Description |
1 online resource (196 pages) : illustrations |
Contents |
ADVANCES IN MATHEMATICS RESEARCH. VOLUME 19; ADVANCES IN MATHEMATICS RESEARCH. VOLUME 19; Library of Congress Cataloging-in-Publication Data; CONTENTS; PREFACE; Chapter 1: THE COMPLEXITIES OF MATHSKILLS DEVELOPMENT; Abstract; Introduction; A Child's Introduction to Math; The Preschool Years; The Academic Years; Neuroanatomy and Math; Neurocognitive Skills and Math; Complexities of Math; Continuum of Math Learning Disorder Classifications; Conclusion; References; Chapter 2: CONSTRUCTION OF AN NP PROBLEM WITH AN EXPONENTIAL LOWER BOUND; Abstract; Introduction; The Hash Functions |
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Hashed Path TSP (HPTSP)HPTSP NP; HPTSP Is Not in P; Discussion; Conclusion; References; Chapter 3: MISCONCEPTIONS AND MISUNDERSTANDINGS (M & M) OF EXPLORATORY FACTOR ANALYSIS: SOME CLARIFICATIONS; Abstract; Principal Component Analysis (PCA); Exploratory Factor Analysis (EFA); Extraction Methods; Rotation Methods; Orthogonal versus Oblique Rotations; Conclusion; References; Suggested Readings; Chapter 4: EXPLORATORY STRUCTURAL EQUATION MODELING: A NEW TREND OF FACTOR ANALYSIS; Abstract; Introduction; Issues of the Confirmatory Factor Analysis Approach Structural Equation Modeling |
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Limitations of Exploratory Factor AnalysisExploratory Structural Equation Modeling; Conclusion; References; Appendix A; Chapter 5: QUANTUM INFORMATION MEASURES AND MOLECULAR PHASE EQUILIBRIA; Abstract; 1. Introduction; 2. Probability and Current Descriptors of Electronic States; 3. Quantum Measures of the Local Entropy/Information Content; 4. Vertical Solutions and Horizontal Phase-Equilibria; 5. Horizontal phase-Equilibria in N-Electron Systems; 6. Vertical Entropy/Information Principles; 7. Phase Descriptors of Molecular Fragments; 8. Elements of Thermodynamic-like Description; Conclusion |
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3. Reduction of the Solution Space4. The ProbabilisticModel; 5. Concluding Remarks; References; Chapter 8: MATHEMATICAL AND STATISTICAL APPLIED METHODS: STUDYING THE RELATIONSHIP BETWEEN CLIMATIC VARIABLES AND COTTON PRODUCTION; Abstract; 1. Introduction; 2. Data and Methods; 3. Results and Discussion; Conclusion; References; Chapter 9: QUANTUM CRYPTOGRAPHY WITHIN SEVERAL SEQUENTIAL ATTACKS IN BB84 PROTOCOL; Abstract; Introduction; Quantum Cryptography with Several Intercepts and Resend Attacks in Perfect Channel; Quantum Key Distribution with Several Cloning Attacks |
Summary |
Annotation "Advances in Mathematics Research" presents original studies on the leading edge of mathematics. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed include the complexities of math skills development; construction of an NP problem with an exponential lower bound; misconceptions and misunderstandings (M exploratory structural equation modeling; quantum information measures and molecular phase equilibria; a mathematical model and optimisation of rectangular mufflers hybridised with one-channel splitters by SA method; worst-case analysis versus average-case analysis for combinatorial optimisation problems; mathematical and statistical applied methods; and quantum cryptography within several sequential attacks in BB84 protocol |
Bibliography |
Includes bibliographical references at the end of each chapters and index |
Notes |
Online resource; title from PDF title page (ebrary, viewed May 16, 2015) |
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Print version record |
Subject |
Mathematics -- Research.
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MATHEMATICS -- Essays.
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MATHEMATICS -- Pre-Calculus.
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MATHEMATICS -- Reference.
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Mathematics -- Research
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Form |
Electronic book
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Author |
Baswell, Albert R., editor
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ISBN |
9781634820332 |
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1634820339 |
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