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As the intermediate G. ruber (W) pairs are interchangeable amongst coeval couplets (their transitional form inhibits selective categorization), we generated all possible combinations of the couplets in each archive using binomial expansion (See Methods for details).
For further mathematical detail, including an explicit formula for the kth term of a binomial expansion, see binomial theorem.
Learners taught with UZWEBMAT took end-of-subject tests for permutation, combination, binomial expansion and probability containing 20, 20, 15 and 20 questions respectively.
With binomial expansion, we have (32).
The math agrees with these scenarios, and those interested can Google "binomial expansion".
Using the binomial expansion for we obtain (A2).
Again, using the binomial expansion for we obtain (A5).
Consequently, using the binomial expansion, we can obtain the CDF of (gamma _{min {mathcal {R}}}).
Bernstein polynomial is endowed with a binomial expansion ∑ i = 0 n B n i = 1.
Using this and simplifying the resulting expressions with a binomial expansion results in a linear equation given by Δτ w 1 = A 1 Δ x t.
For any positive real number a, and for |z|<1, we have the generalized binomial expansion ( 1 − z ) − a = ∑ k = 0 ∞ ( a ) k k ! z k, (9).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com