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Lecture
Implementation of Sets (II)
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Implementation of Sets: Hashing
Covers the implementation of sets using hashing and set operations.
Implementation of Sets (I)
Covers the implementation of sets, starting with a naive list-based approach.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Functions: Definitions and Notations
Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.
Cartesian Product and Induction
Introduces Cartesian product and induction for proofs using integers and sets.
Linear Algebra: Sets and Operations
Introduces fundamental concepts of linear algebra, focusing on sets and operations.
Mathematics: Sets and Functions
Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.
Abbreviated Calculation: Structures and Sets
Covers abbreviated calculation, structures, operations, and unique set properties.
Sets and Proofs
Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.
Data Structures: Tuples, Sets, Dictionaries
Explores tuples, sets, and dictionaries in Python, covering immutability, uniqueness, and key-value pairs.