former context. A permutation matrix is an alternating sign matrix, and an alternating sign matrix is a permutation matrix if and only if no entry equals...

MathWorld. Weisstein, Eric W. "Alternating Sign Matrix Conjecture". MathWorld. Weisstein, Eric W. "Refined Alternating Sign Matrix Conjecture". MathWorld. Weisstein...

entry in each diagonal and antidiagonal Alternating sign matrix Exchange matrix Generalized permutation matrix Rook polynomial Permanent Artin, Michael...

their columns Alternating sign matrix, a matrix of 0, 1, and −1 coefficients with the nonzeros in each row or column alternating between 1 and −1 and summing...

physics: Wigner D-matrix, represent spins and rotations of quantum states and tensor operators. Higher spin alternating sign matrix Spin group Spin (physics)#Higher...

In mathematics, a higher spin alternating sign matrix is a generalisation of the alternating sign matrix (ASM), where the columns and rows sum to an integer...

treatment in the book Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture; an alternative combinatorial proof was given in a paper...

matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries...

Abnormal Situation Management Consortium, in alarm management Alternating sign matrix in combinatorics American system of manufacturing Search for "asm"...

condensation, a method of evaluating determinants, led them to the alternating sign matrix conjecture, now a theorem. The discovery in the 1990s of additional...

lemma and Shelah cardinal. Development of the first proof of the alternating sign matrix conjecture. Development of Zig-zag product of graphs, a method...

Maksim Razumaw (born 1977), Belarusian professional footballer Alternating sign matrix, a mathematical model related to the Razumov–Stroganov conjecture...

In mathematics, the Hessian matrix, Hessian or (less commonly) Hesse matrix is a square matrix of second-order partial derivatives of a scalar-valued function...

example of applying combinatorics to physics is the enumeration of alternating sign matrix in the solution of ice-type models. The corresponding ice-type...

square matrix. The determinant of a matrix A is commonly denoted det(A), det A, or |A|. Its value characterizes some properties of the matrix and the...

Fred Galvin Dinitz conjecture combinatorics 1995 Doron Zeilberger Alternating sign matrix conjecture, enumerative combinatorics 1996 Vladimir Voevodsky Milnor...

bracket is an alternating bilinear map. The determinant of a matrix is a multilinear alternating map of the rows or columns of the matrix. If any component...

eigenvalues of a Hermitian matrix to be real, the positivity of eigenvalues can be checked using Descartes' rule of alternating signs when the characteristic...

In mathematics, a matrix (pl.: matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows...

Dodgson's method, a method of evaluating determinants, led them to the Alternating Sign Matrix conjecture, now a theorem. Heinrich Hertz (1857–1894): German physicist...

In mathematical analysis, the alternating series test proves that an alternating series is convergent when its terms decrease monotonically in absolute...

In mathematics, an alternating series is an infinite series of terms that alternate between positive and negative signs. In capital-sigma notation this...

also alternating. In fact, this map is the "most general" alternating operator defined on V k ; {\displaystyle V^{k};} given any other alternating operator...

vector calculus, the Jacobian matrix (/dʒəˈkoʊbiən/, /dʒɪ-, jɪ-/) of a vector-valued function of several variables is the matrix of all its first-order partial...

of Cutblock". Bressoud, David M.; Propp, James (1999). "How the alternating sign matrix conjecture was solved" (PDF). Notices of the American Mathematical...

In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix generated from A by removing one or more of its rows and columns...

σ is odd. The signature defines the alternating character of the symmetric group Sn. Another notation for the sign of a permutation is given by the more...

rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention below, the matrix R = [...

theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian, is a matrix representation of a...

mathematics, a unimodular matrix M is a square integer matrix having determinant +1 or −1. Equivalently, it is an integer matrix that is invertible over...