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Lecture
Fourier Series: Periodic Functions
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Fourier Series: Convergence and Dirichlet Theorem
Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.
Fourier Series: Approximation and Transformations
Covers the concept of Fourier series and their practical applications in signal processing.
Real Functions: Definitions and Properties
Explores real functions, covering parity, periodicity, and polynomial functions.
Functions and Periodicity
Covers functions, including even and odd functions, periodicity, and function operations.
Fourier Series: Understanding Coefficients and Periodicity
Explores Fourier series coefficients, periodicity, and series relations.
Trigonometric Polynomials: Periodicity and Fourier Coefficients
Explores trigonometric polynomials, periodicity, and Fourier coefficients in mathematical analysis.
Determinantal Point Processes and Extrapolation
Covers determinantal point processes, sine-process, and their extrapolation in different spaces.
Wave Propagation: General Solutions
Explores the general solutions for wave propagation and Fourier transforms in periodic functions.
Neural Networks: Training and Activation
Explores neural networks, activation functions, backpropagation, and PyTorch implementation.
Fourier Series: Theory and Applications
Explores the theory and applications of Fourier series, including convergence properties and piecewise-defined functions.