Blog posts

Syntax Part 1 - Recursion, Constituent Units, and Trees

Cool Linguistics Stuff
Cool Computer Science Stuff

How are sentences actually formed in language? This post is answering the first part of this question.

Jun 10, 2026
Vaishnav Sudarshan

Abstract Derivatives Part 2 - Multivariable and Beyond

Cool Math Stuff
Cool AI Stuff

How can the idea of derivatives as linear operators be applied to more complex functions, like multivariable functions, vector-valued functions, and vector fields? How does this relate in the slightest to AI?

Nov 23, 2025
Vaishnav Sudarshan

Diagram of what we seek

Why orbits have equal area in equal time

Cool Physics Stuff
Cool Astronomy Stuff
Cool Math Stuff

You may have heard the Kepler’s law about planets sweeping equal areas in equal times, but this kind of sounds weird. Here’s the proof.

Jun 8, 2026
Vaishnav Sudarshan

Why would anyone in their right mind do it like this?

Cool Math Stuff

I found this problem that’s really easy but I had a really goofy solution.

Dec 16, 2025
Vaishnav Sudarshan

Nice Puzzle to Distract My Ice Skating

Cool Math Stuff

Lol I found this while ice skating and proved it as rigorously as possible in my head while simultaneously figuring out how to ice skate without looking like a monkey.

Nov 22, 2025
Vaishnav Sudarshan
 

The IPA

Cool Linguistics Stuff

We know how sounds work biologically and how they are perceived, but how do linguists write them?

Sep 14, 2025
Vaishnav Sudarshan

Morphology

Cool Linguistics Stuff

How do languages organize different units of meaning in a word? What even is a word? How does meaning relate to writing and sound? All of these and more will be answered in this blog post.

Oct 13, 2025
Vaishnav Sudarshan

Phonology

Cool Linguistics Stuff

We know how sounds work biologically, but how do languages perceive them?

Sep 14, 2025
Vaishnav Sudarshan

Historical Linguistics Part 1: The Beginning of Linguistics

Cool Linguistics Stuff
Cool History Stuff

How did people suddenly start thinking about languages scientifically? What were the results of this primary branch of linguistics?

Jan 29, 2026
Vaishnav Sudarshan

Limit riLmOtOpU (Limit For Monkeys)

Cool Linguistics Stuff
Cool Conlang Stuff
I first heard of constructed languages, or conlangs, when I heard of Esperanto. I did my research and found out that Esperanto is a terrible conlang for reaching its…
Jul 3, 2025
Vaishnav Sudarshan
 

Phonetics

Cool Linguistics Stuff

How do sounds work? What are some features of sounds that different languages distinguish between or care about? How do you organize any sound biologically possible for humans? All these and more will be answered in this blog post.

Sep 14, 2025
Vaishnav Sudarshan

Why Pi is not, in fact, equal to 4

Cool Math Stuff

Most problems are either computational or proofs… but this one’s a disproof, which will hopefully spice up 2026 a little.

Jan 29, 2026
Vaishnav Sudarshan

Diagram showing the constants rule of linear transformations

Abstract Derivatives Part 1 - Linear Operators

Cool Math Stuff

Answering the following questions - Why are matrices considered linear? How can differentiation also be interpreted as this?

Nov 23, 2025
Vaishnav Sudarshan

Writing Systems

Cool Linguistics Stuff

How do different types of writing systems work? What are they evolved from, and how? All these and more will be answered in this blog post.

Aug 23, 2025
Vaishnav Sudarshan
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