User:Hirmuolio Pine/sandbox3

Extra reading: www.tug.org/TUGboat/Articles/tb18-1/tb54becc.pdf

Useful Failed to parse (unknown function "\LaTeX"): {\displaystyle \LaTeX} knowledge

• Spaces do not do anything. Use plenty of them to make the commands easy to read
  • This here has 17 spaces in it (visible only in editor): <math> a = b + c </math> $a=b+c$

• \text{} makes spaces visible and text into roman.
  • <math> \text{This is like normal text} = This is math text </math> $\text{This is like normal text}=Thisismathtext$
  • \mathrm is similar but does not remove spaces. <math> \mathrm{arc sinh} </math> $\mathrm{a}\mathrm{r}\mathrm{c}\mathrm{s}\mathrm{i}\mathrm{n}\mathrm{h}$

• \rm will make the whole thing to be in roman instead of italic. Spaces will still be removed.
  • <math> \rm Velocity = S p e e d </math> $\mathrm{V}\mathrm{e}\mathrm{l}\mathrm{o}\mathrm{c}\mathrm{i}\mathrm{t}\mathrm{y}\mathrm{=}\mathrm{S}\mathrm{p}\mathrm{e}\mathrm{e}\mathrm{d}$
  • {} can be used to limit its scope. <math> { \rm Roman } = Italic</math> $\mathrm{R}\mathrm{o}\mathrm{m}\mathrm{a}\mathrm{n}=Italic$

• "\ " adds single space.
  • <math> abb \ b\ b\ b </math> $$\begin{gathered} abb \\ b \\ b \\ b \end{gathered}$$

• "\," adds single thin space
  • <math> abb \,b\,b\,b </math> $abbbbb$

• \displaystyle makes tall equations bigger and more beautiful. Will apply on things like sums and fractions.
  • <math> a= \frac{b}{c} + \sum_{k=1}^n a_k b_k </math> $a=\frac{b}{c}+\sum _{k=1}^n{a}_k{b}_k$
  • <math> \displaystyle a= \frac{b}{c} + \sum_{k=1}^n a_k b_k </math> $a=\frac{b}{c}+\sum _{k=1}^n{a}_k{b}_k$

• \large, \Large and \LARGE make text bigger. Like with \rm use {} to limit their scope. These help with things nested in exponents as exponent makes things smaller.
  • <math> a^{\Large \frac{b}{c} } </math> Failed to parse (unknown function "\Large"): {\displaystyle a^{\Large \frac{b}{c} } } . Compare to $a^{\frac{b}{c}}$

• Long equations can be split to multiple separate <math> lines. It will look the same as if it was written in one go.
  • <math> a+a+a+a+a+a+a+a+a+a+a++a+a+a+a+b+b+b+b+b+b++b+b+b+b+b++b+b+b+b+b </math> $a+a+a+a+a+a+a+a+a+a+a++a+a+a+a+b+b+b+b+b+b++b+b+b+b+b++b+b+b+b+b$
  • <math> a+a+a+a+a+a+a+a+a+a+a++a+a+a+a </math>
    <math> +b+b+b+b+b+b++b+b+b+b+b++b+b+b+b+b </math> $a+a+a+a+a+a+a+a+a+a+a++a+a+a+a$$+b+b+b+b+b+b++b+b+b+b+b++b+b+b+b+b$

Style

• Variables and letters that represent values should be in italic.
• Text should be in roman. Text variables are not exactly proper thing to do but they are fine in our wiki.
• Constant should be in roman. But this is often broken on things like $e$ and $\pi$.
  • Constants that are not exactly constant are in italic. For example charge of electron is "constant" but the measured value can change and is therefore in italic $e$.
• Multiletter variables are bad idea and should be avoided. If they are more like words (for example acronyms) use roman, otherwise use italic.
• Sub and superscripts that represent quantities should be italic. Otherwise they should be roman. For example $V_{\mathrm{m}\mathrm{a}\mathrm{x}}$ (max is roman) but $V_{n+1}$ (n is italic)
• Mathematical operators and special functions are in roman. Usually this happens automatically. For example $\sin \alpha$ (<math> \sin\alpha </math>). But some operators will require manually setting. For example $\frac{\mathrm{d}x}{\mathrm{d}t}$ (<math> \frac{ \mathrm{d} x }{ \mathrm{d} t} </math>) and $\mathrm{a}\mathrm{r}\mathrm{c}\mathrm{s}\mathrm{i}\mathrm{n}\mathrm{h}\alpha$ (<math> \mathrm{arcsinh}\,\alpha </math>).
• Single lette functions you define are italic. $f(x)$
• But multi letter named functions are in roman. $\mathrm{f}\mathrm{u}\mathrm{n}\mathrm{c}(x)$
• Units are in roman and separated from numbers by a space. $$\begin{gathered} h=\frac{E}{m\times 9.81 \\ \mathrm{m}/{\mathrm{s}}^{\mathrm{2}}} \end{gathered}$$ (<math> h = \frac{ E }{ m \times 9.81 \ {\rm m/s^2} } </math>)
• Do not use "*" symbol for multiplication. Use \times insted. $3\times 2=6$