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<b>TeX Filter Reference English en_20040328_SR02</b>
<br /><span style="color: rgb(128, 0, 0);">Find entries by searching for (partial) words or symbols. Enable <b>"search full text"</b> to search not only in the "concept field" but also in the description / definition field. Are you <b>new to the TeX Filter or to TeX?</b> Then you might want to read step by step through the different categories, starting with category <b>"01 Getting started"</b>.</span><br /> <p style="font-size: 8pt;"><u>Test your TeX-Syntax:</u><br /> <a href="http://moodle.org/filter/tex/texdebug.php" target="_new">Test your syntax interactively here</a>. This Link is also available on each moodle site itself: "<i>../filter/tex/texdebug.php</i>"<br /></p> <p style="font-size: 8pt;"><u>About the TeX filter:</u><br />The TeX filter for Moodle has been implemented by <a href="mailto:fiedorow@math.ohio-state.edu">Zbigniew Fiedorow</a>. It is based on <a href="http://www.forkosh.com" target="_new">John Forkosh's mimeTeX</a> 1.40.<br /><u>Contacts:</u><br />For suggestions, critics, help etc. about <i>this reference</i> visit the <a href="http://emathpool.net">eMathPool</a> website or <a href="mailto:andreas.leiser@emathpool.net">send me</a> an email.<br />For any other information about the TeX filter or about moodle, please visit the <a href="http://moodle.org">moodle</a> website.<br /> <u>Contributions by:</u> Andreas Leiser, Mark Burnet</p>
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\small
<ul><li>\small </li><li><u>Ex.:</u> $$$\small~3x$$$ gives $$\small~3x$$</li></ul>
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font size,
03 Font Styles
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\normalsize
<ul><li>Everthing following the \normalsize command will be output in the smallest predefined font size until the system encounters another font size command. </li><li>\normalsize is the default font size, i.e. the size automatically chosen if there is no font size command</li><li><u>Ex.:</u> $$$\normalsize~3x$$$ gives $$\normalsize~3x$$</li></ul>
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font size,
03 Font Styles
1
\hspace{n}
<ul><li>inserts a space of n pixels</li><li><u>Ex.:</u> $$$f(x)\hspace{6}=\hspace{6}0$$$ gives $$f(x)\hspace{6}=\hspace{6}0$$ </li><li>can be combined with the preceding command \unitlength{m}(default: m=1px) , which defines the applied unit</li><li><u>Ex.:</u> $$$\unitlength{20}a\hspace{2}b$$$ gives $$\unitlength{20}a\hspace{2}b$$ , i.e. a space of 20x2=40px</li></ul>
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math spaces
05 Spaces
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\tiny
<ul><li>Everthing following the \tiny command will be output in the smallest predefined font size until the system encounters another font size command.</li><li><u>Ex.:</u> $$$\tiny~3x$$$ gives $$\tiny~3x$$</li></ul>
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font size,
03 Font Styles
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\_ (where _ is blank)
<ul><li>Ordinary whitespace to be used after a dot not denoting the end of a sentence</li><li>After commands without parameters use \~ (tilde) instead in order to avoid browser specific problems</li></ul>
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math spaces, whitespace, blank space
05 Spaces
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\/ (backslash slash)
<ul><li>\/ (backslash slash) avoids ligatures </li><li><u>Ex.:</u> $$$V\/A$$$ gives $$V\/A$$ in contrast to $$$VA$$$ which gives $$VA$$</li></ul>
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math spaces, ligature
05 Spaces
1
\quad
<ul><li>inserts a space of current character set size</li><li><u>Ex.:</u> $$$a\quad~b$$$ gives $$a\quad~b$$</li></ul>
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math spaces
05 Spaces
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\;
<ul><li>\; (backslash semicolon) inserts the third smallest predefined space in a formula </li><li>Equivalent: \hspace{6} </li><li><u>Ex.:</u> $$$a\;b$$$ gives $$a\;b$$ </li><li><u>Ex.:</u> $$$a~\hspace{6}~b$$$ gives also $$a~\hspace{6}~b$$</li></ul>
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math spaces
05 Spaces
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\:
<ul><li>\: inserts the second smallest predefined space in a formula </li><li>Equivalent: \hspace{4}</li><li><u>Ex.:</u> $$$a\:b$$$ gives $$a\:b$$ </li><li><u>Ex.:</u> $$$a~\hspace{4}~b$$$ gives also $$a~\hspace{4}~b$$</li></ul>
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math spaces
05 Spaces
1
\,
<ul><li>\, inserts the smallest predefined space in a formula</li><li>Equivalent: \hspace{2}</li><li><u>Ex.:</u> $$$a\,b$$$ gives $$a\,b$$</li><li><u>Ex.:</u> $$$a~\hspace{2}~b$$$ gives also $$a~\hspace{2}~b$$</li></ul>
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math spaces
05 Spaces
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math spaces
<p>List of predefined spaces:</p><p><table cellspacing="0" cellpadding="1" width="100%"><tbody><tr><td class="activitylabel"><table cellspacing="1" cellpadding="1" width="100%" align="left" border="1"><tbody><tr style="COLOR: #ffffff; BACKGROUND-COLOR: #aaaaaa" width="33%"><td valign="top" width="100%" colspan="3"><strong>Math Spaces</strong></td></tr><tr style="BACKGROUND-COLOR: #dddddd" width="33%"><td valign="top" width="33%"><strong>Command</strong></td><td valign="top" width="33%"><strong>Example</strong></td><td valign="top" width="33%"><strong>Result</strong></td></tr><tr><td valign="top" width="33%">\, (smallest predefined)</td><td valign="top" width="33%">$$$a\,b$$$</td><td valign="top" width="33%">$$a\,b$$</td></tr><tr><td valign="top" width="33%">\: (second smallest predefined)</td><td valign="top" width="33%">$$$a\:b$$$</td><td valign="top" width="33%">$$a\:b$$</td></tr><tr><td valign="top" width="33%">\; (third smallest predefined)</td><td valign="top" width="33%">$$$a\;b$$$</td><td valign="top" width="33%">$$a\;b$$ </td></tr><tr><td valign="top" width="33%">\/ (avoiding ligatures)</td><td valign="top" width="33%">$$$V\/A$$$ instead of $$$VA$$$</td><td valign="top" width="33%">$$V\/A$$ instead of $$VA$$</td></tr><tr><td valign="top" width="33%">\quad (space of current character set size)</td><td valign="top" width="33%">$$$a\quad~b$$$</td><td valign="top" width="33%">$$a\quad~b$$</td></tr><tr><td valign="top" width="33%">\qquad (double space of current character set size)</td><td valign="top" width="33%">$$$a\qquad~b$$$</td><td valign="top" width="33%">$$a\qquad~b$$</td></tr><tr><td valign="top" width="33%">\_ <em>(where _ is blank!)