ReplaceAll (Built-in Mathematica Symbol)

expr /. rules applies a rule or list of rules in an attempt to transform each subpart of an expression expr.

Curve Fitting (Mathematica Tutorial)

There are many situations where one wants to find a formula that best fits a given set of data. One way to do this in Mathematica is to use Fit. Basic linear fitting. Here is ...

New in 6.0: Visualization & Graphics (Mathematica Guide)

Version 6.0 represented a major step forward in visualization and graphics, with many new and original concepts. Among them was full integration of Mathematica symbolic ...

Numerical Optimization (Mathematica Tutorial)

Searching for local minima and maxima. This finds the value of x which minimizes Γ(x), starting at x2. The last element of the list gives the value at which the minimum is ...

SphericalBesselY (Built-in Mathematica Symbol)

SphericalBesselY[n, z] gives the spherical Bessel function of the second kind y_n (z).

Evaluation (Mathematica Tutorial)

The following is the sequence of steps that Mathematica follows in evaluating an expression like h[e_1,e_2…]. Every time the expression changes, Mathematica effectively ...

Transformation Rules and Definitions (Mathematica Overview)

Applying Transformation Rules Manipulating Sets of Transformation Rules Making Definitions

Zeta (Built-in Mathematica Symbol)

Zeta[s] gives the Riemann zeta function \[Zeta](s). Zeta[s, a] gives the generalized Riemann zeta function \[Zeta](s, a).

Function Approximations Package ... (Function Approximations Package Tutorial)

[1] Hairer, E. and G. Wanner. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems. Springer, 1991. [2] Iserles, A. and S. P. Nørsett. Order ...

Messages (Mathematica Tutorial)

Mathematica has a general mechanism for handling messages generated during computations. Many built-in Mathematica functions use this mechanism to produce error and warning ...