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1Psi3Colour
Malaysia
Registrace 10. 04. 2022
Looking For Fun Math Problems? This channel is the place! On 1Psi3Colour, we will be doing mathematics rigorously and deeply by mostly solving fun, interesting and hard math problems from math contests, exams, books and many more! The topics covered in math contents ranges from different areas of mathematics as we will explore all sorts of mathematics from different fields. You may also find some exploratory math contents where we will explore a certain interesting theory, theorem or problem in mathematics.
Recent videos on this channel have been made using PowerPoint, while some older videos are created using Manim or just me writing on a screen. If you find these math contents interesting, consider subscribing for more contents!
Subscribe! czcams.com/users/1Psi3Colour?sub_confrimation=1
Recent videos on this channel have been made using PowerPoint, while some older videos are created using Manim or just me writing on a screen. If you find these math contents interesting, consider subscribing for more contents!
Subscribe! czcams.com/users/1Psi3Colour?sub_confrimation=1
An ABSURD Looking Integral With A NICE Result
It's been a while since I have done an integral video, so enjoy :)
Math Stack Exchange Post:
math.stackexchange.com/questions/520657/a-conjectured-closed-form-of-int-limits-0-infty-fracx-1-sqrt2x-1-ln-l
🔥Subscribe to 1Psi3Colour:
czcams.com/users/1Psi3Colour?sub_confrimation=1
👉Check out these playlists:
Math Olympiad Problems from Different Countries:
czcams.com/play/PLfdSlpebuC3Y2w4Pw2ftY1YAB6eYb0HVh.html
Math Shorts: czcams.com/play/PLfdSlpebuC3ZdBZZlnGj1G0yPeY0KSa1h.html
Functional Equations:
czcams.com/play/PLfdSlpebuC3a2WmfoW9J-IgTQry0a4XuE.html
👉Suggest a problem: forms.gle/hTibrUKz7QNyqoC48
Math Stack Exchange Post:
math.stackexchange.com/questions/520657/a-conjectured-closed-form-of-int-limits-0-infty-fracx-1-sqrt2x-1-ln-l
🔥Subscribe to 1Psi3Colour:
czcams.com/users/1Psi3Colour?sub_confrimation=1
👉Check out these playlists:
Math Olympiad Problems from Different Countries:
czcams.com/play/PLfdSlpebuC3Y2w4Pw2ftY1YAB6eYb0HVh.html
Math Shorts: czcams.com/play/PLfdSlpebuC3ZdBZZlnGj1G0yPeY0KSa1h.html
Functional Equations:
czcams.com/play/PLfdSlpebuC3a2WmfoW9J-IgTQry0a4XuE.html
👉Suggest a problem: forms.gle/hTibrUKz7QNyqoC48
zhlédnutí: 481
Video
THIS Indonesian Inequality Is JUST TOO GOOD To Be True!
zhlédnutí 223Před rokem
The Most Crazy-Looking Mathematical Inequality I have proved so far, it's so pleasing and elegant to have it proven. So, I have the whole proof presented to you in this video! It's from the 2011 Indonesia Mathematical Olympiad and it's insane to come up with such inequality! 🔥Subscribe to 1Psi3Colour: czcams.com/users/1Psi3Colour?sub_confrimation=1 💥Check out these videos: Can You Find The TWO ...
A Property Banned By Factorials.
zhlédnutí 782Před rokem
Enter the forbidden city of factorials where there are certain properties banned by factorials. Beware of everything you do, see and think. But to survive in this forbidden city, you must prove that the sum of first n factorials is never a perfect power. Remember! Beware of the proof! Typo at 3:51 and 0:23 : It should be " ... n!". 🔥Subscribe to 1Psi3Colour: czcams.com/users/1Psi3Colour?sub_con...
Solving a HARD Number Theory problem from the USA Math Olympiad Program
zhlédnutí 1,1KPřed rokem
Gear Up! We are going to solve a hard number theory problem from the 2004 USA Math Olympiad Program and... Don't just guess the solutions! Prove it! Let's see if you are capable of making into the math camp! Make sure to watch all of the video or else these triples (x, y, z) will come and find you at night. Typo at 0:23: A " " is missing. 🔥Subscribe to 1Psi3Colour: czcams.com/users/1Psi3Colour?...
This is NOT an ordinary triangle… | 1959 IMO Problem 4
zhlédnutí 376Před rokem
Say Hi to this unordinary triangle from the 1959 IMO! He is a right triangle with its median drawn to the hypotenuse is the geometric mean of his two legs... Well, make sure to watch all of this video to know how to construct him, or else he will be sad that you don't care about him... 🔥Subscribe to 1Psi3Colour: czcams.com/users/1Psi3Colour?sub_confrimation=1 💥Check out these videos: Can you so...
