Symmetric Polynomials (Mathematica Tutorial)

A symmetric polynomial in variables x_1,…,x_n is a polynomial that is invariant under arbitrary permutations of x_1,…,x_n. Polynomials are called elementary symmetric ...

Structural Operations on Expressions (Mathematica Guide)

Mathematica's unified symbolic architecture immediately allows it to perform structural transformations not only on objects like lists, but also on general symbolic ...

Tanh (Built-in Mathematica Symbol)

Tanh[z] gives the hyperbolic tangent of z.

Solve (Built-in Mathematica Symbol)

Solve[expr, vars] attempts to solve the system expr of equations or inequalities for the variables vars. Solve[expr, vars, dom] solves over the domain dom. Common choices of ...

InverseWaveletTransform (Built-in Mathematica Symbol)

InverseWaveletTransform[dwd] gives the inverse wavelet transform of a DiscreteWaveletData object dwd.InverseWaveletTransform[dwd, wave] gives the inverse transform using the ...

EllipticF (Built-in Mathematica Symbol)

EllipticF[\[Phi], m] gives the elliptic integral of the first kind F(\[Phi] \[VerticalSeparator] m).

Exponent (Built-in Mathematica Symbol)

Exponent[expr, form] gives the maximum power with which form appears in the expanded form of expr. Exponent[expr, form, h] applies h to the set of exponents with which form ...

BellB (Built-in Mathematica Symbol)

BellB[n] gives the Bell number B_n. BellB[n, x] gives the Bell polynomial B_n (x).

Specifying Derivatives (Mathematica Tutorial)

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...

Coth (Built-in Mathematica Symbol)

Coth[z] gives the hyperbolic cotangent of z.