Breaking Math Podcast

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 netwo

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 calcul

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 S

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

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 random

This conversation explores the intricate relationship between mathematics and artificial intelligence (AI) for people who don't want to get too math heavy and want things simplified as much as possible. It delves into how algorithms, machine learning, and various mathematical tools like linear algebra, calculus, and statistics form the backbone of AI technologies. The discussion highlights real-world applications of AI, the ethical implications of its use, and the importance of mathematical literacy in an increasingly AI-driven world. Ultimately, it emphasizes that understanding the mathematical foundations of AI empowers individuals to engage meaningfully with technology and its impact on society.Takeaways: Mathematics powers seemingly magical technologies like AI. Algorithms are sets of instructions that guide AI processes. Machine learning finds patterns in data through trial and error. Linear algebra organizes data into vectors and matrices. Calculus helps AI find optimal solutions to problems. Prob

This conversation delves into the intersection of quantum computing and cryptography, focusing on the implications of quantum computers for current encryption methods and the necessity for post-quantum cryptography. Dr. Dustin Moody from NIST discusses the threats posed by quantum computing, particularly through Shor's algorithm, and the ongoing efforts to develop new cryptographic standards that can withstand these threats. The discussion also covers the role of NIST in standardizing post-quantum algorithms, the mathematical challenges involved, and the importance of preparing businesses for the transition to these new systems. All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.Takeaways Quantum computers harness principles of quantum physics for computation. Shor's algorithm can efficiently factor large numbers, threatening RSA encryption. Post-quantum cryptography aims to develop algorithms resistant to quantum attacks. NIST is leading the eff

In this episode,  Autumn interviews Dr. Ileana Pazos, an expert in dosimetry, discussing the critical role of radiation measurement in various industries, including healthcare and food safety. They explore the science behind dosimetry, the applications of radiation, the challenges faced in accurate measurements, and the misconceptions surrounding food irradiation. Ileana emphasizes the importance of public education and the need for global standards in radiation measurement, while also sharing her personal connection to the field and the future of radiation technologies.All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.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: breakingmathpodcast@gmail.com

In this conversation, Dr. Elizabeth Strychalski discusses the fascinating field of synthetic biology, particularly focusing on synthetic cells. She shares her journey into this research area, the challenges of defining life, and the ethical considerations surrounding synthetic biology. The conversation also explores the potential applications of synthetic cells in environmental science and medicine, as well as the importance of engineering standards and biomanufacturing for sustainability. Dr. Strychalski emphasizes the need for collaboration and communication in the scientific community to advance this field responsibly and effectively.You can learn more about Time at time.gov and NIST at nist.gov.All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.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, TikTokFollo

In this episode of Breaking Math, hosts Autumn and Gabriel explore the innovative intersections of fire science and technology with experts Amy Mensch and Ryan Falkenstein-Smith who work at NIST. They discuss the groundbreaking photoacoustic technique for measuring soot deposition, its applications in fire safety and forensic investigations, and the broader implications for fire research. The conversation highlights the importance of integrating advanced technologies into firefighting and the potential for future developments in the field.You can learn more about Time at time.gov and NIST at nist.gov.All opinions are of the individual scientist and do not reflect the opinions of  NIST or the federal Government.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: breakingmathpodcast@gmail.com

In this episode of Breaking Math, Autumn and Andrew Novick delve into the intricate world of timekeeping, exploring the significance of precise time measurement in modern technology. They discuss the evolution from traditional atomic clocks to cutting-edge optical clocks, the critical role of time in various industries, and the implications of time on fundamental physics, including Einstein's theories. The conversation also touches on the quirky concept of leap seconds and the future advancements in timekeeping technology, emphasizing the relative nature of time and its perception.You can learn more about Time at time.gov and NIST at nist.gov.All opinions are of the individual scientist and do not reflect the opinions of  NIST or the federal Government.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 InstagramFollow Gabe on Twi

SummaryThis episode of Breaking Math explores the fundamental concept of measurement, its importance in daily life, and the necessity for standardized units. The discussion highlights the role of the International System of Units (SI) and the National Institute of Standards and Technology (NIST) in maintaining measurement accuracy. It also touches on historical measurement failures and the evolution of measurement definitions, emphasizing the future of measurement in technology and science.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 InstagramFollow Gabe on Twitter.Become a guest hereemail: breakingmathpodcast@gmail.com

In this episode, Dr. Destine Nock, CEO of Peoples Energy Analytics and a Professor at Carnegie Mellon University, joins Autumn to dive deep into the world of energy equity. They explore how cutting-edge data analytics are revolutionizing the landscape of affordable energy access. As the global demand for sustainable energy solutions continues to grow, the need to ensure fair and inclusive energy distribution becomes more critical than ever. Together, our hosts break down how data-driven insights are being leveraged to develop and implement policies that make energy more accessible to underserved communities, tearing down socioeconomic barriers and paving the way for a more equitable future.Dr. Nock and Autumn discuss the powerful role that advanced analytics play in everything from analyzing consumption patterns to optimizing renewable energy distribution. They explore real-world case studies, highlight key initiatives, and speak with experts who are at the forefront of these transformative efforts. By the en

