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6,224
On a strong version of the Kepler conjecture
, 2013
"... We raise and investigate the following problem which one can regard as a very close relative of the densest sphere packing problem. If the Euclidean 3space is partitioned into convex cells each containing a unit ball, how should the shapes of the cells be designed to minimize the average surface ar ..."
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We raise and investigate the following problem which one can regard as a very close relative of the densest sphere packing problem. If the Euclidean 3space is partitioned into convex cells each containing a unit ball, how should the shapes of the cells be designed to minimize the average surface area of the cells? In particular, we prove that the average surface area in question is always at least 24/√3 = 13.8564....
A Theory of Focus Interpretation
"... More or less final version. To appear in Natural Language Semantics. According to the alternative semantics for focus, the semantic reflex of intonational focus is a second semantic value, which in the case of a sentence is a set of propositions. We examine a range of semantic and pragmatic applicat ..."
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Cited by 488 (6 self)
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applications of the theory, and extract a unitary principle specifying how the focus semantic value interacts with semantic and pragmatic processes. A strong version of the theory has the effect of making lexical or constructionspecific stipulation of a focusrelated effect in association with focus
Leibniz Filters and the Strong Version of a Protoalgebraic Logic
"... A filter of a sentential logic S is Leibniz when it is the smallest one among all the Sfilters on the same algebra having the same Leibniz congruence. This paper studies these filters and the sentential logic S + + + defined by the class of all Smatrices whose filter is Leibniz, which is ..."
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Cited by 8 (3 self)
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is called the strong version of S , in the context of protoalgebraic logics with theorems. Topics studied include an enhanced Correspondence Theorem, characterizations of the weak algebraizability of S + + + and of the explicit definability of Leibniz filters, and several theorems of transfer
Depth first search and linear graph algorithms
 SIAM JOURNAL ON COMPUTING
, 1972
"... The value of depthfirst search or "backtracking" as a technique for solving problems is illustrated by two examples. An improved version of an algorithm for finding the strongly connected components of a directed graph and ar algorithm for finding the biconnected components of an undirect ..."
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Cited by 1406 (19 self)
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The value of depthfirst search or "backtracking" as a technique for solving problems is illustrated by two examples. An improved version of an algorithm for finding the strongly connected components of a directed graph and ar algorithm for finding the biconnected components
Principles and Practice in Second Language Acquisition
, 1982
"... This is the original version of Principles and Practice, as published in 1982, with only minor changes. It is gratifying to point out that many of the predictions made in this book were confirmed by subsequent research, for example, the superiority of comprehensibleinput based methods and sheltered ..."
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Cited by 775 (4 self)
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This is the original version of Principles and Practice, as published in 1982, with only minor changes. It is gratifying to point out that many of the predictions made in this book were confirmed by subsequent research, for example, the superiority of comprehensibleinput based methods
A COUNTEREXAMPLE TO THE STRONG VERSION OF FREEDMAN’S CONJECTURE
, 2006
"... Abstract. A longstanding conjecture due to Michael Freedman asserts that the 4dimensional topological surgery conjecture fails for nonabelian free groups, or equivalently that a family of canonical examples of links (the generalized Borromean rings) are not A−B slice. A stronger version of the co ..."
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Cited by 5 (3 self)
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Abstract. A longstanding conjecture due to Michael Freedman asserts that the 4dimensional topological surgery conjecture fails for nonabelian free groups, or equivalently that a family of canonical examples of links (the generalized Borromean rings) are not A−B slice. A stronger version
A strong version of Liouville’s theorem
 Amer. Math. Monthly
"... Liouville’s theorem states that every bounded holomorphic function on C is constant. Let us recall that holomorphic functions f on open subsets U of the complex plane have the mean value property, that is, for every closed disk B(z, r) in U, the value of f at its center z is equal to the average of ..."
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Cited by 3 (3 self)
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Liouville’s theorem states that every bounded holomorphic function on C is constant. Let us recall that holomorphic functions f on open subsets U of the complex plane have the mean value property, that is, for every closed disk B(z, r) in U, the value of f at its center z is equal to the average of the values of f on the circle S(z, r) = ∂B(z, r). In this paper, we shall present an elementary proof for the following stronger result (where, as usual, we do not distinguish between C and R2): Theorem 1.1. Let r be a strictly positive real function on R2 such that, for some real constant M> 0, (1.1) r(x) ≤ x+M, whenever x  ≥M. Then constant functions are the only continuous bounded realvalued functions f on R2 satisfying (1.2) f(x) =
1 STRONG VERSIONS OF THE DFR PROPERTY 1
"... This paper investigates two district subclasses of DFR distributions that exhibit strong forms of nonaging behaviour. Our results characterize such distributions through several representation theorems and consider associated consequences such as closure properties and reliability bounds for dist ..."
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This paper investigates two district subclasses of DFR distributions that exhibit strong forms of nonaging behaviour. Our results characterize such distributions through several representation theorems and consider associated consequences such as closure properties and reliability bounds
STRONG VERSIONS OF THE THEOREMS OF WEIERSTRASS, MONTEL AND HURWITZ
"... In this article, using the notion of statistical convergence, we relax the hypotheses of the wellknown theorems from classical complex analysis, such as Weierstrass ’ Theorem, Montel’s Theorem and Hurwitz’s Theorem. So, we obtain more powerful results than the classical ones in complex analysis. ..."
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In this article, using the notion of statistical convergence, we relax the hypotheses of the wellknown theorems from classical complex analysis, such as Weierstrass ’ Theorem, Montel’s Theorem and Hurwitz’s Theorem. So, we obtain more powerful results than the classical ones in complex analysis.
Results 1  10
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6,224