By Vladimir M. Tikhomirov
The Praesidium of the USSR Academy of Sciences has made up our minds to submit 3 volumes of chosen Works of A.N. Kolmogorov, the most trendy mathematicians of the twentieth century. The artistic paintings of A.N. Kolmogorov is outstandingly flexible. In his stories on trigonometric and orthogonal sequence, conception of degree and inte gral, mathematical common sense, approximation conception, geometry, topology, sensible research, classical mechanics, ergodic conception, superposition of features, and in formation thought, many conceptual and primary difficulties have been solved and new questions have been posed which gave upward thrust to a large number of investigations. A.N. Kolmogorov is among the founders of the Soviet tuition of chance idea, mathematical information, and the speculation of turbulence. In those parts he got a couple of easy effects, with many purposes to mechanics, geophysics, linguistics, biology and different branches of data. This variation contains an important papers by means of A.N. Kolmogorov on arithmetic and ordinary technological know-how. It doesn't comprise philosophical and ped agogical stories of A.N. Kolmogorov, his articles written for the "Bol'shaya Sov'etskaya Entsiklopediya", papers on prosody and numerous functions of arithmetic and courses on basic questions. the fabric of this variation was once chosen and grouped through A.N. Kolmogorov.
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Extra info for Selected Works of A. N. Kolmogorov: Volume I: Mathematics and Mechanics
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Fluid dynamics of the left ventricular filling in dilated cardiomyopathie. J. , 35, 5, 665-671 Computational Dynamics Limited, 2003. StarCD User Guide. Techn. Report, London. , 1959. A Note on Two Problems in Connexion with Graphs. Num. , 2005 Three-dimensional filling flow into a model left ventricle. J. , 2005. Nature optimizes the swirling flow in the human left ventricle. , 1997. Biomechanics: Circulation. , Springer-Verlag, Berlin, Heidelberg, New York. , 1972. Circulation: Overall Regulation.
Ann. Biomed. , 2007 MRI based CFD analysis of flow in a human left ventricle. ,2005 Development and verifikation of ventricle-shaped chambers for the DLR assist device. Artif. , 2003. Semiautomatische Segmentierung des linken Herzventrikels f¨ ur Str¨omungssimulationen. Techn. ,1996 Three-dimensional reconstruction of the flow in a human left heart by using magnetic resonance phase velocity encoding. Ann. Biomed. , 2002. Computer Simulation of Blood Flow, Left Ventricular Wall Motion and their Interrelationship by Fluid-Structure Interaction Finite Element Method .
63, the point of maximum deceleration of the flow occurs. The velocity profiles flatten and the streamlines indicate a first backflow in the ascending branch of the aorta. 85, the aorta has almost completely returned to its initial position. S1 F2 F1 F1 F1 S2 F2 F2 S1 healthy ventricle F2 F1 F2 F3 F3 F1 F2 S F2 F3 ventricle with aneurysm F2 F1 F2 F1 F2 F1 F3 F2 F1 ventricle after surgery systolic diastolic Fig. 24. Flow structures of healthy ventricle, ventricle with aneurysm and ventricle after surgery 31 In the ascending model aorta, a strong deviation due to the pressure pulse is observed.