• Connected Components of Chaos

  • By: AmCan Tech
  • Podcast

Connected Components of Chaos

By: AmCan Tech
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  • Summary

  • A podcast where logic meets lunacy, and graphs guide the way through the madness! Join us as we explore the beautiful intersections of mathematical logic, graph theory, discrete math, computer science, and the quirky chaos of everyday life. From proving theorems to untangling graph traversals, we’ll connect seemingly random dots to create a web of ideas that’s as entertaining as it is enlightening.
    AmCan Tech
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Episodes
  • Recurrence Equations and Asymptotic Notation

    Recurrence Equations and Asymptotic Notation
    Dec 15 2024
    This episodes presents methods for solving recurrence equations, which are crucial for analyzing the time complexity of recursive algorithms. It introduces asymptotic notations (Big O, Big Omega, Big Theta, little o, little omega) to describe the growth of functions. The lecture then explores several techniques for solving recurrences, including the substitution method, iteration method (and recursion trees), the Master Theorem, and solving homogeneous and non-homogeneous linear recurrences. Specific examples such as merge sort, binary search, and the Towers of Hanoi are used to illustrate these techniques. Finally, the limitations of the Master Theorem are discussed, along with strategies for handling cases where it is not applicable.
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    20 mins
  • Physics and Computer Science

    Physics and Computer Science
    Nov 30 2024
    The 2024 Nobel Prize in Physics was awarded to John Hopfield and Geoffrey Hinton for their foundational work on artificial neural networks (ANNs). The award citation highlights their contributions to machine learning, linking ANNs to concepts in physics, such as spin models and statistical mechanics. Hopfield's research focused on recurrent networks and their applications in associative memory and optimization, while Hinton's work involved stochastic models like the Boltzmann machine and advancements in deep learning techniques. Their combined efforts revolutionized the field, leading to widespread applications across various scientific disciplines and everyday technologies.
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    13 mins
  • Combinatorics: Counting and Permutations

    Combinatorics: Counting and Permutations
    Nov 26 2024
    This episode focuses on fundamental counting principles. It covers the product rule, sum rule, and subtraction rule for counting the number of ways to perform tasks that can be broken down into subtasks. Additionally, it explores the pigeonhole principle, counting in two different ways, and the relationship between permutations and combinations.
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    21 mins

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