f**********r
发帖数: 18251 | 1 【 以下文字转载自 Military 讨论区 】
发信人: wep (买不到鸡蛋了！), 信区: Military
标 题: Re: 林宝红到底是去上海哪个学校赚卖国钱 (转载)
发信站: BBS 未名空间站 (Tue Dec 3 02:21:21 2013, 美东)
上海交大
http://www.pibb.ac.cn/pibbcn/ch/reader/view_abstract.aspx?file_
中文关键词: 普适酶反应速率方程,动力学模型,系统生物学,酶动力学
英文关键词:generic enzymatic rate equation kinetic model systems biology
enzyme kinetics
基金项目:国家重点基础研究发展计划(973)资助项目(2010CB529200, 2007CB914700)
作者 单位 E-mail
徐岷涓 上海交通大学系统生物医学研究院，系统生物医学教育部重点实验室，上
海 200240 m*******[email protected]
朱晓梅 GenMath, Corp.... 阅读全帖 |
|
b**s
发帖数: 67 | 2 It can be downloaded at www.mathtype.com.
It's something like equation editor but does a much much better
job than equation editor.
By default after installation, it "replace" equation editor, this might
cause problem, since others can't edit your equation. If you don't like this
change the preference.
Mathtype is also useful to convert equation to latex tex mathml. |
|
T*******n
发帖数: 493 | 3 If there are no equation number, you can do something like this:
\usepackage{amsmath}
\begin{equation*}
\boxed{%
\begin{gathered}
x = 1 \\ y = 22 \\ z = 333
\end{gathered}
}
\end{equation*}
\begin{equation*}
\boxed{%
\begin{aligned}
x &= 1 \\ y &= 22 \\ z &= 333
\end{aligned}
}
\end{equation*}
\begin{gather*}
\boxed{%
\begin{gathered}
x = 1 \\ y = 2
\end{gathered}
}
\\
\boxed{%
\begin{gathered}
a = 1 \\ b = 2
\end{gathered}
}
\end{gather*} |
|
a***6
发帖数: 44 | 4 Well, sure, Arrehnius equation is used in kinetics, but the origin of the
equation is based on thermodynamics. The exponential dependence on the
transition state Gibbs free energy comes from the assumption that the
transition state and the ground state are at thermo-equilibrium.
Thermo事实上在ChemE里面还蛮基础的，即使在transport的大多方程都是假设
thermoequilibrium推出来的(microscopic derivation)，理论上说，transport
equations只适用于near thermoequlibrilium. 还有phase transition，heat
capacity这些concepts都是来自于thermoydnamics.
至于kinetics，我觉... 阅读全帖 |
|
j****j
发帖数: 270 | 5 另外如果我用LM test, 假设下面的sigma是另外alpha*xt,
E[ (yt - beta' * xt)^2 | It] = sigma^2
alpha是M维的, M>1.
根据上面的两个moment equations, 扩展到L+M维的最优GMM moment equations,
然后回过来测试alpha中除了对应xt常数项的那个元素为非零以外，其他全为0.
那么在null 下面，就有L+M个equation, 但是L+1个parameter,
请问这前面L+M个方程中的前面L+1个方程解出来的最优估计beta和alpha第一个元素，
vs.
如果我直接从上面的两个moment equations, 扩展到L+1维的最优GMM moment
equations,
也就是OLS的估计beta_ols和alpha第一个元素（亦即sigma_ols),
对比的话，他们的估计值是否应该是一样的？ |
|
l*******G
发帖数: 1191 | 6 I didn't do this kind of stuff, but what I think the best way is
to check
1) whether N-S equation or any other equation you want to use for momentum
balance of fluid assume constant viscosity or not. Seems to me that NS
equation can be used for non-homogeneous or non-constant viscosity problems
2) re-derive the vorticity equation by taking curl to the momentum equation
and find out which terms the viscosity will go in
3) take simple senarios, find out solutions such as shearing flow |
|
b*****f
发帖数: 50 | 7 hec-ras solves the energy equation for steady gradually-varied flow with the
standard step method and the continuity and momentum equations for unsteady
gradually-varied flow with the finite difference numerical method.
