1. Analyse the problems deeply and understand it. 2.Be able to notice patterns in how problems are solved. Be able to notice more probable paths to take when solving questions but sometimes the less probable path is correct.
I have been solving math problems for 5 years and only understood this at year 3, this saves you years of work ! Great content, very valuable advice indeed !
I really enjoyed the video! It reminded me of how I used to identify patterns and theories in prep classes.Your explanation has given me a new perspective on a method I was using without even knowing it. Keep up the amazing work!
I think what he is saying is what pretty much any high iq athlete does, after experiencing so many different situations the brain after one or 2 cues decodes the most possible whole scenario of for example a basketball play, next thing the bball athlete does is respond without forcing his brain in a fluid "I know whats going to happen next because I have already encountered this play and also have the counter and will proceed to flawlessly execute it". LeBron James is a great example of this, as soon as any player moves he knows whats goin on in the whole court, pattern recognition is a great skill, some people are just geniuses at it.
You put a bad example for a basketball player altough i agree with you in your idea. If you played basketball you would know why lebron is as good as he is and its certainly not because of his basketball iq. Good examples of players who can read the game really well are luka doncic, ricky rubio, milos teodosic, nikola jokic... Lebron is a one of a kind athlete who never had to develop those skills in order to succeed in basketball, he just bullied them out of the way to the basket. Hence why he only developed a jumpshot when he got older and couldnt do that so consistently anymore.
I think the matter kind of boils down to looking for various ways of discovering patterns, finding similarities between patterns, and classification of patterns (abstraction of patterns). Though, it seems that everyone has different sensitive for different patterns. For example, a person who examines deeply about the idea of "points", "metric", "distance", and "neighborhood" can come up with the idea of general topology, and maybe some specific theory that tries to capture those features. But say, that person might not be as familiar with combinatorics and number theory, and on the other hand someone who's good at those might not be good at grasping topology. Those who do well in both can do combinatorial topology but might not be good at some other intersections of topology. There are logic/set/category/type theorists who are sensitive to patterns like "size of a sets", "relations between objects", "formal classifications", etc. In that sense, it's really hard to define what "thinks like a genius" is as I don't think we have shown there's a unified way of thinking about everything that captures most features.
Best way to see is who has the best natural intuition. Intuition is really hard to build as you need to solve hundreds of the same problems if not more. Some people on the other hand are born with it and they may not need to solve 100, but only 5...
I managed to solve turbo the snail problem while watching this video. It was like a Ted puzzle. The answer is 3. I think the problem was esy and simple so it stumped many students who thought it to be super-hard seeing the level of the exam.
Awesome videos and channel! I can get tips from the tops! I also want to become atleast 20% of them... I like math very much but problems solving is hard. Actually the most hard thing for me when solving problem is that if I have seen the idea before I am to solve the problem most of the time. (ofcourse my level is not national olympiads, lower than that) But real difficulty I face is that when I get a knew problem I just look at it just look and it and read it multiple time but don't get what to try in it ! I mean people constantly say that "try the problem with diffierent approache if one fail" this it gets hard for me I am able to implement this step in very few problems because i don't hint on what to try, how to start...
if it was easy everybody would be able to do it. To be among the top you need to work harder and smarter, keep refining your mental map as mentioned in the video and you will be part of the top 20%-10% ;)
Hello, I'm in the same situation like you I want to participate in math olympiads but I feel like my thought process is not fluent, but more fragmented and it's hard to know when to change the method but I hope I can succeed and I hope you will too! Good luck!
@@niriota173 yeah the reason everyone should try their best is not because natural talent doesn't exist, but because it often only shows itself if you actually try.