</em></td><td valign="top" width="33%"><p>$$$a\ b$$$</p><p><font color="#ff0000">(whereas $$$a\b$$$ is <em>not</em> a valid filter expression since the blank space is missing; it is recommended to use the tilde ~ instead of the simple whitespace)</font></p></td><td valign="top" width="33%"><p>$$a\ b$$</p><p /></td></tr><tr></td /><td valign="top" width="33%">\hspace{n} ,where n positive integer (= n Pixels)</td><td valign="top" width="33%"><p>$$$a~\hspace{30}~b$$$</p><p>$$$a~\hspace{15}~b$$$</p><p>$$$a~\hspace{2}~b$$$</p><p>$$$a~\hspace{1}~b$$$</p></td><td valign="top" width="33%"><p>$$a~\hspace{30}~b$$</p><p>$$a~\hspace{15}~b$$</p><p>$$a~\hspace{2}~b$$</p><p>$$a~\hspace{1}~b$$</p></td></tr><tr><td valign="top" width="33%">\unitlength{m}\hspace{n}, changes the default unit length (m=1px) to be applied</td><td valign="top" width="33%"><p>$$$a~\hspace{2}~b\unitlength{10}~\hspace{2}~c$$$</p><p><em>(second space is 10x2=20px)</em></p></td><td valign="top" width="33%">$$a~\hspace{2}~b\unitlength{10}~\hspace{2}~c$$</td></tr></tbody></table></td></tr></tbody></table></p><p><strong>Note:</strong> Simple blank spaces and tildes (~) are ignored by the TeX filter and don't produce any space. You must use one of the defined math spaces to get a visible (extra) space.</p>
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spaces in formulas, predefined spaces
05 Spaces
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\~
<ul><li>In order to prevent some browser specific problems with whitespaces, it is advisable to use ~ (tilde) as the whitespace instead of the normal blank key (in places where whitespaces are mandatory, e.g. after commands).</li><li><u>Ex.:</u> $$$\frac~xy$$$ to produce $$\frac~xy$$</li><li><u>Ex.:</u> $$$\sqrt~n$$$ to produce $$\sqrt~n$$</li></ul>
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blank space, blank key, required whitespace
05 Spaces
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contour integral
<ul><li>General syntax for symbols with a kind of lower and upper limits:</li></ul><p align="center">\<em>symbolname</em>_{<em>lowerexpression</em>}^{<em>upperexpression</em>}</p><ul><li>In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix. </li><li>Syntax for the contour integral symbol:</li></ul><p align="center">$$$\bigoint_{0}^{\infty}$$$ gives </p><p align="center">$$\bigoint_{0}^{\infty}$$ </p><p align="center">and</p><p align="center">$$$\oint_{0}^{\infty}$$$ gives </p><p align="center">$$\oint_{0}^{\infty}$$</p><ul><li><div align="left">Use font size commands for a nicer picture:</div></li></ul><p align="left" /><p align="center">$$$\LARGE\bigoint_{\small0}^{\small\infty}$$$ gives </p><p /><p align="center">$$\LARGE\bigoint_{\small0}^{\small\infty}$$ </p><p align="left" /><p align="center">and</p><p align="center">$$$\large\oint_{\small0}^{\small\infty}$$$ gives </p><p /><p align="center">$$\large\oint_{\small0}^{\small\infty}$$</p>
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06 Symbols
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sum (summation)
<ul><li>General syntax for symbols with a kind of lower and upper limits:</li></ul><p align="center">\<em>symbolname</em>_{<em>lowerexpression</em>}^{<em>upperexpression</em>}</p><ul><li>In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix.</li><li>Syntax for summation symbol:</li></ul><p align="center">$$$\bigsum_{i=k}^{n}$$$ gives </p><p align="center">$$\bigsum_{i=k}^{n}$$ </p><p align="center">and</p><p align="center">$$$\sum_{i=k}^{n}$$$ gives </p><p align="center">$$\sum_{i=k}^{n}$$</p><ul><li><div align="left">Use font size commands for a nicer picture:</div></li></ul><p align="left" /><p align="center">$$$\LARGE\bigsum_{\small{i=1}}^{\small{n}}$$$ gives </p><p /><p align="center">$$\LARGE\bigsum_{\small{i=1}}^{\small{n}}$$ </p><p align="left" /><p align="center">and</p><p align="center">$$$\large\sum_{\small{i=1}}^{\small{n}}$$$ gives </p><p /><p align="center">$$\large\sum_{\small{i=1}}^{\small{n}}$$</p>
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big sum
06 Symbols
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smiley
$$$~\unitlength{.6}~\picture(100){~~(50,50){\circle(99)}~ ~(20,55;50,0;2){+1$\hat\bullet}~~(50,40){\bullet}~~(50,35){\circle(50,25;34)}~ ~(50,35){\circle(50,45;34)}}$$$ is $$~\unitlength{.6}~\picture(100){~~(50,50){\circle(99)}~ ~(20,55;50,0;2){+1$\hat\bullet}~~(50,40){\bullet}~~(50,35){\circle(50,25;34)}~ ~(50,35){\circle(50,45;34)}}$$
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smiley
formula box
<p>$$$\fbox{x=\frac{1}{2}}$$$ gives </p><p align="center">$$\fbox{x=\frac{1}{2}}$$ </p>
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fbox
infinity
<p>$$$\infty$$$ gives $$\infty$$</p>
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infinity
06 Symbols
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mathematics expression
<ul><li>A valid expression inside the $'s is rendered as mathematics in an inserted gif image.</li><li><u>Ex.:</u> $$$x=y^2$$$ creates </li></ul><p align="center">$$x=y^2$$ </p>
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mathematics expression
01 Getting started
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subscript
