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Collections: Methods and For-Expressions
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Related lectures (28)
Combinatorial Search: For-Expressions
Explores the use of for-expressions in Scala to simplify computations and solve problems like combinatorial search and N-Queens.
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.
Sets and Operations: Introduction to Mathematics
Covers the basics of sets and operations in mathematics, from set properties to advanced operations.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
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.
Mapping Functions and Surjections
Explores mapping functions, surjections, injective and surjective functions, and bijective functions.
Linear Algebra: Bijections and Cardinality
Explores bijections in linear algebra and the concept of cardinality between sets.
Sets and Proofs
Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.
Linear Algebra: Applications and Definitions
Covers the definition of applications, image of elements, and direct and reciprocal images.
Introduction to Analysis: Understanding Real Numbers and Proofs
Covers the basics of analysis, including real numbers, proofs, sets, and operations.
Data Structures: Tuples, Sets, Dictionaries
Explores tuples, sets, and dictionaries in Python, covering immutability, uniqueness, and key-value pairs.
Abbreviated Calculation: Structures and Sets
Covers abbreviated calculation, structures, operations, and unique set properties.
Linear Algebra: Cardinality and Mapping
Introduces cardinality and mapping in linear algebra, illustrating concepts with examples and visual aids.
Linear Algebra: Properties and Sets
Covers the properties and sets related to linear algebra, emphasizing the importance of understanding these concepts.
Combinatorial Search Example
Covers sets in Scala, N-Queens problem, and recursive algorithms.
Linear Algebra: Sets and Subsets
Covers the fundamental concepts of sets and subsets in linear algebra, including operations and properties.
Linear Algebra: Sets and Propositional Language
Covers sets, propositional language, reading, writing, containment, and cardinality.
Cartesian Product and Equivalence Classes
Covers the Cartesian product of sets and binary relations with detailed examples and graphical representations.
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