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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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