF STRICT PSEUDOCONVEXITY. APPLICATIONS AND EXAMPLES.
, 906
"... Abstract. Let Ω be a bounded C ∞smoothly bounded domain in C n. For such a domain we define a new notion between strict pseudoconvexity and pseudoconvexity: the size of the set W of weakly pseudoconvex points on ∂Ω is small with respect to Minkowski dimension: near each point in the boundary ∂Ω, ..."
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Cited by 1 (1 self)
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Abstract. Let Ω be a bounded C ∞smoothly bounded domain in C n. For such a domain we define a new notion between strict pseudoconvexity and pseudoconvexity: the size of the set W of weakly pseudoconvex points on ∂Ω is small with respect to Minkowski dimension: near each point in the boundary ∂Ω
Determinants of Economic Growth: A CrossCountry Empirical Study
, 1996
"... Empirical findings for a panel of around 100 countries from 1960 to 1990 strongly support the general notion of conditional convergence. For a given starting level of real per capita GDP, the growth rate is enhanced by higher initial schooling and life expectancy, lower fertility, lower government c ..."
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Cited by 892 (12 self)
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Empirical findings for a panel of around 100 countries from 1960 to 1990 strongly support the general notion of conditional convergence. For a given starting level of real per capita GDP, the growth rate is enhanced by higher initial schooling and life expectancy, lower fertility, lower government
A calculus of mobile processes, I
, 1992
"... We present the acalculus, a calculus of communicating systems in which one can naturally express processes which have changing structure. Not only may the component agents of a system be arbitrarily linked, but a communication between neighbours may carry information which changes that linkage. The ..."
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Cited by 1184 (31 self)
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the corresponding notion of weak bisimulation, in which internal actions cannot be observed.
Results 1  10
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3,103