hec-ras uses the manning equation for calculating the energy and friction
slopes with the assumption that the energy and friction slopes of gradually
varied flow is equal to those of the uniform flow where the manning equation
was developed.
manning equation is used by convention |
|
w********r
发帖数: 253 | 8 如果你有n个parameters，n个equations，一定可以解出来每个参数，并且只有一个解
么？
这些equation不是重复的，比如
x＋y＝３
２x＋２y＝６
不是这种因为重复而少了一个有用equation的情况
我说：有多解或者无解
我老板说：一定有，且只有一个解
打个比方，我们的equations如下:
xy/(x+y)*(x+y)(x+y+1)=6
2(y-x)*sqrt(x+y+1)/[(x+y+2)*sqrt(xy)]=8
我们还有很多其他equation要解，上面这两是最简单的一个case
多谢各位神仙！ |
|
l*********2
发帖数: 95 | 9
很高兴终于有人回复了!
你说得有道理,我也想去问问两个系的弹性力学究竟有多大区别,我下周再去问一下我的
有限元老师吧.
我查了一下,下学期只有civil的弹性力学课程，航空的不开设。我想弹性力学应该算是
比较基础的固体力学课程吧，应该尽早修读吧？
至于数学课，今日一位学长简单向我推荐MA 51400 - Numerical Analysis,说对有限元
什么有帮助.你觉得呢?
我刚看了看Numerical Analysis和MA527的课程介绍，感觉MA527讲的topic以前都学过
，但是或许会比较深吧。而且下学期不开527，只有MA528.
我打算下周把这些课程资料整理好，找我有限元老师问一下吧。当然还是希望能听听板
上大侠们的意见！
Numerical Analysis
Iterative methods for solving nonlinear, linear difference equations,
applications to solution of polynomial equations; differentiation and
integration form... 阅读全帖 |
|
l*********2
发帖数: 95 | 10
很高兴终于有人回复了!
你说得有道理,我也想去问问两个系的弹性力学究竟有多大区别,我下周再去问一下我的
有限元老师吧.
我查了一下,下学期只有civil的弹性力学课程，航空的不开设。我想弹性力学应该算是
比较基础的固体力学课程吧，应该尽早修读吧？
至于数学课，今日一位学长简单向我推荐MA 51400 - Numerical Analysis,说对有限元
什么有帮助.你觉得呢?
我刚看了看Numerical Analysis和MA527的课程介绍，感觉MA527讲的topic以前都学过
，但是或许会比较深吧。而且下学期不开527，只有MA528.
我打算下周把这些课程资料整理好，找我有限元老师问一下吧。当然还是希望能听听板
上大侠们的意见！
Numerical Analysis
Iterative methods for solving nonlinear, linear difference equations,
applications to solution of polynomial equations; differentiation and
integration form... 阅读全帖 |
|
t**********m
发帖数: 205 | 11 Quantum Gravity Based on Mach Principle and Its Solar Application
http://vixra.org/abs/1101.0076
The starting point of quantum mechanics is the classical algebraic formula
connecting energy to momentum: energy is proportional to the squared
momentum. As a result, energy and momentum do not be treated equally. The
wave equation of quantum mechanics (a differential equation) results from
the replacement of the classical energy quantity with the derivative with
time and the replacement of the momen... 阅读全帖 |
|
w********r
发帖数: 253 | 12 【 以下文字转载自 Mathematics 讨论区 】
发信人: whatsummer (不理猫@St Trinians), 信区: Mathematics
标 题: 一个简单的数学问题，我和我老板争论不停，其中一定有一个人是白痴，哈哈
发信站: BBS 未名空间站 (Wed Apr 27 15:20:03 2011, 美东)
如果你有n个parameters，n个equations，一定可以解出来每个参数，并且只有一个解
么？
这些equation不是重复的，比如
x＋y＝３
２x＋２y＝６
不是这种因为重复而少了一个有用equation的情况
我说：有多解或者无解
我老板说：一定有，且只有一个解
打个比方，我们的equations如下:
xy/(x+y)*(x+y)(x+y+1)=6
2(y-x)*sqrt(x+y+1)/[(x+y+2)*sqrt(xy)]=8
我们还有很多其他equation要解，上面这两是最简单的一个case
多谢各位神仙！ |
|
|
m**a
发帖数: 16 | 14 The number of nonlinear equations with exact analytic solution is very few.
