Degeneracy

Often, the degenerate cases are the exceptional cases where modifications to the usual dimension or the cardinality of the thing occur. For instance, a triangle is an object of dimension two, and a degenerate triangle is contained in a line, which makes its dimension one. This is just like the case of a circle, whose dimension shrinks from two to zero because it degenerates into some extent. In such a degenerate case, the solution set is claimed to be degenerate.

• If you refer to the behaviour of a bunch of individuals as degeneracy, you mean that you suppose it is surprising, immoral, or disgusting.
• The synonyms have been organized relying on the variety of charachters so that they’re simple to seek out.
• A degenerate case thus has particular features which makes it non-generic.
• Thus a degenerate convex polygon of n sides appears like a polygon with fewer sides.

A degenerate case thus has special options which makes it non-generic. For example, proper triangles, isosceles triangles and equilateral triangles are non-generic and non-degenerate. In reality, degenerate circumstances often correspond to singularities, either within the object or in some configuration area. For instance, a conic section is degenerate if and provided that it has singular points (e.g., level, line, intersecting strains).

Letter Phrases

In contexts the place self-intersection is allowed, a sphere is a degenerate normal torus where the axis of revolution passes via the center of the producing circle, somewhat than outside it. A convex polyhedron is degenerate if both two adjoining sides are coplanar or two edges are aligned. In the case of a tetrahedron, that is equal to saying that each one of its vertices lie in the identical aircraft, giving it a quantity of zero. A degenerate triangle has collinear vertices and 0 area, and thus coincides with a segment coated twice (if the three vertices are not all equal; in any other case, the triangle degenerates to a single level).

The words nefarious and degenerate are synonyms, however do differ in nuance. Specifically, nefarious suggests flagrant breaching of time-honored legal guidelines and traditions of conduct. While the synonyms corrupt and degenerate are shut in that means, corrupt stresses a loss of ethical integrity or probity inflicting betrayal of principle or sworn obligations. Some frequent synonyms of degenerate are corrupt, iniquitous, nefarious, vicious, and villainous. While all these words mean “extremely reprehensible or offensive in character, nature, or conduct,” degenerate suggests having sunk to an particularly vicious or enervated situation. If your word has any anagrams, they will be listed too along with a definition for the word if we have one.

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