Introduction to Differential Equation ... (Mathematica Tutorial)

The Mathematica function DSolve finds symbolic solutions to differential equations. (The Mathematica function NDSolve, on the other hand, is a general numerical differential ...

Matrix Decompositions (Mathematica Guide)

Counting and Isolating Polynomial Roots (Mathematica Tutorial)

Counting roots of polynomials. CountRoots accepts polynomials with Gaussian rational coefficients. The root count includes multiplicities. This gives the number of real roots ...

FunctionExpand (Built-in Mathematica Symbol)

FunctionExpand[expr] tries to expand out special and certain other functions in expr, when possible reducing compound arguments to simpler ones. FunctionExpand[expr, assum] ...

Boolean Computation (Mathematica Guide)

Building on its core symbolic architecture, Mathematica gives immediate access to the latest in industrial-strength Boolean computation. With highly general symbolic ...

The Algorithms of Mathematica (Mathematica Tutorial)

The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...

Mean (Built-in Mathematica Symbol)

Mean[list] gives the statistical mean of the elements in list. Mean[dist] gives the mean of the symbolic distribution dist.

Variance (Built-in Mathematica Symbol)

Variance[list] gives the sample variance of the elements in list. Variance[dist] gives the variance of the symbolic distribution dist.

Elementary Functions (Mathematica Guide)

Using the latest platform-optimized code, Mathematica not only delivers high-efficiency machine-precision evaluation of elementary functions, but also—using a number of ...

AstronomicalData (Built-in Mathematica Symbol)

AstronomicalData["name", " property"] gives the value of the specified property of the astronomical object with the specified name.AstronomicalData["name", {"property", ...