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Fourier Hadamard And Hilbert Transforms In Chemistry


Fourier Hadamard And Hilbert Transforms In Chemistry
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Fourier Hadamard And Hilbert Transforms In Chemistry


Fourier Hadamard And Hilbert Transforms In Chemistry
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Author : Alan Marshall
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Fourier Hadamard And Hilbert Transforms In Chemistry written by Alan Marshall and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.


In virtually all types of experiments in which a response is analyzed as a function of frequency (e. g. , a spectrum), transform techniques can significantly improve data acquisition and/or data reduct ion. Research-level nuclear magnet ic resonance and infra-red spectra are already obtained almost exclusively by Fourier transform methods, because Fourier transform NMR and IR spectrometers have been commercially available since the late 1960·s. Similar transform techniques are equally valuable (but less well-known) for a wide range of other chemical applications for which commercial instruments are only now becoming available: for example, the first corrmercial Fourier transform mass spectrometer was introduced this year (1981) by Nicolet Instrument Corporation. The purpose of this volume is to acquaint practicing chemists with the basis, advantages, and applica of Fourier, Hadamard, and Hilbert transforms in chemistry. For tions almost all chapters, the author is the investigator who was the first to apply such methods in that field. The basis and advantages of transform techniques are described in Chapter 1. Many of these aspects were understood and first applied by infrared astronomers in the 1950·s, in order to improve the otherwise unacceptably poor signal-to-noise ratio of their spec tra. However, the computations required to reduce the data were painfully slow, and required a 1 arge computer.



Fourier Hadamard And Hibert Transforms In Chemistry


Fourier Hadamard And Hibert Transforms In Chemistry
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Author : Alan G. Marshall
language : en
Publisher:
Release Date : 1982

Fourier Hadamard And Hibert Transforms In Chemistry written by Alan G. Marshall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.




Hilbert Transforms Volume 2


Hilbert Transforms Volume 2
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Author : Frederick W. King
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-27

Hilbert Transforms Volume 2 written by Frederick W. King and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-27 with Mathematics categories.


The definitive reference on Hilbert transforms covering the mathematical techniques for evaluating them, and their application.



Application Of Hartley And Hilbert Transforms In Fourier Transform Ion Cyclotron Resonance Mass Spectrometry


Application Of Hartley And Hilbert Transforms In Fourier Transform Ion Cyclotron Resonance Mass Spectrometry
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Author : Christopher Paul Williams
language : en
Publisher:
Release Date : 1992

Application Of Hartley And Hilbert Transforms In Fourier Transform Ion Cyclotron Resonance Mass Spectrometry written by Christopher Paul Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.




Mathematics For Physical Chemistry


Mathematics For Physical Chemistry
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Author : Robert G. Mortimer
language : en
Publisher: Elsevier
Release Date : 2005-06-10

Mathematics For Physical Chemistry written by Robert G. Mortimer and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-10 with Science categories.


Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data. Numerous examples and problems interspersed throughout the presentations Each extensive chapter contains a preview, objectives, and summary Includes topics not found in similar books, such as a review of general algebra and an introduction to group theory Provides chemistry specific instruction without the distraction of abstract concepts or theoretical issues in pure mathematics



Fourier Transforms In Nmr Optical And Mass Spectrometry


Fourier Transforms In Nmr Optical And Mass Spectrometry
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Author : A.G. Marshall
language : en
Publisher: Elsevier
Release Date : 2016-02-25

Fourier Transforms In Nmr Optical And Mass Spectrometry written by A.G. Marshall and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-25 with Science categories.


