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PODCAST

Breaking Math Podcast

Breaking Math is a deep-dive science, technology, engineering, AI, and mathematics podcast that explores the world through the lens of logic, patterns, and critical thinking. Hosted by Autumn Phaneuf, an expert in industrial engineering, operations research and applied mathematics, and Gabriel Hesch, an electrical engineer (host from 2016-2024) with a passion for mathematical clarity, the show is dedicated to uncovering the mathematical structures behind science, engineering, technology, and the

science mathematics

All Episodes

41:15

19: Tune of the Hickory Stick (Beginning to...

Breaking Math Podcast ·

2017/11/07

The art of mathematics has proven, over the millennia, to be a practical as well as beautiful pursuit. This has required us to use results from math in our daily lives, and there's one thing that has always been true of humanity: we like to do things as easily as possible. Therefore, some very peculiar and interesting mental connections have been developed for the proliferation of this sort of paramathematical skill. What we're talking about when we say "mental connections" is the cerebral process

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45:29

18: Frequency (Fourier and Related Analyses)

Breaking Math Podcast ·

2017/10/11

Duration and proximity are, as demonstrated by Fourier and later Einstein and Heisenberg, very closely related properties. These properties are related by a fundamental concept: frequency. A high frequency describes something which changes many times in a short amount of space or time, and a lower frequency describes something which changes few times in the same time. It is even true that, in a sense, you can ‘rotate’ space into time. So what have we learned from frequencies? How have they been

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61:49

17: Navier Stoked (Vector Calculus and Navier-Stokes...

Breaking Math Podcast ·

2017/10/05

From our first breath of the day to brushing our teeth to washing our faces to our first sip of coffee, and even in the waters of the rivers we have built cities upon since antiquity, we find ourselves surrounded by fluids. Fluids, in this context, mean anything that can take the shape of its container. Physically, that means anything that has molecules that can move past one another, but mathematics has, as always, a slightly different view. This view is seen by some as more nuanced, others as more

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70:53

BFNB2: Thought for Food (Discussion about Learning)

Breaking Math Podcast ·

2017/09/19

Sponsored by www.brilliant.org/breakingmath, where you can take courses in calculus, computer science, chemistry, and other STEM subjects. All online; all at your own pace; and accessible anywhere with an internet connection, including your smartphone or tablet! Start learning today! Check out: https://blankfornonblank.podiant.co/e/357f09da787bac/What you're about to hear is part two of an episode recorded by the podcasting network ___forNon___ (Blank for Non-Blank), of which Breaking Math,

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34:50

BFNB1: Food for Thought (Discussion about Learning)

Breaking Math Podcast ·

2017/09/16

This is the first group podcast for the podcasting network ___forNon___ (pronounced "Blank for Non-Blank"), a podcasting network which strives to present expert-level subject matter to non-experts in a way which is simultaneously engaging, interesting, and simple. The episode today delves into the problem of learning. We hope you enjoy this episode.--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast:

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1:48

A Special Message

Breaking Math Podcast ·

2017/09/02

Hello. This is Jonathan from Breaking Math to bring you a specialmessage. Gabriel, my co-host, has recently had a child. The childis healthy, but both children and Breaking Math take time,and we're still figuring out how to make use of said time mostefficiently. So I'm here to tell you what you can expect in themean time.In the mean time, you can expect some minisodes from us. These willbe covering a variety of topics, hopefully including the millenniumproblems.You can also expect us to release new

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25:00

Minisode 0.6: Four Problems

Breaking Math Podcast ·

2017/08/18

Jonathan and Gabriel discuss four challenging problems.--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/supportBecome a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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62:06

15: Consciousness

Breaking Math Podcast ·

2017/07/30

What does it mean to be a good person? What does it mean to make a mistake? These are questions which we are not going to attempt to answer, but they are essential to the topic of study of today’s episode: consciousness. Conscious is the nebulous thing that lends a certain air of importance to experience, but as we’ve seen from 500 centuries of fascination with this topic, it is difficult to describe in languages which we’re used to. But with the advent of neuroscience and psychology, we seem to be

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13:39

Minisode 0.5: ___forNon___

Breaking Math Podcast ·

2017/07/20

Jonathan and Gabriel discuss ___forNon___ (blank for non-blank); a podcasting collective they've recently joined. Check out more at blankfornonblank.com.--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/supportBecome a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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67:02

14: Artificial Thought (Neural Networks)

