# 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 zero° angle and two undefined angles. A hyperbola can degenerate into two strains crossing at a point, by way of a family of hyperbolae having these traces as frequent asymptotes.

- In the case of a tetrahedron, that is equal to saying that all of its vertices lie in the same airplane, giving it a volume of zero.
- This will be the reason for which there isn’t a common definition of degeneracy, although the concept is broadly used and outlined in each particular state of affairs.
- A degenerate conic is a conic section (a second-diploma plane curve, defined by a polynomial equation of degree 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 sort or normal thought-about regular. Relationships of frequencies of codons for various amino acids within the genetic code and the observed frequencies of amino acids in proteins of residing methods (drawn from Lewin’s”Genes IV”). If you refer to the behaviour of a group of people as degeneracy, you mean that you think it is shocking, immoral, or disgusting. The definition of an improvement is an increase in worth, situation or quality. The meanings of villainous and degenerate largely overlap; nonetheless, villainous applies to any evil, wicked, or vile conduct or characteristic.

## Degeneracy Synonym, Degeneracy Definition

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 outdoors it. A convex polyhedron is degenerate if either two adjoining sides are coplanar or two edges are aligned. In the case of a tetrahedron, this is equivalent to saying that every one of its vertices lie in the identical plane, giving it a volume of zero. A degenerate triangle has collinear vertices and zero space, and thus coincides with a phase covered twice (if the three vertices usually are not all equal; otherwise, the triangle degenerates to a single point).

A circle can be regarded as a degenerate ellipse, because the eccentricity approaches zero. A line phase can 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 plane. 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 degree two) that fails to be an irreducible curve.

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DisclaimerAll content on this website, including dictionary, thesaurus, literature, geography, and other reference knowledge is for informational purposes only. This info shouldn’t be thought of complete, updated, and is not supposed for use instead of a go to, session, or recommendation of a legal, medical, or any other skilled. In some situations, the phrases vicious and degenerate are roughly equal. However, vicious may immediately oppose virtuous in implying moral depravity, or might connote malignancy, cruelty, or destructive violence.

In quantum mechanics, any such multiplicity in the eigenvalues of the Hamiltonian operator gives rise to degenerate power ranges. Usually any such degeneracy indicates some underlying symmetry in the system. A convex polygon is degenerate if at least two consecutive sides coincide a minimum of partially, or at least one side has zero size, 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 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 condition of being a degenerate case.

The morale of the soldiers degenerated, and they had been unable to struggle. The synonyms iniquitous and degenerate are generally interchangeable, however iniquitous implies absence of all indicators of justice or equity. nice, wholesome, strong, noble, type, virtuous, good, improve, honorable, rise, uncorrupted, nicely, help, develop, recuperate, pure, incorruptible, assist, develop, upright, enhance, build, moral, Uncorrupt, clear, sincere, progress. The synonyms have been organized depending on the number of charachters so that they’re simple to search out. A random variable which might only take one value has a degenerate distribution; if that value is the actual quantity zero, then its chance density is the Dirac delta operate. When the radius of a sphere goes to zero, the ensuing degenerate sphere of zero volume is a point.

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