Can you solve this integral WITHOUT Feynman’s Method?
zhlédnutí 314Před rokem
Hey, I know you! You're the easiest integral I have ever done using Feynman's Method of Integration! Hmmm, yeah but we'll do it with double integrals this time! You better watch all of this video or else, you'll be dead if Feynman isn't available. 🔥Subscribe to 1Psi3Colour: czcams.com/users/1Psi3Colour?sub_confrimation=1 💥Check out these videos: 2010 IMO Shortlist Geometry: Let's Kill This!: cz...
How To Solve 2010 IMO Shortlist G1
zhlédnutí 244Před rokem
Wanna solve an IMO Shortlist Geometry Problem? Here's a cool one for you to solve! It's from 2010 IMO Shortlist Geometry, in order to kill this problem real quick, make sure to watch all of the video or else you will be killed by the problem.. But what is a Directed Angle? czcams.com/video/c4fdjmjRJ-c/video.html 🔥Subscribe to 1Psi3Colour: czcams.com/users/1Psi3Colour?sub_confrimation=1 💥Check o...
This Mysterious Sum CAN NEVER GO BEYOND 1
zhlédnutí 291Před rokem
What if I tell you that you have a chance at solving an inequality problem from the 2022 Malaysian IMO Training Camp? Well, here's a mathematical inequality for you to prove. Watch until the end of the video for a detailed explanation of the proof. Corrections (Typo): 1:09 The correct expression in the numerator of the summand should be x(√((x y)(x z))-x) instead of having all terms under the s...
Feynman’s Technique Is The MOST Overpowered Integration Technique EVER Existed!
zhlédnutí 981Před rokem
Do you know what is the MOST Overpowered Integration Technique? Of course, it is the Feynman's Technique Of Integration! And we are going to slay an integral which is hard to evaluate using standard techniques of integration using this trick! Watch until the end of the video and Feynman would be proud of you. 🔥Subscribe to 1Psi3Colour: czcams.com/users/1Psi3Colour?sub_confrimation=1 💥Check out ...
You Won't Believe The Answer To This Limit
zhlédnutí 278Před rokem
You Won't Believe The Answer To This Limit
What Is the Proizvolov's Identity and How You Can Prove It!
zhlédnutí 600Před rokem
What Is the Proizvolov's Identity and How You Can Prove It!
How Oxford University Tests Math Applicants And How You Can Get In!
zhlédnutí 276Před rokem
How Oxford University Tests Math Applicants And How You Can Get In!
These Two (Directed) Angles Are The Same!
zhlédnutí 323Před rokem
These Two (Directed) Angles Are The Same!
15 Minutes to Solve the First IMO 1959 Day 1 -- Can YOU?
zhlédnutí 171Před rokem
15 Minutes to Solve the First IMO 1959 Day 1 Can YOU?
Coffin Problems: Primes vs Functions, Who Would Win?
zhlédnutí 687Před rokem
Coffin Problems: Primes vs Functions, Who Would Win?
Unlock the Secrets of Incenter and Excenter with this Geometry Lemma
zhlédnutí 241Před rokem
Unlock the Secrets of Incenter and Excenter with this Geometry Lemma
One of The "Easiest" IIT Math Problem I Have Ever Solved!
zhlédnutí 307Před rokem
One of The "Easiest" IIT Math Problem I Have Ever Solved!
Kyrgyzstan Mathematical Olympiad 2012 | Two Ways to Solve This Functional Equation!
zhlédnutí 522Před rokem
Kyrgyzstan Mathematical Olympiad 2012 | Two Ways to Solve This Functional Equation!
How Goldbach and Euclid Proved There Are Infinitely Many Primes?
zhlédnutí 1,4KPřed rokem
How Goldbach and Euclid Proved There Are Infinitely Many Primes?
British Maths Olympiad 2015: Can You Find The 2015th Term?
zhlédnutí 289Před rokem
British Maths Olympiad 2015: Can You Find The 2015th Term?
What is the Jensen's Functional Equation?
zhlédnutí 917Před rokem
What is the Jensen's Functional Equation?
Coffin Problem: A Killer Sum from Soviet Union
zhlédnutí 468Před rokem
Coffin Problem: A Killer Sum from Soviet Union
Can you prove this CRAZY easy inequality?!
zhlédnutí 198Před rokem
Can you prove this CRAZY easy inequality?!
Can you find all "Norwegian" functions?
zhlédnutí 334Před rokem
Can you find all "Norwegian" functions?
The easiest problem on IMO training camp
zhlédnutí 848Před rokem
The easiest problem on IMO training camp
This Equation Changed Functional Equations Forever
zhlédnutí 2,5KPřed rokem
This Equation Changed Functional Equations Forever
In 7:20 why DAC=-CBD how you determine the - minus how to determine the clock or anticlockwise
As someone in the American education system, I can confirm this was not part of our 12th grade math textbooks.
Answer is -69
You still have to show that there are a,b,c‘s to attain the 81. You can use that equality in the Cauchy Schwarz inequality holds if the vectors are linear depending and for example a=1, b=3, c=5 should work.
Can you please make a video on power of point?
Thanks a lot!! Your video made me understand my first IMO problem’s solution.
