We apply the arguments from elementary calculus that are used to differentiate cosine and sine to hyperbolic cosine and hyperbolic sine, and by so doing produce the natural exponential function by ...

A PHASE relation familiar to students of applied mathematics exists between a simple harmonic oscillation and its derivative. Similar relations exist between exponential functions and their ...

In this article, we obtain an estimator of the regression parameters for generalized linear models, using the Jacobian technique. We restrict ourselves to the natural exponential family for the ...