<ul><li>The command character "_" triggers subscription of the following expression(s).</li><li>For more than one subscripted character put them in braces {...}.</li><li>Use font sizing commands for appropriate sizing.</li><li><u>Ex.:</u>$$$x_1$$$ gives </li></ul><p style="TEXT-ALIGN: center">$$x_1$$</p><ul><li><u>Ex.:</u>$$$a_{m+2n}$$$ gives </li></ul><p style="TEXT-ALIGN: center">$$a_{m+2n}$$</p><ul><li><u>Ex. (with specific sizing):</u> $$$x_{\small1}=a_{\small{m+2n}}$$$ gives</li></ul><p style="TEXT-ALIGN: center">$$x_{\small1}=a_{\small{m+2n}}$$</p><ul><li>Combine subscripting with superscripting (command character "^"). <br />Syntax: Expr_{subExpr}^{supExpr}.</li><li><u>Ex.:</u> $$$A_{\small{i,j,k}}^{\small{-n+2}}$$$ gives</li></ul><p style="TEXT-ALIGN: center">$$A_{\small{i,j,k}}^{\small{-n+2}}$$</p>
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02 Arithmetic expressions, sub-/superscripts, roots
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less than
<p>$$$<$$$ gives</p><p align="center">$$<$$ </p>
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less than
<
07 Relations
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not equal
<p>$$$x\neq~y$$$ gives </p><p align="center">$$x\neq~y$$ </p><p align="left"><font color="#ff0000"><strong>note:</strong></font> \neg produces the logical negation, i.e. $$$\neg~A$$$ gives </p><p align="center">$$\neg~A$$</p>
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<>
07 Relations
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beta (lower case greek letter)
$$$\beta$$$ gives $$\beta$$
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06 Symbols
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superscript
<ul><li>The command character "^" triggers superscription of the following expression(s).</li><li>For more than one superscripted character put them in braces {...}.</li><li>Use font sizing commands for appropriate sizing.</li><li><u>Ex.:</u> $$$x^2$$$ gives </li></ul><p style="TEXT-ALIGN: center">$$x^2$$</p><ul><li><u>Ex.:</u> $$$a^{m+2n}$$$ gives </li></ul><p style="TEXT-ALIGN: center">$$a^{m+2n}$$</p><ul><li><u>Ex. (with specific sizing):</u> $$$x^{\small2}=a^{\small{m+2n}}$$$ gives</li></ul><p style="TEXT-ALIGN: center">$$x^{\small2}=a^{\small{m+2n}}$$</p><ul><li>Combine superscripting with subscripting (command character "_"). <br />Syntax: Expr_{subExpr}^{supExpr}.</li><li><u>Ex.:</u> $$$A_{\small{i,j,k}}^{\small{-n+2}}$$$ gives</li></ul><p style="TEXT-ALIGN: center">$$A_{\small{i,j,k}}^{\small{-n+2}}$$</p>
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02 Arithmetic expressions, sub-/superscripts, roots
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greater than
<p>$$$x>y$$$ gives </p><p align="center">$$x>y$$ </p>
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>
greater than
07 Relations
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square root
<ul><li>$$$\sqrt{a}$$$ or $$$\sqrt~a$$$ gives $$\sqrt~a$$</li><li>Use braces for terms with more than one character: $$$\sqrt{x+y}$$$ gives</li></ul><p align="center">$$\sqrt{x+y}$$</p>
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02 Arithmetic expressions, sub-/superscripts, roots
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triangle
$$$\triangle~abc$$$ gives $$\triangle~abc$$
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triangle
Learning Formula
$$\frac{success}{problem}=~\unitlength{.6}~\picture(100){~~(50,50){\circle(99)}~ ~(20,55;50,0;2){+1$\hat\bullet}~~(50,40){\bullet}~~(50,35){\circle(50,25;34)}~ ~(50,35){\circle(50,45;34)}}$$
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learning formula
delta (lower case greek letter)
$$$\delta$$$ gives $$\delta $$
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delta
06 Symbols
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TeX
$$TeX$$ notation allows for the expression of ASCII characters to generate formatted graphics output
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TeX
array
<ul><li>Syntax for an n-dimensional array: <br />\begin{array}a<sub>1</sub>&...&a<sub>n</sub>\end{array}</li><li><u>Ex.:</u> $$$\(\begin{array}a_{\fs{0}1}\fs{3},&a_{\fs{0}2}\fs{3},&a_{\fs{0}3}\end{array}\)$$$ gives</li></ul><p align="center">$$(\begin{array}a_{\fs{0}1}\fs{3},&a_{\fs{0}2}\fs{3},&a_{\fs{0}3}\end{array})$$</p>
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array, vector, matrix
09 Structures
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triggering the TeX filter
<ul><li>Two double $'s embracing a valid math expression trigger the filter to generate and insert the formula gif. </li><li><u>Ex.:</u> $$$a^2$$$ produces $$a^2$$<br /></li></ul>
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trigger, TeX filter, start filter
01 Getting started
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escaping the TeX filter
<ul><li>With two triple $'s embracing an expression you can make the filter to escape and the code itself is shown (with two embracing double $'s). </li><li><u>Ex.:</u> $$$$a^2$$$$ produces $$$a^2$$$, i.e. prevents the filter to render it as a formula gif.</li></ul>
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escape; suppress filter; prevent from filtering
01 Getting started
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\large (all lower case letters)
<ul><li>Everthing following the \large command will be output in the large font size until the system encounters another font size command. </li><li>Note: This command is case sensitive, since large, Large and LARGE are different sizes! </li><li><u>Ex.:</u> $$$\large~3x$$$ gives $$\large~3x$$</li></ul>
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font size, fs{3}
03 Font Styles
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\Large (L capital letter)
<ul><li>Everthing following the \Large command will be output in the second largest font size until the system encounters another font size command. </li><li>Note: This command is case sensitive, since large, Large and LARGE are different sizes! </li><li><u>Ex.:</u> $$$\Large~3x$$$ gives $$\Large~3x$$</li></ul>
