Probability[pred, x \[Distributed] dist] gives the probability for an event that satisfies the predicate pred under the assumption that x follows the probability distribution ...

Reduce[expr, vars] reduces the statement expr by solving equations or inequalities for vars and eliminating quantifiers. Reduce[expr, vars, dom] does the reduction over the ...

Slider2D[{x, y}] represents a 2D slider with settings x and y in the range 0 to 1. Slider2D[Dynamic[pt]] takes the setting to be the dynamically updated current value of pt, ...

EulerSum[f, {i, i_min, i_max}] gives a numerical approximation to the sum \[Sum]i = i_min i_max f using Euler's transformation.EulerSum[f, {i, i_min, i_max, di}] uses a step ...

BesselJZero[n, k] represents the k\[Null]^th zero of the Bessel function J_n (x).BesselJZero[n, k, x_0] represents the k\[Null]^th zero greater than x_0.

FromDigits[list] constructs an integer from the list of its decimal digits. FromDigits[list, b] takes the digits to be given in base b. FromDigits["string"] constructs an ...

LowerTriangularize[m] gives a matrix in which all but the lower triangular elements of m are replaced with zeros. LowerTriangularize[m, k] replaces with zeros only the ...

NumericFunction is an attribute that can be assigned to a symbol f to indicate that f[arg_1, arg_2, ...] should be considered a numeric quantity whenever all the arg_i are ...

UpperTriangularize[m] gives a matrix in which all but the upper triangular elements of m are replaced with zeros. UpperTriangularize[m, k] replaces with zeros only the ...

There are four major areas in the study of ordinary differential equations that are of interest in pure and applied science. Of these four areas, the study of exact solutions ...