How to solve X using Lambert-W Function | Harvard Math Olympiad Equation | Lambert W Explained!!

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  • Опубликовано: 8 дек 2024

Комментарии • 10

  • @ejn1011
    @ejn1011 3 дня назад +4

    That was amazing. Brute force is fine if you're lucky enough to get 3 as an answer, but it's great to have something general for more complex cases. Thanks for sharing!

    • @professor_1o1
      @professor_1o1  3 дня назад

      You are very welcome. I have another update coming soon, if you like.

  • @depp8714
    @depp8714 2 дня назад +1

    It can be done in a simpler manner, of course finding one solution by brute force is easy here, which helps a lot. Then simply proving that the map 3^x+x is injective, so the solution we found is the only possible one.

  • @PalaashUpadhyay
    @PalaashUpadhyay 2 дня назад +1

    Wow!

  • @ArnavBhaiYTGmg
    @ArnavBhaiYTGmg 3 дня назад +3

    Sir i did that in like 5 seconds for x but appreciate the working 👍

    • @professor_1o1
      @professor_1o1  3 дня назад

      @@ArnavBhaiYTGmg you are most welcome 🙏🏽

    • @depp8714
      @depp8714 2 дня назад +1

      The actual aim for the question is to verify that the solution that you find in some seconds is the only possible one, in this case, simply checking that the map is one-to-one will suffice. So it may take maybe half a minute to actually solve the problem.

  • @jimmylightfinger1216
    @jimmylightfinger1216 2 дня назад +1

    Music is too loud

    • @professor_1o1
      @professor_1o1  2 дня назад

      @@jimmylightfinger1216 thanks 🙏🏽 I will adjust going forward