In a manner relating to or expressed using a binomial, especially a mathematical expression with two terms.
From binomial (from bi- 'two' + Latin nomen 'name') + -ally (adverbial suffix). The adverbial form describes actions or descriptions done in a binomial way.
In probability and statistics, when you expand something binomially using the binomial theorem, you're using a mathematical shortcut that lets you solve incredibly complex problems by recognizing patterns in two-part expressions.
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