Citations:undecimate

English citations of undecimated, undecimate, and undecimating

• 1837, Aristophanes [aut.] and Charles Apthorp Wheelwright [tr.], The Comedies of Aristophanes, translated into familiar blank verse, with notes, preliminary observations on each play, etc., volume 1, “The Knights”, act I, scene iii, lines 336–338, page 308

  I will denounce thee to the Prytanes,
  As taking to thyself the sacred entrails,
  Undecimated portion of the gods.

• 1841, Catherine Grace Frances Gore, Cecil: or, The Adventures of a Coxcomb. A Novel., volume 1, chapter IX, page 144

  All June and July, one sees family-coaches setting forth with post-horses as one is coming home from balls; and then, there is triumph in remaining: for it is the select few who are left, to eat the diners d’élite, and do all sorts of pleasant things never attempted so long as the mob remains undecimated.

• 1857, Ohio State Teachers Association, The Ohio Journal of Education, volume 6, page 320

  Undecimation, or Proof of Multiplication and Division. — Take any two numbers and multiply as usual. Then prove as follows: Subtract the left hand figure of the multiplicand from the one next to it on the right, borrowing 11 if necessary; and take this remainder from the next on the right, this remainder from the next, and so on, borrowing 11 whenever the figure to be subtracted is too large. Set down or retain in the mind the final remainder. Proceed in the same manner with the multiplier, and multiply the final remainder by that already obtained from the multiplicand. If this product contain two figures, undecimate as before, and take the remainder, thus obtained, from the left hand figure of the product, this remainder from the next, going from right to left. If the final remainder be zero, the product may be regarded correct. […] 3 from 13 (borrowing) = 10, 10 from 18 = 8. Again, 1 from 4 = 3, 3 from 13 = 10, 8 × 10 = 80. Here we have, undecimating, 8 from 11 = 3; and then beginning on the right of the product, we have 3 from 4 = 1, 1 from 3 = 2, 2 from 4 = 2, 2 from 6 = 4, and 4 from 4 = 0. […] This method is equally applicable to division, where we consider the Divisor and Quotient as the factors, and the Dividend as the product. A remainder, if there be one, must be subtracted from the dividend before undecimating.

• 1997, Carlos Enrique d’Attellis and Elena M. Fernández-Berdaguer, Wavelet Theory and Harmonic Analysis in Applied Sciences, pages 46⁽¹⁾ and 47⁽²⁾

  ⁽¹⁾ At this point, we are in condition to state the recursive scheme of the undecimate cardinal algorithm, to compute the values of the discret transform from the sampling values of the signal.

  ⁽²⁾ […] using formulas 3.44 and 3.45 we formulate the undecimate cardinal algorithm from orthogonal spline wavelets: […]