Difference between revisions of "Template:Math commands reference"
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− | | Following item in sans serif font (see Note 2)||font sans qv|| | + | | Following item in sans serif font (see Note 2)||font sans qv||<span style="font-family:Arial, sans-serif">''qv''</span> |
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| Following item in serif font||font serif qv||''<math>\mathrm{q}\mathrm{v}</math>'' | | Following item in serif font||font serif qv||''<math>\mathrm{q}\mathrm{v}</math>'' |
Revision as of 06:30, 13 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} | ea |
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} | 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
Operation | Command | Display |
---|---|---|
Infinity | infinity | |
Partial | partial | |
Nabla | nabla | |
There exists | exists | |
For all | forall | |
H bar | hbar | |
Lambda bar | lambdabar | |
Real part | re | |
Imaginary part | im | |
Weierstrass p | wp | |
Left arrow | leftarrow | |
Right arrow | rightarrow | |
Up arrow | uparrow | |
Down arrow | downarrow | |
Dots at bottom | dotslow | |
Dots at middle | dotsaxis | |
Dots vertical | dotsvert | |
Dots diagonal upward | dotsup | |
Dots diagonal downward | dotsdown |
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 | |
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 |
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