Synonyms And Antonyms 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 0° angle and two undefined angles. A hyperbola can degenerate into two lines crossing at a degree, through a household of hyperbolae having these traces as common asymptotes.

• If the three vertices are pairwise distinct, it has two 0° angles and one a hundred and eighty° angle.
• The line is a degenerate case of a parabola if the parabola resides on a tangent aircraft.
• As earlier identified and as could be seen from Figure 30.four, 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, through a household of hyperbolae having those traces as frequent asymptotes.

a person who has declined, as in morals or character, from a sort or commonplace thought-about normal. Relationships of frequencies of codons for various amino acids in 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 people as degeneracy, you imply that you simply suppose it is surprising, immoral, or disgusting. The definition of an enchancment is an increase in value, condition or high quality. The meanings of villainous and degenerate largely overlap; nevertheless, villainous applies to any evil, depraved, or vile conduct or characteristic.

Degeneracy Synonym, Degeneracy Definition

In contexts the place self-intersection is allowed, a sphere is a degenerate normal torus the place the axis of revolution passes by way of the middle of the generating circle, somewhat 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 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 section coated twice (if the three vertices are not all equal; otherwise, the triangle degenerates to a single level).

A circle can be thought of as a degenerate ellipse, as the eccentricity approaches 0. A line phase can be seen as a degenerate case of an ellipse in which the semiminor axis goes to zero, the foci go to the endpoints, and the eccentricity goes to at least one. 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 section (a second-diploma airplane curve, outlined by a polynomial equation of diploma two) that fails to be an irreducible curve.

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DisclaimerAll content material on this web site, including dictionary, thesaurus, literature, geography, and different reference data is for informational functions only. This info should not be thought of complete, updated, and is not meant for use in place of a visit, session, or advice of a legal, medical, or any other professional. In some situations, the words vicious and degenerate are roughly equal. However, vicious could immediately oppose virtuous in implying ethical depravity, or may connote malignancy, cruelty, or damaging violence.

In quantum mechanics, any such multiplicity within the eigenvalues of the Hamiltonian operator offers rise to degenerate energy levels. Usually any such degeneracy signifies some underlying symmetry within the system. A convex polygon is degenerate if at least two consecutive sides coincide at least partially, or a minimum of one aspect has zero size, or no less than one angle is a hundred and 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 arithmetic, a degenerate case is a limiting case of a category 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.

Antonyms Of Degenerate

The morale of the soldiers degenerated, they usually were unable to struggle. The synonyms iniquitous and degenerate are typically interchangeable, but iniquitous implies absence of all indicators of justice or equity. good, healthy, sturdy, noble, kind, virtuous, good, improve, honorable, rise, uncorrupted, well, aid, develop, recuperate, pure, incorruptible, assist, develop, upright, enhance, construct, moral, Uncorrupt, clear, trustworthy, progress. The synonyms have been arranged depending on the variety of charachters so that they’re easy to search out. A random variable which can only take one worth has a degenerate distribution; if that worth is the real number zero, then its chance density is the Dirac delta function. When the radius of a sphere goes to zero, the ensuing degenerate sphere of zero volume is a degree.

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