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font size,
03 Font Styles
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\LARGE (all capital letters)
<ul><li>Everthing following the \LARGE command will be output in the largest predefined font size until the system encounters another font size command. </li><li>Note: This command is case sensitive, since large, Large and LARGE are different sizes! </li><li><u>Ex.:</u> $$$\LARGE~3x$$$ gives $$\LARGE~3x$$</li></ul>
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font size,
03 Font Styles
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absolute font sizes (overview)
<p><table cellspacing="0" cellpadding="1" width="100%"><tbody><tr><td class="activitylabel"><table cellspacing="1" cellpadding="1" width="100%" align="left" border="1"><tbody><tr style="COLOR: #ffffff; BACKGROUND-COLOR: #aaaaaa" width="33%"><td valign="top" width="100%" colspan="3"><strong>Absolute Font Sizes</strong></td></tr><tr style="BACKGROUND-COLOR: #dddddd" width="33%"><td valign="top" width="33%"><strong>Command</strong></td><td valign="top" width="33%"><strong>Example</strong></td><td valign="top" width="33%"><strong>Result</strong></td></tr><tr><td valign="top" width="33%">\tiny</td><td valign="top" width="33%">$$$\tiny 3x$$$</td><td valign="top" width="33%">$$\tiny 3x$$</td></tr><tr><td valign="top" width="33%">\small</td><td valign="top" width="33%">$$$\small 3x$$$</td><td valign="top" width="33%">$$\small 3x$$</td></tr><tr><td valign="top" width="33%">\normalsize <em>(default)</em></td><td valign="top" width="33%">$$$\normalsize 3x$$$ or just $$$3x$$$</td><td valign="top" width="33%">$$\normalsize 3x$$ </td></tr><tr><td valign="top" width="33%">\large</td><td valign="top" width="33%">$$$\large 3x$$$</td><td valign="top" width="33%">$$\large 3x$$</td></tr><tr><td valign="top" width="33%">\Large</td><td valign="top" width="33%">$$$\Large 3x$$$</td><td valign="top" width="33%">$$\Large 3x$$</td></tr><tr><td valign="top" width="33%">\LARGE</td><td valign="top" width="33%">$$$\LARGE 3x$$$</td><td valign="top" width="33%">$$\LARGE 3x$$</td></tr><tr><td valign="top" width="33%"> </td><td valign="top" width="33%"> </td><td valign="top" width="33%"> </td></tr><tr></td /><td valign="top" width="33%"><p><font color="#000000">\huge and \Huge are <em>not</em> supported by the mimeTeX filter</font></p></td><td valign="top" width="33%"> </td><td valign="top" width="33%"> </td></tr><tr><td valign="top" width="33%"></td><td valign="top" width="33%"></td><td valign="top" width="33%"></td></tr></tbody></table></td></tr></tbody></table></p><p />
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03 Font Styles
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\qquad
<ul><li>inserts a double space of current character set size</li><li><u>Ex.:</u> $$$a\qquad~b$$$ gives $$a\qquad~b$$</li></ul>
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math space
05 Spaces
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parentheses
<ul><li>Syntax: \left(...\right) or \(...\)</li><li><u>Ex.:</u> $$$2a\left(b+c\right)$$$ gives </li></ul><p align="center">$$2a\left(b+c\right)$$</p>
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04 Delimiters (parentheses, braces,...)
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braces
<ul><li>Syntax: \left{...\right}</li><li><u>Ex.:</u> $$$M=\left{a, b, c\right}$$$ gives </li></ul><p align="center">$$M=\left{a, b, c\right}$$</p>
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04 Delimiters (parentheses, braces,...)
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square bracket
<ul><li>Synatx: \left[...\right] </li><li><u>Ex.:</u> $$$\left[a,b\right]$$$ gives $$\left[a,b\right]$$</li></ul>
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04 Delimiters (parentheses, braces,...)
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angle bracket
<ul><li>Syntax: \left<...\right></li><li><u>Ex.:</u> $$$\left<f,g\right>$$$ gives </li></ul><p align="center">$$\left<f,g\right>$$</p>
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04 Delimiters (parentheses, braces,...)
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vertical line (absolute value, determinant, ...etc. symbol)
<ul><li>Syntax: \left|...\right| </li><li><u>Ex.:</u> $$$\left|b-a\right|$$$ gives $$\left|b-a\right|$$ </li><li><u>Ex.:</u> $$${\rm~det}\left|\begin{array}{cc}a&b\\c&d \end{array}\right|$$$ gives </li></ul><p align="center">$${\rm~det}\left|\begin{array}{cc}a&b\\c&d \end{array}\right|$$ </p><p align="left"> <br />("\rm~something" renders "something" in roman style)</p>
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absolute value symbol, determinant symbol
04 Delimiters (parentheses, braces,...)
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double vertical line (norm symbol)
<ul><li>Syntax: \left\|...\right\| </li><li><u>Exp.:</u> $$$\left\|af\right\| = \left|a\right|\left\|f\right\|$$$ gives </li></ul><p align="center">$$\left\|af\right\| = \left|a\right|\left\|f\right\|$$</p>
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norm
04 Delimiters (parentheses, braces,...)
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left only brace
<ul><li>Syntax: \left{...\right. <em><font color="#ff0000">(note the dot at the end!)</font></em></li><li><font color="#000000"><u>Ex.:</u> $$$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$$ gives </font></li></ul><p align="center"><font color="#000000">$$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$</font></p><p>(\rm~something switches to roman style)</p>
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04 Delimiters (parentheses, braces,...)
1
right only brace
<ul><li>Syntax: \left.{...\right} <em><font color="#ff0000">(note the dot!)</font></em></li><li><u>Ex.:</u> $$$\left.{{\rm~term1\atop\rm~term2}\right}=y$$$ gives </li></ul><p align="center">$$\left.{{\rm~term1\atop\rm~term2}\right}=y$$</p><p>(\rm~something switches to roman style)</p>
