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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Crystal Ball function ： ウィキペディア英語版 Crystal Ball function The Crystal Ball function, named after the Crystal Ball Collaboration (hence the capitalized initial letters), is a probability density function commonly used to model various lossy processes in high-energy physics. It consists of a Gaussian core portion and a power-law low-end tail, below a certain threshold. The function itself and its first derivative are both continuous. The Crystal Ball function is given by: : A \cdot (B - \frac)^, & \mbox\frac \leqslant -\alpha \end where :$A\; =\; \backslash left(\backslash frac\backslash right)^n\; \backslash cdot\; \backslash exp\backslash left(-\; \backslash frac\; \backslash right)$, :$B\; =\; \backslash frac\; -\; \backslash left|\; \backslash alpha\; \backslash right|$, :$N\; =\; \backslash frac$ :$C\; =\; \backslash frac\; \backslash cdot\; \backslash frac\; \backslash cdot\; \backslash exp\backslash left(-\; \backslash frac\; \backslash right)$ :$D\; =\; \backslash sqrt\}\; \backslash left(1\; +\; \backslash operatorname\backslash left(\backslash frac\backslash right)\backslash right)$ $N$ (Skwarnicki 1986) is a normalization factor and $\backslash alpha$, $n$, $\backslash bar\; x$ and $\backslash sigma$ are parameters which are fitted with the data. erf is the error function. ==External links== * J. E. Gaiser, (Appendix-F Charmonium Spectroscopy from Radiative Decays of the J/Psi and Psi-Prime, Ph.D. Thesis ), SLAC-R-255 (1982). (This is a 205-page document in .pdf form – the function is defined on p. 178.) * M. J. Oreglia, (A Study of the Reactions psi prime --> gamma gamma psi, Ph.D. Thesis ), SLAC-R-236 (1980), Appendix D. * T. Skwarnicki, (A study of the radiative CASCADE transitions between the Upsilon-Prime and Upsilon resonances, Ph.D Thesis ), DESY F31-86-02(1986), Appendix E. 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「Crystal Ball 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.