## On Advaita

*Srinivasa Rao*

### in Advaita: A Contemporary Critique

- Published in print:
- 2011
- Published Online:
- September 2012
- ISBN:
- 9780198079811
- eISBN:
- 9780199081707
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198079811.003.0019
- Subject:
- Philosophy, General

The term Advaita which literally means non-duality, is a denial only of the ultimacy of duality and difference. It only means that there is no difference which is so radical, ultimate and fundamental ... More

## Advaita: A Contemporary Critique

*Srinivasa Rao*

- Published in print:
- 2011
- Published Online:
- September 2012
- ISBN:
- 9780198079811
- eISBN:
- 9780199081707
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198079811.001.0001
- Subject:
- Philosophy, General

The book proposes a contemporary framework for critiquing Advaita and formulating its basic thesis in a more logical and convincing way. Any proper theory in philosophy and science has to follow from ... More

## On Ignorance

*Srinivasa Rao*

### in Advaita: A Contemporary Critique

- Published in print:
- 2011
- Published Online:
- September 2012
- ISBN:
- 9780198079811
- eISBN:
- 9780199081707
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198079811.003.0008
- Subject:
- Philosophy, General

No one believes that he does not know himself or the world around him because everyone is familiar with both these. Therefore the question naturally arises as to what exactly is meant by the ... More

## Seeing Differently

*Srinivasa Rao*

### in Advaita: A Contemporary Critique

- Published in print:
- 2011
- Published Online:
- September 2012
- ISBN:
- 9780198079811
- eISBN:
- 9780199081707
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198079811.003.0011
- Subject:
- Philosophy, General

If our perceptions are different, the objects we perceive in them are also not necessarily different because the very same object may come to be perceived differently, for example, a rope as a snake. ... More

## The Nature of the World

*Srinivasa Rao*

### in Advaita: A Contemporary Critique

- Published in print:
- 2011
- Published Online:
- September 2012
- ISBN:
- 9780198079811
- eISBN:
- 9780199081707
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198079811.003.0014
- Subject:
- Philosophy, General

The world is described in Advaita as anātman which is sadasadvilaksana in nature. But as a positive entity different in its basic nature from the Self, it leads to a logically unavoidable dualism ... More

## Baudelaire's Prose Poems: The Practice and Politics of Irony

*Sonya Stephens*

- Published in print:
- 1999
- Published Online:
- October 2011
- ISBN:
- 9780198158776
- eISBN:
- 9780191673351
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198158776.001.0001
- Subject:
- Literature, European Literature, Poetry

The aim of this book is to offer a new reading of Baudelaire's Petits Poèmes en Prose that demonstrates the significance of ironic otherness for the theory and functioning of the work and for the ... More

## Derived Categories of Coherent Sheaves

*D. Huybrechts*

### in Fourier-Mukai Transforms in Algebraic Geometry

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199296866
- eISBN:
- 9780191711329
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296866.003.0003
- Subject:
- Mathematics, Geometry / Topology

The discussion of the previous chapter is applied to the derived category of the abelian category of coherent sheaves. The Serre functor is introduced, and particular spanning classes are ... More

## Duality

*Ben Brubaker, Daniel Bump, and Solomon Friedberg*

### in Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory (AM-175)

- Published in print:
- 2011
- Published Online:
- October 2017
- ISBN:
- 9780691150659
- eISBN:
- 9781400838998
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691150659.003.0003
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter shows that the boxing and circling decorations of the BZL patterns are in a sense dual to each other. The circling and boxing rules seem quite different from each other, but they are ... More

## Results of Goursat-Kolchin-Ribet Type

*Nicholas M. Katz*

### in Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms (AM-180)

- Published in print:
- 2012
- Published Online:
- October 2017
- ISBN:
- 9780691153308
- eISBN:
- 9781400842704
- Item type:
- chapter

- Publisher:
- Princeton University Press
- DOI:
- 10.23943/princeton/9780691153308.003.0014
- Subject:
- Mathematics, Number Theory

This chapter takes up the proofs of Theorems 13.1–13.5. Suppose we are given some number r ≤ 2 of objects N₁; N₂, Nᵣ in Garith of some common “dimension” d ≤ 1. Suppose they are all ι-pure of weight ... More

## 1522–1526: Unrest

*Gregory B. Graybill*

### in Evangelical Free Will: Phillipp Melanchthon's Doctrinal Journey on the Origins of Faith

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199589487
- eISBN:
- 9780191594588
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199589487.003.0005
- Subject:
- Religion, Church History

