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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Highly optimized tolerance ： ウィキペディア英語版 Highly optimized tolerance In applied mathematics, highly optimized tolerance (HOT) is a method of generating power law behavior in systems by including a global optimization principle. For some systems that display a characteristic scale, a global optimization term could potentially be added that would then yield power law behavior. It has been used to generate and describe internet-like graphs, forest fire models and may also apply to biological systems. ==Example== The following is taken from Sornette's book. Consider a random variable, $X$, that takes on values $x\_i$ with probability $p\_i$. Furthmore, lets assume for another parameter $r\_i$ :$x\_i\; =\; r\_i^$ for some fixed $\backslash beta$. We then want to minimize :$L\; =\; \backslash sum\_^\; p\_i\; x\_i$ subject to the constraint :$\backslash sum\_^\; r\_i\; =\; \backslash kappa$ Using Lagrange multipliers, this gives :$p\_i\; \backslash propto\; x\_i^$ giving us a power law. The global optimization of minimizing the energy along with the power law dependence between $x\_i$ and $r\_i$ gives us a power law distribution in probability. 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「Highly optimized tolerance」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.