We analyse the spectrum of the D-dimensional Poincaré invariant effective string model of Polchinski and Strominger. It is shown that the leading terms beyond the Casimir term in the long distance expansion of the spectrum have a universal character which follows from the constraint of Poincaré invariance.

The classical concept of Q-functions associated to symmetric and selfadjoint operators due to M.G. Krein and H. Langer is extended in such a way that the Dirichlet-to-Neumann map in the theory of elliptic differential equations can be interpreted as a generalized Q-function. For couplings of uniformly elliptic second order differential expression on bounded and unbounded domains explicit Krein ...

We find new proofs for the celebrated theorem of Keith and Zhong that a (1, p)-Poincaré inequality self-improves to a (1, p − )-Poincaré inequality. The paper consists of two proofs, the second of which identifies a novel characterization of Poincaré inequalities and uses it to give an entirely new proof which is closely related to Muckenhoupt weights. This new characterization, and the alterna...

Compared to the general semantic segmentation problem, portrait segmentation has higher precision requirement on boundary area. However, this problem has not been well studied in previous works. In this paper, we propose a boundary-sensitive deep neural network (BSN) for portrait segmentation. BSN introduces three novel techniques. First, an individual boundary-sensitive kernel is proposed by d...

We compared the Portrait Toxigenic C. difficile Assay, a new semiautomated sample-to-result molecular test, to a toxigenic bacterial culture/cell cytotoxin neutralization assay (TBC/CCNA) for the detection of toxigenic Clostridium difficile in 549 stool specimens. Stool specimens were also tested by one of three alternative FDA-cleared molecular tests for toxigenic C. difficile (Xpert C. diffic...

The phase–portrait of the second order differential equation: ẍ + n

marcel proust est un des écrivains le plus fameux de la première moitié du xxe siècle. son ouvrage, a la recherche du temps perdu, en sept volumes, est à la fois le livre de sa propre vie et de la société de son époque. les personnages féminins sont au centre de son œuvre. la duchesse de guermantes est une de ces figures féminines qui occupe une place centrale dans la recherche du temps perdu. ...

Choi, Jun M. Ph.D., Purdue University, May 2015. Near-inertial internal Poincaré waves in Lake Michigan: Seasonal variability and effects on lateral dispersion and turbulent mixing. Major Professor: Cary D. Troy. A dominant physical process in stratified Lake Michigan is near-inertial internal Poincaré waves. The near-inertial internal Poincaré waves is described as locally quasi-uniform curren...

We investigate properties of measures in infinite dimensional spaces in terms of Poincaré inequalities. A Poincaré inequality states that the L2 variance of an admissible function is controlled by the homogeneous H1 norm. In the case of Loop spaces, it was observed by L. Gross [17] that the homogeneous H1 norm alone may not control the L2 norm and a potential term involving the end value of the...