Artificial Intelligence vs. an IMO Medalist?
Artificial intelligence models such as Chat GPT are often criticized for their mediocre problem solving abilities. Although they can effortlessly churn out undergraduate-level essays and regurgitate vast amounts of information, they often fail in the face of tasks that demand creative thinking.
The Shoelace Theorem
The Shoelace Theorem, despite its laughable name, is very useful in geometric mathematics. Proposed by the mathematician Albrecht Meister, this theorem became a foundation of many higher uses for polygon geometry.
The British Flag Theorem
In the great landscape of mathematics, within the abstractions and equations, there are some theorems with names that stand out, evoking images far removed from the world of numbers and proofs. One such oddly named theorem is the British Flag Theorem.
The Chicken McNugget Theorem
Enter the Chicken McNugget Theorem. Despite its whimsical name, this theorem has a surprisingly strong mathematical foundation. It's not about the taste of those crispy, golden nuggets or the questionable nutritional value they offer; instead, it's a fascinating exploration into the world of number theory.
Non-Euclidian Geometry
Imagine you're used to drawing lines and shapes on a flat piece of paper—this is what's called Euclidean geometry, named after the ancient Greek mathematician Euclid. In Euclidean geometry, you're probably familiar with concepts like parallel lines never meeting and the sum of angles in a triangle equaling 180 degrees.
The Not-So Mysterious World of Neural Networks-
Science in the 21st century has seen a crucial paradigm shift following the advent of machine learning techniques. By taking advantage of computational power and mathematical algorithms, machine learning provides a robust toolkit with which to tackle complex problems.
UNITopia: What are these Units?
This article from ScienceRewired will explore the intricate world of funny, crazy, and even cursed units.
Fermi’s Paradox: Are we Really Alone?
Fermi's paradox is best summarized with physicist Enrico Fermi’s earnest question: “but where is everybody?”
The Pythagorean Theorem: The Foundation of Geometry
Throughout history, many mathematicians have left their mark on society, with world-changing formulas and discoveries. However, there are arguably no other formulas that have helped society as much as the Pythagorean theorem.
Schelling’s Model of Segregation - Mathematical Insights into Society
Rampant political polarization is characteristic of our era, and it is difficult to overstate the self-sustaining nature of segregation. Alarmingly, we often fail to acknowledge the role of voluntary segregation in constraining our social landscapes; we find ourselves exclusively surrounded by those who echo our sentiments and operate under the faulty assumption that our ideologies and life trajectories are the default.
Mathematics, Warren Buffet, and the Stock Market: How Math is Still Practical
The field of mathematics often feels excessive, abstract, and overall disconnected from reality. Students often question the purpose of what they are learning and how math - beyond the very basics - helps in the real world. But have you heard of Warren Buffett?
Where to Next? The Traveling Salesman Problem
Imagine you're a traveling salesperson with clients scattered across the US. You're faced with a common but puzzling problem: What's the best way to reach each client and make it back home efficiently? At first glance, it might seem simple, but the number of possibilities can be mind-boggling and challenging to optimize. The Traveling Salesman Problem has been around for more than two centuries and has been at the heart of the study of optimization.
Playing with Numbers: Unraveling the Math in Our Favorite Games
In the realm of games and fun, numbers often steal the show. Whether it's plotting chess moves, figuring out poker odds, or cracking Sudoku puzzles, math is the unsung hero that decides the winners and enhances the gaming experience. In this article, let's dive into the world of games, uncovering how math is the secret ingredient - the catalyst to games’ enjoyability and mental stimulation.
Antibiotics and the Challenge of Bacterial Resistance
Antibiotics, once hailed as miracle drugs in the fight against bacterial infections, have encountered a formidable adversary - bacterial resistance. The evolution of resistance among bacteria poses a significant threat to the efficacy of antibiotics, leading to an escalating global health crisis. This paper explores the mechanisms of bacterial resistance, the drivers behind antibiotic evolution, and the urgent need for innovative strategies to address this mounting challenge.
The Infinite Odyssey: Navigating the Levels of Infinity
In the realm of mathematics, few concepts are as mind-bending and enigmatic as infinity. It's a notion that has puzzled philosophers, mathematicians, and curious minds for centuries, leading us on an infinite odyssey through the abstract landscapes of number theory. But what if you were told that infinity is not just a singular concept? That's right; infinity comes in various flavors, each more mysterious than the last. In this article by Science Rewired, we will explore the different levels of infinity, a (literally) never-ending topic.
The Golden Ratio
In the world of art, architecture, and nature, there exists a captivating and harmonious proportion known as the golden ratio. This mathematical concept, denoted by the Greek letter φ (phi), has intrigued mathematicians, artists, and scientists for centuries.
Number Theory: Why are Integers Important?
In the labyrinth of mathematics, where numbers hold the keys to understanding the universe's deepest secrets, one discipline stands out as the enigmatic guardian of integers — number theory.
The Battle of the Scales
You’ve probably measured the temperature of something or someone. If you’re from the USA you’ve measured it in °F, but if you’re from Iran, you must measure in °C. Maybe you’re a scientist, and your go-to is the Kelvin Scale. So, how did this battle start?
Analyzing the Predictive Power of Recurrent Neural Networks
A Recurrent Neural Network (RNN) is a type of neural network that can use its internal state (memory) to process sequences of inputs, making it highly effective in tasks that require a temporal dimension, such as predicting the next word in a sentence or the next frame in a video, or, in this case, the following number in a sequence generated by the Java PRNG.
P-Adic Numbers
Take the number 5. Square it, and you get 25. Take the number 25. Square it, and you get 625. Take the number 625. Square it, and you get 390,625. There is a pattern. 5 squared ends in 5. 25 squared ends in 25. 625 squared ends in 625.