English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We give a short proof of the fact that there are no measurable subsets of Euclidean space (in dimension d 3), which, no matter how translated and rotated, always contain exactly one integer lattice point. In dimension d = 2 (the original Steinhaus problem) the question remains open. x0. The Steinhaus problem Steinhaus (1957) asked if there exists a subset of the plane which, no matter how translated and rotated, always contains exactly one point with integer coordinates. This question remains unanswered. In this paper we deal only with the measurable version of the Steinhaus problem in dimension d 2, in which a measurable subset E of R d is sought with the property that for almost every x2R d and for almost every isometryS :R d !R d (SE +x)\Z d = 1:

The Steinhaus tiling problem and the range of certain quadratic forms