Zermelo–Fraenkel set theory

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Explores set identities as analogues of logical equivalences in propositional logic.

Covers the basics of formal languages, including alphabets, words, and languages, as well as operations like concatenation and reversal.

Explores sigma fields generated by random variables and their connection to measurable functions.

Covers propositions indexed by vectors, proof by induction, and Cartesian products of sets.

Covers predicate logic and sets theory, explaining how to manipulate logical expressions.

Covers the standard properties of distance and norm in vector spaces.

Explores active learning implications in understanding group structures and symmetric actions.

Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.

Explores group actions on sets through homomorphisms and Cartesian products, illustrating their properties and equivalent definitions.

Covers the basics of set theory, including sets, elements, operations, empty sets, and defining sets based on properties.

Delves into the logit model's derivation, emphasizing the importance of the independence assumption and parameter normalization during estimation.

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