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What can mathematics say about history? According to TED Fellow Jean-Baptiste Michel, quite a lot. From changes to language to the deadliness of wars, he shows how digitized history is just starting to reveal deep underlying patterns.
- Subjects:
- Mathematics and Statistics
- Keywords:
- History -- Mathematical models
- Resource Type:
- Video
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Video
What's so special about Leonardo da Vinci's Vitruvian Man? With arms outstretched, the man fills the irreconcilable spaces of a circle and a square -- symbolizing the Renaissance-era belief in the mutable nature of humankind. James Earle explains the geometric, religious and philosophical significance of this deceptively simple drawing.
- Subjects:
- History and Mathematics and Statistics
- Keywords:
- Mathematics -- Social aspects Vitruvian man (Leonardo da Vinci)
- Resource Type:
- Video
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Video
Hidden truths permeate our world; they're inaccessible to our senses, but math allows us to go beyond our intuition to uncover their mysteries. In this survey of mathematical breakthroughs, Fields Medal winner Cédric Villani speaks to the thrill of discovery and details the sometimes perplexing life of a mathematician. "Beautiful mathematical explanations are not only for our pleasure," he says. "They change our vision of the world."
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics
- Resource Type:
- Video
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Video
When Nicolas Bourbaki applied to the American Mathematical Society in the 1950s, he was already one of the most influential mathematicians of his time. He'd published articles in international journals and his textbooks were required reading. Yet his application was firmly rejected for one simple reason: Nicolas Bourbaki did not exist. How is that possible? Pratik Aghor digs into the mystery.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- History Bourbaki Nicolas Functions
- Resource Type:
- Video
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Video
Consider the following sentence: "This statement is false." Is that true? If so, that would make the statement false. But if it's false, then the statement is true. This sentence creates an unsolvable paradox; if it's not true and it's not false– what is it? This question led a logician to a discovery that would change mathematics forever. Marcus du Sautoy digs into Gödel's Incompleteness Theorem.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Incompleteness theorems Gödel's theorem
- Resource Type:
- Video
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Video
Would mathematics exist if people didn't? Did we create mathematical concepts to help us understand the world around us, or is math the native language of the universe itself? Jeff Dekofsky traces some famous arguments in this ancient and hotly debated question.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Mathematics -- Philosophy
- Resource Type:
- Video
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Video
Physicist Werner Heisenberg said, "When I meet God, I am going to ask him two questions: why relativity? And why turbulence? I really believe he will have an answer for the first." As difficult as turbulence is to understand mathematically, we can use art to depict the way it looks. Natalya St. Clair illustrates how Van Gogh captured this deep mystery of movement, fluid and light in his work.
- Subjects:
- Physics
- Keywords:
- Turbulence Starry night (Gogh Vincent van)
- Resource Type:
- Video
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Video
Origami, which literally translates to "folding paper," is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of paper can be transformed into almost any shape, purely by folding. The same simple concepts yield everything from a paper crane with about 20 steps, to a dragon with over 1,000 steps. Evan Zodl explores the ancient art form.
- Subjects:
- Mathematics and Statistics
- Keywords:
- Origami -- Mathematics
- Resource Type:
- Video
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Video
James Beacham looks for answers to the most important open questions of physics using the biggest science experiment ever mounted, CERN's Large Hadron Collider. In this fun and accessible talk about how science happens, Beacham takes us on a journey through extra-spatial dimensions in search of undiscovered fundamental particles (and an explanation for the mysteries of gravity) and details the drive to keep exploring.
- Subjects:
- Physics
- Keywords:
- Particles (Nuclear physics) -- Research Astrophysics Nuclear astrophysics
- Resource Type:
- Video
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Video
Berg begins his lecture with a brief history of observations of bacterial motion. He then uses physics to describe the many hurdles that E. coli must overcome as it tries to swim up or down a chemical gradient. For instance, an entity as tiny as E. coli is constantly buffeted by Brownian motion and can neither stay still nor swim in a straight line. Then there is the question of how E. coli senses a gradient and translates that information into a change in its direction of movement. And finally, how does E. coli use its flagella to generate thrust at all? In Part 2, Berg explains that E. coli travels using a series of runs, when it moves in a straight line, and tumbles, when it changes direction. During a run, all of the flagella are moving counterclockwise in a tight bundle. During a tumble, one or more flagella switch to a clockwise movement and disengage from the bundle causing a change in the swimming direction. The motor that drives the rotation of the flagella is an amazing structure made of about 20 different protein parts. Berg tells us that chemosensory receptors on the cell surface detect a chemical gradient and transfer this information, via protein phosphorylation, to the motor. This chemical modification determines the direction of motor rotation and, hence, the direction the E. coli swims. An amazing system that E. coli has been perfecting for millions of years!
- Subjects:
- Physics and Biology
- Keywords:
- Bacteria -- Motility Physics Escherichia coli
- Resource Type:
- Video