arXiv Open Access 2024

On the $N$-set occupancy problem

Ciprian Demeter Ruixiang Zhang

Lihat Sumber

Abstrak

We explore variants of the following open question: Split $[0,1]^2$ into $N^2$ squares with side length $1/N$. Is there a way to select $N$ such squares such that each line intersects only $O(1)$ of them?

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Penulis (2)

Ciprian Demeter

Ruixiang Zhang

Format Sitasi

APA MLA BibTeX

Demeter, C., Zhang, R. (2024). On the $N$-set occupancy problem. https://arxiv.org/abs/2403.10678

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