翻訳と辞書 Words near each other ・ Distribution (economics) ・ Distribution (mathematics) ・ Distribution (number theory) ・ Distribution (pharmacology) ・ Distribution 360 ・ Distribution algebra ・ Distribution amplifier ・ Distribution board ・ Distribution center ・ Distribution center management system ・ Distribution constant ・ Distribution deal ・ Distribution ensemble ・ Distribution fitting ・ Distribution frame ・ Distribution function ・ Distribution law ・ Distribution learning theory ・ Distribution list ・ Distribution management system ・ Distribution Media Format ・ Distribution network operator ・ Distribution of Heliamphora ・ Distribution of Industry Act 1945 ・ Distribution of Industry Act 1950 ・ Distribution of justice ・ Distribution of lightning ・ Distribution of orchid species ・ Distribution of Scheduled Castes by District in Uttar Pradesh ・ Distribution of seats in the Austrian Landtage Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Distribution function ： ウィキペディア英語版 Distribution function :''This article describes the ''distribution function'' as used in physics. You may be looking for the related mathematical concepts of cumulative distribution function or probability density function.'' In molecular kinetic theory in physics, a particle's distribution function is a function of seven variables, $f(x,y,z,t;v\_x,v\_y,v\_z)$, which gives the number of particles per unit volume in single-particle phase space. It is the number of particles per unit volume having approximately the velocity $(v\_x,v\_y,v\_z)$ near the place $(x,y,z)$ and time $(t)$. The usual normalization of the distribution function is :$n(x,y,z,t)\; =\; \backslash int\; f\; \backslash ,dv\_x\; \backslash ,dv\_y\; \backslash ,dv\_z$ :$N(t)\; =\; \backslash int\; n\; \backslash ,dx\; \backslash ,dy\; \backslash ,dz.$ Here, N is the total number of particles and ''n'' is the number density of particles - the number of particles per unit volume, or the density divided by the mass of individual particles. A distribution function may be specialised with respect to a particular set of dimensions. E.g. take the quantum mechanical six-dimensional phase space, $f(x,y,z;p\_x,p\_y,p\_z)$ and multiply by the total space volume, to give the momentum distribution i.e. the number of particles in the momentum phase space having approximately the momentum $(p\_x,p\_y,p\_z)$. Particle distribution functions are often used in plasma physics to describe wave–particle interactions and velocity-space instabilities. Distribution functions are also used in fluid mechanics, statistical mechanics and nuclear physics. The basic distribution function uses the Boltzmann constant $k$ and temperature $T$ with the number density to modify the normal distribution: :$f\; =\; n\backslash left(\backslash frac\backslash right)^\; \backslash exp\backslash left(\}\backslash right).$ Related distribution functions may allow bulk fluid flow, in which case the velocity origin is shifted, so that the exponent's numerator is $m((v\_x\; -\; u\_x)^2\; +\; (v\_y\; -\; u\_y)^2\; +\; (v\_z\; -\; u\_z)^2)$; $(u\_x,\; u\_y,\; u\_z)$ is the bulk velocity of the fluid. Distribution functions may also feature non-isotropic temperatures, in which each term in the exponent is divided by a different temperature. Plasma theories such as magnetohydrodynamics may assume the particles to be in thermodynamic equilibrium. In this case, the distribution function is ''Maxwellian''. This distribution function allows fluid flow and different temperatures in the directions parallel to, and perpendicular to, the local magnetic field. More complex distribution functions may also be used since plasmas are rarely in thermal equilibrium. The mathematical analog of a distribution is a measure; the time evolution of a measure on a phase space is the topic of study in dynamical systems. nl:Verdelingsfunctie 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Distribution function」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.