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Interactive learning platform for math, science, and programming.
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Apr 05 2025
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What is Brilliant?

Brilliant is an interactive learning platform that offers bite-sized lessons in math, science, and programming. Users can engage with a wide range of topics through structured paths while receiving feedback to enhance their understanding.

How to use Brilliant?

To use Brilliant, sign up, choose a subject, and start engaging with lessons and problems tailored to your learning level.

Brilliant's Core Features

Interactive lessons in various subjects

Custom feedback on problem-solving

Courses designed by experts

Brilliant's Use Cases

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Learn math concepts through interactive puzzles

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Enhance programming skills with targeted lessons

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27:14

The Most Misunderstood Concept in Physics

One of the most important, yet least understood, concepts in all of physics. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription. If you're looking for a molecular modeling kit, try Snatoms - a kit I invented where the atoms snap together magnetically: https://snatoms.com ▀▀▀ A huge thank you to those who helped us understand different aspects of this complicated topic - Dr. Ashmeet Singh, Supriya Krishnamurthy, Dr. Jos Thijssen, Dr. Bijoy Bera, Dr. Timon Idema, Álvaro Bermejillo Seco and Dr. Misha Titov. ▀▀▀ References: Carnot, S. (1824). Reflections on the motive power of heat: and on machines fitted to develop that power. - https://ve42.co/Carnot1890 Harnessing The True Power Of Atoms | Order And Disorder Documentaries, Spark via YouTube - https://ve42.co/OrderDisorder A better description of entropy, Steve Mould via YouTube - https://ve42.co/Mould2016 Dugdale, J. S. (1996). Entropy and its physical meaning. CRC Press. - https://ve42.co/Dugdale1996 Schroeder, D. V. (1999). An introduction to thermal physics. - https://ve42.co/Schroeder2021 Fowler, M. Heat Engines: the Carnot Cycle, University of Virginia. - https://ve42.co/Fowler2023 Chandler, D.L. (2010). Explained: The Carnot Limit, MIT News - https://ve42.co/Chandler2010 Entropy, Wikipedia - https://ve42.co/EntropyWiki Clausius, R. (1867). The mechanical theory of heat. Van Voorst. - https://ve42.co/Clausius1867 What is entropy? TED-Ed via YouTube - https://ve42.co/Phillips2017 Thijssen, J. (2018) Lecture Notes Statistical Physics, TU Delft. Schneider, E. D., & Kay, J. J. (1994). Life as a manifestation of the second law of thermodynamics. Mathematical and computer modelling, 19(6-8), 25-48. - https://ve42.co/Schneider1994 Lineweaver, C. H., & Egan, C. A. (2008). Life, gravity