Theta functions: Properties and Transformations

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Explores optimal transport analysis and proofs, emphasizing weak convergence and compactness.

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Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.

Covers the definitions and notations related to functions.

Covers weak derivatives, their properties, and applications in functional analysis.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers the extension and periodicity of Fourier series and the interpretation of coefficients.