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 ?
By means of classical algebraic invariant theory [4], Hu derived seven functions of normalized central moments that are invariant with respect to translation, scale, and rotation.
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
An approach to studying combinatorial properties of a graph is to examine some of algebraic invariants of the edge ideal.
Our main result expresses certain algebraic invariants of B in terms of the cohomology of simplicial complexes associated with its R-poset.
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.
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.
The first major step in classifying four-manifolds was a proof that certain types could be identified on the basis of algebraic invariants called quadratic forms.

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