The optimization-based stabilization of manifolds for nonlinear dynamical systems with constraints is investigated. Manifolds in the state or output space are considered for which the original system description can be transformed into a so-called transverse normal form. With this formulation, the motion of the system transverse and tangential to the manifold can be separately described. The tr...

In this article, we consider Legendrian and transverse knots in the standard contact space, that is in R3 with the contact structure globally given by the 1-form α = ydx− dz. It is well-known that a little push of an oriented Legendrian knot Γ in the direction of its positive normal within the contact structure changes it into a transverse knot Γ+, whose natural orientation, as determined by α,...

BACKGROUND Transverse sinus stenosis (TSS) is common among patients with cerebral venous sinus thrombosis. No previous studies have reported on double-track sign detected on axial Gd-enhanced T1WI in TSS. This study aimed to determine the sensitivity and specificity of the double-track sign in the detection of TSS. METHODS We retrospectively reviewed medical records of 383 patients with trans...

OBJECTIVE To study the MRI findings of the normal transverse mesocolon and the involvement of the mesocolon in acute pancreatitis (AP) as well as the relationship between the involvement of the mesocolon and the severity of AP. MATERIALS AND METHODS Forty patients without pancreatic disorders were retrospectively analyzed to observe the normal transverse mesocolon using MRI; 210 patients with...

We present a theory for coupled deformation and liquid permeation in polymer gels, allowing large strains rotations conjunction with sharp interfaces separating regions of high low volume fraction. The is applied to pressure-driven flow through gel-filled rectangular channel, the aim investigating how elastic osmotic properties gel influence resulting process. Apart from streamwise direction pr...

We report three representative nanowire (NW) devices for applications in stretchable electronics, strain sensing, and optical sensing. Fabrication of such devices is based on a recently developed strain-release assembly method. NWs are first aligned transversely on an elastomeric substrate using the strain-release assembly. Constant resistance is achieved in silicon (Si) NW devices stretched up...

The current paper primarily aims to suggest a mathematical model for the shape-dependent term of Khan- Liu (KL) Yield/ fracture criterion as a function of Plastic Strain for DP590 steel alloy. The shape-dependent term in the mention criterion can generalize the application of this criterion in order to predict the behavior of other materials. Plane stress case and the first quarter of the stres...

varicella-zoster viruses complications involving the cns are estimated to occur rarely, transverse myelitis after varicella-zoster virus in most patients is characterized by an abrupt onset of progressive weakness and sensory disturbance in the lower extremities , like other viruses. we describe the case of 17 year-old boy who experienced cervical transverse myelitis after chickenpox with inabi...