I just realized that, in theory, if we take the limit as x -> infinity, and as y-> infinity, then x^y = y^x as well, but since infinity is only a concept and isn't recognized as a number, i'm sure that's why they didn't consider this in the video.16 reigns supreme!
lol 1 will almost work for this, but x and y will already equal themselves. also im pretty sure that the reason 16 works for this is because 4 is the only number that's square can also be added to itself to equal 4. 2 x 2 = 4, and 2 + 2 = 4
Well.... Shorthand version: nothing else can be x^y=y^x when x =/= y because the equation will only work if y is a power of x or vice versa, due to the fact that if the numbers are not powers of each other they will have different prime factorizations, and thus be different numbers. If you go even one number higher like 3^9 vs. 9^3, it becomes clear that the high value of the exponent of x overrides the high value of y.
16 is my favourite number- born on 16th of march and sometimes (not as much now) it just pops out at me... like often if Im walking down a road, the first and only house number I glance at is 16 haha
Maths Jams sound awesome. I occasionally meet up & play maths with some of my friends, it's good. But where is the proof that this relation work for any other intergers?
Taking x or y=1 is trivial, and won't work. For x=2, we have y=4 gives us 16, 3 doesn't work and anything larger will give 2^y=/=y^2, because the LHS will be bigger.
In general, for x bigger than 2 (x<y), it's going to be the case that x^y is much larger than y^x (this is quite obvious, taking larger powers has a larger effect than taking smaller powers of larger numbers, but not enough room here to show this rigorously, but it's easy).
Has anyone found the proof for x^y=y^x? I tried looking or it and the only thing I found was on some sight called Ask Doctor Math but the explanation was only partial and confusing.
If anyone is still looking for a simple proof for this x^y = x^y -> x^y = 16 "problem" given in the video and can't find something on the internet just like I couldn't (mainly because you don't really know what to search for), I came up with one and wrote it down:
@superfunny1972 I think they're only doing integer numbers for now but I don't know for sure. Besides there already is a video on the golden ratio by sixtysymbols which is another channel by Brady so I wouldn't expect that too soon. :P
2 and 4 are not the only numbers that the X and Y can represent to get 16. You ever think of 16 to the 1st? I swear, I'm sick of these people who flunked out of Math and Physics 101 trying to do YouTube videos.
Brady, I am sorry to say that so far, this is the least interesting channel. It seems rather arbitrary in the way videos are done so far. I think more complicated mathematics would be more interesting: Fermat's Last Theorem, or perhaps some complicated mathematical problems; issues in the field.
Check out claymath (dot) org and look at the Millennium problems. They are supposedly the most difficult unsolved math problems. I don't even understand the explanations given, so perhaps some videos on those?
I'm an Engineering student a Nottingham and love your videos especially the one with the Tetris champion
However 32 I think is interesting. Apparently is you ask someone to pick a number between 50 and 1, them not being allowed to pick 50, or 1, 32 is the most picked number.
It was only when I heard this and thought about it that I realised how often when posed with picking a random number that I picked 32. Since hearing this I've now seen how often it occurs
@Dribblehand no number can be divided by 0 (even 0 cant be devided by itself), they could make a video about why you cant do that, but its kind of simple: divide 12 apples on 2 piles -> you 6 on each pile. divde 12 apples on 0 piles -> there are no piles, but where are the apples then? they have to be somewhere but the expression 12/0 gives them no space to be in. therefore x/0 is not defined (which is means the same as "you cant do that")
@Creepyseven You can define (and it makes sense in many cases) x/0 where x > 0 to be lim y->0 x/y in which case 12/0 would be infinity. 0/0 is a bit more interesting - it turns out that it often ends up being a hole in a function at a non-infinite point. For example the function (x-1)/(x^2-1) returns 0/0 at x=1 yet the graph would show that it should be 0.5 (and L'Hopitals Rule for that matter).
