|
|
Line 1: |
Line 1: |
- | [[Category:Extensions]]
| + | |
- | [[Category:Features]]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 then LaTeX, but is pretty easy to figure out. Feel free to try some out in the [[Sandbox]] |
| | | |
- | | + | To see more : [http://www.editthis.info/wiki/Help:Math More help] |
- | ==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}<br>
| + | |
- | 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<br>
| + | |
- | 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==
| + | |
- | <p>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>
| + | |