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Lecture
Turing Machines: Recursive Languages
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Universal Turing Machine: Definition and Functioning
Explores the universal Turing machine, its canonical representation, and its role in defining algorithms and theoretical computer science concepts.
Regular Expressions: Basics and Applications
Introduces regular expressions, covering language sets, syntax, semantics, and limitations.
Turing Machine Example: Testing for Even Numbers
Demonstrates a Turing machine testing for even numbers using binary input.
Problems and Languages: Regular Languages
Covers regular languages, encoding, alphabets, words, languages, concatenation, exponentiation, and iterative closure.
Dijkstra's Algorithm: All-Pairs
Covers Dijkstra's algorithm and its application to the all-pairs shortest path problem.
Designing Spaces: Movement and Architecture
Explores the relationship between movement and architecture, focusing on the collaboration between choreographers and designers.
Reformulating Problems: Tools and Intuition
Focuses on open problems and the importance of reformulating problems with better tools and intuition.
Theory of Computation: Decidability and Complexity
Delves into the theory of computation, covering decidability, complexity, P vs. NP, and reductions.
Halting Problem: Unsolvable Problems
Explores the unsolvability of the halting problem in algorithms and the limitations of procedures in determining program halting.
LED, Light and Color
Covers the energy and radiation of LEDs, transitions in energy levels, and color synthesis.