The GSR theorem generalizes the classical Rouché theorem of complex analysis, concerning the stability of the total multiplicity of “roots minus poles” for finitely meromorphic functions taking values in the space of Fredholm operators on a Hilbert space. This theorem has been a very useful tool in the stability analysis of nonlinear waves. Proofs based on logarithmic integrals are usually cons...

The goal of this paper is to generalize a theorem of Fujiwara (formerly Deligne’s conjecture) to the situation appearing in a joint work [KV] with David Kazhdan on the global Langlands correspondence over function fields. Moreover, our proof is much simpler than the original one and applies to more general situations like algebraic spaces or Deligne–Mumford stacks without any changes. We also i...

Objectives: This study was designed to evaluate the effectiveness of a modified floor reaction ankle foot orthosis (FRAFO) design on gait performance in children with cerebral palsy. Methods: Eight children with cerebral palsy wore a modified FRAFO bilaterally for six weeks. Motion analysis was used to assess the immediate effectiveness of the orthosis on improving gait and also following si...

Much of this is joint work with Amy Ksir, the rest is " in progress ". 1 Motivation Let F = C temporarily and let X be a non-singular projective curve of genus > 1 with automorphism group G. This group acts on the vector space of differentials on X and, more generally, on the Riemann-Roch space of a G-equivariant divisor D. Question: What are these representations? Can we compute their char-act...

failure in timber structures occurs mainly in crucial points such as joints areas. therefore, the idea of using composite sheets in timber joints has been intro-duced as a method in order to increase the strength and ductility behaviour of timber joints. this research aims to study the behaviour of bolted joints in poplar and pine woods, which are reinforced by two types of gfrp sheets. a singl...

background: surgical treatments for acromioclavicular (ac) joint dislocation present with some complications. the present study was designed to evaluate the double-button fixation system in the management of acute acromioclavicular joint dislocation. methods: this cross sectional study, done between february 2011 to june 2014, consisted of 28 patients who underwent surgical management by the do...

Discrete fracture network (DFN) is an effective means of describing the coupling heat flow in underground fractured rock mass. In this paper, improved DFN proposed by introducing correlation function trace length and aperture, which more consistent with real data. Next, based on model, influence roughness fluid transmission was evaluated, relationship between aperture joint coefficient (JRC) es...

Multifractal techniques were utilized to quantify the spatial variability of selected soil trace elements and their scaling relationships in a 10.24-ha agricultural field in northeast China. 1024 soil samples were collected from the field and available Fe, Mn, Cu and Zn were measured in each sample. Descriptive results showed that Mn deficiencies were widespread throughout the field while Fe an...

Architectural simulations of microprocessors are extremely time-consuming nowadays due to the ever increasing complexity of current applications. In order to get realistic workloads on current hardware, benchmarks need to be constructed with huge dynamic instruction counts. For example, SPEC released the CPU2000 benchmark suite containing benchmarks that have a dynamic instruction count of seve...

We developed a wearable fatigue monitoring system with a high-sensitivity 2-axis accelerometer and an on-board signal processing microcontroller. The proposed system measures faint motion of the user's head while the user is trying to stand still for 30 seconds. The two axes of the accelerometer were settled parallel to the ground. As one of the candidates for diagnostic parameters, we adopted ...