Abs[z] gives the absolute value of the real or complex number z.

CharacteristicPolynomial[m, x] gives the characteristic polynomial for the matrix m. CharacteristicPolynomial[{m, a}, x] gives the generalized characteristic polynomial with ...

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

Listable is an attribute that can be assigned to a symbol f to indicate that the function f should automatically be threaded over lists that appear as its arguments.

Norm[expr] gives the norm of a number, vector or matrix. Norm[expr, p] gives the p-norm.

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

Special forms for some common symbols. This is equivalent to Sin[60Degree]. Here is the long form of the input.

Mathematica provides important functionality through accessing the internet. Most Mathematica functions that provide computable data operate by loading data over the ...

Numerical integration functions. This finds a numerical approximation to the integral ∫_(0)^∞ e^-x^3 x. Here is the numerical value of the double integral ∫_(-1)^1 dx ...

EmpiricalDistribution[{x_1, x_2, ...}] represents an empirical distribution based on the data values x_i.EmpiricalDistribution[{{x_1, y_1, ...}, {x_2, y_2, ...}, ...}] ...