@GSA14101996 Yeah that was a brain malfunction :-) If the base had to be the same as the exponent then 2 ^ 2 would be the only perfect square. Perfect squares have integer / whole number roots, so 9 is a perfect square because the root is a round 3. Square any of the integers 1,2,3,4,5,6,... and you will arrive at a perfect square. All numbers greater than zero have a real square root, but only the perfect squares have integer roots.
@darkdudironaji If I understood the video right the first number in the binary sequence was 0 and the last was 255. If that is true then the 8-bit processor holds 256 numbers - 1 thru 255 plus the additional digit 0. One of the few circumstances when a number plus 0 equals another number!
Squares are orderly, rational, and mostly a man-made geometrical idea - they're extremely rare in nature aren't they? Why then are they so useful to mankind? It would be interesting to talk about others: triangles, circles, hexagons, pentagons, etc. and the individual properties associated with each.
It is like asking for another number that when multiplied by itself or raised to the power of itself is equal to the same number, just 2 and 1 can do that. Because for these two numbers it is the same operation. Needless to say, 2^2=2*2=4 so 2^4=4^2.
@singlespies agreed, because 255 is the 256th positive integer d^_^b
I'm also disappointed that they did a video on 16 and did not mention the hexadecimal number system.
And speaking of roots, powers and squares of the 16 and 255/256 videos: In adition to 16^2 = 256, the root of 16 (4) by the power of itself (x^x) is 256, which makes 256 the perfect square of a perfect square :D
All of these numbers are fun, since they are all in the line 2 in powers of 2 in powers of 2...
@singlespies No, they're correct. An 8 bit processor can only go up to 255. The easiest way to tell is the windows calculator. Make the view "programmer" and put in 255. Then click the bubble next to "bin" it will give you the binary, which is 11111111. If you do the same thing for 256 you would get 100000000. 256 in binary is 9 numbers long, so it wont fit in an 8 bit processor.
@Geeoorrgeee You must of missed the part where they were talking about other things. If someone wanted to only find out why 16 is so great, they could of googled it. These videos offer interaction, their stories -and- the subject matter.
@QwoPhasaArius thank you for kind of getting the other dimension of these videos... though perhaps your average numberphile is less interested in such things! ;)
((-2)^(-4)) Equals ((-4)^(-2)); y equals-2; x equals-4. this satisfies x^y equals y^x because its 0.0625 so its not the only number that is a square of a perfect square.
Dear algebra; Please stop asking me to find your x. She's gone. She's moved on.
TheCraich 10 hours ago
496 likes, perfect number
Minjask6572 2 days ago in playlist Uploaded videos
Funny, I paused this video to go do something, and I ended up pausing it at 0:16 without trying.
SapphireSiren 2 days ago
"Lets get rid of the kids and replace them with tasty drinks" XD
DaffyDaffyDaffy33322 4 days ago
Do they have a video for every number?
EpicHobos 4 days ago
I don't think she knows what a perfect square is...
blazikin89 6 days ago
I just realized that, in theory, if we take the limit as x -> infinity, and as y-> infinity, then x^y = y^x as well, but since infinity is only a concept and isn't recognized as a number, i'm sure that's why they didn't consider this in the video.16 reigns supreme!
ImaFirinMaiLayz0r 6 days ago
@ImaFirinMaiLayz0r x!=y
DragonslayerProd 4 days ago
THAT is NOT an X
Diosukekun 1 week ago 4
roblokzd 1 week ago
Triangle numbers please :D
Gytax0 1 week ago
"Why don't we get rid of the schoolkids and just replace them with tasty beverages?"
chunkyq 2 weeks ago 17
damn these mathematicians ,im barely passing geometry
Adr1anFoo21 2 weeks ago
lol 1 will almost work for this, but x and y will already equal themselves. also im pretty sure that the reason 16 works for this is because 4 is the only number that's square can also be added to itself to equal 4. 2 x 2 = 4, and 2 + 2 = 4
youfulloftube 2 weeks ago
It's maths
harryh111111 2 weeks ago
Well.... Shorthand version: nothing else can be x^y=y^x when x =/= y because the equation will only work if y is a power of x or vice versa, due to the fact that if the numbers are not powers of each other they will have different prime factorizations, and thus be different numbers. If you go even one number higher like 3^9 vs. 9^3, it becomes clear that the high value of the exponent of x overrides the high value of y.
