15-year-old did mathematical research?! What was my thinking process back then?

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  • Опубліковано 5 вер 2024

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  • @mathemaniac
    @mathemaniac  4 роки тому +31

    This is not clickbait! Check the link in the description to see what I wrote back then.
    If you enjoyed this type of videos, please let me know because it is fun for me to make and I want to make some of these once in a while as well! If you don't like this type of videos, you can also let me know so that I would reduce the frequency of these types of videos.
    And again, you can log your math levels in a Google form linked in the description (and if you are too lazy to click the "show more" button, here it is: forms.gle/QJ29hocF9uQAyZyH6

    • @1paper1pen63
      @1paper1pen63 4 роки тому +1

      Hmm it was a nice video. How old are you now?

    • @mathemaniac
      @mathemaniac  4 роки тому +3

      Thanks so much for your nice reply. My age is not too far from 15:)

    • @mathemaniac
      @mathemaniac  3 роки тому

      @Yódhgæ Shrifjå I really haven't heard of these books, but I will check them out! Thanks for the appreciation!

    • @lexinwonderland5741
      @lexinwonderland5741 Рік тому

      @@mathemaniac my guess was closer to 24 O.o

    • @feelfree.1
      @feelfree.1 8 місяців тому

      @mathemaniac You are very talented! 😀👍🏼
      I have a puzzle for you: +1, -1, -1,+1, -1,+1,+1,-1,...
      Find out how this sequence continues and look at the graph, when you keep summing those numbers (integrating the function several times). I find the result looks amazing

  • @steve2817
    @steve2817 3 роки тому +112

    I'm 13 and I love your topics and works. Combinatorics stuffs are much harder than other stuffs I think... wow. :)

    • @mathemaniac
      @mathemaniac  3 роки тому +18

      Thanks for the comment! I feel that "hard" is in the eye of the beholder though, and maybe this will change when you learn more in mathematics!

    • @jessehng1896
      @jessehng1896 3 роки тому +10

      Analytic number theory, real analysis, Topology, knot theory, lie algebra and many more: Am I a joke to you?

    • @aryadebchatterjee5028
      @aryadebchatterjee5028 2 роки тому +17

      @@jessehng1896 he was 13 bruh , he only knows stuff like elementary number theory,elementary combinatorics and maybe calculus to the level of single variable integrals what more do u expect ... :)

    • @FinnFinn-h8x
      @FinnFinn-h8x 23 дні тому

      @@aryadebchatterjee5028 I recently turned 14 and I finished vector calculus at 13. I’m planning on learning differential equations and manifolds to finally understand generalized stokes theorem.

  • @bilubilu2481
    @bilubilu2481 4 роки тому +48

    Really interesting puzzles, Btw I'm 15 now and that made me think about my math journey, I also did an website when I was 12 and now am learning calculus.
    Awesome content. Congratulations and good luck.

    • @mathemaniac
      @mathemaniac  4 роки тому +9

      Awesome that you like math at a young age! Good luck on your math journey!

  • @aviralsood8141
    @aviralsood8141 4 роки тому +22

    This channel is so underrated. I really love your content.

  • @standowner6979
    @standowner6979 2 роки тому +41

    I got into maths later than most (I was 17). What brought my curiosity was modern algebra and differential equations.

  • @yashagrahari
    @yashagrahari 3 роки тому +10

    Your contents are really as effective as those of 3 blue 1 brown or mathaloger .
    You deserve more than million subscribers. Thank you so much.
    May you progress a lot. Keep on.

  • @planaritytheory
    @planaritytheory 3 роки тому +9

    I really enjoyed this video, thanks for sharing your story.
    I'm sure you realize by now that the entire purpose of such competitions is for people like yourself to have experiences like the one you described here.
    It doesn't matter what mathematical modeling is (well, it's important that _some_ people care about it, but that doesn't have to be you), and the medals themselves are without a doubt the least important part of the whole thing.
    You're on the right track (or, at least, _a_ right track)--just keep going!

