Synonyms For Degeneracy

If the three vertices are pairwise distinct, it has two zero° 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 degree, via a family of hyperbolae having those lines as widespread asymptotes.

• In the case of a tetrahedron, this is equal to saying that all 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.
• We’ve organized the synonyms in size order in order that they’re simpler to find.
• This will be the purpose for which there is no general definition of degeneracy, although the idea is widely used and outlined in every specific state of affairs.
• A degenerate conic is a conic section (a second-diploma aircraft 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 sort or standard thought of regular. Relationships of frequencies of codons for different amino acids within the genetic code and the observed frequencies of amino acids in proteins of living systems (drawn from Lewin’s”Genes IV”). If you discuss with the behaviour of a gaggle of people as degeneracy, you imply that you simply think it’s shocking, 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.

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

In contexts the place self-intersection is allowed, a sphere is a degenerate standard torus where the axis of revolution passes via the center of the producing circle, somewhat than exterior it. A convex polyhedron is degenerate if both two adjacent facets 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 identical plane, giving it a quantity of zero. A degenerate triangle has collinear vertices and nil space, and thus coincides with a segment lined twice (if the three vertices usually are not all equal; in any other case, the triangle degenerates to a single level).

A circle can be considered a degenerate ellipse, because the eccentricity approaches 0. A line phase may be viewed 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 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-diploma aircraft curve, outlined by a polynomial equation of diploma two) that fails to be an irreducible curve.

Synonyms & Antonyms Of Degenerate

DisclaimerAll content on this web site, together with dictionary, thesaurus, literature, geography, and other reference data is for informational functions only. This information should not be thought of complete, up to date, and is not intended for use rather than a visit, consultation, or recommendation of a authorized, medical, or another professional. In some situations, the words vicious and degenerate are roughly equal. However, vicious could instantly oppose virtuous in implying moral depravity, or could connote malignancy, cruelty, or harmful violence.

In quantum mechanics, any such multiplicity in the eigenvalues of the Hamiltonian operator provides rise to degenerate power ranges. Usually any such degeneracy signifies some underlying symmetry within the system. A convex polygon is degenerate if a minimum of two consecutive sides coincide a minimum of 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 which has been given above. In mathematics, a degenerate case is a limiting case of a class of objects which seems to be qualitatively completely different from the rest of the category, and the time period degeneracy is the condition of being a degenerate case.

The morale of the soldiers degenerated, they usually were unable to fight. The synonyms iniquitous and degenerate are generally interchangeable, however iniquitous implies absence of all signs of justice or fairness. nice, healthy, robust, noble, sort, virtuous, good, enhance, honorable, rise, uncorrupted, well, help, grow, recuperate, pure, incorruptible, assist, develop, upright, increase, construct, ethical, Uncorrupt, clear, trustworthy, progress. The synonyms have been organized depending on the variety of charachters so that they’re straightforward to seek out. A random variable which might only take one value has a degenerate distribution; if that worth is the actual quantity zero, then its likelihood density is the Dirac delta operate. When the radius of a sphere goes to zero, the ensuing degenerate sphere of zero volume is a degree.

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