# Synonyms And Antonyms For Degeneracy

If the three vertices are pairwise distinct, it has two 0° angles and one one hundred eighty° angle. If two vertices are equal, it has one zero° angle and two undefined angles. A hyperbola can degenerate into two strains crossing at a point, through a household of hyperbolae having these strains as common asymptotes.

- In the case of a tetrahedron, this is equivalent to saying that all of its vertices lie in the identical plane, giving it a volume of zero.
- This will be the purpose for which there isn’t a general definition of degeneracy, despite the fact that the idea is widely used and outlined in every specific scenario.
- A degenerate conic is a conic part (a second-degree airplane curve, defined by a polynomial equation of diploma two) that fails to be an irreducible curve.
- Specifically, nefarious suggests flagrant breaching of time-honored laws and traditions of conduct.

an individual who has declined, as in morals or character, from a sort or normal thought of normal. Relationships of frequencies of codons for various amino acids in the genetic code and the noticed frequencies of amino acids in proteins of dwelling methods (drawn from Lewin’s”Genes IV”). If you discuss with the behaviour of a gaggle of people as degeneracy, you mean that you simply suppose it is surprising, immoral, or disgusting. The definition of an improvement is a rise in value, condition or high quality. The meanings of villainous and degenerate largely overlap; nonetheless, villainous applies to any evil, depraved, or vile conduct or characteristic.

## Degeneracy Synonym, Degeneracy Definition

In contexts where self-intersection is allowed, a sphere is a degenerate standard torus the place the axis of revolution passes through the middle of the producing circle, rather than outdoors it. A convex polyhedron is degenerate if either two adjacent sides are coplanar or two edges are aligned. In the case of a tetrahedron, this is equivalent to saying that each one of its vertices lie in the same plane, giving it a quantity of zero. A degenerate triangle has collinear vertices and 0 area, and thus coincides with a segment coated twice (if the three vertices aren’t all equal; in any other case, the triangle degenerates to a single point).

A circle could be considered a degenerate ellipse, because the eccentricity approaches 0. A line phase could be seen as a degenerate case of an ellipse during which the semiminor axis goes to zero, the foci go to the endpoints, and the eccentricity goes to one. The line is a degenerate case of a parabola if the parabola resides on a tangent aircraft. In inversive geometry, a line is a degenerate case of a circle, with infinite radius. A degenerate conic is a conic section (a second-diploma aircraft curve, defined by a polynomial equation of diploma two) that fails to be an irreducible curve.

### Synonyms & Antonyms Of Degenerate

DisclaimerAll content on this website, together with dictionary, thesaurus, literature, geography, and different reference knowledge is for informational purposes only. This info shouldn’t be thought of complete, updated, and is not meant to be used instead of a visit, consultation, or advice of a authorized, medical, or some other skilled. In some situations, the words vicious and degenerate are roughly equivalent. However, vicious could directly oppose virtuous in implying moral depravity, or could connote malignancy, cruelty, or destructive violence.

In quantum mechanics, any such multiplicity in the eigenvalues of the Hamiltonian operator offers rise to degenerate energy levels. Usually any such degeneracy signifies some underlying symmetry within the system. A convex polygon is degenerate if no less than two consecutive sides coincide a minimum of partially, or no less than one side has zero length, or no less than one angle is a hundred and eighty°. Thus a degenerate convex polygon of n sides seems like a polygon with fewer sides. In the case of triangles, this definition coincides with the one which has been given above. In mathematics, a degenerate case is a limiting case of a category of objects which seems to be qualitatively totally different from the remainder of the category, and the time period degeneracy is the condition of being a degenerate case.

## Antonyms Of Degenerate

The morale of the troopers degenerated, and they had been unable to struggle. The synonyms iniquitous and degenerate are typically interchangeable, however iniquitous implies absence of all indicators of justice or fairness. nice, wholesome, strong, noble, type, virtuous, good, enhance, honorable, rise, uncorrupted, well, aid, grow, recuperate, pure, incorruptible, assist, develop, upright, increase, construct, moral, Uncorrupt, clear, trustworthy, progress. The synonyms have been organized depending on the variety of charachters so that they are easy to search out. A random variable which can only take one value has a degenerate distribution; if that value is the actual quantity zero, then its probability density is the Dirac delta function. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero quantity is some extent.

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