TheMuffinChef 3 weeks ago in playlist More videos from numberphile
Ah man, smart and beautiful.
Osirus1156 3 weeks ago
4 and 2... 42. The answer to everything... XD
maxwellpassion 4 weeks ago 3
02:46
No you don't put it into a calculator, you do it in your head since the numbers are so low.
And you should look into complex x and y, that would be way more fascinating.
MrIStillDontCare 1 month ago 2
It's not really a property of 16, it's a property of 4 and 2 being so low. That's also what allows the small numbers to be prime (2,3,5,7).
TheLonelyImmortal 1 month ago
16 is my favourite number- born on 16th of march and sometimes (not as much now) it just pops out at me... like often if Im walking down a road, the first and only house number I glance at is 16 haha
MPOTW 1 month ago
I was born on 16 December too ;D
arkhitekht 1 month ago
IT"S MATH, DAMMIT! SINGULAR!
Oblic008 1 month ago
I found a function that is very close to the graph visualised by x^y=y^x
It is (y-(e-sqrt(e))(x-(e-sqrt(e))=e
Don't ask me why it is :p
klaasvdb 1 month ago
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sn3s420 1 month ago
Dr Ria Symonds looks like she gives an enthusiastic blowjob
fume0ne 1 month ago
"can I order to the table 4 squared?", lol what a jackass..:D
artloevik 1 month ago
I hate the way she draw the x !
ParanoidAndroid86 1 month ago 4
a^b = b^a where a≠b
the only solutions are 2 & 4, 4 & -0.766665696, 2 & -0.766665696.
GingerGames 1 month ago
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LilMisTaken 1 month ago
I find very things in this universe so supremely beautiful as a pretty girl with a thing for mathematics. Hot like lava.
mokopa 1 month ago 2
Maths Jams sound awesome. I occasionally meet up & play maths with some of my friends, it's good. But where is the proof that this relation work for any other intergers?
Tinteskou 1 month ago
why is it on the seecond last tuesday??
AHUGEMUSHROOM 2 months ago
I was born on 16 December too!!!! :P
Doctorwhorage 2 months ago
I'm born on August 16th =D
windowsforvista 2 months ago in playlist More videos from numberphile
Porn for us (nerds)
rohamisamazing 2 months ago
Are there any complex numbers satisfying x^y = y^x?
FHomeBrew 2 months ago
"We accidentially did maths". Somehow, that's just an awesome quote.
TheTrueRandomness 2 months ago 2
Taking x or y=1 is trivial, and won't work. For x=2, we have y=4 gives us 16, 3 doesn't work and anything larger will give 2^y=/=y^2, because the LHS will be bigger.
In general, for x bigger than 2 (x<y), it's going to be the case that x^y is much larger than y^x (this is quite obvious, taking larger powers has a larger effect than taking smaller powers of larger numbers, but not enough room here to show this rigorously, but it's easy).
jamma246 2 months ago
she draws her x's like a buttcrack lol I'd learn math from her <3
imhellag 2 months ago
She makes gross 6's
WildZangoose 2 months ago
hat about "1" and "0"!!?!?!?!
MrNoookie 2 months ago
@MrNoookie It may seem illogical, but for every x, x^0=1.
miniemor 2 months ago
Comment removed
MrNoookie 2 months ago
Has anyone found the proof for x^y=y^x? I tried looking or it and the only thing I found was on some sight called Ask Doctor Math but the explanation was only partial and confusing.
elizze6 2 months ago
@elizze6 I can disprove it right now.
x = 3
y = 2
3^2 = 9
2^3 = 8
9 does NOT equal 3, therefore x^y = y^x is not true for the set of all real numbers.
belliebum12 2 months ago
@belliebum12 change the 3 to an 8
belliebum12 2 months ago
@belliebum12 I know it doesn't work for all real numbers. I'm just wondering why it ONLY works for x=4 and y=2.
elizze6 2 months ago
In response to being asked to serve food to table 2 to the power 4: Sorry sir we don't serve arses here.
