dollar_math.md

single dollar . $ .

$

.

double-dollar . $$ .

$$

.

single character inline equation. (valid=True) . $a$ .

a

.

inline equation with single greek character (valid=True) . $\varphi$ .

\\varphi

.

simple equation starting and ending with numbers. (valid=True) . $1+1=2$ .

1+1=2

.

simple equation including special html character. (valid=True) . $1+1<3$ .

1+1<3

.

equation including backslashes. (valid=True) . $a \backslash$ .

a \\backslash

.

use of currency symbol, i.e. digits before/after opening/closing (valid=True) . 3$1+2$ $1+2$3 .

3$1+2$ $1+2$3

.

use of currency symbol (valid=True) . If you solve $1+2$ you get $3 .

If you solve 1+2 you get $3

.

inline fraction (valid=True) . $\frac{1}{2}$ .

\\frac{1}{2}

.

inline column vector (valid=True) . $\begin{pmatrix}x\\y\end{pmatrix}$ .

\\begin{pmatrix}x\\\\y\\end{pmatrix}

.

inline bold vector notation (valid=True) . ${\tilde\bold e}_\alpha$ .

{\\tilde\\bold e}_\\alpha

.

exponentiation (valid=True) . $a^{b}$ .

a^{b}

.

conjugate complex (valid=True) . $a^*b$ with $a^*$ .

a^\*b with a^\*

.

Inline multi-line (valid=True) . a $a \not=1$ b .

a a \not=1 b

.

Inline multi-line with newline (valid=False) . a $a

\not=1$ b .

a $a

\not=1$ b

.

single block equation, greek index (valid=True) . $$e_\alpha$$ .

e_\\alpha

.

display equation on its own single line. (valid=True) . $$1+1=2$$ .

1+1=2

.

display equation with number on its own single line. (valid=True) . $$1+1=2$$ (2) .

¶ 1+1=2

.

inline equation followed by block equation. (valid=True) . ${e}_x$

$$e_\alpha$$ .

{e}_x

e_\\alpha

.

underline tests (valid=True) . $$c{\bold e}x = a{\bold e}\alpha - b\tilde{\bold e}_\alpha$$ .

c{\\bold e}_x = a{\\bold e}_\\alpha - b\\tilde{\\bold e}_\\alpha

.

non-numeric character before opening $ or after closing $ or both is allowed. (valid=True) . a$1+1=2$ $1+1=2$b c$x$d .

a1+1=2 1+1=2b cxd

.

following dollar character '$' is allowed. (valid=True) . $x$ $ .

x $

.

consecutive inline equations. (valid=True) . $x$ $y$ .

x y

.

inline equation after '-' sign in text. (valid=True) . so-what is $x$ .

so-what is x

.

display equation with line breaks. (valid=True) . $$ 1+1=2 $$ .

1+1=2

.

multiple equations (valid=True) . $$ a = 1 $$

$$ b = 2 $$ .

a = 1

b = 2

.

display equation with blank lines. (valid=False) . $$ 1+1=2

$$ .

$$ 1+1=2

$$

.

equation followed by a labelled equation (valid=True) . $$ a = 1 $$

$$ b = 2 $$ (1) .

a = 1

¶ b = 2

.

multiline equation. (valid=True) . $$\begin{matrix} f & = & 2 + x + 3 \ & = & 5 + x \end{matrix}$$ .

\\begin{matrix} f & = & 2 + x + 3 \\ & = & 5 + x \\end{matrix}

.

vector equation. (valid=True) . $$\begin{pmatrix}x_2 \\ y_2 \end{pmatrix} = \begin{pmatrix} A & B \\ C & D \end{pmatrix}\cdot \begin{pmatrix} x_1 \\ y_1 \end{pmatrix}$$ .

\\begin{pmatrix}x_2 \\\\ y_2 \\end{pmatrix} = \\begin{pmatrix} A & B \\\\ C & D \\end{pmatrix}\\cdot \\begin{pmatrix} x_1 \\\\ y_1 \\end{pmatrix}

.

display equation with equation number. (valid=True) . $$f(x) = x^2 - 1$$ (1) .

