Uniqueness of Interpolating Polynomial: Part 1 of 2

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  • เผยแพร่เมื่อ 24 ธ.ค. 2024

ความคิดเห็น • 24

  • @ehsanaali2798
    @ehsanaali2798 8 ปีที่แล้ว +4

    Brilliant ! I read my textbook, Wikipedia and three other lecture notes and could not understand this proof, until I watched your video. Thank you.

  • @shawnlong2934
    @shawnlong2934 4 ปีที่แล้ว +3

    wow, this is really a great lecture. I wish the quality was better, but you're explanation flows perfectly from one step to the next. Thank you for this! -Junior at Univ of Cal, Riverside

    • @numericalmethodsguy
      @numericalmethodsguy  4 ปีที่แล้ว

      We do have a new 1080p replacement video for this: th-cam.com/video/Ki52Cn0ksjk/w-d-xo.html

    • @numericalmethodsguy
      @numericalmethodsguy  4 ปีที่แล้ว

      Thank you. Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers by the end of 2021.
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  • @AbhishekKumar-oh5jk
    @AbhishekKumar-oh5jk 2 ปีที่แล้ว +1

    Fantastic teacher 👌

  • @thapaharis
    @thapaharis 5 ปีที่แล้ว +2

    thank you so much, sir. I was desperately searching course on numerical method and I found yours on canvas. thank you so much

  • @ArnabMondal644
    @ArnabMondal644 2 ปีที่แล้ว

    Video-240p
    Knowledge -2160p
    Thanks a ton.

    • @numericalmethodsguy
      @numericalmethodsguy  2 ปีที่แล้ว

      You're welcome
      Thank you. Please subscribe and ask your friends to subscribe - our goal is to get 100,000 subscribers by the end of 2022.
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  • @IronIsMyLife
    @IronIsMyLife 13 ปีที่แล้ว +2

    Excellent proof, clear explanation, great work!

    • @numericalmethodsguy
      @numericalmethodsguy  4 ปีที่แล้ว

      Thank you. We are making replacement videos slowly.
      Please subscribe and ask your friends to subscribe - our goal is to get to 100,000 subscribers by the end of 2021.
      To get even more help, subscribe to the numericalmethodsguy channel th-cam.com/users/numericalmethodsguy, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources.
      Follow the numerical methods blog at AutarKaw.org. You can also take a free massive open online course (MOOC) at canvas.instructure.com/enroll/KYGTJR
      Please share these links with your friends and fellow students through social media and email.

  • @zeenatfatima5585
    @zeenatfatima5585 5 ปีที่แล้ว +2

    thank you..... this explanation is really very effective :)

    • @numericalmethodsguy
      @numericalmethodsguy  5 ปีที่แล้ว

      Thank you.
      To get even more help, subscribe to the numericalmethodsguy channel, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends through social media and email.
      Follow my numerical methods blog at AutarKaw.org.

  • @numericalmethodsguy
    @numericalmethodsguy  7 ปีที่แล้ว

    Watch part 2 of this video. th-cam.com/video/E-MSlCNJPi/w-d-xo.html If you still have questions, ask thru a comment again.

  • @SA-gt8lx
    @SA-gt8lx 7 ปีที่แล้ว +1

    But the theorem only says it is unique for rank n or less. At 4:32, it is a higher rank than what the theorem says.

  • @kamalchandradas838
    @kamalchandradas838 7 ปีที่แล้ว +1

    Sir,if u don't mind, i have a question that....u say, 'the only way a 2nd order polynomial can have 3 zero if R2(x)eqivalenet to 0'....but how is this possible...plz say in details.i can't understand clearly

    • @numericalmethodsguy
      @numericalmethodsguy  5 ปีที่แล้ว

      Go to part 2 of the video. Also, see these blogs:
      autarkaw.org/2008/06/10/if-a-polynomial-of-order-n-or-less-passes-thru-n1-points-it-is-unique/
      nm.mathforcollege.com/blog/unique_polynomial_example.pdf

  • @SA-gt8lx
    @SA-gt8lx 7 ปีที่แล้ว +1

    So this theorem says that you "CAN'T" draw two non-identical polynomials with degree at most n, through n+1 points. What if i can do that? Then the theorem is not true?

    • @numericalmethodsguy
      @numericalmethodsguy  7 ปีที่แล้ว

      Yes, if you show it for an example, then you are set for theorem not being true.

  • @RhiGrass
    @RhiGrass 12 ปีที่แล้ว +2

    Thankyou! :)

  • @dhanushkasandaruwan4943
    @dhanushkasandaruwan4943 7 ปีที่แล้ว +1

    thank you superb...! now I realized this...

    • @numericalmethodsguy
      @numericalmethodsguy  7 ปีที่แล้ว

      Thank you. To get even more help, go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends. Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods

  • @SA-gt8lx
    @SA-gt8lx 7 ปีที่แล้ว +1

    And the xi's has to be distinct i guess?