he's so enthusiastic about math, its so wholesome :) i didnt really enjoy math before, but his ted talk inspired me, and now math is my favorite subject :) Thank you, Mr. Woo.
19:00 it’s because of the nature of ordering the numbers from left to right: there are 5 low cards and so if there are x low cards in one pile there will be 5 - x low cards in the other pile. Since the cards are ordered from left to right a low card can never be opposite a low card and in turn a high card can never be opposite another high card.
Another way to think about it: Assume you had 10-6 as one of your pairs. 10 is the highest card; there can be no card higher. It's in player A's hand. in order for it to line up with the 6, the 6 must be the lowest card in player B's hand. (because the highest card in player A's hand matches with the lowest card in player B's hand) What 4 cards can be higher than the 6? 7,8,9,10. But we already used 10; so this is an impossibility. There are not 4 cards higher than the 6 left to fill out the other player's hand.
@@EtoileLionYour explanation is correct of course. It’s an important point that is missed in the video. However it doesn’t strictly prove that if it’s true for 10, it’s also true for 9 then 8 etc. Perhaps a form of inductive reasoning is necessary. That aside, without affecting the result, the two players could vertically swap their highs for lows so one has all highs and the other all lows. Then the H-L formulation is obvious. BTW I’m not sure it’s possible to prove it’s true by strictly algebraic means. I suspect not.
I did this with my class, then I had them take away the 9 and 10 and try it again with 8 cards, then again with 6 cards to see if they understood that they got square root answers...25, 16, 9!
This can be generalized as well. If you have a set of the first 2n numbers broken into two random groups of n numbers and paired off in this way then the differences sum to n^2
Thank you so much for this demonstration Eddie. I am a computer science lecturer and I used this 'trick' to highlight the importance of pattern recognition; one of the four key characteristics of computational thinking. My students were laser focused and engaged and loved it!
The world really needs more teachers like you sir. Being a math enthusiast, I love watching everything you teach and explain. Its about the cheerfulness and passion for the subject and the way you teach. Math is really beautiful. We just need someone like you to show us that beauty. Hats off!!!!
More interestingly, playing cards represent the Cosmos. 4 suits = 4 seasons 13 cards per suit = 13 lunar months in year 52 cards in total = 52 weeks in year 364 total all spots = 364 days in year Plus the Joker representing the odd 1 or 1.25 …thus equalling 365.25 days in a year This is the reason cards were esoteric and mystical. Ralph.
Great fun ! An other way will be to look at the 5 vertical columns. Where we have 10 the addition of the 3 cards will give 20 where is 9 will give 18 , 8-16, 7-14, 6-12
I really want this kind of teaching in my country, although I am a commerce student, but still our education needs to be interesting like sir showed today.... Literally Sir, Instead of choosing celebrities, I would choose you as my role model Regards A Proud Indian & Your Subscriber.
Cards 1-8 would always come to 16, 1-6 would be 9, 1-4 would be 4 and 1-12 would be 36. You can quickly find the outcome with o=(h/2)² where o is the outcome and h is the highest number in the range. This does require that the range is consecutive, starts with 1 and ends with an even number.
I hope and wish my comments are not offensive to anyone, but I hope God continues to illuminate Eddie woo's beautiful mathematical brain to help him find the answers to the many issues affecting our world. You are very inspirational and an example for others to follow.
Really admire your knowledge in Mathematics, and the way you teach, thank you for informative video you just made Mathematics fun to learn. You are like my favorite Prof Roger Antonsen. May God bless you Prof Eddie Woo☺️
Taking the low from the high must be physiological because there is no rule that you should do that. But anyway, love your enthusiasm explaining things to me. Thank you Eddie.
my favorite math card trick involves 21 cards where I can guess anyone cards no matter if it is the first, last or a middle anywhere card. by the third move, I already know their card before finishing the trick. i can then just move cards around into multiple piles and by the end, I have their card left that they had chosen. it's called either 21 Cards or Magical 13
The rearranging of the cards to ascending order from low to highest is the key on this one, or else this thing ain't gonna work. Still a great vid Eddie 🍻
The reason for always (H-L) and no (H-H) or (L-L) is that the cards are in ascending order from left to right in your side and ascending from right to left in your partner''s side. If you try to make lower card in your right side you will have 1,2,3,4,5 and your partner will have 10,9,8,7,6. Again, you will have (H-L) in all case. Please reply to correct me.