  • @blazedinfernape886
    @blazedinfernape886 3 роки тому +7

    I loved the story so much.

  • @aryankumarprasad1574
    @aryankumarprasad1574 3 роки тому +9

    I am 19, got admitted into a maths UG program yesterday and it maked my day

    • @mathemaniac
      @mathemaniac  3 роки тому +1

      Congratulations! Are admissions that early?

    • @aryankumarprasad1574
      @aryankumarprasad1574 3 роки тому +1

      @@mathemaniac In my country admissions are generally around June, this year it got postponed due to the pandemic.

    • @mathemaniac
      @mathemaniac  3 роки тому +3

      Oh I see. Good luck with your studies!

    • @devd_rx
      @devd_rx 2 роки тому +1

      Which college did u get admitted to?

    • @aryankumarprasad1574
      @aryankumarprasad1574 Рік тому

      @@dewdrop198 Was in Sri Venkateswara, DU. Currently doing a PhD from NISER

  • @gregsouza7564
    @gregsouza7564 11 місяців тому +3

    As a 16 year old this video inspired me to work on the same problem. And I actually managed to prove an upper bound of cuberoot(7)^{(n+1)^2} SAW's on an n by n grid!

  • @benjaminojeda8094
    @benjaminojeda8094 10 місяців тому

    I really liked this video, it reminded me of when I was 14 years old and I became obsessed with mathematics, I was discovering new properties for myself, such as the polar formula of complexes or the generalizations of Pascal's triangle to higher dimensions, then I realized that they had already been discovered, anyway it was very fun, now I am studying mathematics and I am in the best stage of my life... :D

  • @meenaakshimunjal5184
    @meenaakshimunjal5184 2 роки тому +6

    I am 15 and proved the inclusion exclusion principle on my own using induction.

  • @gashery
    @gashery 9 місяців тому

    Hey! This was a really nice presentation of an interesting question. Well done!

  • @feelfree.1
    @feelfree.1 8 місяців тому

    You are very talented! 😀👍🏼
    Maybe the following will be interesting to you:
    Find out how this sequence continues and look at the graph, when you keep summing those numbers (integrating the function several times):
    +1, -1, -1,+1, -1,+1,+1,-1,...

  • @pauselab5569
    @pauselab5569 11 місяців тому +2

    the only useful thing I independently rediscovered was binomial distribution when I was 13. I was thinking about the probability of getting exactly n times the number 2 after m rolls. the argument I had and the result was pretty much the exact same as the one you would find in most textbooks(don't know how I hadn't known about such a famous part of probability). I guess I got lucky knowing about pascal's triangle and its connection with combinations because I had no idea how to turn arithmetic sequences into closed forms.

  • @nicepajuju3900
    @nicepajuju3900 3 роки тому +2

    Wow thanks man this is inspirational

  • @ongmingyuan
    @ongmingyuan 8 місяців тому

    Sounds pretty sophisticated and original to me!!

  • @arielfuxman8868
    @arielfuxman8868 3 роки тому +6

    Wow, probs. I am 16 and recently found some interesting result in analysis. Combinatorics is a hell of a topic, makes your brain hurt.

  • @100iqgaming
    @100iqgaming 3 місяці тому +1

    there i was thinking i was impressive for proving the quadratic formula when i was 15, damn

  • @JojiThomas7431
    @JojiThomas7431 3 роки тому +1

    This is also something I had also done. I meant the original work but figured out it was pretty much not original. So, I know how you feel.
    Good video though

