Lectures related to Adrien-Marie Legendre

Legendre and Jacobi Symbols: RSA Cryptography

Explores Legendre and Jacobi symbols, quadratic residuosity, element orders, and RSA Cryptography complexities.

Covers prime numbers, RSA cryptography, and primality testing, including the Chinese Remainder Theorem and the Miller-Rabin test.

Constraints, Power, Work, and Kinetic Energy

Covers the general oscillation period equation, initial conditions, integration, elliptic integrals, Legendre polynomials, work, kinetic energy, and power.

RSA Cryptography: Primality Testing and Quadratic Residues

Explores RSA cryptography, covering primality testing, quadratic residues, and cryptographic applications.

Proof of Lagrange Theorem

Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.

Hamilton's Formalism: Equations and Transformations

Explores Hamilton's formalism, canonical equations, and Poisson brackets in classical and quantum mechanics.

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Primes in Arithmetic Progression Log in to Mediaspace to watch this video

Explores primes in arithmetic progression, focusing on L-functions, characters, and the divergence of the sum of 1 over p for p congruent to a modulo q.

Constraints, Power, Work, and Kinetic Energy Log in to Mediaspace to watch this video

Explores constraints, power, work, and kinetic energy, including oscillation periods, elliptic integrals, Legendre polynomials, and their applications.

Decision Trees: Classification Log in to Mediaspace to watch this video

Explores decision trees for classification, entropy, information gain, one-hot encoding, hyperparameter optimization, and random forests.

Quantum Chemistry: Lecture Series Log in to Mediaspace to watch this video

Series covers spherical coordinates, harmonics, Legendre polynomials, and angular momentum.

Hamiltonian Formulation and Equivalence with Euler-Lagrange Log in to Mediaspace to watch this video

Explores Hamiltonian formulation and its equivalence with Euler-Lagrange equations, illustrated through examples.