Using lattice-theoretical methods, we analyze the existence and order structure of Nash equilibria of non-cooperative games where payoffs satisfy certain monotonicity properties (which are directly related to strategic complementarities) but need not be quasiconcave. In games with strategic complementarities the equilibrium set is always non-empty and has an order structure which ranges from th...

in this study, focuses on applying the hp-version for forward modeling. the eit forward solver is normally based on the conventional finite element method (hfem). in h-fem, the polynomial order p of the element shape functions is constant and the element size h, is decreased. to accurately simulate the forward solution with the hfem, a mesh with large number of nodes and elements is usually need...

In this paper we present a unified framework for constructing spectrally equivalent low-order-refined discretizations the high-order finite element de Rham complex. This theory covers diffusion problems in $H^1$, $H({\rm curl})$, and div})$, is based on combining low-order discretization posed refined mesh with basis N\'ed\'elec Raviart-Thomas elements that makes use of concept polynomial histo...

We show how the maximally helicity violating (MHV) scattering amplitudes for gravitons can be related to current correlators and vertex operators in twistor space. This is similar to what happens in Yang-Mills theory and raises the possibility of a direct twistor-string-like construction for N = 8 supergravity.

As a task in SensEval-3, Automatic Labeling of Semantic Roles is to identify frame elements within a sentence and tag them with appropriate semantic roles given a sentence, a target word and its frame. We apply Maximum Entropy classification with feature sets of syntactic patterns from parse trees and officially attain 80.2% precision and 65.4% recall. When the frame element boundaries are give...

This paper examines two major results concerning the symmetric group, Sn. The first result, Landau’s theorem, gives an asymptotic formula for the maximum order of an element in Sn, and the second, Dixon’s Theorem, settled an open conjecture concerning the probability that two randomly selected elements of Sn will generate An or Sn.

We show stability in a Banach space framework of backward Euler and second order backward diierence timestepping methods for a parabolic equation with memory. The results are applied to derive maximum norm stability estimates for piecewise linear nite element approximations in a plane spatial domain, which is accomplished by a new resolvent estimate for the discrete Laplacian. Error estimates a...

In this work we discuss weakening requirements on the set of sufficient conditions due to Ph. Ciarlet [4, 5] for matrices associated to linear finite element schemes, which is commonly used for proving validity of discrete maximum principles (DMPs) for the second order elliptic problems. AMS subject classifications: 65N30, 65N50