Composition of Applications in Mathematics

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Related lectures (53)

Mathematical Analysis: Functions and Composition Log in to Mediaspace to watch this video

Covers the analysis of functions, composition, and mathematical induction.

Constrained optimization: the basics Log in to Mediaspace to watch this video

Covers the basics of constrained optimization, including tangent directions, trust-region subproblems, and necessary optimality conditions.

Graph Sketching: Connected Components Log in to Mediaspace to watch this video

Covers the concept of graph sketching with a focus on connected components.

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Orthogonality and Least Squares Methods Log in to Mediaspace to watch this video

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Advanced Physics I: Orders of Magnitude Log in to Mediaspace to watch this video

Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.

Wireless Receivers: OFDM Log in to Mediaspace to watch this video

Covers the fundamentals of Orthogonal Frequency Division Multiplexing (OFDM) in wireless communication systems.

Optimal Transport: Cyclically Monotone Sets Log in to Mediaspace to watch this video

Covers cyclically monotone sets in optimal transport theory and their properties.

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Fundamental Solutions Log in to Mediaspace to watch this video

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

Linear Algebra Basics Log in to Mediaspace to watch this video

Covers the basics of linear algebra, focusing on solving systems of linear equations through operations to triangular form.

Functional Analysis I: November 18, 2021 Log in to Mediaspace to watch this video

Covers partially ordered sets, maximal elements, upper bounds, and the Zorn lemma in functional analysis.

Module Theory: Definitions and Examples Log in to Mediaspace to watch this video

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Boolean Algebra: Properties and Optimization Log in to Mediaspace to watch this video

Covers Boolean algebra properties, optimization techniques, and the importance of valid groups in Karnaugh maps.

Limits of Functions: Definitions and Examples Log in to Mediaspace to watch this video

Explains surjective, injective, and bijective functions, along with limits of functions.

Convolution: Properties and Applications Log in to Mediaspace to watch this video

Covers the concept of convolution and its properties in signal processing.

Riemann Zeta Function Log in to Mediaspace to watch this video

Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.

Equivalence Relations and Construction of R Log in to Mediaspace to watch this video

Covers the construction of R and equivalence relations in sequences and linear recurrences.

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.

Cheeger's Inequalities Log in to Mediaspace to watch this video

Explores Cheeger's inequalities for random walks on graphs and their implications.

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