The 2x2 Matrix

The 2x2 Matrix

This book presents and discusses the numerous measures of test performance that can be derived from 2x2 tables.

Author: Andrew Larner

Publisher: Springer

ISBN: 3030749193

Category: Medical

Page: 164

View: 315

This book presents and discusses the numerous measures of test performance that can be derived from 2x2 tables. Worked examples based on pragmatic test accuracy study data are used in chapters to illustrate relevance to day-to-day clinical practice. Readers will gain a good understanding of sensitivity and specificity and predictive values along with many other parameters. The contents are highly structured and the use of worked examples facilitates understanding and interpretation. This book is a resource for clinicians in any discipline who are involved in the performance or assessment of test accuracy studies, and professionals in the disciplines of machine learning or informatics wishing to gain insight into clinical applications of 2x2 tables.
Categories: Medical

Hacker s Delight

Hacker s Delight

To do this , first treat the 8x8 - bit matrix as a 2x2 matrix whose elements are 4x4 - bit matrices , and transpose the 2x2 matrix .

Author: Henry S. Warren

Publisher: Addison-Wesley Professional

ISBN: 0201914654

Category: Computers

Page: 306

View: 439

A red-hot wake-up call? Reporter Macy Reynolds is the new "Yankee girl" in Tranquil Waters, Texas. Having recently inherited a large home and the local newspaper, she's also got a nasty case of cold shoulder from the town. Her only fan is the enormous dog she's just adopted--a dog who is about to land Macy into some deep (and incredibly hot) marine waters.... She was in red high heels and soaked to the skin, trying to shove the reluctant Great Dane into her car. And that was all it took for Lieutenant Blake Michaels to realize just how badly he wanted Macy. Still haunted by his past--and she by hers--neither of them is looking for anything serious. But there's something demanding and carnal in play. The only way to satisfy it? One hot little fling...
Categories: Computers

SUSY QM Via 2x2 Matrix Superpotential

SUSY QM Via 2x2 Matrix Superpotential

Only under the hermiticity condition one can to call W ( x ) of a matrix
superpotential . ... ( 5 ) W - 2 ( 2 ) where I denotes the 2x2 unit matrix and the pair
of SUSY potential V- ( x ) , is a 2x2 matrix potential which may be written in terms
of a 2x2 ...

Author: R. de Lima Rodrigues

Publisher:

ISBN: UOM:39015058242564

Category: Eigenfunctions

Page: 8

View: 865

Categories: Eigenfunctions

The Topology of the 2x2 Games

The Topology of the 2x2 Games

The second matrix in the row was produced by swapping the positions of the 1 and the 2 in matrix 1. The third is produced by swapping the 2 and the 3 in ...

Author: David Robinson

Publisher: Psychology Press

ISBN: 0415336090

Category: Business & Economics

Page: 179

View: 815

Game theory has implications for all the social sciences and beyond. It now provides the theoretical basis for almost all teaching in economics, and 2x2 games provide the very basis of game theory. Here, Goforth and Robinson here have delivered a well-written and knowledgeable, 'periodic table' of the most common games including: * the prisoner's dilemma * coordination games * chicken * the battle of the sexes. This book will provide a valuable reference for students of microeconomics and business mathematics.
Categories: Business & Economics

Mathematics for Economists

Mathematics for Economists

... by the 2x2 matrix A with the choice of the standard basis ( e ' , e ? } for R2 . What 2 x 2 matrix represents L with the different basis { b ' , 62 } ?

Author: E. Roy Weintraub

Publisher: Cambridge University Press

ISBN: 0521287693

Category: Business & Economics

Page: 180

View: 972

Looking at the process through which we arrive at adequate explanations for economic events, the author organizes the topics beginning with real numbers and functions, emphasizes the idea of linearity and encourages the reader to develop geometric intuition for the mathematical results.
Categories: Business & Economics

Canadian Journal of Mathematics

Canadian Journal of Mathematics

(A 2X2 matrix of form (i) in one can correspond to a 2X2 zero matrix in the other, of course.) This may be seen as follows: The statement is true or there ...

Author:

Publisher:

ISBN:

Category:

Page: 182

View: 358

Categories:

Advances in Optical and Photonic Devices

Advances in Optical and Photonic Devices

Analysis One strategy for the analysis and design of two dimensional lattice filters follows by extending the 2x2 matrix method for traditional lattices to ...

