翻訳と辞書 Words near each other ・ Spring Creek (Sangamon County, Illinois) ・ Spring Creek (Sonoma County, California) ・ Spring Creek (Susquehanna River) ・ Spring Creek (Victoria County, Texas) ・ Spring Creek Academy ・ Spring Creek Cave ・ Spring Creek Church ・ Spring Creek Correctional Center ・ Spring Creek Dam ・ Spring Creek Dam (New South Wales) ・ Spring Creek Elementary School ・ Spring Creek Forest Preserve ・ Spring Creek Hatchery State Park ・ Spring Creek High School ・ Spring Creek High School (Nevada) ・ Spring (mathematics) ・ Spring (Milz) ・ Spring (operating system) ・ Spring (painting) ・ Spring (poem) ・ Spring (Rachmaninoff) ・ Spring (season) ・ Spring (Tony Williams album) ・ Spring (TV series) ・ Spring 1945 offensive in Italy ・ Spring 1990 ・ Spring 1990 (The Other One) ・ Spring 2004 Dior couture collection ・ Spring 2008 New York Fashion Week ・ Spring 2009 Chanel couture collection 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 Spring (mathematics) ： ウィキペディア英語版 Spring (mathematics) In geometry, a spring is a surface in the shape of a coiled tube, generated by sweeping a circle about the path of a helix. ==Definition== A spring wrapped around the z-axis can be defined parametrically by: :$x(u,\; v)\; =\; \backslash left(R\; +\; r\backslash cos\backslash right)\backslash cos,$ :$y(u,\; v)\; =\; \backslash left(R\; +\; r\backslash cos\backslash right)\backslash sin,$ :$z(u,\; v)\; =\; r\backslash sin+,$ where :$u\; \backslash in\; [0,\backslash \; 2n\backslash pi)\backslash \; \backslash left(n\; \backslash in\; \backslash mathbb\backslash right),$ :$v\; \backslash in\; [0,\backslash \; 2\backslash pi),$ :$R\; \backslash ,$ is the distance from the center of the tube to the center of the helix, :$r\; \backslash ,$ is the radius of the tube, :$P\; \backslash ,$ is the speed of the movement along the z axis (in a right-handed Cartesian coordinate system, positive values create right-handed springs, whereas negative values create left-handed springs), :$n\; \backslash ,$ is the number of rounds in circle. The implicit function in Cartesian coordinates for a spring wrapped around the z-axis, with $n$ = 1 is :$\backslash left(R\; -\; \backslash sqrt\backslash right)^2\; +\; \backslash left(z\; +\; \backslash right)^2\; =\; r^2.$ The interior volume of the spiral is given by :$V\; =\; 2\backslash pi^2\; n\; R\; r^2\; =\; \backslash left(\; \backslash pi\; r^2\; \backslash right)\; \backslash left(\; 2\backslash pi\; n\; R\; \backslash right).\; \backslash ,$ 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「Spring (mathematics)」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.