The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...
RootSum
(Built-in Mathematica Symbol) RootSum[f, form] represents the sum of form[x] for all x that satisfy the polynomial equation f[x] == 0.
IntegerPartitions[n] gives a list of all possible ways to partition the integer n into smaller integers. IntegerPartitions[n, k] gives partitions into at most k integers. ...
Orthogonalize[{v_1, v_2, ...}] gives an orthonormal basis found by orthogonalizing the vectors v_i.Orthogonalize[{e_1, e_2, ...}, f] gives a basis for the e_i orthonormal ...
StreamDensityPlot[{{v_x, v_y}, s}, {x, x_min, x_max}, {y, y_min, y_max}] generates a stream plot of the vector field {v_x, v_y} as a function of x and y, superimposed on a ...
Here is one way to get multiple minima: call NMinimize multiple times with different random seeds, which will cause different optimization paths to be taken. This defines a ...
JacobiSN[u, m] gives the Jacobi elliptic function sn(u | m).
JacobiCN[u, m] gives the Jacobi elliptic function cn(u | m).
JacobiDN[u, m] gives the Jacobi elliptic function dn(u | m).
CDF
(Built-in Mathematica Symbol) CDF[dist, x] gives the cumulative distribution function for the symbolic distribution dist evaluated at x.CDF[dist, {x_1, x_2, ...}] gives the multivariate cumulative ...