Synonyms For Degeneracy
If the three vertices are pairwise distinct, it has two zero° 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 family of hyperbolae having these lines as widespread asymptotes.
- In the case of a tetrahedron, that is equivalent to saying that every one of its vertices lie in the same aircraft, giving it a quantity of zero.
- If two vertices are equal, it has one zero° angle and two undefined angles.
- We’ve organized the synonyms in length order so that they are simpler to seek out.
- This will be the reason for which there isn’t any common definition of degeneracy, although the idea is extensively used and outlined in each particular situation.
- A degenerate conic is a conic section (a second-degree aircraft curve, outlined by a polynomial equation of degree two) that fails to be an irreducible curve.
an individual who has declined, as in morals or character, from a sort or normal thought-about normal. Relationships of frequencies of codons for different amino acids within the genetic code and the observed frequencies of amino acids in proteins of living systems (drawn from Lewin’s”Genes IV”). If you discuss with the behaviour of a gaggle of people as degeneracy, you imply that you just assume it is stunning, immoral, or disgusting. The definition of an enchancment is an increase in value, condition or 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 standard torus where the axis of revolution passes via the center of the producing circle, rather than outside it. A convex polyhedron is degenerate if either two adjacent sides 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 volume of zero. A degenerate triangle has collinear vertices and nil area, and thus coincides with a phase lined twice (if the three vertices aren’t all equal; in any other case, the triangle degenerates to a single point).
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 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 section (a second-degree 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 data is for informational functions solely. This information shouldn’t be considered full, updated, and isn’t meant to be used rather than a visit, consultation, or advice of a authorized, medical, or any other professional. In some conditions, the phrases vicious and degenerate are roughly equivalent. However, vicious could instantly oppose virtuous in implying moral depravity, or might connote malignancy, cruelty, or damaging violence.
In quantum mechanics, any such multiplicity in the eigenvalues of the Hamiltonian operator gives rise to degenerate vitality ranges. Usually any such degeneracy indicates some underlying symmetry in the system. A convex polygon is degenerate if at least two consecutive sides coincide at least partially, or at least one facet has zero size, or a minimum of one angle is 180°. Thus a degenerate convex polygon of n sides looks 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 different from the remainder of the class, and the term degeneracy is the condition of being a degenerate case.
Antonyms Of Degenerate
The morale of the soldiers degenerated, and they have been unable to battle. The synonyms iniquitous and degenerate are typically interchangeable, however iniquitous implies absence of all indicators of justice or fairness. nice, healthy, sturdy, noble, kind, virtuous, good, enhance, honorable, rise, uncorrupted, well, help, develop, recuperate, pure, incorruptible, help, develop, upright, increase, construct, moral, Uncorrupt, clear, trustworthy, progress. The synonyms have been arranged relying on the number of charachters so that they’re straightforward to seek out. A random variable which can only take one worth has a degenerate distribution; if that value is the true number 0, then its probability density is the Dirac delta function. When the radius of a sphere goes to zero, the ensuing degenerate sphere of zero quantity is a degree.