Mathematical Foundations

The receipt stared back at me: $47.32 for groceries. The "10% off" coupon in my hand required a $50...

Here’s a problem you probably didn’t solve in school: You’re an ambitious young plumber from Brooklyn in a world inhabited by violent human-size mushrooms calle

Two circles of radius 5 are externally tangent to each other and are internally tangent to a circle of radius 13 at points A and B, as… Continue reading on Math

The elegant idea behind seemingly difficult proofs. Continue reading on ThinkArt »

I’m not trying to get into FAANG, I’m just someone who loves math and is using this as a tool to be a better business analyst. I won an award at work for creati

Author: Supat Charoensappuech, in collaboration with Claude Sonnet 4.6 Continue reading on Medium »

the built-in Math object already has you covered. Continue reading on solo devs »

Long before Europe discovered zero, the Maya were using it in a sophisticated base-20 system. Here is how it works. Continue reading on Medium »

Euler’s equation is one of the most important achievements in the history of mathematics, establishing a deep connection between seemingly… Continue reading on

We write code every day. We have IDEs, REPLs, notebooks, and terminal sessions within arm's reach....

Hello everyone, I'm planning to start the OSSU Computer Science curriculum soon to formalize my self-taught journey. Before diving into the official program, I'

No. It increases clarity and probability, but recommendation systems remain dynamic. AI systems...

Eliminating Every Solution but One Continue reading on ThinkArt »

At first glance, this maths puzzle appears to require multivariable calculus. Continue reading on Math Games »

A Hidden Ratio Trick Continue reading on ThinkArt »

A Golden Ratio Integral Continue reading on ThinkArt »

A Golden Ratio Integral Continue reading on ThinkArt »

This is A mathematically delicious mystery Continue reading on Math Games »

This is A mathematically delicious mystery Continue reading on Math Games »

arXiv:2605.10402v1 Announce Type: cross Abstract: A finite presentation of a finite group is called `just finite' if removing any relation from R results in a p

Modeling pulley systems like elevators and weight machines make great use of a mathematician’s toolkit Continue reading on Medium »

Solving an integral using structure instead of formulas. Continue reading on ThinkArt »

Solving an integral using structure instead of formulas. Continue reading on ThinkArt »

“A circle without its circumference is nothing.” Continue reading on Medium »

arXiv:2604.23468v2 Announce Type: cross Abstract: In 2016, Viazovska famously solved the sphere packing problem in dimension $8$, using modular forms to constru

Flip the variable, unlock the structure Continue reading on ThinkArt »

Flip the variable, unlock the structure Continue reading on ThinkArt »

Non-Finite sets are a great introduction to the nature of abstract reasoning Continue reading on Medium »

The first time I tried to make a math animation, I spent four hours staring at an error message I did not understand. Continue reading on Medium »

The first time I tried to make a math animation, I spent four hours staring at an error message I did not understand. Continue reading on Medium »

Mathematics is not defining the world. It is the world that we define with mathematics.

Same shape. One formula a child can memorize. The other broke mathematicians for two thousand years. Continue reading on Medium »

“I am proud to announce the completion of the first major chapter in my technical journey: Numbers and Negative Numbers From Krista King’s… Continue reading on

Square Root in Programming – JavaScript, Python, C++ & Free Calculator As a developer,...

Neon The sum of the digits of its square is equal to the original number Take a...

1.Neon Number sum of digits of its square equals the original number. Example Number = Step 1 –...

What is prime number? A number is called a prime number if it has only two factors. Important...

"The project will take 3 months" What's the probability this prediction is correct? Statistics...

Explore 8 interactive math and physics visualizations — from chaos theory to entropy — that turn abstract textbook concepts into something you can actually feel

Most astrology content rounds the numbers. Saturn spends "about 2.5 years" in each sign. Jupiter...

PLEASE NOTE: Despite the provocative title, this article is strictly an educational...

Can a fanless M4 MacBook Air really hit 2.78 TFLOPS? Let's benchmark matrix multiplications using Apple's MLX framework and dive into the math, thermal manageme

A deep dive into PostgreSQL extended statistics, how they solve bad execution plans, and why you should use them instead of just adding more indexes.

Most AI platforms ship with no performance guarantees. OpenPawz benchmarks critical operations across sessions, memory, vector search, cryptography, audit, and

Progressive checkout optimization breaks purchase flows into modular micro experiences. Learn how headless commerce enables component based conversion

Intro Following up on our previous deep dive, we’re moving from data-model optimizations to...

Reducing Packet Loss and HLS Optimization in High-Concurrency Environments When handling...

Stock footage sites charge $15–50 for a single looping background video. Gradient flows. Plasma...