Algebraics (Built-in Mathematica Symbol)

Algebraics represents the domain of algebraic numbers, as in x \[Element] Algebraics.

Polynomial Equations (Mathematica Guide)

Packed into functions like Solve and Reduce are a wealth of sophisticated algorithms, many created specifically for Mathematica. Routinely handling both dense and sparse ...

Picking Out Pieces of Algebraic ... (Mathematica Tutorial)

Functions to pick out pieces of polynomials. Here is an algebraic expression. This gives the coefficient of x in e.

Algebraic Calculations (Mathematica Overview)

Symbolic Computation Values for Symbols Transforming Algebraic Expressions

Algebraic Manipulation (Mathematica Overview)

Structural Operations on Polynomials Finding the Structure of a Polynomial Polynomial Orderings

Graph Covers and Independent Sets (Mathematica Guide)

A typical graph problem is that of matching different items, such as dates between men and women given preferences or teachers and courses with different preferences. These ...

Use Derivatives for Setting Up ... (Mathematica How To)

Mathematica 's functions for solving differential equations can be applied to many different classes of differential equations, including ordinary differential equations ...

AlgebraicUnitQ (Built-in Mathematica Symbol)

AlgebraicUnitQ[a] yields True if a is an algebraic unit, and yields False otherwise.

GenericCylindricalDecomposition (Built-in Mathematica Symbol)

GenericCylindricalDecomposition[ineqs, {x_1, x_2, ...}] finds the full-dimensional part of the decomposition of the region represented by the inequalities ineqs into ...

Polynomial Systems (Mathematica Guide)

Mathematica's handling of polynomial systems is a tour de force of algebraic computation. Building on mathematical results spanning more than a century, Mathematica for the ...