binomial theorem
The binomial theorem is a formula for the expansion of , for a positive integer and and any two real (or complex) numbers, into a sum of powers of and . More precisely,
For example, if is 3 or 4, we have:
This result actually holds more generally if and belong to a commutative rig (http://planetmath.org/Rig).
Title | binomial theorem |
Canonical name | BinomialTheorem |
Date of creation | 2013-03-22 11:46:47 |
Last modified on | 2013-03-22 11:46:47 |
Owner | KimJ (5) |
Last modified by | KimJ (5) |
Numerical id | 17 |
Author | KimJ (5) |
Entry type | Theorem |
Classification | msc 11B65 |
Classification | msc 06F25 |
Classification | msc 03E20 |
Related topic | BinomialFormula |
Related topic | BinomialCoefficient |
Related topic | BernoulliDistribution2 |
Related topic | UsingThePrimitiveElementOfBiquadraticField |