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A Catalan Triangle

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/9780195334548.003.0014
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter investigates an interesting triangular array that contains Catalan numbers and Cayley numbers.


Statistics and Informatics in Molecular Cancer Research

Carsten Wiuf and Claus L. Andersen (eds)

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199532872
eISBN:
9780191714467
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199532872.001.0001
Subject:
Mathematics, Probability / Statistics, Biostatistics

This book discusses novel advances in informatics and statistics in molecular cancer research. Through eight chapters it discusses specific topics in cancer research, talks about how the topics give ... More


The Ubiquity of Catalan Numbers I

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/9780195334548.003.0006
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter presents a number of occurrences of Catalan numbers in a number of quite unexpected places and their relationships among them. They include mountain ranges (or Dyck paths), noncrossing ... More


The Way We Imagine1

MARK TURNER

in Imaginative Minds

Published in print:
2007
Published Online:
January 2012
ISBN:
9780197264195
eISBN:
9780191734540
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197264195.003.0010
Subject:
Psychology, Cognitive Psychology

This chapter focuses on the engine of human imagination —the conceptual integration in which conceptual arrays are blended to form compressed, memorable conceptual packets, agreeable to human ... More


Introduction and basic concepts

W. K. Estes

in Classification and Cognition

Published in print:
1994
Published Online:
January 2008
ISBN:
9780195073355
eISBN:
9780199867899
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195073355.003.0001
Subject:
Psychology, Cognitive Psychology

This introductory chapter begins with a discussion of classification and cognition, focusing on the terms concepts and categories, active and passive approaches to categorization, and categorization ... More


Categorization and recognition

W. K. Estes

in Classification and Cognition

Published in print:
1994
Published Online:
January 2008
ISBN:
9780195073355
eISBN:
9780199867899
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195073355.003.0007
Subject:
Psychology, Cognitive Psychology

This chapter broadens the scope of theory developed in Chapters 1-6 to include many of the phenomena traditionally treated in memory research and theory. It begins with what is believed to be the ... More


Categorization and cognition: reprise

W. K. Estes

in Classification and Cognition

Published in print:
1994
Published Online:
January 2008
ISBN:
9780195073355
eISBN:
9780199867899
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195073355.003.0008
Subject:
Psychology, Cognitive Psychology

This chapter takes a second look at some pivotal, often controversial, concepts and distinctions that were taken up briefly in earlier chapters. Topics covered include the basis of classification in ... More


Copy number variation in health and susceptibility to disease

Julian C. Knight

in Human Genetic Diversity: Functional Consequences for Health and Disease

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199227693
eISBN:
9780191711015
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227693.003.0004
Subject:
Biology, Evolutionary Biology / Genetics, Disease Ecology / Epidemiology

In this chapter submicroscopic structural variation is described with a particular focus on copy number variation. There is a growing body of evidence to show that copy number variation is a common ... More


Submicroscopic structural variation and genomic disorders

Julian C. Knight

in Human Genetic Diversity: Functional Consequences for Health and Disease

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199227693
eISBN:
9780191711015
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199227693.003.0005
Subject:
Biology, Evolutionary Biology / Genetics, Disease Ecology / Epidemiology

In this chapter the basis and nature of genomic disorders are described with examples including DiGeorge Syndrome, Williams-Beuren syndrome, Charcot Marie Tooth disease, Prader-Willi, and Angelman ... More


Bioinformatic approaches to the analysis of alternative splicing variants in cancer biology

Lue Ping Zhao, Jessica Andriesen, and Wenhong Fan

in Statistics and Informatics in Molecular Cancer Research

Published in print:
2009
Published Online:
September 2009
ISBN:
9780199532872
eISBN:
9780191714467
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199532872.003.0008
Subject:
Mathematics, Probability / Statistics, Biostatistics

This chapter discusses the use of bioinformatic methods to analyze alternative splicing and investigate its role in cancer biology. A brief introduction to alternative splicing is followed by a ... More


Observed Brain Dynamics

Partha Mitra and Hemant Bokil

Published in print:
2007
Published Online:
May 2009
ISBN:
9780195178081
eISBN:
9780199864829
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195178081.001.0001
Subject:
Neuroscience, Techniques, Molecular and Cellular Systems