In this captivating episode of Breaking Math, hosts Gabriel and Autumn dive deep into chaos theory—a fascinating branch of mathematics that explores the behavior of complex systems highly sensitive to initial conditions. They break down the butterfly effect, revealing how tiny variations can lead to major consequences and discuss the inherent unpredictability in weather forecasting and the financial markets. The episode also uncovers chaos theory’s influence on human physiology, such as heart rate variability, and the mathematical beauty of fractals. Additionally, the hosts explore philosophical viewpoints, emphasizing how accepting life’s uncertainties can foster adaptability and resilience.Key Takeaways:Chaos Theory: Small actions can trigger significant outcomes, impacting everything from nature to human-made systems.Butterfly Effect: Demonstrates how tiny differences in initial conditions can lead to vastly different outcomes.Weather Forecasting: An excellent real-world illustration of chaos theory, showi

In this episode of Breaking Math, we dive deep into the transformative power of large language models (LLMs) like GPT-4 in the fields of chemistry and materials science, based on the article "14 examples of how LLMs can transform materials science and chemistry: a reflection on a large language model hackathon" by Jablonka et al. from the Digital Discovery Journal. Discover how AI is revolutionizing scientific research with predictive modeling, lab automation, natural language interfaces, and data extraction from research papers. We explore how these models are streamlining workflows, accelerating discovery, and even reshaping education with personalized AI tutors.Tune in to learn about real-world examples from a hackathon where scientists used LLMs to tackle some of the most pressing challenges in materials science and chemistry—and what this means for the future of scientific innovation.Keywords: GPT-4, large language models, AI in chemistry, AI in materials science, predictive modeling, lab automation, AI

In this episode of Breaking Math, we explore the unexpected link between sheep herding and fluid dynamics!  Did you know that the way sheep move in a herd is governed by the same mathematical principles as water flowing in a river? By following simple rules of alignment, cohesion, and separation, sheep create a coordinated, fluid-like movement that scientists can model to predict behavior.Join us as we break down how these principles apply not only to animal herds but also to real-world applications like robotics, autonomous vehicles, and crowd management. Whether you're a math lover, curious about animal behavior, or fascinated by the science behind traffic flow, this episode reveals the incredible power of mathematics in nature. Don’t forget to subscribe for more insights into the surprising connections between math and the world around us!Timestamps:00:00 - Introduction to Sheep Herding and Fluid Dynamics02:15 - What is Fluid Dynamics?06:30 - How Sheep Behave Like Particles in a Fluid10:45 - Mathemati

In this exciting episode of Breaking Math, we explore the groundbreaking discovery of the largest prime number ever found—M136279841, a Mersenne prime with over 41 million digits! Join us as we dive deep into the story behind this astonishing mathematical achievement, led by Luke Durant, a volunteer from the Great Internet Mersenne Prime Search (GIMPS) project.Discover how Mersenne primes work, why they’re so important to the world of mathematics, and how cutting-edge technology like GPUs has revolutionized the search for these massive numbers. We also discuss the critical role that prime numbers play in cryptography and online security, making this discovery relevant far beyond just the realm of theoretical mathematics.Learn about the global collaborative effort that made this record-breaking discovery possible, and find out how you can join the hunt for the next giant prime! Whether you're a math enthusiast, a tech geek, or just curious about the wonders of numbers, this episode is packed with insights that

In this episode of Breaking Math, hosts Gabriel Hesch and Autumn Phaneuf dive into the cutting-edge world of Generative Flow Networks (GFlowNets) and their role in artificial intelligence and material science. The discussion centers on how GFlowNets are revolutionizing the discovery of new materials for carbon capture, offering a powerful alternative to traditional AI models. Learn about the mechanics of GFlowNets, their advantages, and the groundbreaking results in developing materials with enhanced CO2 absorption capabilities. The episode also explores the future potential of GFlowNets in AI-driven material discovery and beyond, emphasizing their transformative impact on carbon capture technology and sustainable innovation.Become a patron of Breaking Math for as little as a buck a monthYou can find the paper “Discovery of novel reticular materials for carbon dioxide capture using GFlowNets” by Cipcigan et al in Digital Discovery Journal by the Royal Society of Chemistry.Follow Breaking Math on Twitter, Inst

Explore the intriguing intersection of science and spiritualism in the Victorian era. This episode uncovers how prominent scientists like Michael Faraday, William James, and Marie & Pierre Curie engaged with supernatural phenomena and the rise of spiritualism. Discover the scientific efforts to debunk or understand paranormal activities, and how these investigations shaped modern science. Dive into the fascinating legacy of this 19th-century movement and its lasting impact on today's scientific inquiries into the unknown. Perfect for fans of history, science, and the supernatural.Keywords: Victorian era, spiritualism, science, supernatural, Michael Faraday, William James, Alfred Russell Wallace, Curies, Eleanor Sidgwick, idiomotor effect 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 InstagramFollow Gabe on Twitter.Become a guest hereemail: breakingmathpodcast@gmail.com

In this episode of Breaking Math, hosts Autumn and Gabriel dive deep into the complex relationship between artificial intelligence (AI) and consciousness. They explore historical perspectives, engage in philosophical debates, and examine the ethical implications of creating conscious machines. Topics include the evolution of AI, challenges in defining and testing consciousness, and the potential rights of AI beings. The episode also touches on the Turing Test, strong AI vs. weak AI, and concepts like personhood and integrated information theory. Join us as we reflect on the nature of consciousness, AI ethics, and the responsibilities tied to advanced AI technology.Keywords: AI, consciousness, Turing test, strong AI, weak AI, ethics, philosophy, personhood, integrated information theory, neural networksBecome 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 InstagramFollow Gabe on Twitter.Become a