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The Central Binomial Coefficient Revisited

Thomas Koshy

in Catalan Numbers with Applications

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.003.0003
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter continues to investigate the central binomial coefficient in much greater detail. Topics explained include Wallis' product, Lucas numbers, Fermat's little theorem, Carlitz's formula, ... More


Introduction

Stephen J. Blundell and Katherine M. Blundell

in Concepts in Thermal Physics

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199562091
eISBN:
9780191718236
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199562091.003.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This introductory chapter explores the concept of large numbers, showing why large numbers appear in thermal physics and explaining how to handle them. Large numbers arise in thermal physics because ... More


Bannockburn: The Scottish War and the British Isles 1307-1323

Michael Brown

Published in print:
2008
Published Online:
September 2012
ISBN:
9780748633326
eISBN:
9780748672127
Item type:
book
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748633326.001.0001
Subject:
History, British and Irish Medieval History

The battle of Bannockburn, fought on the fields south of Stirling at midsummer 1314, is the best-known event in the history of Medieval Scotland. It was a unique event. The clash of two armies, each ... More


The Battle and its Story

Michael Brown

in Bannockburn: The Scottish War and the British Isles 1307-1323

Published in print:
2008
Published Online:
September 2012
ISBN:
9780748633326
eISBN:
9780748672127
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748633326.003.0002
Subject:
History, British and Irish Medieval History

Two armies numbering in total tens of thousands of men were camped in the lands south of Stirling in central Scotland. The battle that was about to break was the first full-scale clash between the ... More


The Campaign (October 1313–Midsummer 1314)

Michael Brown

in Bannockburn: The Scottish War and the British Isles 1307-1323

Published in print:
2008
Published Online:
September 2012
ISBN:
9780748633326
eISBN:
9780748672127
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748633326.003.0006
Subject:
History, British and Irish Medieval History

The Scottish wars had seen no clash on the scale of Bannockburn since the battle of Falkirk sixteen years earlier. While many leaders, like Edward I, engaged aggressive campaigns which exhibited ... More


Two Kinds of War

G.W.S. Barrow

in Robert Bruce: And the Community of the Realm of Scotland

Published in print:
2005
Published Online:
September 2012
ISBN:
9780748620227
eISBN:
9780748672189
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748620227.003.0005
Subject:
History, European Medieval History

Edward's response to these developments was to besiege and sack Berwick in the spring of 1296, defeat the Scottish army at Dunbar and lead his invasion force as far north as Elgin, removing ... More


The King over the Water

G.W.S. Barrow

in Robert Bruce: And the Community of the Realm of Scotland

Published in print:
2005
Published Online:
September 2012
ISBN:
9780748620227
eISBN:
9780748672189
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748620227.003.0007
Subject:
History, European Medieval History

At the turn of 1299-1300 Robert Bruce may have tried to make a bid for pre-eminent leadership in Scotland; the possibility of the restoration of Balliol and hostility to the Comyns would have ... More


The Turn of the Tide

G.W.S. Barrow

in Robert Bruce: And the Community of the Realm of Scotland

Published in print:
2005
Published Online:
September 2012
ISBN:
9780748620227
eISBN:
9780748672189
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748620227.003.0011
Subject:
History, European Medieval History

This chapter traces events in Scotland 1309-14. For most of this period Lothian and the Merse with their castles of Edinburgh, Roxburgh and Berwick were in English hands. Bruce forced the inhabitants ... More


Bannockburn

G.W.S. Barrow

in Robert Bruce: And the Community of the Realm of Scotland

Published in print:
2005
Published Online:
September 2012
ISBN:
9780748620227
eISBN:
9780748672189
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748620227.003.0012
Subject:
History, European Medieval History

To relieve Stirling and to ‘suppress the wicked rebellion of Robert Bruce’, Edward II planned a major campaign with forces of perhaps 15000 infantry and 2-3000 cavalry; against this, the forces ... More


Sequels to the Shanghai Incident

William Reynolds Braisted

in Diplomats in Blue: U.S. Naval Officers in China, 1922-1933

Published in print:
2009
Published Online:
September 2011
ISBN:
9780813032887
eISBN:
9780813038223
Item type:
chapter
Publisher:
University Press of Florida
DOI:
10.5744/florida/9780813032887.003.0020
Subject:
History, Military History

This chapter examines the non-violent events that followed the Shanghai Incident. After the incident, there were numerous post-mortems, explanations, and apologies by which the various parties at ... More


