What are Catalan Numbers?

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  • Опубліковано 23 гру 2024

КОМЕНТАРІ • 25

  • @MathVerseAnimated
    @MathVerseAnimated  Годину тому

    Some errors have been made when typing equations, which have went unnoticed during the editing process:
    At 06:04 : The indexation of the sum on the left-hand side should start from -1 instead of 0.
    At 06:34: The first terms of the expansion of the sqrt(1-4x) are equal to 1-2x+2x² +... instead of 1/x -1+...
    Apologies for the mistake.

  • @raniakh2006
    @raniakh2006 День тому +4

    Good work guys keep going ! ✨

  • @rhebucks_zh
    @rhebucks_zh 7 годин тому +2

    I'm a simple man. I don't understand a word, I click the video

  • @ydjemmada
    @ydjemmada 2 дні тому +3

    👏👏👏👏
    Great job visualizing the Catalan numbers! Impressive, keep it up!

  • @piskounov4136
    @piskounov4136 2 дні тому +4

    Outstanding work guys, waiting for more

  • @cheimatiffrent4761
    @cheimatiffrent4761 День тому +3

    Good work 👏👏

  • @ashu95tw
    @ashu95tw 18 годин тому +1

    I think there's a typo at 6:04, where the index should start from -1.

    • @ashu95tw
      @ashu95tw 17 годин тому

      I found a several more mistakes in the following expansions. Maybe the manuscript should be checked again?

    • @MathVerseAnimated
      @MathVerseAnimated  15 годин тому +2

      Thanks for the remark! I probably forgot to change the index and expansion when copying equations in manim. Apologies for this mistake.
      - Animator.

  • @MaxJin-b9r
    @MaxJin-b9r 2 дні тому +5

    Amazing animations guys!

  • @theiahypatia
    @theiahypatia 2 дні тому +3

    the field is honored to have you as contributors to its content

    • @MathVerseAnimated
      @MathVerseAnimated  2 дні тому +3

      And we are honored to receive such a comment like yours!

  • @jimbofly6494
    @jimbofly6494 2 дні тому +4

    Well explained!

  • @rihemaka4111
    @rihemaka4111 2 дні тому +3

    That's a 10/10 ! Waiting for more 👀

  • @wadjihrebiai9882
    @wadjihrebiai9882 День тому +1

    Great work mates 👏

  • @inosam891
    @inosam891 2 дні тому +3

    Excellent travail
    Bonne continuation 🩵

  • @SabaeDeffar
    @SabaeDeffar День тому +3

    Good job

  • @MahmoudSabeurYahia
    @MahmoudSabeurYahia 2 дні тому +3

    Keep going 🔥

  • @jalal6177
    @jalal6177 День тому +1

    thx

  • @ZDTF
    @ZDTF 8 годин тому +1

    Did someone call a catalan master?
    Professional queen's gambit declined catalan player here