Results 271 to 280 of about 15,343,912 (311)

Coherent state and normal ordering method for transiting Hermite polynomials to Laguerre polynomials

Science China: Physics, Mechanics and Astronomy, 2012
Hongyi Fan
exaly   +2 more sources

On Orders in Normal Cryptogroups

Results in Mathematics, 2011
Given a semigroup \(Q\), a subsemigroup \(S\) of \(Q\) is said to be an \textit{order} in \(Q\) if every element of \(Q\) is a ``quotient'' of elements of \(S\), i.e., for all \(q\in Q\) there exist \(a,b,c,d\in S\) such that \(a\) and \(d\) belong to (maximal) subgroups of \(Q\) and \(q=a^{-1}b=cd^{-1}\), where \(a^{-1}\) and \(d^{-1}\) are the ...
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Normally Ordered Inverse Semigroups

Semigroup Forum, 1998
Let \(S\) be an inverse semigroup and \(E\) the set of its idempotents. Suppose that there exists a partial order \(\ll\) on \(E\) such that two idempotents are \(\ll\)-comparable if and only if they belong to the same \(\mathcal J\)-class of \(S\) and, for all \(s\in S\) and \(e,f\in Ess^{-1}\), \(e\ll f\) implies \(s^{-1}es\ll s^{-1}fs\).
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Hölder-Continuous Rough Paths by Fourier Normal Ordering

, 2009
We construct in this article an explicit geometric rough path over arbitrary d-dimensional paths with finite 1/α-variation for any $${\alpha\in(0,1)}$$. The method may be coined as ‘Fourier normal ordering’, since it consists in a regularization obtained
J. Unterberger
semanticscholar   +1 more source

Ordered pair of normalized real numbers

Information Sciences, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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DISPERSIVE ORDERING FOR THE MULTIVARIATE NORMAL DISTRIBUTION

Probability in the Engineering and Informational Sciences, 2016
Let (X1, …, Xn) be a multivariate normal random vector with any mean vector, variances equal to 1 and covariances equal and positive. Turner and Whitehead [9] established that the largest order statistic max{X1, …, Xn} is less than the standard normal random variable in the dispersive order.
Leng, Xuan, Zhuang, Jinsen, Hu, Taizhong
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The Boson Normal Ordering Problem and Generalized Bell Numbers

, 2002
For any function F(x) having a Taylor expansion we solve the boson normal ordering problem for $F [(a^\dag)^r a^s]$, with r, s positive integers, $F [(a, a^\dag]=1$, i.e., we provide exact and explicit expressions for its normal form $\mathcal{N} \{F ...
P. Blasiak, K. Penson, A. Solomon
semanticscholar   +1 more source

Stochastic Ordering of Multivariate Normal Distributions

Annals of the Institute of Statistical Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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In Normal Order

This chapter explores how early Cold War anti-communism played out in the AFL’s Hotel & Restaurant Employees union, with battles over membership bans, trusteeships, and government deportation from 1945 to 1947, culminating in a tentative peace agreement.
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Normal ordering and generalised Stirling numbers

Journal of Physics A: Mathematical and General, 1985
The paper concerns applications of combinatorial methods to ordering of functions of non-commuting variables in quantum mechanics. The author shows the relation between some normal ordering forms for boson operator function and generalized Stirling numbers.
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