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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

42:29

75: Existential Physics with Sabine Hossenfelder...

Breaking Math Podcast ·

2022/10/13

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43:00

74: Lights, Camera, Action! (3D Computer Graphics:...

Breaking Math Podcast ·

2022/06/19

The world around us is a four-dimensional world; there are three spatial dimensions, and one temporal dimension. Many of these objects emit an almost unfathomable number of photons. As we developed as creatures on this planet, we gathered the ability to sense the world around us; and given the amount of information represented as photons, it is no surprise that we developed an organ for sensing photons. But because of the amount of photons that are involved, and our relatively limited computational

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55:56

73: Materialism: a Material Science Podcast Podcast...

Breaking Math Podcast ·

2022/05/28

Physical objects are everywhere, and they're all made out of molecules, and atoms. However, the arrangement and refinement of these atoms can be the difference between a computer and sand, or between a tree and paper. For a species as reliant on tool use, the ability to conceieve of, design, create, and produce these materials is an ongoing concern. Since we've been around as humans, and even before, we have been material scientists in some regard, searching for new materials to make things out of,

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50:39

72: The Lifestyles of the Mathematical and Famous (an...

Breaking Math Podcast ·

2022/05/15

Robert Black is an author who has written a six-book series about seven influential mathematicians, their lives, and their work. We interview him and his books, and take a peek into the lives of these influential mathematicians.Addendum: Hey Breaking Math fans, I just wanted to let y'all know that the second material science podcast is delayed.[Featuring: Sofía Baca; Robert Black]Become a supporter of this podcast: https://www.spreaker.com/podcast/breaking-math-podcast--5545277/support.

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55:53

71: What's the Matter? An Interview with Chris...

Breaking Math Podcast ·

2022/04/12

Matter is that which takes up space, and has mass. It is what we interact with, and what we are. Imagining a world without matter is to imagine light particles drifting aimlessly in space. Gasses, liquids, solids, and plasmas are all states of matter. Material science studies all of these, and their combinations and intricacies, found in examining foams, gels, meshes, and other materials and metamaterials. Chris Cogswell is a material scientist, and host of The Mad Scientist Podcast, a podcast that

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47:31

70.1: Episode 70.1 of Breaking Math Podcast...

Breaking Math Podcast ·

2022/03/20

Seldom do we think about self-reference, but it is a huge part of the world we live in. Every time that we say 'myself', for instance, we are engaging in self-reference. Long ago, the Liar Paradox and the Golden Ratio were among the first formal examples of self-reference. Freedom to refer to the self has given us fruitful results in mathematics and technology. Recursion, for example, is used in algorithms such as PageRank, which is one of the primary algorithms in Google's search engine. Elements

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45:01

70: This Episode Intentionally Left Blank

Breaking Math Podcast ·

2022/03/19

This episode description intentionally left blank.--- Support 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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60:55

Season 4 Announcement (and a Rerun of Forbidden...

Breaking Math Podcast ·

2022/02/20

Hello, listeners! This is Sofia with an announcement.Season 4 is about to start, and we have some great episodes planned. The last few weeks have been busy for us in our personal lives, and we apologize for our spotty release schedule lately. We're excited to bring you more of the content you've grown to love.Today, we're going to have a rerun of our first episode on. This episode is a little rough at points, but we're choosing to rerun it because it captures the spirit of the podcast so elegantly

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34:59

Rerun of P1: Peano Addition

Breaking Math Podcast ·

2022/01/27

On this problem episode, join Sofía and guest Diane Baca to learn about what an early attempt to formalize the natural numbers has to say about whether or not m+n equals n+m.[Featuring: Sofía Baca; Diane Baca]--- 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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64:30

69: An Interview with Michael Brooks, Author of "The...

Breaking Math Podcast ·

2022/01/23

Michael Brooks is a science writer who specializes in making difficult concepts easier to grasp. In his latest book, Brooks goes through several mathematical concepts and discusses their motivation, history, and discovery. So how do stories make it easier to learn? What are some of the challenges associated with conveying difficult concepts to the general public? And who, historically, has been a mathematician? All of this and more on this episode of Breaking Math. Songs were Breaking Math Intro

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24:41

P12: O My God (Big O Notation)

Breaking Math Podcast ·

2022/01/04

There are times in mathematics when we are generalizing the behavior of many different, but similar, entities. One such time that this happens is the use cases of Big O notation, which include describing the long-term behavior of functions, and talking about how accurate numerical calculations are. On this problem episode, we are going to discuss Big O notation and how to use it.This episode is licensed by Sofia Baca under a Creative Commons Attribution-ShareAlike-NonCommercial 4.0 International

