[Tex/LaTex] Copy-and-Paste List of Popular Math Formulas

math-mode

I prepare lessons for my students in printed form as well as on a WordPress blog. All my prep is done in a simple text editor in Markdown, and I have generally avoided putting in math formulas and instead just relied on the dry erase marker in class, or directing the students to a certain formula sheet that comes with their books. I get by, but a colleague of mine recently tipped me off to LaTex/Tex when I was telling him about Markdown.

I've been able to install MathJax in wordpress, and I have a Multimarkdown preview app (Marked) that also connects to MathJax, so I've been able to get a couple of test posts up.

I'd love to just have a plain text file that I could copy and paste from that has popular formulas for an intro stats class (standard deviation, confidence interval, mean, etc.). I'd also just love a bunch of practice problems I could copy the original LaTeX code and paste right into my text editor.

I guess I'm looking for a math textbook in its original LaTeX code, or a resource for math teachers designed for copy and pasting.

Does such a resource exist?

Best Answer

Math equations in Wikipedia articles are written in LaTeX. Wikipedia is easy to search and likely has all of the equations for an intro stats class.

For example, if you want the equation for sample standard deviation you could navigate to the relevant Wikipedia article (here), go down to the section that has the relevant equation, then click on "edit" to see the LaTeX code for the equation. For this example, the equation for sample standard deviation is given as s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2}.

With all of these steps, it would probably be faster to just write the LaTeX equations by hand; this depends of course on the specific equation.

Related Solutions

[Tex/LaTex] import/(copy in) math from Pdf

While with plain text there are rather few ways of expressing it, mathemathics writing is much more varied (in many cases more two dimensional than linear). Some crude approximation of text can be extracted from a PDF, but even if something like that could be made for your typical formula with subscripts, fractions and strange symbols, it will at best be very crude and require a lot of hand editing. Probably more work than just retyping the whole. If the PDF really is an image (not commands to place characters on the page, what PDF is really about) it is even more hopeless.

[Tex/LaTex] auto-resizing parenthesis in math formulas

No Warranty nor Liability for any purpose.

\documentclass{article}
% \usepackage{amsmath} % for testing
\newcommand*\autoop{\left(}
\newcommand*\autocp{\right)}
\newcommand*\autoob{\left[}
\newcommand*\autocb{\right]}
\AtBeginDocument {%
   \mathcode`( 32768
   \mathcode`) 32768
   \mathcode`[ 32768
   \mathcode`] 32768
   \begingroup
       \lccode`\~`(
       \lowercase{%
   \endgroup
       \let~\autoop
   }\begingroup
       \lccode`\~`)
       \lowercase{%
   \endgroup
       \let~\autocp
   }\begingroup
       \lccode`\~`[
       \lowercase{%
   \endgroup
       \let~\autoob
   }\begingroup
       \lccode`\~`]
       \lowercase{%
   \endgroup
       \let~\autocb
   }}

\delimiterfactor 1001

\makeatletter
% for amsmath "compatibility" (not sophisticated)
% \usepackage{amsmath}
\AtBeginDocument {%
          \def\resetMathstrut@{%
           \setbox\z@\hbox{\the\textfont\symoperators\char40}%
           \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@}%
}%
\makeatother

\begin{document}

\[ [X+(u*[a  * (b+c)])]*Y \]

\end{document}

produces (external frame added):

updated (Nov. 2018) for curly braces

as requested per comment:

\documentclass{article}
\newcommand*\autoop{\left(}
\newcommand*\autocp{\right)}
\newcommand*\autoob{\left[}
\newcommand*\autocb{\right]}
\DeclareRobustCommand*\{{\ifmmode \left\lbrace \else \textbraceleft \fi }
\DeclareRobustCommand*\}{\ifmmode \right\rbrace \else \textbraceright \fi }
\AtBeginDocument {%
   \mathcode`( 32768
   \mathcode`) 32768
   \mathcode`[ 32768
   \mathcode`] 32768
   \begingroup
       \lccode`\~`(
       \lowercase{%
   \endgroup
       \let~\autoop
   }\begingroup
       \lccode`\~`)
       \lowercase{%
   \endgroup
       \let~\autocp
   }\begingroup
       \lccode`\~`[
       \lowercase{%
   \endgroup
       \let~\autoob
   }\begingroup
       \lccode`\~`]
       \lowercase{%
   \endgroup
       \let~\autocb
   }}

\delimiterfactor 1001

\makeatletter
% for amsmath "compatibility" (not sophisticated)
% \usepackage{amsmath}
\AtBeginDocument {%
          \def\resetMathstrut@{%
           \setbox\z@\hbox{\the\textfont\symoperators\char40}%
           \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@}%
}%
\makeatother

\begin{document}

\[ \{[X+(\{u*[a  * (\{b+c\})]\})]\}*Y \]

\end{document}

second request for \| but I think it would be better to use mathtools declarations and input syntax for this.

