In the world of data analysis and statistics, continuous and discrete data play fundamental roles. These two types of quantitative data serve different purposes as people use them to draw valuable ...

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...

Forbes contributors publish independent expert analyses and insights. The Universe is out there, waiting for you to discover it. If you want to learn what the Universe is made out of at a fundamental ...

Researchers demonstrate a novel method for transforming continuous time crystals into discrete ones using subharmonic injection locking, offering new insights into symmetry breaking and control in ...

In this paper we prove the following theorem: let G be a discrete amenable group with nontrivial almost-periodic compactification, and let F be a complex-valued function defined in [-1, 1]; then F ...

Mathematics of Operations Research, Vol. 41, No. 1 (February 2016), pp. 146-173 (28 pages) This paper investigates the problem of maximizing expected terminal utility in a (generically incomplete) ...

Split a mile in half, you get half a mile. Split the half mile, you get a quarter, and on and on, until you’ve carved out a length far smaller than the diameter of an atom. Can this slicing continue ...