PURPOSE Hemodynamic atlases can add to the pathophysiological understanding of cardiac diseases. This study proposes a method to create hemodynamic atlases using 4D Flow magnetic resonance imaging (MRI). The method is demonstrated for kinetic energy (KE) and helicity density (Hd ). MATERIALS AND METHODS Thirteen healthy subjects underwent 4D Flow MRI at 3T. Phase-contrast magnetic resonance c...

We present a technique and an accompanying tool that learns guarded affine functions. In our setting, a teacher starts with a guarded affine function and the learner learns this function using equivalence queries only. In each round, the teacher examines the current hypothesis of the learner and gives a counter-example in terms of an input-output pair where the hypothesis differs from the targe...

We present a family of data-reusing and affine projection algorithms. For identification of a noisy linear finite impulse response channel, a partial knowledge of a channel, especially noise, can be used to improve the performance of the adaptive filter. Motivated by this fact, the proposed scheme incorporates an estimate of a knowledge of noise. A constraint, called the adaptive noise constrai...

*Correspondence: [email protected] 3Department of Mathematical Sciences, UAE University, Al Ain, United Arab Emirates Full list of author information is available at the end of the article Abstract In this paper, we establish some (presumably new) differential equation formulas for the extended Mittag-Leffler-type function by using the Saigo-Maeda fractional differential operators involvin...

In this expository note, we give a modern proof of Hanson-Wright inequality for quadratic forms in sub-gaussian random variables. We deduce a useful concentration inequality for sub-gaussian random vectors. Two examples are given to illustrate these results: a concentration of distances between random vectors and subspaces, and a bound on the norms of products of random and deterministic matric...

We prove graded bounds on the individual Betti numbers of affine and projective complex varieties. In particular, we give for each p, d, r, explicit bounds on the p-th Betti numbers of affine and projective subvarieties of Ck and PC, defined by r polynomials of degrees at most d as a function of p, d and r. Unlike previous bounds these bounds are independent of k, the dimension of the ambient s...

Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing extended Pochhammer symbol. First, and express certain integral equations differential formulae concerning it. We also Mellin transform function. After that, some fractional calculus findings for these expanded functions. Lastly, several theorems in Kinetic equations.

20. M. ABRIBAT.-Compte Rendu de la R6union de l'Institut d'Optique, April, 1935. 21. A. BROCA and D. SULZER.-Jl. Physiol. and Pathol. Gen., p. 4, 1902. 22. J. F. SCHOUTEN.-" Visuelle meting van Adaptatie." Schotanus and Jens, Utrecht, 1937. 23. W. D. WRIGHT.-Proc. Roy. Soc. B, p. 115,1934. 24. Proc. Roy. Soc. B, p. 122, 1937. 25. Brit. Ji. Ophthal., January, 1939. 26 W. S. STILES and B. H. CRAW...

Background: Brucellosis is one of the important zoonotic diseases with variety of symptoms and signs. Using of cost effective, easy and safe diagnostic methods in screening of brucellosis is an important priority. Several studies have been carried out to recognize appropriate diagnostic methods and each have reported different results. Aim: The aim of this study was to investigate the sensitivi...