Vitalik Buterin argues that security is about closing the gap between user intent and system behavior through overlapping ...

Uncover the mind-bending truth about 0 𝑖 0 i and why it isn’t zero, despite what intuition might suggest. This lesson explores complex numbers, limits, and mathematical definitions to explain where ...

Computers are extremely good with numbers, but they haven’t gotten many human mathematicians fired. Until recently, they could barely hold their own in high school-level math competitions. But now ...

In the 1960s, the Soviet climatologist and mathematician Mikhail Budyko set out to investigate the potential future of a planet on the brink of nuclear Armageddon. He started by looking some 600 ...

Fifty years ago, “fractal” was born. In a 1975 book, the Polish-French-American mathematician Benoit B. Mandelbrot coined the term to describe a family of rough, fragmented shapes that fall outside ...

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 ...

Artificial intelligence for formal mathematical reasoning startup Harmonic AI Inc. announced today that it has raised $100 million in new funding on a nearly $900 million valuation to accelerate the ...

Exponential growth compounds investment returns over time, enhancing long-term wealth. S&P 500's historic 10% annual return illustrates exponential growth's impact on investments. Staying invested in ...

Many important insights can be gained through the study of complex datasets, for example from census and medical data, but these datasets often contain sensitive personal information. So, how can ...