Structural operations on polynomials. Here is a polynomial in one variable. Expand expands out products and powers, writing the polynomial as a simple sum of terms.

InverseFunction[f] represents the inverse of the function f, defined so that InverseFunction[f][y] gives the value of x for which f[x] is equal to y. InverseFunction[f, n, ...

PossibleZeroQ[expr] gives True if basic symbolic and numerical methods suggest that expr has value zero, and gives False otherwise.

The functionality of PrimitiveElement is now available in the newly added built-in Mathematica kernel function ToNumberField.

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...

This section is designed to discuss how to make compiled functions run efficiently. It will cover features that make them run faster, as well as problems that can make them ...

CreatePalette[expr] creates a palette notebook containing expr, and opens it in the front end.CreatePalette[{expr_1, expr_2, ...}] creates and opens a palette notebook ...

DocumentNotebook[{cell_1, cell_2, ...}] represents a complete document notebook in the Mathematica front end.

NHoldRest is an attribute which specifies that all but the first argument to a function should not be affected by N.

Reals represents the domain of real numbers, as in x \[Element] Reals.