Theorems are like libraries
Theorems are like libraries
- math 8
- algorithms 6
- cs 4
- modern-analysis 4
- ganglab 2
- personal 2
- research 1
- coding 1
- combinatorics 1
- dennis-work 1
- group-theory 1
- signal-processing 1
- music 1
- linear-algebra 1
- stupid 1
math
Why are vectors vertical?
My math professors in college would often intimidate us into writing vectors as vertical, transposing them when convenient, without explaining why. This alwa...
A rough introduction to groups
I’m currently taking an abstract algebra course, taught by the amazing but quirky Michael Thaddeus. On the first day of class, he told us that this would be ...
Visualizing combinatorics with trees
In all counting problems, we have some $n$ number of items and we want to choose some $k$ of them. There are two fundamental tools for computing this - permu...
WTF is compactness
A compact set is one where every open cover has a finite subcover. WTF?
Balls and sets: Topological logic gates
In my Modern Analysis class, we went over a significant amount of basic topology. I was confused at first, but I found it ultimately gave us a toolkit of con...
A foray into metric and vector spaces
The metric space bridges real analysis with topology by introducing the notion of a distance onto a set of elements. They are a general setting for studying ...
The real numbers are an ordered field
Real numbers The set of real numbers $\mathbb{R}$ is an ordered field, meaning it’s defined as being a “tuple” of four elements, which includes An ordered...
algorithms
Theorems are like libraries
Theorems are like libraries
A comprehensive look into the YIN algorithm
For my Numerical Methods course last semester, we had to create a final project on a computational project of some interest to us. We were given the entire l...
Visualizing the string edit algorithm
For my research with Professor Dennis Shasha from NYU, we’re using the string edit algorithm to compare two ‘strings’, user-notes and midi-notes, to return a...
The art of naming variables
The helix problem Just as I thought I had finally debugged all of the edge cases of the algorithm, last week I went into the lab and was asked to try out the...
My monitor problem; an algorithm
The monitor problem I ordered a new monitor for my dorm last week, and it arrived yesterday! But it’s 16 inches large, and I’m quite lazy to retrieve it from...
A gentle introduction to the MOSES algorithm
Ganglab - Fall 2024 This past summer, I started working with the Gang Lab at Columbia University as a chemical engineering research assistant. I received a g...
cs
Theorems are like libraries
Theorems are like libraries
Visualizing the string edit algorithm
For my research with Professor Dennis Shasha from NYU, we’re using the string edit algorithm to compare two ‘strings’, user-notes and midi-notes, to return a...
My monitor problem; an algorithm
The monitor problem I ordered a new monitor for my dorm last week, and it arrived yesterday! But it’s 16 inches large, and I’m quite lazy to retrieve it from...
A gentle introduction to the MOSES algorithm
Ganglab - Fall 2024 This past summer, I started working with the Gang Lab at Columbia University as a chemical engineering research assistant. I received a g...
modern-analysis
WTF is compactness
A compact set is one where every open cover has a finite subcover. WTF?
Balls and sets: Topological logic gates
In my Modern Analysis class, we went over a significant amount of basic topology. I was confused at first, but I found it ultimately gave us a toolkit of con...
A foray into metric and vector spaces
The metric space bridges real analysis with topology by introducing the notion of a distance onto a set of elements. They are a general setting for studying ...
The real numbers are an ordered field
Real numbers The set of real numbers $\mathbb{R}$ is an ordered field, meaning it’s defined as being a “tuple” of four elements, which includes An ordered...
ganglab
The art of naming variables
The helix problem Just as I thought I had finally debugged all of the edge cases of the algorithm, last week I went into the lab and was asked to try out the...
A gentle introduction to the MOSES algorithm
Ganglab - Fall 2024 This past summer, I started working with the Gang Lab at Columbia University as a chemical engineering research assistant. I received a g...
personal
A life lesson I learned from a violent video game
I watched a documentary this morning on Silent Hill 2, a Crime and Punishment-esque video game about a man who killed his own terminally ill wife out of love...
My monitor problem; an algorithm
The monitor problem I ordered a new monitor for my dorm last week, and it arrived yesterday! But it’s 16 inches large, and I’m quite lazy to retrieve it from...
research
A gentle introduction to the MOSES algorithm
Ganglab - Fall 2024 This past summer, I started working with the Gang Lab at Columbia University as a chemical engineering research assistant. I received a g...
coding
The art of naming variables
The helix problem Just as I thought I had finally debugged all of the edge cases of the algorithm, last week I went into the lab and was asked to try out the...
combinatorics
Visualizing combinatorics with trees
In all counting problems, we have some $n$ number of items and we want to choose some $k$ of them. There are two fundamental tools for computing this - permu...
dennis-work
Visualizing the string edit algorithm
For my research with Professor Dennis Shasha from NYU, we’re using the string edit algorithm to compare two ‘strings’, user-notes and midi-notes, to return a...
group-theory
A rough introduction to groups
I’m currently taking an abstract algebra course, taught by the amazing but quirky Michael Thaddeus. On the first day of class, he told us that this would be ...
signal-processing
A comprehensive look into the YIN algorithm
For my Numerical Methods course last semester, we had to create a final project on a computational project of some interest to us. We were given the entire l...
music
A comprehensive look into the YIN algorithm
For my Numerical Methods course last semester, we had to create a final project on a computational project of some interest to us. We were given the entire l...
linear-algebra
Why are vectors vertical?
My math professors in college would often intimidate us into writing vectors as vertical, transposing them when convenient, without explaining why. This alwa...
stupid
Theorems are like libraries
Theorems are like libraries