Difference between revisions of "Predefined Functions and Operators"

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(Created page with "beta(a, b) Returns the beta function Β(a, b) http://mathworld.wolfram.com/BetaFunction.html beta(a, b, x) Returns the incomplete beta function Β(x;a, b) http://mathworld.wolfr...")
 
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beta(a, b)
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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude>
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Returns the beta function Β(a, b)
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To create numbers, coordinates, or equations using the [[Input Bar]] you may also use the following pre-defined functions and operations.
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http://mathworld.wolfram.com/BetaFunction.html
 
  
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beta(a, b, x)
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{{Note|The pre-defined functions need to be entered using parentheses. You must not put a space between the function name and the parentheses.}}
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Returns the incomplete beta function Β(x;a, b)
 
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http://mathworld.wolfram.com/IncompleteBetaFunction.html
 
  
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betaRegularized(a, b, x)
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Returns the incomplete regularized beta function I(x; a, b)
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{| class="pretty" width="95%"
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http://mathworld.wolfram.com/RegularizedBetaFunction.html
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|-
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!Operation / Function
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gamma(x)
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!Input
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Returns the gamma function Γ(x)
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|-
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http://mathworld.wolfram.com/GammaFunction.html
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|Addition
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| +
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gamma(a, x)
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|-
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Returns the (lower) incomplete gamma function  γ(a, x)
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|Subtraction
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http://mathworld.wolfram.com/IncompleteGammaFunction.html
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| -
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|-
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gammaRegularized(a, x)
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|Multiplication
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Returns the (lower) incomplete regularized gamma function P(a, x)
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|* or Space key
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http://mathworld.wolfram.com/RegularizedGammaFunction.html
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|-
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|Scalar product
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|* or Space key
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|-
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|Vector product
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|⊗
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|-
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|Division
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|/
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|-
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|Exponentiation
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|^ or superscript (<code>x^2</code> or <code>x<sup>2</sup></code>)
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|-
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|Factorial
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|!
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|-
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|Parentheses
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|( )
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|-
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|x-coordinate
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|x( )
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|-
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|y-coordinate
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|y( )
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|-
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|Absolute value
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|abs( )
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|-
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|Sign
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|sgn( )
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|-
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|Square root
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|sqrt( )
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|-
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|Cubic root
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|cbrt( )
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|-
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|Random number between 0 and 1
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|random( )
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|-
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|Exponential function
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|exp( ) or ℯ<sup>x</sup>
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|-
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|Logarithm (natural, to base e)
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|ln( ) or log( )
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|-
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|Logarithm to base 2
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|ld( )
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|-
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|Logarithm to base 10
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|lg( )
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|-
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|Cosine
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|cos( )
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|-
 +
|Sine
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|sin( )
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|-
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|Tangent
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|tan( )
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|-
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|Arc cosine
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|acos( )
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|-
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|Arc sine
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|asin( )
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|-
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|Arc tangent
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|atan( )
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|-
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|Hyperbolic cosine
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|cosh( )
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|-
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|Hyperbolic sine
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|sinh( )
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|-
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|Hyperbolic tangent
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|tanh( )
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|-
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|Antihyperbolic cosine
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|acosh( )
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|-
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|Antihyperbolic sine
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|asinh( )
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|-
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|Antihyperbolic tangent
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|atanh( )
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|-
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|Greatest integer less than or equal
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|floor( )
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|-
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|Least integer greater than or equal
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|ceil( )
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|-
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|Round
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|round( )
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|-
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|[http://mathworld.wolfram.com/BetaFunction.html Beta function] Β(a, b)
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|beta(a, b)
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|-
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|[http://mathworld.wolfram.com/IncompleteBetaFunction.html Incomplete beta function] Β(x;a, b)
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|beta(a, b, x)
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|-
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|[http://mathworld.wolfram.com/RegularizedBetaFunction.html Incomplete regularized beta function] I(x; a, b)
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|betaRegularized(a, b, x)
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|-
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|[[w:Gamma function|Gamma function]]
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|gamma( x)
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|-
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| (Lower) [http://mathworld.wolfram.com/IncompleteGammaFunction.html incomplete gamma function]  γ(a, x)
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|gamma(a, x)
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|-
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|(Lower)  [http://mathworld.wolfram.com/RegularizedGammaFunction.html incomplete regularized gamma function]
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|gammaRegularized(a, x)
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|}

Revision as of 21:34, 16 June 2011

To create numbers, coordinates, or equations using the Input Bar you may also use the following pre-defined functions and operations.

Note: The pre-defined functions need to be entered using parentheses. You must not put a space between the function name and the parentheses.


Operation / Function Input
Addition +
Subtraction -
Multiplication * or Space key
Scalar product * or Space key
Vector product ⊗
Division /
Exponentiation ^ or superscript (x^2 or x2)
Factorial !
Parentheses ( )
x-coordinate x( )
y-coordinate y( )
Absolute value abs( )
Sign sgn( )
Square root sqrt( )
Cubic root cbrt( )
Random number between 0 and 1 random( )
Exponential function exp( ) or ℯx
Logarithm (natural, to base e) ln( ) or log( )
Logarithm to base 2 ld( )
Logarithm to base 10 lg( )
Cosine cos( )
Sine sin( )
Tangent tan( )
Arc cosine acos( )
Arc sine asin( )
Arc tangent atan( )
Hyperbolic cosine cosh( )
Hyperbolic sine sinh( )
Hyperbolic tangent tanh( )
Antihyperbolic cosine acosh( )
Antihyperbolic sine asinh( )
Antihyperbolic tangent atanh( )
Greatest integer less than or equal floor( )
Least integer greater than or equal ceil( )
Round round( )
Beta function Β(a, b) beta(a, b)
Incomplete beta function Β(x;a, b) beta(a, b, x)
Incomplete regularized beta function I(x; a, b) betaRegularized(a, b, x)
Gamma function gamma( x)
(Lower) incomplete gamma function γ(a, x) gamma(a, x)
(Lower) incomplete regularized gamma function gammaRegularized(a, x)
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