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Degeneracy (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 the sparseness of a graph
A degenerate conic is a conic section (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve. A point is a degenerate circle, namely one with radius 0. [1] The line is a degenerate case of a parabola if the parabola resides on a tangent plane.
Conversely, two or more different states of a quantum mechanical system are said to be degenerate if they give the same value of energy upon measurement. The number of different states corresponding to a particular energy level is known as the degree of degeneracy (or simply the degeneracy) of the level.
Examples of degeneracy are found in the genetic code, when many different nucleotide sequences encode the same polypeptide; in protein folding, when different polypeptides fold to be structurally and functionally equivalent; in protein functions, when overlapping binding functions and similar catalytic specificities are observed; in metabolism, when multiple, parallel biosynthetic and ...
Kant also arrived at a meaning of "race" from this definition of degeneration. [14] He claimed that races developed when degenerations were preserved over a long period of time. [14] A group could only constitute a race if breeding with a different degeneration resulted in "intermediate offspring."
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 curve.This means that the defining equation is factorable over the complex numbers (or more generally over an algebraically closed field) as the product of two linear polynomials.
"The belted waist creates definition while the high-knee boots balance the volume. This look is a great proportion play." 2. Lizzo's Monochromatic Moment. Raymond Hall / Getty Images
Degenerative disease is the result of a continuous process based on degenerative cell changes, affecting tissues or organs, which will increasingly deteriorate over time. [ 1 ] In neurodegenerative diseases , cells of the central nervous system stop working or die via neurodegeneration .