A brief proof of the existence of an equilibrium in incomplete markets is given for regular economies (Theorem 1) ; a robust example of such economies is provided . Theorem 2 establishes that the manifold fl of global pseudo-equilibria is a fiber bundle with the topological structure of a oneor two-fold covering space of G k . ", the space of k planes in R", where k is the number of assets in t...

Maarten V. de Hoop,1 Robert D. van der Hilst2 and Peng Shen3 1Center for Computational and Applied Mathematics, Purdue University, 150 N. University Street, West Lafayette IN 47907, USA 2Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Rm 54-517A, Cambridge, MA 02139, USA. E-mail: [email protected] 3Total E&P USA, 800 Gessner, Suite 700, Houston TX 702...

In this paper, persents the definitions of strongly prime ideal, strongly prime N-subgroup, Pseudo-valuation near ring and Pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-field K and P be a strongly prime ideal of near ring N, then is a strongly prime ideal of ‎‎, for any multiplication subset S of...

Hollow nonwood baseball bats have performance advantages over wooden bats. The hollow barrel bats act as a spring or trampoline during the bat-ball collision. The trampoline effect can occur at different natural frequencies known as hoop modes. To examine the effect of the hoop mode on the bat-ball collision, modal analysis and performance measurements were performed on a sample of hollow nonwo...

Optimization over l ×m× n integer 3-way tables with given line-sums is NP-hard already for fixed l = 3, but is polynomial time solvable with both l,m fixed. In the huge version of the problem, the variable dimension n is encoded in binary, with t layer types. It was recently shown that the huge problem can be solved in polynomial time for fixed t, and the complexity of the problem for variable ...

We describe a broadly-applicable conservative error correcting model, N-fold Templated Piped Correction (NTPC), that consistently improves the accuracy of existing high-accuracy base models. Under circumstances where most obvious approaches actually reduce accuracy more than they improve it, NTPC nevertheless comes with little risk of accidentally degrading performance. NTPC is particularly wel...

Femur fractures occur during broaching and impaction of the implant during hip arthroplasty. Prophylactic cerclage of the proximal femur with braided cable and steel wire has been shown to decrease hoop stresses and has been posited as a way to decrease the incidence of intraoperative fracture. In this biomechanical study, the authors investigated the strain across the proximal femur during bro...