English Explanatory Dictionary

semiconvergent

English dictionary entry

Meanings

noun
  1. 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.
adj
  1. For which the limit lim _(k→∞) bold Tᵏ exists.

Word forms

semiconvergent semiconvergents

Etymology

From semi- + convergent.

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