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See all on WikipediaIn mathematics, a degenerate case is a limiting case of a class of objects which appears to be qualitatively different from (and usually simpler than) the rest of the class; "degeneracy" is the condition of being a degenerate case. The definitions of many classes of composite or structured objects often … See more
Conic section
A degenerate conic is a conic section (a second-degree plane curve, defined by a polynomial equation of … See moreWikipedia text under CC-BY-SA license 
In graph theory, a k-degenerate graph is an undirected graph in which every subgraph has a vertex of degree at most k: that is, some vertex in the subgraph touches k or fewer of the subgraph's edges. The degeneracy of a graph is the smallest value of k for which it is k-degenerate. The degeneracy of a graph is a measure of how sparse it is, and is within a constant factor of other sparsity me…
Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 11 mins
WEBDegeneracy (mathematics), a limiting case in which a class of object changes its nature so as to belong to another, usually simpler, class. Degeneracy (graph theory), a measure of …
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WEBApr 10, 2024 · In mathematics, a degenerate case is a limiting case of a class of objects which appears to be qualitatively different from (and usually simpler than) the rest of the …
WEBMar 19, 2023 · 1. I've come across the term "degenerate triangles" in my studies of mathematics and geometry, and I'm curious about why this concept was invented. …
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WEBI'm trying to understand Wikipedia's definition of "Degeneracy (graph theory)" which says: In graph theory, a k-degenerate graph is an undirected graph in which every subgraph …
WEBJun 5, 2020 · A partial differential equation whose type degenerates in certain points of the domain of definition of the equation or at the boundary of this domain. The type of an …
WEBJan 20, 2020 · A k k -degenerate graph is an undirected graph in which every induced subgraph has minimum degree at most k k. The degeneracy of a graph is the smallest k …
WEBThe number of different states corresponding to a particular energy level is known as the degree of degeneracy (or simply the degeneracy) of the level. It is represented mathematically by the Hamiltonian for the system …
WEBJul 26, 2024 · Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory …
Degenerate Conics I: Mystery of the Missing Case
WEBFeb 18, 2022 · Degenerate cases are instances of a concept that are just on the edge of fitting its definition. They occur when we stretch a definition to its limits, at which point some of the original properties remain, but …
linear algebra - Mathematics Stack Exchange
WEBA matrix is degenerate if and only if the determinants of all its principal submatrices are non-zero (where the principal submatrices are the square matrices obtained by choosing the …
degeneracy - Wiktionary, the free dictionary
WEBJun 2, 2024 · (mathematics) A limiting case of a class of objects which appears to be qualitatively different from (and usually simpler than) the rest of the class.
Degeneration (algebraic geometry) - Wikipedia
WEBIn algebraic geometry, a degeneration (or specialization) is the act of taking a limit of a family of varieties. Precisely, given a morphism. of a variety (or a scheme) to a curve C …
Degeneracy (mathematics) - Infogalactic: the planetary …
WEBIn mathematics, a degenerate case is a limiting case in which an element of a class of objects is qualitatively different from the rest of the class and hence belongs to another, …
Degenerate matrix - Encyclopedia of Mathematics
WEBFeb 7, 2011 · A square matrix whose determinant is equal to zero. How to Cite This Entry: Degenerate matrix. Encyclopedia of Mathematics. URL: …
Trivial vs degenerate cases - Mathematics Stack Exchange
WEBJul 18, 2017 · en.wikipedia.org/wiki/Degeneracy_(mathematics) " In mathematics, a degenerate case is a limiting case in which an element of a class of objects is …
Degenerate distribution - Wikipedia
WEBIn mathematics, a degenerate distribution (sometimes also Dirac distribution) is, according to some, a probability distribution in a space with support only on a manifold of lower …
control system - Degenerate circuit concept and its theoretical …
WEBAug 29, 2018 · This meaning of degenerate is discussed in more detail at: Degeneracy (mathematics) on Wikipedia. There is another related meaning of degenerate that you …
Degenerate triangle - Wikipedia
WEBDegenerate triangle or degenerate triangles may refer to: Degeneracy (mathematics)#Triangle, a triangle with collinear vertices and zero area in …
What is the difference between a - Mathematics Stack Exchange
WEBMore strongly, the degeneracy of a graph equals its maximum vertex degree if and only if at least one of the connected components of the graph is regular of maximum degree. …
تبهگنی (ریاضیات) - ویکیپدیا، دانشنامهٔ آزاد
WEBواگِنی یا تبهگنی (به انگلیسی: degeneracy) در ریاضیات حالتی است که در آن عنصری از یک خانواده، چنان با عناصر دیگر آن خانواده متفاوت است که به خانوادهای دیگر و معمولاً سادهتر تعلق مییابد. مثلاً در مقاطع مخروطی ، دایرهای که شعاع آن صفر …
Definition of degeneracy - Mathematics Stack Exchange
WEB2. A graph G G is always Δ(G) Δ ( G) -degenerate. Nevertheless, it can also be k k -degenerate for k < Δ(G) k < Δ ( G). Wikipedia lists some examples, the simplest of them …
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