  • @زكريا_حسناوي
    @زكريا_حسناوي 2 роки тому +1

    جميل جداً أن يكون للشخص طموح ورغبة فيما يفعله، نعم مشكلة أن تكتشف شيئا بمفردك ثم تعثر على وجوده مسبقاً قد تسبب الإحباط بعض الشيء وقد حدثت معي بالفعل في عدد كبير من الأشياء، لكنه أيضا امر جميل، مشكلتك مثيرة للاهتمام وقد عمل عليها العديد من علماء الرياضيات وقد توصلت اليه بمفردك، هذا يدعو للفخر، بالنسبة لعدد المتاهات الممكنة لم أدرس الامر بعد ولكن يمكنني ذكر حل بسيط للغاية وهو أن كل خط في الشبكة إما أن يكون موجودا او غير موجود لذا له احتمالان، وبذلك عدد المتاهات الممكنة يساوي 2 مرفوعة لقوة عدد الخطوط، ولكن طبعاً هذا يتضمن متاهات تحوي مسارات مغلقة لا يمكن السير فيها، لمعرفة العدد المضبوط بتجنب تلك المتاهات علينا ان نطرح من الناتج عدد الحالات التي يكون هناك مربع لا يمكن التجول فيه، وعدد الحالات التي يكون هناك مربعين لا يمكن التجول فيهما وعدد الحالات التي هناك ثلاثة مربعات لا يمكن التجول فيها وهكذا....
    ولكن كان لدي سؤال فيما مضى بخصوص المتاهات ولا أعتقد أنه صعب لكني لم أدرسه، وهو أنه إذا كان لديك حل معين لمتاهة تم اعطاؤه لك جبريا فكيف يمكنك تخفيض هذا الحل إن أمكن ذلك دون اللجوء إلى الرسم، يعني اكتشاف امكانية التخفيض وإجراء عملية التخفيض يجب أن تجري بطريقة جبرية، التخفيض طبعاً يتم من أجل التخلص من الخطوات التي تمت زيارتها أكثر من مرة أو الطرق المتقاطعة ذاتياً، اتمنى من يستطيع اجابتي ان يتفضل مشكورا
    وأيضا انا معجب حقا بشخص قام بهذه الاشياء بعمر ١٤ سنة

  • @Pete-Prolly
    @Pete-Prolly 3 роки тому +10

    It sounds like you were young, learning, etc., so I don't think you should be too hard on yourself; that's how you learn to do research as I understand it: by preparing. Remenber, NOONE was born with the answers; not your professors not people with the gold medals, not John Nash or Riemann or Russell or whoever your favorite "rock stars" of Math are. (Except for Ramanujan, lol, he may have been born with a direct line and an operator connecting him to every integer lol. (No, he worked hard.))
    The best part is your enthusiasm and while you may have coveted the awards or recognition of "big time" Mathematicians, I would wager that there are far more of them who might covet and envy your enthusiasm!! I mean this sincerely.
    Never stop loving that which you are passionate about!!!! 😀😀😀

    • @mathemaniac
      @mathemaniac  3 роки тому +1

      Thanks for the word of encouragement! I have definitely been too hard to myself back then, but when I looked back, it is quite an achievement! The reason I have to self-deprecate a bit is just to make the video more interesting, though.

  • @koktszfung
    @koktszfung 2 місяці тому

    This is inspiring

  • @gabitheancient7664
    @gabitheancient7664 3 роки тому +3

    that's the spirit, fuck real life, I want to solve random puzzles that are difficult and that probably have nothing to do with nothing

  • @gabrielmartins7642
    @gabrielmartins7642 3 роки тому +3

    Haha i get you :p . I think your approach was very interested indeed. Sometimes the pure mathematical way is more compelling.
    Btw : at 16 I was supper focused on solving zeta of 2. If it isn't spoiled for you, I highly advice giving it a try lol \0/.

    • @mathemaniac
      @mathemaniac  3 роки тому

      I am quite some years older than 15 now, and zeta(2) has also already been discussed in other channels already, so it is already "spoiled" for me :)

    • @benYaakov
      @benYaakov 3 роки тому

      @@mathemaniac very clever

  • @srikanthtupurani6316
    @srikanthtupurani6316 Рік тому +1

    Amazing.

  • @sgktroller715
    @sgktroller715 2 роки тому +2

    I am also 15....and i love math very very much...
    I also learnt calculus and then also tried providing a new formula for the reimanns hypothesis!

  • @aashsyed1277
    @aashsyed1277 3 роки тому +1

    that music reminds me of........mathologer!

