It strikes fear in some hearts, boredom in others, and perhaps only a curious regard in those of us who take emotional succor from, say, the binomial theorem.
42.
He then recalculated the area with the aid of the binomial theorem, removed all quantities containing the letter " o " and re-formed an algebraic expression for the area.
43.
The square of the Gaussian integral is pi, so my logic follows from expanding and integrating the integrand using a multivariate Maclaurin series, with use of the binomial theorem.
44.
An implicit arithmetic sequences was introduced in the " al-Fakhri " written by al-Karaji around 1000 AD, who used it to prove the binomial theorem and properties of Pascal's triangle.
45.
Unfortunately, my GCSE textbook that I have doesn't cover anything like the binomial theorem, limits, or anything else that is involved in some of the more'interesting'areas of maths, such as calculus.
46.
This particular remark of Khayy�m and certain propositions found in his Algebra book have made some historians of mathematics believe that Khayy�m had indeed a binomial theorem up to any power.
47.
Using the formula involving the logarithm for g _ m ( z ) on the left, the definition of s _ n ( w ) on the right, and the binomial theorem, we obtain
48.
My theory is that you just use the binomial theorem to see that there are 8 ! / ( 4 ! 4 ! ) ways to choose 4 elements for one and 4 for the other.
49.
Although the Chinese excelled in other fields of mathematics such as solid geometry, binomial theorem, and complex algebraic formulas, early forms of trigonometry were not as widely appreciated as in the contemporary Indian and Islamic mathematics.
50.
:The clever person could recreate the standard manual algorithm as an inversion of the binomial theorem applied to the power three ( and have the wherewithal to do the same sort of thing for higher powers ).
