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Topologies on spaces of linear maps
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Linear Applications: Bases and Dual Spaces
Explores bases, dual spaces, and linear applications in linear algebra.
Group representations constructions
Explores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.
Linear Applications: Properties and Examples
Explores properties of linear applications, including symmetric matrices and linearity in analysis.
Comparing Tangent Vectors: Parallel Transport
Explores comparing tangent vectors and parallel transport on manifolds.
Smooth Manifolds: Diffeomorphisms
Explores smooth manifolds through diffeomorphisms and embedded submanifolds in a linear space.
Advanced Linear Algebra: Matrices Conjugation and Equivalence
Explores matrices conjugation, equivalence, and similarity in advanced linear algebra.
Linear Maps and Bases: The Rank Theorem
Covers bijective linear maps, invertibility of matrices, isomorphisms, and the rank theorem.
Gradients on Riemannian submanifolds, local frames
Discusses gradients on Riemannian submanifolds and the construction of local frames.
The Borgna-Converter
Introduces the innovative Borgna-Converter, a high-efficiency CCP converter suitable for various power levels and topologies.
Hessians, Symmetry and Examples: Sphere, Stiefel
Covers Hessians, symmetry, and examples related to vector fields, functions, and manifolds.
Kernel, Image and Linear Maps
Explains kernel, image, and linear maps, illustrating concepts with examples.
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