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Related lectures (59)

Sparsest Cut: Bourgain's Theorem Log in to Mediaspace to watch this video

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

Sparsest Cut: ARV Theorem Log in to Mediaspace to watch this video

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Fundamental Solutions Log in to Mediaspace to watch this video

Explores fundamental solutions in partial differential equations, highlighting their significance in mathematical applications.

Inductive Propositions: Understanding Evaluation in Coq Log in to Mediaspace to watch this video

Covers inductive propositions in Coq, focusing on evaluation rules for arithmetic expressions and their applications in defining partial and non-deterministic functions.

Hoare Logic: Foundations and Applications Log in to Mediaspace to watch this video

Covers Hoare Logic, its foundations, applications, and significance in program verification.

Implicit Functions Theorem Log in to Mediaspace to watch this video

Covers the Implicit Functions Theorem, providing a general understanding of implicit functions.

Analysis IV: Measurable Sets and Properties Log in to Mediaspace to watch this video

Covers the concept of outer measure and properties of measurable sets.

Fourier Inversion Formula Log in to Mediaspace to watch this video

Covers the Fourier inversion formula, exploring its mathematical concepts and applications, emphasizing the importance of understanding the sign.

Proofs and Logic: Introduction Log in to Mediaspace to watch this video

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Implicit Functions: Unique Solutions and Class C Functions Log in to Mediaspace to watch this video

Covers the proof of the theorem of implicit functions and the concept of class C functions.

Unclosed Curves Integrals Log in to Mediaspace to watch this video

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Neuro-symbolic Representations: Commonsense Knowledge & Reasoning Log in to Mediaspace to watch this video

Explores neuro-symbolic representations for understanding commonsense knowledge and reasoning, emphasizing the challenges and limitations of deep learning in natural language processing.

Trigonometric Polynomials: Fourier Inversion and Plancherel Formulas Log in to Mediaspace to watch this video

Explores trigonometric polynomials, emphasizing Fourier inversion and Plancherel formulas.

Differential Equations: General Solutions and Methods Log in to Mediaspace to watch this video

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Transactions: Concepts and Implementations Log in to Mediaspace to watch this video

Explores the elegance and challenges of transactions, including ACID properties and transactional memory benefits in concurrent programming.

Transforms of the Place Log in to Mediaspace to watch this video

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.

Error Analysis and Interpolation Log in to Mediaspace to watch this video

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Measure Concentration Proof Log in to Mediaspace to watch this video

Explores the proof of measure concentration using Laplace transform methods and demonstrates its application through examples and propositions.

Model Analysis Log in to Mediaspace to watch this video

Explores neural model analysis in NLP, covering evaluation, probing, and ablation studies to understand model behavior and interpretability.

Heat Equation: Separation of Variables Log in to Mediaspace to watch this video

Covers the application of separation of variables method to solve the heat equation.

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