Abstract: Fully homomorphic encryption supports meaningful computations on encrypted data, and hence, is widely used in cloud computing and big data environments. Recently, Li et al. constructed an ...

It’s no secret that many of us are not too fond of mathematics and geometry, and that it is often too complex. But even so, it can be pretty mind-blowing to look back in history and discover the ...

In this article we prove two characterizations of the Euclidean ball: (i) the only convex body in ℝ³ such that every normal plane bisects the volume (or surface area) is the Euclidean ball, (ii) the ...

Abstract: Coprime pairs of integer matrices have applications in various fields, including multirate systems and multidimensional signal processing. This paper addresses problems related to coprime ...

Mystical's structure is based around 'rings' with inner and outer borders - the outermost ring starts at the 3 o'clock position and flows counterclockwise, performing tasks depending on the shape it ...

Programming is both an enjoyable and a difficult task. A seemingly small slip can introduce a serious error or create a security vulnerability. The need for, and ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2009. Contributed by Christos Papadimitriou, September 12, 2014 (sent ...

Continued fractions constitute a very important subject in mathematics. Their importance lies in the fact that they have very interesting and beautiful applications in many fields in pure and applied ...