Built on the same architectural foundation as Gemini 3, the models are designed to handle complex reasoning tasks and support ...

David E. Dunning explores how mathematical notation is a social, world-building technology. It’s natural to think of math as being fundamentally abstract. Whether it’s invented or discovered, its ...

Abstract: The massive amounts of data processed in modern computational systems is becoming a problem of increasing importance. This data is commonly stored directly or indirectly through the use of ...

Performances in N.Y.C. Advertisement Supported by Critic’s notebook What is the purpose of a poem, an illustration or a nonsensical phrase in a score? If it makes musicians stop and think, that’s a ...

An etching of Guido d’Arezzo, from an early 20th century book (Photo: Volodymyr Polotovskyi/Dreamstime) Guido’s work quickly spread through monasteries and ...

In context: Windows has included a proprietary JavaScript engine since the release of Internet Explorer 3.0 nearly 30 years ago. Technically, JScript is Microsoft's own dialect of the ...

An ellipsis, \ldots, can be read as “and so on.” For example, 1, 2, 3, \ldots, 100 denotes the list of all numbers from 1 to 100, and 1 + 2 + 3 + \dots + 100 denotes the sum of all integers from 1 to ...

A set is an unordered collection of objects. Typically, we use upper-case letters to denote sets, and lower-case letters to denote objects belonging to a set (though not always). We use \in to ...

The bad news is that there is no single solution to Rule 16. There’s not even a daily solution, the puzzle will be different each time you play the game. So you’re going to have to do one of two ...