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Related lectures (27)
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Invariant Definitions
Explores invariant definitions in sets, groups, and automorphisms, including p-divisible groups and free abelian groups.
Linear Algebra: Sets and Propositional Language
Covers sets, propositional language, reading, writing, containment, and cardinality.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Linear Algebra: Properties and Sets
Covers the properties and sets related to linear algebra, emphasizing the importance of understanding these concepts.
Linear Algebra: Applications and Definitions
Covers the definition of applications, image of elements, and direct and reciprocal images.
Cartesian Product and Equivalence Classes
Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.
Group Theory Fundamentals
Introduces the basics of group theory, defining groups, categories, and groupoids.
Sets and Relations
Introduces sets, Cartesian product, order importance, and relations on sets.
Powers, Roots, and Calculation Rules
Covers powers, roots, calculation rules, logarithmic functions, reciprocal functions, sets, and basic notations.
Analysis IV: Convolution and Hilbert Structure
Explores convolution, uniform continuity, Hilbert structure, and Lebesgue measure in analysis.