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![Channel Update [April 2017]](https://i.ytimg.com/vi/gZPy7OxAjRM/mqdefault.jpg "Channel Update [April 2017]
Help me make more videos: https://www.patreon.com/welchlabs
YouTube channels referenced: MinutePhysics, Veritaseum, VSauce, Physics Girl, CGP Grey, Mathologer, 3Blue1Brown, and Numberphile.
A special thanks to Charles Young for all his fantastic help with the motion rig. Thanks to Joan and Alison Young for cutting out an absolutely amazing ransom note.
Music: https://www.premiumbeat.com/royalty_free_music/songs/yours-faithfully
https://www.premiumbeat.com/royalty_free_music/songs/it-s-always-funny-in-philadelphia")
![Learning To See [Part 13: Heuristics]](https://i.ytimg.com/vi/g_sA8hYU3b8/mqdefault.jpg "Learning To See [Part 13: Heuristics]
In this series, well explore the complex landscape of machine learning and artificial intelligence through one example from the field of computer vision: using a decision tree to count the number of fingers in an image. Its gonna be crazy.
Supporting Code: https://github.com/stephencwelch/LearningToSee
welchlabs.com
@welchlabs")
![Learning To See [Part 1: Introduction]](https://i.ytimg.com/vi/i8D90DkCLhI/mqdefault.jpg "Learning To See [Part 1: Introduction]
In this series, well explore the complex landscape of machine learning and artificial intelligence through one example from the field of computer vision: using a decision tree to count the number of fingers in an image. Its gonna be crazy.
Become a Patron for exclusive perks: https://www.patreon.com/welchlabs
Supporting Code: https://github.com/stephencwelch/LearningToSee
welchlabs.com
@welchlabs")
![Imaginary Numbers Are Real [Part 8: Math Wizardry]](https://i.ytimg.com/vi/iecUL8_OxrU/mqdefault.jpg "Imaginary Numbers Are Real [Part 8: Math Wizardry]
More information and resources: http://www.welchlabs.com
Imaginary numbers are not some wild invention, they are the deep and natural result of extending our number system. Imaginary numbers are all about the discovery of numbers existing not in one dimension along the number line, but in full two dimensional space. Accepting this not only gives us more rich and complete mathematics, but also unlocks a ridiculous amount of very real, very tangible problems in science and engineering.
Part 1: Introduction
Part 2: A Little History
Part 3: Cardans Problem
Part 4: Bombellis Solution
Part 5: Numbers are Two Dimensional
Part 6: The Complex Plane
Part 7: Complex Multiplication
Part 8: Math Wizardry
Part 9: Closure
Part 10: Complex Functions
Part 11: Wandering in Four Dimensions
Part 12: Riemanns Solution
Part 13: Riemann Surfaces
Want to learn more or teach this series? Check out the Imaginary Numbers are Real Workbook: http://www.welchlabs.com/resources.")
