The most famous packing problem concerns spheres. In 1611, the astronomer Johannes Kepler proposed that the densest way to ...

We give an abstract characterization of the fixed point subalgebra of the irrational rotation algebra under the flip U → U −1, V → V −1, where U, V are the canonical unitaries generating the ...

In [7] J. Franks proves the existence of infinitely many closed geodesics for every Riemannian metric on S 2 which satisfies the following condition: there exists a simple closed geodesic for which ...

We evaluate our Qwen2.5-Math base models on three widely used English math benchmarks GSM8K, Math, and MMLU-STEM. In addition, we also evaluate three Chinese math benchmarks CMATH, GaoKao Math Cloze, ...

The most recent answer for the clue is ORBS What is the 4-letter answer for Spheres crossword clue? ORBS When has Spheres crossword clue been used historically? Missing Letter Crossword - June 8 2025 ...

But until that lesson, I had never actually thought about why ice cubes are shaped that way. Is everyone secretly building ...

The way we approach education, particularly in mathematics, has changed a lot over the past few years. As students face increasingly complex math problems, AI-powered tools have emerged as invaluable ...

As I contemplated on her deeds and demise, it dawned on me of the stark and painful reality that we have lived with for decades: we live in one country, but we inhabit two different spheres.

ROME (AP) — Arnaldo Pomodoro, one of Italy's most prominent contemporary artists whose bronze spheres decorate iconic public spaces from the Vatican to the United Nations, has died at age 98 ...

Arnaldo Pomodoro, a titan of contemporary Italian art, passed away at the age of 98, leaving behind a legacy of thought-provoking bronze spheres. His foundation confirmed his death on Monday, noting ...