Nonconverging: meaning, definitions and examples
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nonconverging
[ˌnɒnkənˈvəːdʒɪŋ ]
Definition
mathematics
Not converging to a limit; not approaching a definite value.
Synonyms
divergent, nonapproaching, nonlimiting.
Which Synonym Should You Choose?
Word | Description / Examples |
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nonconverging |
Typically used in mathematical contexts to describe a series or sequence that does not approach a specific limit. It emphasizes the lack of convergence without necessarily implying that the behavior is chaotic or spreading apart.
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divergent |
Used in both mathematical and general contexts to describe something that spreads apart or moves away from a common point. In math, it refers specifically to a series or sequence that increases without bound. In general use, it can also indicate differing opinions or paths.
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nonapproaching |
This word is used to describe a situation where a certain behavior or state does not come close to a particular point or limit. It is less commonly used and is often seen in more technical or specialized contexts.
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nonlimiting |
Generally used to indicate that something is not confined or restricted to a particular boundary or limit. It can be used in both technical and general contexts.
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Examples of usage
- The series is nonconverging, as it does not approach a specific value.
- The nonconverging behavior of the function led to further analysis.
Translations
Translations of the word "nonconverging" in other languages:
🇵🇹 não convergente
🇮🇳 असंग्राही
🇩🇪 nicht konvergierend
🇮🇩 tidak konvergen
🇺🇦 не збігається
🇵🇱 niezbieżny
🇯🇵 収束しない
🇫🇷 non convergent
🇪🇸 no convergente
🇹🇷 yakınsamayan
🇰🇷 수렴하지 않는
🇸🇦 غير متقارب
🇨🇿 nekonvergující
🇸🇰 nekonvergujúci
🇨🇳 不收敛
🇸🇮 nekonvergenten
🇮🇸 ekki nálgast
🇰🇿 жақындамайтын
🇬🇪 არაკონვერგენტული
🇦🇿 yaxınlaşmayan
🇲🇽 no convergente
Etymology
The word 'nonconverging' is a combination of the prefix 'non-' meaning 'not' and the verb 'converging' meaning 'approaching a definite value'. In mathematics, the concept of convergence is fundamental in analyzing the behavior of sequences, series, and functions. When a sequence or series does not approach a specific limit or value, it is described as nonconverging. The term is often used in calculus, analysis, and other branches of mathematics to characterize behavior that does not lead to a defined outcome.
See also: convergence, converging, nonconvergent.