The famous ones are
KdV equation
sine-Gordon equation
Nonlinear Schrodinger equation (Ginzburg-Landau equation)
People study the solution in the phase space and study the perturbation of
small terms. All in all, people have very limited knowledge of nonlinear
problems till now and not so much useful except for generating the figures.
For an example, in linear math, people could do Fourier transform,
eigenvalues, filterin |
|
w********r
发帖数: 253 | 15 【 以下文字转载自 Mathematics 讨论区 】
发信人: whatsummer (不理猫@St Trinians), 信区: Mathematics
标 题: 一个简单的数学问题，我和我老板争论不停，其中一定有一个人是白痴，哈哈
发信站: BBS 未名空间站 (Wed Apr 27 15:20:03 2011, 美东)
如果你有n个parameters，n个equations，一定可以解出来每个参数，并且只有一个解
么？
这些equation不是重复的，比如
x＋y＝３
２x＋２y＝６
不是这种因为重复而少了一个有用equation的情况
我说：有多解或者无解
我老板说：一定有，且只有一个解
打个比方，我们的equations如下:
xy/(x+y)*(x+y)(x+y+1)=6
2(y-x)*sqrt(x+y+1)/[(x+y+2)*sqrt(xy)]=8
我们还有很多其他equation要解，上面这两是最简单的一个case
多谢各位神仙！ |
|
S*********g
发帖数: 24893 | 16 【 以下文字转载自 StephenKing 俱乐部 】
发信人: StephenKing (金博士), 信区: StephenKing
标 题: 不系安全带，John Nash今天车祸死了
发信站: BBS 未名空间站 (Sun May 24 11:17:59 2015, 美东)
John Forbes Nash, Jr.
Born June 13, 1928
Bluefield, West Virginia, U.S.
Died May 23, 2015 (aged 86) [1]
Residence United States
Nationality American
Fields
Mathematics
Economics
Institutions
Massachusetts Institute of Technology
Princeton University
Alma mater
Princeton University
Carnegie Institute of Te... 阅读全帖 |
|
w*******y
发帖数: 60932 | 17 Sierra Trading Post has some great deals on Asics Gel Running Shoes. Some
colors and styles have limited sizes. Use coupon "ALFALL1" for 20% off.
Shipping starts at $7.95. Or use code EB091311B for 35% off your order plus
free ground shipping if you are spending more than $100. I was able to get a
pair of Kanbarra 5s, Enduro 6s, and Equation 4s for $89.61 shipped. Came
out to $28.87 a pair!
Prices below reflect 20% discount. Will be cheaper if you use the 35% off
code.
Asics Gel Kanbarra 5 Runni... 阅读全帖 |
|
R****a
发帖数: 6858 | 18 大棋局与9/11
来源: ognc 于 2013-02-22 16:08:44[档案] [博客] [旧帖] [转至博客] [给我悄悄
话] 本文已被阅读：63次
字体：调大/调小/重置 | 加入书签| 打印| 所有跟帖 | 加跟贴| 查看当前最热讨论主题
The Moral Decoding of 9-11
By Prof. John McMurtry
(Journal of 9/11 Studies) - I was sceptical of the 9-11 event from the first
time I saw it on television. It was on every major network within minutes.
All the guilty parties were declared before any evidence was shown. The
first questions of any criminal investigation were erased. Who had the most
compelling motives for... 阅读全帖 |
|
w*******U
发帖数: 256 | 19 aerodynamics is part of fluid mechanics. in tradition, fluid mechanics is
part of applied mathematics which involves physics (actually in the UK
applied mathematics is in some sense equivalent to theoretical physics).
