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

• If the three vertices are pairwise distinct, it has two 0° angles and one a hundred and eighty° angle.
• As earlier identified and as could be seen from Figure 30.four, there are more then one codons for every of several amino acids (see Table 30.5).
• In inversive geometry, a line is a degenerate case of a circle, with infinite radius.
• A hyperbola can degenerate into two traces crossing at a degree, via a family of hyperbolae having those strains as widespread asymptotes.

a person who has declined, as in morals or character, from a kind or commonplace thought-about normal. Relationships of frequencies of codons for different amino acids within the genetic code and the noticed frequencies of amino acids in proteins of residing methods (drawn from Lewin’s”Genes IV”). If you discuss with the behaviour of a group of people as degeneracy, you mean that you just suppose it’s surprising, immoral, or disgusting. The definition of an enchancment is an increase in value, situation or high quality. The meanings of villainous and degenerate largely overlap; nonetheless, villainous applies to any evil, wicked, or vile conduct or attribute.

## Degeneracy Synonym, Degeneracy Definition

In contexts where self-intersection is allowed, a sphere is a degenerate standard torus the place the axis of revolution passes by way of the center of the producing circle, quite than outdoors it. A convex polyhedron is degenerate if either two adjacent facets are coplanar or two edges are aligned. In the case of a tetrahedron, that 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 nil space, and thus coincides with a segment covered twice (if the three vertices aren’t all equal; in any other case, the triangle degenerates to a single point).

A circle could be considered a degenerate ellipse, because the eccentricity approaches zero. A line phase can be considered 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 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.

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DisclaimerAll content material on this website, together with dictionary, thesaurus, literature, geography, and other reference knowledge is for informational purposes only. This information should not be thought of full, up to date, and isn’t meant to be used in place of a go to, session, or recommendation of a legal, medical, or another skilled. In some conditions, the words vicious and degenerate are roughly equal. However, vicious may immediately 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 gives rise to degenerate vitality levels. Usually any such degeneracy indicates some underlying symmetry in the system. A convex polygon is degenerate if a minimum of two consecutive sides coincide a minimum of partially, or no less than one facet has zero size, or a minimum of one angle is one hundred eighty°. 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 category of objects which appears to be qualitatively different from the remainder of the class, and the term degeneracy is the situation of being a degenerate case.

## Antonyms Of Degenerate

The morale of the troopers degenerated, they usually were unable to fight. The synonyms iniquitous and degenerate are sometimes interchangeable, however iniquitous implies absence of all signs of justice or equity. nice, wholesome, sturdy, noble, kind, virtuous, good, enhance, honorable, rise, uncorrupted, properly, help, develop, recuperate, pure, incorruptible, assist, develop, upright, increase, construct, moral, Uncorrupt, clear, honest, progress. The synonyms have been organized relying on the variety of charachters so that they are straightforward to search out. A random variable which might only take one worth has a degenerate distribution; if that value is the real quantity 0, then its probability density is the Dirac delta perform. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero volume is a degree.