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Volume II completes the description of the main aspects of the theory, covering representation questions, model theory and decision problems for them, translations from logic to algebra and vice-versa, and relationships with other algebraic versions of logic.
Cylindric algebras. --- Algebraic logic. --- Logic, Symbolic and mathematical --- Algebras, Cylindric --- Cylindrical algebras --- Algebraic logic
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Cylindrical arrays lie at the heart of the antenna systems of most major radio communication systems, including broadcasting networks, cellular 'phone systems and radar. In this book, the authors present practical theoretical methods for determining current distributions, input admittances and field patterns of a wide variety of cylindrical antennas, including the isolated antenna, the two-element array, the circular array, curtain arrays, Yagi and log-periodic arrays, planar arrays and three-dimensional arrays. Coverage includes analysis of horizontal antennas over, on and in the earth and sea, large resonant arrays of electrically short dipoles and a chapter on the theory and techniques of experimental measurement. Written by three of the leading engineers in the field, and based on world-class research carried out at Harvard over the last forty years, Cylindrical Antennas and Arrays is destined to become established as the basic reference for practising engineers and advanced students for many years to come.
Cylindrical antennas. --- Antenna arrays --- Antennas, Dipole --- Antennes-réseaux --- Antenna arrays. --- Antennas, Dipole. --- Cylindrical antennas --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Electrical Engineering --- Antennes-réseaux --- Dipole antennas --- Arrays, Antenna --- Cylinder antennas --- Antennas (Electronics) --- Large space structures (Astronautics)
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The seals collected by Captain Timins of Cairo are here catalogued, reproduced and described by Percy Newberry to make an attractive and useful book. The original collector chose on the basis of historic, as well as artistic merit, to form his choice. The provenance of the seals is mostly from the Eastern Delta and Upper Egypt.
Scarabs --- Cylinder seals --- Cylindrical seals --- Roll seals --- Seals (Numismatics) --- Amulets, Egyptian --- Insect forms in art and archaeology --- Egypt --- Antiquities.
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Functional analysis --- Mathematics --- Mathématiques --- Tables --- 517.58 --- -#WSCH:AAS1 --- sommen --- integralen --- mathieu --- bessel --- euler --- Fourier --- Laplace transformatie --- matrices --- jacobi --- legendre --- Math --- Science --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Basic Sciences. Mathematics --- Tables. --- Numerical Mathematics --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Numerical Mathematics. --- Mathématiques --- #WSCH:AAS1 --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials --- Mathematics - Tables
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This revised and expanded new edition will continue to meet the needs for an authoritative, up-to-date, self contained, and comprehensive account of the rapidly growing field of basic hypergeometric series, or q-series. Simplicity, clarity, deductive proofs, thoughtfully designed exercises, and useful appendices are among its strengths. The first five chapters cover basic hypergeometric series and integrals, whilst the next five are devoted to applications in various areas including Askey-Wilson integrals and orthogonal polynomials, partitions in number theory, multiple series, orthogonal polynomials in several variables, and generating functions. Chapters 9-11 are new for the second edition, the final chapter containing a simplified version of the main elements of the theta and elliptic hypergeometric series as a natural extension of the single-base q-series. Some sections and exercises have been added to reflect recent developments, and the Bibliography has been revised to maintain its comprehensiveness.
517.58 --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Hypergeometric series. --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Hypergeometric series --- Gaussian hypergeometric series --- Gaussian series --- Gauss's series --- Series --- Hypergeometric functions --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis
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The Table of Integrals, Series, and Products is the major reference source for integrals in the English language.It is designed for use by mathematicians, scientists, and professional engineers who need to solve complex mathematical problems.*Completely reset edition of Gradshteyn and Ryzhik reference book*New entries and sections kept in orginal numbering system with an expanded bibliography*Enlargement of material on orthogonal polynomials, theta functions, Laplace and Fourier transform pairs and much more.orthogonal polynomials, theta functions, Laplace and Fourier tr
Functional analysis --- Mathematics --- Mathématiques --- Tables. --- Tables --- 517.58 --- 517.3 --- 519.66 --- -Math --- Science --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Integral calculus. Integration --- Mathematic tables and their compilation --- -Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- 519.66 Mathematic tables and their compilation --- 517.3 Integral calculus. Integration --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- -519.66 Mathematic tables and their compilation --- Math --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials --- Logarithms. --- Logs (Logarithms) --- Algebra --- Mathematics - Tables
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The various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions ? Fq , Meijer's G -function, Fox's H -function, etc. Application of the new special functions allows one to increase considerably the number of problems whose solutions are found in a closed
Legendre's functions. --- Spherical harmonics. --- Functions, Potential --- Potential functions --- Harmonic analysis --- Harmonic functions --- Functions, Legendre's --- Legendre's coefficients --- Legendre's equation --- Spherical harmonics --- Legendre's functions --- 517.58 --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials.
