There is only One True Parabola
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- Опубликовано: 16 июн 2024
- Behold the one true parabola! All parabolas are exactly the same, just zoomed in and out.
Copy of the lecture notes:
imgur.com/a/OjvYo
Original paraboloids video:
• Paraboloids and The Bu...
Fledgling subreddit:
/ mattparker
Music by Howard Carter
Design by Simon Wright
Additional music:
Every Voice by Jimmy Fontanez
Church Bell Celebration by Doug Maxwell
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/ 
Развлечения
Thought I was going to learn math about parabolas, ended up joining a cult conspiracy against "Big Math"
xD
The New World Order of operations
Quick Maths
Big maph
I think I’ve just become a believer in ‘X-Squared Anon’
It took some time but the acid finally kicked in around the end of the video.
lol
oddly appropriate profile picture for this comment
@Boco Corwin Powerfully Concocted Parabolas
Guess you took it about 30m before it started then
So much for the separation of church and scale.
Ah, the rare "separation of church and state" joke.
When I was in algebra II freshman year I was sitting bored in class and started getting the weird idea that all parabolas were the same just zoomed. Then I fell asleep and forgot about it. 3 years later I've found this video and wow thank you
You ever wonder how many true things are idly wondered and then forgotten? I reckon it’d be quite a lot. I wonder how many mysteries of the universe have been momentarily (almost) solved. Of course, the number would pale in comparison to the number of incorrect thoughts.
Check out numberphiles video on building domes..
Haha, what a testament to our educational system
From messing in some graphing tool i also realised this.
It's fun how you can make the same conclusion as someone else without even knowing it. I did that once with the schwarzschild radius.
The ending was magnificent.
Alexey Saranchev i died at the end xD
_ MΛrCO28 _
... John?
***** ?
_ MΛrCO28 _
It's a movie, "John dies at the end"
***** oh
Okay.. the ending justifies the Rest of the video...
Viktor Onopko Agreed
Give this man 10 more likes to make it 666
9 more to summon Parabolucifer!
huh... i.imgur.com/fbw9Dkv.png
Big Smoke, you actually made a Screenshot of Parabolucifer! Thumbs up! All hail the one and only true Parabola!
"Triangles come in all shapes and sizes." Um...pretty sure triangles come in just one shape. Triangle.
An acute triangle has a different shape than an obtuse triangle. Otherwise, they'd be similar
@@jacl9976 even 2 right angled triangles need not be similar
@warmCabin then why dont they all satisfy Pythagoras theorem?
@@kingscross4233 fairly sure, that's a joke :)
@@kevinkuryshev6958
Yes, very sure @warmCabin comment was a joke. But not sure about @JACL comment's "Otherwise, they'd..." part.
4:17 Proof that Matt lives in a Non-Euclidean plane of existence!
^^
earth is round he just walked around it really fast
@@karamboubou8579, Earth's surface is Non-Euclidian.
*He lives on a torus :D*
*runs around the camera panting
that ending????
that ending.
yes.
+Jacob Shepley Nighmares forever. I'm traumatized for life!
+Jacob Shepley The ending killed me ;D
Play it backwards and you can certainly hear "Praise the ParaboLord!" ]:->
lol
Came for the Parabola, stayed for the spiritual experience
That ending wasn't spiritual, that was demonic
Although you can argue that demons are a form of spirit according to some beliefs...
Are you referring to the incredible song from Tool with the same name?
1:28 Parker circle
9:22 A Mathematicians nightmare fuel.
Percle
Before you finished the explanation, I tried to visualize it in my head and it’s fairly simple to understand intuitively. A “fatter” or wider parabola is simply a zoomed in “skinny” parabola. As you zoom into a point of the parabola, it flattens out, thus, getting wider.
I’m not 100% certain this assumption is correct, but it feels pretty solid.
I am certain, however, and I gladly take any offer to prove me wrong
Theres a graphing program called desmos which has a zoom function. Entering y=x^2 will help. Hope this helps.
I think it is exactly how it works
Hello! Do you have time to hear about our lord and savior, the one and only true parabola?
Emil Macko YES!
GLORIA IN X-SQUARIS
Creativinyx i'm*
Yeeeesssss!!!😭
I take offense to these lies.
You drew a real Parker Square of a circle there Matt.
HA
+EoF A Parker Circle.
He's squaring the circle :o
unisheep Parker Squaring the circle. Just like all the others. :'D
The Parker Circle, transcending space, time and RUclips videos.
-> "Are you religious?"
