The Padé approximation is a rational function that can be thought of as a generalization of a Taylor polynomial. A rational function is the ratio of polynomials. Because ...

This constructs the sum ∑_(i=1)^7 (x^i)/(i) . You can leave out the lower limit if it is equal to 1. This makes i increase in steps of 2, so that only odd-numbered values are ...

Special-purpose multiprocessing hardware comes in two types, shared memory and distributed memory. In a shared-memory machine, all processors have access to a common main ...

Gather[list] gathers the elements of list into sublists of identical elements.Gather[list, test] applies test to pairs of elements to determine if they should be considered ...

The Mathematica function NDSolve is a general numerical differential equation solver. It can handle a wide range of ordinary differential equations (ODEs) as well as some ...

DiscreteRatio[f, i] gives the discrete ratio f(i + 1)/f(i).DiscreteRatio[f, {i, n}] gives the multiple discrete ratio.DiscreteRatio[f, {i, n, h}] gives the multiple discrete ...

Root[f, k] represents the exact k\[Null]^th root of the polynomial equation f[x] == 0. Root[{f, x_0}] represents the exact root of the general equation f[x] == 0 near x = ...

Mesh is an option for Plot3D, DensityPlot, and other plotting functions that specifies what mesh should be drawn.

Cashflow[{c_0, c_1, ..., c_n}] represents a series of cash flows occurring at unit time intervals.Cashflow[{c_0, c_1, ..., c_n}, q] represents cash flows occurring at time ...

Subresultants[poly_1, poly_2, var] generates a list of the principal subresultant coefficients of the polynomials poly_1 and poly_2 with respect to the variable var.