Breaking Math Podcast

• Dots and Lines: Hidden Networks

  In this conversation, Autumn and Dr. Anthony Bonato explore the fascinating world of networks, discussing their significance in various fields, including mathematics, social interactions, and even the spread of diseases like COVID-19 in his new book Dots and Lines. Anthony shares his journey into network science, the importance of understanding networks in everyday life, and how they can reveal hidden connections. The discussion also touches on popular culture references, such as Game of Thrones and Survivor, to illustrate the practical applications of network theory. Ultimately, the conversation emphasizes the need to embrace mathematics and recognize the pervasive role of networks in our lives.Takeaways Networks are fundamental to understanding complex systems. The COVID-19 pandemic highlighted the importance of network science. Mathematics encompasses more than just numbers and shapes. Personal experiences can lead to profound realizations about networks. Everyday life is filled with examples of networks in action. Game of Thrones and Survivor serve as engaging examples of network analysis. The Bacon number illustrates connections in Hollywood. Erdős number connects mathematicians through collaboration.Chapters 00:00 The Inspiration Behind the Book 03:38 Understanding Networks: A New Perspective 06:13 Networks in Everyday Life 08:28 The Power of Networks in Society 11:03 Real-World Applications of Network Science 13:32 Pop Culture and Network Analysis 15:38 The Bacon Number and Network Connections 21:53 The Bacon Number and Small World Phenomenon 26:34 Network Embeddings and Their Applications 31:04 Graph Theory: Patterns and Connections 35:11 The Importance of Mathematics in Everyday Life 36:57 Introduction and Curiosity in ConnectionsFollow Anthony on Twitter, and on his Website Subscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: [email protected]

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• Robin Hood Math

  In this episode of Breaking Math, Dr. Noah Giansiracusa discusses his book 'Robin Hood Math', emphasizing the importance of mathematical literacy in navigating an algorithm-driven world. He explores how math can empower everyday people, the writing process behind his book, and practical applications of math in daily life, including social media algorithms and financial decisions. The conversation highlights the simplicity of the math that truly matters and encourages listeners to reclaim agency through understanding mathematics.Takeaways Math is a powerful tool that can empower individuals. The concept of Robin Hood Math aims to redistribute mathematical knowledge. Mathematical literacy is becoming as essential as reading. Algorithms are deeply embedded in our daily lives, influencing decisions. Understanding expected value can improve decision-making. Averaging guesses can lead to better predictions. Social media algorithms prioritize engagement, affecting content visibility. Credit scores are calculated using weighted sums of various factors. Many important mathematical concepts are simpler than they appear. Mathematical literacy can help close equity gaps in society.Chapters 00:00 Monetizing Social Media for Educators 02:25 The Birth of Robin Hood Math 05:18 Empowering the Everyday Person with Math 08:01 The Writing Process and Surprising Discoveries 10:37 Practical Math Lessons for Everyday Life 13:22 Understanding Algorithms in Social Media 21:56 Understanding Engagement Algorithms 24:28 The Impact of Mathematics on Financial Decisions 29:54 Empowering Through Mathematical Literacy 32:23 Exploring Key Themes in MathematicsFollow Noah on Twitter, BlueSky, Instagram, LinkedIn and on his WebsiteSubscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: [email protected]

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• What are Swim Training Patterns?

