## Applications to Financial Series

*Christian Gouriéroux and Alain Monfort*

### in Simulation-based Econometric Methods

- Published in print:
- 1997
- Published Online:
- November 2003
- ISBN:
- 9780198774754
- eISBN:
- 9780191596339
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198774753.003.0006
- Subject:
- Economics and Finance, Econometrics

Applications to estimation of Stochastic Differential Equations, Stochastic Volatility Models, and Factor Models are considered. The methods used are Indirect Inference, Simulated Moments (based on ... More

## Transcendental‐Phenomenological Idealism: Husserl and Weyl

*Thomas Ryckman*

### in The Reign of Relativity: Philosophy in Physics 1915-1925

- Published in print:
- 2005
- Published Online:
- April 2005
- ISBN:
- 9780195177176
- eISBN:
- 9780199835324
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195177177.003.0005
- Subject:
- Philosophy, Philosophy of Science

Weyl’s major contributions in the spring of 1918 to the general theory of relativity and to constructive analysis reveal the influence of Husserl’s transcendental-phenomenological idealism. The known ... More

## Weyl's “Purely Infinitesimal” Constitution of Field Physics

*Thomas Ryckman*

### in The Reign of Relativity: Philosophy in Physics 1915-1925

- Published in print:
- 2005
- Published Online:
- April 2005
- ISBN:
- 9780195177176
- eISBN:
- 9780199835324
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0195177177.003.0006
- Subject:
- Philosophy, Philosophy of Science

It is shown how Weyl intertwined phenomenological analysis and mathematical construction in building the foundation of his “pure infinitesimal geometry” underlying gravitation and electromagnetism. ... More

## Before Voltaire: The French Origins of "Newtonian" Mechanics, 1680-1715

*J.B. Shank*

- Published in print:
- 2018
- Published Online:
- May 2019
- ISBN:
- 9780226509297
- eISBN:
- 9780226509327
- Item type:
- book

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226509327.001.0001
- Subject:
- History, History of Science, Technology, and Medicine

A pervasive understanding holds that the foundation of calculus-based mathematical physics was laid by Issac Newton in his epochal treatise Philosophiae naturalis principia mathematica of 1687. In ... More

## Mathematics and Physics: Strategies of Assimilation

*Alasdair Urquhart*

### in The Philosophy of Mathematical Practice

- Published in print:
- 2008
- Published Online:
- February 2010
- ISBN:
- 9780199296453
- eISBN:
- 9780191711961
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296453.003.0017
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

The main topic of this chapter is the problem posed to the mathematical community by the non-rigorous methods used by physicists in investigating mathematical problems. These methods are often highly ... More

## The Task, the Moment, and the Messianic Future

*Daniel H. Weiss*

### in Paradox and the Prophets: Hermann Cohen and the Indirect Communication of Religion

- Published in print:
- 2012
- Published Online:
- September 2012
- ISBN:
- 9780199895908
- eISBN:
- 9780199949854
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199895908.003.0007
- Subject:
- Religion, Judaism

This chapter focuses on Cohen’s designation of religious ideas as “infinite tasks.” While the element of “infinity” could make it appear as though the task can only be approached asymptotically, it ... More

## Long Decimals

*W. D. Hart*

### in Future Pasts: The Analytic Tradition in Twentieth Century Philosophy

- Published in print:
- 2001
- Published Online:
- November 2003
- ISBN:
- 9780195139167
- eISBN:
- 9780199833214
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/019513916X.003.0018
- Subject:
- Philosophy, History of Philosophy

Real numbers have decimal expansions. If we add to the first order theory of real numbers the supposition that there is a natural number different from, and so greater than, each (standard) natural ... More

## Zeno's Paradox of Measure

*Brian Skyrms*

### in From Zeno to Arbitrage: Essays on Quantity, Coherence, and Induction

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199652808
- eISBN:
- 9780191745829
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199652808.003.0002
- Subject:
- Philosophy, Philosophy of Science, Metaphysics/Epistemology

Zeno’s paradox of measure is less well known that his other paradoxes, but it stands at the center of them. The paradoxes of motion can all be seen as blocking various escape routes from the basic ... More

## Strict Coherence, Sigma Coherence, and the Metaphysics of Quantity

*Brian Skyrms*

### in From Zeno to Arbitrage: Essays on Quantity, Coherence, and Induction

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199652808
- eISBN:
- 9780191745829
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199652808.003.0005
- Subject:
- Philosophy, Philosophy of Science, Metaphysics/Epistemology

Probability is a quantity. Do all events have a probability? Are there real possibilities that have zero probability? Do we have countable additivity? The standard theory of probability, due to ... More

## The New Infinitesimal Calculus and the Leibnizian Origins of Analytical Mechanics

*J.B. Shank*

### in Before Voltaire: The French Origins of "Newtonian" Mechanics, 1680-1715

- Published in print:
- 2018
- Published Online:
- May 2019
- ISBN:
- 9780226509297
- eISBN:
- 9780226509327
- Item type:
- chapter

- Publisher:
- University of Chicago Press
- DOI:
- 10.7208/chicago/9780226509327.003.0005
- Subject:
- History, History of Science, Technology, and Medicine

This chapter looks at the Leibnizian sources for analytical mechanics by first clarifying the relationship of the calculus to Newton's work in the Principia, and then to the history of analytical ... More

