翻訳と辞書
Words near each other
・ Welcome Horton Farm
・ Welcome II Nextasy
・ Welcome in Disagio
・ Welcome in Vienna
・ Welcome Interstate Managers
・ Welcome Islands
・ Welcome Islands (Lake Superior)
・ Welcome Joy
・ Welcome metro station
・ Welcome Mountain
・ Welcome Mr. Marshall!
・ Welch Allyn
・ Welch Apartments
・ Welch Award in Chemistry
・ Welch baronets
Welch bounds
・ Welch College
・ Welch Commercial Historic District
・ Welch Factory Building No. 1
・ Welch Hall
・ Welch Hall (Missouri)
・ Welch Hall (University of Texas at Austin)
・ Welch Hall (Yale University)
・ Welch Island
・ Welch Island (Antarctica)
・ Welch Miners
・ Welch Mountains
・ Welch Municipal Airport
・ Welch O-2
・ Welch OW-5M


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Welch bounds : ウィキペディア英語版
Welch bounds
In mathematics, Welch bounds are a family of inequalities pertinent to the problem of evenly spreading a set of unit vectors in a vector space. The bounds are important tools in the design and analysis of certain methods in telecommunication engineering, particularly in coding theory. The bounds were originally published in a 1974 paper by L. R. Welch.
==Mathematical statement==

If \ are unit vectors in \mathbb^n, define c_\max = \max_ |\langle x_i, x_j \rangle|, where \langle\cdot,\cdot\rangle is the usual inner product on \mathbb^n. Then the following inequalities hold for k=1,2,\dots:
: (c_\max)^ \geq \frac \left(\frac}-1 \right )

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「Welch bounds」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.