| dbo: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) |
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dbr:Calculus dbr:Bernoulli's_inequality dbr:Binomial_theorem dbc:Approximations dbc:Factorial_and_binomial_topics dbr:Complex_number dbr:Linear_approximation dbr:Smooth_function dbr:Exponentiation dbr:Taylor's_theorem dbr:Big_O_notation dbr:Taylor_Series dbr:Square_root dbr:Real_number |
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dbc:Approximations dbc:Factorial_and_binomial_topics |
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owl:Thing |
| 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) |
| rdfs:label |
Binomial approximation (en) |
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dbr:Binomial_distribution |
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freebase:Binomial approximation wikidata:Binomial approximation https://global.dbpedia.org/id/4YY7t |
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wikipedia-en:Binomial_approximation?oldid=1071764157&ns=0 |
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wikipedia-en:Binomial_approximation |
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dbr:Binomial_series dbr:Binomial_theorem dbr:Linear_approximation dbr:Fresnel_zone dbr:Gravitational_energy dbr:Taylor_series dbr:Kinetic_energy |
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wikipedia-en:Binomial_approximation |