## A Leibnizian World

*Alex Tissandier*

### in Affirming Divergence: Deleuze's Reading of Leibniz

- Published in print:
- 2018
- Published Online:
- May 2020
- ISBN:
- 9781474417747
- eISBN:
- 9781474449748
- Item type:
- chapter

- Publisher:
- Edinburgh University Press
- DOI:
- 10.3366/edinburgh/9781474417747.003.0005
- Subject:
- Philosophy, General

This chapter uses concepts from Leibniz’s philosophy to provide an account of the metaphysical system Deleuze constructs in Difference and Repetition and Logic of Sense. This account has four key ... More

## Spinoza, Leibniz or a World ‘less exquisitely organized’

*Anthony Cordingley*

### in Samuel Beckett's How It Is: Philosophy in Translation

- Published in print:
- 2018
- Published Online:
- May 2019
- ISBN:
- 9781474440608
- eISBN:
- 9781474453868
- Item type:
- chapter

- Publisher:
- Edinburgh University Press
- DOI:
- 10.3366/edinburgh/9781474440608.003.0008
- Subject:
- Literature, 20th-century Literature and Modernism

This chapter concludes the investigation by detailing the way that Beckett’s narrator/narrator weighs up a philosophy of imminence (Spinoza) against a philosophy of transcendence (Leibniz). A new ... More

## The History of Continua: Philosophical and Mathematical Perspectives

*Stewart Shapiro and Geoffrey Hellman (eds)*

- Published in print:
- 2020
- Published Online:
- December 2020
- ISBN:
- 9780198809647
- eISBN:
- 9780191846915
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198809647.001.0001
- Subject:
- Philosophy, Metaphysics/Epistemology

Mathematical and philosophical thought about continuity has changed considerably over the ages. Aristotle insisted that continuous substances are not composed of points, and that they can only be ... More

## Analytical Tools for Brownian Motion

*Gopinath Kallianpur and P. Sundar*

### in Stochastic Analysis and Diffusion Processes

- Published in print:
- 2014
- Published Online:
- April 2014
- ISBN:
- 9780199657063
- eISBN:
- 9780191781759
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199657063.003.0004
- Subject:
- Mathematics, Probability / Statistics, Applied Mathematics

The semigroup associated with a Brownian motion is studied in this chapter. The infinitesimal generator for this semigroup and its domain are identified. The heat equation is shown to be the partial ... More

## The Hamiltonian equations of motion. Poisson brackets

*Gleb L. Kotkin and Valeriy G. Serbo*

### in Exploring Classical Mechanics: A Collection of 350+ Solved Problems for Students, Lecturers, and Researchers - Second Revised and Enlarged English Edition

- Published in print:
- 2020
- Published Online:
- October 2020
- ISBN:
- 9780198853787
- eISBN:
- 9780191888236
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198853787.003.0010
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter addresses invariance of the Hamiltonian function under a given transformation and the conservation law, the Hamiltonian function for the beam of light, the motion of a charged particle ... More

## Canonical transformations

*Gleb L. Kotkin and Valeriy G. Serbo*

### in Exploring Classical Mechanics: A Collection of 350+ Solved Problems for Students, Lecturers, and Researchers - Second Revised and Enlarged English Edition

- Published in print:
- 2020
- Published Online:
- October 2020
- ISBN:
- 9780198853787
- eISBN:
- 9780191888236
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198853787.003.0011
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter addresses the canonical transformation defined by the given generating function, the rotation in the phase space as a canonical transformation, and themovement of the system as a ... More

## The Hamiltonian equations of motion. Poisson brackets

*Gleb L. Kotkin and Valeriy G. Serbo*

### in Exploring Classical Mechanics: A Collection of 350+ Solved Problems for Students, Lecturers, and Researchers - Second Revised and Enlarged English Edition

- Published in print:
- 2020
- Published Online:
- October 2020
- ISBN:
- 9780198853787
- eISBN:
- 9780191888236
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198853787.003.0023
- Subject:
- Physics, Condensed Matter Physics / Materials

This chapter addresses invariance of the Hamiltonian function under a given transformation and the conservation law, the Hamiltonian function for the beam of light, the motion of a charged particle ... More

## Complex Traits in Natural Populations

*Daniel L. Hartl*

### in A Primer of Population Genetics and Genomics

- Published in print:
- 2020
- Published Online:
- August 2020
- ISBN:
- 9780198862291
- eISBN:
- 9780191895074
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198862291.003.0009
- Subject:
- Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Evolutionary Biology / Genetics

This chapter could as well be titled “Population Genomics,” although many aspects of population genomics are integrated throughout the other chapters. It includes estimates of mutational variance and ... More

## Plasticity and Viscoplasticity

*Shiro Kobayashi, Soo-Ik Oh, and Taylan Altan*

### in Metal Forming and the Finite-Element Method

- Published in print:
- 1989
- Published Online:
- November 2020
- ISBN:
- 9780195044027
- eISBN:
- 9780197560006
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195044027.003.0007
- Subject:
- Chemistry, Materials Chemistry

The theory of plasticity describes the mechanics of deformation in plastically deforming solids, and, as applied to metals and alloys, it is based on experimental ... More

## Lie groups and Lie algebras

*Adam M. Bincer*

### in Lie Groups and Lie Algebras: A Physicist's Perspective

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780199662920
- eISBN:
- 9780191745492
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199662920.003.0002
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Lie groups and Lie algebras are defined. SU(2), the group whose elements are 2x2 unitary unimodular matrices is described providing an example of a 3-dimensional Lie group. Infinitesimal generators ... More