Abstract. We prove an abstract index formula about Sinnott’s symbol between two different lattices. We also develop the theory of the universal distribution and predistribution in a double complex point of view. The theory of spectral sequence is used to interpret the index formula and to analyze the cohomology of the universal distribution. Combing these results, we successfully prove Sinnott’...

We define and study the universal norm distribution in this paper, which generalizes the well studied universal ordinary distribution by Kubert [4, 5]. We display a resolution of Anderson type for the universal norm distribution. Furthermore, we prove a general index formula between different universal norm distributions. As a special case, this general index formula recovers the hard calculati...

The Inter Lingual Index ILI in the EuroWordNet architecture is an initially unstructured fund of con cepts which functions as the link between the vari ous language wordnets The ILI concepts originate fromWordNet and have been restructured on the basis of aspects of the internal structure of Word Net links between WordNet and other resources and multilingual mapping between the wordnets This le...

We establish experimental and numerical evidence that the refractive index sensitivities of various subwavelength plasmonic sensors obey a simple universal scaling relation that the sensitivities linearly increase with λm/neff (where λm is the resonant wavelengths and neff is the effective refractive index of the environment) and exhibit a slope equal to 1 instead of 2 predicted theoretically. ...