Author: Ki Young Kim

Publisher: BoD – Books on Demand

ISBN: 9789537619763

Category: Technology & Engineering

Page: 364

View: 691

The title of this book, Advances in Optical and Photonic Devices, encompasses a broad range of theory and applications which are of interest for diverse classes of optical and photonic devices. Unquestionably, recent successful achievements in modern optical communications and multifunctional systems have been accomplished based on composing “building blocks” of a variety of optical and photonic devices. Thus, the grasp of current trends and needs in device technology would be useful for further development of such a range of relative applications. The book is going to be a collection of contemporary researches and developments of various devices and structures in the area of optics and photonics. It is composed of 17 excellent chapters covering fundamental theory, physical operation mechanisms, fabrication and measurement techniques, and application examples. Besides, it contains comprehensive reviews of recent trends and advancements in the field. First six chapters are especially focused on diverse aspects of recent developments of lasers and related technologies, while the later chapters deal with various optical and photonic devices including waveguides, filters, oscillators, isolators, photodiodes, photomultipliers, microcavities, and so on. Although the book is a collected edition of specific technological issues, I strongly believe that the readers can obtain generous and overall ideas and knowledge of the state-of-the-art technologies in optical and photonic devices. Lastly, special words of thanks should go to all the scientists and engineers who have devoted a great deal of time to writing excellent chapters in this book.
Categories: Technology & Engineering

The Power of the 2 x 2 Matrix

The Power of the 2 x 2 Matrix

By studying the work of hundreds of the most original and effective business minds, the authors present a common architecture that illuminates exceptional analysis and creative performance. 2 x 2 Thinking is characterized by a fundamental ...

Author: Alex Lowy

Publisher: John Wiley & Sons

ISBN: 1118046633

Category: Business & Economics

Page: 352

View: 980

By studying the work of hundreds of the most original and effective business minds, the authors present a common architecture that illuminates exceptional analysis and creative performance. 2 x 2 Thinking is characterized by a fundamental appreciation for the dynamic and complex nature of business. The best strategists go out of their way to tackle dilemmas rather than merely solve problems. They use opposition, creative tension, iteration and transcendence to get to the heart of issues and involve critical others in finding the best solutions. The authors demonstrate how to apply the 2 x 2 approach to a wide range of important business challenges.
Categories: Business & Economics

Publicationes mathematicae

Publicationes mathematicae

Matematikai Intézet. It appears that few of the results about 2x2 matrices can be
generalized to the nxn case . However , the 2x2 case is of interest in itself , and it
lends itself uniquely to number - theoretic studies which will be presented later .

Author: Kossuth Lajos Tudományegyetem. Matematikai Intézet

Publisher:

ISBN: UCAL:B3530136

Category: Mathematics

Page:

View: 824

Categories: Mathematics

Encyclopedia International

Encyclopedia International

Matrices do not have quantitative values as do determinants, yet with certain
restrictions sums and products of ... \a b If k is a number and A is the 2x2 matrix ka
fcfel Lc d kA — □ This definition extends to matrices of _kc kd_ any dimensions.

Author:

Publisher: Grolier, Incorporated

ISBN: 0717207048

Category: Encyclopedias and dictionaries

Page: 20

View: 670

Thirty thousand alphabetically arranged articles designed especially to meet the needs of junior and senior high school students. Includes cross references throughout and an index in the final volume.
Categories: Encyclopedias and dictionaries

Milestones in Matrix Computation The selected works of Gene H Golub with commentaries

Milestones in Matrix Computation   The selected works of Gene H  Golub with commentaries

This algorithm generates a sequence such that XfXi = bah, where I2 is the 2x2 identity matrix. Proposition 4.3 k-0 Xi = ^A"X0Ci\ where C'j, are 2x2 matrices ...

Author: Raymond Chan

Publisher: OUP Oxford

ISBN: 0199206813

Category: Mathematics

Page: 584

View: 664

The text presents and discusses some of the most influential papers in Matrix Computation authored by Gene H. Golub, one of the founding fathers of the field. The collection of 21 papers is divided into five main areas: iterative methods for linear systems, solution of least squares problems, matrix factorizations and applications, orthogonal polynomials and quadrature, and eigenvalue problems. Commentaries for each area are provided by leading experts: Anne Greenbaum, Ake Bjorck, Nicholas Higham, Walter Gautschi, and G. W. (Pete) Stewart. Comments on each paper are also included by the original authors, providing the reader with historical information on how the paper came to be written and under what circumstances the collaboration was undertaken. Including a brief biography and facsimiles of the original papers, this text will be of great interest to students and researchers in numerical analysis and scientific computation.
Categories: Mathematics

Berkeley Problems in Mathematics

Berkeley Problems in Mathematics

Problem 7.7.5 ( Su80 , Fa96 ) Let A and B be real 2x2 matrices such that A2 = B2 = I and AB + BA = 0. Prove there exists a real nonsingular matrix T with 1 ...