@@niriota173 I don't think you need a special brain that can "support" and "run" genius. Implying "normal"(non-special) brains can't "run" it and "support" it. I think it's much like having certain algorithms(the way you think) that run on your brain. You might not get graphics or immersion as good as you would on a better machine(because it's calculations per a unit of time), but you can make the same calculations only a bit slower and less efficiently. That is of course, if you run the SAME algorithms. By thinking in a different way you can increase the efficiency of calculations. We're all human though, and don't our brains posses the same faculties, despite being different in structure, to an extent? If you thought the same thoughts Gauds did, thought by thought, wouldn't you make the same discoveries? What could higher iq bring to the game, that we can't *eventually* figure out, and turn into regular *methodology*? Great minds seem to agree with this, e.g. Gauss: "If others would but reflect on mathematical truths as deeply and as continously as I have, they would make my discoveries." Einstein: "I have no special talents, I am only passionately curious." Delacroix: "What makes men of genius, or rather, what they make, is not new ideas, it is that idea - possessing them - that what has been said has still not been said enough." Rimbaud: "Genius is the recovery of childhood at will." Tesla: "The scientists of today think deeply instead of clearly. One must be sane to think clearly, but one can think deeply and be quite insane." Also, the structure of your brain does change as you use it(neuroplasticity).
@@niriota173 not little unfortunately, but a lot. An average person would have to probably be solving math problems for hundreds of years to get to the point of this guy in the video
It's the same as chess really. Most of the time, tactics rely on pattern recognition. This means having seen a similar position before and automatically know what best move to use.
Do you have any advice on developing the thinking or how to build mental maps? I think it’s like a learnable skill The math Olympiad level is very high but a skill for building mental maps could be beneficial for any learning
If you notice recurring patterns like 2^n, X^2, or pairs of numbers differing by 1, and the solutions rely on similar concepts across different problems-such as induction, modulo 4, or the pigeonhole principle- then that should be part of your mental map: join us on our Discord to discuss further! You’ll find the link in the description.
_If I have no_ _outstanding_ _unanswered_ _questions, then I_ _must know_ _everything!_ [Dunning-Kruger effect] …BUT… A genius asks questions that no one else ever thought of, befiore.
@@chadmongoose that's a classical technique to show that there are no solution, take for example : X^2 - 2 = 0, are there any integer solutions? well if you take it mod 4 you get X^2 = 2 mod(4) which is not possible because a square is either 1 or 0 mod 4 ( you can prove it by considering the cases: X odd or X even) Hence we conclude that there are no integer solutions.
I'm sorry to hear you're struggling with university math. Here are some strategies that might help: - Practice Regularly - Connect Concepts: Try to link new topics with concepts you've already learned. Understanding how different areas of math are interconnected can make it easier to grasp complex ideas. - Analyze Past Exams - Practice Regularly
Noting special here. This guy has just developped an array of solving methods for a bunch a problem after spending hours doing math problems. No big news.
@@ericzhou8980 prejudices + why do you not let people say obvious things if they want to, moreover when some people (you and me aside) needs to hear/ read this analysis. ( and yes removing this useless comment of yours was a good idea)
@@prismatic-bl8qf It is just facts, as a viewer not telling a lack of interest in a content is more detrimental for the creator that will not be able to improve. This creator is certainly more open to a constructive criticism than you are. It is your choice "bro" to let this creator do "goddamn youtube tips" and to "leave him alone" without feedbacks.
1) be born with an extremely high IQ 2)think as it comes natural to you 3) youre thinking like a genius lol (There is no way otherwise, dont get tricked into thinking you can learn to think like a genius, you cant, its plain scam if they convince you otherwise, genius is about your processing speed and memory, the thinking machinery and algorithms emerge naturally from that, you cant take those from the verbal description of them from a genius and try to emulate them, it wont work, you lack the raw mental power to run them, and it being a verbal description of their mental processes makes it pretty sparse too, so not very generalizable, which is the whole point of fluid intelligence anyways, in short, the mental strategies and algorithms you can reliably implement and internalize are the ones that emerge as you solve problems and are compatible with your intelligence level, geniuses will generalize better from the same problems and will see deeper relations)
@@Ackerman111_ pretty much, most of the advices can be summarized in "understand the problem and then focus on it", specific strategies they usually talk about like break it domn in pieces etc are already well known and usually come natural as you try to solve the problem and indentify that the thing that makes it complex is having multiple independent parts
@@quantumspark343 yea , like most of the videos I've watched said the same thing ANALYSE and then you'll be able to do it . Nowadays everyone gives the same clichè advice, to the point I can most of the time predict what they r gonna say
You're missing the point I feel, IQ is not static. Pattern recognition is something for which one might have talent but it can be very well learned, like anything. It is literally a skill you can learn anywhere but where it is most rewarding is in the Mathematics degree. When you get the diploma you have already solved +1000 problems on pattern recognition and probably spent +3000 hours doing them. After that point your logical thinking has improved dramatically and can think like a genious (or at least perceived as one by the majority of the population).