The ‘Unorganised’ Emigrationists

Roy Parker

in Uprooted: The Shipment of Poor Children to Canada, 1867-1917

Published in print:
2010
Published Online:
March 2012
ISBN:
9781847420145
eISBN:
9781447304142
Item type:
chapter
Publisher:
Policy Press
DOI:
10.1332/policypress/9781847420145.003.0007
Subject:
Social Work, Children and Families

Most of the child-emigration ventures eventually became organisations in the sense that their conduct was subject to a measure of control by a management committee, their finances were scrutinised, ... More


Más ven cuatro ojos que dos: Gayangos and Anglo-American Hispanism

Claudia Heide

in Pascual de Gayangos: A Nineteenth-Century Spanish Arabist

Published in print:
2008
Published Online:
March 2012
ISBN:
9780748635474
eISBN:
9780748653140
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748635474.003.0007
Subject:
Society and Culture, Middle Eastern Studies

Gayangos was a dominant name seen in many of the papers and books of a great number of British and American writers. He was known for his generosity and his knowledge of Spanish culture. His death in ... More


Principal Stirling's Regime: Family and Politics, 1701–1725

Roger L. Emerson

in Academic Patronage in the Scottish Enlightenment: Glasgow, Edinburgh and St Andrews Universities

Published in print:
2008
Published Online:
March 2012
ISBN:
9780748625963
eISBN:
9780748653652
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748625963.003.0003
Subject:
Society and Culture, Scottish Studies

This chapter discusses the political environment of Stirling's early years as principal which was much like that of the 1690s — no political faction was dominant and the kaleidoscope of politics ... More


Addison Silar

Michael B. Bakan

in Speaking for Ourselves: Conversations on Life, Music, and Autism

Published in print:
2018
Published Online:
July 2018
ISBN:
9780190855833
eISBN:
9780190855864
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190855833.003.0011
Subject:
Music, Psychology of Music

Life can be difficult for teenager Addison Silar, but music makes it easier. Addison copes with Asperger’s syndrome, bipolar disorder, and ADHD, not to mention being the biggest kid in virtually any ... More


Practical heat engines

Andrew M. Steane

in Thermodynamics: A complete undergraduate course

Published in print:
2016
Published Online:
January 2017
ISBN:
9780198788560
eISBN:
9780191830426
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198788560.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Heat engines used for power generation and other purposes are introduced. The Stirling engine and the internal combustion engine are described, and the Otto cycle explained. The maximum work theorem ... More


Georgian Oxford

John Fauvel

in Oxford Figures: Eight Centuries of the Mathematical Sciences

Published in print:
2013
Published Online:
January 2014
ISBN:
9780199681976
eISBN:
9780191761737
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199681976.003.0009
Subject:
Mathematics, History of Mathematics

This chapter outlines the movement from mathematics towards astronomy by the Savilian Professors of Geometry during the 18th century. We also discuss the student experience towards the end of the ... More


The origins of modern combinatorics

EBERHARD KNOBLOCH

in Combinatorics: Ancient and Modern

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199656592
eISBN:
9780191748059
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199656592.003.0007
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics, History of Mathematics

In 1654 Fermat and Pascal used combinatorial and other means to solve theoretical questions arising from games of chance; indeed, Pascal’s treatise on the arithmetical triangle might be called the ... More


The Voyage of the Stirling

Wayne Franklin

in James Fenimore Cooper: The Early Years

Published in print:
2007
Published Online:
October 2013
ISBN:
9780300108057
eISBN:
9780300135008
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300108057.003.0003
Subject:
Literature, American, 19th Century Literature

This chapter examines James Fenimore Cooper's ocean voyage aboard the Stirling. It explains that Stirling left New York in October 1806 and some of those with Cooper include Captain John Johnston and ... More


Mathematics supplements

Ta-Pei Cheng

in Einstein's Physics: Atoms, Quanta, and Relativity - Derived, Explained, and Appraised

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199669912
eISBN:
9780191744488
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199669912.003.0018
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Differential and integral vector calculus is reviewed so that a reader can understand the connection between Maxwell’s equations written as integral relations and as differential equations (as ... More


Electrical Power Generation: Renewables—Solar and Wind

Peter Rez

in The Simple Physics of Energy Use

Published in print:
2017
Published Online:
December 2017
ISBN:
9780198802297
eISBN:
9780191840708
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198802297.003.0007
Subject:
Physics, Geophysics, Atmospheric and Environmental Physics

Solar and wind power have low power densities. Large areas will be required to generate the electrical energy that we are using right now. These energy sources are intermittent, although sunshine is ... More


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