Closed Form Solution Summations

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  • Опубліковано 16 гру 2024

КОМЕНТАРІ • 25

  • @JDudeGuy00
    @JDudeGuy00 3 роки тому +3

    You did such a great job! Really helping me in my first week of an Algorithms 1 class!

  • @christenmarsh7438
    @christenmarsh7438 6 років тому +8

    More of these please!

  • @jeremykaplan188
    @jeremykaplan188 2 роки тому +1

    You made this so clear! Thanks for this video :)

  • @muhammadwaseem_
    @muhammadwaseem_ 2 роки тому

    Can anyone please explain the property used at 1:59

  • @Matt-gx8fr
    @Matt-gx8fr 2 роки тому

    Unreal, thank you!

  • @IvanIvanov-qx5oz
    @IvanIvanov-qx5oz 6 років тому +2

    Is there one of these on summation by parts?

    • @randerson112358
      @randerson112358  5 років тому

      I have many videos on Summations, here is a playlist below:
      ua-cam.com/video/hXeb8cM5o_0/v-deo.html

    • @randerson112358
      @randerson112358  5 років тому

      I have many videos on Summations, here is a playlist below:
      ua-cam.com/video/hXeb8cM5o_0/v-deo.html

  • @SafwanZulfazli
    @SafwanZulfazli 6 років тому +3

    Thanks, your videos really help!

  • @mminecraftmadness
    @mminecraftmadness 6 років тому

    shouldn't you multiply (2n+1) by 2 since you're now putting a 2 denominator on it? Therefore the answer would look like ((n-2)(n-1)(4n+2))/2

    • @randerson112358
      @randerson112358  6 років тому

      I am sorry I do not understand your question, could you elaborate ?

    • @mminecraftmadness
      @mminecraftmadness 6 років тому

      @@randerson112358 at 3:45 the equation is ((n-2)(n-1))/2 x (2n+1)
      then in the next step you put everything under the same denominator.
      I am saying that in the next step I believe you had to multiply by 2 in order to put everything under the same denominator.

    • @randerson112358
      @randerson112358  6 років тому +1

      I think you are confused on the multiplication for example a * b/2 = (a * b)/2.
      Let a=4 and b=2, then 4 * 2/2 = 4 and (4 * 2)/2 = 8/2 = 4.
      I think you are thinking of addition a/2 + b doesn't equal (a + b)/2.

    • @mminecraftmadness
      @mminecraftmadness 6 років тому

      @@randerson112358 you're right, thanks for the reply!

  • @encodecode1059
    @encodecode1059 3 роки тому

    Excellent video

  • @jaromhulet1865
    @jaromhulet1865 3 роки тому

    Very good video!

  • @Sara-rr9ss
    @Sara-rr9ss 5 років тому +1

    Thank you so much

  • @huzaifapatel758
    @huzaifapatel758 5 років тому

    what does closed form mean?

    • @randerson112358
      @randerson112358  5 років тому

      It's a mathematical expression that can be evaluated in a finite number of operations.

  • @hiltyMG
    @hiltyMG 6 років тому

    I think the correct answer is (2n^3-5n^2-n+1)/2, no?

    • @randerson112358
      @randerson112358  6 років тому

      No, the answer in the video is correct.

    • @hiltyMG
      @hiltyMG 6 років тому +1

      Yep, I saw that later. My bad!
      Good job! =D

  • @boriscreativespace
    @boriscreativespace 6 років тому

    nicely explained!