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For example, Sir Isaac Newton used his binomial theorem to calculate 16 decimal places quickly.
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For each pattern position, we used Bayes theorem to calculate the raw probability for a helix helix interaction, given the 289 coupling strengths.
Multinomial theorem, in algebra, a generalization of the binomial theorem to more than two variables.
The above result could be found from an inductive process, using the product rule, but the inductive step is similar to that which allows extension of the binomial theorem to all positive integers, and adds little to this presentation.
In this paper, we use the q-binomial theorem to establish an inequality for the q-integral.
A posthumous work of 1665 by Pascal on the "arithmetic triangle" now linked to his name (see binomial theorem) showed how to calculate numbers of combinations and how to group them to solve elementary gambling problems.
The above binomial theorem was used to calculate the probabilities of zero or one female mating simultaneously, and this value was then subtracted from one to give the probability of two or more females mating simultaneously [10].
We used binomial regression to calculate RRs adjusted for possible confounders.
Pythagoras' theorem was used to calculate the absolute stopping force in an arbitrary direction.
Castigliano's theorem is used to calculate the limb deflection.
Negative binomial regression was used to calculate the average annual change in agricultural injury rates over time.
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