Modular Arithmetic and Modulo Congruence

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  • เผยแพร่เมื่อ 28 พ.ย. 2024

ความคิดเห็น • 27

  • @manuelavendano2199
    @manuelavendano2199 4 ปีที่แล้ว +4

    Very well organized video, it shows how much time and effort you took to make it, keep up the good work man!

  • @davidwoznerable6750
    @davidwoznerable6750 3 ปีที่แล้ว +1

    That was an amazing explanation. Good job!

  • @mathkul3t
    @mathkul3t 4 ปีที่แล้ว +1

    Yowwnnn🙂 nice one sir🙂

  • @maq88
    @maq88 2 ปีที่แล้ว

    wow! great job. thanks for these video. i really helps me in my report...

  • @ilanbar1970
    @ilanbar1970 4 หลายเดือนก่อน

    Thank you! Well explained

  • @IODell
    @IODell 3 ปีที่แล้ว

    Great video. Thank you.

  • @joypaul340
    @joypaul340 3 ปีที่แล้ว

    Excellent

  • @mariabernardez6345
    @mariabernardez6345 3 ปีที่แล้ว +2

    aaaaaah, this vid is amazing!!! thank youuu

  • @monroeclewis1973
    @monroeclewis1973 3 ปีที่แล้ว

    Clearer than a mountain spring.

  • @diegoamaya5756
    @diegoamaya5756 ปีที่แล้ว

    Thank you so much

  • @2kool893
    @2kool893 3 ปีที่แล้ว +1

    What software is used to generate mod wheel

    • @xanmos
      @xanmos  3 ปีที่แล้ว

      I am using FinalCut Pro X in all my videos. Though the “modular arithmetic wheel/clock” is a series of gif images i built in Powerpoint :)

  • @reesesashamorito7303
    @reesesashamorito7303 2 ปีที่แล้ว +2

    For 3-20 in mod 5, it should've been 2 or -2 as the remainder and not 3.

    • @xanmos
      @xanmos  2 ปีที่แล้ว +1

      3 minus 20 is -17… and add 5 multiple times, and you’ll get 3. Not 2. That is why 3 - 20 at modulo 5 is 3.

    • @bridgetesi8935
      @bridgetesi8935 ปีที่แล้ว

      @@xanmos i dont get that part because i also got the answer as two

    • @catherinegutierrez2024
      @catherinegutierrez2024 ปีที่แล้ว

      you may also apply the concept in determining a modular equation if it's a True congruence or not such that (a-b)/n should result in an integer
      by trial & error (a - (-17))/5
      we can substitute a={0,1,.., n-1} = {0,1,2,3,4}
      when a= 3: (3 + 17)/ 5 = 4 ( wherein 4 is an integer)
      therefore a= 3
      3=-17mod 5

  • @AzharKhan-fb6qv
    @AzharKhan-fb6qv 3 ปีที่แล้ว

    Hi my questions is that:
    10 is congruent to 2mod(4) because 10-2 =8 which is divisible by 4. But 10 and 2 do not have the same remainders. Is’nt this a contradiction. Plz help, i’m stuck

    • @xanmos
      @xanmos  3 ปีที่แล้ว

      10 and 2 have the same remainder, which is 2, when divided by 4.
      10 divided by 4 is 2 remainder 2,
      while 2 divided by 4 is 0 remainder 2.

  • @jezabelespila8419
    @jezabelespila8419 2 ปีที่แล้ว

    di ko po maintindihan yung sa 3-20. bakit po naging 3 yung remainder?

    • @xanmos
      @xanmos  2 ปีที่แล้ว

      3 - 20 is -17
      So at modulo 5, you just have to keep on adding 5… until you get a number from 0 to 4
      And that is 3.

    • @gwynethfaner5741
      @gwynethfaner5741 2 ปีที่แล้ว +1

      @@xanmos pero magiging 15 po yon pag kineep up ang pag aadd then pag mininus is magiging -2 or 2 kase yon ung remainder?pa reply po thanks po medyo nalito lng po

    • @reesesashamorito7303
      @reesesashamorito7303 2 ปีที่แล้ว +1

      @@gwynethfaner5741 same here. also confused with the 3-20 and his answer being -3

  • @marilynvlogsss5378
    @marilynvlogsss5378 2 ปีที่แล้ว

    Please help me paano po naging 10 Ang 208÷10=20.8 Hindi po ba bakit 208 naging 10

    • @xanmos
      @xanmos  2 ปีที่แล้ว +1

      Remember that modulo arithmetic is the Remainder, so 208 mod 10 is 8 because 208 when divided by 10 gives us a remainder 8.

  • @little_paul93
    @little_paul93 2 ปีที่แล้ว

    11:02 true or false lahat po is False pa check po.Thank you!

    • @dr024
      @dr024 2 ปีที่แล้ว +1

      -17 is congruent to 10 mod 3 because -17 and 10 have the same remainder (1) when divided by 3
      85 is congruent to -5 mod 9 because 85 and -5 have the same remainder (4) when divided by 9.
      80 is not congruent to 12 mod 8, because 80 has a remainder of 0, while 12 has a remainder of 4 when divided by 8.

    • @little_paul93
      @little_paul93 2 ปีที่แล้ว

      Ay tama pala , nakalimutan ko i subtract pa yung result sa modulo pag negative