EulerSum (Numerical Calculus Package Symbol)

EulerSum[f, {i, i_min, i_max}] gives a numerical approximation to the sum \[Sum]i = i_min i_max f using Euler's transformation.EulerSum[f, {i, i_min, i_max, di}] uses a step ...

NewtonCotesError (Numerical Differential Equation Analysis Package Symbol)

NewtonCotesError[n, f, a, b] gives the error in the elementary n-point Newton-Cotes quadrature formula for the function f on an interval from a to b.

NewtonCotesWeights (Numerical Differential Equation Analysis Package Symbol)

NewtonCotesWeights[n, a, b] gives a list of the n pairs {x_i, w_i} of the elementary n-point Newton-Cotes formula for quadrature on the interval a to b, where w_i is the ...

RungeKuttaOrderConditions (Numerical Differential Equation Analysis Package Symbol)

RungeKuttaOrderConditions[p, s] gives a list of the order conditions that any s-stage Runge\[Dash]Kutta method of order p must satisfy. RungeKuttaOrderConditions[p] gives the ...

LegendShadow (Plot Legends Package Symbol)

LegendShadow is an option for Legend which specifies the shadowing drawn around the legend.

ShowLegend (Plot Legends Package Symbol)

ShowLegend[graphics, legend_1, legend_2, ...] places the legend_1, legend_2, ..., in the given graphic graphics.

Stellate (Polyhedron Operations Package Symbol)

Stellate[expr] replaces each polygon in graphics expression expr by a pyramid, with the polygon as its base.Stellate[expr, ratio] uses a stellation ratio ratio.

PrimeQCertificateCheck (Primality Proving Package Symbol)

PrimeQCertificateCheck[cert, n] gives True if cert is a valid certificate for the primality or compositeness of n, and False otherwise.

AtomicData (Resonance Absorption Lines Package Symbol)

AtomicData[element] gives the spectral data of the resonance absorption lines produced by element element.AtomicData[element, ionstage] gives the data for the lines of the ...

ArcLengthFactor (Vector Analysis Package Symbol)

ArcLengthFactor[{f_1, f_2, f_3}, t] gives the derivative of the arc length of the curve described by the parametrized curve coordinates {f_1, f_2, f_3} with respect to the ...