Calculus of Variations: Introduction

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Covers the direct method of the calculus of variations, focusing on the existence of solutions for minimization problems.

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Quantum Chemistry: Perturbation Theory

Covers perturbation theory in quantum chemistry, variational principle, Pauli principle, and separability of operators.

Supervised Learning with kNN: Regression Model

Covers a simple mathematical model for supervised learning with k-nearest neighbors in regression.

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Discusses correcting errors in measurements through mathematical expressions and optimization techniques.

Calculus of Variations: Ground States in Quantum Mechanics

Covers the Calculus of Variations to find ground states in quantum mechanics by minimizing energy, discussing the Euler Lagrange equation and the Fundamental Theorem of Young Measure Theory.

Residue Theorem: Applications in Complex Analysis

Discusses the residue theorem and its applications in calculating complex integrals.

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Covers the optimization of hydropower systems and control strategies for maximizing energy production.

Calculus of Variations: Some Topics

Covers fundamental topics in calculus of variations, including minimizers and the Euler-Lagrange equation.

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