Nonconverging: meaning, definitions and examples

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nonconverging

 

[ˌnɒnkənˈvəːdʒɪŋ ]

Definition

Context #1 | Adjective

mathematics

Not converging to a limit; not approaching a definite value.

Synonyms

divergent, nonapproaching, nonlimiting.

Which Synonym Should You Choose?

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Word Description / Examples
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.

  • The sequence is nonconverging, which makes it difficult to analyze using standard methods.
  • In this nonconverging series, we need to find an alternative approach to understand its behavior.
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.

  • The opinions in the meeting were divergent, making it hard to reach a consensus.
  • The function is divergent as x approaches infinity.
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.

  • The particle's position is nonapproaching to the equilibrium point, indicating an unstable system.
  • Their plans are nonapproaching to each other, which might cause further conflicts.
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.

  • The conditions set forth in the document are nonlimiting and open to interpretation.
  • Her creativity is nonlimiting, allowing her to explore various artistic styles.

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.