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Digitale Medien

Effect of Prior Information on String Length Estimates (2004)

Franklin, Christine A. ; Mulekar, Madhuri S.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article describes an activity through which students collect data and explore ways to display them through graphs and charts. It also motivates various summary measures for location, spread and shape. Finally, it gives an introduction to concepts of validity, reliability and unbiasedness.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00171.x

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Great Expectations? (2004)

Sheldon, Neil

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article introduces the concept of a prediction interval in a gambling context.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00176.x

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IASE matters (2004)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00182.x

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Notes for Contributors to  TEACHING STATISTICS (2004)

Oxford, UK : Blackwell Publishing Ltd

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00155.x

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EDITORIAL (2004)

Oxford, UK : Blackwell Publishing Ltd

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00156.x

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6

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An Upper Bound on the Value of the Standard Deviation (2004)

Croucher, John S.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article derives a simple upper bound for the sample standard deviation that could be useful in guarding against gross errors of calculation.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00157.x

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7

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About the Cover (2004)

Farnsworth, David

Oxford, UK : Blackwell Publishing Ltd

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: The cover's statistics and beading are discussed.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00159.x

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8

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Presentation of Type I and Type II Error Rates to Non-statisticians (2004)

Hauptman, Joe

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article describes a simple computer program which graphically demonstrates both Type I and Type II statistical errors.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00160.x

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9

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A Useful Example when Teaching Hypothesis Testing (2004)

Wiseman, Frederick

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article describes an example which is useful when teaching hypothesis testing in order to highlight the interrelationships that exist among the level of significance, the sample size and the statistical power of a test. The example also allows students to see how what they learn in the classroom directly affects the content of some of the commercials that they watch on television.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00158.x

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10

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Charts in Excel – A Series Matter (2004)

Hunt, Neville ; Mashhoudy, Houshang

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: The Chart Wizard in Microsoft Excel is supposed to make chart drawing so easy that a child can do it, yet many intelligent adults fail to use it successfully. This article suggests some simple principles that resolve many of the difficulties.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00161.x

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11

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Of Poohsticks and p-Values: Hypothesis Testing in the Hundred Acre Wood (2004)

Nordmoe, Eric D.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: A walk through Milne's Enchanted Forest leads to an unexpected encounter with hypothesis testing.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00163.x

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12

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NEWS & NOTES (2004)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00164.x

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13

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A VBA-based Simulation for Teaching Simple Linear Regression (2004)

Jones, Gregory Todd ; Hagtvedt, Reidar ; Jones, Kari

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: In spite of the name, simple linear regression presents a number of conceptual difficulties, particularly for introductory students. This article describes a simulation tool that provides a hands-on method for illuminating the relationship between parameters and sample statistics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00162.x

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14

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LOOK AHEAD (2004)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00165.x

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15

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THE C. OSWALD GEORGE PRIZE (2004)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00168.x

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16

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STATISTICAL DIVERSIONS (2004)

Petocz, Peter ; Sowey, Eric

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00166.x

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17

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Classical versus Bayesian Inference: A Classroom Illustration (2004)

Woolley, Thomas W.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article describes an illustration of Bayesian inference that has proved popular with students.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00167.x

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18

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IASE matters (2004)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00169.x

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19

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EDITORIAL (2004)

Goodall, Gerald

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00133.x

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20

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Resampling with Excel (2004)

Christie, Derek

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: Standard Microsoft Excel functions and the Excel Data Table facility are used in randomization applications using resampling with and without replacement.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00136.x

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21

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STATISTICAL DIVERSIONS (2004)

Petocz, Peter ; Sowey, Eric

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00137.x

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22

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Turning Points in Random Permutations (2004)

Hombas, Vassilios

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: The mean and variance of the number of turning points in random permutations are evaluated. These results are applied to a test of randomness of fluctuations.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00138.x

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23

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Useful Data for Teaching Statistics from Hockey World Cup Matches (2004)

Cholkar, C. P. ; Deshpande, M. N.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article presents some data from a major sports event that can be used in common statistical analyses.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00139.x

