Appearance
🎉 your ETH🥳
"In differential geometry, Huisken's monotonicity formula states that, if an -dimensional surface in -dimensional Euclidean space undergoes the mean curvature flow, then its convolution with an appropriately scaled and time- reversed heat kernel is non-increasing... The result is named after Gerhard Huisken, who published it in 1990.. Specifically, the -dimensional time- reversed heat kernel converging to a point at time may be given by the formula :u(x,t) = \frac{1}{(4\pi (t_0-t))^{n/2}}\exp\left(-\frac{x-x_0^2}{4(t_0-t)}\right). Then Huisken's monotonicity formula gives an explicit expression for the derivative of :\int u(x,t) d\mu, where is the area element of the evolving surface at time . The expression involves the negation of another integral, whose integrand is non- negative, so the derivative is non-positive. Typically, and are chosen as the time and position of a singularity of the evolving surface, and the monotonicity formula can be used to analyze the behavior of the surface as it evolves towards this singularity. In particular, the only surfaces for which the convolution with the heat kernel remains constant rather than decreasing are ones that stay self-similar as they evolve, and the monotonicity formula can be used to classify these surfaces. Grigori Perelman derived analogous formulas for the Ricci flow... References Differential geometry "
"Hassan Musa Khan Muhammad Hassan Musa Khan (30 May 1863 – 1939), also known as Mohamed Hasan Musakhan, Hasan Musakhan, or Hassan Musakhan, was one of the early so-called "Afghan" cameleers in Australia. Born in Karachi, a member of the Tarin tribe of Pashtuns which originates from Southern Afghanistan and Balochistan, he was a nephew of Khan Bahadur Moradkhan, the first South Asian supplier of camels to Australia. Khan was the first Ahmadiyya Muslim in Australia, and was notable for being appointed as an arbitrator in a complex 1899 court case, involving camel importation to Western Australia.West Australian, 22 Apr 1899, p.3 After winning a Mansfield Scholarship at school, Khan won a Frank Souter Scholarship at the University of Bombay (Mumbai) in 1887. He was a schoolteacher and headmaster in British India from 1889–92, and arrived in Australia in 1896. He was fluent in several languages including English, Pushto, Urdu, Persian, Sindhi, as well as some Arabic. He may have brought his wife to Australia from India, according to a birth notice for his daughter, born at "Nurse Baseby's, King St in Coolgardie", in mid-1899.West Australian, 1 June 1899, p.4 Khan was a bookseller in Perth between 1904 and 1906. In 1904 he founded the Perth Mosque, and later served as its treasurer as well as secretary. He was a representative of the "camel men" at various official events between 1896 and 1927, and lived in Kalgoorlie in 1921 and in Adelaide, South Australia in 1932. He travelled to Delhi, India between 1911 and 1914. He donated books to the Battye Library in Perth. With "wonder man" Mahomet Allum, Khan edited the booklet The History of Islamism in Australia from 1863-1932. Full text (98pp) online here. See also *Afghan cameleers in Australia *Islam in Australia *Ahmadiyya in Australia References Australian businesspeople Australian writers 1863 births Australian people of Pashtun descent Australian Ahmadis Year of death missing Camel drivers "
"Huayllajirca (possibly from Quechua waylla meadow, Ancash Quechua hirka mountain,homepage.ntlworld.com/robert_beer Robert Beér, Armando Muyolemaj, Dr. Hernán S. Aguilarpaj, Vocabulario comparativo, quechua ecuatoriano - quechua ancashino - castellano - English, Brighton 2006 "meadow mountain") is a mountain in the Andes of Peru, about high. It is located in the Lima Region, Cajatambo Province, Cajatambo District, and in the Oyón Province, Oyón District. Huayllajirca lies northwest of the mountain named Chalhuacocha and northeast of Pishtac and Tocto lake. References Mountains of Peru Mountains of Lima Region "