We study the concept of stabilization with internal loop for infinite-dimensional discrete timevarying systems in the framework of nest algebra. We originally give a parametrization of all stabilizing controllers with internal loop, and it covers the parametrization of canonical or dual canonical controllers with internal loop obtained before. We show that, in practical application, the control...

The ηL(1410) component of the η(1440) pseudoscalar has strong affinity for glue. But its mass is incompatible with lattice simulations that predict a much higher value for the 0 glueball. As a consequence it has been suggested that ηL(1410) could signal physics beyond the Standard Model. Here we argue that if glueballs are closed gluonic fluxtubes then ηL(1410) is a prime candidate for the 0 −+...

When a reductive group G acts linearly on a complex projective scheme X, there is a stratification of X into G-invariant locally closed subschemes, with an open stratum X formed by the semistable points in the sense of Mumford’s geometric invariant theory which has a categorical quotient X → X//G. In this article, we describe a method for constructing quotients of the unstable strata. As an app...

I F a man who had lived some hundred years ago were to return to life again today and glance at the title of this symposium, "Simulated Atmospheres and Foreign Environments in Space Operations.," he probably would think that he had reached the wrong planet and might immediately disappear again to his supernatural environment. In fact, our occupation with simulated atmospheres per se indicates t...

Abstract: This paper presents sufficient conditions based on dilated LMIs to analyze and synthesize controllers that minimize the L2-norm of the the closed-loop system for spatially varying interconnected polytopic systems. The approach presented here searches for a parameter dependent Lyapunov function (PDLF) by dilating the original LMIs. This dilation not only helps in the search for a PDLF ...

The authors report the case of a 28-year old male who presented with a compound diaphyseal fracture of the tibia, which was treated with intramedullary nailing. Postoperatively he required an extensive fasciotomy for an acute compartment syndrome. The fracture evolved towards post-traumatic osteomyelitis, growing methicillin-resistant Staphylococcus aureus (MRSA), combined with a large overlyin...

We design a new fast algorithm to automatically segment a 2D cloud of points into regions. The only input is a dotted image without any extra parameters, say a scanned black-and-white map with almost closed curves or any image with detected edge points. The output is a hierarchy of segmentations into regions whose boundary contours have a long enough life span (persistence) in a sequence of nes...

Method 1 Apply a piece of adhesive tape, about 15 centimetres long, to the eye pad (Figure 1). 2 Ask the patient to close both eyes. 3 Position the eye pad diagonally over the closed lids of the affected eye and tape firmly, but gently, to the forehead and cheek. 4 Apply a second and third piece of tape to ensure the pad lies flat. 5 Extra protection can be given by taping a shield over the pad...

Closed strings in extra compactified dimensions give rise to both Kaluza-Klein states and winding states. Since the masses of these states play a reciprocal role, it is often believed that either the lightest Kaluza-Klein states or the lightest winding states must be at or below the string scale. In this Letter, we demonstrate the contrary, showing that there exist toroidal compactifications fo...