In linear algebra, geometry, and trigonometry, the Cayley–Menger determinant is a formula for the content, i.e. the higher-dimensional volume, of a n...

Cauchy determinant Cayley–Menger determinant Dieudonné determinant Slater determinant Determinantal conjecture Lang 1985, §VII.1 "Determinants and Volumes"...

characteristic mathematical expressions appearing in those definitions are Cayley–Menger determinants. He was an active participant of the Vienna Circle, which had...

\mathbb {R} ^{k}} must be "flat". Cayley–Menger determinants, named after Arthur Cayley and Karl Menger, are determinants of matrices of distances between...

{\displaystyle c^{2}} ⁠. The same relation can be expressed using the Cayley–Menger determinant, − 16 A 2 = | 0 a 2 b 2 1 a 2 0 c 2 1 b 2 c 2 0 1 1 1 1 0 | ....

him: Cayley's theorem Cayley–Hamilton theorem in linear algebra Cayley–Bacharach theorem Grassmann–Cayley algebra Cayley–Menger determinant Cayley diagrams...

vertices of a tetrahedron the volume can be computed using the Cayley–Menger determinant: 288 ⋅ V 2 = | 0 1 1 1 1 1 0 d 12 2 d 13 2 d 14 2 1 d 12 2 0 d...

Antonio Texas Menger sponge, a fractal curve Menger's theorem Menger–Urysohn dimension; see Inductive dimension Cayley–Menger determinant; see Distance...

common way of computing the volume of the simplex is via the Cayley–Menger determinant, which works even when the n-simplex's vertices are in a Euclidean...

1\}\}} This must be supplemented with the condition that the Cayley–Menger determinant is zero for any set of points which forms a (D + 1) simplex in...

for every three of those points A, B, C, the following determinant of a Cayley–Menger determinant is zero (with d(AB) meaning the distance between A and...

algebra Cayley–Klein metric Cayley–Klein model of hyperbolic geometry Cayley–Menger determinant Cayley–Purser algorithm Cayley's formula Cayley's hyperdeterminant...

side lengths a, b, c, d of a quadrilateral are related by the Cayley-Menger determinant, as follows: det [ 0 a 2 p 2 d 2 1 a 2 0 b 2 q 2 1 p 2 b 2 0 c...

right-angle corners can also be obtained as a special case from the Cayley–Menger determinant formula. De Gua's theorem can also be generalized to arbitrary...

Discriminant analysis Dimensionality reduction Distance geometry Cayley–Menger determinant Sammon mapping Iconography of correlations Mead, A (1992). "Review...

arbitrary dissimilarity matrix by a Euclidean distance matrix Cayley–Menger determinant Semidefinite embedding Dokmanic et al. (2015) So (2007) Maehara...

triangle). The result also follows from the observation that the Cayley–Menger determinant of the four coplanar circle centers is zero. Descartes' theorem...

theorem (combinatorics) MacMahon Master theorem (enumerative combinatorics) Menger's theorem (graph theory) Milliken–Taylor theorem (Ramsey theory) Milliken's...

construct Hadamard matrices. Hadamard's maximal determinant problem: what is the largest determinant of a matrix with entries all equal to 1 or −1? Hilbert's...

contributions to the theory of functions of complex variables, the study of determinants and the mathematical theory of elasticity. He introduced a higher level...