For we the Mathematicians, we know it's possible. But you could have tell other people that you have a paper hidden which you will reveal in the end. Great one mentor. 💪
hi can i interpret as this too ? taking any number range (1-10) that split equally random to two group, where each group hold 5 cards, then the possible 'red' value will be 5^2=25 another example , a pool of number range ( 1-18) that split equally random to two group, where each group hold 9 cards, then the possible 'red' value will be 9^2=81 this x^y where x is number of card that hold by a group after equally divided from the pool, and y = number of group divide. this will hold true for 'red' value if and only if number of group divide is always 2.
18:47 I think the explanation is the following: the cards are arranged in ascending order, and there are always 5 lower and 5 higher cards in total (so we are distributing these 10 cards among each other). So if I have 5 H cards, then all of yours are 5 L, but if we swap 1 card, then your 1 H card will be in front of my 1 L card (since it's in ascending order), and so on until we swap all remaining cards. Is this the explanation? Thanks.
It will always work and will be the square of the number of cards each one has and it works only in the reverse order ,if we put them on same order there will be different values all over with the lowest being 5 and the highest 25 when all cards would be high up and low down.Math will always work when there are preset conditions but if we would just shuffle a deck and try to grab anything by chance it will never work cuz there is no algorithm like in the rubix cube even if we know the whole deck the number of cards from the shuffle will change cuz the switching doesnt work on order it always can go back or forth.
A great presentation. I’m sure students would enjoy learning maths with Eddie - he’s really enthusiastic and explains things so clearly. I’m a scientist, so need to know some maths (especially statistics), but I feel it would be good for me to brush up my maths knowledge by attending his classes!
he's so enthusiastic about math, its so wholesome :)
i didnt really enjoy math before, but his ted talk inspired me, and now math is my favorite subject :)
Thank you, Mr. Woo.
His Ted talk was average... 🤣🙏 But he is a good teacher👌
I did not like math
Enthusiasm changed me
Thank you Mr. woo
I turned your comment into a haiku.
He is about math just like girls about scrotal sack
@@reststop3632 haha that was clever and creative at the same time, loved it 😁 nice inspiration you got there
@@christianpaul3651 🤣🤣🤣
Eddie makes maths worth it
thanks really appreciate it
Yeah
Switched red marker and blue marker 10 time and put cap on everytime, only a true mathematician would do it.
You can do better :) ua-cam.com/video/-HQrpaveZJo/v-deo.html
I remember our VG sir 😀
@@raynalguillaume Of _bloody_ course someone would ping BPRP XD
And then there is BPRP
19:00 it’s because of the nature of ordering the numbers from left to right: there are 5 low cards and so if there are x low cards in one pile there will be 5 - x low cards in the other pile. Since the cards are ordered from left to right a low card can never be opposite a low card and in turn a high card can never be opposite another high card.
Another way to think about it:
Assume you had 10-6 as one of your pairs.
10 is the highest card; there can be no card higher. It's in player A's hand.
in order for it to line up with the 6, the 6 must be the lowest card in player B's hand. (because the highest card in player A's hand matches with the lowest card in player B's hand)
What 4 cards can be higher than the 6? 7,8,9,10.
But we already used 10; so this is an impossibility. There are not 4 cards higher than the 6 left to fill out the other player's hand.
@@EtoileLionYour explanation is correct of course. It’s an important point that is missed in the video. However it doesn’t strictly prove that if it’s true for 10, it’s also true for 9 then 8 etc. Perhaps a form of inductive reasoning is necessary.
That aside, without affecting the result, the two players could vertically swap their highs for lows so one has all highs and the other all lows. Then the H-L formulation is obvious.
BTW I’m not sure it’s possible to prove it’s true by strictly algebraic means. I suspect not.
Eddie woo is good at everything
I did this with my class, then I had them take away the 9 and 10 and try it again with 8 cards, then again with 6 cards to see if they understood that they got square root answers...25, 16, 9!
Square not square roots
@@arghyadeeppal9638 perfect squares bruh
New favorite channel. 43 yr old engineer business owner. Can't wait to introduce my kids to this content. Bravo
I've never seen anyone so happy about math and about calculations making sense. Great job!!
To me it feels like he's competing with Matt Parker from Stand-up Maths on that matter. :D
I can only agree though, it's done really well.
