algorithmn.

1658 E. Phillips New World Eng. Words Algorithme, the art of reckoning by Cyphers.

1699 Philos. Trans. (Royal Soc.) 21 263 The Algorithm or Numeral Figures now in use.

1721 J. Wilson Let. 21 Jan. in I. Newton Corr. (1977) VII. 126 It does not appear from the Commercium that you were acquainted with the true Characteristics and Algorithm of Fluxions or Differences, before their Master.

a1739 N. Saunderson Elements Algebra (1740) I. p. xv The War that was lately waged among Mathematicians..concerning the Algorithm or Principle of Fluxions.

1781 T. Warton Hist. Eng. Poetry III. Diss. iii. sig. f3^v The first who brought the algorithm from the Saracens.

1852 R. Grant Hist. Physical Astron. Introd. 9 The ingenious algorithm of the Indians.

1900 19th Ann. Rep. Bureau Amer. Ethnol. 1897–8 826 In Arabia this mystical system preceded the simple and essentially natural, though happily conventional, system of enumeration and notation long known as algorithm (or algorism).

1811 Eclectic Rev. July 587 It [sc. the calculus of variations] wants a new algorithm, a compendious method by which the theorems may be established without ambiguity and circumlocution.

1819 Philos. Trans. (Royal Soc.) 109 319 I should prefer applying the limiting formulæ in the usual way; passing however from column to column..of the results, at first by means of the neat algorithm..and afterwards by differencing.

1836 O. Gregory Hutton's Course Math. (ed. 11) I. 231 Instead of trying other criteria, apply Horner's algorithm for reducing the equation by 1, 11 …then [etc.].

1874 Proc. Royal Soc. 1873–4 22 434 The simple functions whose properties and relations it is the object of this latter calculus to determine are, first, the three direct functions or algorithms, zⁿ, a^z, sin z.

1902 Trans. Amer. Math. Soc. 3 290 It may be determined by Euclid's algorithm for finding the greatest common divisor.

1947 F. Steinhardt tr. H. A. Bohr Almost Periodic Functions App. 97 It is a question of finding an algorithm which can furnish, for a given function f(x).., finite trigonometric sums s(x) which converge toward the function f(x).

1966 N. F. C. Owen & A. S. C. Ross tr. I. I. Revzin Models of Lang. ii. 22 A..more convenient way of arranging the phonemes is suggested. It is given by an instruction (an ‘algorithm’) consisting of six points.

2006 Focus Nov. 20/2 A calculation based on the way honeybees lead each other to nectar can help companies develop more efficient industrial practices. The Bee Algorithm..allows businesses to test their manufacturing processes against 3000 variables.

1966 Arch. Internal Med. 118 501/2 For it is in just this area where value judgments predominate..that it is most difficult to program the diagnostic algorithm to relate neurocirculatory asthenia with angina in a relative.]

1970 Sc. Med. Jrnl. 15 378 (heading) Flow charts, diagnostic keys and algorithms in the diagnosis of dysphagia.

1984 Ann. Emergency Med. 13 805 The preferred treatment for ventricular fibrillation (VF) refractory to maximal electrical defibrillation remains controversial, as evidenced by recent changes in the American Heart Association's treatment algorithm.

2003 D. P. Connelly in K. M. Ward-Cook et al. Clin. Diagnostic Technol. I. iv. 54 While the hope for clinical algorithms of more global purview was great 20 years ago, a more modest view resulted from actual experience with them.