Advances in Mathematics Research

"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&M) of exploratory factor analysis; 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.