I found your channel recently and I've never been taught math this way. You are beyond amazing and your enthusiasm makes it worth it.
This can be generalized as well. If you have a set of the first 2n numbers broken into two random groups of n numbers and paired off in this way then the differences sum to n^2
Yeah, true
Thank you so much for this demonstration Eddie. I am a computer science lecturer and I used this 'trick' to highlight the importance of pattern recognition; one of the four key characteristics of computational thinking. My students were laser focused and engaged and loved it!
I love math, i love that Eddie loves math, i love Eddie for making math fun. Thanks Eddie.
The world really needs more teachers like you sir. Being a math enthusiast, I love watching everything you teach and explain. Its about the cheerfulness and passion for the subject and the way you teach. Math is really beautiful. We just need someone like you to show us that beauty. Hats off!!!!
Like you Eddie, always smile and relaxing. Good personality.
Please keep doing the excellent work you always do Eddie. Keep encouraging kids to Math. Thank you
More interestingly, playing cards represent the Cosmos.
4 suits = 4 seasons
13 cards per suit = 13 lunar months in year
52 cards in total = 52 weeks in year
364 total all spots = 364 days in year
Plus the Joker representing the odd 1 or 1.25
…thus equalling 365.25 days in a year
This is the reason cards were esoteric and mystical.
Ralph.
Wow
Great fun !
An other way will be to look at the 5 vertical columns. Where we have 10 the addition of the 3 cards will give 20 where is 9 will give 18 , 8-16, 7-14, 6-12
I really want this kind of teaching in my country, although I am a commerce student, but still our education needs to be interesting like sir showed today....
Literally Sir, Instead of choosing celebrities, I would choose you as my role model
Regards
A Proud Indian & Your Subscriber.
Yes, beautiful patterns. Very beautiful. Thank you Mr. Woo
3:48 Loneliness just hits different 🥲
This improved my mood a lot. Thanks for sharing this video.
Well I knew he was a magician in the classroom, I never expected him to start doing card tricks!
Cards 1-8 would always come to 16, 1-6 would be 9, 1-4 would be 4 and 1-12 would be 36. You can quickly find the outcome with o=(h/2)² where o is the outcome and h is the highest number in the range. This does require that the range is consecutive, starts with 1 and ends with an even number.
he is very smart
Eddie is a mathemagician!
Sir you are one of the greatest teacher I have ever seen
Thanks mr.woo you're m'y light in math
I love you sir. You are my most favourite mathematics teacher.
He knows that that shuffle is a wash.
This guy has wrecked home games.
I wish that i have Eddie as a teacher when i was younger bro💕💕
Before I’m a magician, now Im a mathematician. Thanks to you!
So true, same here. Now I can have them count down to 25 in the 3 deck and have that number in the envelope.
The way you explain is superb... ❤️❤️❤️❤️❤️ I just loved it ❤️
OMG!!! I NEED THIS TEACHER!! he is absolutely the BEST! :3
Eddie, you are living legend!
I hope and wish my comments are not offensive to anyone, but I hope God continues to illuminate Eddie woo's beautiful mathematical brain to help him find the answers to the many issues affecting our world. You are very inspirational and an example for others to follow.
I love math ever since I've discovered your love, excitement to math
Man I wish I discovered you much much earlier, still is better late than never
It’s always nice to see self working tricks in action since most of them are based on math
I love this guy!
in india many tutorial like bakliwal use this for entrace exam luckily i found good video and did well in exam
Really admire your knowledge in Mathematics, and the way you teach, thank you for informative video you just made Mathematics fun to learn. You are like my favorite Prof Roger Antonsen. May God bless you Prof Eddie Woo☺️
19:00 that is because he said in the beginning to arrange the cards in ascending order left to right and same for opposite in perspective.
It will be so great and meaningful to be Eddie’s student😍🔥
Assalam O Alaikum! Sir that was amazing, that was great. I didn't expect that the mathematics could be used in cards. Thankyou.
Taking the low from the high must be physiological because there is no rule that you should do that. But anyway, love your enthusiasm explaining things to me. Thank you Eddie.
I wish he would do videos on the concepts behind Fourier and Laplace transforms!
Beautiful and fun yet so simple thank you for this video :)
Numberphile did the same trick. Still fun to watch
Eddie, Great presentation! I am a magician who loves mathemagic but who struggles trying to make it fun for audiences. Your style is great!
