Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn't figure out. While John Nash did answer yes, he couldn't say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!
Scientists have created a blood test that can detect whether a person will develop Alzheimer's up to three years before the onset of symptoms, such as memory loss and confusion.Descrier - news and culture magazine
Tonight is an exciting night of television for anyone interested in discovering how the universe works. For those of us committed to sharing our understanding of the universe, it is particularly exciting and trepidatious to think about turning on the telly at 9:00PM tonight—tuning it to the Fox network (or National Geographic) of all places—for the […]
Amandine Shreck along with her co-authors Gersende Fort, Sylvain LeCorff, and Eric Moulines, all from Telecom Paristech, has undertaken to revisit the problem of large p small n variable selection. The approach they advocate mixes Langevin algorithms with trans-model moves with shrinkage thresholding. The corresponding Markov sampler is shown to be geometrically ergodic, which may […]
Astronomers have used NASA’s Chandra X-ray Observatory and the European Space Agency’s (ESA’s) XMM-Newton to show a supermassive black hole six billion light years from Earth is spinning extremely rapidly. This first direct measurement of the spin of such a distant black hole is an important advance for understanding how black holes grow over time. …