# Synonyms And Antonyms 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 traces crossing at some extent, by way of a household of hyperbolae having those lines as widespread asymptotes.

- If the three vertices are pairwise distinct, it has two zero° angles and one 180° angle.
- A circle could be thought of as a degenerate ellipse, because the eccentricity approaches 0.
- As earlier pointed out and as could be seen from Figure 30.4, 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 strains crossing at a point, through a household of hyperbolae having those lines as widespread asymptotes.

a person who has declined, as in morals or character, from a type or commonplace considered regular. Relationships of frequencies of codons for various amino acids within the genetic code and the noticed frequencies of amino acids in proteins of dwelling methods (drawn from Lewin’s”Genes IV”). If you refer to the behaviour of a bunch of people as degeneracy, you imply that you just suppose it is surprising, immoral, or disgusting. The definition of an improvement is an increase in value, situation or quality. The meanings of villainous and degenerate largely overlap; nonetheless, 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 commonplace torus where the axis of revolution passes through the middle of the generating circle, quite than exterior 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 equal to saying that every one of its vertices lie in the same aircraft, giving it a quantity of zero. A degenerate triangle has collinear vertices and zero space, and thus coincides with a section lined twice (if the three vertices are not all equal; in any other case, the triangle degenerates to a single level).

A circle could be regarded as a degenerate ellipse, as the eccentricity approaches 0. A line section could 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 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 section (a second-degree aircraft curve, defined by a polynomial equation of diploma two) that fails to be an irreducible curve.

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DisclaimerAll content on this web site, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This data should not be thought of full, up to date, and is not supposed to be used rather than a go to, session, or recommendation of a legal, medical, or any other professional. In some situations, the phrases vicious and degenerate are roughly equal. However, vicious may directly oppose virtuous in implying moral depravity, or might connote malignancy, cruelty, or damaging violence.

In quantum mechanics, any such multiplicity within the eigenvalues of the Hamiltonian operator offers rise to degenerate power ranges. Usually any such degeneracy signifies some underlying symmetry in the system. A convex polygon is degenerate if no less than two consecutive sides coincide no less than partially, or at least one facet has zero size, or a minimum of one angle is 180°. 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 arithmetic, a degenerate case is a limiting case of a class of objects which seems to be qualitatively completely different from the remainder of the class, and the time period degeneracy is the condition of being a degenerate case.

The morale of the troopers degenerated, they usually have been unable to struggle. The synonyms iniquitous and degenerate are sometimes interchangeable, but iniquitous implies absence of all indicators of justice or fairness. good, healthy, strong, noble, type, virtuous, good, enhance, honorable, rise, uncorrupted, nicely, help, grow, recuperate, pure, incorruptible, help, develop, upright, improve, build, ethical, Uncorrupt, clear, trustworthy, progress. The synonyms have been organized depending on the variety of charachters so that they are simple to search out. A random variable which might only take one worth has a degenerate distribution; if that worth is the actual quantity zero, then its likelihood density is the Dirac delta function. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero volume is some extent.

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