The waist inequality is a fundamental fact of Euclidean geometry. It’s also a difficult theorem it’s much harder to prove than it may look at first sight. In my opinion, the waist inequality is one of the most underappreciated theorems in geometry, and so I am excited to write about it. The waist inequality also connects with several other areas of mathematics. Gromov began writing about the wa...

The Melkites, Jacobites, and Nestorians were the main Christian communities under Muslim rule. Several pre-Islamic Arab Christian authors wrote treatises concerning their beliefs in Arabic, some of which date back to the early Islamic centuries. The multiplicity of such polemical works suggests an intellectually open society and a degree of tolerance shown by Muslim leaders. Abu Raʾita...

CASE The parents of a 6-year-old boy whom you have known most of his life request a long appointment to discuss some recent troublesome behaviors. Apparently, the first-grade teacher is concerned about his being withdrawn and quiet in class and hanging back from his classmates in free-play time. Occasionally he is aggressive with the other children. This behavior puzzles his parents because he ...

By his mid-forties, Darwin had established his scientific reputation, was married with a young family and had built on the solid connections that came with his and his wife's well-known middle class families. 'He was one of the kindest and truest men that it was ever my good fortune to know,' said his influential scientific colleague, Thomas Huxley. With no need to seek employment, Darwin took ...

contradictory messages, so it can be comforting to cling to advice that appears constant. One concept on which the nutritional cognoscenti are united is the value of eating a diet rich in fibre.' 1 This quote from a doctor writing in a British broadsheet newspaper illustrates many of the problems faced by nutritional epidemiologists and health practitioners who try to determine the health damag...

was among the last of RA Fisher's students and disciples and, as a result, he had an enormous influence both on my career and on my attitudes to science and scientific research. In the summer before I started taking Fisher's lecture courses in statistical and mathematical population genetics, I was given a reading list that included Fisher's three outstanding books, The Genetical Theory of Natu...

The article reveals the reasons and prerequisites of 1905 Additional Petition by Taurian mufti A. Karashaysky on behalf Muslims Crimean Peninsula that was addressed to Chairman Minsters’ Committee where he wrote about expansion Mohammedan Spiritual Board’s competence necessity increasing status Islamic institutes. Providing comparative analysis between Public from Tatars author allocates genera...