Support your confidence in this topic by refreshing your knowledge of substitution and changing the subject of formulae. A function takes an input value, applies a rule to it, and produces an output ...

Definition: Arctan is the inverse function of the tangent function which is the ratio of the side opposite an angle divided by the side adjacent to the angle (i.e., tan = opposite/adjacent). It is ...

Let Fn be a free group of rank n with free basis x1, ⋯, xn. Let {y1, ⋯, yk} be a set of k ≤ n elements of Fn, where each yi is represented by a word Yi(x1, ⋯, xn) in the generators xj. Let ∂ yi/∂ xj ...

In the paper, the authors find series expansions and identities for positive integer powers of inverse (hyperbolic) sine and tangent, for composite of incomplete gamma function with inverse hyperbolic ...