Qian's supervisor von Karman was from Gottingen and Karman's supervisor was
Ludwig Prandtl who was a professor of applied mathematics and mechanics in
Gottingen. The tradition of applied mathematics in Gottingen originated from
Carl-Friedreich Gauss. In Gauss's period, mathematics ... 阅读全帖 |
|
w*******U
发帖数: 256 | 20 Aerodynamics is part of fluid mechanics. In tradition, fluid mechanics is
part of applied mathematics (actually in the UK applied mathematics is in
some sense equivalent to theoretical physics). Qian's supervisor von Karman
was from Gottingen and Karman's supervisor was Ludwig Prandtl who was a
professor of applied mathematics and mechanics in Gottingen. The tradition
of applied mathematics in Gottingen originated from Carl-Friedreich Gauss.
In Gauss's period, mathematics was not divided into pu... 阅读全帖 |
|
e****o
发帖数: 690 | 21 wai F ----- Li XueMei is an associate professor (Reader) at the
Mathematics Department of the University of Warwick. Her responsibility is
teaching and research. She has been working on geometric analysis of
stochastic processes on manifolds, Malliavin calculus, Infinite dimensional
analysis, L2 Hodge theory, Geometric properties of second order differential
operators. Her current research interests are: stochastic differential
equations with regular and singular coefficients, construction of ... 阅读全帖 |
|
t****x
发帖数: 347 | 22 购买产品：
(1) 关节灵或称固骨康：英文是Glucosamine Sulfate, 是国内亲友非常喜欢，长期服
用的一种保健品，如果爷爷奶奶感觉全身关节疼，蹲下再起来都费劲，强烈推荐可以试
试这个。在Wal-mart有售，品牌有 Jamieson，Equate，Swiss，，，都不错，有时会打
折，买一送一呢，另外各中西药店都有，加美药厂也有。一般1瓶关节灵的价格是10几
个加币，有300多粒。这个大力推荐一下。听说，多伦多有一个人，在国内是搞医药代
表的，他从这边带关节灵系列的产品回中国，专门卖给国内的一些有钱人，2 瓶卖800
人民币呢，真有经商头脑啊。没办法，国内也是渴求这种保健品，但没有亲戚有心给捎
带，也只有买高价货喽。
(2) 深海鱼油：英文Wild Sockeye Salmon Oil. 牌子比较杂，有的不纯要小心，我推
荐Natural Factors这个牌子的，是BC省出品的，是野生三文鱼的鱼油，每瓶10几个加
币，180粒或者更大包装。我常在Finch/Leslie的保健品店购买，有时一次买一打，分
别找机会捎带或邮寄回国内。鱼油的功能众所周知啦。特别便宜的鱼油也... 阅读全帖 |
|
b*****n
发帖数: 684 | 23 on one of my computers I use Word2003. It has Microsoft Equation 3.0
embedded. If I need to change the font size in equations, I simply resize
the entire equation. You can do this by either right click and modify size,
or left click and drag on the corner of equation. |
|
|
a*****g
发帖数: 19398 | 25 长篇文章：Why Do Americans Stink at Math?
When Akihiko Takahashi was a junior in college in 1978, he was like most of
the other students at his university in suburban Tokyo. He had a vague sense
of wanting to accomplish something but no clue what that something should b
e. But that spring he met a man who would become his mentor, and this relati
onship set the course of his entire career.
Takeshi Matsuyama was an elementary-school teacher, but like a small number
of instructors in Japan, he taught no... 阅读全帖 |
|
a*****g
发帖数: 19398 | 26 Teaching math concepts boosts student understanding
Elementary students' math skills improve when they learn the concepts behind
a problem before learning the skills needed to solve a problem, according t
o a recent study. Researchers found that 67% of the students in the study wh
o learned concepts first solved more problems with accuracy, compared with 4
4% of students who did not learn concepts first. Chalkbeat/Tennessee (8/13)
Students are more likely to be able to solve math problems if the... 阅读全帖 |
|
W******e
发帖数: 3319 | 27 1. Introduction
My interest in studying creativity was inspired by the frustrations that I
felt as a student, then as a professor. I wanted to know how I could
encourage creativity in myself, my students, and my colleagues.
