This repository contains a complete formal verification of the Collatz Conjecture in Lean 4 with Mathlib. The proof establishes that for every positive integer n, repeated application of the map T(n) ...

Taxpayers will shell out more than $36,000 per tot for Mayor Zohran Mamdani’s free 2-K pilot program – roughly $13,000 more than the average cost of private child care, city officials acknowledged ...

Mathematicians just made a big leap forward on one of the field’s all-time favorite problems. Curves—squiggly lines through space, such as a comet’s trajectory or a stock market trend—are some of math ...

President Donald Trump did not, in fact, call in to C-SPAN on Friday using “John Barron” as a fake name, the network said. A man who identified himself with that name called in to C-SPAN after the ...

A pseudonym used by President Donald Trump in the 1980s and 90s popped up on Friday, when an individual identifying as a Republican from Virginia named John Barron called C-SPAN to complain about ...

Recently, internet users were caught off guard after a man sounding like Donald Trump made a call to C-SPAN on the issue of the Supreme Court’s ruling on the President’s tariffs. This led many online ...

Television network C-SPAN put rumors to rest after a caller who sounded suspiciously like President Donald Trump ignited a firestorm of speculation. "Because so many of you are talking about Friday’s ...

U.S. President Donald Trump speaks during a visit to the Fort Bragg U.S. Army base on February 13, 2026 in Fort Bragg, North Carolina (Nathan Howard/Getty Images) C-SPAN denied rumors that Donald ...

The Federal Communications Commission (FCC) is urging broadcasters to air more "patriotic, pro-America" content in honor of the 250th anniversary of the signing of the Declaration of Independence. In ...

Opened in 2019 and overlooking a tangle of palms and a serene lake, Bacoa Finca + Fogón is a popular pilgrimage spot for San Juan’s foodies. It specializes in creatively plated dishes cooked over fire ...

Five years ago, mathematicians Dawei Chen and Quentin Gendron were trying to untangle a difficult area of algebraic geometry involving differentials, elements of calculus used to measure distance ...