Markovian Russian Roulette

Imagine you are playing a game of Russian Roulette. This game is played, of course, with a revolver: There are players. There are bullets in the cylinder. There are empty chambers in the cylinder (i.e. chambers total). At the start of the round, the bullets are loaded in a random order with unknown distribution, andContinue reading “Markovian Russian Roulette”

The Mathematics of Music

What makes a piece of music sound good? What makes the pitches that we use work? What makes something consonant or dissonant? These are some interesting questions that I will explore in this post. In my earlier post on The Physics of Sound, I discussed about understanding sound as a wave, and how loudness, pitchContinue reading “The Mathematics of Music”

Retailer Locality Simulation

Problem Statement & Motivation In this first problem exploration, I will be using this video by TED-Ed as reference: This video introduces the concept of Hotelling’s law; a game theory law which explains why two retailers selling the same product tend to set up shop close to each other. I was motivated to make thisContinue reading “Retailer Locality Simulation”

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