  • @finnboltz
    @finnboltz 6 місяців тому

    Why did you lose the files of your maths website?

  • @shalvagang951
    @shalvagang951 2 роки тому

    and i want to ask that if we want to do research in something it is compellsory to do phd in it or we can do reserach without doing phd in it

  • @crpfx302
    @crpfx302 7 місяців тому

    ❤❤

  • @barracuda7361
    @barracuda7361 Рік тому

    just wow

  • @shalvagang951
    @shalvagang951 2 роки тому

    i also want to know that how you got this for your research means how you first find your research topic ........ btw what your age now

    • @shalvagang951
      @shalvagang951 2 роки тому

      i whish i had like our math teacher who suggest me like this

  • @steelbrotherhoodof2359
    @steelbrotherhoodof2359 Рік тому

    so the right path is the longest path ?

    • @steelbrotherhoodof2359
      @steelbrotherhoodof2359 Рік тому

      then going indirect as possible could deliver the right path. it is the route with the longest travel duration but with the shortest distance (a) the correct distance, wich is also the longest distance (b). depending on your navigation skills and manouvreability.
      1.do you know where you are at any given point ?
      2.do you know where you came from ?
      3.do you know where you need to be ?
      4.do you know you start time ?
      5.do you know total travel time upfront ?
      6.do you got countless trials ?
      like in how many trials do you must be correct. given it unlimted time and vectors. you will reach there merely by chance. even skipping a few wrong ways.
      i thought. in points coordinates
      i am on point a
      i want to go to point b
      there is a chance to get obstacles
      then i draw a straight line from a to b.
      then put an imagination point c there. so the route forms a triangle.
      then i dont go to point b.
      i go to 45 degrees or 90 degrees.
      under point b
      and then straight from point c to point b
      if there are more routes.
      it works for scouting.
      in a maze it was. always take a left turn or so.
      but your solution is way cool.

  • @pradipchaterjee9576
    @pradipchaterjee9576 2 роки тому +2

    Currently doing mathematics research in prime numbers
    And found the following
    Results
    All only applicant for prime numbers of 2 digits and more
    The difference between the 2 prime number is always even
    The prime can only end with 5,7,3,1,9 .
    A prime has only 2 factors
    A prime can be written as a number which assertively can be added in such a way that their isn't a single combination in which the adders have common factors in

  • @ndelo4947
    @ndelo4947 2 роки тому

    Salt ⚠️... 😍

  • @pabdavinchi
    @pabdavinchi 3 роки тому +1

    That was great! But a little bit salty ;-)

  • @meerawalyan4980
    @meerawalyan4980 2 роки тому

    I find your channel randomly and I have to say it's my one of the best discoveries of my life.....
    I remember when I was of 13 years I found formula for roots of cubics and quadratics to solve them in much easier way I had also worked on some algebraic unknown identities when I showed all this to one of my teacher he and said your formulas and all this are correct and new but your work can't be published because formula for finding roots and all the algebraic stuff is far from general mathematics then I felt sad now I am of 14. Can you please tell me do my teacher was correct or not? Please reply me and if yes than what the basics are needed to be called like a mathematical stuff.I mean some qualities that a formula should have?
    Please reply me. It's a request plzz
    ( I am still working and had worked on progressions and found some new one and gave the basic formulas of them)
    That's why please reply me for the sake of my future

    • @rafiihsanalfathin9479
      @rafiihsanalfathin9479 2 роки тому

      What is the formula

    • @meerawalyan4980
      @meerawalyan4980 2 роки тому

      @@rafiihsanalfathin9479 Can't tell them Hope you will understand but sir can you plz help me that what are the basic things should be there in a formula to be called as a pure mathematical formula

    • @meerawalyan4980
      @meerawalyan4980 2 роки тому +1

      @@rafiihsanalfathin9479 Sir honestly speaking I have many new and effective formulas which are correct and want to publish them or show to a mathematician like ramanujan ji did he sent his letter to Hardy. Should I do the same sir?

