翻訳と辞書 Words near each other ・ Embedded RDF ・ Embedded servo ・ Embedded software ・ Embedded SQL ・ Embedded style language ・ Embedded Supercomputing ・ Embedded system ・ Embedded System Module ・ Embedded Training Teams ・ Embedded value ・ Embedded Wafer Level Ball Grid Array ・ Embedded Wizard ・ Embedded Zerotrees of Wavelet transforms ・ Embeddedness ・ EmbeddedXEN ・ Embedding ・ Embedding effect ・ Embedding problem ・ Embedding Rich Media ・ Embedment ・ Embee ・ Embega ・ Embekka ・ Embekka Devalaya ・ Embelia ・ Embelia ribes ・ Embellish (EP) ・ Embellishment ・ Embellishment (disambiguation) ・ Ember 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 Embedding ： ウィキペディア英語版 Embedding In mathematics, an embedding (or imbedding〔It is suggested by , that the word "embedding" is used instead of "imbedding" by "the English", i.e. the British.〕) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup. When some object ''X'' is said to be embedded in another object ''Y'', the embedding is given by some injective and structure-preserving map . The precise meaning of "structure-preserving" depends on the kind of mathematical structure of which ''X'' and ''Y'' are instances. In the terminology of category theory, a structure-preserving map is called a morphism. The fact that a map is an embedding is often indicated by the use of a "hooked arrow", thus: $f\; :\; X\; \backslash hookrightarrow\; Y.$ On the other hand, this notation is sometimes reserved for inclusion maps. Given ''X'' and ''Y'', several different embeddings of ''X'' in ''Y'' may be possible. In many cases of interest there is a standard (or "canonical") embedding, like those of the natural numbers in the integers, the integers in the rational numbers, the rational numbers in the real numbers, and the real numbers in the complex numbers. In such cases it is common to identify the domain ''X'' with its image ''f''(''X'') contained in ''Y'', so that . ==Topology and geometry== 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「Embedding」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.