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Hertz on the Hamilton formalism

JESPER LÜTZEN

in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.003.0023
Subject:
Physics, History of Physics

In the introduction to his book Principles of Mechanics, Heinrich Hertz emphasised that one of the advantages of his geometric formulation of his mechanics is that it throws a bright light upon ... More


The Federalists and the Uses of Fiscal Powers

Max. M Edling

in A Revolution in Favor of Government: Origins of the U.S. Constitution and the Making of the American State

Published in print:
2003
Published Online:
January 2005
ISBN:
9780195148701
eISBN:
9780199835096
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195148703.003.0015
Subject:
Political Science, American Politics

Offers brief sketches of the institutionalization of the military and fiscal powers granted by the US Constitution, and of the uses made of them by the Federalists in the 1790s. Gives an outline of ... More


State and People the American Revolution

David Armstrong

in Revolution and World Order: The Revolutionary State in International Society

Published in print:
1993
Published Online:
November 2003
ISBN:
9780198275282
eISBN:
9780191598739
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198275285.003.0003
Subject:
Political Science, International Relations and Politics

While there are important differences between the American Revolution and other revolutions, there are also some striking similarities. The basic ideas of the American outlook on international ... More


Kinship

Ken Binmore

in Natural Justice

Published in print:
2005
Published Online:
January 2007
ISBN:
9780195178111
eISBN:
9780199783670
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195178111.003.0007
Subject:
Economics and Finance, Microeconomics

When do we care for others as we care for ourselves? William Hamilton showed that we should be expected to care for our family members in proportion to our degree of relationship to them. Such ... More


Integral principles

JESPER LÜTZEN

in Mechanistic Images in Geometric Form: Heinrich Hertz's 'Principles of Mechanics'

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567370
eISBN:
9780191717925
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567370.003.0021
Subject:
Physics, History of Physics

In his book Principles of Mechanics, Heinrich Hertz treats integral principles in three parts. First, he discusses the properties of geodesics and their relation to straightest paths in a purely ... More


Hamilton’s Principle

Oliver Johns

in Analytical Mechanics for Relativity and Quantum Mechanics

Published in print:
2005
Published Online:
January 2010
ISBN:
9780198567264
eISBN:
9780191717987
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567264.003.0006
Subject:
Physics, Atomic, Laser, and Optical Physics

The general calculus of variations discussed in the previous chapter may be used to derive variational principles in mechanics. Two different, but closely related, variational principles are ... More


On the Stochastic Burgers Equation and Some Applications to Turbulence and Astrophysics

A.D. Neate and A. Truman

in Analysis and Stochastics of Growth Processes and Interface Models

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199239252
eISBN:
9780191716911
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199239252.003.0013
Subject:
Mathematics, Probability / Statistics, Analysis

This chapter summarises a selection of results on the inviscid limit of the stochastic Burgers equation emphasising geometric properties of the caustic, Maxwell set and Hamilton-Jacobi level surfaces ... More


Social Behavior and Evolutionary Thought

James A.R. Marshall

in Social Evolution and Inclusive Fitness Theory: An Introduction

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691161563
eISBN:
9781400866564
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691161563.003.0001
Subject:
Biology, Evolutionary Biology / Genetics

This book demonstrates the generality of inclusive fitness theory, with particular emphasis on its fundamental evolutionary logic. It presents the basic mathematical theory of natural selection and ... More


Inclusive Fitness and Hamilton’s Rule

James A.R. Marshall

in Social Evolution and Inclusive Fitness Theory: An Introduction

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691161563
eISBN:
9781400866564
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691161563.003.0004
Subject:
Biology, Evolutionary Biology / Genetics

This chapter examines how the logic of inclusive fitness theory can be mathematically formalized using the Price equation, and how that formalization can be used to derive Hamilton's rule in its ... More


Nonadditive Interactions and Hamilton’s Rule

James A.R. Marshall

in Social Evolution and Inclusive Fitness Theory: An Introduction

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691161563
eISBN:
9781400866564
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691161563.003.0005
Subject:
Biology, Evolutionary Biology / Genetics

This chapter examines what happens in nonadditive interactions when such interactions take place between relatives, and how Hamilton's rule can be extended in two different ways to accommodate such ... More


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