Author: Paulo Ney de Souza

Publisher: Springer Science & Business Media

ISBN: 0387204296

Category: Mathematics

Page: 593

View: 100

This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.
Categories: Mathematics

Advanced Analysis of Gene Expression Microarray Data

Advanced Analysis of Gene Expression Microarray Data

The pair (0,T) specifies a submatrix. Given x, y G O, and a, b G T, the pScore of the 2x2 matrix is defined as pScore( ®xa ...

Author: Aidong Zhang

Publisher: World Scientific

ISBN: 9789812566454

Category: Science

Page: 339

View: 464

Focuses on the development and application of the latest advanced data mining, machine learning, and visualization techniques for the identification of interesting, significant, and novel patterns in gene expression microarray data. Describes cutting-edge methods for analyzing gene expression microarray data. Coverage includes gene-based analysis, sample-based analysis, pattern-based analysis and visualization tools.
Categories: Science

An Introduction to Fuzzy Logic and Fuzzy Sets

An Introduction to Fuzzy Logic and Fuzzy Sets

The four cases give all possible 2x2 fuzzy transition matrices. Determine when Pn converges and when it oscillates. 11. Let P be the 2x2 transition matrix ...

Author: James J. Buckley

Publisher: Springer Science & Business Media

ISBN: 3790814474

Category: Computers

Page: 285

View: 587

This book is an excellent starting point for any curriculum in fuzzy systems fields such as computer science, mathematics, business/economics and engineering. It covers the basics leading to: fuzzy clustering, fuzzy pattern recognition, fuzzy database, fuzzy image processing, soft computing, fuzzy applications in operations research, fuzzy decision making, fuzzy rule based systems, fuzzy systems modeling, fuzzy mathematics. It is not a book designed for researchers - it is where you really learn the "basics" needed for any of the above-mentioned applications. It includes many figures and problem sets at the end of sections.
Categories: Computers

Particle Physics

Particle Physics

These 2x2 matrices give the simplest representation of the group SU ( 2 ) ( reads " ess you two ” ) . Here the letter S signifies that the transformations ...

Author: Lev Borisovich Okunʹ

Publisher: CRC Press

ISBN: 3718602288

Category: Science

Page: 223

View: 568

Written by one of the world's leading theoretical physicists, this comprehensive volume offers a thorough overview of elementary particle physics and discusses progress in the field over the past two decades. The book forges links between new theoretical concepts and long-established facts in a style that both experts and students will find readable, informative, and challenging. A special section explains the use of relativistic quantum units, enabling readers to carry out back-of-the-envelope dimensional estimates. This ambitious book opens the door to a host of intriguing possibilities in the field of high-energy physics.
Categories: Science

Electrodynamics

Electrodynamics

We use underlines here to indicate matrices and to distinguish algebraic ... The unit scalar of the algebra d?2 is represented by the 2x2 identity matrix 1.

Author: William Baylis

Publisher: Springer Science & Business Media

ISBN: 0817640258

Category: Science

Page: 380

View: 320

The emphasis in this text is on classical electromagnetic theory and electrodynamics, that is, dynamical solutions to the Lorentz-force and Maxwell's equations. The natural appearance of the Minkowski spacetime metric in the paravector space of Clifford's geometric algebra is used to formulate a covariant treatment in special relativity that seamlessly connects spacetime concepts to the spatial vector treatments common in undergraduate texts. Baylis' geometrical interpretation, using such powerful tools as spinors and projectors, essentially allows a component-free notation and avoids the clutter of indices required in tensorial treatments. The exposition is clear and progresses systematically - from a discussion of electromagnetic units and an explanation of how the SI system can be readily converted to the Gaussian or natural Heaviside-Lorentz systems, to an introduction of geometric algebra and the paravector model of spacetime, and finally, special relativity. Other topics include Maxwell's equation(s), the Lorentz-force law, the Fresnel equations, electromagnetic waves and polarization, wave guides, radiation from accelerating charges and time-dependent currents, the Liénard-Wiechert potentials, and radiation reaction, all of which benefit from the modern relativistic approach. Numerous worked examples and exercises dispersed throughout the text help the reader understand new concepts and facilitate self-study of the material. Each chapter concludes with a set of problems, many with answers. Complete solutions are also available. An excellent feature is the integration of Maple into the text, thereby facilitating difficult calculations. To download accompanying Maple worksheets, please visit http://www.cs.uwindsor.ca/users/b/baylis
Categories: Science