Sets and Operations: Introduction to Mathematics

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Related lectures (34)

Introduction to Analysis Log in to Mediaspace to watch this video

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Discrete Mathematics: Logic, Structures, Algorithms Log in to Mediaspace to watch this video

Covers the basics of discrete mathematics, focusing on logic, structures, and algorithms for computer systems.

Mathematics: Sets and Functions Log in to Mediaspace to watch this video

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Untitled Log in to Mediaspace to watch this video

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.

Untitled Log in to Mediaspace to watch this video

Partial Derivatives and Differential Equations Log in to Mediaspace to watch this video

Covers partial derivatives, differentiability, differential equations, sets properties, and local extrema verification.

Algebraic Structures and Integers Log in to Mediaspace to watch this video

Covers algebraic structures, crystal planes with Miller indices, and coprime numbers.

Residue Theorem: Calculating Integrals on Closed Curves Log in to Mediaspace to watch this video

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

SR and D Latches: Logic Systems Log in to Mediaspace to watch this video

Covers the implementation of SR and D latches and flip-flops.

Resolving Operators: Closedness and Injectivity Log in to Mediaspace to watch this video

Discusses resolving operators' closedness and injectivity in Banach spaces.

Beam Bending: Elasticity, Stress Tensor, Strain Tensor Log in to Mediaspace to watch this video

Covers stress and strain tensors, elasticity, and digital image correlation for quantifying strain fields.

Joint Equidistribution of CM points Log in to Mediaspace to watch this video

Explores the equidistribution of CM points in toral sets with periodic measures and compact abelian varieties.

Singular Value Decomposition, Pseudoinverse Log in to Mediaspace to watch this video

Covers Singular Value Decomposition and Pseudoinverse, explaining their applications in data compression and linear systems.

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