Proofs and Refutations

Related lectures (32)

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Explores quasilocality in statistical mechanics and the existence conditions of Gibbs measures.

Explores exploration bias and generalization bound in KL divergences, emphasizing mathematical proofs and implications.

Explores Gaussian corelation inequality, Anderson's theorem, and log-concavity in probability theory.

Covers control structures, quadratic equation algorithm design, and correctness verification.

Covers 3-dimensional Anosov flows, exponential mixing, transfer operators, and equilibrium measures.

Explores Maxwell's equations in vacuum, photon scanning near-field optical microscope, light confinement, and experimental proof of light effects.

Covers absolute value, subtraction in integers, and comparisons between integers.

Explores continuity and derivability in heat analysis, emphasizing uniform convergence and mathematical proofs.

Explores theorem proving in first-order logic and the saturation-based approach, highlighting the Vampire theorem prover.

Explains the induction principle and proofs by induction with examples like 1 + 3 + 5 + ... + (2n-1) = n².