Download or read book Mathematical Programming Solution to the Phase Problem of Crystallography written by William A. Thompson and published by . This book was released on 1978 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Programming Solution to the Phase Problem of Crystallography written by William Albert Thompson and published by . This book was released on 1980 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Programming Solution to the Phase Problem of Crystallography Applied to a Crystalline Compound of Planar Molecules written by Lawrence P. Brehm and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1990 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Masters Theses in the Pure and Applied Sciences written by Wade H. Shafer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 23 (thesis year 1978) a total of 10,148 theses titles from 27 Canadian and 220 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. While Volume 23 reports these submitted in 1978, on occasion, certain universities do report theses submitted in previous years but not reported at the time.

Download or read book Solution of the Phase Problem written by American Crystallographic Association and published by . This book was released on 1944 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computing Methods in Crystallography written by J. S. Rollett and published by Elsevier. This book was released on 2016-06-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing Methods in Crystallography is a collection of lectures delivered at a Summer School, held in Oxford in August 1962. The book presents the underlying mathematics and computing methods in crystallography. The text covers topics on the algebra required for the fundamental operations of transformation of coordinates, interpolation, approximation of trigonometric and exponential functions, solution of linear equations and derivation of latent roots and vectors; methods for calculation of structure factors, least-squares adjustment, and Fourier series evaluation; the theory and practice of intensity scaling and symmetry determination; and methods of direct phase determination. Crystallographers, physicists, and students in allied fields will find the book very useful.

Download or read book Solution of the Phase Problem I The Centrosystemmetric Crystal written by Herbert Aaron Hauptman and published by . This book was released on 1953 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solution of the Phase Problem written by Herbert Aaron Hauptman and published by . This book was released on 1953 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1987 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Direct Methods Macromolecular Crystallography And Crystallographic Statistics Proceedings Of Winter School written by H Schenk and published by World Scientific. This book was released on 1987-02-01 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vasopressin is a hormone which has an increasingly important profile. Not only does it play a physiologically significant role in renal water regulation but it also has other renal actions and plays a role in overall cardiovascular control. Even more interesting is the recent growing interest in its potential effects on the brain, notably its influence on specific behaviours.This monograph about the polypeptide vasopressin covers all aspects relating to the production, control of release, and actions of this molecule within the body, including its roles as a hormone and as a central neurotransmitter. A consideration of the evolution of the molecule across the species and a brief historical perspective are also included. Clinical conditions associated with hypo- and hyper-production states are considered together with aspects of treatment, in addition to other clinical correlates./a

Download or read book Solution of the Phase Problem written by Herbert Hauptman and published by . This book was released on 1953 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book International Tables for Crystallography Volume B written by Uri Shmueli and published by Springer Science & Business Media. This book was released on 2008-08-27 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Tables for Crystallography are no longer available for purchase from Springer. For further information please contact Wiley Inc. (follow the link on the right hand side of this page). Volume B presents accounts of the numerous aspects of reciprocal space in crystallographic research. After an introductory chapter, Part 1 presents the reader with an account of structure-factor formalisms, an extensive treatment of the theory, algorithms and crystallographic applications of Fourier methods, and fundamental as well as advanced treatments of symmetry in reciprocal space. In Part 2, these general accounts are followed by detailed expositions of crystallographic statistics, the theory of direct methods, Patterson techniques, isomorphous replacement and anomalous scattering, and treatments of the role of electron microscopy and diffraction in crystal structure determination, including applications of direct methods to electron crystallography. Part 3 deals with applications of reciprocal space to molecular geometry and `best'-plane calculations, and contains a treatment of the principles of molecular graphics and modelling and their applications. A convergence-acceleration method of importance in the computation of approximate lattice sums is presented and the part concludes with a discussion of the Ewald method. Part 4 contains treatments of various diffuse-scattering phenomena arising from crystal dynamics, disorder and low dimensionality (liquid crystals), and an exposition of the underlying theories and/or experimental evidence. Polymer crystallography and reciprocal-space images of aperiodic crystals are also treated. Part 5 of the volume contains introductory treatments of the theory of the interaction of radiation with matter (dynamical theory) as applied to X-ray, electron and neutron diffraction techniques. The simplified trigonometric expressions for the structure factors in the 230 three-dimensional space groups, which appeared in Volume I of International Tables for X-ray Crystallography, are now given in Appendix 1.4.3 to Chapter 1.4 of this volume. Volume B is a vital addition to the library of scientists engaged in crystal structure determination, crystallographic computing, crystal physics and other fields of crystallographic research. Graduate students specializing in crystallography will find much material suitable for self-study and a rich source of references to the relevant literature.

Download or read book An Introduction to Direct Methods written by Hendrik Schenk and published by . This book was released on 1984 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Unconventional Approaches to the Solution of the Crystallographic Phase Problem written by Anton Thumiger and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Solution of the Phase Problem written by Herbert A. Hauptman and published by . This book was released on 1953 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Phase Retrieval Problem written by David Aaron Barmherzig and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The phase retrieval problem is an inverse problem which consists of recovering a signal from a set of squared magnitude measurements. One version of this problem, often known as Fourier phase retrieval, arises ubiquitously in scientific imaging fields (such as diffraction imaging, crystallography, and optics, etc.) where one seeks to recover an image or signal from squared magnitude measurements of its Fourier transform. Another version, known as Gaussian phase retrieval, is manifested as the study of solving random systems of quadratic equations, and constitutes an important problem in the field of nonconvex optimization. The first part of this thesis introduces a general mathematical framework for the holographic phase retrieval problem. In this problem, which arises in holographic coherent diffraction imaging, a "reference" portion of the signal to be recovered via (Fourier) phase retrieval is a priori known from experimental design. A general formula is also derived for the expected recovery error when the measurement data is corrupted by Poisson shot noise. This facilitates an optimization perspective towards reference design and analysis, which is then employed towards quantifying the performance of various known reference choices. Based on insights gained from these results, a new "dual-reference" design is proposed which consists of two reference portions - being "block" and "pinhole" shaped regions - adjacent to the imaging specimen. Expected error analysis on data following a Poisson shot noise model shows that the dual-reference scheme produces uniformly superior performance over the leading single-reference schemes. Numerical experiments on simulated data corroborate these theoretical results, and demonstrate the advantage of the dual-reference design. Based on this work, a prototype experiment for holographic coherent diffraction imaging using a dual-reference has been designed at the SLAC National Accelerator Laboratory. The second part studies the one-dimensional Fourier phase retrieval problem, as well as the closely related spectral factorization problem. In its first chapter, a comprehensive exposition of the problem theory is provided. This includes a full characterization of its general nonuniqueness, as well as the special cases for which unique solutions exists. In the second chapter, a semidefinite programming formulation is derived for the Fourier phase retrieval problem. It is shown that this approach provides guaranteed recovery whenever there exists a unique phase retrieval solution. A correspondence is also established between solutions of the phase retrieval SDP, and sum-of-squares decompositions of Laurent and trigonometric polynomials. In the third chapter, a least-squares formulation is presented for the one-dimensional Fourier phase retrieval and spectral factorization problems. This formulation allows for the successful implementation of numerous first- and second-order optimization methods. In the third part, a biconvex formulation of the Gaussian phase retrieval problem is introduced. This allows for alternating-projection algorithms, such as ADMM and block coordinate descent, to be successfully applied to Gaussian phase retrieval. Both theoretical guarantees and numerical simulations demonstrate the success of these methods.