Why Disease Spreads Exponentially
If there is one thing this pandemic has taught us, then it is that few people truly understand exponential growth. This post is an attempt to explore this magical function with minimal prerequisites.
Posts with the tag education:
Introduction to Probability
Probability theory is best understood through the lense of “the expected value”. We are fundamentally trying to understand what we can expect so the expected value is a great place to start
Matrix Multiplication
Linear functions define matrix multiplication and make matrices and linear functions effectively interchangeable.
Taylor Approximation
Let’s say we want to approximate a function $f$. In an area around $a$ the value $f(a)$ is probably a decent approximation for $f(x)$.
pq-Formula
We want to find $a_1$ and $a_2$ using only $p$ and $q$
Economics 101
Utility Everyone has preferences. In some sense it defines what being alive means and I tend to view preferences as axioms. They are also treated as axioms in economics. But what are preferences?
Formally preferences are a binary relation on the set of possible world states. The greater or equal symbol “≥” is such a binary relation for example and a good intuition for what we are getting at. We then make certain assumptions about this relation:
First of all we assume connexity (also called “completeness”). This just means that we can compare any two world states, which means that for any two world states A and B, we either “weakly prefer A over B” (A ≿ B) or we “weakly prefer B over A” or both.
Categorizing Financial Instruments
This article is supposed to be a crash course in financial markets. Discussing the most important financial instruments with their intended usage and some of their unintended usage.