1
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1
04 Delimiters (parentheses, braces,...)
1
delimiters (overview)
<p><table cellspacing="0" cellpadding="1" width="100%"><tbody><tr><td class="activitylabel"><table cellspacing="1" cellpadding="1" width="100%" align="left" border="1"><tbody><tr style="COLOR: #ffffff; BACKGROUND-COLOR: #aaaaaa" width="33%"><td valign="top" width="100%" colspan="3"><strong>Delimiters (parentheses, braces, brackets. ...)</strong></td></tr><tr style="BACKGROUND-COLOR: #dddddd" width="33%"><td valign="top" width="33%"><strong>Command</strong></td><td valign="top" width="33%"><strong>Example</strong></td><td valign="top" width="33%"><strong>Result</strong></td></tr><tr><td valign="top" width="33%"><p>\left(... \right)</p></td><td valign="top" width="33%">$$$2\left(a+b\right)$$$</td><td valign="top" width="33%">$$2~\left(a+b\right)$$</td></tr><tr><td valign="top" width="33%">\left[... \right]</td><td valign="top" width="33%">$$$\left[a^2+b^2~\right]$$$</td><td valign="top" width="33%">$$\left[a^2+b^2~\right]$$</td></tr><tr><td valign="top" width="33%">\left{... \right}</td><td valign="top" width="33%">$$$\left{x^2, x^3, x^4,... \right}$$$</td><td valign="top" width="33%">$$\left{x^2, x^3, x^4,... \right}$$</td></tr><tr><td valign="top" width="33%">\left\langle... \right\rangle</td><td valign="top" width="33%">$$$\left\langle a,b~\right\rangle$$$</td><td valign="top" width="33%">$$\left\langle a,b~\right\rangle$$</td></tr><tr><td valign="top" width="33%">\left| ... \right| </td><td valign="top" width="33%">$$$\det\left|\array{a&b\\c&d}\right| $$$</td><td valign="top" width="33%">$$\det\left|\array{a&b\\c&d}\right| $$</td></tr><tr><td valign="top" width="33%">\left\| ... \right\| </td><td valign="top" width="33%">$$$\left\|f~\right\|$$$</td><td valign="top" width="33%">$$\left\|f~\right\|$$</td></tr><tr><td valign="top" width="33%"><p>\left{ ... \right<strong>.</strong></p><p><font color="#ff0000"><em>(note the dot!)</em></font></p></td><td valign="top" width="33%"><p>$$$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$$</p><p>(\rm switches to roman style)</p></td><td valign="top" width="33%"><p>$$f(x)=\left{{x^2, \rm~if x>-1\atop~0, \rm~else}\right.$$</p></td></tr><tr></td /><td valign="top" width="33%"><p>\left<strong>.</strong>{ ... \right\}</p><p><font color="#ff0000"><em>(note the dot!)</em></font></p></td><td valign="top" width="33%">$$$\left.{{\rm~term1\atop\rm~term2}\right}=y$$$</td><td valign="top" width="33%">$$\left.{{\rm~term1\atop \rm~term2}\right}=y$$</td></tr><tr><td valign="top" width="33%"></td><td valign="top" width="33%"></td><td valign="top" width="33%"></td></tr></tbody></table></td></tr></tbody></table></p><p><strong>Note:</strong> The delimiters are automatically sizes.</p>
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1
04 Delimiters (parentheses, braces,...)
1
matrix
<ul><li>An (m,n)-matrix is considered as an array of m*n elements, where the elements of a column are separated by "&" and the rows by "\\".</li></ul><ul><li>Syntax for an (m,n)-matrix: <br />\begin{array}{<em>colformat}</em>a<sub>11</sub>&...&a<sub>1n</sub>\\a<sub>21</sub>&...&a<sub>2n</sub>\\... \\a<sub>m1</sub>&...&a<sub>mn </sub>\end{array}<p dir="ltr" style="MARGIN-RIGHT: 0px">where<br /><em>colformat</em> defines the format of each of the n columns: l for left, r for right and c for center (hence {ccccc} defines for a (m,5)-matrix in which all columns are centered)</p></li><li><u>Ex.:</u> $$$\left(\begin{array}{lcr}a_{\tiny1}+d & a_{\tiny2}+d & a_{\tiny3}+d \\ b_{\tiny1}& b_{\tiny2}& b_{\tiny3} \\ c_{\tiny1} & c_{\tiny2} & c_{\tiny3} \end{array}\right)$$$ gives</li></ul><p align="center">$$\left(\begin{array}{lcr}a_{\tiny1}+d & a_{\tiny2}+d & a_{\tiny3}+d \\ b_{\tiny1}& b_{\tiny2}& b_{\tiny3} \\ c_{\tiny1} & c_{\tiny2} & c_{\tiny3} \end{array}\right)$$</p><p align="left">Note in the example above that "lcr" has the effect that column 1 is left aligned, column 2 centered and colums 3 right aligned.</p>
1
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0
1
matrix, array
09 Structures
1
constants
<ul><li>Numbers in formulas are interpreted as constants and they are rendered in non-italic roman font face, which is a widely used convention.</li><li>Following this convention, variables are shown in italic.</li><li><u>Exp.:</u> $$$f(x)=3a+x$$$ gives</li></ul><p style="TEXT-ALIGN: center">$$f(x)=3a+x$$</p>
1
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0
0
1
02 Arithmetic expressions, sub-/superscripts, roots
1
variables
<ul><li>Variables in formulas are rendered in italic roman font face, which is a widely used convention.</li><li>Following this convention, constants are shown as non-italic.</li><li><u>Exp.:</u> $$$f(x)=3a+x$$$ gives</li></ul><p style="TEXT-ALIGN: center">$$f(x)=3a+x$$</p>
1
0
0
0
1
02 Arithmetic expressions, sub-/superscripts, roots
1
arithmetic operations
<ul><li>Type arithmetic operations and "=" as usual.</li><li><u>Exp.:</u> $$$f(x)=x-2b+(3a/c)$$$ gives</li></ul><p style="TEXT-ALIGN: center">$$f(x)=x-2b+(3a/c)$$</p><ul><li>See also keyword "fraction" for extended capabilities.</li></ul>
1
0
0
0
