Mathematics

  2010 MAR 23 - (VerticalNews.com) -- According to a study from People's Republic of China, "A VU-decomposition method for solving a second-order cone problem is presented in this paper. It is first transformed into a nonlinear programming problem."

  "Then, the structure of the Clarke subdifferential corresponding to the penalty function and some results of its VU-decomposition are given. Under a certain condition, a twice continuously differentiable trajectory is computed to produce a second-order expansion of the objective function," wrote Y. Lu and colleagues, Dalian University of Technology ...read more

  2010 MAR 23 - (VerticalNews.com) -- According to recent research from the United States, "We will consider plane regions Omega subset of, Omega not equal C. This articleis an exposition of the theory, initiated by Sullivan and Thurston, governing the geometric relationship of Omega to a particular surface in upper half of euclidean 3-space that will be explicitly constructed below. It lies over Omega as the dome in a domed stadium lies over the playing field. ...read more

  2010 MAR 23 - (VerticalNews.com) -- According to a study from Xiangtan, People's Republic of China, "This paper investigates the multiaxial fatigue life of the roller in rolling contact with wheels with respect to axis line deflection. The multiaxial fatigue criteria proposed by Wang and Brown, together with the rainflow counting method and Miner-Palmgren's rule, are applied to the cumulative damage estimation and life prediction. ...read more