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Essential singularity
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Related lectures (32)
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Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Residue Theorem: Calculating Integrals on Closed Curves
Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.
Optimization Theorem: Lagrange and Integrals
Explores Lagrange's optimization theorem, integration bounds transformation, and singularity removal.
Singularity Container Setup for Jupyter Notebook
Covers the setup of a Singularity container to run a Jupyter notebook, including SSH connections and software announcements.
Mixing Time Changes of Nilflows
Delves into mixing time changes in nilflows, emphasizing the delicate nature of mixing and its dependence on singularities.
Numerical Methods for Physics: Iterative Solutions and Mesh Convergence
Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.
Curves in Space: Singularities and Developments
Covers curves in space, including singularities, Frenet frame, and development curves.
Singularity Functions: Integration Method
Introduces singularity functions to analyze beam bending and calculate shear and bending moments.
Laurent Series: Analysis and Applications
Explores Laurent series, regularity, singularities, and residues in complex analysis.
Principal Value of an Integral: Examples
Covers examples of principal value of an integral with sin functions and singularities.