1. Analyse the problems deeply and understand it.
2.Be able to notice patterns in how problems are solved. Be able to notice more probable paths to take when solving questions but sometimes the less probable path is correct.
In other news....water is wet.
@@v-7815exactly
@@v-7815 😭😭😭😭😭
It seems like great advices for me resolving my chess exercices.
@@v-7815 what?
I met this guy at the 2024 IMO. Didn't expect him to be this legendary lmao! Thank you for the insights :D
you are also legendary to have made it into the IMO dude, keep going and good luck
@@HungNguyen-bj4xr thank you! I didn’t get anything in my first try (2024) but I’ll come back stronger!!
@@milkb4cereal_23could you give a little bit of your perspective of solving maths
which country are u from
@@HungNguyen-bj4xr lol these people are overrated. How much do they f is the important question. And, how happy are they.
Bro is talking in deep neural network language.
growing up is realizing that the brain is just a probabilistic machine
@@syelf2217 nerd
Everyone watching the video is a nerd, bro. It’s not letting me reply to your comment but you know who I’m talking to.
@@peeper2070 womp womp
Bro what 😮🤯 @@syelf2217
I have been solving math problems for 5 years and only understood this at year 3, this saves you years of work ! Great content, very valuable advice indeed !
I really enjoyed the video! It reminded me of how I used to identify patterns and theories in prep classes.Your explanation has given me a new perspective on a method I was using without even knowing it. Keep up the amazing work!
I think what he is saying is what pretty much any high iq athlete does, after experiencing so many different situations the brain after one or 2 cues decodes the most possible whole scenario of for example a basketball play, next thing the bball athlete does is respond without forcing his brain in a fluid "I know whats going to happen next because I have already encountered this play and also have the counter and will proceed to flawlessly execute it". LeBron James is a great example of this, as soon as any player moves he knows whats goin on in the whole court, pattern recognition is a great skill, some people are just geniuses at it.
You put a bad example for a basketball player altough i agree with you in your idea. If you played basketball you would know why lebron is as good as he is and its certainly not because of his basketball iq. Good examples of players who can read the game really well are luka doncic, ricky rubio, milos teodosic, nikola jokic... Lebron is a one of a kind athlete who never had to develop those skills in order to succeed in basketball, he just bullied them out of the way to the basket. Hence why he only developed a jumpshot when he got older and couldnt do that so consistently anymore.
I think the matter kind of boils down to looking for various ways of discovering patterns, finding similarities between patterns, and classification of patterns (abstraction of patterns).
Though, it seems that everyone has different sensitive for different patterns.
For example, a person who examines deeply about the idea of "points", "metric", "distance", and "neighborhood" can come up with the idea of general topology, and maybe some specific theory that tries to capture those features.
But say, that person might not be as familiar with combinatorics and number theory, and on the other hand someone who's good at those might not be good at grasping topology.
Those who do well in both can do combinatorial topology but might not be good at some other intersections of topology.
There are logic/set/category/type theorists who are sensitive to patterns like "size of a sets", "relations between objects", "formal classifications", etc.
In that sense, it's really hard to define what "thinks like a genius" is as I don't think we have shown there's a unified way of thinking about everything that captures most features.
Best way to see is who has the best natural intuition. Intuition is really hard to build as you need to solve hundreds of the same problems if not more. Some people on the other hand are born with it and they may not need to solve 100, but only 5...
This is a really good pathway to improving LLM reasoning in general (Math specifically). His system eludes to MCTS + Relational Database.
I managed to solve turbo the snail problem while watching this video. It was like a Ted puzzle. The answer is 3. I think the problem was esy and simple so it stumped many students who thought it to be super-hard seeing the level of the exam.
