A subset X of a Polish group G is called Haar null if there exists a Borel set B ⊃ X and Borel probability measure μ on G such that μ(gBh) = 0 for every g, h ∈ G. We prove that there exist a set X ⊂ R that is not Lebesgue null and a Borel probability measure μ such that μ(X + t) = 0 for every t ∈ R. This answers a question from David Fremlin’s problem list by showing that one cannot simplify th...

A subset X of a Polish group G is called Haar null if there exists a Borel set B ⊃ X and Borel probability measure μ on G such that μ(gBh) = 0 for every g, h ∈ G. We prove that there exist a set X ⊂ R that is not Lebesgue null and a Borel probability measure μ such that μ(X + t) = 0 for every t ∈ R. This answers a question from David Fremlin’s problem list by showing that one cannot simplify th...

Department of Fishing and Processing Technology, Faculty of Fisheries, University of Süleyman Demirel, Isparta, Turkey; 2 Departmento de Engenharia Alimentar, Instituto Superior de Engenharia, Universidade do Algarve and Centro de Ciências do Mar CCMar – CIMAR Laboratório Associado, Faro, Portugal; 3 CIMA Centro de Investigação Marinha e Ambiental and Departamento de Engenheria Alimentar, Insti...

Political participation is sine qua non of women’s empowerment. has various dimensions, such as electoral participation; to participate in election a voter and representation; elections candidate. The proposed study limited the women voters. This research includes major findings about urban rural areas NA-29 Peshawar111 constituency general 2018. A Chi-square test performed check association be...

White (1937) however state that it is not so rare as is generally supposed. MacCallum (1928) states that tubercle bacillus is one of the common causative organisms in cases of pericarditis and Wells (1901, 1902) to whose work Pyrah and Pain referred states that he found 10 cases of tuberculous pericarditis in 1,048 autopsies. Incidence in India is not known to the writer but presumably it is hi...

no fresh emphasis. Modern work shows that besides the size of the pelvis, other factors, like its shape and midpelvic capacity, greatly influence the mechanism of labour. New classifications depending on the pelvic inlet, shape and other morphological features have. been adopted by various authors. Very little has been done in India to enlighten the obstetricians about this very important facto...