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全部话题 - 话题: otimes
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D**o
发帖数: 2653
1
来自主题: Mathematics版 - 关于煙花不堪剪
注意作者 \author{YHBKJ}
Atiyah-Bott Localization 1
2012-09-05 09:24:19
\documentclass[a4paper,12pt]{article}
\usepackage{amsfonts}
\usepackage{amsmath,amsthm,amssymb}
\usepackage{CJK,graphicx}
\usepackage{amscd}
\usepackage{amssymb}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{definition}{Definition}[section]
\newtheorem{lemma}{Lemma}[section]
\begin{document}
\title{\textbf{\Huge{Atiyah-Bott Localization 1}}}\author{YHBKJ}\date{}\
maketitle
\begin{ab... 阅读全帖
H*****s
发帖数: 32
2
来自主题: Mathematics版 - 问一个交换代数
Yes. There is a canonical isomorphism between them.
Use the fact that N_p=N\otimes_A A_p, for any A module N, and the
associativity:
(M\otimes N)\otimes O=M\otimes(N\otimes O)
m**o
发帖数: 9805
3
来自主题: Joke版 - 鹅毛跟我帝谁在撒谎
其实事实是这样
ISIS制备了阿德纳尼与替身的纠缠态
|阿德纳尼(r1)>\otimes|替身(r2)> + |替身(r1)>\otimes|阿德纳尼(r2)>
不管炸r1还是r2都只有一半的几率炸死
所以我帝跟鹅毛就合作了一把,一起炸,我帝跟鹅毛都有1/2的几率在说谎
欢迎进入量子战争时代
n*s
发帖数: 752
4
来自主题: Computation版 - complex matrices partitions help
first of all, it's not sth. can be explain all in a sudden
an example is about multiple electron spins, or taking the obital and spin
angular momentum together for 1 electron
in that case, a rotation can be written into tensor product form
D(total) = D(obital) \otimes D(spin)
or
D(2 electron) = D(1st) \otimes D(2nd)
in general, all matrix entries of D are not 0, which is not good for realistic
calculation. it is then found if we go to the irriducible representation, D
can be written into block-d
l********e
发帖数: 3632
5
A\otimes B+ B\otimes A
p********r
发帖数: 47
6
来自主题: Science版 - 问个群论
8 \otimes 8 \otimes 8 = ? \oplus ? \oplus ... ?
x*****d
发帖数: 427
7
来自主题: Mathematics版 - tensor qutestion
Hom(V,W)和 V^*\otimes W 有个很简单的线性同构,自己想一想就能
构造出来
x*****d
发帖数: 427
8
来自主题: Mathematics版 - tensor qutestion
还有个问题,(s,t)型张量一般指同一个向量空间的张量积里面的元素
V^*\otimes V 里面的元素才叫 (1,1) 型张量
s*****s
发帖数: 1559
9
tensor product? \otimes
z***e
发帖数: 5600
10
来自主题: Science版 - Numerical Method Question Help
Seems to be a perfect example of the "cyclic tridiagonal matrix".
You can solve it using the sherman-morrison formula
which tells you how to invert A+u\otimes v.
See Sec 2.7 (p73-75) in Numerical Recipes in C
for details of S-M formula and code for inversion of
cyclic tridigonal matrix.
-Z.
x*****d
发帖数: 427
11
来自主题: Science版 - Re: help!
xy: V --> V
xy(z)=(y.z)x here . means scalar product.
So it's basicly a linear transformation.
If you want a tensor form, that will be x \otimes y*
where y* is the conjugate element of y in V*: y*(z)=y.z
d*********a
发帖数: 255
12
来自主题: Statistics版 - 请教矩阵的卷积用什么表示?
Do you mean the Kronecker product?
It is denoted by "\otimes" in latex.
similar to (X)
w*******y
发帖数: 60932
13
Newegg has the Nokia Wireless Observation Camera for MMS (Text) Enabled
Phones With Motion Detection Triggered Alerts for $14.99 shipped
LInk:
http://www.newegg.com/Product/Product.aspx?Item=9SIA0MC06T0471
Part of the BF deals... some sites still has this for $400! technology from
a few years back..
Features:
oMonitor remote business or personal assets almost anywhere in the GSM
coverage area
oGSM/GPRS 800/1900
oFeatures motion-detection and temperature-alert functions
oInfrared light source cap... 阅读全帖
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