Awesome videos and channel! I can get tips from the tops! I also want to become atleast 20% of them... I like math very much but problems solving is hard. Actually the most hard thing for me when solving problem is that if I have seen the idea before I am to solve the problem most of the time. (ofcourse my level is not national olympiads, lower than that) But real difficulty I face is that when I get a knew problem I just look at it just look and it and read it multiple time but don't get what to try in it ! I mean people constantly say that "try the problem with diffierent approache if one fail" this it gets hard for me I am able to implement this step in very few problems because i don't hint on what to try, how to start...
if it was easy everybody would be able to do it. To be among the top you need to work harder and smarter, keep refining your mental map as mentioned in the video and you will be part of the top 20%-10% ;)
Hello, I'm in the same situation like you I want to participate in math olympiads but I feel like my thought process is not fluent, but more fragmented and it's hard to know when to change the method but I hope I can succeed and I hope you will too! Good luck!
Hmmm, so having the tools to solve the problems AND working on pattern recognition is the way
this video is gonna go viral
1. be a genius 2. work a lot
1. work a lot to be a genius
2. work even more to be even more genius
3. do a lot of math to be a math genius
@@RandomGuy-yf4wfnah there are people that are naturally talented and it gives them a little advantage
@@niriota173 yeah the reason everyone should try their best is not because natural talent doesn't exist, but because it often only shows itself if you actually try.
@@niriota173 I don't think you need a special brain that can "support" and "run" genius.
Implying "normal"(non-special) brains can't "run" it and "support" it.
I think it's much like having certain algorithms(the way you think) that run on your brain. You might not get graphics or immersion as good as you would on a better machine(because it's calculations per a unit of time), but you can make the same calculations only a bit slower and less efficiently. That is of course, if you run the SAME algorithms. By thinking in a different way you can increase the efficiency of calculations.
We're all human though, and don't our brains posses the same faculties, despite being different in structure, to an extent? If you thought the same thoughts Gauds did, thought by thought, wouldn't you make the same discoveries?
What could higher iq bring to the game, that we can't *eventually* figure out, and turn into regular *methodology*?
Great minds seem to agree with this, e.g.
Gauss: "If others would but reflect on mathematical truths as deeply and as continously as I have, they would make my discoveries."
Einstein: "I have no special talents, I am only passionately curious."
Delacroix: "What makes men of genius, or rather, what they make, is not new ideas, it is that idea - possessing them - that what has been said has still not been said enough."
Rimbaud: "Genius is the recovery of childhood at will."
Tesla: "The scientists of today think deeply instead of clearly. One must be sane to think clearly, but one can think deeply and be quite insane."
Also, the structure of your brain does change as you use it(neuroplasticity).
@@niriota173 not little unfortunately, but a lot. An average person would have to probably be solving math problems for hundreds of years to get to the point of this guy in the video
It's the same as chess really. Most of the time, tactics rely on pattern recognition. This means having seen a similar position before and automatically know what best move to use.
Or just "memorization"
Do you have any advice on developing the thinking or how to build mental maps?
I think it’s like a learnable skill
The math Olympiad level is very high but a skill for building mental maps could be beneficial for any learning
If you notice recurring patterns like 2^n, X^2, or pairs of numbers differing by 1, and the solutions rely on similar concepts across different problems-such as induction, modulo 4, or the pigeonhole principle- then that should be part of your mental map: join us on our Discord to discuss further! You’ll find the link in the description.
Thank you for the advice
good insights
this guy downloaded the high iq dlc
I don't know what he's yapping about, but I got a gist of it at least. Good video.
Basically leet code your way through
Wow man I really like him. Is there any chance I could contact him to get some support
you can ask for support in our discord, link in the description ;)
You wanna contact an award winning abstract thinker to help you with algebra homework? 😂
I came here from an ML lecture and it gives me the triggers/cues to think about overfitting and dropout lmao
_If I have no_ _outstanding_ _unanswered_ _questions, then I_ _must know_ _everything!_
[Dunning-Kruger effect]
…BUT…
A genius asks questions that no one else ever thought of, befiore.
You know the guy is telling facts when he is buttoned up to coller
this feels so weird im getting Jer ren in my feed wtf. Malaria IOL 2022 never forget bro
Really great video!
when bro looks like the most massive nerd, you know you can trust him
3:13 Factoring in Z[i] 0%😂😂
A esa edad son tremendos
What do you mean by mod4,8 and 16?
for 4 , it is applying modulo 4 to the equation.
