Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...

InterpolatingPolynomial[{f_1, f_2, ...}, x] constructs an interpolating polynomial in x which reproduces the function values f_i at successive integer values 1, 2, ... of x. ...

Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in ...

ArgMin[f, x] gives a position x_min at which f is minimized.ArgMin[f, {x, y, ...}] gives a position {x_min, y_min, ...} at which f is minimized.ArgMin[{f, cons}, {x, y, ...}] ...

Building on Mathematica's unified symbolic architecture, Mathematica 7 introduces several major new integrated forms of data manipulation—including large-scale support for ...

Functions for creating power series. Here is the power series expansion for exp(x) about the point x0 to order x^4. Here is the series expansion of exp(x) about the point ...

Building on the concept of symbolic data description, Mathematica 6.0 introduced the major new "elements" framework for handling import and export of data, in nearly a ...

FinancialData["name"] gives the last known price or value for the financial entity specified by " name".FinancialData["name", start] gives a list of dates and daily closing ...

Mathematica includes functions for performing a variety of specific algebraic transformations. Some are algorithmically straightforward; others include highly sophisticated ...

WaveletPhi[wave, x] gives the scaling function \[Phi](x) for the symbolic wavelet wave evaluated at x.WaveletPhi[wave] gives the scaling function as a pure function.