School’s in session. Let’s talk about math. Go back to your calculus class senior year in high school. You take the derivative of y with respect to x. You are finding the sensitivity to the change in ...

Let f be an analytic and univalent function on a simply connected domain D, and let λD be the hyperbolic metric on D. We prove the sharp inequality $\left| {\frac{{{f^n}\left( w \right)}}{{f\left( w ...

Let A → Ar be the map that takes a positive definite matrix to its rth power, and let DAr be the Fréchet derivative of this map. It is known that ∥DAr∥ = ∥rAr−1∥ if r ≤ 1 or if r ≥ 2, and also that ...

Proportional-integral-derivative (PID) is the most common industrial technology for closed-loop control. A proportional-integral-derivative (PID) controller can be used to control temperature, ...