Casoratian[{y_1, y_2, ...}, n] gives the Casoratian determinant for the sequences y_1, y_2, ... depending on n.Casoratian[eqn, y, n] gives the Casoratian determinant for the ...
SumConvergence[f, n] gives conditions for the sum \[Sum]_n^\[Infinity] f to be convergent.SumConvergence[f, {n_1, n_2, ...}] gives conditions for the multiple sum \[Sum]_n ...
Wronskian[{y_1, y_2, ...}, x] gives the Wronskian determinant for the functions y_1, y_2, ... depending on x.Wronskian[eqn, y, x] gives the Wronskian determinant for the ...
SymmetricPolynomial[k, {x_1, ..., x_n}] gives the k\[Null]^th elementary symmetric polynomial in the variables x_1, ..., x_n.
SymmetricReduction[f, {x_1, ..., x_n}] gives a pair of polynomials {p, q} in x_1, ..., x_n such that f == p + q, where p is the symmetric part and q is the ...
PolynomialReduce[poly, {poly_1, poly_2, ...}, {x_1, x_2, ...}] yields a list representing a reduction of poly in terms of the poly_i. The list has the form {{a_1, a_2, ...}, ...
ToRules
(Built-in Mathematica Symbol) ToRules[eqns] takes logical combinations of equations, in the form generated by Roots and Reduce, and converts them to lists of rules, of the form produced by Solve.
Mathematica has many powerful features which enable you to solve many kinds of equations.
Variance[list] gives the sample variance of the elements in list. Variance[dist] gives the variance of the symbolic distribution dist.
The arithmetic used by Mathematica is a mixture of variable-precision software arithmetic and whatever is provided by the manufacturer of the floating-point hardware (or the ...