VertexDegree[g] gives the list of vertex degrees for all vertices in the graph g.VertexDegree[g, v] gives the vertex degree for the vertex v.

Arrow[{pt_1, pt_2}] is a graphics primitive that represents an arrow from pt_1 to pt_2.Arrow[{pt_1, pt_2}, s] represents an arrow with its ends set back from pt_1 and pt_2 by ...

ArcTan[z] gives the arc tangent tan -1 (z) of the complex number z. ArcTan[x, y] gives the arc tangent of y/x, taking into account which quadrant the point (x, y) is in.

$MachineEpsilon gives the difference between 1.0 and the next-nearest number representable as a machine-precision number.

RiccatiSolve[{a, b}, {q, r}] gives the matrix x that is the stabilizing solution of the continuous algebraic Riccati equation ConjugateTranspose[a].x + x.a - ...

Using a variety of state-of-the-art methods, Mathematica provides immediate functions for detecting and extracting features in images and other arrays of data. Mathematica ...

SquareFreeQ, PrimePowerQ, KroneckerSymbol, ChineseRemainder and PrimitiveRoot have been added to the built-in Mathematica kernel functions. NextPrime and PreviousPrime are ...

StateSpaceTransform[ss, s_1] transforms the StateSpaceModel object ss using the similarity matrix s_1.StateSpaceTransform[ss, {s_1, s_2}] computes the transformation using ...

A Diophantine polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers where the variables ...

JacobiCD[u, m] gives the Jacobi elliptic function cd(u | m).