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NumericalQuadrature

Edit detail for NumericalQuadrature revision 1 of 3

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Editor: Bill Page Time: 2015/06/02 20:48:25 GMT+0
Note:

changed:
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\begin{axiom}
)sh NumericalQuadrature
\end{axiom}

\begin{axiom}
f(x) == sin(x)
aromberg(f, -%pi, %pi, 0.0001, 0.001, 2, 5, 20)
\end{axiom}

fricas

)sh NumericalQuadrature

 NumericalQuadrature  is a package constructor
 Abbreviation for NumericalQuadrature is NUMQUAD 
 This constructor is exposed in this frame.
------------------------------- Operations --------------------------------
 aromberg : ((Float -> Float),Float,Float,Float,Float,Integer,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)
 asimpson : ((Float -> Float),Float,Float,Float,Float,Integer,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)
 atrapezoidal : ((Float -> Float),Float,Float,Float,Float,Integer,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)
 romberg : ((Float -> Float),Float,Float,Float,Float,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)
 rombergo : ((Float -> Float),Float,Float,Float,Float,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)
 simpson : ((Float -> Float),Float,Float,Float,Float,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)
 simpsono : ((Float -> Float),Float,Float,Float,Float,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)
 trapezoidal : ((Float -> Float),Float,Float,Float,Float,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)
 trapezoidalo : ((Float -> Float),Float,Float,Float,Float,Integer,Integer) -> Record(value: Float,error: Float,totalpts: Integer,success: Boolean)

fricas

f(x) == sin(x)

Type: Void

fricas

aromberg(f, -%pi, %pi, 0.0001, 0.001, 2, 5, 20)

fricas

Compiling function f with type Float -> Float

$\label{eq1}\begin{array}{@{}l} \displaystyle \left[{value = -{0.8 E - 20}}, \:{error ={0.1993526932 \_ 47 E - 8}}, \: \right. \ \ \displaystyle \left.{totalpts ={161}}, \:{success = \mbox{\rm true} }\right]$

(1)

Type: Record(value: Float,error: Float,totalpts: Integer,success: Boolean)