Sentence examples for binomial theorem can be from inspiring English sources

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

This second theorem can be expressed as an equation: collective accuracy = average accuracy + diversity.

Pythagoras's theorem thus depends on theorems about congruent triangles, and once these and other theorems have been identified (and themselves proved), Pythagoras's theorem can be proved.

Actually, Löb's theorem can be proved quite quickly as a consequence of the second incompleteness theorem.

In terms of solid geometry, Pythagoras's theorem can be applied to three dimensions as follows.

The theorem can be extended to admittances and the encompassing concept of immittances.

From the Theorem 1, the following Theorem can be deduced directly: Theorem 2. The y* is the solution of the following problem if y* and y belong to the same superfamily.

Thus the theorem can be verified by examining the finitely many boundary cases.

The following definition and an accompanying theorem can be found in virtually any mathematical analysis textbook.

Algorithms derived from the Bayes theorem can be valid alternatives to score systems [ 21, 22].

A proof of this theorem can be found in Stroock (2005).