The Wittenberg Unrest of 1521–2 caused Melanchthon to emphasize civil freedom, although he still maintained the spiritual bondage of the will. This new emphasis occurred in tandem with the ... More

## THE PARTIAL ORDER OF GRAPHS AND HOMOMORPHISMS

*Pavol Hell and Jaroslav Nešetřil*

### in Graphs and Homomorphisms

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198528173
- eISBN:
- 9780191713644
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528173.003.0003
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter considers the order homomorphisms induce on the set of all cores; this order is rich enough to represent all countable partial orders. Antichains in the homomorphism order are discussed, ... More

## DUALITY

*Steve Awodey*

### in Category Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568612
- eISBN:
- 9780191717567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568612.003.0003
- Subject:
- Mathematics, Algebra

Examples of definitions and statements which exhibit a kind of ‘duality’, such as initial and terminal object and epimorphisms and monomorphisms have been shown. This chapter now considers this ... More

## FUNCTORS AND NATURALITY

*Steve Awodey*

### in Category Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568612
- eISBN:
- 9780191717567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568612.003.0007
- Subject:
- Mathematics, Algebra

This chapter develops a general theory for functors. Topics discussed include category of categories, representable structure, stone duality, naturality, examples of natural transformations, ... More

## Fighting It Out

*Ken Binmore*

### in Playing for Real: Game Theory

- Published in print:
- 2007
- Published Online:
- May 2007
- ISBN:
- 9780195300574
- eISBN:
- 9780199783748
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195300574.003.0007
- Subject:
- Economics and Finance, Microeconomics

This chapter describes the theory of two-person, zero-sum games invented by John Von Neumann in 1928. It begins with an application to the computation of economic shadow prices. It shows that a ... More

## Operator spaces

*David P. Blecher and Christian Le Merdy*

### in Operator Algebras and Their Modules: An operator space approach

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198526599
- eISBN:
- 9780191712159
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526599.003.0001
- Subject:
- Mathematics, Pure Mathematics

This chapter presents some background results about operator spaces and establishes some notations which will be used throughout this book. It can serve as a mini-course on the basics of operator ... More

## Some ‘extremal theory’

*David P. Blecher and Christian Le Merdy*

### in Operator Algebras and Their Modules: An operator space approach

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198526599
- eISBN:
- 9780191712159
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198526599.003.0004
- Subject:
- Mathematics, Pure Mathematics

Many problems in functional analysis are best addressed via extreme points. Extreme points, particularly in the guise of the Choquet or Shilov boundaries, play a substantial role in the theory of ... More

## PHASE-TYPE QUEUES

*D. A. Bini, G. Latouche, and B. Meini*

### in Numerical Methods for Structured Markov Chains

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198527688
- eISBN:
- 9780191713286
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198527688.003.0005
- Subject:
- Mathematics, Numerical Analysis

In this chapter a series of processes with a variety of transition structures are considered and their analysis is presented in a unifying manner. These processes are grouped under the generic name ... More

## Linear Programming

*S. N. Afriat*

### in Logic of Choice and Economic Theory

- Published in print:
- 1987
- Published Online:
- November 2003
- ISBN:
- 9780198284611
- eISBN:
- 9780191595844
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0198284616.003.0026
- Subject:
- Economics and Finance, Microeconomics

This is the third of five chapters on optimal programming (the typical mathematics of economics) and related issues as related to choice making. It discusses linear programming, which might appear to ... More

## POINCARÉ DUALITY

*Andrew Ranicki*

### in Algebraic and Geometric Surgery

- Published in print:
- 2002
- Published Online:
- September 2007
- ISBN:
- 9780198509240
- eISBN:
- 9780191708725
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509240.003.0004
- Subject:
- Mathematics, Geometry / Topology

Poincaré duality is an isomorphism between the homology and cohomology of a manifold. The chapter introduces the basic duality and the universal Poincaré duality for non-simply-connected manifolds ... More

## POINCARÉ COMPLEXES AND SPHERICAL FIBRATIONS

*Andrew Ranicki*

### in Algebraic and Geometric Surgery

- Published in print:
- 2002
- Published Online:
- September 2007
- ISBN:
- 9780198509240
- eISBN:
- 9780191708725
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198509240.003.0009
- Subject:
- Mathematics, Geometry / Topology

A Poincaré complex is a space with Poincaré duality. Spherical fibrations are the homotopy theoretic analogues of vector bundles. The Spivak normal fibration is the homotopy theoretic analogue of the ... More