We prove a robust converse barrier function theorem via the converse Lyapunov theory. While the use of a Lyapunov function as a barrier function is straightforward, the existence of a converse ...

For irrational Laplace transforms, the generalized final value theorem provides the analogous result. Finally, we point to a detailed analysis of the final value theorem for piecewise continuous ...

The Langlands programme has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up ...

They are often gems that provide a new proof of an old theorem, a novel presentation of a familiar theme, or a lively discussion of a single issue. Building on two centuries' experience, Taylor & ...

Super-resolution light microscopy methods either localize single molecular labels or treat the sample as a continuous object. The fundamental requirements for super-resolution in the continuum ...

In the paper, author considers a new method for constructing the quasi-equilibrium thermodynamics of a system of ...

Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a decades-old mathematical puzzle believed to be true by leading experts in ...

README Robust Budget Allocation via Continuous Submodular Functions This repository contains the supporting code for the paper: Staib, Matthew and Jegelka, Stefanie. Robust Budget Allocation via ...

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a ...

Approximation by Polynomials Convex Functions Various Proof ζ (2) = π 2 /6 Functions of Several Variables Uniform Distribution Rademacher Functions Legendre Polynomials Chebyshev Polynomials Gamma ...