# Multinomial Sentence Examples

A

**multinomial**consisting of two or of three terms is a binomial or a trinomial.An expression denoting that two or more monomials are to be added or subtracted is a

**multinomial**or polynomial, each of the monomials being a term of it.In the same way we have (A-a) 2 =A 2 -2Aa+a 2, (A-a)3 = A 3 -3A 2 a+3Aa 2 -a 3, ..., so that the

**multinomial**equivalent to (A-a)" has the same coefficients as the**multinomial**equivalent to (A+a)", but with signs alternately + and -.The

**multinomial**which is equivalent to (A= a)", and has its terms arranged in ascending powers of a, is called the expansion of (A= a) n.We know that (A+a)" is equal to a

**multinomial**of n+I terms with unknown coefficients, and we require to find these coefficients.We therefore define algebraical division by means of algebraical multiplication, and say that, if P and M are multinomials, the statement " P/M = Q " means that Q is a

**multinomial**such that MQ (or QM) and P are identical.He introduced the terms

**multinomial**, trinomial, quadrinomial, &c., and considerably simplified the notation for decimals.Topics will include a review of multiple linear regression and will then focus on logistic regression and

**multinomial**logistic regression.The multi- (or poly-) nomial theorem has for its object the expansion of any power of a

**multinomial**and was discussed in 1697 by Abraham Demoivre (see Combinatorial Analysis).The terms trinomial, quadrinomial,

**multinomial**, &c., are applied to expressions composed similarly of three, four or many quantities.Advertisement