PiecewiseExpand[expr] expands nested piecewise functions in expr to give a single piecewise function. PiecewiseExpand[expr, assum] expands piecewise functions using ...

NProduct[f, {i, i_min, i_max}] gives a numerical approximation to the product \[Product]i = i_min i_max f.NProduct[f, {i, i_min, i_max, di}] uses a step di in the product.

CanberraDistance[u, v] gives the Canberra distance between vectors u and v.

ImageAdd[image, x] adds an amount x to each channel value in image.ImageAdd[image_1, image_2] gives an image in which each pixel is the sum of the corresponding pixels in ...

MantissaExponent[x] gives a list containing the mantissa and exponent of a number x. MantissaExponent[x, b] gives the base-b mantissa and exponent of x.

ReplaceList[expr, rules] attempts to transform the entire expression expr by applying a rule or list of rules in all possible ways, and returns a list of the results ...

A Riccati equation is a first-order equation of the form This equation was used by Count Riccati of Venice (1676–1754) to help in solving second-order ordinary differential ...

Most mathematical functions in Mathematica are set up to apply themselves separately to each element in a list. This is true in particular of all functions that carry the ...

Built into Mathematica are a large number of special characters intended for use in mathematical and other notation. "Listing of Named Characters" gives a complete listing. ...

A symmetric polynomial in variables x_1,…,x_n is a polynomial that is invariant under arbitrary permutations of x_1,…,x_n. Polynomials are called elementary symmetric ...