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Functional Integration

Functional Integration PDF Author: Cécile Dewitt-Morette
Publisher: Springer Science & Business Media
ISBN: 1489903194
Category : Science
Languages : en
Pages : 436

Book Description
The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.

Functional Integration

Functional Integration PDF Author: Cécile Dewitt-Morette
Publisher: Springer Science & Business Media
ISBN: 1489903194
Category : Science
Languages : en
Pages : 436

Book Description
The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.

The Theory of Propellers

The Theory of Propellers PDF Author: Theodore Theodorsen
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 184

Book Description
Summary: A technical method is given for calculating the axial interference velocity of a propeller. The method involves the use of certain weight functions P, Q, and F. Numerical values for the weight functions are given for two-blade, three-blade, and six-blade propellers.

Unsteady Transonic Flow

Unsteady Transonic Flow PDF Author: Mårten T. Landahl
Publisher: Courier Dover Publications
ISBN: 0486832775
Category : Science
Languages : en
Pages : 147

Book Description
This classic monograph on unsteady transonic flow — the flow of air encountered at speeds at or near the speed of sound — is of continuing interest to students and professionals in aerodynamics, fluid dynamics, and other areas of applied mathematics. After a brief Introduction, Swedish physicist Mårten T. Landahl presents a chapter in which the two-dimensional solution is derived, succeeded by a discussion of its relation to the subsonic and supersonic solutions. Three chapters on low aspect ratio configurations follow, covering triangular wings and similar planforms with curved leading edges, rectangular wings, and cropped delta wings, and low aspect ratio wing-body combinations. The treatment concludes with a consideration of the experimental determination of air forces on oscillating wings at transonic speeds.

Soil Structure

Soil Structure PDF Author: Bobby A. Stewart
Publisher: CRC Press
ISBN: 9781566701730
Category : Technology & Engineering
Languages : en
Pages : 452

Book Description
Soil Structure offers a multidisciplinary approach to the study of soil structure and its relevance to wide ranging investigations in environmental sciences. Topics covered in Soil Structure include soil structure determination, soil fabric genesis and functions, strength and stress distribution, fabric changes in plastic clays, the effects of organic matter and earthworms, air slaking, and hydraulic conductivity changes. The book also discusses litter decomposition and matter transport, the characterization of pore organization, monitoring via a neutron activated tracer, various influences on growth and phosphorus supply of plants and on water uptake by plants, the effects of acidification, and much more. Improved procedures for measuring and calculating the unsaturated hydraulic conductivity of structured soils are also given.

Introduction to Surface Roughness and Scattering

Introduction to Surface Roughness and Scattering PDF Author: Jean M. Bennett
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 128

Book Description


Masters Theses in the Pure and Applied Sciences

Masters Theses in the Pure and Applied Sciences PDF Author: Wade H. Shafer
Publisher: Springer
ISBN: 9780306341205
Category : Science
Languages : en
Pages : 320

Book Description
Masters Theses in the Pure and Applied Sciences was first conceived, published, and dis· seminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS) *at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the ac· tivity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all concerned if the printing and distribution of the volume were handled by an international publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Corporation of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 20 (thesis year 1975) a total of 10,374 theses titles from 28 Canadian and 239 United States universities. We are sure that this broader base for theses titles reported will greatly enhance the value of this important annual reference work. The organization of Volume 20 is identical to that of past years. It consists of theses titles arranged by discipline and by university within each discipline.

Transonic Aerodynamics

Transonic Aerodynamics PDF Author: L. Pamela Cook
Publisher: SIAM
ISBN: 0898713102
Category : Technology & Engineering
Languages : en
Pages : 98

Book Description
This volume offers exciting results, perspectives, and case studies for the treatment of problems arising in transonic aerodynamics. New advances including triple deck theory, analysis of stagnation at the nose of a body, transonic choked flow, and the transonic area rule are presented. Interest in analyzing the transonic range of flight, its stability properties, and especially the question of designing reduced drag (shockless or weak shock) airfoils keeps growing. Present day commercial aircraft cruise in the transonic range. Mechanical and aeronautical engineers interested in compressible fluid flows, design of optimal wings, and an understanding of transonic flow held about wings and airfoils will find the book invaluable. This book is understandable to those with a knowledge of continuum mechanics (fluids) and asymptotic methods. It is appropriate for graduate courses in aerodynamics and mathematical methods.

Spatial Analysis in Geomorphology

Spatial Analysis in Geomorphology PDF Author: Richard J. Chorley
Publisher: Routledge
ISBN: 1000007081
Category : Science
Languages : en
Pages : 396

Book Description
Originally published in 1972. This book covers from ‘linear’ statistical methods, regression and variance analysis to multivariate methods to wider spatial analytic techniques, in which a clear association is maintained between quantitative data and the spatial coordinates which locate them. The purpose of this volume is to highlight this coherent area of scholarship under the general headings of spatial point systems, networks, continuous distributions, partitioning and simulation. Seventeen authors from Britain and the United States have been brought together to produce a book whose attention is on the body of spatial techniques necessary to enable the building of dynamic spatial models of landforms which formed the keystone of much geomorphic work in future years.

Rough Surfaces

Rough Surfaces PDF Author: T. R. Thomas
Publisher: World Scientific Publishing Company
ISBN: 9781860941009
Category : Technology & Engineering
Languages : en
Pages : 278

Book Description
This text addreseses the topic of surface roughness, how to measure and describe it, and what practical problems it might cause. Updated to include advances in measurement and characterization, this second edition introduces modern instruments, including laser interferometers and AFMs, and there are sections on fractals and motif analysis. Problems of 3D surface measurement and description are extensively treated. Manufacturing and production engineers, optical and QC engineers, tribologists and many other applied scientists should find this book useful.

Advances in Morphometrics

Advances in Morphometrics PDF Author: Leslie F. Marcus
Publisher: Springer Science & Business Media
ISBN: 9780306453014
Category : Mathematics
Languages : en
Pages : 630

Book Description
''An important addition to your library.'' ---American Scientist