# Synonyms 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 zero° angle and two undefined angles. A hyperbola can degenerate into two traces crossing at a point, by way of a household of hyperbolae having these strains as common asymptotes.

• If the three vertices are pairwise distinct, it has two 0° angles and one one hundred eighty° angle.
• A circle could be regarded as a degenerate ellipse, as the eccentricity approaches 0.
• As earlier pointed out 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).
• 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, through a family of hyperbolae having those lines as widespread asymptotes.

a person who has declined, as in morals or character, from a sort or normal thought of normal. Relationships of frequencies of codons for different amino acids in the genetic code and the observed frequencies of amino acids in proteins of residing techniques (drawn from Lewin’s”Genes IV”). If you refer to the behaviour of a bunch of people as degeneracy, you mean that you just think it’s surprising, immoral, or disgusting. The definition of an improvement is a rise 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 the place the axis of revolution passes by way of the center of the producing circle, somewhat than outside it. A convex polyhedron is degenerate if both two adjoining sides are coplanar or two edges are aligned. In the case of a tetrahedron, this is equivalent 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 0 space, and thus coincides with a phase coated twice (if the three vertices are not all equal; otherwise, the triangle degenerates to a single level).

A circle can be considered a degenerate ellipse, as 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 at least 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-diploma plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.

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DisclaimerAll content on this website, together with dictionary, thesaurus, literature, geography, and other reference information is for informational purposes solely. This information should not be thought-about complete, up to date, and is not meant for use rather than a visit, session, or recommendation of a legal, medical, or some other skilled. In some situations, the phrases vicious and degenerate are roughly equivalent. However, vicious might directly oppose virtuous in implying moral depravity, or may connote malignancy, cruelty, or damaging 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 at least one side has zero size, or no less than one angle is 180°. 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 mathematics, a degenerate case is a limiting case of a class of objects which seems to be qualitatively different from the rest of the class, and the term degeneracy is the condition of being a degenerate case.

## Antonyms Of Degenerate

The morale of the troopers degenerated, and they have been unable to battle. The synonyms iniquitous and degenerate are typically interchangeable, but iniquitous implies absence of all signs of justice or equity. nice, wholesome, robust, noble, kind, virtuous, good, enhance, honorable, rise, uncorrupted, properly, assist, develop, recuperate, pure, incorruptible, assist, develop, upright, increase, construct, moral, Uncorrupt, clear, trustworthy, progress. The synonyms have been organized relying on the variety 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 actual quantity 0, then its chance density is the Dirac delta operate. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero volume is a degree.