IMO 2019, Problem 1

The International Math Olympiad 2019 had the following question: Find all functions such that . The reason that I decided to record this is because I thought I’d made an interesting observation that allowed me to solve the problem in only a couple of steps. However, I later realized that at least one other personContinue reading “IMO 2019, Problem 1”

Poverty, mental health and rhesus monkeys

Today I came across a very interesting paper titled “Values Encoded in orbitofrontal cortex are causally related to economic choices” by Ballesta, Shi, Conen and Padua-Schioppa. I haven’t read and analyzed the paper fully, partly because of the many statistical tools that I will have to learn to assess it carefully. However, I did manageContinue reading “Poverty, mental health and rhesus monkeys”

Economics with bad drawings

All things considered, I am not very good at reading. Let me elaborate on that. Most of my learning, throughout my life, has been based upon reading texts. Recently, while trying to wrap my head around complicated geometric notions written in texts without pictures, I realized that I was pretty horrible at understanding concepts withoutContinue reading “Economics with bad drawings”

Evolution, Wars and Game theory

This post is on Evolutionary Game Theory, derived from the book Networks, Crowds and Markets: Reasoning about a highly connected world by David Easley and Jon Kleinberg. This seemingly esoteric field shines a light on an incredible number of things, including evolution, wars, and society itself. Although the subject is inherently mathematical, the mathematics onlyContinue reading “Evolution, Wars and Game theory”

Forecasting the American presidential elections

The article that I will be talking about today is How the Economist presidential forecast works by G. Elliott Morris. I have always wanted to know more about how American Presidential forecasts work, and how reliable they are. This is my attempt to try and understand it. Note that the authors have developed a codeContinue reading “Forecasting the American presidential elections”

Social Capital: Networks and Connections

The paper that I want to review today is “Social Capital: Its Origins and Applications in Modern Sociology” by Alejandro Portes. I found this paper in the list of the most highly cited Sociology papers of the last century. This is the first paper that I’ve ever read in Sociology, and I found it toContinue reading “Social Capital: Networks and Connections”

The topology of data

The paper that I wish to discuss today is An Introduction to Topological Data Analysis: fundamental and practical aspects for data scientists, by Frederic Chazal and Bertrand Michel. Topological data analysis is an exciting new field, and this paper can be understood by people from a wide range of backgrounds. Notation: For this paper, denotesContinue reading “The topology of data”