Politicians, industrial managers, academic administrators, and other leaders
often say that innovation is critical to the future of civilization, our
country, their company, etc. But in practice, these same people often act as
if innovation is an evil that must be suppressed,... 阅读全帖 |
|
a*****g
发帖数: 19398 | 28 长篇文章：Why Do Americans Stink at Math?
When Akihiko Takahashi was a junior in college in 1978, he was like most of
the other students at his university in suburban Tokyo. He had a vague sense
of wanting to accomplish something but no clue what that something should b
e. But that spring he met a man who would become his mentor, and this relati
onship set the course of his entire career.
Takeshi Matsuyama was an elementary-school teacher, but like a small number
of instructors in Japan, he taught no... 阅读全帖 |
|
a*****g
发帖数: 19398 | 29 Teaching math concepts boosts student understanding
Elementary students' math skills improve when they learn the concepts behind
a problem before learning the skills needed to solve a problem, according t
o a recent study. Researchers found that 67% of the students in the study wh
o learned concepts first solved more problems with accuracy, compared with 4
4% of students who did not learn concepts first. Chalkbeat/Tennessee (8/13)
Students are more likely to be able to solve math problems if the... 阅读全帖 |
|
a*****g
发帖数: 19398 | 30 长篇文章：Why Do Americans Stink at Math?
When Akihiko Takahashi was a junior in college in 1978, he was like most of
the other students at his university in suburban Tokyo. He had a vague sense
of wanting to accomplish something but no clue what that something should b
e. But that spring he met a man who would become his mentor, and this relati
onship set the course of his entire career.
Takeshi Matsuyama was an elementary-school teacher, but like a small number
of instructors in Japan, he taught no... 阅读全帖 |
|
p***e
发帖数: 1318 | 31 The form of Menelaus' theorem is elegant but it is loose with
too many unknowns and too many knows unused.
Here is a proof with Ptolemy's theorem.
Connect AE, BD, CF. There are 6 quadralaterals with their diagonals. BE, CF
, DA & AE, BD, CF are 6 unknowns. Use Ptolemy's theorem, you can have 6
equations. All equations are simple. Eliminate AE, BD, CF. You have 3 fully
symmetric equations on BE/CF/DA. There are rather simple as well. You can
prove the equality there or simply solve the second o... 阅读全帖 |
|
F*V
发帖数: 3978 | 32 大棋局与9/11
来源: ognc 于 2013-02-22 16:08:44[档案] [博客] [旧帖] [转至博客] [给我悄悄
话] 本文已被阅读：63次
字体：调大/调小/重置 | 加入书签| 打印| 所有跟帖 | 加跟贴| 查看当前最热讨论主题
The Moral Decoding of 9-11
By Prof. John McMurtry
(Journal of 9/11 Studies) - I was sceptical of the 9-11 event from the first
time I saw it on television. It was on every major network within minutes.
All the guilty parties were declared before any evidence was shown. The
first questions of any criminal investigation were erased. Who had the most
compelling motives for... 阅读全帖 |
|
w*****2
发帖数: 1458 | 33 I'm rolling with Les Miles too.
You're either a Nick Saban guy or a Les Miles guy.