Tossphate 2 months ago
Do the British also have Sciences Jams?
ntheory 2 months ago
Was this filmed in London St Pancras train station?
Joshjames17 2 months ago
zzzzzzzzzzzzzzzzzzz
Typho0n86 2 months ago
0:07 ... he sounded like such a paedophile xD Sweet 16!!! :L my favourite age :D .. I mean number....
skulsaw 2 months ago
The dangers of being too clever when dealing with waiting staff...now I want a Peroni...
Naddig74 2 months ago
Wow, she's CUTE!
RubertaLang 2 months ago
Ohhh she has a loop in her hair... So sweet <3
ndpratas 2 months ago 24
Do a video on the number 108. That number follows me everywhere!!
Luigi4911 2 months ago
@Luigi4911 is that your IQ?
teknown 2 months ago in playlist More videos from numberphile
@teknown Is that supposed to be a joke? Because it is an average IQ so it wouldn't really be a good joke then.
LamaPaj 2 months ago
@LamaPaj it wasn't a joke, just a funny coincidence ^^
teknown 2 months ago
Still wonder why they choose 42 as the answer to all and every thing.
ElmarBischof 2 months ago 2
what a coincidence, my penis measures 16 inches
corri303 3 months ago
This has been flagged as spam show
Number 69 is my favorite ;)
HarryPeeks 3 months ago
That waitress spat in your food.
jacksawild 3 months ago
If anyone is still looking for a simple proof for this x^y = x^y -> x^y = 16 "problem" given in the video and can't find something on the internet just like I couldn't (mainly because you don't really know what to search for), I came up with one and wrote it down:
gammahoo[.]de/sixteen (remove the brackets)
GammahooX 3 months ago
You must do a video about the golden ration or 1,6180...
superfunny1972 3 months ago
@superfunny1972 I think they're only doing integer numbers for now but I don't know for sure. Besides there already is a video on the golden ratio by sixtysymbols which is another channel by Brady so I wouldn't expect that too soon. :P
GammahooX 3 months ago
23 Enigma, please look into it. The single most frequent number I notice in my life everyday.
Vendeteran 3 months ago
why not remove the school kids and replace them with tasty beverages? lol
phanatadashi 3 months ago 3
throughout the whole time he was talking i was thinking..that guys gonna tip his beer over.
andrew14566 3 months ago
My favorite number is 16 because that's when MOTHERFUCKING CHARMANDER evolves to MOTHERFUCKING CHARMELEON
andrew14566 3 months ago 170
@andrew14566 You have 16 thumbs up!
LudicrousPlatypus 2 months ago
@andrew14566 FUCK YEAH!!!!!
shadowkatie2 2 weeks ago
@andrew14566 Thats freaking wierd only a few hours ago was the first time i heard about charmander and turning into charmelon!
KDDIRL 4 days ago
@KDDIRL Never tried a charmelon. Is that like a charmango?
SapphireSiren 2 days ago
@iantheuncountable Actually it's even better: that property of 4 holds for every hyperoperation not just the ones you mentioned. :P
GammahooX 3 months ago
This has been flagged as spam show
If there is no proof, there is no point.
Please post a proof.
arthritismutilans 3 months ago
16 ounces of beer gone to waste.
Raman711 3 months ago
i like this number because i like 16 y.o. girls.
Moorich 3 months ago
i would bang her
nmuller789 3 months ago
The beer dude! THE BEER!!!!!
damianpaz 3 months ago
is that british Jason Segel?
ncteisen 3 months ago
What if X and Y are not integers?
BeastOfTraal 3 months ago
@BeastOfTraal plot x^y=y^x with wolfram alpha.