My ass did u= e^x+1, partial Fractions, and then evaluated ln(infinity) to get the same answer 💀💀
Erm what the Sigma
Can also multiply by e^x both numerator and denominator and then take e^x = t
12 class chindi questions
Easiest question fr
Easy 😂
i don’t get it
ok but how do you make sure that this is the only solution and there are no other?
Elegant solution 🎉
Ahh yes our textbook question for 12th grade.
as a 4th grader, this is very easy
It's the qualifiers, this is made to boost your self confidence. Try some semi/finals questions
@@therealtdp ohhhhhh ohkayyyyy
The fact that you did the integration of lnx wrong
Shouldn't it be 1/12 instead of 1/6 🧐 ?
no
Nice
Cant we solve it using XBCY trapeze ?
How is xdx=ydy
by cross product
@@andunyaa how => y^2/2 + C1 = x^2/2 + C2 ✅ => y^2 + 2C1 = x^2 + 2C2 ✅ => y^2 = x^2 + C ???? ⁉
We did it in 12th ! One of the easiest questions 😂😂
I guess I just found the most underrated math channel ever.
I think it’s 1/12 not 1/6 square root 2
no
LoL, the title😂
✅个哦哦的个✅
I just added e^x - e^x in the numerator and split it up
But it got lengthy! When solving integration one should be caring about time optimisation
@@dipankarbanerjee1130you prob did it wrong, I did it in a very optimized manner and took me basically 2 lines to solve it
@@lonekoq4646 no.. I was actually telling him.. I too did the problem in a short way
How tf does that prove anything
😂😂😂😂😂
(f as the original expression and g as the formula you’re trying to prove) If we can show that f of any n of the natural numbers is equal to g of that same number then we can start our proof (im going to assume that this value is 0 to explain how the proof works later). We can now assume that f(n_0)=g(n_0). If we can show that f(n_0+1) = g(n_0 + 1) using the fact that f(n_0)=g(n_0), then it must be true for all n_0 greater or equal to n from the start. This is because we just showed the formula also works with 1 (because we know that f(0)=g(0) and that the same applies for that value (in this case 0) plus 1). We can repeat this same process using 1 instead of 0 to show that it works for 2 and so on to infinity.
@@imagod4796..in English.. please? 🙏
I went from x ➡ -x world Same tho
This is 12th board level question.
We literally have it in our book
Nice problem
Solved it a bit different by use of sine and cosine. Got the same thing tho. Nice problem 😊
We can also prove this by the formula of sum of 'n' numbers given by Carl Friedrich Gauss when he was just 10 years old. Let the Arithmetic progression be 1, 2, 3, 4, 5, 6, 7 ,8,...n Here, the first term=1=a Common difference=1=d Number of terms= n =n Using Gauss's formula for calculating sum of terms in an arithmetic progression, Sum of n terms= n/2[2a+(n-1)d] Substituting values we get, Sum of n terms=n/2[2(1)+(n-1)(1)] Sum of n terms=n/2(2+n-1) Sum of n terms =n/2(n+1) Sum of n terms =[n(n+1)]/2
I just stumbled upon this video again
@@user-qc9cd5iz3lI just stumbled upon you stumbling on this video again
this is literally just the dirichlet eta function evaluated at one
We do this in 12th grade.
That’s why it’s a qualifying question dude
Is it bigger than 10 {100} 10?
Cauchy schwarz inequality : (Ai^2)(Bi^2)>= (AiBi)^2
I thought of the second way but for some reason I thought u to negative u doesn't cancel out...
ye to hamare yaha boards mein aata hai😂
Sahi kaha aapne 😅😅😂😂
Aapne khudke jan ko jokhim pe dalte hue bhi inti badi sach ko sabke samne lane ke liye naman hai aapko sir ..😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂😂
Ya Indian student solve ultra difficult questions just to get into a college and then majority ends up being an IT slave. US students on the other hand solve a way easier test, gets into colleges way better than any indian college and goes on to become scientists, engineers working on the forefront of technology..
@@subhradeepghosh8263its just a qualifier question . if you think MIT asks easy questions then solve the questions came in integration bee final 2024 .
How do we know left side is even?
whatttt this is a qualifier question ? Bro it is just Basic question for IIT JEE student
indians trying not to mention india in a comment section (impossible) did anybody ask?
@@HELLOHELLOISANYBODYTHEREpain bruh
Try to do the mit integration bee finals question also this is only a qualifier question (and btw I am an Indian too)
yeah clearly you aren't too bright.
Glad to see you back 😊
Outcome: xe^(x^3) + C
i want more question videos
Thanks for video. For MIT integration bee recently it was published a book with solutions to problems of Qualifying Tests from 2010 to 2023
Can i get it on internet.?
Bro where is Minus sign
Ln 1 is 0
he flipped the order from 2,0 to 0,2 which swallowed the minus sign
Bro it's too easy I guess 👍
wow
ln(2) ( i think 😅)
The answer is ln2