Here, no nesting of \| and they must be used in pairs.

\documentclass{article}
\makeatletter
% for amsmath "compatibility" (not sophisticated)
\usepackage{amsmath}
\AtBeginDocument {%
          \def\resetMathstrut@{%
           \setbox\z@\hbox{\the\textfont\symoperators\char40}%
           \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@}%
}%
\makeatother
\newcommand*\autoop{\left(}
\newcommand*\autocp{\right)}
\newcommand*\autoob{\left[}
\newcommand*\autocb{\right]}
\DeclareRobustCommand*\{{\ifmmode \left\lbrace \else \textbraceleft \fi }
\DeclareRobustCommand*\}{\ifmmode \right\rbrace \else \textbraceright \fi }

\AtBeginDocument {%
   \let\originalbardelimiter\|
   \def\myleftbar{\global\let\|\myrightbar\left\originalbardelimiter}%
   \def\myrightbar{\global\let\|\myleftbar\right\originalbardelimiter}%
   \let\|\myleftbar
   \mathcode`( 32768
   \mathcode`) 32768
   \mathcode`[ 32768
   \mathcode`] 32768
   \begingroup
       \lccode`\~`(
       \lowercase{%
   \endgroup
       \let~\autoop
   }\begingroup
       \lccode`\~`)
       \lowercase{%
   \endgroup
       \let~\autocp
   }\begingroup
       \lccode`\~`[
       \lowercase{%
   \endgroup
       \let~\autoob
   }\begingroup
       \lccode`\~`]
       \lowercase{%
   \endgroup
       \let~\autocb
   }}

\delimiterfactor 1001


\begin{document}

\[ \{[X+(\{\|u\|*\| [ a * (\{b+c\})] \|\} )] \}*\|Y\| \]

\end{document}

Finally, (but this is becoming hacky), a trick to allow nesting \| one-level deep. Might be enough for use case in Banach space theory (I hear this is some 20th century old-fashioned math, that long time ago, so that might be enough for elementary human thinking pre-dating AI)(*)

(*) should I explain I don't believe anything about what the highly paid software industry is throwing at us about what AI will be soon?

\documentclass{article}
\makeatletter
% for amsmath "compatibility" (not sophisticated)
\usepackage{amsmath}
\AtBeginDocument {%
          \def\resetMathstrut@{%
           \setbox\z@\hbox{\the\textfont\symoperators\char40}%
           \ht\Mathstrutbox@\ht\z@ \dp\Mathstrutbox@\dp\z@}%
}%
\makeatother
\newcommand*\autoop{\left(}
\newcommand*\autocp{\right)}
\newcommand*\autoob{\left[}
\newcommand*\autocb{\right]}
\DeclareRobustCommand*\{{\ifmmode \left\lbrace \else \textbraceleft \fi }
\DeclareRobustCommand*\}{\ifmmode \right\rbrace \else \textbraceright \fi }

\newif\ifinsidebracedgroup
\AtBeginDocument {%
   \let\originalbardelimiter\|
   \def\myleftbar{\ifinsidebracedgroup
                        \right\originalbardelimiter
                        \global\insidebracedgroupfalse
                  \else
                        \left\originalbardelimiter
                  \fi
                  \global\let\|\myrightbar}%
   \def\myrightbar{\ifnum\currentgrouptype=9
                        \left\originalbardelimiter
                        \global\insidebracedgrouptrue
                  \else
                        \right\originalbardelimiter
                  \fi
                 \global\let\|\myleftbar}%
   \let\|\myleftbar
   \mathcode`( 32768
   \mathcode`) 32768
   \mathcode`[ 32768
   \mathcode`] 32768
   \begingroup
       \lccode`\~`(
       \lowercase{%
   \endgroup
       \let~\autoop
   }\begingroup
       \lccode`\~`)
       \lowercase{%
   \endgroup
       \let~\autocp
   }\begingroup
       \lccode`\~`[
       \lowercase{%
   \endgroup
       \let~\autoob
   }\begingroup
       \lccode`\~`]
       \lowercase{%
   \endgroup
       \let~\autocb
   }}

\delimiterfactor 1001


\begin{document}

\[ \{[X+(\{\|u\|*\| [ a * (\{{\|b+c\|}\})] \|\} )] \}*\|Y\| \]

\[ \| (X - {\|X\|} e)\|^2 + \| (X + {\|X\|} e)\|^2 = 4\|(X)\|^2 \]

\end{document}

Best Answer

Related Solutions

[Tex/LaTex] import/(copy in) math from Pdf

[Tex/LaTex] auto-resizing parenthesis in math formulas

updated (Nov. 2018) for curly braces

Related Question