Summary of New Features in 7.0 (Mathematica Guide)

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 (Built-in Mathematica Symbol)

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 (Built-in Mathematica Symbol)

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 (Built-in Mathematica Symbol)

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 ...

Numerical Nonlinear Global Optimization ... (Mathematica Tutorial)

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 (Built-in Mathematica Symbol)

JacobiSN[u, m] gives the Jacobi elliptic function sn(u | m).

JacobiCN (Built-in Mathematica Symbol)

JacobiCN[u, m] gives the Jacobi elliptic function cn(u | m).

JacobiDN (Built-in Mathematica Symbol)

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 ...