Im (Built-in Mathematica Symbol)

Im[z] gives the imaginary part of the complex number z.

Re (Built-in Mathematica Symbol)

Re[z] gives the real part of the complex number z.

Abel Equations (Mathematica Tutorial)

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

Orthogonal Polynomials (Mathematica Tutorial)

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

LiftingWaveletTransform (Built-in Mathematica Symbol)

LiftingWaveletTransform[data] gives the lifting wavelet transform (LWT) of an array of data.LiftingWaveletTransform[data, wave] gives the lifting wavelet transform using the ...

Termination Conditions (Mathematica Tutorial)

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

SQLSelect (DatabaseLink Symbol)

SQLSelect[conn, table] extracts data from a table in an SQL connection. SQLSelect[conn, table, cols] extracts data from particular columns.SQLSelect[conn, table, cols, cond] ...

OpenCLFunctionLoad (OpenCLLink Symbol)

OpenCLFunctionLoad[prog, fun, argtypes, blockdims] loads fun from source code prog, returning an OpenCLFunction object.OpenCLFunctionLoad[{progfile}, fun, argtypes, ...

Statistical Plots Package (Statistical Plots Package Tutorial)

A wide variety of plots and charts are used to gain an overview of data from a statistical perspective. Some summarize statistical computations on the data, while others ...

Do Basic Calculations (Mathematica How To)

Mathematica serves as a convenient and extensible environment for doing basic math. In addition to performing advanced calculations, Mathematica can also be used as a ...