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Related lectures (31)
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Taylor Polynomials: Definition and Approximation
Covers Taylor polynomials for function approximation and their properties, with examples.
Stirling's Formula: Applications and Embeddings
Explores Stirling's formula applications, polarization in vectors, and graph embeddings in Euclidean space.
Integration: Taylor Approximation & Convex Functions
Covers Taylor approximation, convex functions, and integrable properties.
Taylor Series: Convergence and Applications
Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.
Taylor Series: Derivatives and Approximations
Explores Taylor series, derivatives, and approximations in mathematical analysis.
Advanced Analysis II: Differentiable Functions
Explores differentiable functions, Taylor approximations, and directional derivatives in open sets.
Differentiable Functions: Derivatives and Approximations
Explores derivatives, Hessians, and Taylor approximations for differentiable functions.
Statistical Definition of Entropy: Adatoms and Mixing
Explores the statistical definition of entropy, adatoms on a surface, and mixing in a solid solution.
Taylor Polynomials: Approximating Functions with Taylor Polynomials
Delves into Taylor polynomials, showcasing how higher orders improve function approximations and how they can be used to calculate limits.
Taylor Polynomials and Approximations
Explores Taylor polynomials and approximations for various functions, emphasizing derivative equality and polynomial development around a specific point.
Non-vanishing of Dirichlet L-function and Gamma functions
Covers the proof of non-vanishing of Quadratic Dirichlet L-function and reviews basic properties of Gamma function.
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