The collection transcends the traditional institutional division lines (private, public, large, small, research, undergraduate, etc.) and has something to offer for readers in every realm of academia. The collection challenges the reader to think about how to implement and improve undergraduate research experiences, what such experiences mean to students and faculty, and how such experiences can take a permanent place in the modern preparation of undergraduate mathematics and STEM majors but also as a source book for anyone interested in teaching mathematics and in the possibility of incorporating research-like experiences in mathematics classes at any level, as well as designing research experiences for undergraduates outside of the classroom.
Each chapter 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&M) of exploratory factor analysis; exploratory structural equation modeling; quantum information measures and molecular phase equilibria; a mathematical model and optimization of rectangular mufflers hybridized with one-channel splitters by SA method; worst-case analysis versus average-case analysis for combinatorial optimization problems; mathematical and statistical applied methods; and quantum cryptography within several sequential attacks in BB84 protocol.
Statistics is the field of knowledge concerned with data collection, data analysis, and data interpretation and presentation. Methodology comprises the many and varied structured ways in which research is conducted answering the fundamental question: How does the researcher effectively gather information for particular purposes? Both are core topics underlying the discipline of psychology and the other social, physical, and medical sciences. This dictionary is a focused reference resource that explores the lexicon of these two profoundly interrelated areas. It provides over 4,000 entries offering clear and authoritative definitions ; Balanced coverage in such core areas as research planning and design, psychometrics, quantitative and qualitative measurements, and data analysis ; Hundreds of incisive cross-references that deepen the user's understanding of related topics.
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