• The theta correspondence 1 is a correspondence between automorphic forms on two members of a dual reductive pair. Because of the relation between automorphic forms and automor-phic representations, it is also a correspondence between automorphic representations. The Siegel-Weil formula says that certain natural linear combinations of theta lifts are Siegel-type holomorphic Eisenstein Series.

2,3,7,8-tetrachlorodibenzo-p-dioxin (tcdd) is a by-product o f t he trichlorophenol (herbicide) production and is also produced through a variety of combustion processes. it appears that tcdd is a ubiquitous chemical, particularly in industrialised countries, and the liver is the target organ of its toxicity. the prominent hepatotoxic effect of tcdd is progressive centrilobular necrosis. the is...

We show how to get a 1-1 correspondence between projective linear codes and 2-weight linear codes. A generalization of the construction gives rise to several new ternary linear codes of dimension six.

From Cartan and Killing’s original classification of simple Lie groups in the 1890s, these groups have been understood to be of two rather different types: the infinite families of classical groups (related to classical linear algebra and geometry); and a finite number of exceptional groups, ranging from the 14-dimensional groups of typeG2 to the 248-dimensional groups of typeE8. Often it is po...

Linear logic provides a logical perspective on computational issues such as control of resources and order of evaluation. The most important feature of linear logic is that formulae are considered as actions. While classical logic treats the sentences that are always true or false, in linear logic it depends on an internal state of a dynamic system. Curry-Howard correspondence is a corresponden...

The correspondence of various spectral difference error metrics to human discrimination data was investigated. Time-varying harmonic amplitude data were obtained from the spectral analysis of eight musical instrument sounds (bassoon, clarinet, flute, horn, oboe, saxophone, trumpet, and violin). Sounds were resynthesized with various levels of random spectral alteration, ranging from 1 to 50%. L...

We initiate the study of ξ-groups and Hu-Liu Leibniz algebras, claim that almost all simple Leibniz algebras and simple Hu-Liu Leibniz algebras are linear, and establish two passages. One is the passage from a special Z2-graded associative algebra to a Hu-Liu Leibniz algebra. The other one is the passage from a linear ξ-group to its tangent space which is a Hu-Liu Leibniz algebra. The Lie corre...