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Related lectures (30)
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Curves in the Oriented Plane
Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Linear Mapping Basics
Covers the basics of linear mapping and coordinate systems.
Thermodynamic Identity: Entropy and Energy
Explores the thermodynamic identity, entropy-temperature relationship, and pressure definition, illustrating key principles with practical examples.
Curves with Poritsky Property and Liouville Nets
Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.
Quantization: Topological Operators
Covers the quantization of topological operators and Ising models on square lattices.
Curvilinear Coordinates: Calculations and Examples
Covers curvilinear coordinates and area calculations using double integrals with examples of different curves.
Basis Sets II: Types and Accuracy
Explores different types of basis sets, polarization functions, and accuracy challenges in computational chemistry.
Quantum Field Theory: Fermions and Grassmann Numbers
Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Tangent Lines and Equality
Explores the intersection multiplicity of curves and the absence of common tangent lines.