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Related lectures (27)
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Transforms Properties
Covers the properties of transforms and their applications in mathematics.
Numerical Methods: Boundary Value Problems
Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.
Unbounded and Bounded Systems: Fourier Methods
Explores the spectral properties of unbounded and bounded systems using Fourier methods and emphasizes the importance of choosing the correct representation for different boundary conditions.
Fourier Transform: Compression and Analysis
Covers the Fourier transform, compression techniques, and spectral analysis of periodic signals.
Ewald Summation: Long-Range Interaction and Self-Interaction Correction
Explains Ewald summation, self-interaction correction, and short-range interaction calculations.
Fourier Series and Analysis
Covers Fourier series, analysis, the heat equation, Gibbs phenomenon, and Fourier transform properties.
Products and Convolution of Transforms
Covers the definition and properties of convolution of two functions and explores radioactive material decay rates.
Signals & Systems I: Fourier Transform and Dirac Pulse
Explores Fourier transformation, sign function, Dirac pulse, series development, and periodic signal synthesis.
Fourier Transform: Motivating Formula
Covers the motivation behind the Fourier transform formula, explaining the process step by step.
Fourier Transform: Properties and Convolution
Covers the properties and convolution of the Fourier transform.