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24

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BOOK REVIEW (2004)

Payne, Bradley

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00145.x

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25

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Sensitivity of the χ2 Goodness-of-Fit Test to the Choice of Classes (2004)

Mooney, Jennifer ; Jolliffe, Ian

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: The χ2 goodness-of-fit test is often one of the first tests of hypotheses encountered by students. When some of the expected frequencies are small, classes need to be combined. A real-life example is given that illustrates a surprising sensitivity of the results of the test to the way in which such combinations are chosen.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00140.x

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26

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In All Probability, Probability is not All (2004)

Helman, Danny

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: The national lottery is often portrayed as a game of pure chance with no room for strategy. This misperception seems to stem from the application of probability instead of expectancy considerations, and can be utilized to introduce the statistical concept of expectation.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.00143.x

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27

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LETTER TO THE EDITOR (2004)

Johnson, Roger

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.0134b.x

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LETTER TO THE EDITOR (2004)

Lesser, Larry

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.0141b.x

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29

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Water Quality Statistics (2004)

Hodgson, Ted ; Andersen, Lyle ; Robison-Cox, Jim ; [weitere]

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: Water quality experiments, especially the use of macroinvertebrates as indicators of water quality, offer an ideal context for connecting statistics and science. In the STAR program for secondary students and teachers, water quality experiments were also used as a context for teaching statistics. In this article, we trace one activity that uses virtual streams and repeated sampling to develop the notion of a hypothesis test for one proportion.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.0134a.x

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30

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The Generalized Mean (2004)

Sheldon, Neil

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article defines the generalized mean and shows how it relates to such statistics as the arithmetic, geometric and harmonic means.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.0141a.x

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Odds That Don’t Multiply Up (2004)

Fletcher, Mike

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article discusses the calculation of odds for combined events.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.0144a.x

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News & Notes (2004)

Goodall, Gerald

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.0144b.x

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LOOK AHEAD (2004)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 26 (2004), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9639.2004.0144c.x

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EDITORIAL (2003)

Goodall, Gerald

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00133

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Regression through the Origin (2003)

Eisenhauer, Joseph G.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article describes situations in which regression through the origin is appropriate, derives the normal equation for such a regression and explains the controversy regarding its evaluative statistics. Differences between three popular software packages that allow regression through the origin are illustrated using examples from previous issues of Teaching Statistics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00136

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Teaching Confidence Intervals with Java Applets (2003)

Bertie, Andrew ; Farrington, Paddy

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: Confidence intervals are pedagogically important but often misinterpreted. This article describes Java applets designed to help students understand two interpretations of confidence intervals.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00134

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BOOK REVIEW (2003)

Rangecroft, Margaret

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00140

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38

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Record Values and Surviving Glacial Moraines (2003)

Johnson, Roger

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: Estimating the number of glacial advances from surviving glacial debris can, amazingly enough, be cast as a records problem for which there is a substantial statistical literature. As a result, instructors may illustrate method of moments and maximum-likelihood estimation techniques with an interesting problem in the physical sciences.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00138

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STATISTICAL DIVERSIONS (2003)

Petocz, Peter ; Sowey, Eric

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00141

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Look Ahead (2003)

Oxford, UK : Blackwell Publishing Ltd

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.01203

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On the Number of Cycles in Randomly Selected Permutations (2003)

Laghate, Kavita ; Deshpande, M.N.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: In this article we derive the distribution, mean and variance of the number of cycles in a randomly selected permutation of the first n integers.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.01201

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Do Football Teams Have Clusters of Wins, Draws and Defeats? (2003)

Smeeton, Nigel

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: The issue of whether football teams have good or bad patches during the course of a season is of concern to many supporters. This interest can be harnessed to make the classroom teaching of probability more relevant. In this article, the unfamiliar runs test for multiple outcomes is used to test for possible clustering in wins, draws and defeats in a short series of consecutive matches.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.01241

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CORRIGENDUM (2003)

Goodall, Gerald

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.01242

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News and Notes (2003)

