Sandbox

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Here is the Sandbox. Click on the edit tab and experiment with the editor.


This week's event calendar.

Here is how to make a link to another web page: How to use the editor.

Contents

Portability

There is a portability issue. STA450/2047

  • Our wiki is powered by MathJax by default (we switched from jsMath), other wikis are powered by TeX 2 png.
    • So, if you want to have your input be portable to them use <math> </math> tags.
  • However our website and blogs and forums when/if they will be created are powered by jsMath as well and tags <math> </math> are not enabled there.
    • For portability across our webspace use $\$...\$$ and $\$\$...\$\$$ tags Victor 10:57, 3 February 2010 (UTC)

2013S MAT357 Real Analysis

What's wrong?

$y$

$y$

The reasons are that in wiki double and triple single quotation marks are formatting commands. Make space between them

$y' '$ $y' ' '$

Victor 20:07, 4 February 2010 (UTC)

List of Items

  • item after an asterisk.
  • another item.
    • Subitem
    • Another Subitem
      • And down the hierarchy

$e^{2\pi k\cdot x}$ between three quotations

Between two equals

You can boldly write eiπ + 1 = 0 among 'other things'. Or you can italize (one needs to use single quotation marks thrice and twice respectively)

Ida is new to Wiki.

$$T\oplus T^*$$ or \[X^3,\] both display math types work.  T\oplus T^* is new. Oh I see. If you use the usual Latex format then jsmath is used. But if you use the math html tags then something else happens, but it looks jaggedy.

Apparently so does $\longrightarrow$ inline but not xypic: \[\xymatrix{0\ar[r]&1}\]

Sure not - as it is not LaTeX and AMSmath command but requires some package and loading many extensions will make rendering slow. I suggest to use png here Victor 19:50, 8 January 2010 (UTC)

Actually there is MathJax_(TeX_for_Web)#XyJax and when it matures it will be possible to use. Victor 17:01, 25 January 2012 (EST)


− Δu = 0

\int_{0}^{\infty}\frac{1}{x}dx

\int_{0}^{\infty}\frac{1}{x}dx

\left( \frac{\partial}{\partial t} + u_0 \frac{\partial}{\partial x} \right) \left( \frac{\partial^{2} \Psi_1}{\partial x^{2}} + \frac{\partial^{2} \Psi_1}{\partial y^{2}} + B^{-1} \frac{\partial^{2} \Psi_1}{\partial z^{2}}  \right) + \frac{\partial \Psi_1}{\partial x} \left( \beta_{\ell} - \frac{d^2 u_0}{d y^2} \right) = 0

  • DisplayMath

\[\left( \frac{\partial}{\partial t} + u_0 \frac{\partial}{\partial x} \right) \left( \frac{\partial^{2} \Psi_1}{\partial x^{2}} + \frac{\partial^{2} \Psi_1}{\partial y^{2}} + B^{-1} \frac{\partial^{2} \Psi_1}{\partial z^{2}} \right) + \frac{\partial \Psi_1}{\partial x} \left( \beta_{\ell} - \frac{d^2 u_0}{d y^2} \right) = 0 \]

Inline Math: $\int_{0}^{\infty}\frac{1}{x}dx$

$$\def\pLaTeX{\rm\color{red} {L\kern-.325em\raise.21em{\scriptstyle{A}}\kern-.17em\TeX}\ \color{blue} {L\kern-.325em\raise.21em{\scriptstyle{A}}\kern-.17em\TeX}}$$

$\pLaTeX$ $\pLaTeX$ $\pLaTeX$ $\pLaTeX$ $\pLaTeX$ $\pLaTeX$ $\pLaTeX$

  • If you wonder how people do this press "Edit" or "View source" (if you have not edit permission)

$\sum F(n)=\frac {1}{2\pi}\sum \hat {F}(n)$ 18:20, 13 January 2010 (UTC)


$$\sum_{k=-N}^{k=N}$$

$$ \left\{ \begin{matrix} a & b \\ c & d \\ \end{matrix} \right\} $$

\sum_{i = 0}^{N} \frac{1}{x}

BA6183_Video_Instructions

Experimenting with Student

$$\int_a^b f'(s) ds = f(b) - f(a) .$$

Tables and Images

265px 235px
Nibelungen Bridge to Worms
across the Rhine
Worms and its sister cities

\ \frac{\pi^2}6 = \frac1{1^2} + \frac1{2^2} + \frac1{3^2} + \frac1{4^2} + \frac1{5^2} + ... Do not use <math></math> tags!!! Use $\$... \$$ or $\$\$...\$\$$ instead!


Mathfonts

$A$, $\mathrm{A}$, $\mathsf{A}$, $\mathbf{A}$, $\mathcal{A}$, $\mathscr{A}$, $\mathfrak{A}$, $\mathbb{A}$

$\alpha$, $\boldsymbol{\alpha}$,

Hello Let's Talk Science $\int f' ds = f + C$.

KBlott

$\forall$$\forall$$ $$\tilde x \bar x$ $\exists$$\exists$$\color{blue}\ {^* \! \times _* ^*}$

\begin{equation*} \mathbf{X} = \left( \begin{array}{ccc} x_1 & x_2 & \ldots \\ x_3 & x_4 & \ldots \\ \vdots & \vdots & \ddots \end{array} \right) \end{equation*}

Description You type
character (inline) formatting – applies anywhere
$\sup \lbrace \varnothing \rbrace := \varnothing$. $\inf \lbrace \varnothing \rbrace := \mathbb N$.
$\inf \lbrace \mathbb N \rbrace := \varnothing$. $\sup \lbrace \mathbb N \rbrace := \mathbb N$.
Description You type
character (inline) formatting – applies anywhere
$\sup \lbrace \varnothing \rbrace := \varnothing$. $\inf \lbrace \varnothing \rbrace := \mathbb N$.
$\inf \lbrace \mathbb N \rbrace := \varnothing$. $\sup \lbrace \mathbb N \rbrace := \mathbb N$.

Fun with arrays

$$ \bigg[\begin{array}{c|c|c|c} A &Ab &\cdots &A^{n-1}b \end{array}\bigg] $$

$$ \left[\begin{array}{cccc|c} a_{11}&a_{12}&\cdots &a_{1n}&b_1\\ a_{21}&a_{22}&\cdots &a_{2n}&b_2\\ \vdots & &\ddots &\vdots *\vdots\\ a_{n1}&a_{n2}&\cdots &a_{nn}&b_n\\ \end{array}\right] $$

$$ C=\left[ \begin{array}{c|c} A &B \\ \hline C & D \end{array}\right] $$

Incorrect rendering

$$ P=\left[ \begin{array}{cc} \begin{array}{cc|} A & A \\ \hline \end{array} &B\\ \begin{array}{cc} A & A \end{array} &N \end{array}\right] $$ It is incorrect (bug in MJ1.1a). See how it is rendered in MJ2.0 http://weyl.math.toronto.edu:8888/MAT244-2012S-wiki/index.php/User_talk:Victor_Ivrii


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