Difference between revisions of "Template:Math commands reference"
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m (→Characters – Special: prettify: force display) |
m (→Brackets: show math typeface) |
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! Operation || Command || Display | ! Operation || Command || Display | ||
|- | |- | ||
− | ||Round Brackets||(a)|| | + | ||Round Brackets||(a)||<math>(a)</math> |
|- | |- | ||
− | ||Square Brackets||[b]|| | + | ||Square Brackets||[b]||<math>[b]</math> |
|- | |- | ||
||Double Square Brackets||ldbracket c rdbracket||<math>[\![ c ]\!]</math> | ||Double Square Brackets||ldbracket c rdbracket||<math>[\![ c ]\!]</math> | ||
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||Double line||ldline a rdline||<math>\Vert a \Vert</math> | ||Double line||ldline a rdline||<math>\Vert a \Vert</math> | ||
|- | |- | ||
− | ||Braces||lbrace w rbrace|| | + | ||Braces||lbrace w rbrace||<math>\{w\}</math> |
|- | |- | ||
||Braces||left lbrace stack{0, n <> 0 # 1, n = 1} right none|| [[Image:lbrace.png]] | ||Braces||left lbrace stack{0, n <> 0 # 1, n = 1} right none|| [[Image:lbrace.png]] | ||
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||Operator Brackets||langle a mline b rangle||<math>\langle a|b \rangle</math> | ||Operator Brackets||langle a mline b rangle||<math>\langle a|b \rangle</math> | ||
|- | |- | ||
− | ||Group brackets (used for program control)||{a}|| | + | ||Group brackets (used for program control)||{a}||<math>a</math> |
|- | |- | ||
||Scalable round brackets (add the word "left" before a left bracket and "right" before a right bracket)||left ( stack{a # b # z} right )||<math>\begin{pmatrix} a \\ b \\ z \end{pmatrix}</math> | ||Scalable round brackets (add the word "left" before a left bracket and "right" before a right bracket)||left ( stack{a # b # z} right )||<math>\begin{pmatrix} a \\ b \\ z \end{pmatrix}</math> |
Revision as of 12:55, 16 August 2009
Contents
Unary / binary operators
Operation | Command | Display |
---|---|---|
Positive (plus) | +1 | +1 |
Negative (minus) | -1 | −1 |
Plus/minus | +-1 | |
Minus/plus | -+1 | |
Boolean 'not' | neg a | ¬a |
Addition | a + b | a+b |
Dot product | a cdot b | a·b |
Cross product | a times b | a×b |
Multiplication (asterisk) | a * b | a * b |
Boolean 'and' | a and b | a∧b |
Subtraction | a - b | a−b |
Division (as a fraction) | a over b | |
Division (as an operator) | a div b | a÷b |
Division (with a slash) | a / b | a/b |
Boolean 'or' | a or b | |
Concatenation | a circ b |
Relational operators
Operation | Command | Display |
---|---|---|
Is equal | a = b | a=b |
Is not equal | a <> b | a≠b |
Approximately | a approx 2 | a≈b |
Divides | a divides b | |
Does not divide | a ndivides b | |
Less than | a < 2 | a<2 |
Greater than | a > 2 | a>2 |
Similar to or equal | a simeq b | |
Parallel | a parallel b | |
Orthogonal to | a ortho b | |
Less than or equal to | a leslant b | |
Greater than or equal to | a geslant b | |
Similar to | a sim b | |
Congruent | a equiv b | a≡b |
Less than or equal to | a <= b | a≤b |
Greater than or equal to | a >= b | a≥b |
Proportional | a prop b | |
Toward | a toward b | a→b |
Arrow left | a dlarrow b | a⇐b |
Double arrow left and right | a dlrarrow b | a⇔b |
Arrow right | a drarrow b | a⇒b |
Set operations
Operation | Command | Display |
---|---|---|
Is in | a in B | a∈B |
Is not in | a notin B | a∉B |
Owns | A owns b | |
Empty set | emptyset | |
Intersection | A intersection B | A∩B |
Union | A union B | A∪B |
Difference | A setminus B | |
Quotient | A slash B | |
Aleph | aleph | ℵ |
Subset | A subset B | A⊂B |
Subset or equal to | A subseteq B | A⊆B |
Superset | A supset B | A⊃B |
Superset or equal to | A supseteq B | A⊇B |
Not subset | A nsubset B | A⊂ / B |
Not subset or equal | A nsubseteq B | A⊆ / B |
Not superset | A nsupset B | A⊃ / B |
Not superset or equal | A nsupseteq B | A⊇ / B |
Set of natural numbers | setN | |
Set of integers | setZ | |
Set of rational numbers | setQ | |
Set of real numbers | setR | |
Set of complex numbers | setC |
Functions
Operation | Command | Display |
---|---|---|
Exponential | func e^{a} | |
Natural logarithm | ln(a) | |
Exponential function | exp(a) | |
Logarithm | log(a) | |
Power | a^{b} | |
Sine | sin(a) | |
Cosine | cos(a) | |
Tangent | tan(a) | |
Cotangent | cot(a) | |
Square root | sqrt{a} | |
Arcsine | arcsin(a) | |
Arccosine | arccos(a) | |
Arctangent | arctan(a) | |
Arc cotangent | arccot(a) | |
nth root | nroot{a}{b} | |
Hyperbolic sine | sinh(a) | |
Hyperbolic cosine | cosh(a) | |
Hyperbolic tangent | tanh(a) | |
Hyperbolic cotangent | coth(a) | |
Absolute value | abs{a} | |
Arc hyperbolic sine | arsinh(a) | |
Arc hyperbolic cosine | arccosh(a) | |
Arc hyperbolic tangent | arctanh(a) | |
Arc hyperbolic cotangent | arccoth(a) | |
Factorial | fact{a} |
Operators
All operators can be used with the limit functions (“from" and “to").
