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Concept

Asymptotic analysis

Related lectures (30)

Von Neumann Extractor: Extensions

Covers the von Neumann Extractor and its extensions, aiming to derive and analyze an optimal extractor.

Effort Informed Roadmaps: Efficient Multiquery Planning with EIRM*

Introduces EIRM*, a planner that efficiently solves multiple planning problems by reusing information and managing graph size effectively.

Shell Components in Meromorphic Parameter Spaces

Explores shell components in transcendental parameter planes and attracting cycles.

Bessel equation: Bessel functions of the 1st kind

Explores the Bessel equation and the derivation of Bessel functions of the 1st kind.

Gamma Function and Stirling's Approximation: Mathematical Methods

Discusses the gamma function, its properties, and Stirling's approximation for large factorials, emphasizing their significance in mathematical methods for physics.

Central Potentials in Quantum Physics

Explores central potentials in quantum physics, focusing on commutation relations and diagonalization processes.

Search and Routing Protocols

Explores unstructured and structured search and routing protocols, emphasizing the importance of network structure assumptions and introducing the 'Bubble Storm' algorithm.

Approximations in Engineering Calculations

Explores the significance of approximations in engineering calculations, showcasing historical tools like slide rules and demonstrating approximation techniques with simple algebraic examples.

Ruelle resonances for geodesic flow

Explores Ruelle resonances for geodesic flows on non-compact manifolds, emphasizing the role of smoothness and eigenvalues in the dynamics.

Uncertainty Quantification for Coarse-Grained Molecular Dynamics

Delves into uncertainty quantification in molecular dynamics, focusing on aerospace materials, modeling decisions, and coarse-grained dynamics.

Comparing Functions MOOC: Analysis I MOOC: Analysis I (part 6) : Study of functions, limited developments

Explores using Bernoulli de l'Hospital's theorem to compare functions' asymptotic behavior.

Algorithmic Complexity: Travel Time Analysis

Covers algorithmic complexity and travel time analysis, focusing on measuring the time taken by algorithms and evaluating their performance.

Algorithmic Complexity: Theta Notation

Explores algorithmic complexity, comparing growth rates using Theta notation and characterizing different complexity classes.

Debiased Whittle Likelihood: Time Series and Spatial Data

Explores the Debiased Whittle likelihood for time series and spatial data, focusing on fitting spectral density to the periodogram for better predictions and parameter estimation.

Variational Methods: Shortest Time Path Problem

Covers variational methods to find the shortest time path for a particle under gravity.

Statistical Estimation: Maximum Likelihood

Explores Maximum Likelihood Estimation properties, challenges, and alternative methods in statistical inference.

Mean Value Theorem (Mittelwertsatz)Log in to Mediaspace to watch this video

Covers the Mean Value Theorem in differential calculus, focusing on critical points and global extrema within intervals.

Statistical Theory: Maximum Likelihood Estimation Log in to Mediaspace to watch this video

Explores the consistency and asymptotic properties of the Maximum Likelihood Estimator, including challenges in proving its consistency and constructing MLE-like estimators.

O-Notation, Local Extrema Log in to Mediaspace to watch this video

Covers O-Notation, local extrema, and critical points in functions.

Trans-series in Quantum Field Theory: SVZ Approach and Applications Log in to Mediaspace to watch this video

Discusses the SVZ sum rules and their application in quantum field theory, focusing on trans-series and non-perturbative corrections.