# 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 zero° angle and two undefined angles. A hyperbola can degenerate into two strains crossing at some extent, via a household of hyperbolae having those traces as frequent asymptotes.

- In the case of a tetrahedron, this is equivalent to saying that every one of its vertices lie in the same airplane, giving it a quantity of zero.
- If two vertices are equal, it has one 0° angle and two undefined angles.
- We’ve arranged the synonyms in size order so that they are easier to search out.
- This will be the reason for which there isn’t a general definition of degeneracy, although the concept is extensively used and outlined in every specific state of affairs.
- A degenerate conic is a conic part (a second-degree plane 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.

an individual who has declined, as in morals or character, from a kind or commonplace thought-about regular. Relationships of frequencies of codons for different amino acids within the genetic code and the noticed frequencies of amino acids in proteins of residing techniques (drawn from Lewin’s”Genes IV”). If you refer to the behaviour of a gaggle of people as degeneracy, you mean that you just suppose it is surprising, immoral, or disgusting. The definition of an improvement is an increase in value, condition or 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 where self-intersection is allowed, a sphere is a degenerate commonplace torus where the axis of revolution passes via the center of the producing circle, rather than exterior it. A convex polyhedron is degenerate if either two adjoining facets are coplanar or two edges are aligned. In the case of a tetrahedron, that is equivalent to saying that all of its vertices lie in the identical airplane, giving it a volume of zero. A degenerate triangle has collinear vertices and zero space, and thus coincides with a section coated twice (if the three vertices aren’t all equal; otherwise, the triangle degenerates to a single point).

A circle can be thought of as a degenerate ellipse, as the eccentricity approaches 0. A line phase may 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 at least 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-degree plane curve, outlined by a polynomial equation of diploma two) that fails to be an irreducible curve.

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DisclaimerAll content material on this website, including dictionary, thesaurus, literature, geography, and other reference information is for informational functions only. This information shouldn’t be considered full, up to date, and isn’t meant for use in place of a visit, consultation, or advice of a legal, medical, or any other professional. In some conditions, the phrases vicious and degenerate are roughly equivalent. However, vicious could directly oppose virtuous in implying moral depravity, or might connote malignancy, cruelty, or damaging violence.

In quantum mechanics, any such multiplicity in the eigenvalues of the Hamiltonian operator gives rise to degenerate energy ranges. Usually any such degeneracy signifies some underlying symmetry within the system. A convex polygon is degenerate if no less than two consecutive sides coincide at least partially, or a minimum of one aspect has zero length, or a minimum of 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 which has been given above. In mathematics, a degenerate case is a limiting case of a class of objects which seems to be qualitatively different from the remainder of the class, and the time period degeneracy is the condition of being a degenerate case.

The morale of the soldiers degenerated, and so they were unable to fight. The synonyms iniquitous and degenerate are sometimes interchangeable, but iniquitous implies absence of all indicators of justice or equity. good, wholesome, sturdy, noble, kind, virtuous, good, enhance, honorable, rise, uncorrupted, nicely, assist, develop, recuperate, pure, incorruptible, help, develop, upright, improve, construct, moral, Uncorrupt, clean, honest, progress. The synonyms have been arranged depending on the number of charachters so that they’re easy to search out. A random variable which can solely take one worth has a degenerate distribution; if that worth is the real number 0, then its likelihood density is the Dirac delta operate. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero volume is some extent.

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