m*******e
发帖数: 41 | 1 $\mathcal{X} = \left\{\vc{x}_{1},\vc{x}_{2},...,\vc{x}_{n}\right\}$以后
下标1变成了无穷的符号，2也变了，n也变了，查了很久也没查出来问题。 |
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j*****g
发帖数: 98 | 2 probably you can try
${\mathcal{X}}=...$ |
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r*****f
发帖数: 247 | 3 【 以下文字转载自 EE 讨论区 】
发信人: realkof (仙4，久违的感动), 信区: EE
标 题: 请问latex里\mathcal是什么字体?
发信站: BBS 未名空间站 (Fri Nov 16 21:46:20 2007)
用英文怎么说？
因为要做presentation，有这么一个字体不知道怎么发音 |
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g****g
发帖数: 1828 | 4 In probability theory, the normal (or Gaussian) distribution, is a
continuous probability distribution that is often used as a first
approximation to describe real-valued random variables that tend to cluster
around a single mean value. The graph of the associated probability density
function is “bell”-shaped, and is known as the Gaussian function or bell
curve:[nb 1]
f(x) = \tfrac{1}{\sqrt{2\pi\sigma^2}}\; e^{ -\frac{(x-\mu)^2}{2\sigma^2}
},
where parameter μ is the mean (location of the pe... 阅读全帖 |
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D**o
发帖数: 2653 | 5 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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r**a
发帖数: 536 | 6 你考虑一下下面的证明。这里考虑最简单情况 t=0.
\begin{align}
&E[e^{-rT}f^H(S_T)1_{\tau\leq T}|\mathcal F_0]\\
=&E[e^{-rT}E[f^H(S_T)1_{\tau\leq T}|\mathcal F_\tau]|\mathcal F_0]\\
=&E[e^{-rT}E[f^H(S_T)|\mathcal F_\tau]|\mathcal F_0]
\end{align}
According to strong Markov property, we have
$$
E[f^H(S_T)|\mathcal F_\tau]=E[f^H(S(\tau+(T-\tau))|\mathcal F_\tau]
=E[f^H(\tilde{S}(t)],
$$
where $\tilde{S}(t)=S(\tau+(T-\tau))$ and $\tilde{S}(0)=S(\tau)=H$. Then use
the formula in your P.S., we may get the equation you want. |
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s*t
发帖数: 18 | 7 Neither T nor F. At least, not $\mathcal{F}$, not $\mathcal{T}$. It is not
in the mathcal set. |
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r**a
发帖数: 536 | 8
Sorry, I was wrong. Consider the following proof:
First, lets split the whole thing into two cases: 1. S(t) never hits H for 0
want to proof holds trivialy. Both sides are equal to zero. The advantage of
this splitting is you can get rid of the function $1_{\tau < T}$ in the
payoff function.
Now lets consider the 2nd case. Suppose $S(\tau)=H$.Suppose $t=\tau$, i.e.
consider the price at time $\tau$. The payoff function ... 阅读全帖 |
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w****a
发帖数: 186 | 9 why not use the indicator function instead: \mathcal{I}(a=1)=1,
\mathcal{I}(b=1)=0
can |
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t****t
发帖数: 6806 | 10 the error is in mathcall.h, so we don't want your sin and cos code. if my
mathcall.h is the same as yours, then line 310 is the definition of round().
did you redefine round()? |
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N**D
发帖数: 10322 | 11 I am using \begin{algorithm}... \end{algorithm} environment to write an
algorithm. However, my algorithm is very long and one page is not enough.
Currently, the second half of the algorithm is simply trimmed. I was
wondering how to put algorithm into multiple pages, just like longtable and
supertabular.
Here is an example of my code.
\begin{algorithm}
\caption{Algorithm $\mathcal{A}$} \label{Algorithm:ClusterSVM}
\begin{algorithmic}[1]
\REQUIRE A dataset $\mathcal{D}
\STATE Initialize th |
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x******a
发帖数: 6336 | 12 楼上各位概率学家，先定义你们的$(\Omega, \mathcal{F}, P)$再讨论rv好不好？
？？ |
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t******n
发帖数: 2939 | 13 ☆─────────────────────────────────────☆
noiselover (噪音) 于 (Mon Mar 19 13:36:16 2012, 美东) 提到:
首先声明一句：我不是h粉，也不是五毛。-----质疑我的人儿阿，你才是h粉呢，你们
全家都汗粉！！！！
--------------言归正传------------------------------
理科生，本科都上过概率论，（文科生不知道，或许没有，所以她们难以理解）
里面有句名言就是： 小概率事件必然发生。
例如，万分之一的机率，你可以打筛子打出6个6的豹子。然后，你打了1亿次,出来了。
结果：肘子抓住你这6次的豹子， 连续质疑------------我问你，你怎么解释？？？？
另外那999999次没有用，那些忽略掉！！！！！
*****************************************
肘子，只质疑已经发生的事儿。-----------但，发生的事儿，是已经发生的。
概率论，不是来讨论既成事实的。而是用来估计未发生的事儿的！！！！！！！！！！
具体到每个人，谁的... 阅读全帖 |
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j********e
发帖数: 124 | 14 Also try try \mathcal{R}.
Just in case it works. |
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r******r
发帖数: 74 | 15 special capital Greek characters
like $\mathcal{\Lambda}$, or some other types? |
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a**i
发帖数: 419 | 16 $\mathcal{J}$
. Thanks. |
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s*t
发帖数: 18 | 17 谢谢你的回复。$\mathcal{J}$是这样的，如图所示。和我想要的那个是不一样的。
. Thanks. |
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r*****f
发帖数: 247 | 19 用英文怎么说？
因为要做presentation，有这么一个字体不知道怎么发音 |
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t********y
发帖数: 166 | 22 ……
花体字是mathcal 还是mathfrak? |
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t********y
发帖数: 166 | 23 ……
花体字是mathcal 还是mathfrak? |
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m**********e
发帖数: 12525 | 24 把你sty文件的定义\cal的tex代码拷贝到你的latex文件头部，定义newcommand
比如revtex是这样定义的：
\DeclareRobustCommand*\cal{\@fontswitch\relax\mathcal}
你把这行拷贝到你的latex头部就成，下面就能调用\cal
具体技术细节上你自己折腾吧 |
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k******2
发帖数: 111 | 25 integrand 等于 p(\tilt{x},\vartheta|\mathcal{X})
积分是叫marginalized 这个joint 概率得到了你的公式了 |
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