This requires an algorithm: students are taught to stack one number atop another and multiply each digit of the bottom number ...

Math classrooms shifted over time to the discovery model. Not suddenly, and not without good intentions. There was a ...

Before modern computers existed, Alan Turing reduced all of mental work to three primitive operations on an infinite tape.

Every algorithm ever written reduces to just two ingredients and two fundamental questions about time, space, and correctness ...

Rakesh Sharma is a writer with 8+ years of experience about the intersection between technology and business. Rakesh is an expert in investing, business, blockchain, and cryptocurrencies. Somer G.

In March 2025, mathematician Daniel Litt made a bet. Despite the march of progress of artificial intelligence in many fields, he believed his subject was safe, wagering with a colleague that there was ...

Researchers at the University of Science and Technology of China have developed a new reinforcement learning (RL) framework that helps train large language models (LLMs) for complex agentic tasks ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...

For decades, philosophers, technologists, and even billionaires like Elon Musk have toyed with the idea that our universe might be a highly sophisticated computer simulation. The idea represents one ...

The idea that we might be living inside a vast computer simulation, much like in The Matrix, has fascinated philosophers and scientists for years. But a new study from researchers at the University of ...

In his keynote address, Sameer Prabhu, Worldwide Industry Marketing Director at MathWorks, spoke on “Driving the Future: Transformational Changes in the Automotive Industry.” He emphasized how ...

The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...