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

ToExpression[input] gives the expression obtained by interpreting strings or boxes as Mathematica input. ToExpression[input, form] uses interpretation rules corresponding to ...

The ability to generate pseudorandom numbers is important for simulating events, estimating probabilities and other quantities, making randomized assignments or selections, ...

The following are some issues and considerations to be aware of when using the Notation Package and/or designing notations. It is intrinsically difficult to debug something ...

ListStreamPlot[array] generates a stream plot from an array of vector field values.ListStreamPlot[{{{x_1, y_1}, {vx_1, vy_1}}, ...}] generates a stream plot from vector field ...

DiscretePlot[expr, {n, n_max}] generates a plot of the values of expr when n runs from 1 to n_max.DiscretePlot[expr, {n, n_min, n_max}] generates a plot of the values of expr ...

A plot of the solution given by DSolve can give useful information about the nature of the solution, for instance, whether it is oscillatory in nature. It can also serve as a ...

Reap[expr] gives the value of expr together with all expressions to which Sow has been applied during its evaluation. Expressions sown using Sow[e] or Sow[e, tag_i] with ...

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 NumericalDifferentialEquationAnalysis package combines functionality for analyzing differential equations using Butcher trees, Gaussian quadrature, and Newton-Cotes ...