LaTex Coding

Here is one, by GingerAle and Hectictar, that Hectictar just asked me to include.  Thanks Girls :)

This is the original thread but I will includ most of the salient coding underneath.

https://web2.0calc.com/questions/1-84-1-56-8

\(\boxed{3x\stackrel{?}{=}7}\)

\boxed{3x\stackrel{?}{=}7}

---------------------------------

\(\begin{array}{|rcll|} \hline \angle {ABC} &=& 27° \\ \measuredangle{ABC} &=& 27° \\ \stackrel {\; \frown} {ABC} &=& 27° \\ \stackrel { \hspace{.1em} \wedge} {AC} &=& 27° \\ \stackrel {\, \hspace{.1em} \frown} {AC} &=& 27° \\ \hline \end{array}\\\ \overset{\; \frown}{AC} = 27° \\\)

Coding

\begin{array}{|rcll|}

\hline

\angle {ABC} &=& 27° \\

\measuredangle{ABC} &=& 27° \\

\stackrel {\; \frown} {ABC} &=& 27° \\

\stackrel { \hspace{.1em} \wedge} {AC} &=& 27° \\

\stackrel {\, \hspace{.1em}  \frown} {AC} &=& 27° \\

\hline \end{array}\\\

\overset{\; \frown}{AC} = 27° \\

I only just realised that Ginger has not used the \boxed command.

I wonder how she got the vertical side lines on her box??   I'll have to work it out ://

Arr got it, it is a part of the array command. 

Thanks Ginger :)

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Oh Hectictar also mentioned that there is a number of ways to get the degree sign.

These are Hectictars words:

"I have noticed that there are actually two signs that look like degree signs in the "special character" selection. One of them is a masculine ordinal indicator: º  and the other is the degree sign: °  . (If you hover over the symbol it tells the name of it.)

I just use the command   ^\circ     Like this     5^\circ  displays as  \(5^\circ\)

Courtesy of Heureka :)

\(\begin{array}{|rcll|} \hline && \mathbf{(t-1)^3 + 6(t-1)^2 + 12(t-1) + 8 } \\ &=& (t-1)^3 + 3(t-1)^2+3(t-1) +1 \\ && \quad + 3(t-1)^2+9(t-1)+7 \\ &=& t^3 + 3(t-1)^2+9(t-1)+7 \\ &=& t^3 + 3(t^2-2t+1)+9t-9+7 \\ &=& t^3 + 3t^2-6t+3+9t-9+7 \\ &=& t^3 + 3t^2+3t+1 \quad & | \quad (1+t)^3 = t^3+3t^2+3t+1 \\ &\mathbf{=}& \mathbf{(1+t)^3} \\ \hline \end{array}\)

\begin{array}{|rcll|} \hline && \mathbf{(t-1)^3 + 6(t-1)^2 + 12(t-1) + 8 } \\

&=& (t-1)^3 + 3(t-1)^2+3(t-1) +1\\

 && \quad + 3(t-1)^2+9(t-1)+7 \\

&=& t^3 + 3(t-1)^2+9(t-1)+7 \\

&=& t^3 + 3(t^2-2t+1)+9t-9+7 \\

&=& t^3 + 3t^2-6t+3+9t-9+7 \\

&=& t^3 + 3t^2+3t+1 \quad & | \quad (1+t)^3 = t^3+3t^2+3t+1\\

&\mathbf{=}& \mathbf{(1+t)^3} \\

\hline \end{array}

Thank You

Some interesting coding by GingerAle and Heureka:  Thanks to both of you :)

