$SyntaxHandler (Built-in Mathematica Symbol)

$SyntaxHandler is a global variable which, if set, is applied to any input string that is found to contain a syntax error.

$SystemID (Built-in Mathematica Symbol)

$SystemID is a short string that identifies the type of computer system on which Mathematica is being run.

$TimeZone (Built-in Mathematica Symbol)

$TimeZone gives the current time zone to assume for dates and times.

Advanced Matrix Operations (Mathematica Tutorial)

Finding singular values and norms of matrices. The singular values of a matrix m are the square roots of the eigenvalues of m.m^*, where * denotes Hermitian transpose. The ...

Controlling Infinite Evaluation (Mathematica Tutorial)

The general principle that Mathematica follows in evaluating expressions is to go on applying transformation rules until the expressions no longer change. This means, for ...

Overview of Linear Second-Order ODEs (Mathematica Tutorial)

Solving linear first-order ODEs is straightforward and only requires the use of a suitable integrating factor. In sharp contrast, there are a large number of methods ...

Introduction to Systems of ODEs (Mathematica Tutorial)

Systems of ODEs are important in various fields of science, such as the study of electricity and population biology. Like single ODEs, systems of ODEs can classified as ...

Linear First-Order Equations (Mathematica Tutorial)

The following is a linear first-order ODE because both y[x] and y^ ′[x] occur in it with power 1 and y^′[x] is the highest derivative. Note that the solution contains 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 ...

Numerical Optimization (Mathematica Tutorial)

Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...