math

Why are vectors vertical?

1 minute read

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

2 minute read

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

4 minute read

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

2 minute read

A compact set is one where every open cover has a finite subcover. WTF?

Balls and sets: Topological logic gates

2 minute read

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

2 minute read

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

3 minute read

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...

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algorithms

A comprehensive look into the YIN algorithm

23 minute read

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

4 minute read

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

5 minute read

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

2 minute read

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

4 minute read

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...

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cs

Visualizing the string edit algorithm

4 minute read

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

2 minute read

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

4 minute read

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...

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modern-analysis

WTF is compactness

2 minute read

A compact set is one where every open cover has a finite subcover. WTF?

Balls and sets: Topological logic gates

2 minute read

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

2 minute read

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

3 minute read

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...

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ganglab

The art of naming variables

5 minute read

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

4 minute read

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...

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personal

A life lesson I learned from a violent video game

less than 1 minute read

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

2 minute read

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...

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research

A gentle introduction to the MOSES algorithm

4 minute read

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...

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coding

The art of naming variables

5 minute read

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...

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combinatorics

Visualizing combinatorics with trees

4 minute read

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...

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dennis-work

Visualizing the string edit algorithm

4 minute read

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...

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group-theory

A rough introduction to groups

2 minute read

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 ...

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signal-processing

A comprehensive look into the YIN algorithm

23 minute read

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...

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music

A comprehensive look into the YIN algorithm

23 minute read

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...

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linear-algebra

Why are vectors vertical?

1 minute read

My math professors in college would often intimidate us into writing vectors as vertical, transposing them when convenient, without explaining why. This alwa...

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stupid

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