Degeneracy, degenerate, or degeneration may refer to:

Arts and entertainment

* ''Degenerate'' (album), a 2010 album by the British band Trigger the Bloodshed *

Degenerate art Degenerate art (german: Entartete Kunst was a term adopted in the 1920s by the Nazi Party in Germany to describe modern art. During the dictatorship of Adolf Hitler, German modernist art, including many works of internationally renowned artists, ...

, a term adopted in the 1920s by the Nazi Party in Germany to describe modern art **

Decadent movement The Decadent movement (Fr. ''décadence'', “decay”) was a late-19th-century artistic and literary movement, centered in Western Europe, that followed an aesthetic ideology of excess and artificiality. The Decadent movement first flourishe ...

, often associated with degeneracy * Dégénération, a single by Mylène Farmer * ''Degeneration'' (Nordau), an 1892 book by Max Nordau * '' Resident Evil: Degeneration'', a 2008 film * "Degenerate", a song by Blink-182 from the album '' Dude Ranch'' * "Degenerates", a song by A Day to Remember from the album ''

You're Welcome You're welcome is a phrase used to acknowledge an expression of gratitude. You're Welcome may also refer to: * ''You're Welcome'' (Wavves album), 2017, or the title track * ''You're Welcome'' (A Day to Remember album), 2021 * ''You're Welcome ...

Science, mathematics, and medicine

Mathematics

Degeneracy (mathematics) 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 class, and the term degeneracy is the condition of being a degenerate case. T ...

, a limiting case in which a class of object changes its nature so as to belong to another, usually simpler, class *

Degeneracy (graph theory) 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 ...

, a measure of the sparseness of a graph * Degeneration (algebraic geometry), the act of taking a limit of a family of varieties *

Degenerate form In mathematics, specifically linear algebra, a degenerate bilinear form on a vector space ''V'' is a bilinear form such that the map from ''V'' to ''V''∗ (the dual space of ''V'' ) given by is not an isomorphism. An equivalent definiti ...

, bilinear form ''f''(''x'', ''y'') on a vector space ''V'' is one such that the map from ''V'' to ''V*'' (the dual space of ''V'') given by is not an isomorphism *

Degenerate distribution In mathematics, a degenerate distribution is, according to some, a probability distribution in a space with support only on a manifold of lower dimension, and according to others a distribution with support only at a single point. By the latter d ...

, the probability distribution of a random variable which only takes a single value *

Degenerate conic In geometry, a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible variety, irreducible curve. This means that the defining equation is factorable over the comp ...

, a conic (a second-degree plane curve, the points of which satisfy an equation that is quadratic in one or the other or both variables) that fails to be an irreducible curve *

Degenerate dimension According to Ralph Kimball, in a data warehouse, a degenerate dimension is a dimension key in the fact table that does not have its own dimension table, because all the interesting attributes have been placed in analytic dimensions. The term "degen ...

, a dimension key in the fact table that does not have its own dimension table, because all the interesting attributes have been placed in analytic dimensions. The term "degenerate dimension" was originated by Ralph Kimball

Quantum mechanics

Degenerate energy level Degeneracy, degenerate, or degeneration may refer to: Arts and entertainment * ''Degenerate'' (album), a 2010 album by the British band Trigger the Bloodshed * Degenerate art, a term adopted in the 1920s by the Nazi Party in Germany to descr ...

s, different arrangements of a physical system which have the same energy *

Degenerate matter Degenerate matter is a highly dense state of fermionic matter in which the Pauli exclusion principle exerts significant pressure in addition to, or in lieu of, thermal pressure. The description applies to matter composed of electrons, protons, n ...

, a very highly compressed phase of matter which resists further compression because of quantum mechanical effects *

Degenerate semiconductor A degenerate semiconductor is a semiconductor with such a high level of doping that the material starts to act more like a metal than as a semiconductor. Unlike non-degenerate semiconductors, these kind of semiconductor do not obey law of mass act ...

, a semiconductor with such a high doping-level that the material starts to act more like a metal than as a semiconductor

Other uses in science and medicine

Degeneracy (biology) Within biological systems, degeneracy occurs when structurally dissimilar components/modules/pathways can perform similar functions (i.e. are effectively interchangeable) under certain conditions, but perform distinct functions in other conditions. ...

, the ability of elements that are structurally different to perform the same function or yield the same output **

Codon degeneracy Degeneracy or redundancy of codons is the redundancy of the genetic code, exhibited as the multiplicity of three-base pair codon combinations that specify an amino acid. The degeneracy of the genetic code is what accounts for the existence of syno ...

, in genetics *

Degeneration (medicine) Degeneration is deterioration in the medical sense. Generally, it is the change from a higher to a lower form. More specifically, it is the change of tissue to a lower or less functionally active form. *True degeneration: when there is actual ...

Degenerative disease Degenerative disease is the result of a continuous process based on degenerative cell changes, affecting tissues or organs, which will increasingly deteriorate over time. In neurodegenerative diseases, cells of the central nervous system stop wo ...

, a disease that causes deterioration over time *

Social degeneration Social degeneration was a widely influential concept at the interface of the social and biological sciences in the 18th and 19th centuries. During the 18th century, scientific thinkers including Georges-Louis Leclerc, Comte de Buffon, Johann Fr ...

, a late 19th–early 20th century sociological concept

Other uses

* Degeneration, a type of