How do caterpillars keep memories after dissolving into soup? How do we transform without fragmenting? A new AI architecture ...

A childhood math pattern led me to question Jung’s claim that archetypes exist beyond the mind—and to ask which patterns come ...

At the heart of the friction is a simple contrast. The ledger must be immutable, reconcilable to the last decimal, and ...

A practical guide to the four strategies of agentic adaptation, from "plug-and-play" components to full model retraining.

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

New research reveals why even state-of-the-art large language models stumble on seemingly easy tasks—and what it takes to fix ...

A new AI developed at Duke University can uncover simple, readable rules behind extremely complex systems. It studies how ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get ...

Some people claim that π equals 0 in the complex number system, but this statement is often misunderstood or taken out of context. This explanation clearly breaks down where the idea comes from, the ...

Math students may not blink at calculating probabilities, measuring the area beneath curves or evaluating matrices, yet they often find themselves at sea when first confronted with writing proofs. But ...

A paradox sits in the middle of the energy transition math. If nearly 10 trillion dollars buys only a 7 percent reduction in fossil fuels’ share of demand, what does 304 trillion buy? The number, ...

Jean-Charles Pelland's work has been made possible by financial support from the ‘QUANTA: Evolution of Cognitive Tools for Quantification’ project, which has received funding from the European ...