.. default-role:: mathml
This document tests the use of mathml math to produce latex.
`hat x`
`bar x`
`ul x`
`vec x`
`dot x`
`ddot x`
`uarr`
`darr`
`rarr`
`->`
`|->`
`larr`
`harr`
`rArr`
`lArr`
`hArr`
`a`
`12`
`-4`
`12-4`
`"a"`
`" "`
`d/dxf(x)=lim_(h->0)(f(x+h)-f(x))/h`
`\frac{d}{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}`
`int_0^1f(x)dx`
`int_0^(pi/2) sinx\ dx=1`
`sum_(i=1)^ni^3=((n(n+1))/2)^2`
`int_-1^1 sqrt(1-x^2)dx = pi/2`
`x^2+b/ax+c/a=0`
`x^2+b/ax+(b/(2a))^2-(b/(2a))^2+c/a=0`
`(x+b/(2a))^2=(b^2)/(4a^2)-c/a`
`x+b/(2a)=+-sqrt((b^2)/(4a^2)-c/a)`
`b/(2a)`
`x_(1,2)=(-b+-sqrt(b^2 - 4ac))/(2a)`
`f(x)=sum_(n=0)^oo(f^((n))(a))/(n!)(x-a)^n`
`(a/b)/(c/d)`
`a/b/c/d`
`((a*b))/c`
`sum_(i=1)^n i=(n(n+1))/2`
`(x+1)/y`
`quad|A| = |{:(a,b),(c,d):}| = ad-bc quad`
`{:|A|:}={:|{:(a,b),(c,d):}|:}=ad-bc quad`
`bb A`
`bbb A`
`cc A`
`tt A`
`fr A`
`sf A`
`bb{AB3}.bbb(AB].cc(AB).fr{AB}.tt[AB].sf(AB)`
`sin`
`cos`
`tan`
`csc`
`sec`
`cot`
`sinh`
`cosh`
`tanh`
`log`
`ln`
`det`
`dim`
`lim`
`mod`
`gcd(m,n) = a mod b`
`x -= y (mod a + b)`
`gcd`
`lcm`
`min`
`max`
`alpha`
`beta`
`chi`
`delta`
`Delta`
`epsilon`
`varepsilon`
`eta`
`gamma`
`Gamma`
`iota`
`kappa`
`lambda`
`Lambda`
`mu`
`nu`
`omega`
`Omega`
`phi`
`varphi`
`Phi`
`pi`
`Pi`
`psi`
`Psi`
`rho`
`sigma`
`Sigma`
`tau`
`theta`
`vartheta`
`Theta`
`upsilon`
`xi`
`Xi`
`zeta`
`(`
`)`
`[`
`]`
`{`
`}`
`(:`
`:)`
`{:`
`:}`
`{::}`
`-a`
`E=mc^2`
`e^(ipi)=-1`
`a !<= b !>= c`
`a!=0`
`ax^2+bx+c=0`
`x^2+y_1+z_12^34`
`a//b`
`sqrtsqrtroot3x`
`abc-123.45^-1.1`
`stackrel"def"=`
`\stackrel{\Delta}{=}" "("or ":=)`
`{::}_(\ 92)^238U`
`a_(mn)`
`a_{mn}`
`sqrtx`
`x^2`
`S'`
`\sinh x=\frac{e^x-e^{-x}}{2}`
`f(x)=\sum_{n=0}^\infty\frac{f^{(n)}(a)}{n!}(x-a)^n`
`d/dx\,f(x)`
`and`
`or`
`not`
`=>`
`if`
`iff`
`AA`
`EE`
`_|_`
`TT`
`|--`
`|==`
`((a,b),(c,d))^-1 = 1/(ad-bc)((d,-b),(-c,a))`
`[[a,b],[c,d]]((n),(k))`
`x/x={(1,if x!=0),(text{undefined},if x=0):}`
`(:a,b:) and {:(x,y),(u,v):}`
`{(S_(11),...,S_(1n)),(vdots,ddots,vdots),(S_(m1),...,S_(mn))]`
`newsymbol{"!le"}{"≰" "\not\le"} a !le b`
`newsymbol{"!le"}{"≰"} a !le b`
`newcommand "DDX" "{:d/dx:}" DDXf(x) = f'(x)`
`newcommand "FUNKY" ""`
`newcommand "NAME" bad`
`+`
`-`
`*`
`**`
`//`
`a\\b`
`xx`
`-:`
`@`
`o+`
`ox`
`o.`
`sum`
`prod`
`^^`
`^^^`
`vv`
`vvv`
`nn`
`nnn`
`uu`
`uuu`
`=`
`!=`
`<`
`>`
`<=`
`>=`
`-<`
`>-`
`in`
`notin`
`sub`
`sup`
`sube`
`supe`
`-=`
`~=`
`~~`
`prop`
`y=x^2`
`y=1/x`
`y=sqrt(x)`
`E=mc^(3 + e^(ipi)`
`a^2+b^2=c^2`
`AA x in CC (sin^2x+cos^2x=1)`
`(AA x: x in CC: sin^2x+cos^2x=1)`
`sum_(i=1)^ni^3=(sum_(i=1)^ni^2)^2`
`(a,b)`
`f`
`Delta x=(b-a)/n`
`int_a^b f(x)dx=lim_(n->oo)sum_[i=1]^n f(x_i^(**))Delta x`
`x_i=a+iDeltax`
`x_i^(**)in[x_[i-1],x_i]`
`\int_0^oo e^{-x^2}dx = 1/2\sqrt{pi}.`
`x/x=(1 if x!=0)`
`int_0^pi sinxdx=-cosx]_0^pi=-cospi-(-cos0)=-(-1)-(-1)=2`
`-0.123.456`
`epsilon=.001 quad h=-.01 quad pi~~3.14159 quad`
`u.v`
`RR = uuu_{n=0}^oo[-n,n]`
`{0} = nnn_{n=1}^oo(- 1/n,1/n)`
`^^^_{i=1}^nphi_i = phi_1 ^^ phi_2 ^^ cdots ^^ phi_n`
`vvv_{i=1}^nphi_i = phi_1 vv phi_2 vv cdots vv phi_n`
`pi~~3.141592653589793`
`int_-1^1 sqrt(1-x^2)dx = pi/2`
`lim_(x->a) f(x)=l <=> AA epsi > 0 EE delta > 0 : 0 < {:|x-a|:} < delta => {:|f(x) - l|:} < epsi`
`1/(1+1/(1+...))`
`x := y`
`int vec{A} cdot vec{dl} = int int vec{B} cdot vec{dS}`
`1/(1+1/(1+1/(1+1/(1+...))))=(sqrt5-1)/2`
`[a_0, a_1...a_(n-1)]`
`[d_0, d_1...d_(n-1)]`
`n`
`o`
`o = sum_(i=0)^n(a_i * prod_(j=0)^(i-1)d_j)`
`a = [1,1,1]; n = 3; d = [2,3,2]; o = sum_(i=0)^3(a_i * prod_(j=0)^(i-1)d_j) = (1) + (1 * (2)) + (1 * (2*3)) = 1 + 2 + 6 = 9`
`o = i_0 + d_0[i_1 + d_1[...[i_(n-1)]]]`
`g o f = Id_(e)`
`max`
`sin^-1(x)`
`int`
`oint`
`del`
`grad`
`+-`
`O/`
`oo`
`aleph`
`/_`
`:.`
`...`
`cdots`
`vdots`
`ddots`
`a\ b`
`quad`
`diamond`
`square`
`|__`
`__|`
`|~`
`~|`
`CC`
`NN`
`QQ`
`RR`
`ZZ`