Random Functions and Turbulence (International Series of Monographs in Natural Philosophy) (Monographs in Natural Philosophy)

From ''Data on the theory of probability'' to ''Applications to Numerical Weather Analysis and Prediction''. includes charts, examples, and diagrams to aid your studies Content: OTHER TITLES IN THE SERIES IN NATURAL PHILOSOPHY , Page ii Front Matter , Page iii Copyright , Page iv FOREWORD TO THE ENGLISH EDITION , Pages ix-x INTRODUCTION , Pages xi-xiii CHAPTER 1 - CERTAIN DATA ON THE THEORY OF PROBABILITY , Pages 3-33 CHAPTER 2 - RANDOM PROCESSES , Pages 34-77 CHAPTER 3 - RANDOM FIELDS , Pages 78-136 CHAPTER 4 - THE STATISTICAL THEORY OF TURBULENCE—THE METHOD OF SIMILARITY AND DIMENSIONALITY , Pages 139-155 CHAPTER 5 - THE STATISTICAL THEORY OF TURBULENCE—THE CORRELATION METHOD , Pages 156-185 CHAPTER 6 - THE STATISTICAL THEORY OF TURBULENCE—THE SPECTRAL METHOD , Pages 186-246 CHAPTER 7 - SOME ADDITIONAL PROBLEMS OF THE STATISTICAL THEORY OF TURBULENCE , Pages 247-270 CHAPTER 8 - SMALL-SCALE ATMOSPHERIC TURBULENCE , Pages 273-309 CHAPTER 9 - LARGE-SCALE ATMOSPHERIC TURBULENCE , Pages 310-380 CHAPTER 10 - SOME APPLICATIONS TO NUMERICAL WEATHER ANALYSIS AND PREDICTION , Pages 381-407 APPENDIX - THE LARGE-SCALE LAGRANGIAN TURBULENCE IN THE ATMOSPHERE , Pages 409-423 REFERENCES , Pages 425-437 AUTHOR INDEX , Pages 439-440 SUBJECT INDEX , Pages 441-444 International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random .. By S. Panchev. Translation Of Sluchaĭni Funktsii I Turbulentnost. Bibliography: P. 425-437.