ArrayFlatten (Built-in Mathematica Symbol)

ArrayFlatten[{{m_11, m_12, ...}, {m_21, m_22, ...}, ...}] creates a single flattened matrix from a matrix of matrices m i j. ArrayFlatten[a, r] flattens out r pairs of levels ...

InverseFunction (Built-in Mathematica Symbol)

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

NIntegrate Introduction (Mathematica Tutorial)

The Mathematica function NIntegrate is a general numerical integrator. It can handle a wide range of one-dimensional and multidimensional integrals. Finding a numerical ...

Putting Constraints on Patterns (Mathematica Tutorial)

Mathematica provides a general mechanism for specifying constraints on patterns. All you need to do is to put /;condition at the end of a pattern to signify that it applies ...

FactorSquareFreeList (Built-in Mathematica Symbol)

FactorSquareFreeList[poly] gives a list of square-free factors of a polynomial, together with their exponents.

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 ...

Locator (Built-in Mathematica Symbol)

Locator[{x, y}] represents a locator object at position {x, y} in a graphic. Locator[Dynamic[pos]] takes the position to be the dynamically updated current value of pos, with ...

With (Built-in Mathematica Symbol)

With[{x = x_0, y = y_0, ...}, expr] specifies that in expr occurrences of the symbols x, y, ... should be replaced by x_0, y_0, ....

BooleanCountingFunction (Built-in Mathematica Symbol)

BooleanCountingFunction[k_max, n] represents a Boolean function of n variables that gives True if at most k_max variables are True.BooleanCountingFunction[{k}, n] represents ...

KirchhoffGraph (Built-in Mathematica Symbol)

KirchhoffGraph[kmat] gives the graph with Kirchhoff matrix kmat.KirchhoffGraph[{v_1, v_2, ...}, kmat] gives the graph with vertices v_i and Kirchhoff matrix kmat.