Abel Equations (Mathematica Tutorial)

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

RootSum (Built-in Mathematica Symbol)

RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.

DiscreteMath`RSolve` (Mathematica Compatibility Information)

The functionality is now available in built-in Mathematica kernel functions RSolve, ZTransform, and Sum. The built-in kernel function SeriesCoefficient now contains the ...

MorletWavelet (Built-in Mathematica Symbol)

MorletWavelet[] represents a Morlet wavelet.

Power (Built-in Mathematica Symbol)

x^y gives x to the power y.

Create an Image Object (Mathematica How To)

Images are an important standard data structure, tightly integrated with the Mathematica front end and kernel. Image objects are created by default when you import any file ...

Nonlinear Second-Order ODEs (Mathematica Tutorial)

The general form of a nonlinear second-order ODE is For simplicity, assume that the equation can be solved for the highest-order derivative y^ ′′(x) to give There are a few ...

NIntegrate References (Mathematica Tutorial)

[BerntEspGenz91] Berntsen, J., T. O. Espelid, and A. Genz. "An Adaptive Algorithm for the Approximate Calculation of Multiple Integrals." ACM Trans. Math. Softw. 17, no. 4 ...

Introduction to Differential-Algebraic ... (Mathematica Tutorial)

The systems of equations that govern certain phenomena (in electrical circuits, chemical kinetics, etc.) contain a combination of differential equations and algebraic ...

Algorithm (Combinatorica Package Symbol)

Algorithm is an option that informs functions such as ShortestPath, VertexColoring, and VertexCover about which algorithm to use.