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Sasakian Geometry

Charles Boyer and Krzysztof Galicki

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198564959
eISBN:
9780191713712
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198564959.001.0001
Subject:
Mathematics, Geometry / Topology

Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate relationship between Sasakian and Kähler geometries, especially when the Kähler structure is that of an ... More


Structures on Manifolds

Charles P. Boyer and Krzysztof Galicki

in Sasakian Geometry

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198564959
eISBN:
9780191713712
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198564959.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter begins by introducing various geometries that play important roles in the way they relate to Sasakian structures. It espouses the point of view that a geometric structure is best ... More


Kähler Manifolds

Charles P. Boyer and Krzysztof Galicki

in Sasakian Geometry

Published in print:
2007
Published Online:
January 2008
ISBN:
9780198564959
eISBN:
9780191713712
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198564959.003.0004
Subject:
Mathematics, Geometry / Topology

This chapter reviews some basic facts about Kähler manifolds with special emphasis on projective algebraic varieties. All standard material is covered: complex structures, curvature properties, Hodge ... More


The Human Prefrontal Cortex Stores Structured Event Complexes

Frank Krueger and Jordan Grafman

in Understanding Events: From Perception to Action

Published in print:
2008
Published Online:
May 2008
ISBN:
9780195188370
eISBN:
9780199870462
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195188370.003.0025
Subject:
Psychology, Cognitive Neuroscience

Event sequence knowledge is necessary for learning, planning, and performing activities of daily living. Clinical observations suggest that the prefrontal cortex (PFC) is crucial for goal-directed ... More


Hodge Structures with Complex Multiplication

Mark Green, Phillip Griffiths, and Matt Kerr

in Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691154244
eISBN:
9781400842735
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691154244.003.0006
Subject:
Mathematics, Analysis

This chapter describes Hodge structures with a high degree of symmetry, and specifically complex multiplication Hodge structures or CM Hodge structures. It broadens the notion of CM type by defining ... More


Classification of Mumford-Tate Subdomains

Mark Green, Phillip Griffiths, and Matt Kerr

in Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691154244
eISBN:
9781400842735
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691154244.003.0008
Subject:
Mathematics, Analysis

This chapter develops an algorithm for determining all Mumford-Tate subdomains of a given period domain. The result is applied to the classification of all complex multiplication Hodge structures (CM ... More


Arithmetic of Period Maps of Geometric Origin

Mark Green, Phillip Griffiths, and Matt Kerr

in Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691154244
eISBN:
9781400842735
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691154244.003.0009
Subject:
Mathematics, Analysis

This chapter considers some arithmetic aspects of period maps with a geometric origin. It focuses on the situation Φ‎ : S(ℂ) → Γ‎\D, where S parametrizes a family X → S of smooth, projective ... More


Executive Functions

Jordan Grafman

in Neuroergonomics: The brain at work

Published in print:
2006
Published Online:
May 2009
ISBN:
9780195177619
eISBN:
9780199864683
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195177619.003.0011
Subject:
Neuroscience, Sensory and Motor Systems, Behavioral Neuroscience

This chapter shows that key higher-level cognitive functions known as the executive functions are strongly associated with the human prefrontal cortex (HPFC). It argues that an important way to ... More


Conclusions

Alwyn Lishman

in Patient Participation in Palliative Care: A voice for the voiceless

Published in print:
2003
Published Online:
November 2011
ISBN:
9780198515814
eISBN:
9780191730498
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198515814.003.0014
Subject:
Palliative Care, Patient Care and End-of-Life Decision Making, Palliative Medicine Research

This concluding chapter discusses the personal experience of the author in dealing with palliative care and the concept of the user's voice, which is widely welcomed in seeking to refine the way ... More


Solution of flexible molecular structures by simulated annealing

Peter G. Bruce and Yuri G. Andreev

in Structure Determination from Powder Diffraction Data

Published in print:
2006
Published Online:
January 2010
ISBN:
9780199205530
eISBN:
9780191718076
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199205530.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

The chapter describes a simulated annealing approach to solving highly flexible molecular crystal structures. Particular attention is paid to the description of the models whose position, ... More


