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Fermat's factorization method
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Complex Numbers: Operations and Applications
Explores complex number properties, roots, and polynomial equations in the complex plane.
Groups and Numbers: Hidden Subgroup Problem
Explores groups and numbers, emphasizing the hidden subgroup problem and its complexities in classic and quantum algorithms.
Integers: Well Ordering and Induction
Explores well ordering, induction, Euclidean division, and prime factorization in integers.
Polynomial Regulator Design
Covers the design of polynomial regulators using the RST method.
Quantum and nanocomputing
Covers the basics of number theory, RSA encryption, and Shor's period finding algorithm.
Matrix Determinant: Factorization and Linear Equations
Covers the determinant of a matrix, factorization, and linear equations with infinite solutions.
Algebraic Structures: Groups and Rings
Covers groups, rings, number theory, atomic bonds, and materials structure, setting the foundation for further exploration.
Viète Relations: Polynomial Roots and Coefficients
Explores Viète's identities, relating polynomial roots and coefficients to solve equations.
Polymer Modeling: Interactions and Scaling Behavior
Explores polymer modeling, interactions, and scaling behavior of real polymers.
RST Regulator: Theory and Implementation
Covers the theory and implementation of RST regulators, focusing on factorization of zeros and matrix writing.