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535 p. : 24 cm. --

Being inspired by phasor analysis in linear circuit theory, and its algebraic counterpart - the AC-(operational)-calculus for sinusoids developed by W. Marten and W. Mathis - we define a complex structure on several spaces of real-valued elementary functions. This is used to algebraize inhomogeneous linear ordinary differential equations with inhomogenities stemming from these spaces. Thus we deduce an effective method to calculate particular solutions of these ODEs in a purely algebraic way.

Deterministic linear network coding (DLNC) is an important family of network coding techniques for wireless packet broadcast. In this paper, we show that DLNC is strongly related to and can be effectively studied using matroid theory without bridging index coding. We prove the equivalence between the DLNC solution and matrix matroid. We use this equivalence to study the performance limits of DLNC in terms of the number of transmissions and its dependence on the finite field size. Specifically, we derive the sufficient and necessary condition for the existence of perfect DLNC solutions and prove that such solutions may not exist over certain finite fields. We then show that identifying perfect solutions over any finite field is still an open problem in general. To fill this gap, we develop a heuristic algorithm which employs graphic matroids to find perfect DLNC solutions over any finite field. Numerical results show that its performance in terms of minimum number of transmissions is close to the lower bound, and is better than random linear network coding when the field size is not so large.

STICAP (Stiff Circuit Analysis Program) is a FORTRAN 4 computer program written for the CDC-6400-6600 computer series and SCOPE 3.0 operating system. It provides the circuit analyst a tool for automatically computing the transient responses and frequency responses of large linear time invariant networks, both stiff and nonstiff (algorithms and numerical integration techniques are described). The circuit description and user's program input language is engineer-oriented, making simple the task of using the program. Engineering theories underlying STICAP are examined. A user's manual is included which explains user interaction with the program and gives results of typical circuit design applications. Also, the program structure from a systems programmer's viewpoint is depicted and flow charts and other software documentation are given.

 THE theory of linear electrical circuits is developing in two main fields: network analysis, i.e. the calculation of electrical values for given circuits and parameters; and network synthesis, i.e. determining electrical circuits with prescribed characteristics. These two branches of modern circuit theory have a common physical and mathematical basis. The physical basis consists of the experimental laws of circuit theory, and the mathematical basis consists of operations in a complex plane. Based on common principles, they are complementary in the sense of ever extending our information about the most rational methods of calculating and designing diverse electrical circuits. The analysis and synthesis are therefore developing and becoming known, not separately, but interdependently.   The theory of linear electrical circuits is of exceptional significance for developing the scientific outlook of specialists in electrical and radio engineering. All the specialized disciplines of these two fields are based on it, and that is why many people are today extremely interested in the detailed study-of the analysis and synthesis of electrical circuits. Every year the organization of mathematical education in higher technical institutions pays greater recognition to the necessity of intensifying the mathematical preparation of students in the relevant branches of mathematical analysis (special functions, matrices, Fourier and Laplace transformations, analytic functions, etc.). The present situation is important in that it makes it possible to set forth and study special theoretical disciplines, including the theory of linear electrical circuits, at the proper scientific and theoretical level.   This theory covers an extremely wide field of knowledge. Its scientific content is expounded, in varying degrees of completeness, in present-day text-books on the theoretical principles of electrical and radio engineering and of line communication. More detailed treatment of questions relating to the theory of electrical circuits (electric filters, wave-shaping circuits, etc.) is given in specialized courses and monographs.   This book is devoted to the problems of linear network analysis and synthesis. It is intended to serve as an aid to students in specialized branches of radio and electrical engineering, post-graduates, and engineers extending their theoretical knowledge. The author has endeavoured to devote maximum attention to combining mathematical conclusions with physical representations, the material being arranged as far as possible in order of increasing complexity.   As an aid to readers who are not very familiar with analytic functions, brief information concerning the theory of functions of a complex variable is given at the end of the book. In writing this book, side by side with many Russian and foreign publications, the author has also made use of his books Linear Electrical Circuits (Oborongiz 1957) and Harmonic Analysis and the Operator Method (Oborongiz 1956), which were based on lectures given by the author to students and post-graduates 0f the radio and electrical engineering faculties of the Moscow Aviation Institute. The author is grateful to the staff of the Theoretical Electrical Engineering Department of the Moscow Aviation Institute, and to Professors Ya. Z.Tsypkin and D.F.Kharazov, for the valuable comments which they made on reading through the manuscript.

1How It Flies or, Conquest of the Air

By Richard Ferris

In these pages, by means of simple language and suitable pictures, the author has told the story of the Ships of the Air. He has explained the laws of their flight; sketched their development to the present day; shown how to build the flying machine and the balloon, and how to operate them; recounted what man has done, and what he hopes to do with their aid. In a word, all the essential facts that enter into the Conquest of the Air have been gathered into orderly form, and are here presented to the public. We who live to-day have witnessed man’s great achievement; we have seen his dream of ages come true. Man has learned to fly! The air which surrounds us, so intangible and so commonplace that it seldom arrests our attention, is in reality a vast, unexplored ocean, fraught with future possibilities. Even now, the pioneers of a 8 countless fleet are hovering above us in the sky, while steadily, surely these wonderful possibilities are unfolded. - Summary by From the Preface