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Distributions and Derivatives

Covers distributions, derivatives, convergence, and continuity criteria in function spaces.

Advanced Design of Concrete Structures

Delves into advanced concrete structure design, covering loads, slabs, beams, calculations, and corbel models.

Probability Theory: Integration and Convergence

Covers topics in probability theory, focusing on uniform integrability and convergence theorems.

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Flow Equations: Singular SPDEs and Quantum Field Theory

Covers recent research on singular SPDEs and their applications in quantum field theory.

Optimal Transport: Heat Equation and Metric Spaces

Explores optimal transport in heat equations and metric spaces.

Concrete Bridges: Design and Construction

Covers the design and construction of concrete bridges, focusing on integral bridges and potential problems.

Advanced Physics I: Orders of Magnitude

Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.

Construction of Solutions by Dirichlet-Laplace

Explores the construction of solutions by Dirichlet-Laplace in general domains.

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Quantum Computing: Qubit Testing

Covers classical testing of qubits, including measuring in different bases and obtaining uniform results.

Distribution & Interpolation Spaces

Covers the concept of distributions with compact support and their interpolation spaces.

Analysis IV: Convolution and Hilbert Structure

Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.

Meromorphic Functions & Differentials

Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.

Linear Differential Equations: Second Order Solutions

Covers second-order linear differential equations, focusing on their solutions and the concept of linear independence among them.

Theoreus Chain Role: Lipschitz Sit

Covers the Theoreus Chain Role for Lipschitz functions and its practical applications.

Construction of Interior and Exterior Measures

Explores the construction of measures, focusing on positive functionals and their properties in measure theory.

Homogeneous Solutions: Linear Independence

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Correctness and Soundness of the Qubit Test

Explores the correctness and soundness of the Qubit Test, emphasizing probabilistic algorithms, trapdoors, and function inversion.

Manifolds: Charts and Compatibility

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.