  • @sorryformycommentsnowiamch1158
    @sorryformycommentsnowiamch1158 3 роки тому

    Tell us about you
    A qna video

    • @mathemaniac
      @mathemaniac  3 роки тому

      Might do it in the future, but not now :)

  • @prakharanand7012
    @prakharanand7012 3 роки тому +1

    I've written no websites.... But I have understood quantum mechanics, and am always curious from the day I was born(lol)
    So now yea, I'm learning calculus, I thought it would be much difficult for me... But it's easy once u know how to imagine...
    So can u pls tell me wut I should work on?
    (Along with calc and quantum of course) O yes I'm 15 🙋‍♂️
    And some math topics I can think on
    Rlly wanna know ur story a bit too

    • @mathemaniac
      @mathemaniac  3 роки тому +6

      I highly doubt you can learn quantum mechanics before calculus... so do learn calculus first. Depending on your local maths curriculum, you are probably learning calculus at school anyway.
      I actually didn't *learn* new maths in high school to be honest, but I spent a lot more time trying to solve mathematical problems (not in textbooks), which honed my problem-solving skills and writing skills A LOT. I don't like solving problems in the traditional way either, so I always think of a better, more beautiful way to solve those problems.

    • @prakharanand7012
      @prakharanand7012 3 роки тому

      @@mathemaniac u r very correct but I'm not learning calc at school,.... I'm in sophomore, maybe ur wondering how but u can understand😉(I'm not over aged, oppositely, I'm an year early)
      Yes I also really don't like the way they solve probs according to a so called "syllabus"
      But I'm also a freethinker like u.... I'm very happy to see that.
      So where should I work on?
      I'm fully ready, to start at ur advice, while I have already started calc, and higher algebra and (here in India, the level of difficulty is of college level in high school) so here, I'm studying maths and physics particularly, cuz I'm more passionate about physics, and also maths of course, they r almost the 2 sides of a coin.
      (Waiting fr some advice)
      I'm also aiming for olympiads, cuz they require deep understanding
      (and also help getting into a good college lol)
      A side note, here in India, children r forced to get into engineering, or med. Mostly it's engineering and the best colleges are the IITs, here, the college selection just needs a good rank in an entrance exam(..... That's why it's annoying, but at the same time, the JEE advanced has good questions, so I'll try it)
      But my goal in life is rather to explore this universe, which technically can't be done in India uk why
      So now, I'm aiming for US colleges, most passionate indians do that.
      So now dat u understand my situation, pls give some advice.... In increasing my level, wut u did

    • @mathemaniac
      @mathemaniac  3 роки тому

      That's what I said - I really stopped learning *new maths* as in that I pretty much don't read university level maths in high school, and actually I learnt quite a lot just from solving problems. Olympiad might be something good to try, and it does expose you to a lot of new problems and theorems you wouldn't have seen in school.
      Calculus really is a must. You will not get anywhere without it, so learn it now, and learn it well.
      If you really want something more, I really like group theory, but even if it is a more pure mathematical subject, it has profound applications in theoretical physics as well. So you can start on that. If you want to check out my video series on group theory, you could, but there are also other good resources of group theory out there :)

    • @prakharanand7012
      @prakharanand7012 3 роки тому

      @@mathemaniac thank you sir

  • @domc3743
    @domc3743 3 роки тому

    how old are you now sir?

  • @telotawa
    @telotawa Рік тому

    lol lucky you, i doubt any of my math teachers in school would have ever heard of self-avoiding walks (american school is baad)

  • @steelbrotherhoodof2359
    @steelbrotherhoodof2359 Рік тому

    there is source code on the internet from video games. too plot routes.
    video games where the ai player has routes algoryhtme on a random map. are called real time strategy games.
    like:
    dune 2 from virgin games
    warcraft from blizzard
    command and conquer from west wood and electronic arts.
    in 3 d space.
    tge quake 3 "bot," source code from id software is excellent for a computer to navigate in 3 d generate spaces. and even have some cool combat moves.
    have fun.

  • @finnboltz
    @finnboltz 6 місяців тому

    Why did you lose the files of your maths website?