warehouse, a degenerate dimension is a dimension key (primary key for a dimension table) in the fact table that does not have its own dimension table, because...

transaction item or line item because the degenerate dimension represents the unique identifier of the parent. Degenerate dimensions often play an integral role...

degeneracy, degenerate, or degenerative in Wiktionary, the free dictionary. Degeneracy, degenerate, or degeneration may refer to: Degenerate (album), a...

usual dimension or the cardinality of the object (or of some part of it) occur. For example, a triangle is an object of dimension two, and a degenerate triangle...

the parabola y = x2, which is a one-dimensional subset of the two-dimensional space.[citation needed] "Degenerate distribution - Encyclopedia of Mathematics"...

{H}}} has a degenerate eigenvalue E n {\displaystyle E_{n}} of degree gn, the eigenstates associated with it form a vector subspace of dimension gn. In such...

{b} \right|}}.} Minkowski spacetime is four-dimensional space with geometry defined by a non-degenerate pairing different from the dot product: a ⋅ b...

the conic as the intersection in three-dimensional space of a plane and a double cone, a conic is degenerate if the plane goes through the vertex of...

pseudo-Riemannian manifold. If V is finite-dimensional then, relative to some basis for V, a bilinear form is degenerate if and only if the determinant of the...

In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates)...

less than the radius. In the 2-dimensional case, a ball is called a disk. If a half-space is taken as a kind of degenerate ball (without a well-defined...

during which stars form from collapsing clouds of gas. In the subsequent Degenerate Era, the stars will have burnt out, leaving all stellar-mass objects as...

general neither. In dimension 3 and above these are the covers and quotients, while dimension 2 and below are somewhat degenerate; see specific articles...

majority of engineering applications of geometry). In this model, a degenerate dimension is added to the three Euclidean dimensions to form the algebra ⁠...

In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted E 2 {\displaystyle {\textbf {E}}^{2}} or E 2 {\displaystyle \mathbb {E}...

here. For an overview, Minkowski space is a 4-dimensional real vector space equipped with a non-degenerate, symmetric bilinear form on the tangent space...

Bose–Einstein condensates and Fermionic condensates (in extreme cold), neutron-degenerate matter (in extreme density), and quark–gluon plasma (at extremely high...

parameterize a 2-dimensional torus. Rings of constant ξ1 and ξ2 above form simple orthogonal grids on the tori. See image to right. In the degenerate cases, when...

global dimension 3 in the 1980s. Sklyanin algebras can be grouped into two different types, the non-degenerate Sklyanin algebras and the degenerate Sklyanin...

the three-dimensional space of Euclidean geometry, but in modern mathematics there are Euclidean spaces of any positive integer dimension n, which are...

normal distribution is degenerate and does not have a density. More precisely, it does not have a density with respect to k-dimensional Lebesgue measure (which...

revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle...

As zero-dimensional objects, points are usually taken to be the fundamental indivisible elements comprising the space, of which one-dimensional curves...

define a conic as a two-dimensional nondegenerate quadric. With this terminology there are no degenerate conics (only degenerate quadrics), but we shall...

More precisely, the index of a non-degenerate critical point p {\displaystyle p} of f {\displaystyle f} is the dimension of the largest subspace of the tangent...

Early-arriving fact – Measure – Dimension table – one of the set of companion tables to a fact table. Degenerate dimension – dimension key in the fact table that...

either degenerate in which case it has no faithful realizations, or every vertex-faithful realization is faithful. The apeirogon is not degenerate and thus...

An infinite-dimensional vector function is a function whose values lie in an infinite-dimensional topological vector space, such as a Hilbert space or...

coefficients). For two-dimensional surfaces (dimension D = 2) in three-dimensional space, there are exactly three non-degenerate cases: P ( X ) = { X 0...

there are no parallel lines. The last condition excludes the so-called degenerate cases (see below). The term "incidence" is used to emphasize the symmetric...