Results for binomial

On this page:

Dictionary:

binomial

(bī-nō'mē-əl) pronunciation

adj.

Consisting of or relating to two names or terms.

Mathematics. A polynomial with two terms.
Biology. A taxonomic name in binomial nomenclature.

[From New Latin binōmius, having two names : BI–¹ + French nom, name (from Latin nōmen; see nominal).]

binomially bi·no'mi·al·ly adv.

#SearchBtn{margin-top:14px !important;}

Library

Columbia Encyclopedia: binomial

(bī'nō'mēəl) , polynomial expression (see polynomial) containing two terms, for example, x+y. The binomial theorem, or binomial formula, gives the expansion of the nth power of a binomial (x+y) for n=1, 2, 3,..., as follows:

where the ellipsis (...) indicates a continuation of terms following the same pattern. For example, using the formula and reducing fractions, one obtains (x+y)⁵=x⁵+5x⁴y+10x³y²+10x²y³+5xy⁴+y⁵. The coefficients 1, n, n (n−1)/1·2, etc., of x and y may also be found from an array known as Pascal's triangle (for Blaise Pascal), formed by adding adjacent numbers to find the number below them as follows:

Veterinary Dictionary: binomial

Composed of two terms, e.g. names of organisms formed by combination of genus and species names.

b. distribution — categorization of a group into two mutually exclusive subgroups, e.g. sick and not sick.
b. population — a population which can be divided into a binomial distribution.

Gardener's Dictionary: binomial

A “two-name name,” the two words in Latin that make up the botanical or scientific names of plants. The first word identifies the genus, the second the species. See also Linnaeus, Carolus; botanical Latin.

Wikipedia: binomial

In elementary algebra, a binomial is a polynomial with two terms: the sum of two monomials. It is the simplest kind of polynomial except for a monomial.

The binomial $a 2 - b 2$ can be factored as the product of two other binomials:

$a^2 - b^2 = (a + b)(a - b). \quad$

The product of a pair of linear binomials a x + b and c x + d is:

(a x + b)(c x + d) = a c x 2 + (a d + b c) x + b d .

A binomial a + b raised to the n^th power, represented as

$(a + b)^n \quad$

can be expanded by means of the binomial theorem or, equivalently, using Pascal's triangle.

		Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2007. Published by Houghton Mifflin Company. All rights reserved. Read more
		Columbia Encyclopedia. The Columbia Electronic Encyclopedia, Sixth Edition Copyright © 2003, Columbia University Press. Licensed from Columbia University Press. All rights reserved. www.cc.columbia.edu/cu/cup/ Read more
		Veterinary Dictionary. Saunders Comprehensive Veterinary Dictionary 3rd Edition. Copyright © 2007 by D.C. Blood, V.P. Studdert and C.C. Gay, Elsevier. All rights reserved. Read more
		Gardener's Dictionary. Taylor's Dictionary for Gardeners, by Frances Tenenbaum. Copyright © 1997 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. Read more
		Wikipedia. This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Binomial". Read more
		Misspellings. © 1999-2008 by Answers Corporation. All rights reserved. Read more

Search for answers directly from your browser with the FREE Answers.com Toolbar!
Click here to download now.

Get Answers your way! Check out all our free tools and products.

On this page: Print Link

	How do you change a thermostat in a 2001 Chevy Cavalier with a 2.4L engine?
	How do goldfish respond to the environment?
	How is the human egg cell adapted to its function?
	Who do donkeys mate with?
	What are the keyboard shortcuts in Microsoft Word?

binomial

See also

Tackle These

Keep Reading

Do you have the answers?