🤝 No agreement ➗ No limit

nonconvergence

9.9

A list of numbers or a function that does not settle at a single value as the input grows

noun
/ˌnɒn.kənˈvɜr.dʒəns/

Specialized

: no convergencia

If there is nonconvergence, the function will not settle at a single value as input increases.

Examples

The nonconvergence of the series means it does not sum to a finite value.
The nonconvergence of the sequence indicates that it does not approach a specific limit as more terms are added.
Mathematicians often study the causes of nonconvergence in iterative algorithms.
The nonconvergence of the series was alarming.
In mathematics, nonconvergence can lead to undefined behavior.
In calculus, a series can exhibit nonconvergence, meaning it diverges rather than approaches a finite sum.
Analysts observed that the nonconvergence of their calculations led to unpredictable outcomes in their models.

Synonyms

divergence

vsnonconvergence

Specialized

1 9.2

A number series that does not get closer to a fixed value

includes functions as well, not only sequences and series

divergency

vsnonconvergence

Specialized

9.9

A list of numbers that does not get closer to one value

includes functions too, so it applies beyond sequences and series

Antonyms

convergence

Specialized

3 8.0

A sequence or series that gets closer to a single value as you add terms

Surface Forms

nonconvergence singular

nonconvergences plural

Morphology

nonconvergence = convergence (semi-transparent) = non + converge + ence

Formally compositional as 'non-' + 'convergence', but the precise mathematical meaning ('not approaching a finite limit') is specialized and may not be derivable by an average B1 learner.

Etymology

Nonconvergence is made from non- meaning 'not' and converge meaning 'to come together' or 'meet', so in math nonconvergence means a sequence or function does not come to or 'reach' a single value as the numbers grow.