# 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 degree, via a household of hyperbolae having these strains as widespread asymptotes.

- If the three vertices are pairwise distinct, it has two 0° angles and one 180° angle.
- A circle can be regarded as a degenerate ellipse, because the eccentricity approaches 0.
- As earlier identified and as may be seen from Figure 30.4, there are extra then one codons for each of a number of 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 some extent, via a family of hyperbolae having these traces as common asymptotes.

an individual who has declined, as in morals or character, from a type or standard thought of normal. 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 check with the behaviour of a bunch of individuals as degeneracy, you imply that you assume it’s 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, depraved, or vile conduct or attribute.

## Oxford English And Spanish Dictionary, Synonyms, And Spanish To English Translator

In contexts where self-intersection is allowed, a sphere is a degenerate normal torus where the axis of revolution passes via the middle of the producing circle, somewhat than outside 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 equivalent to saying that each one of its vertices lie in the same airplane, giving it a volume of zero. A degenerate triangle has collinear vertices and zero area, and thus coincides with a phase lined twice (if the three vertices usually are not all equal; in any other case, the triangle degenerates to a single level).

A circle may be considered a degenerate ellipse, as the eccentricity approaches 0. A line segment can be seen 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 1. The line is a degenerate case of a parabola if the parabola resides on a tangent airplane. 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 aircraft curve, outlined by a polynomial equation of diploma two) that fails to be an irreducible curve.

### Synonyms & Antonyms Of Degenerate

DisclaimerAll content on this web site, together with dictionary, thesaurus, literature, geography, and different reference information is for informational functions only. This info should not be thought-about full, updated, and is not meant for use instead of a visit, consultation, or recommendation of a authorized, medical, or some other professional. In some situations, the phrases vicious and degenerate are roughly equivalent. However, vicious may immediately oppose virtuous in implying ethical depravity, or could 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 signifies some underlying symmetry within the system. A convex polygon is degenerate if a minimum of two consecutive sides coincide a minimum of partially, or no less than one aspect has zero size, or at least 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 which has been given above. In mathematics, a degenerate case is a limiting case of a class of objects which appears to be qualitatively completely different from the remainder of the class, and the time period degeneracy is the situation of being a degenerate case.

The morale of the soldiers degenerated, and so they have been unable to fight. The synonyms iniquitous and degenerate are generally interchangeable, but iniquitous implies absence of all indicators of justice or equity. good, healthy, sturdy, noble, sort, virtuous, good, enhance, honorable, rise, uncorrupted, well, aid, grow, recuperate, pure, incorruptible, assist, develop, upright, improve, construct, ethical, Uncorrupt, clear, honest, progress. The synonyms have been organized depending on the number of charachters so that they are simple to search out. A random variable which may only take one worth has a degenerate distribution; if that worth is the actual number zero, then its chance density is the Dirac delta perform. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero quantity is some extent.

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