The primes have been a focal point for investigations of numbers for more than two millennia. Mathematica implements state-of-the-art algorithms for handling both primes and ...

Constrained optimization problems are problems for which a function f(x) is to be minimized or maximized subject to constraints Φ(x). Here f:^n  is called the objective ...

Xnor[e_1, e_2, ...] is the logical XNOR (not XOR) function. It gives True if an even number of the e_i are True, and the rest are False. It gives False if an odd number of ...

A real polynomial system is an expression constructed with polynomial equations and inequalities combined using logical connectives and quantifiers and

The Mathematica function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some ...

Probability and statistics are used to model uncertainty from a variety of sources, such as incomplete or simplified models. Yet you can build useful models for aggregate or ...

This is a simple homogeneous DAE with constant coefficients. This finds the general solution. It has only one arbitrary constant because the second equation in the system ...

BSplineBasis[d, x] gives the zeroth uniform B-spline basis function of degree d at x.BSplineBasis[d, n, x] gives the n\[Null]^th uniform B-spline basis function of degree ...

Mathematica provides an extensive suite of built-in functionality to carry out analysis, design, and simulation of continuous- and discrete-time control systems using both ...

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 ...