Check the Results of DSolve (Mathematica How To)

While DSolve usually returns the correct solution to a differential equation it is given, it is common practice to verify the solution returned by any differential equation ...

RiemannSiegelZ (Built-in Mathematica Symbol)

RiemannSiegelZ[t] gives the Riemann\[Dash]Siegel function Z(t).

RootLocusPlot (Built-in Mathematica Symbol)

RootLocusPlot[g, {k, k_min, k_max}] generates the root locus plot of a rational function g of k ranging from k_min to k_max.RootLocusPlot[sys, ...] plots the root loci of a ...

ProgressIndicator (Built-in Mathematica Symbol)

ProgressIndicator[x] represents a progress indicator with setting x in the range 0 to 1. ProgressIndicator[Dynamic[x]] takes the setting to be the dynamically updated current ...

FindFit (Built-in Mathematica Symbol)

FindFit[data, expr, pars, vars] finds numerical values of the parameters pars that make expr give a best fit to data as a function of vars. The data can have the form {{x_1, ...

Introduction (C Code Generator Tutorial)

Code generation from Mathematica involves converting programs written in the Mathematica language into other languages and then supporting them so that they can be executed. ...

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 ...

Functions with Sensitive Dependence on ... (Mathematica Tutorial)

Functions that are specified by simple algebraic formulas tend to be such that when their input is changed only slightly, their output also changes only slightly. But ...

WeierstrassZeta (Built-in Mathematica Symbol)

WeierstrassZeta[u, {g_2, g_3}] gives the Weierstrass zeta function \[Zeta](u; g_2, g_3).

Monitoring and Selecting Algorithms (Mathematica Tutorial)

Functions in Mathematica are carefully set up so that you normally do not have to know how they work inside. But particularly for numerical functions that use iterative ...