Goodall, Gerald

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.t01-1-00079

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Exploring the Probabilities of ‘Who Wants to be a Millionaire?’ (2003)

Quinn, Robert J.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article discusses three probabilistic scenarios based on the television game show ‘Who Wants to be a Millionaire?’. These situations provide motivational opportunities for high-school students to explore the concepts of expected value, permutations and independent events.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.t01-1-00123

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Intuition in Using Nominal Variables for Prediction (2003)

Suich, Ron ; Turek, Richard

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: The notion of independence between two nominal variables is typically introduced through the use of chi-square analysis of contingency tables, while the topic of prediction of one nominal variable from a second nominal variable using optimal prediction to the mode is often omitted. Through the use of a questionnaire, this article indicates that there is considerable confusion among students on the difference between the concepts of independence and prediction, and remedies are suggested.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.t01-1-00125

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Hiawatha Designs an Experiment (2003)

Goodall, Gerald

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This is a reprint, with permission, of a well-known statistical poem.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00119

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A Lottery Misfortune (2003)

Helman, Danny

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article looks at a national lottery in which the fifth prize is more probable than the sixth.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00121

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From Sharing to Balancing – No Mean Feat! (2003)

Holmes, Peter

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article suggests how to move from the primary school notion of the average being ‘fair shares for all’ to the secondary school idea of the mean being a ‘balancing point’.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00120

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Handling Continuous Data in Excel (2003)

Hunt, Neville

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article demonstrates how Microsoft Excel 2000 can best be used to tabulate and chart continuous data.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00122

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Wish You Were Here: Postcards from Seoul (2003)

Baczkowski, A.J.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: What a set of 73 postcards sent from Seoul to one address in the United Kingdom between 23 August 2001 and 1 September 2001 reveals about the postal service.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00123

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The Weakest Link (2003)

Fletcher, Mike ; Mooney, Claire

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article discusses optimal strategies for contestants in a well-known television game show.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00125

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Collecting Data on Train Performance (2003)

Porkess, Roger

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article illustrates many of the problems of defining and obtaining a ‘representative’ sample in the context of a real-life survey of train performance.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00124

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A Theoretical Framework for Teaching Statistics (2003)

Mills, Jamie D.

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article explores a theoretical framework to consider when teaching statistics. It is discussed and illustrated using one innovative approach to teaching using computer simulation methods. This framework can be considered across many different disciplines and age levels.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00126

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By Comparison: A Procession of Incomes. What Do You Really Mean? (2003)

Tyrrell, Sidney

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: The Family Expenditure Survey provides details of household incomes. This article looks at income distribution afresh and what is meant by the mean.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00127_1

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The C. Oswald George prize (2003)

Gerald, Goodall

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00127_2

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Notes for Contributors to Teaching statistics (2003)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00132

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Letter to the Editor (2003)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.01281

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Look Ahead (2003)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.01283

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Editorial (2003)

Oxford, UK : Blackwell Publishing Ltd

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00092-i2

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Editorial (2003)

Gerald, Goodall

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/j.1467-9663.2006.00513.x-i1

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News and Notes (2003)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.t01-2-00079b

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Book Review (2003)

Connor, Doreen

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00099_2

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A Statistician's Approach to Goldbach's Conjecture (2003)

Sheldon, Neil

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: Goldbach's conjecture is explored by means of probability.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00108

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Confident in a Kiss? (2003)

Richardson, Mary ; Haller, Susan

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article describes an interactive activity for illustrating general properties of confidence intervals and the construction of confidence intervals for proportions. In completing this activity, students generate, collect and analyse data.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00107

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The Gourmet Guide to Statistics: For an Instructional Strategy That Makes Teaching and Learning Statistics a Piece of Cake (2003)

Edirisooriya, Gunapala

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article draws analogies between the activities of statisticians and of chefs. It suggests how these analogies can be used in teaching, both to help understanding of what statistics is about and to increase motivation to learn the subject.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00106

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Fifteen To One (2003)

