Using a relationship derived from a special case of DeMoivre's Theorem, we can express the sine and cosine functions as infinite series of generalized binomial coefficients. We will derive these ...

Inequalities in mathematical analysis constitute a fundamental tool for establishing bounds and approximations for a diverse array of functions. They underpin many theoretical results while also ...

To obtain test probabilities based on empirical approximations to the distribution of a Studentized function of a mean, we need the approximations to be accurate with sufficiently high probability. In ...