What Is Euler's Formula Actually Saying? - Lockdown Live Math

What Is Euler's Formula Actually Saying? - Lockdown Live Math

3Blue1Brown via YouTube Direct link

Q4: Results

23 of 27

23 of 27

Q4: Results

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What Is Euler's Formula Actually Saying? - Lockdown Live Math

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  1. 1 Welcome
  2. 2 Ending Animation Preview
  3. 3 Reminders from previous lecture
  4. 4 Q1: Prompt (Relationship with e^iθ=…)
  5. 5 Q1: Results
  6. 6 WTF, Whats The Function
  7. 7 Exploring exp(x)
  8. 8 Exploring exp(x) in Python
  9. 9 Important exp(x) property
  10. 10 Q2: Prompt (Given f(a+b) = f(a)f(b)…)
  11. 11 Ask: Which is more interesting, special cases or the general case
  12. 12 Q2: Results
  13. 13 Will a zero break Q2?
  14. 14 The e^x convention
  15. 15 Q3: Prompt (i^2 = -1, i^n = -1)
  16. 16 Ask: Zero does not break Q2
  17. 17 Q3: Results
  18. 18 Comparison to Rotation
  19. 19 Visualizing this relationship
  20. 20 The special case of π
  21. 21 Periodic nature of this relationship
  22. 22 Q4: Prompt (e^3i)
  23. 23 Q4: Results
  24. 24 Explaining the celebrity equation
  25. 25 Homework / Things to think about
  26. 26 Ask: Zero does break Q2.
  27. 27 Closing Remarks

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