# Synonyms For Degeneracy

If the three vertices are pairwise distinct, it has two 0° angles and one 180° angle. If two vertices are equal, it has one 0° angle and two undefined angles. A hyperbola can degenerate into two strains crossing at a point, by way of a family of hyperbolae having those lines as common asymptotes.

- In the case of a tetrahedron, this is equivalent to saying that each one of its vertices lie in the same aircraft, giving it a quantity of zero.
- If two vertices are equal, it has one 0° angle and two undefined angles.
- This may be the cause for which there isn’t a common definition of degeneracy, although the concept is broadly used and outlined in each specific situation.
- 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.
- Specifically, nefarious suggests flagrant breaching of time-honored legal guidelines and traditions of conduct.

a person who has declined, as in morals or character, from a sort or standard considered regular. Relationships of frequencies of codons for various amino acids in the genetic code and the observed 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 people as degeneracy, you mean that you just think it’s stunning, immoral, or disgusting. The definition of an enchancment is an increase 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.

## Oxford English And Spanish Dictionary, Synonyms, And Spanish To English Translator

In contexts the place self-intersection is allowed, a sphere is a degenerate normal torus where the axis of revolution passes through the middle of the producing circle, rather than exterior it. A convex polyhedron is degenerate if both two adjoining aspects are coplanar or two edges are aligned. In the case of a tetrahedron, that is equal to saying that all of its vertices lie in the same plane, giving it a volume of zero. A degenerate triangle has collinear vertices and 0 space, and thus coincides with a segment covered twice (if the three vertices usually are not all equal; otherwise, the triangle degenerates to a single level).

A circle could be considered a degenerate ellipse, because the eccentricity approaches 0. A line section can 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 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 part (a second-diploma airplane curve, outlined by a polynomial equation of degree two) that fails to be an irreducible curve.

### Synonyms & Antonyms Of Degenerate

DisclaimerAll content material on this web site, together with dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be thought-about full, up to date, and is not supposed for use instead of a go to, session, or recommendation of a authorized, medical, or any other skilled. In some situations, the phrases vicious and degenerate are roughly equivalent. However, vicious could directly oppose virtuous in implying ethical depravity, or may connote malignancy, cruelty, or destructive violence.

In quantum mechanics, any such multiplicity in the eigenvalues of the Hamiltonian operator provides rise to degenerate vitality 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 at least partially, or at least one aspect has zero size, or at least one angle is one hundred eighty°. Thus a degenerate convex polygon of n sides looks like a polygon with fewer sides. In the case of triangles, this definition coincides with the one that has been given above. In mathematics, a degenerate case is a limiting case of a category of objects which appears to be qualitatively completely different from the remainder of the category, and the term degeneracy is the situation of being a degenerate case.

## When Is Iniquitous A More Applicable Choice Than Degenerate?

The morale of the troopers degenerated, they usually had been unable to fight. The synonyms iniquitous and degenerate are typically interchangeable, but iniquitous implies absence of all signs of justice or fairness. nice, wholesome, strong, noble, type, virtuous, good, enhance, honorable, rise, uncorrupted, properly, aid, develop, recuperate, pure, incorruptible, help, develop, upright, enhance, build, ethical, Uncorrupt, clear, sincere, progress. The synonyms have been arranged relying on the number of charachters so that they’re simple to search out. A random variable which can only take one value has a degenerate distribution; if that worth is the real quantity zero, then its likelihood density is the Dirac delta operate. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero quantity is a point.

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