We consider a problem of blind source separation from a set of instantaneous linear mixtures, where the mixing matrix is unknown. It was discovered recently, that exploiting the sparsity of sources in an appropriate representation according to some signal dictionary, dramatically improves the quality of separation. In this work we use the property of multi scale transforms, such as wavelet or w...

Work in 2012-2013 focused on studying gas permeability, diffusivity and solubility of polyimides and thermally rearranged (TR) polymers based on 3,3’-dihydroxy-4,4’diaminobiphenyl (HAB) and 2,2’-bis-(3,4-dicarboxyphenyl) hexafluoropropane dianhydride (6FDA). To determine the effect of temperature on gas sorption, we studied H2 sorption in the HAB-6FDA polyimide and 3 partially converted HAB-6FD...

In vitro neural networks of cortical neurons interfaced to a computer via multichannel microelectrode arrays (MEA) provide a unique paradigm to create a hybrid neural computer. Unfortunately, only rudimentary information about these in vitro network's computational properties or the extent of their abilities are known. To study those properties, a liquid state machine (LSM) approach was employe...

We prove that any iterated function system of finite type possesses the weak separation property.

We will discuss Craig’s interpolation property (CIP), deductive interpolation property (DIP), pseudo-relevance property (PRP), principle of variable separation (PVS) and Halldén completeness (HC) of substructural logics, and give algebraic characterizations of these properties. These characterizations have been studied for modal and superintuitionistic logics, e.g. in Maksimova (1977), [2] etc....

In this paper, we study the following elliptic problem   ∆u+K(x)u p = 0 in R u > 0 in R (∗) where K(x) is a given function in Cα(R \ 0) for some fixed α ∈ (0, 1), p > 1 is a constant. Some existence, monotonicity and asymptotic expansion at infinity of solutions of (∗) are discussed. ∗Research supported in part by the Natural Science Foundation of China and NSFC †Research supported in part b...

In contrast to construction of integrals as limits of Riemann sums, the Gelfand-Pettis characterization is a property no reasonable notion of integral would lack. Since this property is an irreducible minimum, this definition of integral is called a weak integral. Uniqueness of the integral is immediate when the dual V ∗ separates points, meaning that for v 6 v′ in V there is λ ∈ V ∗ with λv 6=...

In [Mur00], Murphy raises questions about key separation in Twofish. We discuss this property of the Twofish key schedule, and compare it with other block ciphers. While every block cipher has this property in some abstract sense, the specific structure of Twofish makes it an interesting property to consider. We explain why we don’t believe this property leads to any interesting attacks on Twof...