You are a very good teacher
my favorite math card trick involves 21 cards where I can guess anyone cards no matter if it is the first, last or a middle anywhere card. by the third move, I already know their card before finishing the trick. i can then just move cards around into multiple piles and by the end, I have their card left that they had chosen. it's called either 21 Cards or Magical 13
Just by hearing him explaining this you know he's a teacher. Methodical.
Hey! We need some brown paper! In the spirit of Numberphile, of course.
Excited to watch this video!
Hi Eddie, a humble idea: try to lower the Gain on your mic channel to get rid of the overdrive on it.
This was a very awesome video, he explained the logic behind this trick so well :D
I love your videos. THANK YOU for making maths so fun for me.
Math & magic 2 things I love ❤️
Mind blowing!
Wow, it's so amazing.
The rearranging of the cards to ascending order from low to highest is the key on this one, or else this thing ain't gonna work. Still a great vid Eddie 🍻
New to the channel mad respect for the work you are doing here.!
The reason for always (H-L) and no (H-H) or (L-L) is that the cards are in ascending order from left to right in your side and ascending from right to left in your partner''s side. If you try to make lower card in your right side you will have 1,2,3,4,5 and your partner will have 10,9,8,7,6. Again, you will have (H-L) in all case. Please reply to correct me.
Big fan...
you are math crazy! I love it.
High - low because we are arranging in ascending order on each side
For we the Mathematicians, we know it's possible. But you could have tell other people that you have a paper hidden which you will reveal in the end.
Great one mentor. 💪
hi can i interpret as this too ?
taking any number range (1-10) that split equally random to two group, where each group hold 5 cards, then the possible 'red' value will be 5^2=25
another example , a pool of number range ( 1-18) that split equally random to two group, where each group hold 9 cards, then the possible 'red' value will be 9^2=81
this x^y where x is number of card that hold by a group after equally divided from the pool, and y = number of group divide. this will hold true for 'red' value if and only if number of group divide is always 2.
BEATIFUL CHANNEL UA-cam MATHEMATICS... BEATIFUL..
18:47 I think the explanation is the following: the cards are arranged in ascending order, and there are always 5 lower and 5 higher cards in total (so we are distributing these 10 cards among each other). So if I have 5 H cards, then all of yours are 5 L, but if we swap 1 card, then your 1 H card will be in front of my 1 L card (since it's in ascending order), and so on until we swap all remaining cards. Is this the explanation? Thanks.
He looks like he uses 5 chopsticks to eat instead of a pair.
WOW! Incredible hidden patterns
OMG!!!!! I love this. Thank you ❤❤❤❤❤
We need more videos like this.😘
So the fact that your first attempt gave palindromic red in the middle was just a coincidence?
It will always work and will be the square of the number of cards each one has and it works only in the reverse order ,if we put them on same order there will be different values all over with the lowest being 5 and the highest 25 when all cards would be high up and low down.Math will always work when there are preset conditions but if we would just shuffle a deck and try to grab anything by chance it will never work cuz there is no algorithm like in the rubix cube even if we know the whole deck the number of cards from the shuffle will change cuz the switching doesnt work on order it always can go back or forth.
Here before this blows up!
14:14 are we doing black jack card values?
I love this kind of videos !
More please 🤯🤓 looks like the building blocks to those bigger prediction tricks that are all too common now
i wished you have been my math teacher. Thank you
I figured it out before your explanation...
We were at Chatham High and I was from Cundletown Public
You should explain some magic card tricks (David Copperfield). He has some cool tricks easy to explain with mathematics
If we go right to left then diffrence will be always in even number and equal. It can be wrong
you make it looks so easy !
A great presentation. I’m sure students would enjoy learning maths with Eddie - he’s really enthusiastic and explains things so clearly. I’m a scientist, so need to know some maths (especially statistics), but I feel it would be good for me to brush up my maths knowledge by attending his classes!
And thank you so much for this video.
Just wow!!!
the second time you layed out the cards you put down the exact same thing i had
The step where you arrange the cards from low to high (L-R) doesn't seem necessary.
I'd like to see an episode about applied math on physical training sometime :D
So good!! Definitely will try this with my class. Thanks a lot, stay safe
Amazing
ohnestly you're just the best
I wish I was half as good at maths as him
19:8 because of the ascending descending order
Beginnings of algebra. You could do this with infants.
Omg I like maths now
Amazing!