Breaking Math Podcast ·

2017/07/11

Go to www.brilliant.org/breakingmathpodcast to learn neural networks, everyday physics, computer science fundamentals, the joy of problem solving, and many related topics in science, technology, engineering, and math. Mathematics takes inspiration from all forms with which life interacts. Perhaps that is why, recently, mathematics has taken inspiration from that which itself perceives the world around it; the brain itself. What we’re talking about are neural networks. Neural networks have their

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50:26

13: Math and Prison Riots (Interview with Frank Salas)

Breaking Math Podcast ·

2017/06/27

Frank Salas is an statistical exception, but far from an irreplicable result. Busted on the streets of Albuquerque for selling crack cocaine at 17, an age where many of us are busy honing the skills that we've chosen to master, and promply incarcerated in one of the myriad concrete boxes that comprise the United States penal system. There, he struggled, as most would in his position, to better himself spiritually or ethically, once even participating in a prison riot. After two stints in solitary

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52:08

12: Math Factory (Algorithms)

Breaking Math Podcast ·

2017/06/13

In a universe where everything is representable by information, what does it mean to interact with that world? When you follow a series of steps to accomplish a goal, what you're doing is taking part in a mathematical tradition as old as math itself: algorithms. From time immemorial, we've accelerated the growth of this means of transformation, and whether we're modeling neurons, recognizing faces, designing trusses on a bridge, or coloring a map, we're involving ourselves heavily in a fantastic

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61:23

11: A Culture of Hacking (Hacker Culture)

Breaking Math Podcast ·

2017/05/31

The culture of mathematics is a strange topic. It is almost as important to the history of mathematics as the theorems that have come from it, yet it is rarely commented upon, and it is almost never taught in schools. One form of mathematical inquiry that has cropped up in the last two centuries has been the algorithm. While not exclusive to this time period, it has achieved a renaissance, and with the algorithm has come what has come to be known as "hacker culture". From Lord Byron to Richard

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75:40

10: Cryptomath (Cryptography)

Breaking Math Podcast ·

2017/05/16

Language and communication is a huge part of what it means to be a person, and a large part of this importance is the ability to direct the flow of that information; this is a practice known as cryptography. There are as many ways to encrypt data as there are ways to use them, ranging from cryptoquips solvable by children in an afternoon to four kilobit RSA taking eons of time. So why are there so many forms of encryption? What can they be used for? And what are the differences in their methodology,

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52:44

9: Humanity 2.0 (Transhumanism)

Breaking Math Podcast ·

2017/05/02

Humanity, since its inception, has been nebulously defined. Every technological advancement has changed what it means to be a person, and every person has changed what it means to advance. In this same vein, there is a concept called “transhumanism”, which refers to what it will mean to be a person. This can range from everything from genetic engineering, to artificial intelligence, to technology which is beyond our current physical understanding. So what does it mean to be a person? And is

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15:20

Minisode 0.4: Comin' Up Next

Breaking Math Podcast ·

2017/05/01

Jonathan and Gabriel talk about the next four episodes coming down the pike, including Humanity 2.0, which debuts Tuesday, April 2nd 2017.--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/supportBecome a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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19:13

Minisode 0.3: Lights, Camera, Action!

Breaking Math Podcast ·

2017/04/20

Jonathan and Gabriel discuss their recent news debut! You can find what they're talking about at news.unm.edu--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/supportBecome a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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58:15

8: Evolution and Engineering (Genetic Algorithms)

Breaking Math Podcast ·

2017/04/18

Computation is a nascent science, and as such, looks towards the other sciences for inspiration. Whether it be physics, as in simulated annealing, or, as now is popular, biology, as in neural networks, computer science has shown repeatedly that it can learn great things from other sciences. Genetic algorithms are one such method that is inspired, of course, by biological evolution. So what are genetic algorithms used for? What have they taught us about the natural process of evolution? And how can

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28:01

Minisode 0.2: What's Up, Bangalore?

Breaking Math Podcast ·

2017/04/10

Jonathan and Gabriel discuss everything Bangalore, evolutionary algorithmic, and more!--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast: https://anchor.fm/breakingmathpodcast/supportBecome a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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44:38

7: QED? Prove it. (Proofs)

Breaking Math Podcast ·

2017/04/04

Proofs are sometimes seen as an exercise in tedium, other times as a pure form of beauty, and often as both. But from time immemorial, people have been using mathematics to demonstrate new theorems, and advance the state of the art of mathematics. However, it is only relatively recently, within the last 3,000 years, that the art of mathematical proof has been considered essential to the study of mathematics. Mathematicians constantly fight over what constitutes a proof, and even what makes a proof

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