C*N
发帖数: 1792 | 1 我用的是
\[
\rightarrow
\begin{tabular}{|c|}
\hline
text \\
\hline
\end{tabular}
\rightarrow
\]
但是 rightarrow 和中间的方框之间有空间， 不好看， 能有什么办法去掉这个间隔么
？ |
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m******e
发帖数: 212 | 2 可在\rightarrow 后面加 \hspace{-3pt} |
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D**o
发帖数: 2653 | 3 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 |
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w******e
发帖数: 12 | 4 比如
\vspace{0.1in}
The actual effect of first attack is ...,
which can be denoted as V\rightarrow I.
the second kind of...
\rightarrow 后面的文字就都变成斜体字，并且没有字间空格。我是在window下编辑te
x文件，然后在linux下编译。
后来我用了$, i.e. $V \rightarrow I$ 虽然控制住了范围，但是变成斜体字了：（ |
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T*******n
发帖数: 493 | 5 \rightarrow is a math mode command, so you can only use it in
an equation, e.g., surrounded by $...$ or \begin{equation}...\end{equation}.
Here you want to say
which can be denoted as $V\rightarrow I$.
Because the $...$ were missing, LaTeX added a $ in front of \rightarrow.
If you ran LaTeX on the command line in Linux or Windows, LaTeX should
have stopped to tell you that it had to add the $; it might not stop if you
ran LaTeX from some kind of integrated editor that throws away LaTeX's
wa |
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t******g
发帖数: 1136 | 6 Can anyone give me any hint to following problem?
Thanks.
Suppose that $f(x)$ is continuous at $x_0$. And suppose $\{a_n\}$
and $\{b_n\}$ are any two sequences such that $a_n
$\lim_{n\rightarrow \infty}a_n=\lim_{n\rightarrow \infty}b_n=x_0$.
And
\[
\lim_{n\rightarrow \infty} \frac{f(b_n)-f(a_n)}{b_n-a_n}=L.
\]
Can we approve $f'(x_0)$ exists, and equal to $L$? Or find out a
counter example to show $f'(x_0)$ does not exist. |
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v**********m
发帖数: 5516 | 7 Sir Karl Raimund Popper, CH FRS[1] FBA (28 July 1902 – 17 September 1994)
was an Austro-British[2] philosopher and a professor at the London School of
Economics.[3] He is regarded as one of the greatest philosophers of science
of the 20th century;[4][5] he also wrote extensively on social and
political philosophy.
Popper is known for his attempt to repudiate the classical observationalist
/ inductivist form of scientific method in favour of empirical falsification
. He is also known for his oppo... 阅读全帖 |
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G*****9
发帖数: 3225 | 8 不要放弃。因为信仰而放弃感情的，我觉得很遗憾。我也很难理解，一个基督徒怎么就
能轻易地下结论说，自己的男朋友或者女朋友会成为自己的十字架。
我在教会遇到过这样的事情。不少人都或多或少地对男方施压，让他信主。但实际上适
得其反。而那个女生，也深以为苦。其实更多的时候，是自己跟自己过不去。时间还长
着呢。如果神要引导一个人走义路，他一生一世总有一天会走到的。
举个例子吧。神需要的是人慢慢地长成耶稣基督的样式。比如说神要人不要骄傲，他需
要的是什么呢？假设你的骄傲是$p(t)=e^{- \lambda t}$, where $\lambda > 0$. 他
需要的是 As $t \rightarrow \infty$, $p(t) \rightarrow 0$. 你女朋友最多需要的
就是你的$\lambda$能稍微大一点，而不能要求说$p(t) = 0$ for any $t$。有人说不
对，神要的就是后面这个东西。我说你算了吧，那样的话直接审判就好了。也有人喜欢
把自己当成神，站在无穷远处。我说您也别太好高骛远了，您的$\lambda$都快到0了。
当然了，对还没有男女朋友的人来说，如果心... 阅读全帖 |
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G*****9
发帖数: 3225 | 9 不要放弃。因为信仰而放弃感情的，我觉得很遗憾。我也很难理解，一个基督徒怎么就
能轻易地下结论说，自己的男朋友或者女朋友会成为自己的十字架。
我在教会遇到过这样的事情。不少人都或多或少地对男方施压，让他信主。但实际上适
得其反。而那个女生，也深以为苦。其实更多的时候，是自己跟自己过不去。时间还长
着呢。如果神要引导一个人走义路，他一生一世总有一天会走到的。
举个例子吧。神需要的是人慢慢地长成耶稣基督的样式。比如说神要人不要骄傲，他需
要的是什么呢？假设你的骄傲是$p(t)=e^{- \lambda t}$, where $\lambda > 0$. 他
需要的是 As $t \rightarrow \infty$, $p(t) \rightarrow 0$. 你女朋友最多需要的
就是你的$\lambda$能稍微大一点，而不能要求说$p(t) = 0$ for any $t$。有人说不
对，神要的就是后面这个东西。我说你算了吧，那样的话直接审判就好了。也有人喜欢
把自己当成神，站在无穷远处。我说您也别太好高骛远了，您的$\lambda$都快到0了。
当然了，对还没有男女朋友的人来说，如果心... 阅读全帖 |
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o****o
发帖数: 8077 | 10 I think so
\sqrt(n)[X-E(X)] \stackrel{D}{\rightarrow} N{0, V(X)}
by Delta method
\sqrt{n} [log(X)-log(E(X))] \stackrel{D}{\rightarrow}N{0, V(X)/(E(X))^2}
so
log(X) has asymptotically approximated mean log(E(X)) and variance
\frac{V(X)}{n E(X)^2}
correct me if I am wrong |
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T*******n
发帖数: 493 | 11 Not sure what you mean by 后面的文字就都拧在一起了---
I wouldn't normally expect that to happen.
