The binomial theorem ( tear off the leg that says that the exponent has to be a natural number ) is a good example.
32.
And then the bit in that section that says " For a more extensive account of Newton's generalized binomial theorem, see binomial series "?
33.
:: : : There is yet another reason to adopt 0 0 = 1 you simply need this for the "'binomial theorem "'to work.
34.
He worked on a generalization of the binomial theorem and was a major influence in Gudermann's work on the expansion of functions into power series.
35.
This follows directly from the expansion given by the binomial theorem applied to the binomial representing the " n " th element of an arithmetic progression.
36.
And in general terms of powers of or the following is true, and can be deduced using De Moivre's formula, Euler's formula and the binomial theorem.
37.
When distance between the antennas d is very large relative to the height of the antenna we may expand x + x'- l using Generalized Binomial Theorem
38.
This is a special case of Newton's generalized binomial theorem; as with the general theorem, it can be proved by computing derivatives to produce its Taylor series.
39.
To indicate the formula for the derivative of order " n " of the product of two functions, the formula of the binomial theorem is used symbolically.
40.
Alternatively-- not recommended-- you could use Newton's generalized binomial theorem applied to the power 1 / 3 . talk ) 14 : 51, 26 May 2009 ( UTC)