Meacock, Susan

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article shows how data from a television game show can be used as a basis for illustrating many statistical procedures.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00110

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A Walker Runs Through the Syllabus (2003)

Tyrrell, Sidney

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: A bag of 24 packets of a well-known brand of crisps provides a handy visual (and edible) aid to looking at the syllabus of a basic course in statistics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00112

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PRIZE CROSSWORD COMPETITION REPORT (2003)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.00115

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Look Ahead (2003)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.01143

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King Kong, Storks and Birth Rates (2003)

Wirth, Steffen

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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ISSN: 1467-9639

Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Notizen: This article discusses the influence extreme observations can exert on linear correlation between variables. It shows that standard p-values obtained according to ordinary least squares and median regression can be misleading. Bootstrapping can prevent underestimation of the standard error of the regression coefficient and therefore unmask the deceiving correlation.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.01141

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News and Notes (2003)

Oxford, UK : Blackwell Publishing Ltd

Teaching statistics 25 (2003), S. 0

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Quelle: Blackwell Publishing Journal Backfiles 1879-2005

Thema: Mathematik

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1111/1467-9639.t01-2-00079a

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73

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Bound states in straight quantum waveguides with combined boundary conditions (2002)

Dittrich, J. ; Kríz, J.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3892-3915

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We investigate the discrete spectrum of the Hamiltonian describing a quantum particle living in the two-dimensional straight strip. We impose the combined Dirichlet and Neumann boundary conditions on different parts of the boundary. Several statements on the existence or the absence of the discrete spectrum are compared for two models with combined boundary conditions. Examples of eigenfunctions and eigenvalues are computed numerically. © 2002 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.1491597

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Symmetry breaking regime in the nonlinear Hartree equation (2002)

Aschbacher, W. H. ; Fröhlich, J. ; Graf, G. M. ; [weitere]

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3879-3891

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The present article is concerned with minimizers of the attractive Hartree energy functional Hg[ψ¯,ψ]=〈fraction SHAPE="CASE"〉12||∇ψ||22+(ψ,vψ)2+g(ψ,V * |ψ|2ψ)2 on Rd, d≥2, for a general class of external potentials v and two-body interactions V of positive type, with g〈0. We prove spontaneous symmetry breaking in the large coupling limit. A numerical investigation visualizes this regime in the example of an external double well potential. © 2002 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.1488673

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The Dirac operator in a fermion bag background in 1+1 dimensions and generalized supersymmetric quantum mechanics (2002)

Feinberg, Joshua

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3927-3936

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We show that the spectral theory of the Dirac operator D=i∂(Slashthrough accent mark)−σ(x)−iπ(x)γ5, in a static background (σ(x),π(x)) in 1+1 space–time dimensions, is underlined by a certain novel generalization of supersymmetric quantum mechanics, and we explore some of its mathematical and physical consequences. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1485114

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Bogoliubov transformations and exact isolated solutions for simple nonadiabatic Hamiltonians (2002)

Emary, C. ; Bishop, R. F.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3916-3926

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We present a new method for finding isolated exact solutions of a class of nonadiabatic Hamiltonians of relevance to quantum optics and allied areas. Central to our approach is the use of Bogoliubov transformations of the bosonic fields in the models. We demonstrate the simplicity and efficiency of this method by applying it to the Rabi Hamiltonian. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1490406

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Energy levels and wave functions of vector bosons in a homogeneous magnetic field (2002)

Sogut, K.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3952-3962

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We aimed to obtain the energy levels of massive spin-1 particles moving in a constant magnetic field. The method used here is completely algebraic. In the process to obtain the energy levels the wave function is expressed in terms of Laguerre polynomials. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1489502

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Pseudo-Hermiticity versus PT-symmetry III: Equivalence of pseudo-Hermiticity and the presence of antilinear symmetries (2002)

