Synonyms For Degeneracy
If the three vertices are pairwise distinct, it has two zero° 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 strains crossing at some extent, via a family of hyperbolae having those lines as widespread asymptotes.
- In the case of a tetrahedron, that is equal to saying that every one of its vertices lie in the identical plane, giving it a volume of zero.
- If two vertices are equal, it has one 0° angle and two undefined angles.
- We’ve arranged the synonyms in length order so that they are simpler to find.
- This could be the cause for which there isn’t a general definition of degeneracy, even though the concept is broadly used and defined in every specific state of affairs.
- A degenerate conic is a conic section (a second-degree airplane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.
- Specifically, nefarious suggests flagrant breaching of time-honored legal guidelines and traditions of conduct.
a person who has declined, as in morals or character, from a sort or commonplace thought-about regular. Relationships of frequencies of codons for different amino acids in the genetic code and the noticed frequencies of amino acids in proteins of residing methods (drawn from Lewin’s”Genes IV”). If you check with the behaviour of a group of people as degeneracy, you mean that you think it’s shocking, immoral, or disgusting. The definition of an improvement is a rise in worth, condition or quality. The meanings of villainous and degenerate largely overlap; nonetheless, 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 exterior it. A convex polyhedron is degenerate if both two adjacent sides are coplanar or two edges are aligned. In the case of a tetrahedron, this is equal to saying that each one of its vertices lie in the identical airplane, giving it a volume of zero. A degenerate triangle has collinear vertices and nil area, and thus coincides with a phase coated twice (if the three vertices are not all equal; in any other case, the triangle degenerates to a single level).
A circle could be thought of as a degenerate ellipse, as the eccentricity approaches 0. A line segment can be seen 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 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-diploma airplane curve, defined by a polynomial equation of diploma two) that fails to be an irreducible curve.
Synonyms & Antonyms Of Degenerate
DisclaimerAll content on this web site, including dictionary, thesaurus, literature, geography, and different reference data is for informational functions only. This information shouldn’t be thought of full, updated, and is not meant to be used rather than a go to, session, or recommendation of a legal, medical, or some other professional. In some situations, the phrases vicious and degenerate are roughly equivalent. However, vicious might directly oppose virtuous in implying ethical depravity, or might connote malignancy, cruelty, or damaging violence.
In quantum mechanics, any such multiplicity in the eigenvalues of the Hamiltonian operator offers 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 no less than partially, or a minimum of one aspect has zero length, or no less than 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 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, and they were unable to battle. The synonyms iniquitous and degenerate are typically interchangeable, however iniquitous implies absence of all indicators of justice or equity. nice, wholesome, strong, noble, kind, virtuous, good, enhance, honorable, rise, uncorrupted, properly, aid, develop, recuperate, pure, incorruptible, help, develop, upright, improve, construct, ethical, Uncorrupt, clear, honest, progress. The synonyms have been organized depending on the variety of charachters so that they are straightforward to search out. A random variable which may only take one value has a degenerate distribution; if that worth is the true quantity 0, then its likelihood density is the Dirac delta operate. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero quantity is a point.