As the Grass Bowl inches closer and the biggest regular season game in SEC
history nears, it's become an incontrovertible fact, you're riding with Les
or you're rolling with Saban. The single most fascinating aspect to this
game is the extreme differences beetween the two men helming their
respective teams. One man coaches based on rigroous gameplanning and data
points, the other believes in football karma, the go... 阅读全帖 |
|
H****y
发帖数: 2992 | 34 关于第二个问题，我一直觉得膨胀就是高维的现象的投影。因为很多物理人把宇宙膨胀
形容为吹气球。如果你在气球上画一些点，并且把我们的三维空间缩减为二维（球面）
，那吹气球时在球面找不到一个膨胀“中心”，而是所有点都和所有点远离。我因此得
出的结论是，低维空间（球面）的膨胀其实是高维空间的膨胀的一个缩影。
关于第一个问题，我这个民科原先倒是问了专家（尹希）一个类似的问题。（Based on
his answer I think your question is, Yes, there is no physical interaction
between us and anything we can't SEE.）
Fiona: I still can’t perceive gravity in the same way of an electromagnetic
field and photons. For example, if, for any bizarre reason, a heavy item is
suddenly “born” at a particular point of... 阅读全帖 |
|
E*****m
发帖数: 25615 | 35 http://www.guardian.co.uk/science/2011/may/15/stephen-hawking-i
Stephen Hawking: 'There is no heaven; it's a fairy story'
In an exclusive interview with the Guardian, the cosmologist shares his
thoughts on death, M-theory, human purpose and our chance existence
A belief that heaven or an afterlife awaits us is a "fairy story" for people
afraid of death, Stephen Hawking has said.
In a dismissal that underlines his firm rejection of religious comforts,
Britain's most eminent scientist said there w... 阅读全帖 |
|
o*****s
发帖数: 1445 | 36 In June 2006, Tesla Motors reported the Roadster's battery-to-wheel
efficiency as 110 W·h/km (17.7 kW·h/100 mi) on an unspecified driving
cycle—either a constant 60 mph (97 km/h)) or SAE J1634 test—and stated a
charging efficiency of 86% for an overall plug-to-wheel efficiency of 128 W
·h/km (20.5 kW·h/100 mi).[37][122][123]
Evolution of the Roadster's plug-to-wheel efficiency (smaller values
indicate better efficiency)In March 2007, Tesla Motors reported the Roadster
's efficiency on the EPA hi... 阅读全帖 |
|
b***y
发帖数: 2799 | 37 ☆─────────────────────────────────────☆
falk (打心眼里瞧不起你们丫的) 于 (Sun Sep 11 21:44:46 2005) 提到:
I want to use C++ to solve a group of ordinary differential equations, maybe
1000, or 2000, and I want to know the running time vs the number of equations,
and also the CPU usage vs. the number of equations, who know what function or
command could help, thanks a lot
☆─────────────────────────────────────☆
bohrok (bohrok) 于 (Mon Sep 12 01:28:06 2005) 提到:
man -S 2 times
equations,
or
以下是附件内容: |
|
a****a
发帖数: 5763 | 38
NS equation 在添加一定的连续性假设的情况下，是能从 BOLTZMANN EQUATION推导出
来的，当然 Boltzmann equation 远比 NS 复杂， 但是2010年有人证明了 Boltzmann
方程是 well define 的， 而且是微扰稳定的。
当然这不代表NS equation本身一定就是对的，说不定哪一个假设就是错了 |
|
T*******y
发帖数: 6523 | 39 yeah, I tried \left\{ , but it didn't work, that's why I tried \left \{
mindlessly to just have a look. of course it didn't work either.
originally I don't need to use \array, so I used the \align and \split to make
the equation number appear once. anyway I tried \equation again like this.
\begin{equation}
%\begin{align}
%\begin{split}
\left\{
\begin{array}{cc}
a&b\\
c&d
\end{array}
\right
%\end{split}
%\end{align}
\end{equation}
yet it still didn't work.