Mostafazadeh, Ali

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3944-3951

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We show that a diagonalizable (non-Hermitian) Hamiltonian H is pseudo-Hermitian if and only if it has an antilinear symmetry, i.e., a symmetry generated by an invertible antilinear operator. This implies that the eigenvalues of H are real or come in complex conjugate pairs if and only if H possesses such a symmetry. In particular, the reality of the spectrum of H implies the presence of an antilinear symmetry. We further show that the spectrum of H is real if and only if there is a positive-definite inner-product on the Hilbert space with respect to which H is Hermitian or alternatively there is a pseudo-canonical transformation of the Hilbert space that maps H into a Hermitian operator. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1489072

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Stabilization of impurity states in crossed magnetic and electric fields (2002)

Krajewska, K. ; Kaminski, J. Z.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3937-3943

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: It is shown that the renormalizability of the zero-range interaction in the two-dimensional space is always followed by the existence of a bound state, which is not true for odd-dimensional spaces. A renormalization procedure is defined and the exact retarded Green's function for electrons moving in two dimensions and interacting with both crossed magnetic and electric fields and an attractive zero-range interaction is constructed. Imaginary parts of poles of this Green's function determine lifetimes of quasibound (resonance) states. It is shown that for some particular parameters the stabilization against decay occurs even for strong electric fields. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1491596

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The propagator of the radial Dirac equation (2002)

Ichinose, Takashi

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3963-3983

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The propagator for the radial Dirac equation is explicitly constructed. It turns out to be a distribution of order zero, but it is shown that there exists no path-space measure associated with this equation. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1486263

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Applications of Nambu mechanics to systems of hydrodynamical type (2002)

Guha, Partha

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4035-4040

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

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URL: http://dx.doi.org/10.1063/1.1481955

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On the problem of algebraic completeness for the invariants of the Riemann tensor. III. (2002)

Carminati, J. ; Zakhary, E.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4020-4034

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ISSN: 1089-7658

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Thema: Mathematik , Physik

Notizen: We study the set CZ of invariants [Zakhary and Carminati, J. Math. Phys. 42, 1474 (2001)] for the class of space–times whose Ricci tensors possess a null eigenvector. We show that all cases are maximally backsolvable, in terms of sets of invariants from CZ, but that some cases are not completely backsolvable and these all possess an alignment between an eigenvector of the Ricci tensor with a repeated principal null vector of the Weyl tensor. We provide algebraically complete sets for each canonically different space–time and hence conclude with these results and those of a previous article [Carminati, Zakhary, and McLenaghan, J. Math. Phys. 43, 492 (2002)] that the CZ set is determining or maximal. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1478803

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A unified treatment of quartic invariants at fixed and arbitrary energy (2002)

Karlovini, Max

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4041-4059

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ISSN: 1089-7658

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Thema: Mathematik , Physik

Notizen: Two-dimensional Hamiltonian systems admitting second invariants which are quartic in the momenta are investigated using the Jacobi geometrization of the dynamics. This approach allows for a unified treatment of invariants at both arbitrary and fixed energy. In the differential geometric picture, the quartic invariant corresponds to the existence of a fourth rank Killing tensor. Expressing the Jacobi metric in terms of a Kähler potential, the integrability condition for the existence of the Killing tensor at fixed energy is a nonlinear equation involving the Kähler potential. At arbitrary energy, further conditions must be imposed which lead to an overdetermined system with isolated solutions. We obtain several new integrable and superintegrable systems in addition to all previously known examples. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1483107

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Multisymplectic geometry and multisymplectic Preissman scheme for the KP equation (2002)

Liu, Tingting ; Qin, Mengzhao

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4060-4077

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The multisymplectic structure of the KP equation is obtained directly from the variational principal. Using the covariant De Donder–Weyl Hamilton function theories, we reformulate the KP equation to the multisymplectic form which was proposed by Bridges. From the multisymplectic equation, we can derive a multisymplectic numerical scheme of the KP equation which can be simplified to the multisymplectic 45 points scheme. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1487444

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Properties of the symplectic structure of general relativity for spatially bounded space–time regions (2002)

