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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Steinhaus theorem is a theorem in real analysis, first proved by H. Steinhaus, concerning the difference set of a set of positive measure.Steinhaus was born in Jas o, Austria-Hungary (now in Poland) to a Jewish family, and received his Ph.D. from Göttingen University. He was a professor at the Universities of Lwów (1920 41) and Wroc aw (1945 61), the University of Notre Dame (Indiana, USA, 1961 62), and the University of Sussex (1966), and a corresponding member of PAU (the Polish Academy of Learning) from 1945 and PAN (the Polish Academy of Sciences) from 1952, and of many international scientific societies and science academies.