binomial (binomial)

and n. [ initial letter; it is, or is taken as, a noun. The specific word follows, and is usually an adjective, or used adjectively, though it may be a noun. In zoology the practice is now to write all specific words with a lower-case (or small) initial, though substantive and personal and geographical words are often written with a capital, which is the common practice in botany. Hence-( b ) Con sisting of two names: as, binomial terms. Also binominal.- Binomial coefficient, the numerical coefficient of any term in the development of ( x + y )", where n is any whole number. - Binomial development, a development by the binomial theorem. Binomial equation, an algebraical equation consisting of two terms: as, ax + bx =0.- Binomial theorem, the theorem invented by Sir Isaac Newton for raising a binomial to any power, or for extracting any root of it by an approximating infinite series. According to this theorem, we have: (x+y)2=x2+2xy+y2 (x+y)3=x3+3x2y+3xy2+y3 (x+y)=x4+4x3y+6x2y2+4xy3+y4; or, in general, n ( n - 1 ) x -2y2 + n (n - 1) ( n - 2) IMG:content-2078.png:[blocks in formation] II. n. 1. In alg ., an expre ion or quantity consisting of two terms connected by the sign + or -, denoting the sum or the difference of the two terms: as, a + b , 3a - 2c , a2 + b , x2 2√y.-2. In zoöl . and bot . , a name consisting of two terms, generic and specific, as the proper name of a species, the generic always preceding the specific word: as, Felis leo , the lion. binomial ism (bi-nō'mi-al-izm), n. [ binomial + -ism.] 1. The binomial method of nomenclature, especially in zoölogy and botany.- 2. The doctrine or use of that method. Also binomiality . binomial ist