Injective(one-to-one), Surjective(onto), Bijective Functions Explained Intuitively

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  • Опубліковано 16 січ 2025

КОМЕНТАРІ • 72

  • @zSinghsOG
    @zSinghsOG 7 років тому +20

    profs stay making this stuff 100x harder than it actually is

  • @SuperHamzamadrid
    @SuperHamzamadrid 8 років тому +21

    simple , fast and perfect keep saving us

  • @joemcdonough7509
    @joemcdonough7509 9 років тому +8

    Thank you master!! You just saved my life today! Never seen such a clear and to the point lesson.

  • @giddynun
    @giddynun 3 роки тому +6

    I learned so much is such little time. I’m great full for people like you!

  • @fredricjacob9661
    @fredricjacob9661 4 місяці тому

    been sitting at a lecture for one hour trying to understand this and now it took 5 minutes, i love you

  • @fkthebreakfastmenu
    @fkthebreakfastmenu 7 років тому +4

    Literally, this is how teachers should be explaining things - with simplicity. Thank you!

  • @Boomber123
    @Boomber123 6 років тому +25

    No numbers were harmed in the making of this video...

    • @TheMathSorcerer
      @TheMathSorcerer  6 років тому +1

      haha yeah

    • @aasthakumar1106
      @aasthakumar1106 6 років тому +2

      ....and no neurons were harmed in the viewing of the video either!

    • @keanuwick7929
      @keanuwick7929 4 роки тому +1

      @@aasthakumar1106 N no doubts remained after this video..

  • @mrboyban
    @mrboyban 4 роки тому +1

    The last Math teacher Jedi. May the force be with you

  • @ashleyyadams1401
    @ashleyyadams1401 9 років тому +7

    FINALLY , you saved me a night of headache

  • @Jeetu0301
    @Jeetu0301 6 років тому +2

    After 9 years I finally had a trick to remember this.
    Thanks.

  • @lilromain101
    @lilromain101 9 років тому +1

    By far the best and easiest to follow video on functions

  • @Foxflix
    @Foxflix 2 роки тому +1

    where have you been i've been searching and watching so many videos and longer videos
    but you just killed it in 5 min
    thanks a lot from the future of Sep 20, 2014

  • @mominahmad5575
    @mominahmad5575 9 років тому +4

    you are a great teacher.

  • @TheMathSorcerer
    @TheMathSorcerer  10 років тому +1

  • @avishig9955
    @avishig9955 4 роки тому +2

    short crisp and just to the point !! thank u !

  • @hypnokitten6450
    @hypnokitten6450 9 років тому +2

    wish everyone explained things as clearly as you! :)

    • @TheMathSorcerer
      @TheMathSorcerer  9 років тому

      Hypno Kitten awww thanks! I'm glad it made sense!

  • @filip8985
    @filip8985 3 роки тому

    my teacher defined injective as "if it takes distinct elements to distinct elements, ie if x,y ∈ A and f(x) = f(y), then x = y", that now only makes kind of sense after i understood it from your video, so thanks!

  • @keanuwick7929
    @keanuwick7929 4 роки тому +1

    Honestly, Understood
    Thx sir....🔥⚡

  • @omarmansour6766
    @omarmansour6766 3 місяці тому

    Fantastic video, been struggling with this concept, despite being simple.

  • @doesitmatter6507
    @doesitmatter6507 7 років тому

    you made it look so easy, legend

  • @BD_9333
    @BD_9333 8 місяців тому

    Thank you,I love you so much 🥺🥰😭❤

  • @captingin6
    @captingin6 9 років тому +4

    i swear... textbooks plz just make it this clear and simple

  • @subhaschakraborty2678
    @subhaschakraborty2678 2 роки тому

    Thank you Sir for this type of very easy and understanding explanation.

  • @jeboitonny1901
    @jeboitonny1901 4 роки тому +1

    Great video! Thanks a lot!!

  • @slowast
    @slowast 7 років тому +1

    It's just awesome.
    Thank you so much The Math Sorcerer
    It hit my brain so easily. :)

  • @mlfacts7973
    @mlfacts7973 2 роки тому +1

    such a great video !Thank you

  • @emamulmursalin9181
    @emamulmursalin9181 7 років тому +1

    Too good .... Astonished .... Keep it up ...

  • @rohitbirwatkar2454
    @rohitbirwatkar2454 8 років тому

    Thnks....... It was very Helpful👍

  • @isync_gaming
    @isync_gaming Рік тому

    I love this explanation thankyou ,it was good quick revision for me❤

  • @anitaberglund8745
    @anitaberglund8745 9 років тому +1

    Tackar så mycket, very nice and simple. Please show us more, Gandalf of mathematics! :D

  • @leelouie7113
    @leelouie7113 10 років тому +2

    really nicely explained thank you :)

  • @hardiknarang6631
    @hardiknarang6631 7 років тому

    It was a good effort !!! Keep it up!!

  • @RaafieNL
    @RaafieNL 9 років тому +1

    Very good, thanks so much

  • @bartdacaveman
    @bartdacaveman 9 років тому +1

    Great short explanation :)

  • @callmedeno
    @callmedeno 3 роки тому

    So you can have bijective where some in the domain don't get mapped?

  • @wax610
    @wax610 9 років тому +2

    xcellent and precise

  • @badshqrqe5763
    @badshqrqe5763 7 років тому

    Thank U for this excellent explanation

  • @humanaccount2754
    @humanaccount2754 Рік тому

    nice, thanks. so am i right to sya that words like "injective surjective bijective" describe the co-domain (or the range) and the lef-unique and all that is relating and relevant
    to the domain?

  • @shinkansen1907
    @shinkansen1907 3 роки тому

    Thank you so much!

  • @amirhaghkhah21
    @amirhaghkhah21 4 роки тому +1

    EXCELLENT!

  • @Sophiaphia_phia
    @Sophiaphia_phia 4 місяці тому

    I know this is an old vid, but I'm not understanding what the co-domain is. How is there something that's an output w/o an input??

  • @tloukgare4659
    @tloukgare4659 7 років тому +1

    that is perfect

  • @RBSRG
    @RBSRG 8 років тому +1

    Cannot thank you enough

  • @MileeWilson
    @MileeWilson 9 років тому +1

    His definitions are so hip.

  • @birajpokhrel4441
    @birajpokhrel4441 8 років тому

    thanxs

  • @malcolmhollett8638
    @malcolmhollett8638 2 роки тому

    beautiful

  • @megha4785
    @megha4785 8 років тому +1

    HIS VOICE IS SO

    • @TheMathSorcerer
      @TheMathSorcerer  8 років тому +1

      +Meghana Kandarpa LOL yeah I know, terrible voice:)

  • @wolfcompany2
    @wolfcompany2 4 роки тому +1

    not surjective and not injective looks exactaly the same

  • @glassfish7207
    @glassfish7207 Рік тому

    E.