This is a study of morphisms in the category of finite dimensional absolute valued algebras, whose codomains have dimension four. We begin by citing and transferring a classification of an equivalent category. Thereafter, we give a complete description of morphisms from one-dimensional algebras, partly via solutions of real polynomials, and a complete, explicit description of morphisms from two...

INTRODUCTION Correct bedside measurement of intra-abdominal pressure (IAP) is important. The bladder method is considered as the gold standard for indirect IAP measurement, but the instillation volumes reported in the literature vary substantially. The aim of this study was to evaluate the effect of instillation volume on intra-bladder pressure (IBP) as an estimation for IAP in critically ill p...

This paper analyzes spacetime symmetries of topological string theory on a two dimensional torus, and points out that the spacetime geometry of the model is that of the Batalin-Vilkovisky formalism. Previously I found an infinite symmetry algebra in the absolute BRST cohomology of the model. Here I find an analog of the BV ∆ operator, and show that it defines a natural semirelative BRST cohomol...

Zero-knowledge watermark detectors presented to date are based on a linear correlation between the asset features and a given secret sequence. This detection function is susceptible of being attacked by sensitivity attacks, for which zero-knowledge does not provide protection. In this paper, an efficient zero-knowledge version of the Generalized Gaussian Maximum Likelihood (ML) detector is intr...

We establish a small ball probability inequality for isotropic log-concave probability measures: there exist absolute constants c1, c2 > 0 such that if X is an isotropic log-concave random vector in R with ψ2 constant bounded by b and if A is a non-zero n × n matrix, then for every ε ∈ (0, c1) and y ∈ R, P (‖Ax− y‖2 6 ε‖A‖HS) 6 ε ` c2 b ‖A‖HS ‖A‖op ́2 , where c1, c2 > 0 are absolute constants.

In this paper, an enhanced sum of absolute integer transform difference (ESAITD) cost function with rate predictor “sum of non-zero coefficient frequencies” from CAVLC-based rate estimation is proposed for Intra_4x4 mode decision in H.264/AVC. This rate predictor is using simple but significant parameter to approximate the total encoded bitrate accurately. Experimental results show that ESAITD ...

This paper proposes a novel approach to early determination of zero-quantized 8× 8 discrete cosine transform (DCT) coefficients for fast video encoding. First, with the dynamic range analysis of DCT coefficients at different frequency positions, several sufficient conditions are derived to early determine whether a prediction error block (8× 8) is an all-zero or a partial-zero block, i.e., the ...

We show that the Ruelle zeta function for a negatively curved oriented surface vanishes at zero to the order given by the absolute value of the Euler characteristic. This result was previously known only in constant curvature.

The reconstruction of PWπ-functions by sampling series is not possible in general if the samples are disturbed by the non-linear threshold operator which sets all samples whose absolute value is smaller than some threshold to zero. In this paper we characterize the set of functions for which the sampling series diverges as the threshold goes to zero and show that this set is a residual set.

The objective of the article is the numerical analysis of the absolute controllability of a parabolic system with delayed controls and non zero boundary conditions. Precisely the non zero Dirichlet conditions for the considered PDE are the main novelty of the article. As a result we gave the conditions of the controllability for the parabolic PDE with delayed controls. Key-Words: Controllabilit...