Two mathematicians have proved that a straightforward question — how hard is it to untie a knot? — has a complicated answer.

The Busy Beaver Challenge, a notoriously difficult question in theoretical computer science, is now producing answers so large they’re impossible to write out using standard mathematical notation.

Architect Eric Epstein reflects on the golden ratio, a principle that links design, art, music and nature, and continues to shape our sense of beauty today.

How often have we seen the Bears lose these games over the last five years? You’d have to go back to 2020 when they went on an improbable run at the start of a season with comeback wins to accurately ...

To apply the dollar currency to a value, select the cell, press Ctrl+1 to launch the Format Cells dialog box, and select "Currency" or "Accounting" in the Number tab. Then, choose the dollar symbol ...

As you travel in rural Indiana this time of year, you may happen upon a field of sunflowers. It’s so beautiful that drivers will occasionally pull off on the side ...

With the formula below, a magic number determines how close a given team is to clinching its given goal.

Dice are not just accessories: in many board games they drive rhythm, tension, and player decisions. From family classics to strategic ...

In this important work, the authors present a new transformer-based neural network designed to isolate and quantify higher-order epistasis in protein sequences. They provide solid evidence that higher ...