1
02 Arithmetic expressions, sub-/superscripts, roots
1
fraction
<ul><li>Syntax: \frac{numerator}{denominator}</li><li>Use font sizing commands for specific sizing if you don't want the predefined one to be taken.</li><li><u>Ex. (with predefined sizing):</u> $$$f(x,y)=\frac{2a}{x+y}$$$ gives </li></ul><p style="TEXT-ALIGN: center">$$f(x,y)=\frac{2a}{x+y}$$</p><ul><li><u>Ex. (with specific sizing):</u> $$$f(x,y)=\frac{\fs{2}2a}{\fs{2}x+y}$$$ gives </li></ul><p style="TEXT-ALIGN: center">$$f(x,y)=\frac{\fs{2}2a}{\fs{2}x+y}$$</p><ul><li>You may nest fractions as much as you want.</li><li><u>Ex. (nested fractions):</u> $$$\frac{\frac{a}{x-y}+\frac{b}{x+y}}{1+\frac{a-b}{a+b}}$$$ gives </li></ul><p style="TEXT-ALIGN: center">$$\frac{\frac{a}{x-y}+\frac{b}{x+y}}{1+\frac{a-b}{a+b}}$$</p>
1
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0
0
1
02 Arithmetic expressions, sub-/superscripts, roots
1
root
<ul><li>Syntax: \sqrt[n]{arg} or simply \sqrt{arg} for \sqrt[2]{arg}</li><li><u>Ex.:</u> $$$\sqrt[3]{8}$$$ gives</li></ul><p align="center">$$\sqrt[3]{8}$$</p><ul><li><u>Ex.:</u> $$$\sqrt{-1}$$$ gives</li></ul><p align="center">$$\sqrt{-1}$$</p><ul><li>Nesting of roots (and combining with fractions, ...etc.) are possible.</li><li><u>Ex.:</u> $$$\sqrt[n]{\frac{x^n-y^n}{1+u^{2n}}}$$$ gives</li></ul><p align="center">$$\sqrt[n]{\frac{x^n-y^n}{1+u^{2n}}}$$</p><ul><li><u>Ex.:</u> $$$\sqrt[3]{-q+\sqrt{q^2+p^3}}$$$ gives</li></ul><p align="center">$$\sqrt[3]{-q+\sqrt{q^2+p^3}}$$</p>
1
0
0
0
1
square root
02 Arithmetic expressions, sub-/superscripts, roots
1
greater than or equal
<p>$$$x\ge~y$$$ or $$$x\geq~y$$$ gives </p><p align="center">$$x\ge~y$$ </p>
1
0
0
0
1
>=
07 Relations
1
less than or equal
<p>$$$x\le~y$$$ or $$$x\leq~y$$$ gives </p><p align="center">$$x\le~y$$ </p>
1
0
0
0
1
<=
07 Relations
1
greek letters (overview)
<p>Simply write \<em>greekletter</em> for lower case and \<em>Greekletter</em> for upper case<em>.</em></p><p>Here's a list of all known greek letters (Note: not all <em>upper case</em> greek letters are known):</p><p><strong>Lower Case Greek Letters:</strong></p><p><table cellspacing="1" cellpadding="5" width="100%" border="1"><tbody><tr style="FONT-WEIGHT: bold; BACKGROUND: #dddddd"><td valign="top" width="33%">Command</td><td valign="top" width="33%">Filter Expression</td><td valign="top" width="33%">Result</td></tr><tr><td valign="top" width="33%">\alpha</td><td valign="top" width="33%">$$$\alpha$$$</td><td valign="top" width="33%">$$\alpha$$</td></tr><tr><td valign="top" width="33%">\beta</td><td valign="top" width="33%">$$$\beta$$$</td><td valign="top" width="33%">$$\beta$$</td></tr><tr><td valign="top" width="33%">\gamma</td><td valign="top" width="33%">$$$\gamma$$$</td><td valign="top" width="33%">$$\gamma$$</td></tr><tr><td valign="top" width="33%">\delta</td><td valign="top" width="33%">$$$\delta$$$</td><td valign="top" width="33%">$$\delta$$</td></tr><tr><td valign="top" width="33%">\epsilon</td><td valign="top" width="33%">$$$\epsilon$$$</td><td valign="top" width="33%">$$\epsilon$$</td></tr><tr><td valign="top" width="33%">\varepsilon</td><td valign="top" width="33%">$$$\varepsilon$$$</td><td valign="top" width="33%">$$\varepsilon$$</td></tr><tr><td valign="top" width="33%">\zeta</td><td valign="top" width="33%">$$$\zeta$$$</td><td valign="top" width="33%">$$\zeta$$</td></tr><tr><td valign="top" width="33%">\eta</td><td valign="top" width="33%">$$$\eta$$$</td><td valign="top" width="33%">$$\eta$$</td></tr><tr><td valign="top" width="33%">\theta</td><td valign="top" width="33%">$$$\theta$$$</td><td valign="top" width="33%">$$\theta$$</td></tr><tr><td valign="top" width="33%">\vartheta</td><td valign="top" width="33%">$$$\vartheta$$$</td><td valign="top" width="33%">$$\vartheta$$</td></tr><tr><td valign="top" width="33%">\iota</td><td valign="top" width="33%">$$$\iota$$$</td><td valign="top" width="33%">$$\iota$$</td></tr><tr><td valign="top" width="33%">\kappa</td><td valign="top" width="33%">$$$\kappa$$$</td><td valign="top" width="33%">$$\kappa$$</td></tr><tr><td valign="top" width="33%">\lambda</td><td valign="top" width="33%">$$$\lambda$$$</td><td valign="top" width="33%">$$\lambda$$</td></tr><tr><td valign="top" width="33%">\mu</td><td valign="top" width="33%">$$$\mu$$$</td><td valign="top" width="33%">$$\mu$$</td></tr><tr><td valign="top" width="33%">\nu</td><td valign="top" width="33%">$$$\nu$$$</td><td valign="top" width="33%">$$\nu$$</td></tr><tr><td valign="top" width="33%">\xi</td><td valign="top" width="33%">$$$\xi$$$</td><td valign="top" width="33%">$$\xi$$</td></tr><tr><td valign="top" width="33%">o <font color="#ff0000">(!)