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20: Rational (Ratios)
Manage episode 221459261 series 2462838
Content provided by Breaking Math, Gabriel Hesch, and Autumn Phaneuf. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Breaking Math, Gabriel Hesch, and Autumn Phaneuf or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
From MC²’s statement of mass energy equivalence and Newton’s theory of gravitation to the sex ratio of bees and the golden ratio, our world is characterized by the ratios which can be found within it. In nature as well as in mathematics, there are some quantities which equal one another: every action has its equal and opposite reaction, buoyancy is characterized by the displaced water being equal to the weight of that which has displaced it, and so on. These are characterized by a qualitative difference in what is on each side of the equality operator; that is to say: the action is equal but opposite, and the weight of water is being measured versus the weight of the buoyant object. However, there are some formulas in which the equality between two quantities is related by a constant. This is the essence of the ratio. So what can be measured with ratios? Why is this topic of importance in science? And what can we learn from the mathematics of ratios?
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Support this podcast: https://anchor.fm/breakingmathpodcast/support
143 episodes
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Manage episode 221459261 series 2462838
Content provided by Breaking Math, Gabriel Hesch, and Autumn Phaneuf. All podcast content including episodes, graphics, and podcast descriptions are uploaded and provided directly by Breaking Math, Gabriel Hesch, and Autumn Phaneuf or their podcast platform partner. If you believe someone is using your copyrighted work without your permission, you can follow the process outlined here https://player.fm/legal.
From MC²’s statement of mass energy equivalence and Newton’s theory of gravitation to the sex ratio of bees and the golden ratio, our world is characterized by the ratios which can be found within it. In nature as well as in mathematics, there are some quantities which equal one another: every action has its equal and opposite reaction, buoyancy is characterized by the displaced water being equal to the weight of that which has displaced it, and so on. These are characterized by a qualitative difference in what is on each side of the equality operator; that is to say: the action is equal but opposite, and the weight of water is being measured versus the weight of the buoyant object. However, there are some formulas in which the equality between two quantities is related by a constant. This is the essence of the ratio. So what can be measured with ratios? Why is this topic of importance in science? And what can we learn from the mathematics of ratios?
---
This episode is sponsored by
· Anchor: The easiest way to make a podcast. https://anchor.fm/app
Support this podcast: https://anchor.fm/breakingmathpodcast/support
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Similar to Breaking Math Podcast
An original podcast brought to you by the graduate students of the Department of Anthropology at The Ohio State University. Join us once as we explore the human experience! We are now a part of the Anthropology Public Outreach Program at The Ohio State University. Follow us @ohiostateAPOP
…
continue reading
Get in-depth coverage of current and future trends in technology, and how they are shaping business, entertainment, communications, science, politics, and society.
…
continue reading
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…
continue reading
How can we, humans, look at our relationship to nature differently? In season three of Going Wild, on top of stories about animals, we invite you to journey through the entire ecological web — from the tiniest of life forms to apex predators — alongside the scientists, activists and adventurers who study it. Wildlife biologist and host Dr. Rae Wynn-Grant has been studying wild animals in their natural habitats all over the world for years. Our award-winning podcast takes you inside the hidde ...
…
continue reading
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…
continue reading
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…
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continue reading
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continue reading
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…
continue reading
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…
continue reading
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