Pferdekopfnebel 3 months ago
I'd say 4 is an even cooler number than 16. 2 + 2 = 2 * 2 = 2^2 = 4, and what's more, each of those expressions that equal 4 has exactly 2 operands.
iantheuncountable 3 months ago
What does pub guy do for a living now that he's no longer teaching?
illustriouschin 3 months ago
That beer is still full...
toucheJSHAYdynasty 3 months ago
2 and 4 are not the only numbers that the X and Y can represent to get 16. You ever think of 16 to the 1st? I swear, I'm sick of these people who flunked out of Math and Physics 101 trying to do YouTube videos.
FastFoodConnoisseur 3 months ago
@FastFoodConnoisseur "you ever think of 16 to the 1st". Hm, so according to you 16^1 = 1^16 -> 16 = 1
Lol, are you retarded or just stupid? Besides "these people who flunked out of Math and Physics 101" are mostly maths or physics professors.
GammahooX 3 months ago
Brady, I am sorry to say that so far, this is the least interesting channel. It seems rather arbitrary in the way videos are done so far. I think more complicated mathematics would be more interesting: Fermat's Last Theorem, or perhaps some complicated mathematical problems; issues in the field.
4jonah 3 months ago
@4jonah
Check out claymath (dot) org and look at the Millennium problems. They are supposedly the most difficult unsolved math problems. I don't even understand the explanations given, so perhaps some videos on those?
4jonah 3 months ago
Can you show me how to divide matricies?
DionysianUrge 3 months ago
@DionysianUrge Multiply by the (Pseudo-) Inverse.
GammahooX 3 months ago
@GammahooX I didn't think it was possible... I have been shown the light!
DionysianUrge 3 months ago
Can somebody please post a proof?
arthritismutilans 3 months ago
Great video! Do you only do integer videos, or would you do a video on say Liouville's number?
jaredwenvent 3 months ago
these video's are cool, but i can usually only handel 2 minutes of them
TheSOA93 3 months ago
do number 69 or 64 plz
dictionary70 3 months ago
Can you have a look a 32 please?
I'm an Engineering student a Nottingham and love your videos especially the one with the Tetris champion
However 32 I think is interesting. Apparently is you ask someone to pick a number between 50 and 1, them not being allowed to pick 50, or 1, 32 is the most picked number.
It was only when I heard this and thought about it that I realised how often when posed with picking a random number that I picked 32. Since hearing this I've now seen how often it occurs
sodnpoo 3 months ago
I'm an (ICT) teacher. I totally agree with the idea of getting rid of the kids and replacing them with a tasty drink ;-)
pikuorguk 3 months ago
@numberphile would that not be cubed instead of square
GSA14101996 3 months ago
This channel should give out problems like these and then give the answer (if there is one) in a following episode ^^
Dextomus 3 months ago
this channel is getting boring already
librahim2 3 months ago
22 is a pretty cool number... Can you do a video about it?
helloitserica 3 months ago
ok... I've been playing with this since I've seen it, besides 16, is it possible to find the same thing for rational numbers
where x != y are rational and x^y=y^x
anyone tried it?
juraj89 3 months ago
Her smile is beautiful.
Requiemes 3 months ago
@Requiemes I was thinking the same... ;)
ndpratas 3 months ago
or do the number 64 please
dictionary70 3 months ago
do 69..
dictionary70 3 months ago 24
so is 81
ganaschico 3 months ago
This comment has received too many negative votes show
i would skull fuck the shit out of that teacher me and jamie talked to on Wednesday oh wow her eyes would be perfect whilst givin head
qensharrit 3 months ago
This comment has received too many negative votes show
jeez brady your videos have become so crap ever since u put ur fugly face in them
qensharrit 3 months ago
miss walaces ass is so fine
qensharrit 3 months ago
im kidin i be trollin
qensharrit 3 months ago
no one wants to hear ur life story u fukin retard
qensharrit 3 months ago
Do a video on what happens when you divide a number above 0 by 0! :D
Dribblehand 3 months ago 29
@Dribblehand I always found the limit as x approaches 0 of x/x more interesting.
