Harmonic Analysis: Properties and Consequences

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Algebraic Functions: Two Gendarmes

Explores algebraic functions, limits, and behavior as x approaches infinity.

Power Series Functions: Logarithm and Exponential

Explores power series functions, particularly the logarithm and exponential functions, discussing convergence, extension, and roots of entire functions.

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Equations du premier ordre: Particular Solutions

Explains how to find particular solutions for first-order differential equations using different types of functions.

Developing Cosine Composition

Explores the composition of Taylor expansions through an example, simplifying complex compositions to identify essential terms.

Algebraic Identities and Trigonometry

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Interpolation: Problem Statement

Introduces the problem of interpolation and demonstrates challenges with adding more points.

Interpolation: Convergence I

Covers the convergence theorems for interpolation and the application of polynomials for equispaced points.

Reed-Solomon Codes

Covers Reed-Solomon codes for error handling in communication and practical applications in 2D barcodes.

Taylor Series: Approximating Functions with Polynomials

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.