Architecture of Counterfactual Thought in the Prefrontal Cortex

Aron K. Barbey, Frank Krueger, and Jordan Grafman

in Predictions in the Brain: Using Our Past to Generate a Future

Published in print:
2011
Published Online:
September 2011
ISBN:
9780195395518
eISBN:
9780199897230
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195395518.003.0018
Subject:
Psychology, Cognitive Psychology, Cognitive Neuroscience

This chapter develops an integrative cognitive neuroscience framework for understanding counterfactual reasoning on the basis of structured event complexes (SECs) in the human prefrontal cortex ... More


Almost complex structures

Dusa McDuff and Dietmar Salamon

in Introduction to Symplectic Topology

Published in print:
2017
Published Online:
June 2017
ISBN:
9780198794899
eISBN:
9780191836411
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198794899.003.0005
Subject:
Mathematics, Analysis, Geometry / Topology

The chapter begins with a general discussion of almost complex structures on symplectic manifolds and then addresses the problem of integrability. Subsequent sections discuss a variety of examples of ... More


Natural Complexity: A Modeling Handbook

Paul Charbonneau

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691176840
eISBN:
9781400885497
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691176840.001.0001
Subject:
Computer Science, Programming

This book provides a short, hands-on introduction to the science of complexity using simple computational models of natural complex systems—with models and exercises drawn from physics, chemistry, ... More


Moduli and deformations

Simon Donaldson

in Riemann Surfaces

Published in print:
2011
Published Online:
December 2013
ISBN:
9780198526391
eISBN:
9780191774874
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526391.003.0013
Subject:
Mathematics, Geometry / Topology, Analysis

This chapter first examines almost-complex structures, Beltrami differentials, and the integrability theorem. It then discusses deformations and cohomology.


Review

Tim Lenton and Andrew Watson

in Revolutions that made the Earth

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199587049
eISBN:
9780191775031
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199587049.003.0020
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

This chapter endeavours to review the similarities between what is happening now and the past revolutions. There are several common features to the great revolutions that have made the present Earth. ... More


Bleibt Alles Anders: Modeling Invention

Markus Eberl

in War Owl Falling: Innovation, Creativity, and Culture Change in Ancient Maya Society

Published in print:
2017
Published Online:
May 2018
ISBN:
9780813056555
eISBN:
9780813053486
Item type:
chapter
Publisher:
University Press of Florida
DOI:
10.5744/florida/9780813056555.003.0004
Subject:
History, Cultural History

Unlike earlier conceptions of society as homogeneous, modern models emphasize its factious nature. Correspondingly, it cannot be reduced to a structure; instead, it contains multiple, coexisting, and ... More


Transformations to multiaged stand structures

Kevin L. O’Hara

in Multiaged Silviculture: Managing for Complex Forest Stand Structures

Published in print:
2014
Published Online:
October 2014
ISBN:
9780198703068
eISBN:
9780191788796
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198703068.003.0010
Subject:
Biology, Plant Sciences and Forestry

There is a growing, international interest in transforming even-aged to multiaged stands. There are many possible pathways for transformation or conversion of stands, and many different possible ... More


Aggregation

Paul Charbonneau

in Natural Complexity: A Modeling Handbook

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691176840
eISBN:
9781400885497
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691176840.003.0003
Subject:
Computer Science, Programming

This chapter explores how naturally occurring inanimate structures grow by accretion of smaller-sized components, focusing on one specific accretion process: diffusion-limited aggregation (DLA). In ... More


The processing complexity of English relative clauses

Edward Gibson, Harry Tily, and Evelina Fedorenko

in Language Down the Garden Path: The Cognitive and Biological Basis for Linguistic Structures

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199677139
eISBN:
9780191756368
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199677139.003.0006
Subject:
Linguistics, Psycholinguistics / Neurolinguistics / Cognitive Linguistics, Theoretical Linguistics

This paper reports two self-paced reading experiments investigating syntactically complex English structures. Evidence from both experiments provides support for working-memory-based accounts of ... More


Percolation

Paul Charbonneau

in Natural Complexity: A Modeling Handbook

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691176840
eISBN:
9781400885497
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691176840.003.0004
Subject:
Computer Science, Programming

This chapter explores a lattice-based system where complex structures can arise from pure randomness: percolation, typically described as the passage of liquid through a porous or granular medium. In ... More


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