Mewigi 3 months ago in playlist More videos from numberphile
@Mewigi What's interesting about that? x/x the x's cancel, the limit is 1, problem solved.
GammahooX 3 months ago
@GammahooX Wait shit, you're right. I meant just 0/0, not a limit. I was tired.
Mewigi 3 months ago
@Dribblehand That will be the number itself ;-)
:factorial:
Pferdekopfnebel 3 months ago
@Dribblehand infinite, if using limits
brenoakiy 3 months ago
@Dribblehand no number can be divided by 0 (even 0 cant be devided by itself), they could make a video about why you cant do that, but its kind of simple: divide 12 apples on 2 piles -> you 6 on each pile. divde 12 apples on 0 piles -> there are no piles, but where are the apples then? they have to be somewhere but the expression 12/0 gives them no space to be in. therefore x/0 is not defined (which is means the same as "you cant do that")
Creepyseven 3 months ago in playlist Weitere Videos von numberphile
@Creepyseven You can define (and it makes sense in many cases) x/0 where x > 0 to be lim y->0 x/y in which case 12/0 would be infinity. 0/0 is a bit more interesting - it turns out that it often ends up being a hole in a function at a non-infinite point. For example the function (x-1)/(x^2-1) returns 0/0 at x=1 yet the graph would show that it should be 0.5 (and L'Hopitals Rule for that matter).
GammahooX 3 months ago
@Creepyseven I meant lim y->0+ x/y. Otherwise you will end up with +- infinity problems. :P
GammahooX 3 months ago
@Dribblehand Well if you have an n natural number, and you divide by 0!, you get n since 0! = 1
wolterh6 2 months ago
These guys seem to be even bigger nerds than the ones on the other channels - love it!!!
afhdfh 3 months ago
She is BEAUTIFUL!!!
She could talk math to me anytime
<3
themanme 3 months ago
A example? What else is a perfect square
GSA14101996 3 months ago
@GSA14101996 the doc meant in terms of the other perfect thingies, like 3^3, 4^4, etc... some shoddy editing probably didn't help.
numberphile 3 months ago
@GSA14101996 Yeah that was a brain malfunction :-) If the base had to be the same as the exponent then 2 ^ 2 would be the only perfect square. Perfect squares have integer / whole number roots, so 9 is a perfect square because the root is a round 3. Square any of the integers 1,2,3,4,5,6,... and you will arrive at a perfect square. All numbers greater than zero have a real square root, but only the perfect squares have integer roots.
Inaflap 3 months ago
@darkdudironaji If I understood the video right the first number in the binary sequence was 0 and the last was 255. If that is true then the 8-bit processor holds 256 numbers - 1 thru 255 plus the additional digit 0. One of the few circumstances when a number plus 0 equals another number!
singlespies 3 months ago
Look at the web address it says: Uploademail
Jumbopigs 3 months ago
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looperkiller 3 months ago
Comment removed
WiVaBo 3 months ago
This kind of video suits my mathematical maturity level perfectly :)
chakravarthy123 3 months ago
"why we dont we get ride of the school kids and replace them with tastey beverages" lol
buffita74 3 months ago 2
I am so going to the next mathjam in Glasgow !!!
m1t3com 3 months ago
@m1t3com PS: I would be very nice to make videos with more advanced maths
m1t3com 3 months ago
Squares are orderly, rational, and mostly a man-made geometrical idea - they're extremely rare in nature aren't they? Why then are they so useful to mankind? It would be interesting to talk about others: triangles, circles, hexagons, pentagons, etc. and the individual properties associated with each.
singlespies 3 months ago
my favourite # is phi. even though I was born on April 4. (04 * 04 = 16) woa! so much co-incedienceerbly
OpiatedBliss 3 months ago
happly waiting for the 36 vid now :D
animewisher 3 months ago
It says this video was posted 16 hours ago. hmm :)
noraasworld 3 months ago
16 squares is a much better presentation than the unit circle.
viewsview 3 months ago
It is like asking for another number that when multiplied by itself or raised to the power of itself is equal to the same number, just 2 and 1 can do that. Because for these two numbers it is the same operation. Needless to say, 2^2=2*2=4 so 2^4=4^2.
