Table (Built-in Mathematica Symbol)

Table[expr, {i_max}] generates a list of i_max copies of expr. Table[expr, {i, i_max}] generates a list of the values of expr when i runs from 1 to i_max. Table[expr, {i, ...

QRDecomposition (Built-in Mathematica Symbol)

QRDecomposition[m] yields the QR decomposition for a numerical matrix m. The result is a list {q, r}, where q is an orthogonal matrix and r is an upper-triangular matrix.

ExpToTrig (Built-in Mathematica Symbol)

ExpToTrig[expr] converts exponentials in expr to trigonometric functions.

SphericalHankelH1 (Built-in Mathematica Symbol)

SphericalHankelH1[n, z] gives the spherical Hankel function of the first kind h_n^(1)(z).

Selecting and Deleting Expressions (Mathematica Tutorial)

Select the next-higher subexpression by pressing Ctrl+.. Press Ctrl+. repeatedly. Get rid of the contents of an expression and destructure it by pressing Del (or Backspace).

Functions That Do Not Have Unique Values (Mathematica Tutorial)

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...

Making Tables of Values (Mathematica Tutorial)

You can use lists as tables of values. You can generate the tables, for example, by evaluating an expression for a sequence of different parameter values. This gives a table ...

Do (Built-in Mathematica Symbol)

Do[expr, {i_max}] evaluates expr i_max times. Do[expr, {i, i_max}] evaluates expr with the variable i successively taking on the values 1 through i_max (in steps of 1). ...

Im (Built-in Mathematica Symbol)

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

InverseFourierSequenceTransform (Built-in Mathematica Symbol)

InverseFourierSequenceTransform[expr, \[Omega], n] gives the inverse discrete-time Fourier transform of expr.InverseFourierSequenceTransform[expr, {\[Omega]_1, \[Omega]_2, \ ...