In doing numerical operations like NDSolve and NMinimize, Mathematica by default uses machine numbers. But by setting the option WorkingPrecision->n you can tell it to use ...

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 ...

Basic Objects Input Syntax Some General Notations and Conventions

A differential system can sometimes be solved by analytic means. The function DSolve implements many of the known algorithmic techniques. However, differential systems that ...

Version 6.0 introduced integrated highly efficient support for a wide range of statistical functions and operations, both on explicit data and on symbolic representations of ...

Mathematica's unified symbolic architecture makes it straightforward to insert dynamic behavior anywhere in any graphic. Single functions—readily generated ...

PrecisionGoal is an option for various numerical operations which specifies how many effective digits of precision should be sought in the final result.

It is often useful to be able to detect and precisely locate a change in a differential system. For example, with the detection of a singularity or state change, the ...

 

Based on original algorithms developed at Wolfram Research, Mathematica's core randomness generation is both highly efficient and of exceptional quality. Mathematica can ...