SuperFinGuy 3 months ago
16 is also the square root of your last video, 256: although you claim it is about the number 255 incorrectly!
singlespies 3 months ago
@singlespies agreed, because 255 is the 256th positive integer d^_^b
I'm also disappointed that they did a video on 16 and did not mention the hexadecimal number system.
And speaking of roots, powers and squares of the 16 and 255/256 videos: In adition to 16^2 = 256, the root of 16 (4) by the power of itself (x^x) is 256, which makes 256 the perfect square of a perfect square :D
All of these numbers are fun, since they are all in the line 2 in powers of 2 in powers of 2...
gulllars 3 months ago 2
@gulllars we're doing a different video on hexidecimal...
numberphile 3 months ago
@gulllars 255 is the 255th positive integer. 0 isn't positive or negative.
darkdudironaji 3 months ago
@singlespies No, they're correct. An 8 bit processor can only go up to 255. The easiest way to tell is the windows calculator. Make the view "programmer" and put in 255. Then click the bubble next to "bin" it will give you the binary, which is 11111111. If you do the same thing for 256 you would get 100000000. 256 in binary is 9 numbers long, so it wont fit in an 8 bit processor.
darkdudironaji 3 months ago
@darkdudironaji this is a number about 16 not 255
nrm6032 3 months ago
i feel like u guess never have working markers
TheLildude47 3 months ago
I once asked if I could have some food and booze delivered to table 4 squared.
The bartender punched me in the throat and called me a prick.
passwordresetisbroke 3 months ago
Did you do a video on the square root of -1 yet?
Or was that just my imagination?
culwin 3 months ago 63
@culwin lol
but srsly, they really should do a video on it...
brenoakiy 3 months ago
so some bar wench didnt understand that 4 squared is 16 yet she has no problem charging a ridiculous price for a cold beer??!!
TheBenMcLean 3 months ago
XD get rid of the schoolkids and replace them with tasty beverages xD
RandomNinjaOfEvil 3 months ago
I 3 16
RandomNinjaOfEvil 3 months ago
great video, but i don't know what this world is coming to if we need a calculator for 2^4. just sayin' xD
markmannification 3 months ago
Do a video on 1337
JusticeSportsman 3 months ago 2
Interesting.
BangaviSlamovi 3 months ago
Do a vid on 100
coolster01 3 months ago
do a video on 0!!
imashelchazona 3 months ago
Can you guys do anything with 1's?
Sqvusz 3 months ago
My birthday's feb 1st
Sqvusz 3 months ago
The x^y=y^x problem is actually doable for anyone who knows basic differential calculus, and it's fun to solve.
wesselbindt 3 months ago
@wesselbindt You can do it without calculus too I believe...
wowsa0 3 months ago
Too bad this wasn't posted on the 20th because I just turned 16 on the 20th.
evolvingboard 3 months ago
my personal opinion - good video, but too long for something simple. Something like this should be done in a minute - like MinutePhysics :)
well done :)
Geeoorrgeee 3 months ago
@Geeoorrgeee You must of missed the part where they were talking about other things. If someone wanted to only find out why 16 is so great, they could of googled it. These videos offer interaction, their stories -and- the subject matter.
QwoPhasaArius 3 months ago
@QwoPhasaArius thank you for kind of getting the other dimension of these videos... though perhaps your average numberphile is less interested in such things! ;)
numberphile 3 months ago
thats not how u write an x
BKMarcelus88 3 months ago
These videos are great!
Villex93 3 months ago
@Villex93 thank you!
numberphile 3 months ago
0.0625 also satisfies this.
((-2)^(-4)) Equals ((-4)^(-2)); y equals-2; x equals-4. this satisfies x^y equals y^x because its 0.0625 so its not the only number that is a square of a perfect square.
ethoxyethaan 3 months ago