¶ f(x) = x^2 - 1

.

inline equation following code section. (valid=True) . code$a-b$ .

codea-b

.

equation following code block. (valid=True) .

code

$$a+b$$ .

code

a+b

.

numbered equation following code block. (valid=True) .

code

$$a+b$$(1) .

code

¶ a+b

.

Equations in list. (valid=True) .

1. $1+2$
2. $2+3$
   1. $3+4$ .

1. 1+2
2. 2+3
   1. 3+4

.

Inline sum. (valid=True) . $\sum_{i=1}^n$ .

\\sum\_{i=1}^n

.

Sum without equation number. (valid=True) . $$\sum_{i=1}^n$$ .

\\sum\_{i=1}^n

.

Sum with equation number. (valid=True) . $$\sum_{i=1}^n$$ (2) .

¶ \\sum\_{i=1}\^n

.

equation number always vertically aligned. (valid=True) . $${\bold e}(\varphi) = \begin{pmatrix} \cos\varphi\\\sin\varphi \end{pmatrix}$$ (3) .

¶ {\\bold e}(\\varphi) = \\begin{pmatrix} \\cos\\varphi\\\\\\sin\\varphi \\end{pmatrix}

.

inline equations in blockquote. (valid=True) .

see $a = b + c$ $c^2=a^2+b^2$ (2) $c^2=a^2+b^2$ .

see a = b + c c^2=a^2+b^2 (2) c^2=a^2+b^2

.

display equation in blockquote. (valid=True) .

formula

$$ a+b=c$$ (2)

in blockquote. .

formula

¶ a+b=c

in blockquote.

.

mixed syntax: . $$ a=1 \ b=2 $$ (abc)

• ab $c=1$ d .

¶ a=1 \\ b=2

• ab c=1 d

.

escaped dollars '\$' are interpreted as dollar '$' characters. (valid=True) . \$1+1=2$ $1+1=2\$ .

\1+1=2 1+1=2\\

.

empty line between text and display formula is required. (valid=False) . some text $\$a+b=c$$ .

some text $\$a+b=c$$

.

whitespace character after opening $ or before closing $ is not allowed. (valid=False) . $ $ $ x$ $x $ .

$ $ $ x$ $x $

.

new line in blockquote block (valid=False): .

$$ a+b\n=c$$ .

$$ a+b\n=c$$

.

math-escaping: escaped start $: . $p_2 = $a .

$p_2 = $a

.

math-escaping: escaped end $: . $p_2 = $a .

$p_2 = $a

.

math-escaping: internal escaped $: . $p_2 = $1$ .

p_2 = \$1

.

math-escaping: double-escaped start $: . \$p_2 = 1$ .

\p_2 = 1

.

math-escaping: double-escaped end $: . $p_2 = \$a .

p_2 = \\a

.

Inline double-dollar start: . $$a=1$$ b .

a=1

b

.

Inline double-dollar end: . a $$a=1$$ .

a

a=1

.

Inline double-dollar enclosed: . a $$a=1$$ (1) b .

a

a=1

(1) b

.

Inline double-dollar, escaped: . a $$a=1$$ b .

a $a=1$ b

.

Inline mixed single/double dollars: . Hence, for $\alpha \in (0, 1)$, $$ \mathbb P (\alpha \bar{X} \ge \mu) \le \alpha; $$ i.e., $[\alpha \bar{X}, \infty)$ is a lower 1-sided $1-\alpha$ confidence bound for $\mu$. .

Hence, for \alpha \in (0, 1),

\mathbb P (\alpha \bar{X} \ge \mu) \le \alpha;

i.e., [\alpha \bar{X}, \infty) is a lower 1-sided 1-\alpha confidence bound for \mu.

.

display equation with label containing whitespace. (valid=True) . $$1+1=2$$ (a b) .

¶ 1+1=2

.

Indented by 4 spaces . $$a$$ .

$$a$$

.

Indented by 4 spaces, DISABLE-CODEBLOCKS . $$a$$ .

a

.