翻訳と辞書 Words near each other ・ Moulton Bicycle ・ Moulton Castle ・ Moulton Chapel ・ Moulton Co-operative Society ・ Moulton College ・ Moulton Courthouse Square Historic District ・ Moulton Developments Limited ・ Moulton End ・ Moulton Escarpment ・ Moulton Hall ・ Moulton Heights, Alabama ・ Moulton Independent School District ・ Moulton Junction, Iowa ・ Moulton Paddocks ・ Moulton Park ・ Moulton plane ・ Moulton railway station ・ Moulton Rural District ・ Moulton School and Science College ・ Moulton Seas End, Lincolnshire ・ Moulton St Mary ・ Moulton Taylor ・ Moulton Township ・ Moulton Township, Auglaize County, Ohio ・ Moulton Township, Murray County, Minnesota ・ Moulton War Memorial ・ Moulton Windmill ・ Moulton's Regiment of Militia ・ Moulton, Alabama ・ Moulton, Cheshire 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 Moulton plane ： ウィキペディア英語版 Moulton plane In incidence geometry, the Moulton plane is an example of an affine plane in which Desargues' theorem does not hold. It is named after the American astronomer Forest Ray Moulton. The points of the Moulton plane are simply the points in the real plane R2 and the lines are the regular lines as well with the exception that for lines with a negative slope, the slope doubles when they pass the ''y''-axis. ==Formal definition== The Moulton plane is an incidence structure $\backslash mathfrak\; M=\backslash langle\; P,\; G,\backslash textrm\; I\backslash rangle$, where $P$ denotes the set of points, $G$ the set of lines and $\backslash textrm\; I$ the incidence relation "lies on": :$P:=\backslash mathbb\; R^2\; \backslash ,$ :$G:=(\backslash mathbb\; R\; \backslash cup\; \backslash )\; \backslash times\; \backslash mathbb\; R,$ $\backslash infty$ is just a formal symbol for an element $\backslash not\backslash in\backslash mathbb\; R$. It is used to describe vertical lines, which you may think of as lines with an infinitely large slope. The incidence relation is defined as follows: For $p\; =\; (x,\; y)\; \backslash in\; P$ and $g\; =\; (m,\; b)\; \backslash in\; G$ we have :$$ p\,\textrm I\,g\iff\begin x=b&\textm=\infty\\ y=\fracmx+b&\textm\leq 0, x\leq 0\\ y=mx+b&\textm\geq 0 \text x\geq 0. \end 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「Moulton plane」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.