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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 Beta wavelet ： ウィキペディア英語版 Beta wavelet Continuous wavelets of compact support can be built (), which are related to the beta distribution. The process is derived from probability distributions using blur derivative. These new wavelets have just one cycle, so they are termed unicycle wavelets. They can be viewed as a ''soft variety'' of Haar wavelets whose shape is fine-tuned by two parameters $\backslash alpha$ and $\backslash beta$. Closed-form expressions for beta wavelets and scale functions as well as their spectra are derived. Their importance is due to the Central Limit Theorem by Gnedenko and Kolmogorov applied for compactly supported signals (). == Beta distribution == The beta distribution is a continuous probability distribution defined over the interval $0\backslash leq\; t\backslash leq\; 1$. It is characterised by a couple of parameters, namely $\backslash alpha$ and $\backslash beta$ according to: $P(t)=\backslash fract^\backslash cdot\; (1-t)^,\backslash quad\; 1\backslash leq\; \backslash alpha\; ,\backslash beta\; \backslash leq\; +\backslash infty$. The normalising factor is $B(\backslash alpha\; ,\backslash beta\; )=\backslash frac$, where $\backslash Gamma\; (\backslash cdot\; )$ is the generalised factorial function of Euler and $B(\backslash cdot\; ,\backslash cdot\; )$ is the Beta function (). 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「Beta wavelet」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.