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Related lectures (31)
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Differentiating Vector Fields: Definition
Introduces differentiating vector fields along curves on manifolds with connections and the unique operator satisfying specific properties.
DC Circuits: Resistors Grouping
Explains resistor grouping in DC circuits, calculating equivalent resistance and current distribution.
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Advanced Design of Concrete Structures: Connections
Covers the advanced design of concrete structures focusing on the connections between elements.
Advanced Concrete Design: Final Project Presentations
Covers final project presentations on precast concrete design in a seismic region.
Symmetry Property: Riemannian Connection in Geometry
Explores symmetries, Riemannian connection, vector fields, and Lie bracket in geometry.
Riemannian connections: Proof sketch
Presents the fundamental theorem of Riemannian geometry and demonstrates the uniqueness of the Riemannian connection.
Comparing Tangent Vectors: Parallel Transport
Explores the definition, existence, and uniqueness of parallel transport of tangent vectors on manifolds.
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