Counting on Fingers

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Covers geometric projections using Monge's method, focusing on representing three-dimensional points through their orthogonal projections.

Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.

Explores Schur's lemma and its applications in representations of an associative algebra over an algebraically closed field.

Explores the evolution of projective geometry and its applications in architectural representation.

Covers the concept of Principal Components Analysis, focusing on representing data optimally in a basis.

Covers the application and proof of the Lagrange theorem in group theory.

Explores symmetry operations, isomorphic representations, and three-dimensional group representations.

Delves into Lie algebra representation and Lorentz subgroup concepts.

Explores group representations using matrices, discussing reducible vs. irreducible representations and the Great Orthogonality Theorem.