| 1 | ## Math Notation
|
| 2 |
|
| 3 | By using MathJax, we can display all sorts of notation.
|
| 4 |
|
| 5 | We can do inline math: $E = mc^2$
|
| 6 |
|
| 7 | Or we can do block math:
|
| 8 |
|
| 9 | $$
|
| 10 | A \longrightarrow B
|
| 11 | $$
|
| 12 |
|
| 13 | $$
|
| 14 | \begin{array}{c|lcr}
|
| 15 | n & \text{Left} & \text{Center} & \text{Right} \\
|
| 16 | \hline
|
| 17 | 1 & 0.24 & 1 & 125 \\
|
| 18 | 2 & -1 & 189 & -8 \\
|
| 19 | 3 & -20 & 2000 & 1+10i
|
| 20 | \end{array}
|
| 21 | $$
|
| 22 |
|
| 23 | And even diagrams via *xyjax*:
|
| 24 |
|
| 25 | $$
|
| 26 | \begin{xy}
|
| 27 | 0;<1em,0em>:
|
| 28 | (1,1);p+/v a(18) 5.5em/**@{-},
|
| 29 | (1,3);p+/v a(18) 5.5em/**@2{-},
|
| 30 | (1,5);p+/v a(18) 5.5em/**@3{-},
|
| 31 | (1,9);p+/v a(18) 5.5em/**@{.},
|
| 32 | (1,11);p+/v a(18) 5.5em/**@2{.},
|
| 33 | (1,13);p+/v a(18) 5.5em/**@3{..},
|
| 34 | \end{xy}
|
| 35 | $$
|
| 36 |
|
| 37 |
|
| 38 |
|
| 39 | $$
|
| 40 | \begin{xy}
|
| 41 | \xymatrix {
|
| 42 | U \ar@/_/[ddr]_y \ar@{.>}[dr]|{\langle x,y \rangle} \ar@/^/[drr]^x \\
|
| 43 | & X \times_Z Y \ar[d]^q \ar[r]_p & X \ar[d]_f \\
|
| 44 | & Y \ar[r]^g & Z
|
| 45 | }
|
| 46 | \end{xy}
|
| 47 | $$
|
| 48 |
|
| 49 | #### MathJax $\LaTeX$ vs AsciiMath Syntax
|
| 50 |
|
| 51 | Recently, I learned that MathJax had an alternative syntax, [AsciiMath](http://asciimath.org) that is simpler for many purposes. Smartdown has enabled this feature, although we are currently using `@` as the delimiter instead of \` or `$`.
|
| 52 |
|
| 53 |
|
| 54 | ##### $\LaTeX$ Syntax
|
| 55 |
|
| 56 | Currently, Smartdown uses LaTeX-style math syntax, so the following formula:
|
| 57 |
|
| 58 | $$
|
| 59 | \sum_{i=1}^{n} i^3=\left(\frac{n(n+1)}{2}\right)^2
|
| 60 | $$
|
| 61 |
|
| 62 | is expressed as:
|
| 63 |
|
| 64 | ```
|
| 65 | $$
|
| 66 | \sum_{i=1}^{n} i^3=\left(\frac{n(n+1)}{2}\right)^2
|
| 67 | $$
|
| 68 | ```
|
| 69 |
|
| 70 | ##### AsciiMath Syntax
|
| 71 |
|
| 72 | The above formula is expressed in AsciiMath (using `@` as delimiters) as:
|
| 73 |
|
| 74 | ```
|
| 75 | @sum_(i=1)^n i^3=((n(n+1))/2)^2@
|
| 76 | ```
|
| 77 |
|
| 78 | which Smartdown now renders as:
|
| 79 |
|
| 80 | @sum_(i=1)^n i^3=((n(n+1))/2)^2@
|
| 81 |
|
| 82 | Note that AsciiMath via MathJax does not support *display-mode* equations, but centering can be achieved via Markdown table syntax:
|
| 83 |
|
| 84 | ||
|
| 85 | |:---:|
|
| 86 | |@sum_(i=1)^n i^3=((n(n+1))/2)^2@|
|
| 87 |
|
| 88 |
|
| 89 | ##### More AsciiMath Examples
|
| 90 |
|
| 91 | |AsciiMath|Rendered|
|
| 92 | |:---:|:---:|
|
| 93 | |`@[[a,b],[c,d]]@`|@[[a,b],[c,d]]@|
|
| 94 | |`@sqrt sqrt root3x@`|@sqrt sqrt root3x@|
|
| 95 | |`@int_0^1 f(x)dx@`|@int_0^1 f(x)dx@|
|
| 96 | |`@hat(ab) bar(xy) ulA vec v dotx ddot y@`|@hat(ab) bar(xy) ulA vec v dotx ddot y@|
|
| 97 |
|
| 98 | ---
|
| 99 |
|
| 100 |
|
| 101 | #### Chemistry via `mhchem`
|
| 102 |
|
| 103 | $$
|
| 104 | \ce{Zn^2+
|
| 105 | <=>[+ 2OH-][+ 2H+]
|
| 106 | $\underset{\text{amphoteres Hydroxid}}{\ce{Zn(OH)2 v}}$
|
| 107 | <=>[+ 2OH-][+ 2H+]
|
| 108 | $\underset{\text{Hydroxozikat}}{\ce{[Zn(OH)4]^2-}}$
|
| 109 | }
|
| 110 | $$
|
| 111 |
|
| 112 | ---
|
| 113 |
|
| 114 | [Back to Home](:@Home)
|
| 115 |
|