</font></td><td valign="top" width="33%">$$$o$$$</td><td valign="top" width="33%">$$o$$</td></tr><tr><td valign="top" width="33%">\pi</td><td valign="top" width="33%">$$$\pi$$$</td><td valign="top" width="33%">$$\pi$$</td></tr><tr><td valign="top" width="33%">\varpi</td><td valign="top" width="33%">$$$\varpi$$$</td><td valign="top" width="33%">$$\varpi$$</td></tr><tr><td valign="top" width="33%">\rho</td><td valign="top" width="33%">$$$\rho$$$</td><td valign="top" width="33%">$$\rho$$</td></tr><tr><td valign="top" width="33%">\varrho</td><td valign="top" width="33%">$$$\varrho$$$</td><td valign="top" width="33%">$$\varrho$$</td></tr><tr><td valign="top" width="33%">\sigma</td><td valign="top" width="33%">$$$\sigma$$$</td><td valign="top" width="33%">$$\sigma$$</td></tr><tr><td valign="top" width="33%">\varsigma</td><td valign="top" width="33%">$$$\varsima$$$</td><td valign="top" width="33%">$$\varsigma$$</td></tr><tr><td valign="top" width="33%">\tau</td><td valign="top" width="33%">$$$\tau$$$</td><td valign="top" width="33%">$$\tau$$</td></tr><tr><td valign="top" width="33%">\upsilon</td><td valign="top" width="33%">$$$\upsilon$$$</td><td valign="top" width="33%">$$\upsilon$$</td></tr><tr><td valign="top" width="33%">\phi</td><td valign="top" width="33%">$$$\phi$$$</td><td valign="top" width="33%">$$\phi$$</td></tr><tr><td valign="top" width="33%">\varphi</td><td valign="top" width="33%">$$$\varphi$$$</td><td valign="top" width="33%">$$\varphi$$</td></tr><tr><td valign="top" width="33%">\chi</td><td valign="top" width="33%">$$$\chi$$$</td><td valign="top" width="33%">$$\chi$$</td></tr><tr><td valign="top" width="33%">\psi</td><td valign="top" width="33%">$$$\psi$$$</td><td valign="top" width="33%">$$\psi$$</td></tr><tr><td valign="top" width="33%">\omega</td><td valign="top" width="33%">$$$\omega$$$</td><td valign="top" width="33%">$$\omega$$</td></tr><tr><td valign="top" width="33%"></td><td valign="top" width="33%"></td><td valign="top" width="33%"></td></tr></tbody></table></p><p /><p><b>Upper Case Greek Letters:</b></p><p><table cellspacing="1" cellpadding="5" width="100%" border="1"><tbody><tr style="FONT-WEIGHT: bold; BACKGROUND: #dddddd"><td valign="top" width="33%">Command</td><td valign="top" width="33%">Filter Expression</td><td valign="top" width="33%">Result</td></tr><tr><td valign="top" width="33%">\Gamma</td><td valign="top" width="33%">$$$\Gamma$$$</td><td valign="top" width="33%">$$\Gamma$$</td></tr><tr><td valign="top" width="33%">\Delta</td><td valign="top" width="33%">$$$\Delta$$$</td><td valign="top" width="33%">$$\Delta$$</td></tr><tr><td valign="top" width="33%">\Theta</td><td valign="top" width="33%">$$$\Theta$$$</td><td valign="top" width="33%">$$\Theta$$</td></tr><tr><td valign="top" width="33%">\Lambda</td><td valign="top" width="33%">$$$\Lambda$$$</td><td valign="top" width="33%">$$\Lambda$$</td></tr><tr><td valign="top" width="33%">\Xi</td><td valign="top" width="33%">$$$\Xi$$$</td><td valign="top" width="33%">$$\Xi$$</td></tr><tr><td valign="top" width="33%">\Pi</td><td valign="top" width="33%">$$$\Pi$$$</td><td valign="top" width="33%">$$\Pi$$</td></tr><tr><td valign="top" width="33%">\Sigma</td><td valign="top" width="33%">$$$\Sigma$$$</td><td valign="top" width="33%">$$\Sigma$$</td></tr><tr><td valign="top" width="33%">\Upsilon</td><td valign="top" width="33%">$$$\Upsilon$$$</td><td valign="top" width="33%">$$\Upsilon$$</td></tr><tr><td valign="top" width="33%">\Phi</td><td valign="top" width="33%">$$$\Phi$$$</td><td valign="top" width="33%">$$\Phi$$</td></tr><tr><td valign="top" width="33%">\Psi</td><td valign="top" width="33%">$$$\Psi$$$</td><td valign="top" width="33%">$$\Psi$$</td></tr><tr><td valign="top" width="33%">\Omega</td><td valign="top" width="33%">$$$\Omega$$$</td><td valign="top" width="33%">$$\Omega$$</td></tr></tbody></table></p><p />
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1
06 Symbols
1
integral
<ul><li>General syntax for symbols with a kind of lower and upper limits:</li></ul><p align="center">\<em>symbolname</em>_{<em>lowerexpression</em>}^{<em>upperexpression</em>}</p><ul><li>In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix. </li><li>Syntax for integral symbol:</li></ul><p align="center">$$$\bigint_{0}^{\infty}$$$ gives </p><p align="center">$$\bigint_{0}^{\infty}$$ </p><p align="center">and</p><p align="center">$$$\int_{0}^{\infty}$$$ gives </p><p align="center">$$\int_{0}^{\infty}$$</p><ul><li><div align="left">Use font size commands for a nicer picture:</div></li></ul><p align="left" /><p align="center">$$$\LARGE\bigint_{\small0}^{\small\infty}$$$ gives </p><p /><p align="center">$$\LARGE\bigint_{\small0}^{\small\infty}$$ </p><p align="left" /><p align="center">and</p><p align="center">$$$\large\int_{\small0}^{\small\infty}$$$ gives </p><p /><p align="center">$$\large\int_{\small0}^{\small\infty}$$</p>
1
0
0
0
1
int
06 Symbols
1
product
<ul><li>General syntax for symbols with a kind of lower and upper limits:</li></ul><p align="center">\<em>symbolname</em>_{<em>lowerexpression</em>}^{<em>upperexpression</em>}</p><ul><li>In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix. </li><li>Syntax for product symbol:</li></ul><p align="center">$$$\bigprod_{i=k}^{n}$$$ gives </p><p align="center">$$\bigprod_{i=k}^{n}$$ </p><p align="center">and</p><p align="center">$$$\prod_{i=k}^{n}$$$ gives </p><p align="center">$$\prod_{i=k}^{n}$$</p><ul><li><div align="left">Use font size commands for a nicer picture:</div></li></ul><p align="left" /><p align="center">$$$\LARGE\bigprod_{\tiny{i=k}}^{\tiny{n}}$$$ gives </p><p /><p align="center">$$\LARGE\bigprod_{\tiny{i=k}}^{\tiny{n}}$$ </p><p align="left" /><p align="center">and</p><p align="center">$$$\large\prod_{\small{i=k}}^{\small{n}}$$$ gives </p><p /><p align="center">$$\large\prod_{\small{i=k}}^{\small{n}}$$</p>
