International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)
Arandelovic I. Krtinic D.An extension of Steinhaus’s theoremReporter: Arandelovic I.
In 1920 H. Steinhaus (H. Steinhaus, Sur les distances des points de mesure positive, Fund. Math. 1 (1920) 93-104) proved the following result: ‘Let A be a Lebesgue measurable set of a positive measure. Then in A exist at least two points such that distance between them is a rational number.’ To reports list |