Results 61 to 70 of about 57,510 (165)
Frontiers in Computational Neuroscience, 2014 A major source of random variability in cortical networks is the quasi-random arrival of presynaptic action potentials from many other cells. In network studies as well as in the study of the response properties of single cells embedded in a network ...
Benjamin eDummer +5 more
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Shape Preserving Properties for q-Bernstein-Stancu Operators
Journal of Mathematics, 2014 We investigate shape preserving for q-Bernstein-Stancu polynomials Bnq,α(f;x) introduced by Nowak in 2009. When α=0, Bnq,α(f;x) reduces to the well-known q-Bernstein polynomials introduced by Phillips in 1997; when q=1, Bnq,α(f;x) reduces to Bernstein ...
Yali Wang, Yinying Zhou
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Journal of Algebra, 1994 The first part of this paper generalizes some results -- obtained by the author in previous papers about genetic Bernstein algebras, to Bernstein algebras that are not necessarily genetic; first, modular non-trivial Bernstein algebras and exclusive algebras are studied.
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A Generalization of the Bernstein Polynomials
Journal of Mathematical Analysis and Applications, 1997 The author generalizes the Bernstein polynomials by taking averages of point evaluations of the function \(f\) instead of the usual values \(f(i/n)\). The number of point evaluations \(s_n\) taken for the \(n\)th polynomial, may grow to \(\infty\) as \(n\to\infty\), but it is necessary and sufficient for insuring approximation of continuous functions ...
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Bernstein Approximations for Fuzzy-Valued Functions
MathematicsStudying the Bernstein approximations for fuzzy functions is a new attempt. With the help of considering the support functions of fuzzy sets in which the weak* topology for the normed dual space is involved, we are able to approximate continuous fuzzy ...
Hsien-Chung Wu
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Sandwich Bernstein-Sato Polynomials and Bernstein's Inequality
Bernstein's inequality is a central result in the theory of $D$-modules on smooth varieties. While Bernstein's inequality fails for rings of differential operators on general singularities, recent work of Àlvarez Montaner, Hernández, Jeffries, Núñez-Betancourt, Teixeira, and Witt establishes Bernstein's inequality for invariants of finite groups in ...
Jeffries, Jack, Lieberman, David
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ACM Transactions on GraphicsSystematically simulating specular light transport requires an exhaustive search for triangle tuples containing admissible paths. Given the extreme inefficiency of enumerating all combinations, we significantly reduce the search domain by stochastically sampling such tuples.
Zhimin Fan 0001 +7 more
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FilomatIn this current study, we introduce a new operator called the P-Bernstein operator derived through the utilization of ?P-factorial? (Pell factorial) and ?Pellnomial? (Pell binomial). Subsequently, we investigate the fundamental properties of the P-Bernstein basis polynomials.
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