Setter (Built-in Mathematica Symbol)

Setter[x, val] represents a setter button whose setting x is set to val when the button is clicked. The button is labeled with val, and appears pressed if the value of x is ...

Unequal (Built-in Mathematica Symbol)

lhs != rhs or lhs != rhs returns False if lhs and rhs are identical.

Basic Statistics (Mathematica Tutorial)

Basic descriptive statistics operations. Given a list with n elements x_i, the mean Mean[list] is defined to be μ(x)OverscriptBox[x, _]∑x_i/n. The variance Variance[list] ...

Calling Subsidiary Mathematica Processes (Mathematica Tutorial)

Connecting to a subsidiary program via MathLink. This starts a subsidiary Mathematica process on the computer system used here. Here is a packet representing the first input ...

Defining Your Own Wavelet (Mathematica Tutorial)

You can define wavelets to plug into the wavelet analysis framework by using the correct template. A wavelet wave is of the form wfam[args], where wfam is the symbol that ...

Second-Order PDEs (Mathematica Tutorial)

The general form of a linear second-order PDE is Here uu(x,y), and a, b, c, d, e, f, and g are functions of x and y only—they do not depend on u. If g0, the equation is ...

Verification of the Solution (Mathematica Tutorial)

The solution given by DSolve can be verified using various methods. The easiest method involves substituting the solution back into the equation. If the result is True, the ...

Is the Problem Well-Posed? (Mathematica Tutorial)

DSolve returns a general solution for a problem if no initial or boundary conditions are specified. The general solution to this equation is returned. However, if initial or ...

Matrix Inversion (Mathematica Tutorial)

Matrix inversion. Here is a simple 2×2 matrix. This gives the inverse of m. In producing this formula, Mathematica implicitly assumes that the determinant ad-bc is nonzero.

NDSolve Method Plugin Framework (Mathematica Tutorial)

The control mechanisms set up for NDSolve enable you to define your own numerical integration algorithms and use them as specifications for the Method option of NDSolve. ...