The original version of this story appeared in Quanta Magazine. The Chinese AI company DeepSeek released a chatbot earlier this year called R1, which drew a huge amount of attention. Most of it ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Will Kenton is an expert on the economy and investing laws and regulations. He previously held senior editorial roles at Investopedia and Kapitall Wire and holds a MA in Economics from The New School ...

You may have heard that you should try to avoid eating too many simple sugars, but what does that mean? What are simple sugars? Are simple sugars carbohydrates? To answer both questions: simple sugars ...

Horizontal lines run left to right, parallel to the horizon, with slope 0 and equation y = k. Vertical lines run top to bottom, perpendicular to the horizon, with undefined slope and equation x = k.

Have you ever found yourself staring at a blank page, trying to organize a complex idea or process, but not knowing where to start? Whether it’s mapping out a workflow, designing an organizational ...

What if you’ve already seen fragments of the future - without realizing it? In this thought experiment grounded in Einstein’s relativity, we unpack how a simple diagram changes our entire ...

Many top tax prep companies have a free tier for filers with a simple tax return, the most basic version you can file. A simple return is typically prepared using IRS Form 1040, with income from a ...

Carbohydrates are a macronutrient found in a variety of food sources. There are several types, which can differ in terms of nutritional value and effects on health. Carbohydrates are a major ...