翻訳と辞書 Words near each other ・ Parabola (disambiguation) ・ Parabola (magazine) ・ Parabola (moth) ・ Parabola (song) ・ Parabola Allegory ・ Parabola GNU/Linux-libre ・ Parabola of safety ・ Parabole (moth) ・ Parabolic ・ Parabolic aluminized reflector light ・ Parabolic antenna ・ Parabolic bursting ・ Parabolic constant ・ Parabolic coordinates ・ Parabolic cylinder function ・ Parabolic cylindrical coordinates ・ Parabolic fractal distribution ・ Parabolic geometry ・ Parabolic geometry (differential geometry) ・ Parabolic induction ・ Parabolic Lie algebra ・ Parabolic loudspeaker ・ Parabolic microphone ・ Parabolic partial differential equation ・ Parabolic reflector ・ Parabolic SAR ・ Parabolic trajectory ・ Parabolic trough ・ Paraboloid ・ Paraboloidal coordinates 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 Parabolic cylindrical coordinates ： ウィキペディア英語版 Parabolic cylindrical coordinates In mathematics, parabolic cylindrical coordinates are a three-dimensional orthogonal coordinate system that results from projecting the two-dimensional parabolic coordinate system in the perpendicular $z$-direction. Hence, the coordinate surfaces are confocal parabolic cylinders. Parabolic cylindrical coordinates have found many applications, e.g., the potential theory of edges. ==Basic definition== The parabolic cylindrical coordinates are defined in terms of the Cartesian coordinates by: :$\backslash begin$ x &= \sigma \tau \\ y &= \frac \left( \tau^2 - \sigma^2 \right) \\ z &= z \end The surfaces of constant form confocal parabolic cylinders :$$ 2 y = \frac - \sigma^2 that open towards , whereas the surfaces of constant form confocal parabolic cylinders :$$ 2 y = -\frac + \tau^2 that open in the opposite direction, i.e., towards . The foci of all these parabolic cylinders are located along the line defined by . The radius has a simple formula as well :$$ r = \sqrt = \frac \left( \sigma^2 + \tau^2 \right) that proves useful in solving the Hamilton-Jacobi equation in parabolic coordinates for the inverse-square central force problem of mechanics; for further details, see the Laplace–Runge–Lenz vector article. 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「Parabolic cylindrical coordinates」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.