Millions of people are searching for secrets,wisdom, knowledge, and practical techniques to heal, rejuvenate, prolong life, and move toward immortality. The way to accomplish all of these is to reach and meld with Tao. This book, the successor to Tao I: The Way of All Life, reveals the highest secrets and most powerful practical techniques for the Tao journey, which includes one’s physical healing and rejuvenation journey and one’s entire spiritual journey. Its essence can be summarized in one sentence: Jin Dan Da Tao Xiu Lian is the way to heal, rejuvenate, prolong life, and move in the direction of immortality. Shou Yi Yan Jin Ye is the most important daily practice for reaching Tao. “Shou yi” means focus on the Jin Dan area below the navel. “Yan jin ye” means swallow Heaven’s sacred liquid and Mother Earth’s sacred liquid. Tao II: The Way of Healing, Rejuvenation, Longevity, and Immortality explains the significance of this highest secret and exactly how to do it. It gives you the sacred key for your whole life’s practice and shares two hundred and twenty sacred phrases that include not only profound sacred wisdom but also additional simple and practical techniques. Practice. Practice. Practice. Reach fan lao huan tong, which is to transform old age to the health and purity of the baby state. Prolong life. The final goal is to reach immortality to be a better servant for humanity, Mother Earth, and all universes.

This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

Focuses on ergodic theory, combinatorics, and number theory. This book discusses a variety of topics, ranging from developments in additive prime number theory to expository articles on individual mathematical topics such as the law of large numbers and the Lucas-Lehmer test for Mersenne primes.

This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.

This two-volume set LNCS 11554 and 11555 constitutes the refereed proceedings of the 16th International Symposium on Neural Networks, ISNN 2019, held in Moscow, Russia, in July 2019. The 111 papers presented in the two volumes were carefully reviewed and selected from numerous submissions. The papers were organized in topical sections named: Learning System, Graph Model, and Adversarial Learning; Time Series Analysis, Dynamic Prediction, and Uncertain Estimation; Model Optimization, Bayesian Learning, and Clustering; Game Theory, Stability Analysis, and Control Method; Signal Processing, Industrial Application, and Data Generation; Image Recognition, Scene Understanding, and Video Analysis; Bio-signal, Biomedical Engineering, and Hardware.