Anco, Stephen C.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 3984-4019

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We continue a previous analysis of the covariant Hamiltonian symplectic structure of general relativity for spatially bounded regions of space–time. To allow for wide generality, the Hamiltonian is formulated using any fixed hypersurface, with a boundary given by a closed spacelike two-surface. A main result is that we obtain Hamiltonians associated with Dirichlet and Neumann boundary conditions on the gravitational field coupled to matter sources, in particular a Klein–Gordon field, an electromagnetic field, and a set of Yang–Mills–Higgs fields. The Hamiltonians are given by a covariant form of the Arnowitt–Deser–Misner (ADM) Hamiltonian modified by a surface integral term that depends on the particular boundary conditions. The general form of this surface integral involves an underlying "energy-momentum" vector in the space–time tangent space at the spatial boundary two-surface. We give examples of the resulting Dirichlet and Neumann vectors for topologically spherical two-surfaces in Minkowski space–time, spherically symmetric space–times, and stationary axisymmetric space–times. Moreover, we establish the relation between these vectors and the ADM energy-momentum vector for a two-surface taken in a limit to be spatial infinity in asymptotically flat space–times. We also discuss the geometrical properties of the Dirichlet and Neumann vectors and obtain several striking results relating these vectors to the mean curvature and normal curvature connection of the two-surface. Most significantly, the part of the Dirichlet vector normal to the two-surface depends only on the space–time metric at this surface and thereby defines a geometrical normal vector field on the two-surface. We show that this normal vector is orthogonal to the mean curvature vector, and its norm is the mean null extrinsic curvature, while its direction is such that there is zero expansion of the two-surface, i.e., the Lie derivative of the surface volume form in this direction vanishes. This leads to a direct relation between the Dirichlet vector and the condition for a spacelike two-surface to be (marginally) trapped. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1489501

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(2+1)-dimensional (M+N)-component AKNS system: Painlevé integrability, infinitely many symmetries, similarity reductions and exact solutions (2002)

Lou, Sen-yue

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4078-4109

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The (2+1)-dimensional (M+N)-component AKNS system that is derived from the inner parameter dependent symmetry constraint of the KP equation is studied in detail. First, the Painlevé integrability of the model is proved by using the standard WTC and Kruskal approach. Using the formal series symmetry approach, the generalized KMV symmetry algebra and the related symmetry group are found. The two-dimensional similarity partial differential equation reductions and the ordinary differential equation reductions are obtained from the generalized KMV symmetry algebra and the direct method. Abundant localized coherent structures are revealed by the variable separation approach. Some special types of the localized excitations like the multiple solitoffs, dromions, lumps, ring solitons, breathers and instantons are plotted also. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1490407

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On a low energy bound in a class of chiral field theories with solitons (2002)

Shabanov, Sergei V.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4127-4134

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: A low energy bound for static classical solutions in a class of chiral solitonic field theories related to the infrared physics of the SU(N) Yang–Mills theory is established. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1488671

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Chiral mixtures (2002)

Petitjean, Michel

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4147-4157

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: An index evaluating the amount of chirality of a mixture of colored random variables is defined. Properties are established. Extreme chiral mixtures are characterized and examples are given. Connections between chirality, Wasserstein distances, and least squares Procrustes methods are pointed out. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1484559

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Commensurate harmonic oscillators: Classical symmetries (2002)

Amiet, Jean-Pierre

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4110-4126

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The symmetry properties of a classical N-dimensional harmonic oscillator with rational frequency ratios are studied from a global point of view. A commensurate oscillator possesses the same number of globally defined constants of motion as an isotropic oscillator. In both cases invariant phase-space functions form the algebra su(N) with respect to the Poisson bracket. In the isotropic case, the phase-space flows generated by the invariants can be integrated globally to a set of finite transformations isomorphic to the group SU(N). For a commensurate oscillator, however, the group SU(N) of symmetry transformations is found to exist only on a reduced phase space, due to unavoidable singularities of the flow in the full phase space. It is therefore crucial to distinguish carefully between local and global definitions of symmetry transformations in phase space. This result solves the longstanding problem of which symmetry to associate with a commensurate harmonic oscillator. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1488672