Attributes
Note 1: Unquoted text that is not a command is considered to be a variable. Variables are, by default, italicized.
Note 2: There are three custom fonts: serif (with serifs), sans (sans serif, meaning without serifs), and fixed (monospaced). To change the actual fonts used for custom fonts and the fonts used for variables (unquoted text), numbers and functions, use Format > Fonts.
Note 3: For all coloring, the color will apply only to the text immediately following the command until the next space is encountered. In order to have the color apply to more characters, place the text you want in color in curly brackets.
Miscellaneous
Brackets
Formats
Operation | Command | Display | |
---|---|---|---|
Left superscript | a lsup{b} | ||
Center superscript | a csup{b} | ||
Right superscript | a^{b} | ||
Left subscript | a lsub{b} | ||
Center subscript | a csub{b} | ||
Right subscript | a_{b} | ||
Align character to left (text is aligned center by default) | stack { Hello world # alignl (a) } |
| |
Align character to center | stack{Hello world # alignc(a)} |
| |
Align character to right | stack { Hello world # alignr(a)} |
| |
Vertical stack of 2 | binom{a}{b} | ||
Vertical stack, more than 2 | stack{a # b # z} | ||
Matrix | matrix{ a # b ## c # d } |
||
Equations aligned at '=' (using 'matrix') | matrix{ a # "=" # alignl{b} ## {} # "=" # alignl{c+1} } |
||
Equations aligned at '=' (using 'phantom') | stack{ alignl{a} = b # alignl{phantom{a} = c+1} } |
||
New line | asldkfjo newline sadkfj | asldkfjo sadkfj | |
Small gap (grave) | stuff `stuff | ||
Large gap (tilde) | stuff~stuff |
Characters – Greek
Code | Display | Code | Display | Code | Display | Code | Display | Code | Display |
---|---|---|---|---|---|---|---|---|---|
%ALPHA | Α | %BETA | Β | %CHI | Χ | %DELTA | Δ | %EPSILON | Ε |
%ETA | Η | %GAMMA | Γ | %IOTA | Ι | %KAPPA | Κ | %LAMBDA | Λ |
%MU | Μ | %NU | Ν | %OMEGA | Ω | %OMICRON | Ο | %PHI | Φ |
%PI | Π | %PSI | Ψ | %RHO | Ρ | %SIGMA | Σ | %THETA | Θ |
%UPSILON | Υ | %XI | Ξ | %ZETA | Ζ | ||||
%alpha | α | %beta | β | %chi | χ | %delta | δ | %epsilon | ε |
%eta | η | %gamma | γ | %iota | ι | %kappa | κ | %lambda | λ |
%mu | μ | %nu | ν | %omega | ω | %omicron | ο | %phi | φ |
%pi | π | %rho | ρ | %sigma | σ | %tau | τ | %theta | θ |
%upsilon | υ | %varepsilon | %varphi | %varpi | %varrho | ||||
%varsigma | %vartheta | %xi | ξ | %zeta | ζ |
Characters – Special
%and | %angle | %element | %identical |
%infinite | %noelement | %notequal | %or |
%perthousand ‰ | %strictlygreaterthan | %strictlylessthan | %tendto |
Content on this page is licensed under the Creative Common Attribution 3.0 license (CC-BY). |