and the second law of thermodynamics. Physics of Life Reviews, 5(4), 225-242. - https://ve42.co/Lineweaver2008 Michaelian, K. (2012). HESS Opinions" Biological catalysis of the hydrological cycle: life's thermodynamic function". Hydrology and Earth System Sciences, 16(8), 2629-2645. - https://ve42.co/Michaelian2012 England, J. L. (2013). Statistical physics of self-replication. The Journal of chemical physics, 139(12), 09B623_1. - https://ve42.co/England2013 England, J. L. (2015). Dissipative adaptation in driven self-assembly. Nature nanotechnology, 10(11), 919-923. - https://ve42.co/England2015 Wolchover, N. (2014). A New Physics Theory of Life, Quantamagazine - https://ve42.co/Wolchover2014 Lineweaver, C. H. (2013). The entropy of the universe and the maximum entropy production principle. In Beyond the Second Law: Entropy Production and Non-equilibrium Systems (pp. 415-427). Berlin, Heidelberg: Springer Berlin Heidelberg. - https://ve42.co/LineweaverEntropy Bekenstein, J.D. (1972). Black holes and the second law. Lett. Nuovo Cimento 4, 737–740. - https://ve42.co/Bekenstein1972 Carroll, S.M. (2022). The Biggest Ideas in the Universe: Space, Time, and Motion. Penguin Publishing Group. - https://ve42.co/Carroll2022 Black hole thermodynamics, Wikipedia - https://ve42.co/BlackHoleTD Cosmology and the arrow of time: Sean Carroll at TEDxCaltech, TEDx Talks via YouTube - https://ve42.co/CarrollTEDx Carroll, S. M. (2008). The cosmic origins of time’s arrow. Scientific American, 298(6), 48-57. - https://ve42.co/Carroll2008 The Passage of Time and the Meaning of Life | Sean Carroll (Talk + Q&A), Long Now Foundation via YouTube - https://ve42.co/CarrollLNF ▀▀▀ Special thanks to our Patreon supporters: Emil Abu Milad, Tj Steyn, meg noah, Bernard McGee, KeyWestr, Amadeo Bee, TTST, Balkrishna Heroor, John H. Austin, Jr., john kiehl, Anton Ragin, Diffbot, Gnare, Dave Kircher, Burt Humburg, Blake Byers, Evgeny Skvortsov, Meekay, Bill Linder, Paul Peijzel, Josh Hibschman, Mac Malkawi, Juan Benet, Ubiquity Ventures, Richard Sundvall, Lee Redden, Stephen Wilcox, Marinus Kuivenhoven, Michael Krugman, Sam Lutfi. ▀▀▀ Written by Casper Mebius, Derek Muller & Petr Lebedev Edited by Trenton Oliver & Jamie MacLeod Animated by Mike Radjabov, Ivy Tello, Fabio Albertelli and Jakub Misiek Filmed by Derek Muller, Albert Leung & Raquel Nuno Molecular collisions video by CSIRO's Data61 via YouTube: Simulation of air Additional video/photos supplied by Getty Images, Pond5 and by courtesy of NASA, NASA's Goddard Space Flight Center, NASA Goddard Flight Lab/ CI Lab, NASA/SDO and the AIA, EVE, HMI, and WMAP science teams. As well as the Advanced Visualization Laboratory at the National Center for Supercomputing Applications, B. Robertson, L. Hernquist Music from Epidemic Sound & Jonny Hyman Produced by Derek Muller, Petr Lebedev, Emily Zhang, & Casper Mebius

