Sentence Examples


  • With Descartes the use of exponents as now employed for denoting the powers of a quantity becomes systematic; and without some such step by which the homogeneity of successive powers is at once recognized, the binomial theorem could scarcely have been detected.
  • Immediately on the completion of his Regne Animale in 1756, Brisson set about his Ornithologie, and it is only in the last two volumes of the latter that any reference is made to the tenth edition of the Systema Naturae, in which the binomial method was introduced.
  • Gmelin availed himself of every publication he could, but he perhaps found his richest booty in the labours of Latham, neatly condensing his English descriptions into Latin diagnoses, and bestowing on them binomial names.
  • (0B) = (e), &c. The binomial coefficients appear, in fact, as symmetric functions, and this is frequently of importance.
  • Other forms are n-1 n-2 2 ax +nbx x +n(n-i)cx x +..., 1121 2 the binomial coefficients C) being replaced by s!(e), and n 1, n-1 1 n-2 2 ax 1 +l i ox l 'x 2 + L ?cx 1 'x2+..., the special convenience of which will appear later.

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