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Trigonometric Polynomials: Periodicity and Fourier Coefficients
Explores trigonometric polynomials, periodicity, and Fourier coefficients in mathematical analysis.
Fourier Series: Convergence and Dirichlet Theorem
Covers Fourier series convergence, Dirichlet theorem, and applications in signal processing.
Parametric Resonance: Standard Base
Covers parametric resonance, standard base, linearly independent solutions, and periodic functions in mechanics.
Real Functions of Real Variables: Properties and Domains
Covers the properties of real functions, domains, and types of functions, including periodicity.
Shor Algorithm: Period Finding
Covers the Shor Algorithm for period finding and its application in factorization, discussing the circuit implementation and measurement outcomes.
Sampling Theorem and Control Systems
Explores the Sampling Theorem, digital control, signal reconstruction, and anti-aliasing filters.
Fourier Series: Dirichlet Theorem and Convergence
Explores Fourier series, Dirichlet theorem, and convergence properties in periodic functions.
Circuits in Sinusoidal Mode: Fundamentals and Analysis
Explores the fundamentals of circuits in sinusoidal mode and the analysis of linear circuits' response to sinusoidal excitations.
Fourier Series: Periodic Functions and Sine/Cosine Interactions
Covers the Fourier series and interactions between sine and cosine functions.
Algebraic Operations and Parity Functions
Covers algebraic operations and parity functions, emphasizing even and odd functions in a symmetric domain.