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...

Sierpiński carpet. It is also related to the Cantor set. With Arthur Cayley, Menger is considered one of the founders of distance geometry; especially by...

form. Mathematics portal Cauchy determinant Cayley–Menger determinant Dieudonné determinant Slater determinant Determinantal conjecture Lang 1985, §VII.1...

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

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

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 tetrahedra...

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

{\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 | ....

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...

status unknown (link) Audet, Daniel (May 2011). "Déterminants sphérique et hyperbolique de Cayley-Menger" (PDF). Bulletin AMQ. Lindelof, L. (1867). "Sur...

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...

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

groups) Cayley–Bacharach theorem (projective geometry) Cayley–Hamilton theorem (Linear algebra) Cayley–Salmon theorem (algebraic surfaces) Cayley's theorem...

Scheinerman's conjecture (Jeremie Chalopin and Daniel Gonçalves, 2009) Erdős–Menger conjecture (Ron Aharoni, Eli Berger 2007) Road coloring conjecture (Avraham...

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...

Native Americans leaving the reservation. JPL · 16750 16755 Cayley 1996 RE1 Arthur Cayley (1821–1895), an English mathematician who started out as a practicing...

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