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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 Coshc function ： ウィキペディア英語版 Coshc function In mathematics, the Coshc function appears frequently in papers about optical scattering,〔PN Den Outer, TM Nieuwenhuizen, A Lagendijk,Location of objects in multiple-scattering media,JOSA A, Vol. 10, Issue 6, pp. 1209–1218 (1993)〕 Heisenberg Spacetime〔T Körpinar ,New characterizations for minimizing energy of biharmonic particles in Heisenberg spacetime International Journal of Theoretical Physics, 2014 Springer〕 and hyperbolic geometry.〔Nilg¨un S¨onmez,A Trigonometric Proof of the Euler Theorem in Hyperbolic Geometry,International Mathematical Forum, 4, 2009, no. 38, 1877 1881〕 It is defined as〔JHM ten Thije Boonkkamp, J van Dijk, L Liu,Extension of the complete flux scheme to systems of conservation laws,J Sci Comput (2012) 53:552–568,DOI 10.1007/s10915-012-9588-5〕〔Weisstein, Eric W. "Coshc Function." From MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/CoshcFunction.html〕 : $\backslash operatorname(z)=\backslash frac$ It is a solution of the following differential equation: : $w(\; z)\; z-2\backslash frac\; w\; (z)\; -z\; \backslash frac\; w\; (z)\; =0$ ;Imaginary part in complex plane *$\backslash operatorname\; \backslash left(\; \backslash frac\; \backslash right)$ ;Real part in complex plane *$\backslash operatorname\; \backslash left(\; \backslash frac\; \backslash right)$ ;absolute magnitude *$\backslash left|\; \backslash frac\; \backslash right|$ ;First-order derivative *$\backslash frac\; -\; \backslash frac$ ;Real part of derivative *$-\backslash operatorname\; \backslash left(\; -\backslash frac\; +\backslash frac\; \backslash right)$ ;Imaginary part of derivative *$-\backslash operatorname\; \backslash left(\; -\backslash frac\; +\; \backslash frac\; \backslash right)$ ;absolute value of derivative *$\backslash left|\; -\backslash frac+\backslash frac\; \backslash right|$ ==In terms of other special functions== * $\backslash operatorname(z)\; =\; \backslash frac\; ^\; z\}$ *$\backslash operatorname(z)=\backslash frac\backslash ,\backslash frac\; \backslash sqrt\; \backslash right)\; \}\; ^z\}$ * $\backslash operatorname(z)=\; \backslash frac\; \}$ 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「Coshc 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.