  In this conversation, Dr. Christoph Bartneck discusses the intersection of swimming and computer science, exploring how mathematical patterns can enhance swim training. He introduces the concept of a formal swim markup language to improve data exchange and training efficiency. The discussion also delves into the visualization of swimming techniques, the importance of mental engagement in training, and the aesthetic appeal of mathematics. Christoph shares insights on the challenges of writing his book and his vision for creating a global community around swimming and mathematics.Takeaways Programming languages can optimize swim training. There's a gap in literature between math and sports science. Data exchange in swimming training is challenging. Visualizing swimming techniques aids in understanding. Mathematical patterns can enhance training routines. Repetitive tasks in swimming can be likened to repetitive songs. Engagement in training is crucial for success. Chapters 00:00 The Motivation Behind Swim Training Patterns 02:32 Intersection of Swimming and Computer Science 05:56 Challenges in Measuring and Documenting Swim Performance 09:32 The Role of Patterns in Swim Training 11:54 Mathematical Patterns and Their Application in Swimming 15:14 Exploring Repetitiveness in Music and Swim Training 18:08 Art Projects and Mathematical Patterns 21:13 Fermat's Theorem and Impossible Squares 23:14 Making Math Accessible in Swim Training 26:40 The Importance of a Shared Language in Coaching 27:35 Applying Pattern-Based Approaches to Sports 29:17 The Role of Structure in Training Across Sports 30:02 Current Use of Frameworks in Elite Swimming 30:10 Innovative Training Philosophies in Swimming 32:30 Programming Languages and Their Applications in Sports Science 34:56 The Joy of Writing and Creating 38:59 Challenges in Writing and Communicating Mathematical Concepts 41:37 The Journey of a Book and Community EngagementFollow Christoph on his YouTube Channel and on bartneck.de. Subscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: [email protected]

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• AI Ethics: Algorithms Go To College

  In this episode of Breaking Math, Autumn explores the complex world of AI ethics, focusing on its implications in education, the accuracy of AI systems, the biases inherent in algorithms, and the challenges of data privacy. The discussion emphasizes the importance of ethical considerations in mathematics and computer science, advocating for transparency and accountability in AI systems. Autumn also highlights the role of mathematicians in addressing these ethical dilemmas and the need for society to engage critically with AI technologies.Takeaways AI systems can misinterpret student behavior, leading to false accusations. Bias in AI reflects historical prejudices encoded in data. Predictive analytics can help identify at-risk students but may alter their outcomes. Anonymization of data is often ineffective in protecting privacy. Differential privacy offers a way to share data while safeguarding individual identities. Ethics should be a core component of algorithm design. The impact of biased algorithms can accumulate over time. Mathematicians must understand both technical and human aspects of AI. Society must question the values embedded in AI systems. Small changes in initial conditions can lead to vastly different outcomes.Chapters 00:00 Introduction to AI Ethics 02:14 The Accuracy and Implications of AI in Education 04:14 Bias in AI and Its Consequences 05:45 Data Privacy Challenges in AI 06:37 Mathematical Solutions for Ethical AI 08:04 The Role of Mathematicians in AI Ethics 09:42 The Future of AI and Ethical ConsiderationsSubscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: [email protected]

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• Random Shuffle Isn't Random At All

  In this episode, we explore the intricate mathematics behind Sp0tify's (ok... and other's) shuffle feature, revealing how it is designed to feel random while actually being carefully curated. We discuss the psychological implications of randomness, the Fisher-Yates shuffle algorithm, and how engineers have created a system that respects human perception of randomness. The conversation delves into the philosophical aspects of curated randomness and the broader implications of mathematical principles in technology and human experience.Takeaways The shuffle feature is not truly random. Humans struggle to recognize true randomness due to cognitive biases. The Fisher-Yates shuffle algorithm is a standard for randomization. Uses psychological techniques to enhance user satisfaction with shuffle. Dithering is a method used to create a perception of randomness. Shuffle feature analyzes multiple dimensions to optimize song selection. The algorithm incorporates noise to maintain unpredictability. Curated randomness is prevalent in various technologies beyond music. Humans prefer sequences with fewer clusters to feel more random. Mathematics can reveal insights into human behavior and preferences.Chapters00:00 The Hidden Mathematics of Spotify Shuffle05:56 The Art of Psychological Randomness07:58 Philosophical Implications of Curated RandomnessSubscribe to Breaking Math wherever you get your podcasts.Become a patron of Breaking Math for as little as a buck a monthFollow Breaking Math on Twitter, Instagram, LinkedIn, Website, YouTube, TikTokFollow Autumn on Twitter and InstagramBecome a guest hereemail: [email protected]

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