Plot (Built-in Mathematica Symbol)

Plot[f, {x, x_min, x_max}] generates a plot of f as a function of x from x_min to x_max. Plot[{f_1, f_2, ...}, {x, x_min, x_max}] plots several functions f_i.

Introduction to Dynamic (Mathematica Tutorial)

This tutorial describes the principles behind Dynamic, DynamicModule, and related functions, and goes into detail about how they interact with each other and with the rest of ...

Line Search Methods (Mathematica Tutorial)

A method like "Newton's" method chooses a step, but the validity of that step only goes as far as the Newton quadratic model for the function really reflects the function. ...

Newton's Method (Mathematica Tutorial)

One significant advantage Mathematica provides is that it can symbolically compute derivatives. This means that when you specify Method->"Newton" and the function is ...

Termination Conditions (Mathematica Tutorial)

Mathematically, sufficient conditions for a local minimum of a smooth function are quite straightforward: x^* is a local minimum if ∇f(x^*)=0 and the Hessian ∇^2f(x^*) is ...

NumberTheory`NumberTheoryFunctions` (Mathematica Compatibility Information)

SquareFreeQ, PrimePowerQ, KroneckerSymbol, ChineseRemainder and PrimitiveRoot have been added to the built-in Mathematica kernel functions. NextPrime and PreviousPrime are ...

Summary of New Features in Mathematica 8 (Mathematica Guide)

ColorData (Built-in Mathematica Symbol)

ColorData["scheme"] gives a function that generates colors in the named color scheme when applied to parameter values. ColorData["scheme", " property"] gives the specified ...

DiracDelta (Built-in Mathematica Symbol)

DiracDelta[x] represents the Dirac delta function \[Delta](x). DiracDelta[x_1, x_2, ...] represents the multidimensional Dirac delta function \[Delta](x_1, x_2, ...).

EllipticE (Built-in Mathematica Symbol)

EllipticE[m] gives the complete elliptic integral E(m). EllipticE[\[Phi], m] gives the elliptic integral of the second kind E(\[Phi] \[VerticalSeparator] m).