翻訳と辞書 Words near each other ・ Constrained generalized inverse ・ Constrained geometry complex ・ Constrained optimization ・ Constrained Shortest Path First ・ Constrained writing ・ Constrained-layer damping ・ Constraint ・ Constraint (classical mechanics) ・ Constraint (computer-aided design) ・ Constraint (information theory) ・ Constraint (mathematics) ・ Constraint algebra ・ Constraint algorithm ・ Constraint automaton ・ Constraint Composite Graph ・ Constraint counting ・ Constraint Grammar ・ Constraint graph ・ Constraint graph (layout) ・ Constraint Handling Rules ・ Constraint inference ・ Constraint learning ・ Constraint logic programming ・ Constraint programming ・ Constraint satisfaction ・ Constraint satisfaction dual problem ・ Constraint satisfaction problem ・ Constraint-based Routing Label Distribution Protocol ・ Constraint-induced movement therapy ・ Constraints accounting 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 Constraint counting ： ウィキペディア英語版 Constraint counting In mathematics, constraint counting is counting the number of constraints in order to compare it with the number of variables, parameters, etc. that are free to be determined, the idea being that in most cases the number of independent choices that can be made is the excess of the latter over the former. For example, in linear algebra if the number of constraints (independent equations) in a system of linear equations equals the number of unknowns then precisely one solution exists; if there are fewer independent equations than unknowns, an infinite number of solutions exist; and if the number of independent equations exceeds the number of unknowns, then no solutions exist. In the context of partial differential equations, constraint counting is a crude but often useful way of counting the number of ''free functions'' needed to specify a solution to a partial differential equation. ==Partial differential equations== Consider a second order partial differential equation in three variables, such as the two-dimensional wave equation :$u\_\; =\; u\_\; +\; u\_.$ It is often profitable to think of such an equation as a ''rewrite rule'' allowing us to rewrite arbitrary partial derivatives of the function $u(t,x,y)$ using fewer partials than would be needed for an arbitrary function. For example, if $u$ satisfies the wave equation, we can rewrite :$u\_\; =\; u\_\; =\; u\_\; +\; u\_$ where in the first equality, we appealed to the fact that ''partial derivatives commute''. 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「Constraint counting」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.