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HARMONIC FUNCTIONS AND RADON TRANSFORM ON ALGEBRAIC VARIETIES

Leon Ehrenpreis

in The Universality of the Radon Transform

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198509783
eISBN:
9780191709166
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509783.003.0004
Subject:
Mathematics, Mathematical Physics

This chapter looks at a variation of the “harmonic function” introduced by Chevalley. It deals with a noncompact version of the theory described in Chapter 3 (which deals with a compact version). One ... More


The Evolution of Consciousness

Euan Macphail

Published in print:
1998
Published Online:
March 2012
ISBN:
9780198503248
eISBN:
9780191686481
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198503248.001.0001
Subject:
Psychology, Cognitive Psychology

Are non-human animals conscious? When do babies begin to feel pain? What function is served by consciousness? What evidence could resolve these issues? These questions are tackled by exploring ... More


Global Existence Theorems: Asymptotically Euclidean Data

Yvonne Choquet-Bruhat

in General Relativity and the Einstein Equations

Published in print:
2008
Published Online:
May 2009
ISBN:
9780199230723
eISBN:
9780191710872
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199230723.003.0015
Subject:
Mathematics, Applied Mathematics

This chapter shows how the Penrose transform can be used to prove global existence of solutions of various semilinear field equations. It outlines the foundation points of Friedrich's conformal ... More


Roland Penrose: The Life of a Surrealist

James King

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
book
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.001.0001
Subject:
Art, Art History

As an artist, an impresario, a biographer and a collector, Roland Penrose (1900–1984) is a key figure in the study of modern art in England. This book explores the intricacies of Penrose's life and ... More


Consciousness of Abstract Objects *

Richard Tieszen

in Phenomenology and Philosophy of Mind

Published in print:
2005
Published Online:
May 2010
ISBN:
9780199272457
eISBN:
9780191709951
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199272457.003.0009
Subject:
Philosophy, Philosophy of Mind

Edmund Husserl is one of only a few major philosophers in the last one hundred years or so who holds that it is possible to develop a philosophy of mind in which one can account for the consciousness ... More


CHEMICAL LOCALIZATION

V.F. Gantmakher

in Electrons and Disorder in Solids

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198567561
eISBN:
9780191718267
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567561.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter presents an analysis of experimental data which shows that the metal-insulator transition is possible in materials composed of atoms of only metallic elements. Such a transition may ... More


‘Born a Quaker’ (1900–1913)

James King

in Roland Penrose: The Life of a Surrealist

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.003.0001
Subject:
Art, Art History

This chapter details Roland Penrose's early life. Roland was born on 14 October 1900. He had two older brothers Alexander (Alec) and Lionel, born in 1896 and 1898, respectively. His Irish-born father ... More


Advanced General Relativity: Gravity Waves, Spinning Particles, and Black Holes

Claude Barrabès and Peter A. Hogan

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199680696
eISBN:
9780191760662
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199680696.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This book is aimed at students who have completed a final year undergraduate course on general relativity and supplemented it with additional techniques by individual study or in a taught MSc ... More


Black holes

Ta-Pei Cheng

in Relativity, Gravitation and Cosmology: A Basic Introduction

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199573639
eISBN:
9780191722448
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573639.003.0008
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Black hole is an object so compact that it is inside its event horizon: a one-way surface through which particle and light can only traverse inward, and an exterior observer cannot receive any signal ... More


Taking physics seriously

Jeffrey Gray

in Consciousness: Creeping up on the hard problem

Published in print:
2006
Published Online:
April 2010
ISBN:
9780198520917
eISBN:
9780191584916
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198520917.003.0016
Subject:
Psychology, Cognitive Psychology

This chapter shows that the Hameroff–Penrose theory of how different quantum superpositions in microtubules in different brain areas give rise to different qualia must rely for the origin of these ... More


Final Philosophical Remarks

Gennaro Auletta

in Cognitive Biology: Dealing with Information from Bacteria to Minds

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199608485
eISBN:
9780191729539
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199608485.003.0026
Subject:
Physics, Soft Matter / Biological Physics

A revision of Penrose’s theory of the three worlds is presented in this chapter.


No Ordinary Woman: The Life of Edith Penrose

Angela Penrose

Published in print:
2017
Published Online:
November 2017
ISBN:
9780198753940
eISBN:
9780191815720
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198753940.001.0001
Subject:
Business and Management, Business History, Strategy

Edith Penrose was a creative thinker, a distinguished economist, and an inspirational teacher who profoundly challenged the prevailing orthodoxy in several fields, including micro-economics, business ... More


Gödel’s Disjunction

Peter Koellner

in Gödel's Disjunction: The scope and limits of mathematical knowledge

Published in print:
2016
Published Online:
November 2016
ISBN:
9780198759591
eISBN:
9780191820373
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198759591.003.0007
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

Gödel’s disjunction asserts that either “the mind cannot be mechanized” or “there are absolutely undecidable statements.” Arguments are examined for and against each disjunct in the context of ... More


‘This Fascinating Horror’ (1914–1918)

James King

in Roland Penrose: The Life of a Surrealist

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.003.0002
Subject:
Art, Art History

This chapter details events in Roland Penrose's life from 1914–1918. In 1914, at the age of fourteen, Roland was sent to Leighton Park School near Reading, referred to at the time as ‘the Quaker ... More


A Heretic in Training (1919–1922)

James King

in Roland Penrose: The Life of a Surrealist

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.003.0003
Subject:
Art, Art History

This chapter details events in Roland Penrose's life from 1919 to 1922. On 18 January 1919, a mere ten days after returning to England from the war, Roland enrolled at Queen's College, Cambridge. ... More


Born Again (1922–1931)

James King

in Roland Penrose: The Life of a Surrealist

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.003.0004
Subject:
Art, Art History

This chapter details events in Roland Penrose's life from 1922 to 1931. Roland travelled to Paris in 1922. He visited museums, art galleries, the flea market in Saint-Eustache and the Jardin des ... More


Insoluble Questions (1932–1935)

James King

in Roland Penrose: The Life of a Surrealist

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.003.0005
Subject:
Art, Art History

This chapter details events in Roland Penrose's life from 1932 to 1935. In an attempt to sort out the problems in their marriage, Roland and Valentine travelled to India at the end of 1932, where ... More


‘Let’s Do Something’ (1935–1936)

James King

in Roland Penrose: The Life of a Surrealist

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.003.0006
Subject:
Art, Art History

This chapter details events in Roland Penrose's life from 1935 to 1936. In Paris, in June 1935, Roland and Paul Éluard chanced upon precocious, intense nineteen-year-old David Gascoyne, who had ... More


The Modern Colossus (1936–1938)

James King

in Roland Penrose: The Life of a Surrealist

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.003.0007
Subject:
Art, Art History

This chapter details events in Roland Penrose's life from 1936 to 1938. In July 1936, Paul Éluard pressed Roland and Valentine to join him at Mougins on the Riviera. Many other surrealists would be ... More


Aphrodite in Blue (1936–1938)

James King

in Roland Penrose: The Life of a Surrealist

Published in print:
2016
Published Online:
January 2018
ISBN:
9781474414500
eISBN:
9781474421874
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474414500.003.0008
Subject:
Art, Art History

This chapter details events in Roland Penrose's life from 1936 to 1938. In late 1936, Roland and Valentine went their separate ways. After Valentine left for India, Roland had brief affairs, but he ... More


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