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Universal algebra
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Related lectures (7)
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Monads: Data Structures with Laws
Covers monads as data structures with specific laws and examples like List and Option.
Complex Numbers: Module and Conjugate
Covers the manipulation of algebraic laws on complex numbers.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Linear Algebra: Properties and Propositions
Explores the link between properties and variables, including contraries and propositions.
Predicate Logic: Universal and Existential Quantifier
Introduces predicate logic and explains how to determine truth values using quantifiers.
Predicate Logic: Quantifiers and Normal Forms
Explores predicate logic, focusing on quantifiers and normal forms, emphasizing the importance of finding witnesses and counterexamples.
Abstract algebra and type classes
Covers abstract algebra concepts using type classes in Scala, including defining monoids, generalizing reduce functions, and typeclass laws.