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Related lectures (24)
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Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Hadamard Factorisation
Covers the Hadamard factorisation theorem for entire functions of order at most 1.
Simplicial and Cosimplicial Objects: Examples and Applications
Covers simplicial and cosimplicial objects in category theory with practical examples.
Mathematics: Sets and Functions
Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.
Algebraic Structures: Groups and Rings
Introduces algebraic structures essential for understanding mathematical objects used in science and engineering.
Counting: Combinations and Permutations
Covers the concepts of combinations and permutations in counting scenarios.
Heterogeneous Catalysis: Adsorption & Kinetics
Explores adsorption mechanisms, elementary kinetics, active sites, and transport effects in heterogeneous catalysis.
Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Linear Algebra: Sets and Operations
Introduces fundamental concepts of linear algebra, focusing on sets and operations.
Symmetric Group and Cycle Decomposition
Explores the Symmetric group, cycle decomposition, Orbit-Stabilizer theorem, and properties of cycles and transpositions.