\rightarrow falls in the same math symbol class as the
equal sign. Do you get the same problem if you replace
\rightarrow with "="? Can you give a short LaTeX code
example that reproduces this problem? |
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M*****d
发帖数: 100 | 12 Still no.
Suppose X_i's are iid with mean 0 and std 1. Let Y_n=\sqrt n \bar X.
If Y_n converge to a r.v. in probability, Y_n must be Cauchy convergent in
prob, i.e.,
\lim_{n\rightarrow\infty}\sup_{m>n}P(|Y_m-Y_n|>\epsilon)=0
The LHS > \lim_{n\rightarrow\infty}P(|Y_{2n}-Y_n|>\epsilon) and
Y_{2n}-Y_n=(X_1+...+X_n)/(\sqrt {2n} - \sqrt n) + (X_{n+1}+...+X_{2n})/\sqrt
{2n}.
(X_1+...+X_n)/(\sqrt {2n} - \sqrt n) converges to -(1-1/\sqrt 2)Z_1 and (X_{
n+1}+...+X_{2n})/\sqrt {2n} converges to 1/\sqrt 2 |
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t**********t
发帖数: 12071 | 13 这不算什么。我们这里的PHD有不会算最简单的极限的，就象\lim_{x\rightarrow\
infty}sinx/x 这样的 |
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l****y
发帖数: 4773 | 14 简单的容斥原理，才俩集合。
改进一下：
150盏连成一排，每秒随机拉一盏3n or 5m的灯，设X_t为t时刻最长连续亮灯串长度，
求TMD \lim_{t\rightarrow \infty}E(X_t)=? |
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w******e
发帖数: 12 | 15 我是新手
用过一些command后，总是会影响后面的文字，
比如\rightarrow， 之后，后面的文字就都拧在一起了，好ft
多谢 |
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g*********r
发帖数: 124 | 18 \usepackage{amsmath}
\makeatletter
\def\ExtendSymbol#1#2#3#4#5{\ext@arrow 0099{\arrowfill@#1#2#3}{#4}{#5}}
\makeatother
\newcommand\myArrow[2][]{\ExtendSymbol{\leftarrow}{-}{\rightarrow}{#1}{#2}}
$A\myArrow[A^2=B^2]{A^2=A^2+B^2+C^2}B $
\ |
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m*****l
发帖数: 55 | 19 嗯，确实没有找到。
不过，可以自己造一个
\documentclass{article}
\def \mysymbol {\leftarrow\hskip -0.5em | \hskip -0.5em \rightarrow}
\begin{document}
$\mysymbol$
\end{document} |
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m******y
发帖数: 266 | 20 如附件， m(x,T)是某个已知的函数，要多smooth你可以假设.
F(s)和\lambda(t) 是未知的，a也是未知的。
要求，把a用已知的表示出来。
一种方法是a=-\lim_{T\rightarrow 0}m_{xT}(x,T)/m_T(x,T).
但这种方法有很大局限，因为只利用到了已知的m(x,T)在T=0附近的信息。
可以证明的是，在对\lambda(t)没做任何假设的情况下，上述方法已经是最优的了。换
句话说 m(x,T)在T=0领域以外的已知信息毫无用处。
请教一下有没其他的方法，使得我们可以知道，当且仅当\lambda(t) 在某个函数空间
时，
a可以被已知的term表达出来,并且会利用到m(x,T)在T\neq 0处的信息。 |
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f**********e
发帖数: 1994 | 21 In TeXForm
\{ \{ {{y(x)}\rightarrow
{\frac{\Mfunction{C}(1)\,\Mfunction{HypergeometricU}(\frac{b\,
\left( 1 + \frac{a}{{\sqrt{a^2 - 4\,c}}} \right) }{2},b,
{\sqrt{a^2 - 4\,c}}\,x) +
\Mfunction{C}(2)\,\Mfunction{LaguerreL}(\frac{b\,
\left( -1 - \frac{a}{{\sqrt{a^2 - 4\,c}}} \right) }{2},-1 + b,
{\sqrt{a^2 - 4\,c}}\,x)}{e^
{\frac{\left( a + {\sqrt{a^2 - 4\,c}} \right) \,x}{2}}}}}\} \} |
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s**e
发帖数: 103 | 22
consider function 1+exp(t)*sin(exp(-t)), \dot{a(t)}=e^tsin(e^(-t))-
cos(exp(-t)) which does not tends to zero as t \rightarrow - infinite ?? |
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l****a
发帖数: 366 | 23 I take some time to type the following passage from a book
called "Concrete Mathematics: A foundation for Computer
Scienence"
written by three geniuses: Graham, Knuth, and Patashnik.
"A remakrable theorem was discovered independently by three
mathematicians - Bohl, Sierpinski, and Weyl - at about the
same time in 1909: if \alpha is irrational then the
fractional
parts {n\alpha} are very uniformly distributed between 0
and 1, as n \rightarrow \infty. One way to state this is
that:
\[ \lim_{n \ri |
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