The biomedical sciences have recently undergone revolutionary change, due to the ability to digitize and store large data sets. In neuroscience, the data sources include measurements of neural ... More


CLTs for Dependent Processes

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
1994
Published Online:
November 2003
ISBN:
9780198774037
eISBN:
9780191596117
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774036.003.0024
Subject:
Economics and Finance, Econometrics

This chapter deals with the central limit theorem (CLT) for dependent processes. As with the law of large numbers, the focus is on near‐epoch dependent and mixing processes, and array versions of the ... More


Limits and Continuity

James Davidson

in Stochastic Limit Theory: An Introduction for Econometricians

Published in print:
1994
Published Online:
November 2003
ISBN:
9780198774037
eISBN:
9780191596117
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198774036.003.0002
Subject:
Economics and Finance, Econometrics

The basic ideas of real analysis are covered, including Euclidean distance, sets of the real line, coverings, compactness, real sequences, Cauchy sequences, limits, and cluster points. The chapter ... More


Impacts of Forest Management on Amphibians

Rochelle B. Renken

in Amphibian Declines: The Conservation Status of United States Species

Published in print:
2005
Published Online:
March 2012
ISBN:
9780520235922
eISBN:
9780520929432
Item type:
chapter
Publisher:
University of California Press
DOI:
10.1525/california/9780520235922.003.0048
Subject:
Biology, Animal Biology

Researchers with the Missouri Department of Conservation, the Missouri Department of Natural Resources, the U.S. Forest Service, and cooperating universities (University of Missouri-Columbia, ... More


Grouping and Early Visual Processing in Avian Vision

Robert G. Cook and Carl Erick Hagmann

in How Animals See the World: Comparative Behavior, Biology, and Evolution of Vision

Published in print:
2012
Published Online:
May 2012
ISBN:
9780195334654
eISBN:
9780199933167
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334654.003.0004
Subject:
Psychology, Cognitive Neuroscience, Cognitive Psychology

This chapter examines early visual processing in birds revealed by the analysis of multi-element textured arrays. Pigeons, and presumably most other species of birds, share many common properties ... More


Arrays

Mark D. LeBlanc and Betsey Dexter Dyer

in Perl for Exploring DNA

Published in print:
2007
Published Online:
April 2010
ISBN:
9780195305890
eISBN:
9780199773862
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195305890.003.09
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter is about scaling up. It introduces a list-like data structure used to collect and manage large numbers of DNA files and sequences for analysis. Any analysis that can be done on a single ... More


Hash Tables

Mark D. LeBlanc and Betsey Dexter Dyer

in Perl for Exploring DNA

Published in print:
2007
Published Online:
April 2010
ISBN:
9780195305890
eISBN:
9780199773862
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195305890.003.10
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter introduces how data can be referenced by key words to collect and manage large collections of sequences and their related information in the versatile, table-like data structure of a ... More


Neuronal Activity in Motor Cortex and Related Areas

Lee E. Miller and Nicholas Hatsopoulos

in Brain–Computer Interfaces: Principles and Practice

Published in print:
2012
Published Online:
May 2012
ISBN:
9780195388855
eISBN:
9780199932689
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195388855.003.0002
Subject:
Neuroscience, Techniques

This chapter is organized into six sections. The first four discuss the anatomy and functional roles of the brain areas that are most relevant to the development of brain-computer interface ... More


Acquiring Brain Signals from within the Brain

Kevin J. Otto, Kip A. Ludwig, and Daryl R. Kipke

in Brain–Computer Interfaces: Principles and Practice

Published in print:
2012
Published Online:
May 2012
ISBN:
9780195388855
eISBN:
9780199932689
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195388855.003.0005
Subject:
Neuroscience, Techniques

This chapter describes the current state of intracortical neural interface technologies for brain-computer interface applications. The first section provides an overview of the various intracortical ... More


The Classical Charged Oscillator and the Dipole Antenna

Weiner John and Frederico Nunes

in Light-Matter Interaction: Physics and Engineering at the Nanoscale

Published in print:
2012
Published Online:
December 2013
ISBN:
9780198567653
eISBN:
9780191775147
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567653.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

This complement treats a point-dipole charged oscillator as a proto-antenna and expresses the angular distribution of the radiated power. A single half-wave antenna is constructed from a linear ... More


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