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Related lectures (32)

Existence of y: Proofs and EDO Resolution

Covers the proof of the existence of y and the resolution of EDOs with practical examples.

Memory Management: Part I

Covers memory management concepts such as block headers, external fragmentation, reference counting, and mark & sweep garbage collection.

Channelflow: Overview and Tools

Covers the Channelflow package, including DNS, chaos detection, invariant solutions, and eigenvalue computations, along with installation and testing details.

Integral Calculus: Fundamentals and Applications

Explores integral calculus fundamentals, including antiderivatives, Riemann sums, and integrability criteria.

Trigonometric Equations: Sinus and Cosinus

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Semigroups of Linear Operators

Explores semigroups of linear operators, contraction semigroups, infinitesimal generator, and Riemann integral properties.

Monodromy Conjecture

Explores the Monodromy Conjecture, discussing its origins, implications, and conditions for convergence in mathematical contexts.

Fourier Series: Understanding Coefficients and Periodicity

Explores Fourier series coefficients, periodicity, and series relations.

Matrix Factorization: Least Squares Method

Covers the factorization of a matrix and the least squares method.

Convergence Criteria: Polynomials Limits

Covers convergence criteria for polynomial limits and the theorem of the two gendarmes, emphasizing the importance of indeterminate forms.

Laplace Transform: Analytic Continuation

Covers the Laplace transform, its properties, and the concept of analytic continuation.

Matrix Operations: Linear Systems and Solutions

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

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