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 ...
Mathematica contains some powerful primitives for making structural changes to expressions. You can use these primitives both to implement mathematical properties such as ...
Part
(Built-in Mathematica Symbol) expr[[i]] or Part[expr, i] gives the i\[Null]^th part of expr. expr[[-i]] counts from the end. expr[[i, j, ...]] or Part[expr, i, j, ...] is equivalent to expr[[i]][[j]] .... ...
Mathematica has special sparse-array technology for efficiently handling arrays with literally astronomical numbers of elements when only a small fraction of the elements are ...
The fundamental operation that Mathematica performs is evaluation. Whenever you enter an expression, Mathematica evaluates the expression, then returns the result. Evaluation ...
GUIResolve[src] resolves an interface definition to its top-level completely loaded widget and enclosing widgets.GUIResolve[src, args] passes arguments to the interface ...
Even though the GUIKit widget expression was designed with user interface issues in mind, you can construct object trees unrelated to user interface widgets and still take ...
InverseErf[s] gives the inverse error function obtained as the solution for z in s = erf(z).
Method
(Built-in Mathematica Symbol) Method is an option for various algorithm-intensive functions that specifies what internal methods they should use.
NevilleThetaC[z, m] gives the Neville theta function \[CurlyTheta]_c (z \[VerticalSeparator] m).