@@MathWisdom42but how is the remainder related to this equation
@@chadmongoose that's a classical technique to show that there are no solution, take for example :
X^2 - 2 = 0, are there any integer solutions? well if you take it mod 4 you get X^2 = 2 mod(4) which is not possible because a square is either 1 or 0 mod 4 ( you can prove it by considering the cases: X odd or X even)
Hence we conclude that there are no integer solutions.
❤
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1:37 Intuitives talking past each other. Extroverted Intuitive on the left, Introverted Intuitive on the right.
Bro is a GPT
54x2+36=144 credits?
😢Yeahhh i dont get whats he saying, really trying to understand how to do math better cause im terribly suffering at math in uni now
I'm sorry to hear you're struggling with university math. Here are some strategies that might help:
- Practice Regularly
- Connect Concepts: Try to link new topics with concepts you've already learned. Understanding how different areas of math are interconnected can make it easier to grasp complex ideas.
- Analyze Past Exams
- Practice Regularly
I am a 10x In my opinion medalist, this is nothing to me
Bro overfitted on problems, needs a bit of dropout
The video is interesting but did you see his hair ? 😂
🤣
you should stop using so much audio processing. it's probably adobe podcast. Stop using it
🤓☝
basic
Noting special here. This guy has just developped an array of solving methods for a bunch a problem after spending hours doing math problems.
No big news.
Dyk any videos like this that are special?
he was just trying to make a video bro leave him alone of course math is learned by problems and not goddamn youtube tips
@@prismatic-bl8qf so real
@@ericzhou8980 prejudices + why do you not let people say obvious things if they want to, moreover when some people (you and me aside) needs to hear/ read this analysis.
( and yes removing this useless comment of yours was a good idea)
@@prismatic-bl8qf It is just facts, as a viewer not telling a lack of interest in a content is more detrimental for the creator that will not be able to improve.
This creator is certainly more open to a constructive criticism than you are.
It is your choice "bro" to let this creator do "goddamn youtube tips" and to "leave him alone" without feedbacks.
Studyceling isn't genius lil bro. And this is coming from a guy who also participated in informatics Olympiad
yh chad does very little and gets the most out of life, your phds dont mean shit to anybody. St hamudi was right.
Felt triggered Mr Z rot? You felt big and strong making that comment didn’t you 😊 stop making comments on mommy’s WiFi
It is lil broml. That's y u participated and he won
womp womp
Someone's hurt😢
1) be born with an extremely high IQ
2)think as it comes natural to you
3) youre thinking like a genius lol
(There is no way otherwise, dont get tricked into thinking you can learn to think like a genius, you cant, its plain scam if they convince you otherwise, genius is about your processing speed and memory, the thinking machinery and algorithms emerge naturally from that, you cant take those from the verbal description of them from a genius and try to emulate them, it wont work, you lack the raw mental power to run them, and it being a verbal description of their mental processes makes it pretty sparse too, so not very generalizable, which is the whole point of fluid intelligence anyways, in short, the mental strategies and algorithms you can reliably implement and internalize are the ones that emerge as you solve problems and are compatible with your intelligence level, geniuses will generalize better from the same problems and will see deeper relations)
nothin but fax
So to say , there's no point in listening or watching videos on HOW TO BE A GENIUS but to just get to work ?
@@Ackerman111_ pretty much, most of the advices can be summarized in "understand the problem and then focus on it", specific strategies they usually talk about like break it domn in pieces etc are already well known and usually come natural as you try to solve the problem and indentify that the thing that makes it complex is having multiple independent parts
@@quantumspark343 yea , like most of the videos I've watched said the same thing ANALYSE and then you'll be able to do it . Nowadays everyone gives the same clichè advice, to the point I can most of the time predict what they r gonna say
You're missing the point I feel, IQ is not static. Pattern recognition is something for which one might have talent but it can be very well learned, like anything. It is literally a skill you can learn anywhere but where it is most rewarding is in the Mathematics degree. When you get the diploma you have already solved +1000 problems on pattern recognition and probably spent +3000 hours doing them. After that point your logical thinking has improved dramatically and can think like a genious (or at least perceived as one by the majority of the population).
IT'S SHIT....DONT DO...
Bro needs to touch some grass
And you need to touch some books
@@adilmohammed6897 I can assure you that I do, and even more than I should, but this shit should be classified as ''socially retarded'' stuff