Search results
Results from the WOW.Com Content Network
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.
The character of Major-General Stanley was widely taken to be a caricature of the popular general Sir Garnet Wolseley.The biographer Michael Ainger, however, doubts that Gilbert intended a caricature of Wolseley, identifying instead the older General Henry Turner, an uncle of Gilbert's wife whom Gilbert disliked, as a more likely inspiration for the satire.
A k-degenerate graph has chromatic number at most k + 1; this is proved by a simple induction on the number of vertices which is exactly like the proof of the six-color theorem for planar graphs. Since chromatic number is an upper bound on the order of the maximum clique , the latter invariant is also at most degeneracy plus one.
Degenerate art, a term adopted in the 1920s by the Nazi Party in Germany to describe modern art Decadent movement, often associated with degeneracy; Dégénération, a single by Mylène Farmer; Degeneration, an 1892 book by Max Nordau; Resident Evil: Degeneration, a 2008 film "Degenerate", a song by Blink-182 from the album Dude Ranch
The degenerate univariate distribution can be viewed as the limiting case of a continuous distribution whose variance goes to 0 causing the probability density function to be a delta function at k 0, with infinite height there but area equal to 1. [citation needed] The cumulative distribution function of the univariate degenerate distribution is:
Psychiatrist Henry Maudsley initially argued that degenerate family lines would die out with little social consequence, but later became more pessimistic about the effects of degeneration on the general population; [15] Maudsley also warned against the use of the term "degeneration" in a vague and indiscriminate way.
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 ...
In quantum mechanics, an energy level is degenerate if it corresponds to two or more different measurable states of a quantum system. Conversely, two or more ...