algebraic invariant

algebraic invariant

[¦al·jə¦brā·ik in′ver·ē·ənt]
(mathematics)
A polynomial in coefficients of a quadratic or higher form in a collection of variables whose value is unchanged by a specified class of linear transformations of the variables.
References in periodicals archive ?
About algebraic invariant curves, as far as we know, there are few papers to consider switching system with algebraic invariant curves.
Flusser and Suk derived a set of four affine moment invariants based on classical algebraic invariant theory [2]:
The general linear model is the result of emergence of theory of algebraic invariant in 1800.
Knots, Links, Spatial Graphs, and Algebraic Invariants
These algorithms are based on computing algebraic invariants, modulo the group of affine transformations and time rescaling, of the polynomial vector fields subjected to the specific problems involved.
An approach to studying combinatorial properties of a graph is to examine some of algebraic invariants of the edge ideal.
The algebraic invariants could be used when the whole shapes of the logos were given, while the differential invariants could be used when the logos had only a part.
Our main result expresses certain algebraic invariants of B in terms of the cohomology of simplicial complexes associated with its R-poset.
The second is the differential invariants approach based on the representation of the canonical forms in terms of first-order differential and algebraic invariants.
Chapter 9 begins with a survey of Jules Vuillemin's approach to the philosophy of mathematics and then proceeds to examine De Rham's theorem, which, by employing multiple modes of representation, demonstrates an isomorphism between two sets of algebraic invariants associated with a smoothly triangulated manifold.
It surveys several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.
This discovery led to the formulation of a host of new algebraic invariants (or knot polynomials), computed from knot diagrams, that distinguish among knots more effectively than earlier schemes (SN: 10/26/85, p.266), which sometimes gave the same label to knots known on other grounds to be different.

Full browser ?