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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 Sinhc function ： ウィキペディア英語版 Sinhc function In mathematics, the Sinhc 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. "Sinhc Function." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/SinhcFunction.html〕 : $\backslash operatorname(z)=\backslash frac$ It is a solution of the following differential equation: : $w(z)\; z-2\backslash ,\backslash frac\; w\; (z)\; -z\; \backslash frac\; w\; (z)\; =0$ ;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== * $\backslash operatorname(z)=\backslash frac\; (1,\backslash ,2,\backslash ,2\backslash ,z)\}^z\}$ *$\backslash operatorname(z)=\backslash frac\; \backslash sqrt\; \backslash right)\; \}^z\}$ * $\backslash operatorname(z)=1/2\backslash ,\backslash frac\; \}$ 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「Sinhc 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.