GroebnerBasis[{poly_1, poly_2, ...}, {x_1, x_2, ...}] gives a list of polynomials that form a Gröbner basis for the set of polynomials poly_i. GroebnerBasis[{poly_1, poly_2, ...

NotebookSelection[] represents the current selection in the current evaluation notebook in the front end.NotebookSelection[nb] represents the current selection associated ...

When you give a list of equations to Solve, it assumes that you want all the equations to be satisfied simultaneously. It is also possible to give Solve more complicated ...

CellularAutomaton[rule, init, t] generates a list representing the evolution of the cellular automaton with the specified rule from initial condition init for t steps. ...

SemialgebraicComponentInstances[ineqs, {x_1, x_2, ...}] gives at least one sample point in each connected component of the semialgebraic set defined by the inequalities ineqs ...

You can create and present slide shows directly from within Mathematica . Mathematica provides an integrated workflow from initial experimentation to final presentation. ...

UnsetShared[s_1, s_2, ...] stops the sharing of the variables or functions s_i among parallel kernels.UnsetShared[patt] stops the sharing of all variables and functions whose ...

PermutationGroup[{perm_1, ..., perm_n}] represents the group generated by multiplication of the permutations perm_1, ..., perm_n.

Mathematica represents vectors as lists, and never needs to distinguish between row and column cases. Vectors in Mathematica can always mix numbers and arbitrary symbolic or ...

Any Mathematica symbol can have both a variety of types of values, and a variety of independently settable attributes that define overall aspects of its behavior.