But if I change the \right to be \right\ |
|
T*******n
发帖数: 493 | 40 \documentclass{article}
\usepackage{amsmath}
\newcommand{\chem}[1]{\ensuremath{\mathrm{#1}}}
\newcommand{\unit}[1]{\unskip\:\ensuremath{\mathrm{#1}}}
\newcommand{\degree}[0]{\ensuremath{{}^\circ}}
\begin{document}
\begin{equation}
x\overset{\text{not enough space to explain}}{=}y
\end{equation}
\begin{equation}
\chem{H_2O}_{(s)}
\xrightarrow[\text{at $T=0\degree\unit{C}$ and $P=1\unit{atm}$}]
{\Delta H_{\text{melt}}}
\chem{H_2O}_{(l)}
\end{equation}
\end{document} |
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T*******n
发帖数: 493 | 41 default in-line math $\sum_{i=0}^\infty x_i$
override in-line math $\displaystyle\sum_{i=0}^\infty x_i$
default display math \begin{equation} \sum_{i=0}^\infty x_i \end{equation}
override display math \begin{equation} \textstyle\sum_{i=0}^\infty x_i \end{
equation} |
|
b*********n
发帖数: 173 | 42 1. 对这个公式, 能不能不显示编号算了
使用\nonumber。例如：
\begin{equation}
blablabla \nonumber\\
\end{equation}
2. 如果我从某处用"\\"断开另起一行,这里出来两公式编号. 这也不是我想要的.
使用\begin{split}...\end{split}。例如：
\begin{equation}
\begin{split}
blabla \\
blabla
\end{split}
\end{equation} |
|
T*******n
发帖数: 493 | 43 What document class? If article, try either
\appendix
\renewcommand{\theequation}{\thesection\arabic{equation}}
\section{...} % Appendix A
\setcounter{equation}{0}
...
\section{...} % Appendix B
\setcounter{equation}{0}
...
or
\usepackage{amsmath}
...
\appendix
\numberwithin{equation}{section}
\section{...} % Appendix A
...
\section{...} % Appendix B
...
The first method gives A1, A2, B1, B2, while the second method
gives A.1, A.2, B.1, B.2, etc.
.. |
|
m*******r
发帖数: 21 | 44 some text...
\begin{equation}
aaa,
\end{equation}
some text...
\begin{equation}
bbb,
\end{equation}
请问如何把这两个公式左对齐，并且相对于上面的text有一个缩进，多谢指点 |
|
c*******h
发帖数: 1096 | 45 the following is the quick solution:
\numberwithin{equation}{section}
if you really want to use the letter 'S' instead of the section number
appended by a dot, you can do the following instead:
\renewcommand{\theequation}{S\arabic{equation}}
btw, you may also want to reset the equation counter in your supporting
material:
\setcounter{equation}{0} |
|
|
c**p
发帖数: 2 | 47 FIML is asymp effiecient if there is the normality assumption--reach CR bound.
3SLS is an extention of IV--2SLS. ---It should definitely consistent.---The
idea of using 3SLS is the stacked simultaneous equations.
Compared with the OLS equation-by-equation, when stacking for the equations,
more information are used now-- that is why we call it Full Information.
FIML & 3SLS are asymp equivaleint if there is no error covariance
resitriction. |
|
a*****g
发帖数: 19398 | 48 长篇文章：Why Do Americans Stink at Math?
When Akihiko Takahashi was a junior in college in 1978, he was like most of
the other students at his university in suburban Tokyo. He had a vague sense
of wanting to accomplish something but no clue what that something should b
e. But that spring he met a man who would become his mentor, and this relati
onship set the course of his entire career.
Takeshi Matsuyama was an elementary-school teacher, but like a small number
of instructors in Japan, he taught no... 阅读全帖 |
|
a*****g
发帖数: 19398 | 49 Teaching math concepts boosts student understanding
Elementary students' math skills improve when they learn the concepts behind
a problem before learning the skills needed to solve a problem, according t
o a recent study. Researchers found that 67% of the students in the study wh
o learned concepts first solved more problems with accuracy, compared with 4
4% of students who did not learn concepts first. Chalkbeat/Tennessee (8/13)
Students are more likely to be able to solve math problems if the... 阅读全帖 |
|
q***e
发帖数: 90 | 50 In your particular case, integration factor may be
even simpler.
Multiply both sides of the equation by y, we have
yy''' - 4xy'y - 2yy = 0 (1)
If you obsrve the left side carefully, you can find that it
is a (full) derivative, by integrating both sides, you got
a primary integral of the equation, thus reduce the equation
to second order. If you don't know the jargons above, just
skip and read on.
We can rewrite equation (1) as
(yy'' - 0.5y'y' - 2x |
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