Synonyms And Antonyms For Degeneracy
If the three vertices are pairwise distinct, it has two 0° angles and one a hundred and eighty° angle. If two vertices are equal, it has one 0° angle and two undefined angles. A hyperbola can degenerate into two traces crossing at a degree, via a household of hyperbolae having those lines as frequent asymptotes.
- In the case of a tetrahedron, this is equal to saying that all of its vertices lie in the identical aircraft, giving it a volume of zero.
- If two vertices are equal, it has one 0° angle and two undefined angles.
- We’ve organized the synonyms in length order so that they are easier to find.
- This could be the reason for which there isn’t a basic definition of degeneracy, although the concept is broadly used and defined in every particular scenario.
- A degenerate conic is a conic section (a second-degree plane curve, outlined by a polynomial equation of degree 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 kind or normal considered normal. Relationships of frequencies of codons for different amino acids in the genetic code and the noticed frequencies of amino acids in proteins of living systems (drawn from Lewin’s”Genes IV”). If you refer to the behaviour of a bunch of individuals as degeneracy, you mean that you assume it’s stunning, immoral, or disgusting. The definition of an improvement is a rise in value, condition or quality. The meanings of villainous and degenerate largely overlap; however, villainous applies to any evil, depraved, or vile conduct or attribute.
Degeneracy Synonym, Degeneracy Definition
In contexts where self-intersection is allowed, a sphere is a degenerate commonplace torus where the axis of revolution passes via the middle of the producing circle, quite than exterior 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 equal to saying that every one of its vertices lie in the same airplane, giving it a quantity of zero. A degenerate triangle has collinear vertices and zero space, and thus coincides with a segment coated twice (if the three vertices aren’t all equal; otherwise, the triangle degenerates to a single level).
A circle could be regarded as a degenerate ellipse, as the eccentricity approaches 0. A line section may be considered as a degenerate case of an ellipse in which the semiminor axis goes to zero, the foci go to the endpoints, and the eccentricity goes to 1. 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 part (a second-degree airplane curve, defined by a polynomial equation of diploma two) that fails to be an irreducible curve.
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DisclaimerAll content material on this web site, including dictionary, thesaurus, literature, geography, and other reference data is for informational functions solely. This data should not be considered complete, up to date, and isn’t supposed to be used in place of a go to, consultation, or recommendation of a legal, medical, or any other skilled. In some conditions, the words vicious and degenerate are roughly equivalent. However, vicious may immediately oppose virtuous in implying moral depravity, or might connote malignancy, cruelty, or harmful violence.
In quantum mechanics, any such multiplicity within the eigenvalues of the Hamiltonian operator provides rise to degenerate power ranges. Usually any such degeneracy indicates some underlying symmetry within the system. A convex polygon is degenerate if a minimum of two consecutive sides coincide no less than partially, or a minimum of one facet has zero length, or no less than one angle is 180°. Thus a degenerate convex polygon of n sides appears like a polygon with fewer sides. In the case of triangles, this definition coincides with the one that has been given above. In arithmetic, a degenerate case is a limiting case of a class of objects which seems to be qualitatively different from the rest of the category, and the time period degeneracy is the situation of being a degenerate case.
When Is Iniquitous A More Appropriate Selection Than Degenerate?
The morale of the troopers degenerated, and they had been unable to fight. The synonyms iniquitous and degenerate are generally interchangeable, however iniquitous implies absence of all indicators of justice or fairness. good, healthy, robust, noble, sort, virtuous, good, enhance, honorable, rise, uncorrupted, nicely, assist, grow, recuperate, pure, incorruptible, assist, develop, upright, improve, construct, ethical, Uncorrupt, clear, honest, progress. The synonyms have been arranged relying on the variety of charachters so that they are straightforward to seek out. A random variable which might only take one value has a degenerate distribution; if that value is the actual quantity 0, then its likelihood density is the Dirac delta perform. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero volume is some extent.