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Flips for 3-folds and 4-folds

Alessio Corti (ed.)

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198570615
eISBN:
9780191717703
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198570615.001.0001
Subject:
Mathematics, Geometry / Topology

The minimal model program in algebraic geometry is a conjectural sequence of algebraic surgery operations that simplifies any algebraic variety to a point where it can be decomposed into pieces with ... More


The Fourth Janko Group

Alexander A. Ivanov

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198527596
eISBN:
9780191713163
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198527596.001.0001
Subject:
Mathematics, Pure Mathematics

This book illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory, and local analysis, are combined to construct one of ... More


6 Creating modulations

Reinhard B. Neder and Thomas Proffen

in Diffuse Scattering and Defect Structure Simulations: A cook book using the program DISCUS

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199233694
eISBN:
9780191715563
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199233694.003.0006
Subject:
Physics, Crystallography: Physics

This chapter discusses modulated structures. Modulations lead to the appearance of sharp satellite reflections in the diffraction pattern. The examples provide an introduction to density and ... More


Smoothing and Decay Estimates for Nonlinear Diffusion Equations: Equations of Porous Medium Type

Juan Luis Vázquez

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199202973
eISBN:
9780191707919
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199202973.001.0001
Subject:
Mathematics, Applied Mathematics

This book is concerned with the quantitative aspects of the theory of nonlinear diffusion equations; equations which can be seen as nonlinear variations of the classical heat equation. They appear as ... More


The Rise of the To-Infinitive

Bettelou Los

Published in print:
2005
Published Online:
September 2007
ISBN:
9780199274765
eISBN:
9780191705885
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199274765.001.0001
Subject:
Linguistics, Historical Linguistics

This book describes the historical emergence and spread of the to-infinitive in English. It shows that to + infinitive emerged from a reanalysis of the preposition to plus a deverbal nominalization, ... More


Finite Sample Econometrics

Aman Ullah

Published in print:
2004
Published Online:
August 2004
ISBN:
9780198774471
eISBN:
9780191601347
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/0198774478.001.0001
Subject:
Economics and Finance, Econometrics

This book presents a comprehensive and unified treatment of finite sample theory, and its application to estimators and test statistics used in various econometric models. Time series, cross section, ... More


The Problem of Infinite Utilities

Jeff Jordan

in Pascal's Wager: Pragmatic Arguments and Belief in God

Published in print:
2006
Published Online:
January 2007
ISBN:
9780199291328
eISBN:
9780191710698
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199291328.003.0004
Subject:
Philosophy, Philosophy of Religion

Pascal's Wager employed infinite utilities, but standard decision theory is incompatible with infinite utilities. In this chapter, the consequences of restricting the Wager to finite utilities are ... More


The Future in Greek: From Ancient to Medieval

Theodore Markopoulos

Published in print:
2008
Published Online:
January 2009
ISBN:
9780199539857
eISBN:
9780191716317
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199539857.001.0001
Subject:
Linguistics, Syntax and Morphology, Historical Linguistics

This book investigates the development of three future‐referring constructions in Greek, namely “μέλλω / œχω / θέλω + Infinitive / complement clause” in the classical (5th–4th c. BC), the ... More


An Introduction to Nonlinear Finite Element Analysis

J. N. Reddy

Published in print:
2004
Published Online:
January 2010
ISBN:
9780198525295
eISBN:
9780191711671
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525295.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book presents the theory and computer implementation of the finite element method as applied to nonlinear problems of heat transfer and similar field problems, fluid mechanics (flows of ... More


Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

Nicholas M. Katz

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153308
eISBN:
9781400842704
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153308.001.0001
Subject:
Mathematics, Number Theory

This book explores an important aspect of number theory—the theory of exponential sums over finite fields and their Mellin transforms—from a new, categorical point of view. The book presents ... More


Complex Ball Quotients and Line Arrangements in the Projective Plane (MN-51)

Paula Tretkoff

Published in print:
2016
Published Online:
October 2017
ISBN:
9780691144771
eISBN:
9781400881253
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691144771.001.0001
Subject:
Mathematics, Geometry / Topology

This book introduces the theory of complex surfaces through a comprehensive look at finite covers of the projective plane branched along line arrangements. It emphasizes those finite coverings that ... More


Some numerical methods for fluids

Bijan Mohammadi and Olivier Pironneau

in Applied Shape Optimization for Fluids

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199546909
eISBN:
9780191720482
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546909.003.0004
Subject:
Mathematics, Mathematical Physics

This chapter deals with the numerical methods that will be used for the flow solvers. As in most commercial and industrial packages, unstructured meshes with automatic mesh generation and adaptation ... More


Convolution of Perverse Sheaves

Nicholas M. Katz

in Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153308
eISBN:
9781400842704
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153308.003.0003
Subject:
Mathematics, Number Theory

Let k be a finite field, q its cardinality, p its characteristic, 𝓁 ≠ p a prime number, and 𝓖/k a smooth commutative group scheme which over k¯ becomes isomorphic to 𝔾ₘ/k¯. This chapter is concerned ... More


An O(2n) Example

Nicholas M. Katz

in Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691153308
eISBN:
9781400842704
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691153308.003.0025
Subject:
Mathematics, Number Theory

This chapter works over a finite field k of odd characteristic. Fix an even integer 2n ≤ 4 and a monic polynomial f(x) ɛ k[x] of degree 2n, f(x)=∑i=02nAixi, A2n=1. The following three assumptions are ... More


Cognition of Structure

Marcus Giaquinto

in Visual Thinking in Mathematics

Published in print:
2007
Published Online:
September 2007
ISBN:
9780199285945
eISBN:
9780191713811
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199285945.003.0011
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter investigates the nature of our grasp of structures by means of visual experience. Structures, which are properties of structured sets of things, are abstract. Does this mean that we can ... More


Numerical Method

Gary A. Glatzmaier

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

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter describes a numerical method for solving equations of thermal convection on a computer. It begins by introducing the vorticity-streamfunction formulation as a means of conserving mass. ... More


Nonlinear Finite-Amplitude Dynamics

Gary A. Glatzmaier

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

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter modifies the numerical code by adding the nonlinear terms to produce finite-amplitude simulations. The nonlinear terms are calculated using a Galerkin method in spectral space. After ... More


Spatial Discretizations

Gary A. Glatzmaier

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

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691141725
eISBN:
9781400848904
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691141725.003.0009
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter considers two ways of employing a spatial resolution that varies with position within a finite-difference method: using a nonuniform grid and mapping to a new coordinate variable. It ... More


Introduction

Aman Ullah

in Finite Sample Econometrics

Published in print:
2004
Published Online:
August 2004
ISBN:
9780198774471
eISBN:
9780191601347
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774478.003.0001
Subject:
Economics and Finance, Econometrics

This introductory chapter begins with a brief discussion on the importance of finite sample econometrics. The developments in this area are described. An overview of the chapters in this volume is ... More


Finiteness in gapping

Sophie Repp

in Negation in Gapping

Published in print:
2009
Published Online:
May 2009
ISBN:
9780199543601
eISBN:
9780191715587
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199543601.003.0005
Subject:
Linguistics, Syntax and Morphology, Theoretical Linguistics

Chapter 5 delivers a new semantic definition of gapping: it is the referential anchoring of a sentence which is elided in the second conjunct of a gapping sentence. It shows that gapping does not ... More


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