It is from this question:

https://web2.0calc.com/questions/modular-math_8

\(\begin{array}{rcll} n &=& {\color{red}3331} \cdot {\color{green}1247} \cdot \underbrace{ \underbrace{ \underbrace{ \underbrace{ [ {\color{green}1247}^{\varphi({\color{green}231})-1} \pmod {{\color{green}231}} ] }_{=\text{modulo inverse 1247 mod 231} } }_{=1247^{230-1} \mod {231} }}_{=1247^{229} \mod {231}}}_{=113} + {\color{red}1361} \cdot {\color{green}231} \cdot \underbrace{ \underbrace{ \underbrace{ \underbrace{ [ {\color{green}231}^{\varphi({\color{green}1247})-1} \pmod {{\color{green}1247}} ] }_{=\text{modulo inverse 231 mod 1247} } }_{=231^{1246-1} \mod {1247} }}_{=231^{1245} \mod {1247}}}_{=637}\\\\ n &=& {\color{red}3331} \cdot {\color{green}1247} \cdot [ 113] + {\color{red}1361} \cdot {\color{green}231} \cdot [637] \\ n &=& 469374541 + 200267067 \\ n &=& 669641608 \\\\ && n\pmod {m}\\ &=& 669641608 \pmod {288057} \\ &=& 197140 \\\\ n &=& 197140 + k\cdot 288057 \qquad k \in Z\\\\ \mathbf{n_{min}} & \mathbf{=}& \mathbf{197140 } \end{array}\)

CODING:

\begin{array}{rcll} n &=& {\color{red}3331} \cdot {\color{green}1247} \cdot \underbrace{ \underbrace{ \underbrace{ \underbrace{ [ {\color{green}1247}^{\varphi({\color{green}231})-1} \pmod {{\color{green}231}} ] }_{=\text{modulo inverse 1247 mod 231} } }_{=1247^{230-1} \mod {231} }}_{=1247^{229} \mod {231}}}_{=113} + {\color{red}1361} \cdot {\color{green}231} \cdot \underbrace{ \underbrace{ \underbrace{ \underbrace{ [ {\color{green}231}^{\varphi({\color{green}1247})-1} \pmod {{\color{green}1247}} ] }_{=\text{modulo inverse 231 mod 1247} } }_{=231^{1246-1} \mod {1247} }}_{=231^{1245} \mod {1247}}}_{=637}\\\\

n &=& {\color{red}3331} \cdot {\color{green}1247} \cdot [ 113] + {\color{red}1361} \cdot {\color{green}231} \cdot [637] \\

n &=& 469374541 + 200267067 \\ n &=& 669641608 \\\\ && n\pmod {m}\\ &=& 669641608 \pmod {288057} \\

&=& 197140 \\\\

n &=& 197140 + k\cdot 288057 \qquad k \in Z\\\\

\mathbf{n_{min}} & \mathbf{=}& \mathbf{197140 }

\end{array}

You can also visit the Wikibooks article on how to code LaTeX: https://en.wikibooks.org/wiki/LaTeX/Mathematics

Lots more Latex coding ideas by SpaceModo     (Dec2017)

Thanks SpaceModo,

https://web2.0calc.com/questions/latex-formatting-fixed

Here is a cool website:      http://detexify.kirelabs.org/classify.html

If you are trying to find the code for a certain symbol, draw it in the box and it will give you a list of symbols and their codes that look like what you drew!

Also, you can click the "symbols" button to see a list of LaTeX symbols.

Here is a knew one I just saw 

\[ x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}. \]

this is really interestig because I did not go into LaTex to do this.

I just opened it with      \[     

then the code

x^2 + \dfrac{5}{3}x + \boxed{\phantom{000}}.

 and closed it with the close ] command.

I think it would have worked almost as good  If I had opened it with a dollar sign and closed it with a dollar sign 

An earlier Latex coding thread 

https://web2.0calc.com/questions/latex

Piecewise Graphs:

\(f(x) = \begin{cases} k(x) &\text{if }x>3, \\ x^2-6x+12&\text{if }x\leq3. \end{cases} \)

f(x) = (backslash)     begin{cases} k(x) &\text{if }x>3, \\ x^2-6x+12&\text{if }x\leq3. \end{cases}