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Related lectures (30)
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Bar Construction: Homology Groups and Classifying Space
Covers the bar construction method, homology groups, classifying space, and the Hopf formula.
Equations: Degree and Solutions
Explores polynomial equations, their degree, solutions, and domain definition.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Graphical Models: Representing Probabilistic Distributions
Covers graphical models for probabilistic distributions using graphs, nodes, and edges.
Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Polynomials on a Field: Basics and Operations
Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.
Local Degrees: Calculating Maps
Delves into local degrees of continuous maps from the sphere, showcasing their role in calculating map degrees.
Gauss-Legendre Quadrature Formulas
Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.
Error Analysis and Interpolation
Explores error analysis and limitations in interpolation on evenly distributed nodes.
Functional Equation of Zeta
Covers the functional equation of zeta function and Jensen's formula in complex analysis.