| We study frames for robust transmission over the Internet. In our previous work, we used quantized nite-dimensional frames to achieve resilience to packet losses; here, we allow the input to be a sequence in`2 (Z) and focus on a lter-bank implementation of the system. We present results in parallel, R N or C N versus`2 (Z), and show that uniform tight frames, as well as newly introduced stron...

We analyse the role of the modal axiom corresponding to the first-order formula “∃y (x = y)” in axiomatisations of two-dimensional propositional modal logics. One of the several possible connections between propositional multi-modal logics and classical first-order logic is to consider finite variable fragments of the latter as ‘multi-dimensional’ modal formalisms: First-order variable-assignme...

In this paper‎, ‎using the discrete Fourier transform in the finite-dimensional Hilbert space C^n‎, ‎a class of nonRieszable equal norm tight frames is introduced ‎and‎ using this class, a bound for Fiechtinger Conjecture is presented. By the Fiechtinger Conjecture that has been proved recently, for given A,C>0 there exists a universal constant delta>0 independent of $n$ such that every C-equal...

we consider a 2-dimensional representation of the hecke algebra h(g7; u), whereg7 is the complex re ection group and u is the set of indeterminatesu = (x1; x2; y1; y2; y3; z1; z2; z3):after specializing the indetrminates to non zero complex numbers, we then determine a nec-essary and sucient condition that guarantees the irreducibility of the complex specializationof the representation of the ...

A coordinate frame in an n-dimensional space is defined by n mutually orthogonal unit vectors. In particular, for a two-dimensional (2D) space, i.e., n = 2, a coordinate frame is defined by an X axis and a Y axis with these two axes being orthogonal to each other. The intersection between the X axis and the Y axis is the origin of the coordinate frame. For a three-dimensional (3D) space, i.e., ...

Let R = Q a2A R a be an innnite product of zero-dimensional chained rings. It is known that R is either zero-dimensional or innnite-dimensional. We prove that a nite-dimensional homomorphic image of R is of dimension at most one. If each R a is a PIR and if R is innnite-dimensional, then R admits one-dimensional homomorphic images. However, without the PIR hypothesis on the rings R a , we prese...

Wideband Multicarrier code division multiple access (MCCDMA) and Rake receivers for wavelet video transmission with four levels of unequal error protection (UEP) codes over additive white Gaussian noise (AWGN) and Rayleigh fading channels are performed and evaluated. The deployment of Wavelets has approached a powerful technique and high quality for compressing video sequence. A spatially scala...

We report the discovery of an entirely new three-dimensional (3D) swimming pattern observed in human and horse sperms. This motion is in the form of 'chiral ribbons', where the planar swing of the sperm head occurs on an osculating plane creating in some cases a helical ribbon and in some others a twisted ribbon. The latter, i.e., the twisted ribbon trajectory, also defines a minimal surface, e...