Often, the degenerate cases are the exceptional circumstances the place modifications to the standard dimension or the cardinality of the item happen. For example, a triangle is an object of dimension two, and a degenerate triangle is contained in a line, which makes its dimension one. This is similar to the case of a circle, whose dimension shrinks from two to zero because it degenerates into a point. In such a degenerate case, the answer set is alleged to be degenerate.
- The synonyms have been arranged relying on the variety of charachters so that they’re simple to find.
- A degenerate case thus has particular features which makes it non-generic.
- Thus a degenerate convex polygon of n sides looks like a polygon with fewer sides.
The morale of the troopers degenerated, and so they had been unable to struggle. The synonyms iniquitous and degenerate are generally interchangeable, but iniquitous implies absence of all indicators of justice or fairness. good, wholesome, sturdy, noble, sort, virtuous, good, enhance, honorable, rise, uncorrupted, well, assist, grow, recuperate, pure, incorruptible, assist, develop, upright, increase, build, ethical, Uncorrupt, clean, sincere, progress. The synonyms have been organized depending on the number of charachters so that they are straightforward to seek out. A random variable which might solely take one worth has a degenerate distribution; if that worth is the true number 0, then its probability density is the Dirac delta function. When the radius of a sphere goes to zero, the resulting degenerate sphere of zero quantity is a point.
The definitions of many lessons of composite or structured objects usually implicitly embrace inequalities. For instance, the angles and the aspect lengths of a triangle are imagined to be optimistic. The limiting circumstances, the place one or several of those inequalities turn out to be equalities, are degeneracies. In the case of triangles, one has a degenerate triangle if no less than one facet size or angle is zero (equiv., it turns into a “line phase”). As earlier identified and as may be seen from Figure 30.4, there are extra then one codons for each of a number of amino acids (see Table 30.5). Use filters to view other words, we now have 453 synonyms for degeneracy.
The phrases nefarious and degenerate are synonyms, but do differ in nuance. Specifically, nefarious suggests flagrant breaching of time-honored laws and traditions of conduct. While the synonyms corrupt and degenerate are shut in meaning, corrupt stresses a lack of moral integrity or probity causing betrayal of principle or sworn obligations. Some frequent synonyms of degenerate are corrupt, iniquitous, nefarious, vicious, and villainous. While all these phrases imply “extremely reprehensible or offensive in character, nature, or conduct,” degenerate suggests having sunk to an especially vicious or enervated condition. If your word has any anagrams, they’re going to be listed too along with a definition for the word if we now have one.