nondegenerate
- adjective
- /ˌnɒn.dɪˈdʒɛn.ə.reɪt/
- Specialized
:
no degenerado
- In geometry, a triangle is considered nondegenerate if it has a positive area.
Examples
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The scientist focused on nondegenerate solutions that provided meaningful results.
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The nondegenerate form of the equation is essential for accurate results.
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In mathematics, a nondegenerate triangle has all sides of positive length.
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Only nondegenerate cases were considered relevant for the experiment's outcome.
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In geometry, a triangle is considered nondegenerate if it has a positive area.
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The scientist focused on nondegenerate solutions that provided meaningful results.
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In mathematics, a nondegenerate triangle has all sides of positive length.
Synonyms
5
7.7
Impossible to make smaller or simpler
Stays at full size, strength, or amount
Not able to be made simpler or broken into smaller parts
Keeping all important parts of an idea or mind instead of making it simpler
Continuing to exist or not equal to zero
A shape or surface with no sharp points that does not cross itself
How Complex
Surface Forms
Morphology
nondegenerate = degenerate (transparent) = non + degenerate
A straightforward negation of the adjective 'degenerate'; the morphological relation is clear though the precise sense 'reduced to a trivial form' is lexical knowledge.
Etymology
Nondegenerate is formed from non- and degenerate, where degenerate originally meant 'fallen away' (from de- 'away' and a root like generate 'to make'), so a helpful way to remember it is 'not fallen away'. That is why a nondegenerate case or shape still has its full, meaningful parts and is not just a trivial or useless form.