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DESCRIPTION AND SYMMETRY OF APERIODIC CRYSTALS

Ted Janssen, Gervais Chapuis, and Marc de Boissieu

in Aperiodic Crystals: From Modulated Phases to Quasicrystals

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198567776
eISBN:
9780191718335
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567776.003.0002
Subject:
Physics, Crystallography

This chapter discusses aperiodic crystals. The structure and symmetry of quasiperiodic crystals can be described by embedding them into a higher-dimensional space as lattice periodic structures. ... More


Transformation, convolution, and correlation

Bernhard Blümich

in NMR Imaging of Materials

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198526766
eISBN:
9780191709524
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526766.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

Transformation, convolution, and correlation are used over and over again in nuclear magnetic resonance (NMR) spectroscopy and imaging in different contexts and sometimes with different meanings. The ... More


Formal means

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0026
Subject:
Physics, Nuclear and Plasma Physics

This chapter elucidates various mathematical formulas. Based on expressions for Gaussian integrals in one and many dimensions, the methods of stationary phase and steepest descent are deduced, ... More


Mirror Symmetry of Fourier—Mukai Transformation for Elliptic Calabi—Yau Manifolds

Naichung Conan Leung and Shing‐Tung Yau

in The Many Facets of Geometry: A Tribute to Nigel Hitchin

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199534920
eISBN:
9780191716010
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534920.003.0015
Subject:
Mathematics, Geometry / Topology

Mirror symmetry conjecture says that for any Calabi–Yau (CY) manifold M near the large complex/symplectic structure limit, there is another CY manifold X, called the mirror manifold, such that the ... More


Multidimensional PGSE NMR

Paul T. Callaghan

in Translational Dynamics and Magnetic Resonance: Principles of Pulsed Gradient Spin Echo NMR

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199556984
eISBN:
9780191774928
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556984.003.0009
Subject:
Physics, Condensed Matter Physics / Materials, Nuclear and Plasma Physics

This chapter shows how both Fourier transformation and inverse Laplace transformation can be used in conjunction with pulsed gradient spin echo NMR, as a basis for a multidimensional ... More


Introductory magnetic resonance

Paul T. Callaghan

in Translational Dynamics and Magnetic Resonance: Principles of Pulsed Gradient Spin Echo NMR

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199556984
eISBN:
9780191774928
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556984.003.0004
Subject:
Physics, Condensed Matter Physics / Materials, Nuclear and Plasma Physics

This chapter introduces the basic principles of magnetic resonance, making the connection between the quantum and classical descriptions. Resonant excitation and nutation are outlined, in the context ... More


Experimental procedures of crystallographic image processing

Xiaodong Zou, Sven Hovmöller, and Peter Oleynikov

in Electron Crystallography: Electron Microscopy and Electron Diffraction

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199580200
eISBN:
9780191731211
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199580200.003.0008
Subject:
Physics, Crystallography

The practical experimental procedures of crystallographic image processing are described with ample figures from actual HRTEM images. A thin area of an image is Fourier transformed. The amplitudes ... More


Generating Stimuli

Zhong-Lin Lu and Barbara Dosher

in Visual Psychophysics: From Laboratory to Theory

Published in print:
2013
Published Online:
May 2014
ISBN:
9780262019453
eISBN:
9780262314930
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262019453.003.0003
Subject:
Psychology, Vision

The implementation of experiments generally starts with the definition of what is displayed to the observer. This chapter is designed to take the reader through a simple introduction to digital ... More


Visualizing the Invisible: Imaging Techniques for the Structural Biologist

Peter Moore

Published in print:
2012
Published Online:
May 2015
ISBN:
9780199767090
eISBN:
9780190267841
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:osobl/9780199767090.001.0001
Subject:
Biology, Biochemistry / Molecular Biology

Knowledge of the microscopic structure of biological systems is the key to understanding their physiological properties. Most of what we now know about this subject has been generated by techniques ... More


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