Problems of minimal aerodynamic resistance

Nesta tese estamos preocupados com o problema da resistência mínima primeiro dirigida por I. Newton em seu Principia (1687): encontrar o corpo de resistência mínima que se desloca através de um médio. As partículas do médio não interagem entre si, bem como a interação das partículas com o corpo é perfeitamente elástica. Diferentes abordagens desse modelo foram feitas por vários matemáticos nos últimos 20 anos. Aqui damos uma visão geral sobre estes resultados que representa interesse independente, uma vez que os autores diferentes usam notações diferentes. Apresentamos uma solução do problema de minimização na classe de corpos de revolução geralmente não convexos e simplesmente conexos. Acontece que nessa classe existem corpos com resistência menor do que o mínimo da resistência na classe de corpos convexos de revolução. Encontramos o infimum da resistência nesta classe e construimos uma sequência regular de corpos que aproxima este infimum. Também apresentamos um corpo de resistência nula. Até agora ninguém sabia se tais corpos existem ou não, evidentemente o nosso corpo não pertence a nenhuma classe anteriormente analisado. Este corpo é não convexo e não simplesmente conexo; a forma topológica dele é um toro, parece um UFO extraterrestre. Apresentamos aqui várias famílias de tais corpos e estudamos as suas propriedades. Também apresentamos um corpo que é natural de chamar um corpo "invisíveis em uma direção", uma vez que a trajectória de cada partícula com a certa direcção coincide com a linha recta fora do invólucro convexo do corpo. ABSTRACT: In this thesis we are concerned with the problem of minimal resistance first addressed by I. Newton in his Principia (1687): find the body of minimal resistance moving through a medium. The medium particles do not mutually interact, and the interaction of particles with the body is perfectly elastic. Different approaches to that model have been tried by several mathematicians during the last 20 years. Here we give an overview of these results that represents interest in itself since all authors use different notations. We present a solution of the minimization problem in the class of generally non convex, simply connected bodies of revolution. It happens that in this class there are bodies with smaller resistance than the minimum in the class of convex bodies of revolution. We find the infimum of the resistance in this class, and construct a sequence of bodies which approximates this infimum. Also we present a body of zero resistance. Since earlier it was unknown if such bodies exists or not, evidently our body does not belong to any class previously examined. The zero resistance body found by us is non-convex and non-simply connected; topologically it is a torus, and it looks like an extraterrestrial UFO. We present here several families of such bodies and study their properties. We also present a body which is natural to call a body "invisible in one direction", since the trajectory of each particle with the given direction, outside the convex hull of the body, coincides with a straight line.

Christopher Newton Collection, 1955-1998 (non-inclusive)

Christopher Newton was born in England in June of 1936. He received his education at Sir Roger Manwood’s School in Kent, the University of Leeds, Purdue University in Indiana and the University of Illinois where he received his M.A. He founded Theatre Calgary in 1968 and was the artistic director there until 1971. He was appointed as the artistic director of the Vancouver Playhouse where he established the Playhouse Acting School with Powys Thomas. Mr. Newton has also performed and directed at Stratford Festivals and on Broadway. He became the artistic director at Shaw Festival in Niagara-on-the-Lake in 1979 and remained there for 23 seasons until 2002. Mr. Newton has many television, radio and film credits to his name as well as having written many stage plays. Mr. Newton has received honorary degrees from Brock University (1986), the University of Guelph (1989), Wilfrid Laurier University (1997) and Buffalo State University. He was made an Honorary Fellow at the Royal Conservatory of Music of Toronto (1993) and of Ryerson Polytechnic University (1995). He has won the Governor General’s performing arts award (2000), the Molson Prize and the Thomas DeGaetani Award from the United States Institute for Theatre Technology. In 1996 he was made an Honorary Life Member of the Association for Canadian Theatre Research and in the same year he received the M. Joan Chalmers Award for Artistic Direction. In 1995, he was made a Member of the Order of Canada and he won a Governor General's Performing Arts Award in 2000. Christopher Newton is currently the Artistic Director Emeritus at the Shaw Festival. Sources: http://www.shawfest.com/the-ensemble/christopher-newton/ http://www.thecanadianencyclopedia.com/articles/christopher-newton

Formulación de flujos óptimos en forma rectangular por el método de Newton incorporando dispositivos FACTS

Tesis (Maestría en Ciencias de la Ingeniería Eléctrica con Especialidad en Potencia) UANL

Dictionarium casuum conscientiae : quos secundum moralis principia, ecclesiasticae disciplinae consuetudines, conciliorum, et canonistarum auctoritatem, et regni jurisprudentiam

UANL

Principia philosophica ad mentem aquinatis quae in Pontificia Universitate Gregoriana

UANL

Hermenéutica Bíblica generalis : secundum principia catholica

UANL

Principia et documenta : vita christianae indicans naturam, finem et officia et de studio virtulem Necnon...

UANL

On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows

The application of nonlinear schemes like dual time stepping as preconditioners in matrix-free Newton-Krylov-solvers is considered and analyzed. We provide a novel formulation of the left preconditioned operator that says it is in fact linear in the matrix-free sense, but changes the Newton scheme. This allows to get some insight in the convergence properties of these schemes which are demonstrated through numerical results.

Isaac Newton : manzanas maduras.

Relato ilustrado en forma de cuento sobre la biografía de Sir Isaac Newton. Se recrea la vida del astrónomo, físico y matemático inglés, así como los principales rasgos de su pensamiento científico y sus aportaciones a la ciencia moderna. El objetivo es acercar a los más jóvenes las figuras de los grandes científicos de la historia. La publicación incluye dos páginas con actividades.

La Física. Fites en l'aplicació del seu mètode: Newton

Anàlisi del llegat de Newton