Results 271 to 280 of about 8,257,314 (311)

Law of normal scattering--a comprehensive law for wave propagation at an interface

Journal of the Optical Society of America A, 2007
The fundamental laws of wave propagation at an interface, the laws of reflection, refraction, and diffraction are arrived at from a consideration of wave scattering from an array of scattering centers. It is shown that the number, spacing, and dimension of the scattering centers decide whether the laws of reflection and refraction or the more ...
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A NORMAL FORM FOR THE FREE LEFT DISTRIBUTIVE LAW

International Journal of Algebra and Computation, 1994
We construct a new normal form for one variable terms up to left distributivity. The proof that this normal form exists for every term is considerably simpler than the corresponding proof for the forms previously introduced by Richard Laver. In particular the determination of the present normal form can be made in a primitive recursive way.
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Inequalities Related to the Normal Law

1978
In the important case of a symmetric distribution, it is shown that the familiar approximation leading to the normal law is actually an estimate from above. A more elementary inequality is presented first; this is much easier to prove than the final result, but it leads, nevertheless, to the solution of a nontrivial maximizing problem.
Alexander M. Ostrowski, Raymond M. Redheffer   +1 more
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Sex, Status, and the Normalization of the Law

T’oung Pao, 2013
When the Qing court adjudicated illicit sex cases involving imperial clansmen, a clear distinction was made between the nature of the crime and the applicability of punishment. This distinction reveals an imbalance in the way law was normalized in Qing China. Definitions of illicit sexual behavior reflected a relatively uniform standard that applied to
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Rate of Convergence to the Normal Law

1980
Let f(n) be a strongly additive arithmetic function. Define the real functions $$\begin{gathered} A(x) = \sum\limits_{p \leqslant x} {\frac{{f(p)}}{p}} , \hfill \\ B(x) = \left( {\sum\limits_{p \leqslant x} {\frac{{f(p)^2 }}{p}} } \right)^{1/2} \geqslant 0 \hfill \\ \end{gathered}$$ (1) .
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Characterisations of the Normal Law

International Statistical Review / Revue Internationale de Statistique, 1980
Maurice Kenda, A. M. Mathai, G. Pederzoli   +2 more
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On the Approximation of Convolutions by Normal Laws

Theory of Probability & Its Applications, 1978
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The accumulative law and its probability model: an extension of the Pareto distribution and the log-normal distribution

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2020
Minyu Feng, Matjaz Perc, Juergen Kurths   +2 more
exaly  

Quasi-Static Variation of Power-Law and Log-Normal Distributions of Urban Population

Entropy, 2021
Takayuki Mizuno, Atushi Ishikawa, Arturo Ramos   +2 more
exaly  

On Normalization in the Law of the Iterated Logarithm

Theory of Probability & Its Applications, 1978
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