Linear Systems of ODEs (Mathematica Tutorial)

Here is a system of two ODEs whose coefficient matrix has real and distinct eigenvalues. This solves the system. Note that the general solution depends on two arbitrary ...

Sech (Built-in Mathematica Symbol)

Sech[z] gives the hyperbolic secant of z.

HermitianMatrixQ (Built-in Mathematica Symbol)

HermitianMatrixQ[m] tests whether m is a Hermitian matrix.

MeshFunctions (Built-in Mathematica Symbol)

MeshFunctions is an option for plotting functions that specifies functions to use to determine the placement of mesh divisions.

SymmetricMatrixQ (Built-in Mathematica Symbol)

SymmetricMatrixQ[m] tests whether m is a symmetric matrix.

Structural Operations on Rational ... (Mathematica Tutorial)

For ordinary polynomials, Factor and Expand give the most important forms. For rational expressions, there are many different forms that can be useful. Different kinds of ...

Erfc (Built-in Mathematica Symbol)

Erfc[z] gives the complementary error function erfc(z).

Erf (Built-in Mathematica Symbol)

Erf[z] gives the error function erf(z). Erf[z_0, z_1] gives the generalized error function erf(z_1) - erf(z_0).

FresnelC (Built-in Mathematica Symbol)

FresnelC[z] gives the Fresnel integral C(z).

FresnelS (Built-in Mathematica Symbol)

FresnelS[z] gives the Fresnel integral S(z).