# 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 0° angle and two undefined angles. A hyperbola can degenerate into two traces crossing at a degree, by way of a family of hyperbolae having those lines as widespread asymptotes.

- If the three vertices are pairwise distinct, it has two zero° angles and one a hundred and eighty° angle.
- As earlier identified and as could be seen from Figure 30.4, there are more then one codons for each of several amino acids (see Table 30.5).
- A hyperbola can degenerate into two strains crossing at some extent, by way of a household of hyperbolae having these traces as common asymptotes.

an individual who has declined, as in morals or character, from a kind or commonplace considered regular. Relationships of frequencies of codons for different 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 discuss with the behaviour of a group of individuals as degeneracy, you mean that you simply suppose it is stunning, immoral, or disgusting. The definition of an enchancment is an increase in worth, situation or high quality. The meanings of villainous and degenerate largely overlap; nonetheless, villainous applies to any evil, wicked, 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 the place the axis of revolution passes via the middle of the generating circle, quite than outside it. A convex polyhedron is degenerate if either two adjoining sides are coplanar or two edges are aligned. In the case of a tetrahedron, that is equal to saying that each one of its vertices lie in the identical plane, giving it a quantity of zero. A degenerate triangle has collinear vertices and zero space, and thus coincides with a segment lined twice (if the three vertices usually are not all equal; otherwise, the triangle degenerates to a single point).

A circle could be thought of as a degenerate ellipse, as the eccentricity approaches 0. A line phase may 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-diploma airplane curve, outlined by a polynomial equation of degree two) that fails to be an irreducible curve.

### Synonyms & Antonyms Of Degenerate

DisclaimerAll content material on this web site, together with dictionary, thesaurus, literature, geography, and different reference knowledge is for informational functions solely. This info should not be thought of complete, updated, and isn’t meant for use rather than a visit, consultation, or advice of a legal, medical, or some other professional. In some situations, the words vicious and degenerate are roughly equivalent. However, vicious could directly oppose virtuous in implying moral depravity, or could connote malignancy, cruelty, or destructive violence.

In quantum mechanics, any such multiplicity within the eigenvalues of the Hamiltonian operator provides rise to degenerate energy ranges. Usually any such degeneracy signifies some underlying symmetry in the system. A convex polygon is degenerate if a minimum of two consecutive sides coincide no less than partially, or at least one aspect has zero length, 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 seems to be qualitatively totally different from the remainder of the class, and the time period degeneracy is the condition of being a degenerate case.

The morale of the soldiers degenerated, they usually 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, healthy, sturdy, noble, kind, virtuous, good, improve, honorable, rise, uncorrupted, properly, help, grow, recuperate, pure, incorruptible, assist, develop, upright, enhance, build, ethical, Uncorrupt, clear, sincere, progress. The synonyms have been arranged relying on the number of charachters so that they’re simple to seek out. A random variable which might solely take one value has a degenerate distribution; if that worth is the true quantity 0, 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 a point.

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