翻訳と辞書 Words near each other ・ Near-death experience ・ Near-death studies ・ Near-Death Wish ・ Near-Dnipro Railways ・ Near-Earth Asteroid Scout ・ Near-Earth Asteroid Tracking ・ Near-Earth object ・ Near-Earth Object Camera ・ Near-Earth orbit ・ Near-Earth supernova ・ Near-equatorial orbit ・ Near-equilibrium enzymatic flux transfer networks ・ Near-extremal black hole ・ Near-fall ・ Near-far problem ・ Near-field (mathematics) ・ Near-field electromagnetic ranging ・ Near-field magnetic induction communication ・ Near-field optics ・ Near-field scanner ・ Near-field scanning optical microscope ・ Near-front vowel ・ Near-horizon metric ・ Near-infrared signature management technology ・ Near-infrared spectroscopy ・ Near-infrared window in biological tissue ・ Near-Life Experience ・ Near-me area network ・ Near-miss Johnson solid ・ Near-open central vowel 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 Near-field (mathematics) ： ウィキペディア英語版 Near-field (mathematics) In mathematics, a near-field is an algebraic structure similar to a division ring, except that it has only one of the two distributive laws. Alternatively, a near-field is a near-ring in which there is a multiplicative identity, and every non-zero element has a multiplicative inverse. == Definition == A near-field is a set $Q$, together with two binary operations, $+$ (addition) and $\backslash cdot$ (multiplication), satisfying the following axioms: :A1: $(Q,\; +)$ is an abelian group. :A2: $(a\; \backslash cdot\; b)\; \backslash cdot\; c$ = $a\; \backslash cdot\; (b\; \backslash cdot\; c)$ for all elements $a$, $b$, $c$ of $Q$ (The associative law for multiplication). :A3: $(a\; +\; b)\; \backslash cdot\; c\; =\; a\; \backslash cdot\; c\; +\; b\; \backslash cdot\; c$ for all elements $a$, $b$, $c$ of $Q$ (The right distributive law). :A4: $Q$ contains an element 1 such that $1\; \backslash cdot\; a\; =\; a\; \backslash cdot\; 1\; =\; a$ for every element $a$ of $Q$ (Multiplicative identity). :A5: For every non-zero element a of $Q$ there exists an element $a^$ such that $a\; \backslash cdot\; a^\; =\; 1\; =\; a^\; \backslash cdot\; a$ (Multiplicative inverse). 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「Near-field (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.