转载,请保持连接:http://blog.csdn.net/stalendp/article/details/44904639
这篇文章收集关于Matlab的一些代码片段,以便查阅:
1. 方波
function [] = myFunc(n)
t = 0:0.001:2;
y = myFunc0(t, n);
figure;
plot(t, y);
end
% 方波
function [ y ] = myFunc0( t, n )
rt = 0;
for k = 0:n
rt = rt + sin(2*pi*(2*k+1)*t)/(2*k+1);
end
y = rt * 4 / pi;
end
方波图如下:
2. 打印3D曲面
[x,y] = meshgrid(-8:.1:8);
z = (2.*x.*y)./(x.*x + y.*y);
mesh(x,y,z);
3. 一些打印技巧
% example 1
x = linspace(0,pi);
y = sin(x);
ymax = max(y);
figure(1)
plot(x, y, '-b')
hold on
plot(xlim, [1 1]*ymax, '-r')
hold off
axis([xlim 0 1.1])
% example 2
x = linspace(0,5,1000);
y = sin(100*x)./exp(x);
ax1 = subplot(2,1,1);
plot(x,y)
ax2 = subplot(2,1,2);
plot(x,y)
xlim(ax2,[0 1])
4. 函数的一些使用技巧(function handler, anonymous function);
可以使用matlab中的类来 更好的管理函数模块,请参考5中的方法
function study(n)
sqr = @(nn) nn.^2;
C = {@e1, @e2, @e3, @e4, @() sqr(3)};
C{n}()
end
%相关快捷键:Ctrl+R, Ctrl+T, Ctrl+I %{ %}
function e1
disp('This is example1');
figure(1)
x = linspace(0,pi);
y = sin(x);
ymax = max(y);
plot(x, y, '-b')
hold on
plot(xlim, [1 1]*ymax, '-r')
hold off
axis([xlim 0 1.1])
end
function e2
disp('This is example2');
figure(2)
x = linspace(0,5,1000);
y = sin(100*x)./exp(x);
ax1 = subplot(2,1,1);
plot(x,y)
ax2 = subplot(2,1,2);
plot(x,y)
xlim(ax2,[0 1])
end
function e3
disp('This is example3');
figure(3)
[x,y] = meshgrid(-8:.1:8);
z = (2.*x.*y)./(x.*x + y.*y);
mesh(x,y,z);
end
function e4
disp('This is example4');
figure(4)
myFunc(20);
end
5. 用类的方式来管理函数模块
classdef myclass
properties
end
methods
function e1(obj)
disp('This is example1');
figure(1)
x = linspace(0,pi);
y = sin(x);
ymax = max(y);
plot(x, y, '-b')
hold on
plot(xlim, [1 1]*ymax, '-r')
hold off
axis([xlim 0 1.1])
end
function e2(obj)
disp('This is example2');
figure(2)
x = linspace(0,5,1000);
y = sin(100*x)./exp(x);
ax1 = subplot(2,1,1);
plot(x,y)
ax2 = subplot(2,1,2);
plot(x,y)
xlim(ax2,[0 1])
end
function e3(obj)
disp('This is example3');
figure(3)
[x,y] = meshgrid(-8:.1:8);
z = (2.*x.*y)./(x.*x + y.*y);
mesh(x,y,z);
end
function e4(obj)
disp('This is example4');
figure(4)
myFunc(20);
end
end
end
6. 当然matlab还有非常赞的publish功能
,请参考:Publishing MATLAB Code from The Editor
7. 高分辨率下,matlab自动改变分辨率的bug的解决方案
:Matlab Changes reslution after opening simulink
8.用LaTeX来输出公式; 更多公式符号请参考
:https://en.wikibooks.org/wiki/LaTeX/Mathematics
8-0)用浏览器来编辑LaTeX公式,代码如下:
<!DOCTYPE html>
<html>
<head>
<script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
<title>tex texample</title>
</head>
<body>
$$ 0 \leq \lim_{n\to \infty}\frac{n!}{(2n)!} \leq \lim_{n\to \infty} \frac{n!}{(n!)^2} = \lim_{k \to \infty, k = n!}\frac{k}{k^2} = \lim_{k \to \infty}\frac{1}{k} = 0.$$
</body>
</html>
8-1)积分公式
x = linspace(0,3); y = x.^2.*sin(x); plot(x,y) line([2,2],[0,2^2*sin(2)]) str = '$$ \int_{0}^{2} x^2\sin(x) dx $$'; text(0.25,2.5,str,'Interpreter','latex') annotation('arrow','X',[0.32,0.5],'Y',[0.6,0.4])
8-2) 求和公式
x = linspace(-3,3); y = sin(x); plot(x,y) y0 = x; hold on plot(x,y0) y1 = x - x.^3/6; plot(x,y1) hold off str = '$$\sin(x) = \sum_{n=0}^{\infty}{\frac{(-1)^n x^{2n+1}}{(2n+1)!}}$$'; % text(-2,1,str,'Interpreter','latex') title(str,'Interpreter','latex');
9. Matlab字体设置;
home->preference->Fonts; 推荐字体:雅黑、Consolas、Mono;其中Mono、Consolas都不支持中文,可以用和雅黑的结合体(点击链接可以转到下载页面):雅黑+Mono, 雅黑+Consolas;
另外,介绍一篇关于编程字体的文章:有哪些适合用于写代码的西文字体?
