Concept

Lemma (mathematics)

Related lectures (30)

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

Explores rounding the relaxation and Max Sum Diversification, discussing effects, integral solutions, and loss bounds.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers Burnside's Lemma, Schur Lemmas, and their proofs in group theory and quantum mechanics.

Explores optimal transport in heat equations and metric spaces.

Covers the proof of the properties of Sylp(a) and their implications on different elements.

Explores the distortion of the Hamming cube and the effects of flipping individual bits.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores the Ito Lemma and its variants, discussing localization and proof techniques.

Explores distribution and interpolation spaces, showcasing their importance in mathematical analysis and the computations involved.

Covers strong normalization, error handling, and typing rules for Calculi design.

Explores the effective version of the explicit formula in Number Theory, focusing on smooth functions and integral calculations.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Explores the non-degenerate limit for An(x) as n approaches infinity.

Covers the transfer of model structures through adjunctions in the context of model categories.

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

Explores the phase diagram of the Ising model, focusing on Gibbs state uniqueness and critical temperatures.

Covers the proof of the main lemma and its mathematical properties.

Explores the properties and applications of logarithmic embeddings in number fields.

Explores the application of Schur's Lemmas in physics, emphasizing operator properties and vector actions.