翻訳と辞書 Words near each other ・ Pullalacheruvu ・ Pullalur ・ Pullambadi ・ Pullambadi block ・ Pullampara ・ Pullampeta ・ Pullancheri ・ Pullapart ・ Pullappanaickenpalayam ・ Pullapää crisis ・ Pullar ・ Pullashakti ・ Pullattukunnel Temple, Elamgulam ・ Pullay ・ Pullazhi ・ Pullback ・ Pullback (category theory) ・ Pullback (differential geometry) ・ Pullback attractor ・ Pullback bundle ・ Pullback motor ・ Pulldown ・ Pulldown exercise ・ Pullea ・ Pullea (plant) ・ Pullea perryana ・ Pullea stutzeri ・ Pulled Apart by Horses ・ Pulled Apart by Horses (album) ・ Pulled hamstring 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 Pullback ： ウィキペディア英語版 Pullback In mathematics, a pullback is either of two different, but related processes: precomposition and fibre-product. Its "dual" is pushforward. ==Precomposition== Precomposition with a function probably provides the most elementary notion of pullback: in simple terms, a function ''f'' of a variable ''y'', where ''y'' itself is a function of another variable ''x'', may be written as a function of ''x''. This is the pullback of ''f'' by the function ''y''. : $f(y(x))\; \backslash equiv\; g(x)\; \backslash ,$ It is such a fundamental process, that it is often passed over without mention, for instance in elementary calculus: this is sometimes called ''omitting pullbacks'', and pervades areas as diverse as fluid mechanics and differential geometry. However, it is not just functions that can be "pulled back" in this sense. Pullbacks can be applied to many other objects such as differential forms and their cohomology classes. See: *Pullback (differential geometry) *Pullback (cohomology) 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「Pullback」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.