semiconvergent
semiconvergent noun: a kind of fraction. If (h_n-1)/(k_n-1), (h_n)/(k_n) are successive convergents, then any fraction of the form (h_n-1+ah_n)/(k_n-1+ak_n), where a is a nonnegative integer and the numerators and denominators are between the n and n+1 terms inclusive, is a semiconvergent.
Noun
semiconvergent (plural semiconvergents)
- A kind of fraction. If (h_n-1)/(k_n-1), (h_n)/(k_n) are successive convergents, then any fraction of the form (h_n-1+ah_n)/(k_n-1+ak_n), where a is a nonnegative integer and the numerators and denominators are between the n and n+1 terms inclusive, is a semiconvergent.
- The semiconvergents to the continued fraction expansion of a real number include all the rational approximations which are better than any approximation with a smaller denominator.
Adjective
semiconvergent (not comparable)
- For which the limit lim _(k→∞) bold Tᵏ exists.
semiconvergent meaning in Tamil
semiconvergent in Tamil
- குறையொருங்கல்
Forms of semiconvergent
| plural | semiconvergents |
|---|
Origin of semiconvergent
From semi- + convergent.
Questions about semiconvergent
- What does semiconvergent mean?
- Semiconvergent means a kind of fraction. If (h_n-1)/(k_n-1), (h_n)/(k_n) are successive convergents, then any fraction of the form (h_n-1+ah_n)/(k_n-1+ak_n), where a is a nonnegative integer and the numerators and denominators are between the n and n+1 terms inclusive, is a semiconvergent.
- What is semiconvergent in Tamil?
- Semiconvergent in Tamil is குறையொருங்கல். See Semiconvergent meaning in Tamil.
- What part of speech is semiconvergent?
- Semiconvergent can be a noun or an adjective.
- What is the plural of semiconvergent?
- The plural of semiconvergent is semiconvergents.
Words near semiconvergent in the dictionary
Source and license
Adapted from Wiktionary: semiconvergent (page history and authors); semiconvergent (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Cite this entry: “semiconvergent.” Word.ws, https://word.ws/semiconvergent. Based on Wiktionary, CC BY-SA 4.0.