# Binomial Sentence Examples

Converted species names are based on the accepted

**binomial**under the preexisting code.This study focuses negative

**binomial**distribution but business groups.If we make large enough to expand the numerator using the

**binomial**theorem (so that behaves as ), then as.Also, you will need to know very basic combinatorial concepts, in particular

**binomial**coefficients.Example 1.. 15 Use the

**binomial**theorem to expand (x + y) 5.Continued fractions, one of the earliest examples of which is Lord Brouncker's expression for the ratio of the circumference to the diameter of a circle (see Circle), were elaborately discussed by John Wallis and Leonhard Euler; the convergency of series treated by Newton, Euler and the Bernoullis; the

**binomial**theorem, due originally to Newton and subsequently expanded by Euler and others, was used by Joseph Louis Lagrange as the basis of his Calcul des Fonctions.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.This is the

**binomial**theorem for a positive integral index.A converted name is a name established under the PhyloCode and derived from a preexisting Linnaean

**binomial**.As these indices represent discontinuous data, it would be preferable to use the negative

**binomial**or the Poisson distribution.AdvertisementLiving below the special service delivery a negative

**binomial**.The second part of the Latin

**binomial**, acris, completes the unique scientific name of this species.There are extensions of the

**binomial**theorem, by means of which approximate calculations can be made of fractions, surds, and powers of fractions and of surds; the main difference being that the number of terms which can be taken into account is unlimited, so that, although we may approach nearer and nearer to the true value, we never attain it exactly.These ideas are further developed in various papers in the Bulletin and in his L'Anthropometrie, ou mesure des differentes facultes de l'homme (18'ji), in which he lays great stress on the universal applicability of the

**binomial**law, - according to which the number of cases in which, for instance, a certain height occurs among a large number of individuals is represented by an ordinate of a curve (the**binomial**) symmetrically situated with regard to the ordinate representing the mean result (average height).More generally, if we have obtained a as an approximate value for the pth root of N, the

**binomial**theorem gives as an approximate formula p,IN =a+6, where N = a P + pap - 19.Advertisement**Binomial**name Equus caballus Linnaeus, 1758 The horse (Equus caballus, sometimes seen as a subspecies of the Wild Horse, Equus ferus caballus) is a large odd-toed ungulate mammal, one of ten modern species of the genus Equus.This accounts for the fact that the same table of

**binomial**coefficients serves for the expansions of positive powers of i+x and of negative powers of i - x.The

**binomial**theorem is a celebrated theorem, originally due to Sir Isaac Newton, by which any power of a**binomial**can be expressed as a series.It is to be noticed that each number is the sum of the numbers immediately 35 above and to the left of it; and 35 that the numbers along a line, termed a base, which cuts off an equal number of units along the top row and column are the co efficients in the

**binomial**expansion of (I+x) r - 1, where r represents the number of units cut off.A multinomial consisting of two or of three terms is a

**binomial**or a trinomial.AdvertisementThe

**binomial**theorem gives a formula for writing down the coefficient of any stated term in the expansion of any stated power of a given**binomial**.The

**binomial**theorem for positive integral index may then be written (x + y) n = -iyi +.This property enables us to establish, by simple reasoning, certain relations between

**binomial**coefficients.If we represent this expression by f (x), the expression obtained by changing x into x-+-h is f(x+h); and each term of this may be expanded by the

**binomial**theorem.Linnaeus by his

**binomial**system made it possible to write and speak with accuracy of any given species of plant or animal.AdvertisementLinnaeus' invention of

**binomial**nomenclature for designating species served systematic biology admirably, but at the same time, by attaching preponderating importance to a particular grade in classification, crystallized the doctrine of fixity.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.He introduced the sign (=) for equality, and the terms

**binomial**and residual.