Help:Math

From Shiakarn

(Difference between revisions)

Revision as of 16:27, 14 June 2006

Taken from here

You can add math formulas to your page using <m></m> tags.

Keep in mind that the syntax is different from LaTeX, but is pretty easy to figure out. Feel free to try some out in the Sandbox

Syntax

Usual Commands

x+y : <m>x+y </m>
x-y : <m>x-y </m>
x*y : <m>x*y </m>
x/y : <m>x/y </m>
x^y : <m>x^y </m>
x_y : <m>x_y </m>
x<>y : <m>x<>y </m>
x>y : <m>x>y </m>
x>=y : <m>x>=y </m>
x<y : <m>x<y </m>
x<=y : <m>x<=y </m>

Parenthesis

visible : (x)<m>visible (x)</m>
invisible : {x}<m>invisible {x}</m>

Math space

a~b : <m>a~b </m>

Greek letters

alpha : <m>alpha </m>
beta : <m>beta </m>
gamma : <m>gamma </m>
delta : <m>delta </m>
epsilon : <m>epsilon </m>
varepsilon : <m>varepsilon </m>
zeta : <m>zeta </m>
eta : <m>eta </m>
theta : <m>theta </m>
vartheta : <m>vartheta </m>
iota : <m>iota </m>
kappa : <m>kappa </m>
lambda : <m>lambda </m>
mu : <m>mu </m>
nu : <m>nu </m>
xi : <m>xi </m>
pi : <m>pi </m>
varpi : <m>varpi </m>
rho : <m>rho </m>
varrho : <m>varrho </m>
sigma : <m>sigma </m>
varsigma : <m>varsigma </m>
tau : <m>tau </m>
upsilon : <m>upsilon </m>
phi : <m>phi </m>
varphi : <m>varphi </m>
chi : <m>chi </m>
psi : <m>psi </m>
omega : <m>omega </m>
Gamma : <m>Gamma </m>
Lambda : <m>Lambda </m>
Sigma : <m>Sigma </m>
Psi : <m>Psi </m>
Delta : <m>Delta </m>
Xi : <m>Xi </m>
Upsilon : <m>Upsilon </m>
Omega : <m>Omega </m>
Theta : <m>Theta </m>
Pi : <m>Pi </m>
Phi : <m>Phi </m>

Symbols

infty : <m>infty </m>
in : <m>in </m>
notin : <m>notin </m>
forall : <m>forall </m>
exists : <m>exists </m>
notexists : <m>notexists </m>
partial : <m>partial </m>
approx : <m>approx </m>
pm : <m>pm </m>
inter : <m>inter </m>
union : <m>union </m>
ortho : <m>ortho </m>
parallel : <m>parallel </m>
backslash : <m>backslash </m>
prime : <m>prime </m>
wedge : <m>wedge </m>
vert : <m>vert </m>
lbrace : <m>lbrace</m>
rbrace : <m>rbrace</m>
circ : <m>circ </m>
varnothing : <m>varnothing </m>
subset : <m>subset </m>
notsubset : <m>notsubset </m>
cdots : <m>cdots </m>
vdots : <m>vdots </m>
ddots : <m>ddots </m>

Arrows

left : <m>left </m>
right : <m>right </m>
leftright : <m>leftright </m>
doubleleft : <m>doubleleft </m>
doubleright : <m>doubleright </m>
doubleleftright : <m>doubleleftright </m>
nearrow : <m>nearrow </m>
searrow : <m>searrow </m>

Sets

bbR : <m>bbR </m>
bbN : <m>bbN </m>
bbZ : <m>bbZ </m>
bbC : <m>bbC </m>

Roots

sqrt{a} : <m>sqrt{a} </m>
root{n}{a} : <m>root{n}{a} </m>

Limits

lim{a}{x} : <m>lim{a}{x} </m>

Big operators

int{a}{b}{x} : <m>int{a}{b}{x} </m>
doubleint{a}{b}{x} : <m>doubleint{a}{b}{x} </m>
tripleint{a}{b}{x} : <m>tripleint{a}{b}{x} </m>
oint{a}{b}{x} : <m>oint{a}{b}{x} </m>
sum{a}{b}{x} : <m>sum{a}{b}{x} </m>
prod{a}{b}{x} : <m>prod{a}{b}{x} </m>
bigcup{a}{b}{x} : <m>bigcup{a}{b}{x} </m>
bigcap{a}{b}{x} : <m>bigcap{a}{b}{x} </m>