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The Cylinder investigates the surprising proliferation of cylindrical objects in the nineteenth century, such as steam engines, phonographs, panoramas, rotary printing presses, silos, safety locks, and many more. Examining this phenomenon through the lens of kinematics, the science of forcing motion, Helmut Müller-Sievers provides a new view of the history of mechanics and of the culture of the industrial revolution, including its literature, that focuses on the metaphysics and aesthetics of motion. Müller-Sievers explores how nineteenth-century prose falls in with the specific rhythm of cylindrical machinery, re-imagines the curvature of cylindrical spaces, and conjoins narrative progress and reflection in a single stylistic motion. Illuminating the intersection of engineering, culture, and literature, he argues for a concept of culture that includes an epoch's relation to the motion of its machines.
Cylinders. --- Literature, Modern --- Machinery in literature. --- Mechanics in literature. --- Science in popular culture. --- Themes, motives. --- 19th century engineering. --- 19th century. --- american engineering. --- books about engineering. --- books for engineers. --- books for reluctant readers. --- culture and engineering. --- cylindrical objects. --- cylindrical shape analysis. --- discussion books. --- easy to read. --- engaging. --- engineering analysis. --- engineering lovers. --- engineering. --- history of engineering. --- history of machinery. --- how things are made. --- industrial revolution. --- kinematics in 19th century. --- learning from experts. --- mechanical engineering. --- mechanics. --- science and math.
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The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback. Its encyclopedic coverage includes classical topics such as Jacobi, Hermite, Laguerre, Hahn, Charlier and Meixner polynomials as well as those discovered over the last 50 years, e.g. Askey-Wilson and Al-Salam-Chihara polynomial systems. Multiple orthogonal polynomials are discussed here for the first time in book form. Many modern applications of the subject are dealt with, including birth and death processes, integrable systems, combinatorics, and physical models. A chapter on open research problems and conjectures is designed to stimulate further research on the subject. Thoroughly updated and corrected since its original printing, this book continues to be valued as an authoritative reference not only by mathematicians, but also a wide range of scientists and engineers. Exercises ranging in difficulty are included to help both the graduate student and the newcomer.
Orthogonal polynomials. --- Polynômes orthogonaux --- Polynômes orthogonaux --- Orthogonal polynomials --- 517.518.8 --- 517.58 --- 517.518.8 Approximation of functions by polynomials and their generalizations --- Approximation of functions by polynomials and their generalizations --- 517.58 Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials. --- Fourier analysis --- Functions, Orthogonal --- Polynomials --- Special functions. Hyperbolic functions. Euler integrals. Gamma functions. Elliptic functions and integrals. Bessel functions. Other cylindrical functions. Spherical functions. Legendre polynomials. Orthogonal polynomials. Chebyshev polynomials
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Bamboo construction --- Roofs, Shell --- Rural development projects --- Architecture --- Study and teaching (Higher) --- Architecture, Primitive --- Architecture, Western (Western countries) --- Building design --- Buildings --- Construction --- Western architecture (Western countries) --- Art --- Building --- Development projects, Rural --- Projects, Rural development --- Economic development projects --- Barrel-shell roofs --- Butterfly-shell roofs --- Cylindrical shell roofs --- Shell roofs --- Arches --- Domes --- Shells (Engineering) --- Building, Bamboo --- Construction, Bamboo --- Structures, Bamboo --- Design and construction
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