Veritasium
Jul 01 2023
20.5M
23.3K
31:10

How One Line in the Oldest Math Text Hinted at Hidden Universes

Discover strange new universes that turn up at the core of Einstein’s General Relativity. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription. Special thanks to our Patreon supporters! Join the community to help us keep our videos free, forever: https://ve42.co/PatreonDEB If you’re looking for a molecular modeling kit, try Snatoms – a kit I invented where the atoms snap together magnetically – https://ve42.co/SnatomsV ▀▀▀ A massive thank you to Prof. Alex Kontorovich for all his help with this video. A huge thank you to Prof. Geraint Lewis and Dr. Ashmeet Singh for helping us understand the applications of Non-Euclidean geometry in astronomy/cosmology. Lastly, a big thank you to Dr. Henry Segerman and Dr. Rémi Coulon for helping us visualize what it’s like to be inside hyperbolic space and helping us understand hyperbolic geometry. ▀▀▀ Images: Euclid via Science Museum Group - https://ve42.co/Euclid Geodesy survey via ams - https://ve42.co/Geodesy John Wheeler via NAS Online - https://ve42.co/Wheeler ▀▀▀ References: Dunham, W. (1991). Journey through Genius: Great Theorems of Mathematics. John Wiley & Sons. Bonola, R. (1955). Non-Euclidean geometry: A critical and historical study of its development. Courier Corporation. Library of Congress. (n.d.). The Library of Congress. - https://ve42.co/LibofCongress Euclid’s Elements, Wikipedia - https://ve42.co/Elements The History of Non-Euclidean Geometry, Extra History via YouTube - https://ve42.co/ExtraHistory We (could) live on a 4D Pringle - Physics for the Birds via YouTube - https://ve42.co/4DPringle Parallel Postulate, Wikipedia - https://ve42.co/Parallel Prékopa, A., & Molnár, E. (Eds.). (2006). Non-euclidean geometries: János Bolyai memorial volume (Vol. 581). Springer Science & Business Media. St Andrews, University of. (n.d.). Bolyai. MacTutor History of Mathematics. - https://ve42.co/Bolyai Bolyai, J. (1896). The Science Absolute of Space.. (Vol. 3). The Neomon. Gauss, Wikipedia - https://ve42.co/Gauss Singh, U. (2022). Gauss-Bolyai-Lobachevsky: The dawn of non-euclidean geometry. Medium. - https://ve42.co/CPNonEuclidean Landvermessung, D. Z. (1929). Abhandlungen ueber Gauss' wissenschaftliche Taetigkeit auf den Gebieten der Geodaesie, Physik und Astronomie Bd. 11, Abt. - https://ve42.co/Landvermessung Nikolai Lobachevsky, Wikipedia - https://ve42.co/Lobachevsky Lobachevskiĭ, N. I. (1891). Geometrical researches on the theory of parallels. University of Texas. A Problem with the Parallel Postulate, Numberphile via YouTube - https://ve42.co/NumberphileParallel Riemann, B. (2016). On the hypotheses which lie at the bases of geometry. Birkhäuser. - https://ve42.co/Riemann Einstein, A. (1905). On the electrodynamics of moving bodies. Annalen der physik, 17(10), 891-921. - https://ve42.co/Einstein1905 ESA/Hubble. (n.d.). Hubblecast 90: The final frontier of the Frontier Fields. ESA/Hubble. - https://ve42.co/Einstein1905 Agazie, G., et al. (2023). The NANOGrav 15 yr data set: Constraints on supermassive black hole binaries from the gravitational-wave background. - https://ve42.co/NANOGrav Secrets of the Cosmic Microwave Background, PBS Spacetime via YouTube - https://ve42.co/PBSCMB Wood, C. (2020). How Ancient Light Reveals the Universe's Contents. Quanta Magazine. - https://ve42.co/AncientLight Collaboration (2014). Planck 2013 results. XVI. Cosmological parameters. A&A, 571, A16. - https://ve42.co/Planck2013 WMAP Science Team, NASA. (2014). Matter in the Universe. WMAP, NASA. - https://ve42.co/WMAP2014 What Is The Shape of Space, minutephysics via YouTube - https://ve42.co/SpaceShape Shape of the universe, Wikipedia - https://ve42.co/UniverseShape Crocheting Hyperbolic Planes: Daina Taimina by Ted, via YouTube - https://ve42.co/Hyperbolic Hyperbolic Crochet model - https://ve42.co/Crochet ▀▀▀ Special thanks to our Patreon supporters: Adam Foreman, Amadeo Bee, Anton Ragin, Balkrishna Heroor, Bernard McGee, Bill Linder, Burt Humburg, Dave Kircher, Diffbot, Evgeny Skvortsov, Gnare, Jesse Brandsoy, John H. Austin, Jr., john kiehl, Josh Hibschman, Juan Benet, KeyWestr, Lee Redden, Marinus Kuivenhoven, Mario Bottion, Max Maladino, Meekay, meg noah, Michael Krugman, Paul Peijzel, Richard Sundvall, Sam Lutfi, Stephen Wilcox, Tj Steyn, TTST, Ubiquity Ventures ▀▀▀ Directed by Casper Mebius Written by Casper Mebius, Petr Lebedev, Emily Zhang, Derek Muller, and Alex Kontorovich Edited by Jack Saxon Animated by Fabio Albertelli, Ivy Tello, and Mike Radjabov Illustrations by Jakub Misiek and Celia Bode Filmed by Derek Muller Produced by Casper Mebius, Derek Muller, and Han Evans Additional video/photos supplied by Getty Images, Pond5, and by courtesy of: NASA, NASA's Goddard Space Flight Center, NASA Goddard Flight Lab/ CI Lab, NASA’s WMAP science teams, ESO, and ESA/Hubble. Music from Epidemic Sound Thumbnail by Ren Hurley

