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Related lectures (31)
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Functor Categories Composition and Induced Functors
Explores composition of functors, induced functors, and preservation of commutative diagrams in category theory.
Categories and Functors: An Introduction
Provides an overview of categories, functors, and natural transformations in mathematics.
Linear Transformations and Change of Bases
Covers linear transformations, change of bases, and diagonalization of matrices.
Free Abelian Group: Construction and Properties
Explores the construction and properties of the free abelian group FAb(X) and its categorical extensions.
Untitled
Existence of Left Derived Functors
Explores the existence of left derived functors in homotopical algebra, focusing on isomorphism conditions and natural transformations.
Back-propagation: Understanding Neural Networks
Explains back-propagation in neural networks, updating weights based on errors and evaluating networks through training and test losses.
Linear Algebra: Bases and Transformations
Covers bases, transformations, and matrix decompositions in linear algebra.
Tangent Spaces and Submersions
Covers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.
Matrices and Change of Bases
Explores matrices, change of bases, eigenvectors, eigenvalues, and vector spaces.
Material and Energy Balances
Explores material and energy balances in chemical engineering for process optimization and design.
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