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Lecture
Prime Numbers: Euclid's Theorem
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Fundamental Theorem of Arithmetic
Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.
Harmonic Forms: Main Theorem
Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.
Chinese Remainders & RSA
Explores the Chinese Remainders Theorem, RSA public-key cryptosystem, bijective properties, and key generation for encryption and decryption.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Multivariate Statistics: Wishart and Hotelling T²
Explores the Wishart distribution, properties of Wishart matrices, and the Hotelling T² distribution, including the two-sample Hotelling T² statistic.
