convergent

English

Adjective

convergent (comparative more convergent, superlative most convergent)

1. That converges or focuses
2. (analysis) A sequence $x_n$ in a metric space with metric d is convergent to a point $x^*$, denoted as $x_n \rightarrow x^*$, if for every $\epsilon > 0$ there is a natural number N such that for every $k \ge N$ : $d(x_k, x^*) < \epsilon$.

Translations

that converges or focuses

• Catalan: convergent (ca)
• Finnish: suppeneva (fi), konvergoiva (fi), konvergentti (fi)
• Icelandic: samleitinn (is)

• Spanish: convergente (es)
• Swedish: konvergent (sv)

analysis

Noun

Wikipedia convergent (plural convergents)

1. (mathematics) the rational number obtained when a continued fraction has been terminated after a finite number of terms

Translations

rational number

Related terms

• convergence

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French

Pronunciation

• IPA: /kɔ̃.vɛʁʒ/

Verb

convergent

1. third-person plural present indicative of converger
2. third-person plural present subjunctive of converger

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Latin

Verb

convergent

1. third-person plural future active indicative of convergō