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 ...

N=100a+b,\quad s=a+b \,. 99\mid s(100-s) \,. Using $${100\equiv 1\pmod{99}}$$, 99\mid s(1-s) \Leftrightarrow 99\mid s(s-1) \,. Since $${99=9\cdot 11}$$ and $${\gcd(s ...

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 ...

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 ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Alternative takes on the classic step sequencer format have long been popular in the modular ...

This is the second article in a seven-part series on Algorithms and Computation, which explores how we use simple binary numbers to power our world. The first article, How Algorithms Run the World We ...