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The XXZ spin chain at Δ=−1/2: Bethe roots, symmetric functions, and determinants (2002)

de Gier, J. ; Batchelor, M. T.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4135-4146

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ISSN: 1089-7658

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Thema: Mathematik , Physik

Notizen: A number of conjectures have been given recently concerning the connection between the antiferromagnetic XXZ spin chain at Δ=−1/2 and various symmetry classes of alternating sign matrices. Here we use the integrability of the XXZ chain to gain further insight into these developments. In doing so we obtain a number of new results using Baxter's Q function for the XXZ chain for periodic, twisted and open boundary conditions. These include expressions for the elementary symmetric functions evaluated at the ground state solution of the Bethe roots. In this approach Schur functions play a central role and enable us to derive determinant expressions which appear in certain natural double products over the Bethe roots. When evaluated these give rise to the numbers counting different symmetry classes of alternating sign matrices. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1487445

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Twisted duality of the CAR-algebra (2002)

Baumgärtel, Hellmut ; Jurke, Matthias

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4158-4179

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ISSN: 1089-7658

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Thema: Mathematik , Physik

Notizen: We give a complete proof of the twisted duality property M(q)′=Z˜M(q⊥)Z˜* of the (self-dual) CAR-Algebra in any Fock representation. The proof is based on the natural Halmos decomposition of the (reference) Hilbert space when two suitable closed subspaces have been distinguished. We use modular theory and techniques developed by Kato concerning pairs of projections in some essential steps of the proof. As a byproduct of the proof we obtain an explicit and simple formula for the graph of the modular operator. This formula can be also applied to fermionic free nets, hence giving a formula of the modular operator for any double cone. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1483376

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Fusion bases as facets of polytopes (2002)

Bégin, L.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4180-4201

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: A new way of constructing fusion bases (i.e., the set of inequalities governing fusion rules) out of fusion elementary couplings is presented. It relies on a polytope reinterpretation of the problem: the elementary couplings are associated with the vertices of the polytope while the inequalities defining the fusion basis are the facets. The symmetry group of the polytope associated with the lowest rank affine Lie algebras is found; it has order 24 for su&dbgcaret;(2), 432 for su&dbgcaret;(3) and quite surprisingly, it reduces to 36 for su&dbgcaret;(4), while it is only of order 4 for sp&dbgcaret;(4). This drastic reduction in the order of the symmetry group as the algebra gets more complicated is rooted in the presence of many linear relations between the elementary couplings that break most of the potential symmetries. For su&dbgcaret;(2) and su&dbgcaret;(3), it is shown that the fusion-basis defining inequalities can be generated from few (one and two, respectively) elementary ones. For su&dbgcaret;(3), new symmetries of the fusion coefficients are found. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1489070

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The Gelfand–Zeitlin selection rules and representations of quantum Anq algebras (2002)

Leznov, A. N.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4221-4233

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The problem of construction of irreducible representations of quantum Anq algebras is solved by explicit integration of the linear (inhomogeneous) system of equations in finite differences in the n-dimensional space. The general solution of this system is given explicitly, and particular solutions corresponding to the irreducible representations are selected. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1491595

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Boundary-layer theory, strong-coupling series, and large-order behavior (2002)

Bender, Carl M.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 4202-4220

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The introduction of a lattice converts a singular boundary-layer problem in the continuum into a regular perturbation problem. However, the continuum limit of the discrete problem is extremely nontrivial and is not completely understood. This article examines two singular boundary-layer problems taken from mathematical physics, the instanton problem and the Blasius equation, and in each case examines two strategies, Padé resummation and variational perturbation theory, to recover the solution to the continuum problem from the solution to the associated discrete problem. Both resummation procedures produce good and interesting results for the two cases, but the results still deviate from the exact solutions. To understand the discrepancy a comprehensive large-order behavior analysis of the strong-coupling lattice expansions for each of the two problems is done. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1490408

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Controllability of quantum mechanical systems by root space decomposition of su(N) (2002)

