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Title Advances in mathematics research. Volume 19 / Albert R. Baswell, editor
Published New York : Nova Publishers, 2015
©2015

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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
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
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
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)
Print version record
Subject Mathematics -- Research.
MATHEMATICS -- Essays.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Mathematics -- Research
Form Electronic book
Author Baswell, Albert R., editor
ISBN 9781634820332
1634820339