10. 漂亮地输出公式:
A = sym(pascal(2));
B = eig(A);
pretty(B)
// 结果如下:
/ 3 sqrt(5) \
| - - ------- |
| 2 2 |
| |
| sqrt(5) 3 |
| ------- + - |
\ 2 2 /
11. Matlab打印矩阵的LaTeX的获取:
A = [1 2 3; 4 5 6; 7 8 9];
latex_table = latex(sym(A))
输出结果为:
12. pretty 和 LaTeX输出的区别:
同样一个矩阵,可以在控制台输出(用pretty),也可以在plot窗口或者publish页面(用LateX)显示。
用11中的矩阵做例子:
%% 测试 pretty 和 LaTeX
A = [1 2 3; 4 5 6; 7 8 9];
% pretty 代码
pretty(sym(A));
% plot 代码:
str = ['$$', latex(sym(A)), '$$'];
title(str ,'Interpreter','latex')
13. 编辑LaTeX公式的工具
macOS平台:texmaker + mactex, windows平台:texmaker + miktex;
相关地址:
texmaker: http://www.xm1math.net/texmaker/
mactex:https://tug.org/mactex/
miktex: http://miktex.org/
简单的代码:
\documentclass[11pt]{article} \begin{document} This is my first LaTeX document. Suppose we are given a rectangle with side lengths ${x+1}$ and ${x+3}$. The the equation $$A=x^2+4x+3$$represents the area of the rectangle. \end{document}
然后点击Quick Build,就可以生成pdf文档了。视频教程如下:https://www.youtube.com/watch?v=SoDv0qhyysQ
14. 关于LaTeX的技巧
参考:Cross referencing sections and equations
\section{Math references} \label{mathrefs}
As mentioned in section \ref{introduction}, different elements can
be referenced within a document
\subsection{powers series} \label{subsection}
\begin{equation} \label{eq:1}
\sum_{i=0}^{\infty} a_i x^i
\end{equation}
The equation \ref{eq:1} is atypical power series.
更多参考:
LaTeX wiki: https://en.wikibooks.org/wiki/LaTeX
Examples:http://www.electronics.oulu.fi/latex/examples/
15. 在Microsoft Word中粘贴LaTeX公式的方法
参考:Type math formulas in Microsoft Word the LaTeX way?
先用LaTeX生成MathML,然后以无格式的方式粘贴到word中(Ctrl+Alt+V); 或者粘贴到文本编辑器中,再粘贴回来(这样保证没有格式,是个纯文本)。
下面附一个可以转化公式的工具:
<!DOCTYPE html>
<html>
<head>
<script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script>
<title>tex texample</title>
<script src="http://apps.bdimg.com/libs/jquery/1.6.4/jquery.min.js"></script>
<script type="text/x-mathjax-config">
MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}, MathML: {
useMathMLspacing: true
}});
</script>
<script>
function SelectText(element) {
var doc = document
, text = doc.getElementById(element)
, range, selection
;
if (doc.body.createTextRange) {
range = document.body.createTextRange();
range.moveToElementText(text);
range.select();
} else if (window.getSelection) {
selection = window.getSelection();
range = document.createRange();
range.selectNodeContents(text);
selection.removeAllRanges();
selection.addRange(range);
}
}
$(document).ready(function(){
$("#latexContent").val("$$ $$");
$('#latexContent').bind('input propertychange', function() {
$("#myoutput").text($("#latexContent").val());
// MathJax.Hub.Queue(["TypeseTextt",MathJax.Hub,"myoutput"]);
MathJax.Hub.Typeset("myoutput")
});
$("#btnShowMathML").click(function(){
var con = $(".MJX_Assistive_MathML").html();
$("#myMathml").text(con);
SelectText("myMathml");
});
$("#btnClear").click(function(){
$("#latexContent").val("$$ $$");
$("#myoutput").html("<p style='color: grey; font-style: italic;'> The LaTeX will display here ! </p>");
});
});
</script>
</head>
<body>
<center>
<p> Enter LaTeX here! </p>
<textarea id="latexContent" rows="5" cols="100"> </textarea>
<button id="btnClear" type="button">clear</button>
<button id="btnShowMathML" type="button">Show The MathML</button> </br></br>
<span id="myoutput">
<p style="color: grey; font-style: italic;"> The LaTeX will display here ! </p>
</span> </br>
<span id="myMathml"> </span>
</center>
</body>
</html>
16. word中插入Latex的一些技巧:
快速输入公式的快捷键: Alt+=
一些参考:https://en.wikibooks.org/wiki/LaTeX/Mathematics
http://www.unicode.org/notes/tn28/UTN28-PlainTextMath-v3.pdf
Linear format equations and Math AutoCorrect in Word