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Trefor Bazett

@TreforBazett • 5,181 subscribers

Math Prof at the University of Victoria, Math YouTuber, Ukulele Player.

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Fundamental Theorem of Calculus 2 has a lovely visual. Imagine you're climbing a mountain. Add up all the little changes in height as you walk up. You can approximate those little changes with the derivative. Then the sum of the little changes adds up to the net change.

Fundamental Theorem of Calculus 2 has a lovely visual. Imagine you're climbing a mountain. Add up all the little changes in height as you walk up. You can approximate those little changes with the derivative. Then the sum of the little changes adds up to the net change.

29,827 Aufrufe • vor 5 Monaten

Cool and simple proof: Are there two irrationals a & b such that a^b is rational? Consider √2^√2. If it's rational, we're done. If it's irrational then √2^√2^√2=√2^2=2 is rational, we're done. This is a non-constructive existence proof!

Cool and simple proof: Are there two irrationals a & b such that a^b is rational? Consider √2^√2. If it's rational, we're done. If it's irrational then √2^√2^√2=√2^2=2 is rational, we're done. This is a non-constructive existence proof!

20,254 Aufrufe • vor 6 Monaten

AI just disproved perhaps its biggest conjecture yet. This has gotten a LOT of commentary on this platform. I wanted tot record a video explaining what the conjecture actually was:

AI just disproved perhaps its biggest conjecture yet. This has gotten a LOT of commentary on this platform. I wanted tot record a video explaining what the conjecture actually was:

12,719 Aufrufe • vor 4 Monaten

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