diplomatic fish
diplomatic fish
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How to Calculate 1^3 + 2^3 + ... + 100^3 By Hand #SoMEpi
Join us as we discover how power sums are hidden in Pascal's Triangle, and how this lets us form a generalized process for evaluating even the most impossibly complex power sums.
This was a much less serious undertaking than our previous submissions, especially as we've become more busy with our own personal endeavors. Nonetheless, we had a blast making it and we hope you all enjoy!
The video we made for SoME2: ua-cam.com/video/BfbZPEevM64/v-deo.html
The video we made for SoME3: ua-cam.com/video/50pXtgintLc/v-deo.html
Special thanks to Talia S for the fish!
The video title and description will likely be updated as it is currently 4am and I am not thinking this all the way through.
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Відео

Solving the Most Ridiculous Systems of Equations (ft. a cool theorem) #some328:18Solving the Most Ridiculous Systems of Equations (ft. a cool theorem) #some3
Solving the Most Ridiculous Systems of Equations (ft. a cool theorem) #some3
Переглядів 101 тис.Рік тому
Join us on an algebraic journey as we solve several crazy systems of equations, building up to formulating and proving the Fundamental Theorem of Symmetric Polynomials. This video was a serious undertaking for us and is quite different from our previous video, so let us know what you think of it! We've got lots more ideas that we hope to post more frequently, but we're still figuring out our st...
What's So Natural About e? #some223:30What's So Natural About e? #some2
What's So Natural About e? #some2
Переглядів 287 тис.2 роки тому
Join us on a journey where we explore a visual approach towards e, uncovering the intuition behind some of its common definitions and features. This Wikipedia page has rigorous proofs of the facts presented in the video: en.wikipedia.org/wiki/Characterizations_of_the_exponential_function Timestamps 00:00 Intro 00:41 Tally's Growth Rule 04:30 Infinite Series Formula 13:04 Limit Formula 17:39 Wha...