Written by spectroscopists for spectroscopists, here is a book which is not only a valuable handbook and reference work, but also an ideal teaching text for Fourier transform methods as they are applied in spectroscopy. It offers the first unified treatment of the three most popular types of FT/spectroscopy, with uniform notation and complete indexing of specialized terms. All mathematics is self-contained, and requires only a knowledge of simple calculus. The main emphasis is on pictures and physical analogs rather than detailed algebra. Instructive problems, presented at the end of each chapter, offer extensions of the basic treatment. Solutions are given or outlined for all problems. The book offers a wealth of practical information to spectroscopists. Non-ideal effects are treated in detail: noise (source- and detector-limited); non-linear response; limits to spectrometer performance based on finite detection period, finite data size, mis-phasing, etc. Common puzzles and paradoxes are explained: e.g. use of mathematically complex variables to represent physically real quantities; interpretation of negative frequency signals; on-resonance vs. off-resonance response; interpolation (when it helps and when it doesn't); ultimate accuracy of the data; differences between linearly- and circularly-polarized radiation; multiplex advantage or disadvantage, etc. Chapter 1 introduces the fundamental line shapes encountered in spectroscopy, from a simple classical mass-on-a-spring model. The Fourier transform relationship between the time-domain response to a sudden impulse and the steady-state frequency-domain response (absorption and dispersion spectra) to a continuous oscillation is established and illustrated. Chapters 2 and 3 summarize the basic mathematics (definitions, formulas, theorems, and examples) for continuous (analog) and discrete (digital) Fourier transforms, and their practical implications. Experimental aspects which are common to the signal (Chapter 4) and noise (Chapter 5) in all forms of Fourier transform spectrometry are followed by separate chapters for treatment of those features which are unique to FT/MS, FT/optical, FT/NMR, and other types of FT/spectroscopy. The list of references includes both historical and comprehensive reviews and monographs, along with articles describing several key developments. The appendices provide instant access to FT integrals and fast algorithms as well as a pictorial library of common Fourier transform function pairs. The comprehensive index is designed to enable the reader to locate particular key words, including those with more than one name.



Fundamentals And Applications Of Fourier Transform Mass Spectrometry


Fundamentals And Applications Of Fourier Transform Mass Spectrometry
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Author : Philippe Schmitt-Kopplin
language : en
Publisher: Elsevier
Release Date : 2019-08-11

Fundamentals And Applications Of Fourier Transform Mass Spectrometry written by Philippe Schmitt-Kopplin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-11 with Science categories.


Fundamentals and Applications of Fourier Transform Mass Spectrometry is the first book to delve into the underlying principles on the topic and their linkage to industrial applications. Drs. Schmitt-Kopplin and Kanawati have brought together a team of leading experts in their respective fields to present this technique from many different perspectives, describing, at length, the pros and cons of FT-ICR and Orbitrap. Numerous examples help researchers decide which instruments to use for their particular scientific problem and which data analysis methods should be applied to get the most out of their data. Covers FT-ICR-MS and Orbitrap’s fundamentals, enhancing researcher knowledge Includes details on ion sources, data processing, chemical analysis and imaging Provides examples across the wide spectrum of applications, including omics, environmental, chemical, pharmaceutical and food analysis



Fourier Meets Hilbert And Riesz


Fourier Meets Hilbert And Riesz
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Author : René Erlin Castillo
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-07-05

Fourier Meets Hilbert And Riesz written by René Erlin Castillo and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-05 with Mathematics categories.


This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms. Ideal for self-study or a one semester course in Fourier analysis, included are detailed examples and exercises.



Handbook Of Near Infrared Analysis Second Edition


Handbook Of Near Infrared Analysis Second Edition
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Author : Donald A. Burns
language : en
Publisher: CRC Press
Release Date : 2001-06-28

Handbook Of Near Infrared Analysis Second Edition written by Donald A. Burns and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-28 with Science categories.


With contributions from over 40 experts in the field, this reference presents comprehensive, single-source coverage of the instrumentation, computerization, calibration, and methods development of NIR spectroscopy. It provides novel applications for accurate time- and cost-effective analyses of pharmaceuticals, polymers, textiles, agricultural products, dairy products, foods, and beverages. Emphasizing trends in sample preparation, the book covers historical development, calibration transfer, biomedical applications, plastics, and counterfeiting; on-line, in-line, and at-line analyses for process control, multilinear regression and principal component analysis, and more.



Dna Identification


Dna Identification
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Author : United States. Congress. Senate. Committee on the Judiciary. Subcommittee on the Constitution
language : en
Publisher:
Release Date : 1990

Dna Identification written by United States. Congress. Senate. Committee on the Judiciary. Subcommittee on the Constitution and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Abortion categories.