# 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 0° angle and two undefined angles. A hyperbola can degenerate into two traces crossing at a degree, through a family of hyperbolae having those traces as common asymptotes.

- If the three vertices are pairwise distinct, it has two zero° angles and one one hundred eighty° angle.
- The line is a degenerate case of a parabola if the parabola resides on a tangent aircraft.
- A circle could be regarded as a degenerate ellipse, because the eccentricity approaches 0.
- As earlier identified and as could be seen from Figure 30.four, there are extra then one codons for every 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 lines crossing at a degree, via a household 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 regular. Relationships of frequencies of codons for different amino acids within the genetic code and the observed frequencies of amino acids in proteins of dwelling systems (drawn from Lewin’s”Genes IV”). If you check with the behaviour of a gaggle of individuals as degeneracy, you mean that you simply assume it is shocking, immoral, or disgusting. The definition of an improvement is a rise in worth, situation or quality. The meanings of villainous and degenerate largely overlap; however, villainous applies to any evil, wicked, or vile conduct or attribute.

## Oxford English And Spanish Dictionary, Synonyms, And Spanish To English Translator

In contexts where self-intersection is allowed, a sphere is a degenerate standard torus where the axis of revolution passes through the middle of the generating circle, rather than exterior it. A convex polyhedron is degenerate if both two adjoining aspects are coplanar or two edges are aligned. 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. A degenerate triangle has collinear vertices and zero area, and thus coincides with a section coated twice (if the three vertices aren’t all equal; in any other case, the triangle degenerates to a single level).

A circle may be thought of as a degenerate ellipse, as the eccentricity approaches zero. A line phase could 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 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 part (a second-diploma airplane curve, outlined by a polynomial equation of diploma two) that fails to be an irreducible curve.

### Synonyms & Antonyms Of Degenerate

DisclaimerAll content material on this website, together with dictionary, thesaurus, literature, geography, and different reference information is for informational functions only. This info shouldn’t be thought of full, updated, and isn’t intended for use instead of a visit, consultation, or recommendation of a legal, medical, or some other skilled. In some conditions, the phrases vicious and degenerate are roughly equal. However, vicious may instantly oppose virtuous in implying ethical depravity, or could connote malignancy, cruelty, or destructive violence.

In quantum mechanics, any such multiplicity in the eigenvalues of the Hamiltonian operator offers rise to degenerate power levels. Usually any such degeneracy signifies some underlying symmetry in the system. A convex polygon is degenerate if a minimum of two consecutive sides coincide at least partially, or no less than one aspect has zero length, or at least one angle is one hundred eighty°. 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 mathematics, a degenerate case is a limiting case of a class of objects which seems to be qualitatively totally different from the remainder of the category, and the term degeneracy is the situation of being a degenerate case.

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

The morale of the troopers degenerated, and so they were 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, type, virtuous, good, improve, honorable, rise, uncorrupted, properly, assist, develop, recuperate, pure, incorruptible, help, develop, upright, enhance, construct, moral, Uncorrupt, clean, trustworthy, progress. The synonyms have been arranged depending on the number of charachters so that they are simple to find. A random variable which may only take one value has a degenerate distribution; if that worth is the true number zero, then its chance density is the Dirac delta function. When the radius of a sphere goes to zero, the ensuing degenerate sphere of zero quantity is a point.