Sentence examples for binomial theorem in which from inspiring English sources

Rice TARs were scored using a method based on the binomial theorem in which at least five consecutive probes whose intensities lie in the 80th percentile were identified [24].

By using (1) and binomial theorem in the above equation, we arrive at the desired result.

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

The season kicked off with the haunting Theorem, in which Stamp starred as the Visitor for Pier Paolo Pasolini.

Gödel used a similar diagonal argument in his proof of the Incompleteness Theorem in which he constructed a sentence, \(J\), in number theory whose meaning could be understood to be, "\(J\) is not a theorem".

Belevitch first introduced the great factorization theorem in which he gives a factorization of paraunitary matrices.

where the last inequality is obtained by applying Newton's binomial theorem, which states that Aℓ+1+Bℓ+1<(A+B)ℓ+1 for any A,B>0, using A=s′−s k >0 and B=sk+1−s′>0.

Playing one million times is modelled by the binomial distribution, which is closely related to the binomial theorem.

If both of these statements are true, then it is hard to avoid the conclusion that Khayyam had within his power the binomial theorem (a + b n = an + nan−1b + … + bn, which would be the earliest appearance of this important result in medieval Islam.

Following the work of Desmond (1986) as described in Section 3.1, the binomial theorem can be applied.

where asymptotic equality in (45) follows from the binomial theorem.