Hey, I'm Urmzd!
Hey! I’m Urmzd Mukhammadnaim (
My father — a history enthusiast from
This name holds great meaning to me, and this site is my attempt to stay true to it.
This is meant to be a living document — posts may be refined, opinions may evolve, and ideas may deepen as I grow. Since I value transparency and honesty, all changes are tracked on
A small note before we continue: each post will close with a brief snippet from a different domain. I hope that by sharing these, it’ll encourage people to explore topics beyond what they know or believe they know.
What does staying true to that name look like in practice? It starts with three principles that guide everything I do.
Core Principles
I hold honesty, freedom, and family dear to me. These core principles inform the decisions I make.
- Honesty: The pursuit and belief in absolute truth within oneself.
- Freedom: A state in which one is unbounded by the assumptions created internally or externally
- Family: Relationships in which the kindness received produces profound changes to the state of one’s life
With this in mind, I believe it’s difficult to learn about someone without understanding their story. Instead of just describing who I am, let me show you through the milestones that shaped me.
The Timeline
2010
Created a YouTube channel and started my short stint as a Graphics Designer and Video Effects Editor.
Created a YouTube channel and started my short stint as a Graphics Designer and Video Effects Editor.
2010
2015
Competed for the first time in Muay Thai.
Competed for the first time in Muay Thai.
2015
2018
Had my last amateur Muay Thai fight.
Went to Dalhousie University out in Halifax, Nova Scotia to pursue Computer Science & Mathematics.
Had my last amateur Muay Thai fight.
Went to Dalhousie University out in Halifax, Nova Scotia to pursue Computer Science & Mathematics.
2018
2022
Competed for the first time in Brazilian Jiu-Jitsu.
Competed for the first time in Brazilian Jiu-Jitsu.
2022
2023
Graduated from Dalhousie University in May with a Bachelor of Computer Science with Honours, a minor in Mathematics, and a certificate in Artificial Intelligence & Intelligent Systems. During my time at Dalhousie I connected and worked with amazing people through internships, contracts, and projects.
Honors ThesisBy the end of the year, I had dominated at the BJJ tournaments and earned my blue belt. This is one of the first tournaments where I was able to get 4 straight submissions — receiving my first gold medal.
Graduated from Dalhousie University in May with a Bachelor of Computer Science with Honours, a minor in Mathematics, and a certificate in Artificial Intelligence & Intelligent Systems. During my time at Dalhousie I connected and worked with amazing people through internships, contracts, and projects.
Honors ThesisBy the end of the year, I had dominated at the BJJ tournaments and earned my blue belt. This is one of the first tournaments where I was able to get 4 straight submissions — receiving my first gold medal.
2023
2024
Started travelling. I've been to 9 different countries since February and hope to learn about more cultures and study many more languages.
Photo by Zach Gilseth on Unsplash
Moved to Austin, Texas.
Photo by Justin Wallace on Unsplash
Started travelling. I've been to 9 different countries since February and hope to learn about more cultures and study many more languages.
Photo by Zach Gilseth on Unsplash
Moved to Austin, Texas.
Photo by Justin Wallace on Unsplash
2024
Now
Building things and writing about it :)
Building things and writing about it :)
Now
That’s the path so far. Now, as promised, here’s something to spark curiosity in a completely different direction.
Snippet of the Week
With the rapid development and integration of LLMs, I believe it’s important to understand the foundations that brought us here — the people, the discoveries, and how those changes shaped where we are today.
The Foundation
To learn more about the people, take a look here:
To learn more about the math, take a look here:
The Math
Vector — An ordered list of numbers representing a point or direction in n-dimensional space:
Dot Product — The sum of element-wise products of two vectors:
Norm (Euclidean) — The “length” or magnitude of a vector:
Cosine Similarity — Measures directional similarity between two vectors (ranges from -1 to 1):
The Code
from typing import TypeAlias
from math import sqrt
# A Vector is an N-dimensional point in space.
Vector: TypeAlias = list[float]
# An Embedding is a Vector that encodes semantic meaning.
Embedding: TypeAlias = Vector
# Dot product: sum of element-wise products of two vectors.
def dot_product(a_vec: Vector, b_vec: Vector) -> float:
return sum(a*b for a,b in zip(a_vec, b_vec))
# Euclidean norm: the magnitude (length) of a vector.
def norm(vec: Vector) -> float:
return sqrt(sum(a**2 for a in vec))
# Cosine similarity: measures directional alignment between two vectors (-1 to 1).
def cosine_similarity(a: Embedding, b: Embedding) -> float:
return dot_product(a, b) / (norm(a) * norm(b))The Connection
Modern LLMs like GPT, Claude, Gemini, and others convert text into high-dimensional vectors called embeddings — numerical representations that capture semantic meaning. Words, sentences, or entire documents that are similar in meaning end up as vectors pointing in similar directions.
When you search for something using an AI-powered tool, or when a chatbot retrieves relevant context from a knowledge base, cosine similarity is often the mechanism comparing your query’s embedding against stored embeddings. This is the foundation of:
- Semantic search: Finding documents by meaning, not just keyword matches
- Retrieval-Augmented Generation (RAG): Giving LLMs relevant context before answering
- Recommendation systems: Suggesting similar content based on vector proximity
The math above — developed centuries ago by mathematicians studying triangles and angles — now powers the similarity calculations running billions of times daily across AI systems worldwide.
Recommended Books
Two books that have shaped my thinking:
-
Meditations: Marcus Aurelius - On finding inner peace through accepting what we cannot control and living virtuously regardless of circumstance.
-
Dare to Lead: Brené Brown - On the courage to be vulnerable and how authentic connection creates meaningful leadership.