Synonyms And Antonyms 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 0° angle and two undefined angles. A hyperbola can degenerate into two traces crossing at a point, via a household of hyperbolae having those traces as frequent asymptotes.
- In the case of a tetrahedron, that is equivalent to saying that all of its vertices lie in the same airplane, giving it a quantity of zero.
- We’ve organized the synonyms in size order so that they are simpler to find.
- This may be the cause for which there isn’t a common definition of degeneracy, although the idea is broadly used and defined in every specific state of affairs.
- A degenerate conic is a conic part (a second-diploma aircraft curve, outlined by a polynomial equation of degree two) that fails to be an irreducible curve.
- Specifically, nefarious suggests flagrant breaching of time-honored laws and traditions of conduct.
an individual who has declined, as in morals or character, from a sort or commonplace thought of regular. Relationships of frequencies of codons for various amino acids in the genetic code and the noticed frequencies of amino acids in proteins of living methods (drawn from Lewin’s”Genes IV”). If you discuss with the behaviour of a group of people as degeneracy, you imply that you simply think it’s shocking, immoral, or disgusting. The definition of an enchancment is a rise in value, situation or high quality. The meanings of villainous and degenerate largely overlap; nevertheless, villainous applies to any evil, wicked, or vile conduct or attribute.
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 generating circle, somewhat than exterior it. A convex polyhedron is degenerate if either two adjoining sides are coplanar or two edges are aligned. In the case of a tetrahedron, that is equal to saying that every one of its vertices lie in the identical airplane, giving it a quantity of zero. A degenerate triangle has collinear vertices and zero area, and thus coincides with a section lined twice (if the three vertices aren’t all equal; in any other case, the triangle degenerates to a single point).
A circle may be considered a degenerate ellipse, as the eccentricity approaches zero. 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 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 aircraft curve, outlined by a polynomial equation of diploma two) that fails to be an irreducible curve.
Synonyms & Antonyms Of Degenerate
DisclaimerAll content on this website, including dictionary, thesaurus, literature, geography, and other reference information is for informational functions solely. This data should not be thought of complete, updated, and isn’t meant to be used instead of a go to, consultation, or recommendation of a authorized, medical, or any other skilled. In some situations, the words vicious and degenerate are roughly equal. However, vicious may instantly 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 power levels. Usually any such degeneracy signifies some underlying symmetry within the system. A convex polygon is degenerate if a minimum of two consecutive sides coincide a minimum of partially, or at least one side has zero size, 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 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.
The morale of the soldiers degenerated, and they were unable to battle. The synonyms iniquitous and degenerate are generally interchangeable, however iniquitous implies absence of all signs of justice or fairness. nice, wholesome, strong, noble, sort, virtuous, good, enhance, honorable, rise, uncorrupted, well, assist, grow, recuperate, pure, incorruptible, help, develop, upright, improve, construct, ethical, Uncorrupt, clean, trustworthy, progress. The synonyms have been arranged depending on the variety of charachters so that they are simple to seek out. A random variable which can only take one worth has a degenerate distribution; if that value is the real number zero, then its probability 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.