Let us suppose there are runners running at speeds around a field of circumference . Take any runner from the runners- say , who runs with speed . Say we pair him up with another runner who runs with speed . Then for time , the distance between them is , and for , theContinue reading “My first attempt at solving the Lonely Runner Conjecture”
Monthly Archives: August 2013
Proofs of Sylow’s Theorems in Group Theory- Part 1
I will try to give a breakdown of the proof of Sylow’s theorems in group theory. These theorems can be tricky to understand, and especially retain even if you’ve understood the basic line of argument. 1. Sylow’s First Theorem- If for a prime number , , and , then there is a subgroup such thatContinue reading “Proofs of Sylow’s Theorems in Group Theory- Part 1”
Today, I will discuss this research paper by Javed Ali, Professor of Topology and Analysis, BITS Pilani. What exactly is a proximinal set? It is the set of elements in which for any , you can find the nearest point(s) to it in . More formally, for each such that . This article says aContinue reading
This is the second time I’m checking whether I can write a LATEX equation in wordpress.