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 ...

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 ...

Abstract: In this paper, we are targeting Altera Cyclone IV FPGA family to design an efficient GCD (Greatest Common Divisor) coprocessor based on Euclid's method with variable datapath sizes. The ...

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 ...

Abstract: In this paper, we explain the importance and applications of the Greatest Common Divisor(GCD) in the field of security. GCD of two numbers is the greatest divisor that ultimately divides ...

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 ...