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2016
AbstractThe concepts that were advanced in Chapter 1 are defined formally here for classical systems described by Hamilton equations. The need for a statistical description of the system dynamics is justified, leading to the definition of the phase-space distribution function.
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AbstractThe concepts that were advanced in Chapter 1 are defined formally here for classical systems described by Hamilton equations. The need for a statistical description of the system dynamics is justified, leading to the definition of the phase-space distribution function.
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The Wigner Function as Distribution Function
Foundations of Physics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Duality of Distribution Functions
Mathematische Nachrichten, 1986The author considers distribution functions (d.f.) F of non-negative random variables. If \(x\geq 0\) is a continuity point then F can be represented by the two inversion formulas \[ F(x)=(2/\pi)\int^{\infty}_{0}\sin xu \frac{Re f(u)}{u} du\quad and\quad 1-F(x)=(2/\pi)\int^{\infty}_{0}\cos xu \frac{Im f(u)}{u} du.
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Arithmetical Functions and Distributivity
Canadian Mathematical Bulletin, 1970In this note we shall present a result about incidence functions on a locally finite partially ordered set, a result which is related to theorems of Lambek [2] and Subbarao [6]. Our terminology and notation will be that of Smith [4, 5] and Rota [7].Let (L, ≤) be a partially ordered set which is locally finite in the sense that for all x, y ∊ L the ...
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Structural Analysis of Molecular Materials Using the Pair Distribution Function
Chemical Reviews, 2022Maxwell W Terban, Simon Billinge
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Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review
Ca-A Cancer Journal for Clinicians, 2022Deborah C Marshall, Mas +2 more
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