Synonyms For Degeneracy

If the three vertices are pairwise distinct, it has two 0° angles and one one hundred eighty° angle. If two vertices are equal, it has one zero° angle and two undefined angles. A hyperbola can degenerate into two traces crossing at a point, via a household of hyperbolae having those traces as frequent asymptotes.

• If the three vertices are pairwise distinct, it has two zero° angles and one one hundred eighty° angle.
• A circle can be thought of as a degenerate ellipse, as the eccentricity approaches zero.
• As earlier pointed out and as can be seen from Figure 30.four, there are more then one codons for each 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 degree, through a household of hyperbolae having these traces as widespread asymptotes.

a person who has declined, as in morals or character, from a kind or standard thought-about regular. Relationships of frequencies of codons for various amino acids in the genetic code and the observed frequencies of amino acids in proteins of dwelling techniques (drawn from Lewin’s”Genes IV”). If you discuss with the behaviour of a bunch of individuals as degeneracy, you imply that you just think it’s stunning, immoral, or disgusting. The definition of an improvement is an increase in worth, situation or high quality. The meanings of villainous and degenerate largely overlap; nevertheless, villainous applies to any evil, wicked, or vile conduct or characteristic.

Degeneracy Synonym, Degeneracy Definition

In contexts where self-intersection is allowed, a sphere is a degenerate normal torus where the axis of revolution passes via the center of the producing circle, quite 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, this is equal to saying that all of its vertices lie in the identical aircraft, giving it a quantity of zero. A degenerate triangle has collinear vertices and zero area, and thus coincides with a phase lined twice (if the three vertices aren’t all equal; otherwise, the triangle degenerates to a single point).

A circle may be considered a degenerate ellipse, because the eccentricity approaches 0. A line section can be considered as a degenerate case of an ellipse by 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-degree airplane curve, defined by a polynomial equation of diploma two) that fails to be an irreducible curve.

Synonyms & Antonyms Of Degenerate

DisclaimerAll content on this web site, including dictionary, thesaurus, literature, geography, and different reference data is for informational functions solely. This data shouldn’t be thought of full, updated, and isn’t supposed to be used rather than a go to, consultation, or recommendation of a authorized, medical, or another skilled. In some situations, the phrases vicious and degenerate are roughly equal. However, vicious may instantly oppose virtuous in implying moral depravity, or might connote malignancy, cruelty, or harmful violence.

In quantum mechanics, any such multiplicity within the eigenvalues of the Hamiltonian operator gives rise to degenerate power levels. 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 no less than one side has zero size, or a minimum of one angle is one hundred eighty°. Thus a degenerate convex polygon of n sides seems 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 category of objects which appears to be qualitatively different from the rest of the category, and the time period degeneracy is the situation of being a degenerate case.

The morale of the troopers degenerated, and so they had been unable to struggle. The synonyms iniquitous and degenerate are typically interchangeable, but iniquitous implies absence of all indicators of justice or equity. good, wholesome, strong, noble, sort, virtuous, good, improve, honorable, rise, uncorrupted, properly, help, develop, recuperate, pure, incorruptible, assist, develop, upright, increase, build, ethical, Uncorrupt, clear, sincere, progress. The synonyms have been organized relying 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 true quantity 0, then its probability density is the Dirac delta function. When the radius of a sphere goes to zero, the ensuing degenerate sphere of zero volume is some extent.