Abstract: The numerical method presented in this paper permits the solution of differential equations by trapezoidal integration in a time of order log2 T, where T is the number of discrete time steps ...

Abstract: This paper considers the problem of minimizing the expected value of a (possibly nonconvex) cost function parameterized by a random (vector) variable, when the expectation cannot be computed ...

A right triangular plate scaled by a factor two generates a bigger plate composed of four triangular plates the same size as the original. By using dimensional analysis we write the moment of inertia ...

The Pythagorean theorem stands as one of mathematics' most enduring and practical principles. Named after the ancient Greek mathematician Pythagoras, this fundamental concept has guided engineers, ...