semiconvergent
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English
Etymology
From semi- + convergent.
Noun
semiconvergent (plural semiconvergents)
- (mathematics) A kind of fraction. If , are successive convergents, then any fraction of the form , 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)
- (mathematics, of a matrix) For which the limit exists.
