invariant theory, an invariant of a binary form is a polynomial in the coefficients of a binary form in two variables x and y that remains invariant under...

article binary quadratic form discusses binary forms of degree two. The article invariant of a binary form discusses binary forms of higher degree. Binary form...

Invariant of a binary form Invariant measure First and second fundamental theorems of invariant theory Borel, Armand (2001). Essays in the History of...

This page is a glossary of terms in invariant theory. For descriptions of particular invariant rings, see invariants of a binary form, symmetric polynomials...

and the Hessian for binary quartic forms and cubic forms. In 1868 Gordan proved that the graded algebra of invariants of a binary form over the complex numbers...

In mathematics, a binary quadratic form is a quadratic homogeneous polynomial in two variables q ( x , y ) = a x 2 + b x y + c y 2 , {\displaystyle q(x...

_{X}Y).} Mathematics portal The determinant of the Hessian matrix is a covariant; see Invariant of a binary form Polarization identity, useful for rapid calculations...

He was called "the king of invariant theory". His most famous result is that the ring of invariants of binary forms of fixed degree is finitely generated...

binary, and ternary and have the following explicit form: q ( x ) = a x 2 (unary) q ( x , y ) = a x 2 + b x y + c y 2 (binary) q ( x , y , z ) = a x...

computing invariants of algebraic forms. It is based on treating the form as if it were a power of a degree one form, which corresponds to embedding a symmetric...

matrices Covariance and contravariance of vectors Evectant Inclusion–exclusion principle Invariant of a binary form Sylvester's construction Sylvester pentahedron...

powers of linear forms. Ternary cubic Invariants of a binary form Cohen, Teresa (1919), "Investigations on the Plane Quartic", American Journal of Mathematics...

case of fillings of genus =1. Hyperelliptic curves of given genus g have a moduli space, closely related to the ring of invariants of a binary form of degree...

of binary p-forms (over the complex numbers) that is S L 2 ( C ) {\displaystyle SL_{2}(\mathbb {C} )} -equivariant. Module of covariants Invariant of...

Ternary quartic Invariants of a binary form Cayley, Arthur (1881), "On the 34 Concomitants of the Ternary Cubic", American Journal of Mathematics, 4 (1):...

In mathematics, the Arf invariant of a nonsingular quadratic form over a field of characteristic 2 was defined by Turkish mathematician Cahit Arf (1941)...

coordinates of F23 2 which leave G23 invariant), is the Mathieu group M 23 {\displaystyle M_{23}} . The automorphism group of the extended binary Golay code...

the invariant measure of the system's transfer operator. NIST Dictionary of Algorithms and Data Structures: binary GCD algorithm Cut-the-Knot: Binary Euclid's...

Lines of liquidus and solidus appear in the phase diagrams of binary solid solutions, as well as in eutectic systems away from the invariant point. For...

feature vector and implement a simple rotation invariant descriptor. This idea is motivated by the fact that some binary patterns occur more commonly...

a red–black tree is a self-balancing binary search tree data structure noted for fast storage and retrieval of ordered information. The nodes in a red-black...

context. However, while moment invariants are invariants that are formed from moments, the only moments that are invariants themselves are the central moments...

(translation invariant) operator, equivalent to Minkowski addition. A binary image is viewed in mathematical morphology as a subset of a Euclidean space...

unconstrained binary optimization (QUBO), also known as unconstrained binary quadratic programming (UBQP), is a combinatorial optimization problem with a wide...

punched cards and the corresponding six-bit binary-coded decimal code used with most of IBM's computer peripherals of the late 1950s and early 1960s. It is...

invariant on T. The variance of a C# generic interface is declared by placing the out (covariant) or in (contravariant) attribute on (zero or more of)...

union of the 5 planes where these 5 linear forms vanish is called the Sylvester pentahedron. Ternary cubic Ternary quartic Invariants of a binary form Clebsch...

forms. catalecticant A catalecticant is an invariant of a binary form of degree 2n that vanishes when the form is a sum of powers of n linear forms....

Adelson-Velsky and Landis) is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one;...

digital invariant function for p = 2 {\displaystyle p=2} . The origin of happy numbers is not clear. Happy numbers were brought to the attention of Reg Allenby...