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Abstract: Relatively few surrogate-based methods have been developed for constrained expensive black-box optimization with discrete variables. Even more scarce are surrogate methods that can also be ...

Abstract: The key features of the matphot algorithm for precise and accurate stellar photometry and astrometry using discrete point spread functions (PSFs) are described. A discrete PSF is a sampled ...

We characterize the embedding for general weighted Lebesgue spaces of monotone functions by using the analog embedding for discrete monotone sequences indexed over the integers. We then use these ...

ABSTRACT: We obtain a closed form expression for the joint probability mass function of the occupation times for a Three-State Markov chain. Our representation extends the long-standing result for a ...

I'm taking my first discrete math course. One aspect of functions has me stumped. We're asked to list the functions from a two-element set to a three-element set. And then list all the functions from ...