About: Binomial approximation

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The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that It is valid when and where and may be real or complex numbers. The benefit of this approximation is that is converted from an exponent to a multiplicative factor. This can greatly simplify mathematical expressions (as in ) and is a common tool in physics.

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rdf:type	Thing
rdfs:label	Binomial approximation (en)
rdfs:comment	The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that It is valid when and where and may be real or complex numbers. The benefit of this approximation is that is converted from an exponent to a multiplicative factor. This can greatly simplify mathematical expressions (as in ) and is a common tool in physics. (en)
differentFrom	Binomial distribution
sameAs	Binomial approximation
dbp:wikiPageUsesTemplate	dbt:Distinguish dbt:Further dbt:Mvar dbt:Refimprove dbt:Reflist dbt:Short_description
Subject	Approximations Factorial and binomial topics
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Binomial_approximation?oldid=1071764157&ns=0
Wikipage page ID	11376019 (xsd:integer)
page length (characters) of wiki page	6646 (xsd:nonNegativeInteger)
Wikipage revision ID	1071764157 (xsd:integer)
Link from a Wikipage to another Wikipage	Smoothness Bernoulli's inequality Big O notation Binomial theorem Taylor's theorem Taylor series Calculus Approximations Factorial and binomial topics Linear approximation Square root Complex number Exponentiation Real number
has abstract	The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that It is valid when and where and may be real or complex numbers. The benefit of this approximation is that is converted from an exponent to a multiplicative factor. This can greatly simplify mathematical expressions (as in ) and is a common tool in physics. The approximation can be proven several ways, and is closely related to the binomial theorem. By Bernoulli's inequality, the left-hand side of the approximation is greater than or equal to the right-hand side whenever and . (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Binomial_approximation
is Link from a Wikipage to another Wikipage of	Binomial series Binomial theorem Fresnel zone Kinetic energy Linear approximation Gravitational energy
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Binomial_approximation

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