意味 | 例文 (1件) |
Boolean latticeとは 意味・読み方・使い方
追加できません
(登録数上限)
意味・対訳 ブール束; ブール表
「Boolean lattice」の部分一致の例文検索結果
該当件数 : 1件
-
履歴機能過去に調べた
単語を確認! -
語彙力診断診断回数が
増える! -
マイ単語帳便利な
学習機能付き! -
マイ例文帳文章で
単語を理解!
Wiktionary英語版での「Boolean lattice」の意味 |
Boolean lattice
名詞
Boolean lattice (複数形 Boolean lattices)
- (algebra) The lattice corresponding to a Boolean algebra.
- A Boolean lattice always has 2n elements for some cardinal number 'n', and if two Boolean lattices have the same size, then they are isomorphic. A Boolean lattice can be defined "inductively" as follows: the base case could be the "degenerate" Boolean lattice consisting of just one element. This element is less than or equal to itself, which reflects the first "law of thought". Inductive step: given the structure of a 2n-element Boolean lattice, make an exact and separate duplicate of it, which preserves the order relation isomorphically. Then connect the two lattices as follows: choose one as the "bottom" and one as the "top", then draw an arrow connecting each element of the "bottom" lattice to its corresponding element of the "top" lattice. The result is the 2n+1-element Boolean lattice (unique up to order-isomorphism). The 0 of the bottom lattice becomes the new 0, and the 1 of the top lattice becomes the new 1. Note that the 4-element (Boolean) lattice is a square, the 8-element lattice is a cube, the 16-element lattice is a tesseract, and higher-order lattices are higher-dimensional hypercubes in general, with the 0 and 1 always diagonally opposite, i.e., at the highest possible Hamming/taxicab distance from each other (equal to 'n' for an n-dimensional hypercube) and the edges directed so as to connect the vertex closer to 0 to the vertex further away from 0 (in terms of Hamming/taxicab distance).
上位語
- orthocomplemented lattice, ortholattice
|
意味 | 例文 (1件) |
|
Boolean latticeのページの著作権
英和・和英辞典
情報提供元は
参加元一覧
にて確認できます。
Copyright (C) 1994- Nichigai Associates, Inc., All rights reserved. | |
Copyright © 2024 CJKI. All Rights Reserved | |
Copyright © 2024 Cross Language Inc. All Right Reserved. | |
Text is available under Creative Commons Attribution-ShareAlike (CC-BY-SA) and/or GNU Free Documentation License (GFDL). Weblio英和・和英辞典に掲載されている「Wiktionary英語版」の記事は、WiktionaryのBoolean lattice (改訂履歴)の記事を複製、再配布したものにあたり、Creative Commons Attribution-ShareAlike (CC-BY-SA)もしくはGNU Free Documentation Licenseというライセンスの下で提供されています。 |
ピン留めアイコンをクリックすると単語とその意味を画面の右側に残しておくことができます。 |
ログイン |
Weblio会員(無料)になると 検索履歴を保存できる! 語彙力診断の実施回数増加! |
「Boolean lattice」のお隣キーワード |
weblioのその他のサービス
ログイン |
Weblio会員(無料)になると 検索履歴を保存できる! 語彙力診断の実施回数増加! |