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0
0
0
1
06 Symbols
1
coproduct
<ul><li>General syntax for symbols with a kind of lower and upper limits:</li></ul><p align="center">\<em>symbolname</em>_{<em>lowerexpression</em>}^{<em>upperexpression</em>}</p><ul><li>In general, there are two ways how these lower and upper expressions can be placed: centered below and above the symbol or in a subscript / superscript manner. In the first case the symbol name is preceded by the word "big", in the second there is no prefix. </li><li><font color="#ff0000"><strong>Note:</strong> mimeTeX seems currently only to support the \bigcoprod command.</font></li><li>Syntax for coproduct symbol: </li></ul><p align="center">$$$\bigcoprod_{i=k}^{n}$$$ gives </p><p align="center">$$\bigcoprod_{i=k}^{n}$$ </p><ul><li><div align="left">Use font size commands for a nicer picture:</div></li></ul><p align="left" /><p align="center">$$$\LARGE\bigcoprod_{\small{i=k}}^{\small~n}$$$ gives </p><p /><p align="center">$$\LARGE\bigcoprod_{\small{i=k}}^{\small~n}$$</p>
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0
0
0
1
coprod
06 Symbols
1
alpha (lower case greek letter)
$$$\alpha$$$ gives $$\alpha$$
1
0
0
0
1
06 Symbols
1
gamma (lower case greek letter)
$$$\gamma$$$ gives $$\gamma$$
1
0
0
0
1
06 Symbols
1
epsilon (lower case greek letter)
$$$\epsilon$$$ gives $$\epsilon$$
1
0
0
0
1
06 Symbols
1
varepsilon (special lower case greek letter)
$$$\varepsilon$$$ gives $$\varepsilon$$
1
0
0
0
1
06 Symbols
1
zeta (lower case greek letter)
$$$\zeta$$$ gives $$\zeta$$
1
0
0
0
1
06 Symbols
1
eta (lower case greek letter)
$$$\eta$$$ gives $$\eta$$
1
0
0
0
1
06 Symbols
1
theta (lower case greek letter)
$$$\theta$$$ gives $$\theta$$
1
0
0
0
1
06 Symbols
1
vartheta (special lower case greek letter)
$$$\vartheta$$$ gives $$\vartheta$$
1
0
0
0
1
06 Symbols
1
iota (lower case greek letter)
$$$\iota$$$ gives $$\iota$$
1
0
0
0
1
06 Symbols
1
kappa
$$$\kappa$$$ gives $$\kappa$$
1
0
0
0
1
06 Symbols
1
lambda (lower case greek letter)
$$$\lambda$$$ gives $$\lambda$$
1
0
0
0
1
06 Symbols
1
mu (lower case greek letter)
$$$\mu$$$ gives $$\mu$$
1
0
0
0
1
06 Symbols
1
nu (lower case greek letter)
$$$\nu$$$ gives $$\nu$$
1
0
0
0
1
06 Symbols
1
xi (lower case greek letter)
$$$\xi$$$ gives $$\xi$$
1
0
0
0
1
06 Symbols
1
omikron (lower case greek letter)
<p><font color="#ff0000">$$$o$$$</font> gives $$o$$ </p><p><em>(note this exceptional syntax!)</em></p>
1
0
0
0
1
06 Symbols
1
pi (lower case greek letter)
$$$\pi$$$ gives $$\pi$$
1
0
0
0
1
06 Symbols
1
varpi (special lower case greek letter)
$$$\varpi$$$ gives $$\varpi$$
1
0
0
0
1
06 Symbols
1
rho (lower case greek letter)
$$$\rho$$$ gives $$\rho$$
1
0
0
0
1
06 Symbols
1
varrho (special lower case greek letter)
$$$\varrho$$$ gives $$\varrho$$
1
0
0
0
1
06 Symbols
1
sigma (lower case greek letter)
$$$\sigma$$$ gives $$\sigma$$
1
0
0
0
1
06 Symbols
1
varsigma (special lower greek letter)
$$$\varsigma$$$ gives $$\varsigma$$
1
0
0
0
1
06 Symbols
1
tau (lower case greek letter)
$$$\tau$$$ gives $$\tau$$
1
0
0
0
1
06 Symbols
1
upsilon (lower case greek letter)
$$$\upsilon$$$ gives $$\upsilon$$
1
0
0
0
1
06 Symbols
1
phi (lower case greek letter)
$$$\phi$$$ gives $$\phi$$
1
0
0
0
1
06 Symbols
1
varphi (special lower case greek letter)
$$$\varphi$$$ gives $$\varphi$$
1
0
0
0
1
06 Symbols
1
chi (lower case greek letter)
$$$\chi$$$ gives $$\chi$$
1
0
0
0
1
06 Symbols
1
psi (lower case greek letter)
$$$\psi$$$ gives $$\psi$$
1
0
0
0
1
06 Symbols
1
omega (lower case greek letter)
$$$\omega$$$ gives $$\omega$$
1
0
0
0
1
06 Symbols
1
Gamma (upper case greek letter)
$$$\Gamma$$$ gives $$\Gamma$$
1
0
0
0
1
06 Symbols
1
Delta (upper case greek letter)
$$$\Delta$$$ gives $$\Delta$$
1
0
0
0
1
06 Symbols
1
Theta (upper case greek letter)
$$$\Theta$$$ gives $$\Theta$$
1
0
0
0
1
06 Symbols
1
Lambda (upper case greek letter)
$$$\Lambda$$$ gives $$\Lambda$$
1
0
0
0
1
06 Symbols
1
Xi (upper case greek letter)
$$$\Xi$$$ gives $$\Xi$$
1
0
0
0
1
06 Symbols
1
Pi (upper case greek letter)
$$$\Pi$$$ gives $$\Pi$$
1
0
0
0
1
06 Symbols
1
Sigma (upper case greek letter)
$$$\Sigma$$$ gives $$\Sigma$$
1
0
0
0
1
06 Symbols
1
Upsilon (upper case greek letter)
$$$\Upsilon$$$ gives $$\Upsilon$$
1
0
0
0
1
06 Symbols
1
Phi (upper case greek letter)
$$$\Phi$$$ gives $$\Phi$$
1
0
0
0
1
06 Symbols
1
Psi (upper case greek letter)
$$$\Psi$$$ gives $$\Psi$$
1
0
0
0
1
06 Symbols
1
Omega (upper case greek letter)
$$$\Omega$$$ gives $$\Omega$$
1
0
0
0
1
06 Symbols
1
plus minus
$$$a\pm~b$$$ gives $$a\pm~b$$
1
0
0
0
1
06 Symbols
1
minus plus
$$$\mp~a$$$ gives $$\mp~a$$
1
0
0
0
1
06 Symbols
1
times
$$$a\times~b$$$ gives $$a\times~b$$
1
0
0
0
1
06 Symbols
1
div (division)
$$$x\div~y$$$ gives $$x\div~y$$
1
0
0
0
1
06 Symbols
1
cdot (multiplication)
$$$a\cdot~b$$$ gives $$a\cdot~b$$
1
0
0
0
1
06 Symbols
1
multiplication (with cdot)
$$$a\cdot~b$$$ gives $$a\cdot~b$$
1
0
0
0
1
cdot
02 Arithmetic expressions, sub-/superscripts, roots
1