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.
 * Probability theory allows AI to express uncertainty in predictions.
 * AI applications include medical diagnostics and financial algorithms.
 * Self-driving cars use mathematics to navigate and make decisions.
 * Mathematical literacy is crucial in an AI-driven world.
 * Understanding AI's math gives individuals agency in technology.



Chapters: 

00:00 The Mathematical Heart of AI

03:28 Mathematics in Action: Real-World Applications

05:33 Empowerment Through Understanding Mathematics

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Algorithms & AI Simplified - The Not So Mathy Version

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 effort to standardize post-quantum cryptographic algorithms.
 * Lattice-based algorithms are promising for post-quantum cryptography due to their efficiency.
 * Businesses must be proactive in transitioning to post-quantum cryptography.
 * The Harvest Now, Decrypt Later threat highlights the urgency of transitioning.
 * Quantum key distribution offers theoretically perfect security.
 * Different cryptographic algorithms are needed for various applications and devices.
 * The future of cryptography will rely on new mathematical challenges to ensure security.

Keywords

quantum computing, cryptography, post-quantum cryptography, NIST, cybersecurity, Shor's algorithm, digital signatures, lattice-based algorithms, encryption, quantum threats

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What is Cryptography?

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.

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We Live in a Radioactive World: What is Dosimetry?

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.

All opinions are of the individual scientist and do not reflect the opinions of NIST or the federal Government.

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What is Life?

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.

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Fire Science: What are Photoacoustic Measurements?

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.

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What is Time?

Summary

This 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.

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What is Measurement?

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 end of this episode, you’ll understand how strategic use of data can drive lasting change and help us build a world where energy is not a privilege but a right accessible to all.

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Follow Dr. Destenie Nock on LinkedIn [https://www.linkedin.com/in/desdes/] and on her website [https://destenienock5.wixsite.com/destenienock]. Check out Peoples Energy Analytics [https://www.peoplesenergyanalytics.com/] as well.

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How Analytics Can Revolutionize Affordable Energy

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, showing how unpredictable weather can be.

Financial Markets: A reminder of the chaotic, complex forces that drive economic shifts and unpredictability.

Human Physiology: Chaos theory sheds light on natural processes, like the variability of heart rhythms.

Fractals: These intricate patterns showcase self-similarity and are visually striking examples of chaos in nature.

Philosophical Implications: Embracing chaos and uncertainty equips us to be more adaptable and creative.

Life's Unpredictability: A reflection of chaotic systems, reminding us to value flexibility.   Interconnectedness: Understanding chaos theory enhances our appreciation of how interwoven our world truly is.

Keywords: Chaos Theory, Butterfly Effect, Weather Forecasting, Economics, Fractals, Unpredictability, Complex Systems, Human Physiology, Philosophical Implications, Adaptability.

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What is Chaos Theory?

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 education, natural language processing, LLM hackathon, scientific research, molecular properties, Digital Discovery Journal, Jablonka

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AI in the Lab: How GPT-4 is Changing Molecules and Models

Hosted by Gabriel Hesch and Autumn Phaneuf, who have advanced degrees in electrical engineering and industrial engineering/operations research respectively, come together to discuss mathematics as a pure field all in its own as well as how it describes the language of science, engineering, and even creativity.  

Breaking Math brings you the absolute best in interdisciplinary science discussions -  bringing together experts in varying fields including artificial intelligence, neuroscience, evolutionary biology, physics, chemistry and materials-science, and more -  to discuss where humanity is headed.

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Breaking Math's Show

A math podcast that explores science, creativity, and other faucets of the human experience numbers, axioms, and models.  BreakingMath.io [http://breakingmath.io/]

Breaking Math

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