Sentence examples for binomial theorem from inspiring English sources

(Consider "About binomial theorem I'm teeming with a lot o' news/With many cheerful facts about the square of the hypotenuse").

For example, Sir Isaac Newton used his binomial theorem to calculate 16 decimal places quickly.

For further mathematical detail, including an explicit formula for the kth term of a binomial expansion, see binomial theorem.

This diagram is similar to Blaise Pascal's triangle (see binomial theorem), which was discovered independently later in the West.

Covers set theory (integers, prime and rational numbers), algorithms (Euclidean, RSA encryption), theorems (Euler, Fermat, Chinese remainder), induction proofs (well-ordered sets, weak and strong induction), combinatorics (permutations, combinations, combinatorial proofs of the binomial theorem, Pascal's identity).

After a couple more questions, he said he was going to ask her one on the binomial theorem, but, as he reckoned most of his own colleagues knew nothing of it, he decided to skip it".

In mathematics, he contributed calculus and binomial theorems.

In this paper, we use the q-binomial theorem to establish an inequality for the q-integral.

We use Condorcet's binomial jury theorem (following List 2004) to explore how the quality of personal information compares to the quality of social information available to an individual.

The cooperative probability of detection Q d and false alarm Q f under this fusion rule can be derived using the Poisson-Binomial distribution theorem as [3, 14, 15] Q_{d} = sum_{k=K}^{N} sum_{mathcal{A}_{k}^{(a)} in mathcal{A}_{k}} prod_{g in mathcal{A}_{k}^{(a)}} P_{d_{g}} prod_{h in left{mathcal{N}setminus mathcal{A}_{k}^{(a)}right}} (1-P_{d_{h}}) (8).

As binomials become bigger, you may need to learn a more complex theorem called binomial expansion.