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## Introduction to Modeling Convection in Planets and Stars: Magnetic Field, Density Stratification, Rotation

*Gary A. Glatzmaier*

- Published in print:
- 2013
- Published Online:
- October 2017
- ISBN:
- 9780691141725
- eISBN:
- 9781400848904
- Item type:
- book

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691141725.001.0001
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of ... More

## Spherical-wave dynamical theory: I. Kato’s theory

*ANDRÉ AUTHIER*

### in Dynamical Theory of X-Ray Diffraction

- Published in print:
- 2003
- Published Online:
- January 2010
- ISBN:
- 9780198528920
- eISBN:
- 9780191713125
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528920.003.0010
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This chapter is the first of two dealing with the dynamical diffraction of incident spherical waves. It makes use of Kato's theory, which is based on a Fourier expansion of the spherical wave. The ... More

## Algebraic Constructions of Minimal Compactifications

*Kai-Wen Lan*

### in Arithmetic Compactifications of PEL-Type Shimura Varieties

- Published in print:
- 2013
- Published Online:
- October 2017
- ISBN:
- 9780691156545
- eISBN:
- 9781400846016
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691156545.003.0007
- Subject:
- Mathematics, Geometry / Topology

This chapter first studies the automorphic forms that are defined as global sections of certain invertible sheaves on the toroidal compactifications. The local structures of toroidal ... More

## Random Processes and Fields

*Ilya Polyak*

### in Computational Statistics in Climatology

- Published in print:
- 1996
- Published Online:
- November 2020
- ISBN:
- 9780195099997
- eISBN:
- 9780197560938
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195099997.003.0005
- Subject:
- Computer Science, Mathematical Theory of Computation

In this chapter, the nonparametric methods of estimating the spectra and correlation functions of stationary processes and homogeneous fields are considered. It is assumed that the principal ... More

## What Is a Spectral Model?

*T. N. Krishnamurti, H. S. Bedi, and V. M. Hardiker*

### in An Introduction to Global Spectral Modeling

- Published in print:
- 1998
- Published Online:
- November 2020
- ISBN:
- 9780195094732
- eISBN:
- 9780197560761
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195094732.003.0006
- Subject:
- Earth Sciences and Geography, Meteorology and Climatology

If one takes a closed system of the basic meteorological equations and introduces within this system a finite expansion of the dependent variables using functions such as double Fourier or ... More

## Basic Principles of Linear Analysis

*Fon-Che Liu*

### in Real Analysis

- Published in print:
- 2016
- Published Online:
- January 2017
- ISBN:
- 9780198790426
- eISBN:
- 9780191831676
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198790426.003.0005
- Subject:
- Mathematics, Analysis

This chapter on the basic principles of linear analysis presents elements of functional analysis that are frequently used in setting up spaces on which certain operators intimately related to the ... More

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