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 lines crossing at a point, through a family 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.
- The line is a degenerate case of a parabola if the parabola resides on a tangent airplane.
- A circle may be regarded as a degenerate ellipse, as the eccentricity approaches zero.
- As earlier identified and as can be seen from Figure 30.4, there are extra then one codons for every of a number of amino acids (see Table 30.5).
- A hyperbola can degenerate into two strains crossing at a point, through a household of hyperbolae having those lines as widespread asymptotes.

an individual who has declined, as in morals or character, from a kind or standard thought of regular. Relationships of frequencies of codons for different amino acids in the genetic code and the observed frequencies of amino acids in proteins of living methods (drawn from Lewin’s»Genes IV»). If you refer to the behaviour of a bunch of people as degeneracy, you imply that you simply suppose it’s stunning, immoral, or disgusting. The definition of an improvement is a rise in value, situation or high quality. The meanings of villainous and degenerate largely overlap; however, villainous applies to any evil, wicked, or vile conduct or characteristic.

## Degeneracy Synonym, Degeneracy Definition

In contexts the place self-intersection is allowed, a sphere is a degenerate normal torus where the axis of revolution passes by way of the middle of the producing circle, quite than outside it. A convex polyhedron is degenerate if either two adjacent 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 0 area, and thus coincides with a phase covered twice (if the three vertices are not all equal; otherwise, the triangle degenerates to a single level).

A circle could be regarded as a degenerate ellipse, as the eccentricity approaches 0. A line section could be viewed 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 plane. 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 degree two) that fails to be an irreducible curve.

### Word Of The Day

DisclaimerAll content on this website, together with dictionary, thesaurus, literature, geography, and different reference data is for informational functions solely. This information should not be thought of full, up to date, and is not intended for use instead of a visit, session, or recommendation of a authorized, medical, or another skilled. In some situations, the words vicious and degenerate are roughly equivalent. However, vicious may immediately oppose virtuous in implying moral depravity, or may connote malignancy, cruelty, or harmful violence.

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

## When Is Iniquitous A Extra Applicable Alternative Than Degenerate?

The morale of the soldiers degenerated, and they had been unable to battle. The synonyms iniquitous and degenerate are generally interchangeable, however iniquitous implies absence of all signs of justice or equity. good, wholesome, strong, noble, kind, virtuous, good, enhance, honorable, rise, uncorrupted, properly, help, grow, recuperate, pure, incorruptible, help, develop, upright, improve, build, moral, Uncorrupt, clean, sincere, progress. The synonyms have been organized relying on the variety of charachters so that they are straightforward to find. A random variable which might only take one value has a degenerate distribution; if that worth is the true number zero, 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.