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36:41

68: LOL!!! SO RANDOM (Random Variables)

Breaking Math Podcast ·

2021/12/23

The world is often uncertain, but it has only been in the last half millennium that we've found ways to interact mathematically with that concept. From its roots in death statistics, insurance, and gambling to modern Bayesian networks and machine learning, we've seen immense productivity in this field. Every way of looking at probability has something in common: the use of random variables. Random variables let us talk about events with uncertain outcomes in a concrete way. So what are random

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22:54

67: Wrath of Math (Mathematics Used Unwisely)

Breaking Math Podcast ·

2021/12/09

Mathematics is a subject that has been used for great things over time: it has helped people grow food, design shelter, and in every part of life. It should be, then, no surprise that sometimes mathematics is used for evil; that is to say, there are times where mathematics is used to either implement or justify regressive things like greed, racism, classism, and even genocide. So when has math been used for destructive purposes? What makes us mis-apply mathematics? And why can oversimplification

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33:46

P11: Feeling Lucky? (Probability and Intuition)

Breaking Math Podcast ·

2021/11/30

Join Sofía Baca with her guest Millicent Oriana from the newly launched Nerd Forensics podcast as they discuss some apparent paradoxes in probability and Russian roulette.Intro is "Breaking Math Theme" by Elliot Smith. Ads feature "Ding Dong" by Simon Panrucker[Featuring: Sofía Baca; Millicent Oriana]--- 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:

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74:02

66: Hayhoe, Let's Go! (An Interview With Climate...

Breaking Math Podcast ·

2021/11/21

Katharine Hayhoe was the lead author on the 2018 US Climate Assessment report, and has spent her time since then spreading the word about climate change. She was always faced with the difficult task of convincing people who had stakes in things that would be affected by acknowledging the information in her report. In her newest book, “Saving Us: A Climate Scientist’s Case for Hope and Healing in a Divided World”, she discusses the challenges associated with these conversations, at both the micro and

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23:03

P10: Chivalry is Dead (Knights and Knaves #1)

Breaking Math Podcast ·

2021/11/14

One tells a lie, the other the truth! Have fun with Sofía and Meryl as they investigate knight, knave, and spy problems!Intro is "Breaking Math Theme" by Elliot Smith. Music in the ads were Plug Me In by Steve Combs and "Ding Dong" by Simon Panrucker. You can access their work at freemusicarchive.org.[Featuring: Sofia Baca; Meryl Flaherty]--- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/appSupport this podcast:

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49:10

65: An Interview with Author Ian Stewart (Book About...

Breaking Math Podcast ·

2021/10/24

Distributed under a Creative Commons Attribution-ShareAlike-NonCommercial license.For more information, visit creativecommons.org.Ian is an author who has written many math and science books, and collaborated with Terry Pratchett.--- 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:

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48:44

64: What Projection Is This? (Map Projections)

Breaking Math Podcast ·

2021/09/29

The world is a big place with a lot of wonderful things in it. The world also happens to be spherical, which can make getting to those things a challenge if you don't have many landmarks. This is the case when people are navigating by sea. For this reason, map projections, which take a sphere and attempt to flatten it onto a sheet, were born. So what is a map projection? Why are there so many? And why is Gall-Peters the worst? All of this, and more, on this episode of Breaking Math.Theme was written

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49:30

RR36: The Most Boring Episode Ever (Rerun: Math Games)

Breaking Math Podcast ·

2021/09/19

This is a rerun of one of our favorite episodes! We hope that you enjoy it if you haven't listened to it yet. We'll be back next week with new content! Thank you so much for listening to Breaking Math!Math is a gravely serious topic which has been traditionally been done by stodgy people behind closed doors, and it cannot ever be taken lightly. Those who have fun with mathematics mock science, medicine, and the foundation of engineering. That is why on today's podcast, we're going to have absolutely

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33:53

63: Broken Voting Systems (Voting Systems and Paradoxes)

Breaking Math Podcast ·

2021/09/05

Voting systems are, in modern times, essential to the way that large-scale decisions are made. The concept of voicing an opinion to be, hopefully, considered fairly is as ancient and well-established as the human concept of society in general. But, as time goes on, the recent massive influx of voting systems in the last 150 years have shown us that there are as many ways to vote as there are flaws in the way that the vote is tallied. So what problems exist with voting? Are there any intrinsic

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