Altafini, Claudio

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 2051-2062

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ISSN: 1089-7658

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Thema: Mathematik , Physik

Notizen: The controllability property of the unitary propagator of an N-level quantum mechanical system subject to a single control field is described using the structure theory of semisimple Lie algebras. Sufficient conditions are provided for the vector fields in a generic configuration as well as in a few degenerate cases. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1467611

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Generalized coherent and squeezed states based on the h(1)⊕su(2) algebra (2002)

Alvarez M., Nibaldo ; Hussin, Véronique

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 2063-2096

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Thema: Mathematik , Physik

Notizen: States which minimize the Schrödinger–Robertson uncertainty relation are constructed as eigenstates of an operator which is an element of the h(1)⊕su(2) algebra. The relations with supercoherent and supersqueezed states of the supersymmetric harmonic oscillator are given. Moreover, we are able to compute general Hamiltonians which behave like the harmonic oscillator Hamiltonian or are related to the Jaynes–Cummings Hamiltonian. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1462858

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Reversing quantum dynamics with near-optimal quantum and classical fidelity (2002)

Barnum, H. ; Knill, E.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 2097-2106

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Thema: Mathematik , Physik

Notizen: We consider the problem of reversing quantum dynamics, with the goal of preserving an initial state's quantum entanglement or classical correlation with a reference system. We exhibit an approximate reversal operation, adapted to the initial density operator and the "noise" dynamics to be reversed. We show that its error in preserving either quantum or classical information is no more than twice that of the optimal reversal operation. Applications to quantum algorithms and information transmission are discussed. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1459754

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Two families of superintegrable and isospectral potentials in two dimensions (2002)

Demircioglu, B. ; Kuru, S¸.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 2133-2150

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ISSN: 1089-7658

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Thema: Mathematik , Physik

Notizen: As an extension of the intertwining operator idea, an algebraic method which provides a link between supersymmetric quantum mechanics and quantum (super)integrability is introduced. By realization of the method in two dimensions, two infinite families of superintegrable and isospectral stationary potentials are generated. The method makes it possible to perform Darboux transformations in such a way that, in addition to the isospectral property, they acquire the superintegrability preserving property. Symmetry generators are second and fourth order in derivatives and all potentials are isospectral with one of the Smorodinsky–Winternitz potentials. Explicit expressions of the potentials, their dynamical symmetry generators, and the algebra they obey as well as their degenerate spectra and corresponding normalizable states are presented. © 2002 American Institute of Physics.

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URL: http://dx.doi.org/10.1063/1.1463217

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Optimal control in laser-induced population transfer for two- and three-level quantum systems (2002)

Boscain, Ugo

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 2107-2132

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: We apply the techniques of control theory and of sub-Riemannian geometry to laser-induced population transfer in two- and three-level quantum systems. The aim is to induce complete population transfer by one or two laser pulses minimizing the pulse fluences. Sub-Riemannian geometry and singular-Riemannian geometry provide a natural framework for this minimization, where the optimal control is expressed in terms of geodesics. We first show that in two-level systems the well-known technique of "π-pulse transfer" in the rotating wave approximation emerges naturally from this minimization. In three-level systems driven by two resonant fields, we also find the counterpart of the "π-pulse transfer." This geometrical picture also allows one to analyze the population transfer by adiabatic passage. © 2002 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.1465516

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Generalized boundary conditions for the Aharonov–Bohm effect combined with a homogeneous magnetic field (2002)

Exner, P.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 43 (2002), S. 2151-2168

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: The most general admissible boundary conditions are derived for an idealized Aharonov–Bohm flux intersecting the plane at the origin on the background of a homogeneous magnetic field. A standard technique based on self-adjoint extensions yields a four-parameter family of boundary conditions; the other two parameters of the model are the Aharonov–Bohm flux and the homogeneous magnetic field. The generalized boundary conditions may be regarded as a combination of the Aharonov–Bohm effect with a point interaction. Spectral properties of the derived Hamtonians are studied in detail. © 2002 American Institute of Physics.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.1463712

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