Word Embeddings: Pytorch Basics and Evaluation

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NLP Pre-processing: Tokenization, Stop Words, Lemmatization

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Introduction to Continuum Mechanics

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Intersection of Manifolds in Exercise 8.2

Covers the intersection of manifolds in exercise 8.2 and fiscal year 8.8.

Tensor Analysis: Coordinate Systems

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Tucker Decomposition: Multilinear rank and applications in data compression

Covers the Tucker decomposition and its applications in data compression, explaining the notion of multilinear rank and the HOSVD method.

Algorithmic Complexity: Travel Time Analysis

Covers control operations, algorithmic complexity, function calls, and travel time analysis.

Boolean Types and Control Structures

Explores boolean types, logical operators, and control structures in Python, emphasizing the evaluation of expressions and the use of relational operators.

Stress and Strain: Generalization to 3D

Covers stress equilibrium, strain, and the generalization of stress to 3D, introducing Hooke's Law and analyzing structures with axial loads.

Tensors and Lorentz Transformations

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.