Results 1  10
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16,299
On certain positive integer sequences
, 2004
"... A survey of recent results in elementary number theory is presented in this paper. Special attention is given to structure and asymptotic properties of certain families of positive integers. In particular, a conjecture on complete sequences of Burr, Erdős, Graham and WenChing Li is amended. ..."
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A survey of recent results in elementary number theory is presented in this paper. Special attention is given to structure and asymptotic properties of certain families of positive integers. In particular, a conjecture on complete sequences of Burr, Erdős, Graham and WenChing Li is amended.
PROBABILITY INEQUALITIES FOR SUMS OF BOUNDED RANDOM VARIABLES
, 1962
"... Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for Pr(SES> nt) depend only on the endpoints of the ranges of the s ..."
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Cited by 2215 (2 self)
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Upper bounds are derived for the probability that the sum S of n independent random variables exceeds its mean ES by a positive number nt. It is assumed that the range of each summand of S is bounded or bounded above. The bounds for Pr(SES> nt) depend only on the endpoints of the ranges
InductiveDataType Systems
, 2002
"... In a previous work ("Abstract Data Type Systems", TCS 173(2), 1997), the leI two authors presented a combined lmbined made of a (strongl normal3zG9 alrmal rewrite system and a typed #calA#Ik enriched by patternmatching definitions folnitio a certain format,calat the "General Schem ..."
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Cited by 821 (23 self)
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In a previous work ("Abstract Data Type Systems", TCS 173(2), 1997), the leI two authors presented a combined lmbined made of a (strongl normal3zG9 alrmal rewrite system and a typed #calA#Ik enriched by patternmatching definitions folnitio a certain format,calat the "
Illusion and wellbeing: A social psychological perspective on mental health.
 Psychological Bulletin,
, 1988
"... Many prominent theorists have argued that accurate perceptions of the self, the world, and the future are essential for mental health. Yet considerable research evidence suggests that overly positive selfevaluations, exaggerated perceptions of control or mastery, and unrealistic optimism are charac ..."
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Cited by 988 (20 self)
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in normal human cognition (see Fiske& Taylor, 1984; In this article, we review research suggesting that certain illusions may be adaptive for mental health and wellbeing. In particular, we examine evidence that a set of interrelated positive illusionsnamely, unrealistically positive self
An empirical comparison of voting classification algorithms: Bagging, boosting, and variants.
 Machine Learning,
, 1999
"... Abstract. Methods for voting classification algorithms, such as Bagging and AdaBoost, have been shown to be very successful in improving the accuracy of certain classifiers for artificial and realworld datasets. We review these algorithms and describe a large empirical study comparing several vari ..."
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Cited by 707 (2 self)
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Abstract. Methods for voting classification algorithms, such as Bagging and AdaBoost, have been shown to be very successful in improving the accuracy of certain classifiers for artificial and realworld datasets. We review these algorithms and describe a large empirical study comparing several
Policy gradient methods for reinforcement learning with function approximation.
 In NIPS,
, 1999
"... Abstract Function approximation is essential to reinforcement learning, but the standard approach of approximating a value function and determining a policy from it has so far proven theoretically intractable. In this paper we explore an alternative approach in which the policy is explicitly repres ..."
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Cited by 439 (20 self)
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proportional to the gradient: where α is a positivedefinite step size. If the above can be achieved, then θ can usually be assured to converge to a locally optimal policy in the performance measure ρ. Unlike the valuefunction approach, here small changes in θ can cause only small changes in the policy
Representations of integers by certain positive definite binary quadratic forms
"... We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n = x² + Ny² for a squarefree integer N. ..."
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Cited by 4 (2 self)
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We prove part of a conjecture of Borwein and Choi concerning an estimate on the square of the number of solutions to n = x² + Ny² for a squarefree integer N.
TERNARY QUADRATIC FORMS, MODULAR EQUATIONS AND CERTAIN POSITIVITY CONJECTURES.
, 2009
"... We show that many of Ramanujan’s modular equations of degree 3 can be interpreted in terms of integral ternary quadratic forms. This way we establish that for any n ∈ N j ˛ n = j ˛ n = x(x + 1) 2 x(x + 1) ..."
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Cited by 3 (3 self)
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We show that many of Ramanujan’s modular equations of degree 3 can be interpreted in terms of integral ternary quadratic forms. This way we establish that for any n ∈ N j ˛ n = j ˛ n = x(x + 1) 2 x(x + 1)
FILTRATIONS AND COMPLETIONS OF CERTAIN POSITIVE LEVEL MODULES OF AFFINE ALGEBRAS
, 2003
"... This paper was motivated by an effort to understand the representation theoretic meaning of the results of [14, 15, 23] on realizations of (pseudo)crystal bases of certain quantum loop modules in the framework of Littelmann’s path model. These papers showed in particular, that one could write the t ..."
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Cited by 2 (0 self)
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This paper was motivated by an effort to understand the representation theoretic meaning of the results of [14, 15, 23] on realizations of (pseudo)crystal bases of certain quantum loop modules in the framework of Littelmann’s path model. These papers showed in particular, that one could write
THE OTRANSFORMATION OF CERTAIN POSITIVE LINEAR OPERATORS ALEANDRU LUPA$
, 1994
"... ABSTRACT. The intention of this paper is to describe a const,’uction method for a new sequence of linear positive operators, which enables us to get a pointwise order of approximation regarding the polynomial sun’tmator operators which have "best " properties of approximation. KEY WORDS AN ..."
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ABSTRACT. The intention of this paper is to describe a const,’uction method for a new sequence of linear positive operators, which enables us to get a pointwise order of approximation regarding the polynomial sun’tmator operators which have "best " properties of approximation. KEY WORDS
Results 1  10
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16,299