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Related lectures (30)
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Distance Axioms
Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.
Regular Curves: Parametrization and Tangent Vectors
Explores regular curves, examples like segments and functions, and curvilinear integrals along regular curves.
Curves: Parameterized Curves and Tangent Vectors
Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.
Compression: Kraft Inequality
Explains compression and Kraft inequality in codes and sequences.
Volume of Rotated Solids
Covers the calculation of volumes of rotated solids and arc length for functions and graphs.
Circular Trigonometry: Understanding Geometric Angles
Explores the concept of angles in circular trigonometry, emphasizing geometric angles and their properties.
Trampoline: Analyzing Vertical Motion of a Mass-Spring System
Discusses the analysis of vertical motion of a mass-spring system.
Smooth Piecewise Arcs Integration
Covers smooth piecewise arcs integration and the importance of closed paths.
Length of Curves and Tangent Vectors
Covers the calculation of the length of curves and the properties of tangent vectors.
Distance and geodesics: Distance, geodesics and complete manifolds
Covers the concept of distance induced by the Riemannian metric on manifolds.