Delimiters

delim{[}{x}{]} : <m>delim{[}{x}{]} </m>
delim{]}{x}{]} : <m>delim{]}{x}{]} </m>
delim{[}{x}{[} : <m>delim{[}{x}{[} </m>
delim{]}{x}{[} : <m>delim{]}{x}{[} </m>
delim{lbrace}{x}{rbrace} : <m>delim{lbrace}{x}{rbrace} </m>
delim{|}{x}{|} : <m>delim{|}{x}{|} </m>
delim{vert}{x}{vert} : <m>delim{vert}{x}{vert} </m>

Matrix

matrix{num of lines}{num of columns}{first_element ... last_element}

Example

matrix{2}{3}{a b c d e f g} : <m>matrix{2}{3}{a b c d e f g} </m>

Tabular

Tabular tabular{lines description}{columns description}{first_element ... last_element}
lines description : sequence of 1 (draw the horizontal line) or 0 (don't draw the horizontal line) - the length of the sequence=num of lines+1
columns description : sequence of 1 (draw the vertical line) or 0 (don't draw the vertical line) - the length of the sequence=num of columns+1

Examples

tabular{111}{1111}{a b c d e f g} : <m>tabular{111}{1111}{a b c d e f g} </m>

tabular{1001}{101}{1 2 3 4 5 6} : <m>tabular{1001}{101}{1 2 3 4 5 6}</m>

Constructions

vec{express} : <m>vec{express}</m>
{express}under{foo} : <m>{express}under{foo</m>
{express}over{foo} : <m>{express}over{foo}</m>
overline{express} : <m>overline{express}</m>
underline{express} : <m>underline{express}</m>
hat{express} : <m>hat{express}</m>

Usage Examples

delim{|}{{1/N} sum{n=1}{N}{gamma(u_n)} - 1/{2 pi} int{0}{2 pi}{gamma(t) dt}}{|} <= varepsilon/3:<m>delim{|}{{1/N} sum{n=1}{N}{gamma(u_n)} - 1/{2 pi} int{0}{2 pi}{gamma(t) dt}}{|} <= varepsilon/3</m>

About pi

pi=sum{n=0}{+infty}{{(n!)^2 2^{n+1}}/{(2n+1)!} : <m>pi=sum{n=0}{+infty}{{(n!)^2 2^{n+1}}/{(2n+1)!}}</m>
pi=22/7-int{0}{1}{{x^4 (1-x)^4}/{1+x^2}dx} : <m>pi=22/7-int{0}{1}{{x^4 (1-x)^4}/{1+x^2}dx}</m>
pi=3/4 sqrt{3}+24 int{0}{1/4}{sqrt{x-x^2}dx} : <m>pi=3/4 sqrt{3}+24 int{0}{1/4}{sqrt{x-x^2}dx}</m>
delim{lbrace}{matrix{3}{1}{{3x-5y+z=0} {sqrt{2}x-7y+8z=0} {x-8y+9z=0}}}{~} : <m>delim{lbrace}{matrix{3}{1}{{3x-5y+z=0} {sqrt{2}x-7y+8z=0} {x-8y+9z=0}}}{~}</m>
delim{|}{matrix{3}{3}{a_{1 1} cdots a_{1 n} vdots ddots vdots a_{n 1} cdots a_{n n}}}{|} : <m>delim{|}{matrix{3}{3}{a_{1 1} cdots a_{1 n} vdots ddots vdots a_{n 1} cdots a_{n n}}}{|}</m>

Revision as of 16:24, 14 June 2006 (view source) Shiakarn (Talk \| contribs) ← Previous diff		Revision as of 16:27, 14 June 2006 (view source) Shiakarn (Talk \| contribs) m Next diff →
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	You can add math formulas to your page using <nowiki><m></m></nowiki> tags.		You can add math formulas to your page using <nowiki><m></m></nowiki> tags.

-	Keep in mind that the syntax is different ~~then~~ LaTeX, but is pretty easy to figure out. Feel free to try some out in the [[Sandbox]]	+	Keep in mind that the syntax is different from LaTeX, but is pretty easy to figure out. Feel free to try some out in the [[Sandbox]]