Veritasium
Oct 21 2023
13.6M
12.0K
31:10

How One Line in the Oldest Math Text Hinted at Hidden Universes

Discover strange new universes that turn up at the core of Einstein’s General Relativity. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20% off an annual premium subscription. Special thanks to our Patreon supporters! Join the community to help us keep our videos free, forever: https://ve42.co/PatreonDEB If you’re looking for a molecular modeling kit, try Snatoms – a kit I invented where the atoms snap together magnetically – https://ve42.co/SnatomsV ▀▀▀ A massive thank you to Prof. Alex Kontorovich for all his help with this video. A huge thank you to Prof. Geraint Lewis and Dr. Ashmeet Singh for helping us understand the applications of Non-Euclidean geometry in astronomy/cosmology. Lastly, a big thank you to Dr. Henry Segerman and Dr. Rémi Coulon for helping us visualize what it’s like to be inside hyperbolic space and helping us understand hyperbolic geometry. ▀▀▀ Images: Euclid via Science Museum Group - https://ve42.co/Euclid Geodesy survey via ams - https://ve42.co/Geodesy John Wheeler via NAS Online - https://ve42.co/Wheeler ▀▀▀ References: Dunham, W. (1991). Journey through Genius: Great Theorems of Mathematics. John Wiley & Sons. Bonola, R. (1955). Non-Euclidean geometry: A critical and historical study of its development. Courier Corporation. Library of Congress. (n.d.). The Library of Congress. - https://ve42.co/LibofCongress Euclid’s Elements, Wikipedia - https://ve42.co/Elements The History of Non-Euclidean Geometry, Extra History via YouTube - https://ve42.co/ExtraHistory We (could) live on a 4D Pringle - Physics for the Birds via YouTube - https://ve42.co/4DPringle Parallel Postulate, Wikipedia - https://ve42.co/Parallel Prékopa, A., & Molnár, E. (Eds.). (2006). Non-euclidean geometries: János Bolyai memorial volume (Vol. 581). Springer Science & Business Media. St Andrews, University of. (n.d.). Bolyai. MacTutor History of Mathematics. - https://ve42.co/Bolyai Bolyai, J. (1896). The Science Absolute of Space.. (Vol. 3). The Neomon. Gauss, Wikipedia - https://ve42.co/Gauss Singh, U. (2022). Gauss-Bolyai-Lobachevsky: The dawn of non-euclidean geometry. Medium. - https://ve42.co/CPNonEuclidean Landvermessung, D. Z. (1929). Abhandlungen ueber Gauss' wissenschaftliche Taetigkeit auf den Gebieten der Geodaesie, Physik und Astronomie Bd. 11, Abt. - https://ve42.co/Landvermessung Nikolai Lobachevsky, Wikipedia - https://ve42.co/Lobachevsky Lobachevskiĭ, N. I. (1891). Geometrical researches on the theory of parallels. University of Texas. A Problem with the Parallel Postulate, Numberphile via YouTube - https://ve42.co/NumberphileParallel Riemann, B. (2016). On the hypotheses which lie at the bases of geometry. Birkhäuser. - https://ve42.co/Riemann Einstein, A. (1905). On the electrodynamics of moving bodies. Annalen der physik, 17(10), 891-921. - https://ve42.co/Einstein1905 ESA/Hubble. (n.d.). Hubblecast 90: The final frontier of the Frontier Fields. ESA/Hubble. - https://ve42.co/Einstein1905 Agazie, G., et al. (2023). The NANOGrav 15 yr data set: Constraints on supermassive black hole binaries from the gravitational-wave background. - https://ve42.co/NANOGrav Secrets of the Cosmic Microwave Background, PBS Spacetime via YouTube - https://ve42.co/PBSCMB Wood, C. (2020). How Ancient Light Reveals the Universe's Contents. Quanta Magazine. - https://ve42.co/AncientLight Collaboration (2014). Planck 2013 results. XVI. Cosmological parameters. A&A, 571, A16. - https://ve42.co/Planck2013 WMAP Science Team, NASA. (2014). Matter in the Universe. WMAP, NASA. - https://ve42.co/WMAP2014 What Is The Shape of Space, minutephysics via YouTube - https://ve42.co/SpaceShape Shape of the universe, Wikipedia - https://ve42.co/UniverseShape Crocheting Hyperbolic Planes: Daina Taimina by Ted, via YouTube - https://ve42.co/Hyperbolic Hyperbolic Crochet model - https://ve42.co/Crochet ▀▀▀ Special thanks to our Patreon supporters: Adam Foreman, Amadeo Bee, Anton Ragin, Balkrishna Heroor, Bernard McGee, Bill Linder, Burt Humburg, Dave Kircher, Diffbot, Evgeny Skvortsov, Gnare, Jesse Brandsoy, John H. Austin, Jr., john kiehl, Josh Hibschman, Juan Benet, KeyWestr, Lee Redden, Marinus Kuivenhoven, Mario Bottion, Max Maladino, Meekay, meg noah, Michael Krugman, Paul Peijzel, Richard Sundvall, Sam Lutfi, Stephen Wilcox, Tj Steyn, TTST, Ubiquity Ventures ▀▀▀ Directed by Casper Mebius Written by Casper Mebius, Petr Lebedev, Emily Zhang, Derek Muller, and Alex Kontorovich Edited by Jack Saxon Animated by Fabio Albertelli, Ivy Tello, and Mike Radjabov Illustrations by Jakub Misiek and Celia Bode Filmed by Derek Muller Produced by Casper Mebius, Derek Muller, and Han Evans Additional video/photos supplied by Getty Images, Pond5, and by courtesy of: NASA, NASA's Goddard Space Flight Center, NASA Goddard Flight Lab/ CI Lab, NASA’s WMAP science teams, ESO, and ESA/Hubble. Music from Epidemic Sound Thumbnail by Ren Hurley

Veritasium
Oct 21 2023
13.6M
12.0K

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