Results 41 to 50 of about 13,167,523 (376)
Proceedings of the American Mathematical Society, 1971 We prove that for any r r , “ entropy = r \operatorname {entropy} = r ” is a dense condition in the uniform topology.
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On the density dependence of the mean density approximation [PDF]
Journal of Physics F: Metal Physics, 1985 The density dependence of the effective pair potential has been used to obtain generalisations of the mean density approximation for liquid structure factors at long wavelengths.
Michalewicz Marek, McLaughlin I.L.
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Monitoring BaTiO3 sintering using nanosecond pulsed electric field
Science and Technology of Advanced Materials: MethodsSintering is a critical process in ceramic fabrication, conducted in electric furnaces. However, the conditions within these furnaces remain largely unobservable, necessitating the development of real-time monitoring techniques.
Hiroyuki Saito +7 more
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Screening in orbital-density-dependent functionals
, 2017 Electronic-structure functionals that include screening effects, such as Hubbard or Koopmans' functionals, require to describe the response of a system to the fractional addition or removal of an electron from an orbital or a manifold. Here, we present a
Colonna, Nicola +3 more
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On Estimation of a Probability Density Function and Mode
, 1962 : Given a sequence of independent identically distributed random variables with a common probability density function, the problem of the estimation of a probability density function and of determining the mode of a probability function are discussed ...
E. Parzen
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The Journal of Symbolic Logic, 2021 AbstractWe define a new type of “shatter function” for set systems that satisfies a Sauer–Shelah type dichotomy, but whose polynomial-growth case is governed by Shelah’s two-rank instead of VC dimension. We identify the least exponent bounding the rate of growth of the shatter function, the quantity analogous to VC density, with Shelah’s $\omega ...
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Bioinform., 2003 MOTIVATION When running experiments that involve multiple high density oligonucleotide arrays, it is important to remove sources of variation between arrays of non-biological origin. Normalization is a process for reducing this variation. It is common to
B. Bolstad +3 more
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Journal of Number Theory, 1987 The authors investigate certain relations between the asymptotic densities of subsets of a set \(A=\{m_ 1,m_ 2,...\}\) of positive integers and the lengths of gaps in A by means of the ''analytical'' properties of the two-dimensional set \(S(A)=\{(\underline d(B),\bar d(B))\in {\mathbb{R}}^ 2\); \(B\subseteq A\}\), where ḏ(B) and \(\bar d(B)\) denote ...
Georges Grekos, Bodo Volkmann
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Self-interaction correction to density-functional approximations for many-electron systems
, 1981 exchange and correlation, are not. We present two related methods for the self-interaction correction (SIC) of any density functional for the energy; correction of the self-consistent one-electron potenial follows naturally from the variational principle.
J. Perdew, A. Zunger
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