HermiteDecomposition (Built-in Mathematica Symbol)

HermiteDecomposition[m] gives the Hermite normal form decomposition of an integer matrix m.

IncidenceMatrix (Built-in Mathematica Symbol)

IncidenceMatrix[g] gives the vertex-edge incidence matrix of the graph g.

InputForm (Built-in Mathematica Symbol)

InputForm[expr] prints as a version of expr suitable for input to Mathematica.

Precision (Built-in Mathematica Symbol)

Precision[x] gives the effective number of digits of precision in the number x.

Algebraic Numbers (Mathematica Tutorial)

The representation of algebraic numbers. When you enter a Root object, the polynomial that appears in it is automatically reduced to a minimal form. This extracts the pure ...

Applying Functions Repeatedly (Mathematica Tutorial)

Many programs you write will involve operations that need to be iterated several times. Nest and NestList are powerful constructs for doing this. Applying functions of one ...

Differential Equation Solving with ... (Mathematica Overview)

Introduction to Differential Equation Solving with DSolve Classification of Differential Equations Ordinary Differential Equations (ODEs)

References (Mathematica Tutorial)

[AB04] Abell, M. L. and J. P. Braselton. Differential Equations with Mathematica. (3rd ed.) Elsevier Academic Press, 2004. [A89] Abramov, S. A. "Rational Solutions of Linear ...

Second-Order PDEs (Mathematica Tutorial)

The general form of a linear second-order PDE is Here uu(x,y), and a, b, c, d, e, f, and g are functions of x and y only—they do not depend on u. If g0, the equation is ...

Running Mathematica from Within an ... (Mathematica Tutorial)

To run Mathematica from within an external program requires making use of many general features of MathLink. The first issue is how to establish a MathLink connection to ...