the formula i improvised makes use of calculus to perform the same function as binomial theorem in the expansion of the mathematical function; (a+b)^n .do you think someone else has published anywork on that.
2006-07-26 09:33:07 · 4 answers · asked by ovobe 1 in Science & Mathematics ➔ Mathematics
The expansion
(a + b)^n = SUM C(n, k) * a^(n-k) * b^k
is definitely the most concise and useful expansion possible.
I would be curious what twist you give it...
2006-07-26 10:46:13 · answer #1 · answered by dutch_prof 4 · 1⤊ 0⤋
In addition to Pascal's riangle (where n has to be an integer), it is possible to do a Taylor expansion for non-integral n. This was done by Newton and is also called the Binomial Theorem.
2006-07-26 12:28:51 · answer #2 · answered by mathematician 7 · 0⤊ 0⤋
They would have...(a+b)^n is the most basic formula I can think of...surely it must be relatively easy to transfer it to calculus.
2006-07-26 09:39:20 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Do a net search on "Pacals Triangle". You will find more than you are looking for probably
2006-07-26 09:44:23 · answer #4 · answered by don1n8 4 · 0⤊ 0⤋