-> "I'd like to introduce you to my religion"
"9:18"
8:10
matt: y2
me, an intellectual: ½
I'm glad that I'm not the only one who noticed that.
@@madlad255 I seriously thought he just came up with a constant value by manipulating variables
yes
I paused to try and understand it and got so confused by the ½
That chalk writes reallly well...
callumissocoollikf better than marker on brown paper?
Bryan Sutphen Much better. (not sorry)
Hagoromo chalk look it up
I bet he has a stock pile of them.
They're an endangered species and mating isn't an option
love that chalk
Outro starts playing
*slowly backs away from monitor*
Elias Nierengarten xD
1:38 oh,now he’s just showing off, how rich he is
The algorithm has been recommending this video to me for ages and I was like "yeah I already know this, next" but I'm glad I finally gave it a chance. Utterly unprepared for that ending.
I literally asked my math teacher this same thing 2 years ago. her answer was :" no it doesn't work that way "...
be careful whom you trust!
My teacher asked what the different parabolas would look like approaching infinity? I answered they would all look the same. Teacher could not understand what I was trying to get him to see. There is a huge difference between what it looks like a the edge of our calculator and approaching infinity.
@perpetualengine Actually, different parabolas approach infinity at different rates. For two functions to look the same at infinity, their different needs to approach 0. For example, y = 1/x and y = 0 look the same at infinity (hence y = 1/x has y = 0 as a horizontal asymptote) since the limit of 1/x - 0 as x approaches infinity is 0. On the other hand, the parabola y = 2x^2 and y = x^2 do not look the same at infinity because the limit of 2x^2 - x^2 as x approaches infinity is not 0.
By "look like approaching infinity" my teacher was talking about the slope. An x^2 parabola "looks" like two parallel lines. He had examples of wider parabolas and made sure we were told that they would look like a 45 degree diagonal slope "as approaching infinity" but they would all "look" like vertical parallel lines. Such as the difference between x^2 and .1x^2.
Since the graph of x^2 extends forever to the left and right, it would not look like two parallel lines. If you zoom x and y both by a factor of infinity, you would get a ray pointing up with (0,0) as the endpoint. With that said, your answer is much better than your teacher's answer. Parabolas rise more and more rapidly as you move to the side, no matter how wide it is. Saying that the parabola has a 45 degree slope is absurd. A hyperbola such as x^2 - y^2 = 1 would have a slope approaching 45 degrees, not a parabola.
It’s not surprising a math teacher wouldn’t know that.
*All conic sections with the same eccentricity are similar.*
All circles are similar(e=0)
All parabolas are similar(e=1)
All lines are similar.(e→∞)
You can make an extension of this video where you discuss this in greater detail.
Like
ellipses and hyperbolas?
+Spoder Man What about them?
Adriyaman Banerjee they are conic sections
+Spoder Man Yeah.So?
9:24
9:24
9:24
These are just replay buttons. You’ll need them. XD
+
+
+
This comment needs to be pinned
@@standing_around yh lol
09:25
8:13. The trajectories of the parabolas coincide at his head, and he's giving a nice big mathematic smile! :)
There is only one true Parabola, and it's by Tool.
Respect.
Haven't heard this song for a while. Thanks for reminding :)
+rallaa
Remember, we are eternal
All this pain is an illusion
its cool how the title is a play on word for parable, which is the main theme/topic of the song. fucking love tool
its cool how the title is a play on word for parable, which is the main theme/topic of the song. fucking love tool
You get a new editing programme or something, Matt? Just trying out some new features, huh?
I love editing. My life is a constant battle to not spend too long in Final Cut.
Do go ham on editing with one video.
+standupmaths Honestly, it's amazing you get any maths done, really...
+Austin O'Rourke Thought Ray William Johnson had come back to do math for a second
+Colin Evans RIP RWJ years of =3 "You will be remembered" Only Carlos can save us now...
4:10 No calculus student trusts their self enough to write variables d and x together as “dx”
True af😂
In principle, it's fine as long as both letters are in italics. For calculus, the d should be in roman type. I don't know how to apply this to handwriting, though.
@@qwertyTRiG just write the calculus d as delta and you're fine
NickPro Or use parentheses.
@@angelmendez-rivera351 or write as d·t
1:32 I guess you could say that it's a Parker circle
I figured this out in school and my math teacher was not happy about it since I started drawing only standard parabola with the ruler and then adjusting the coordinates accordingly. After the second homework we were given the system we have to draw it into (also on all the exams). Mathematical creativity is not always appreciated in school.
+Alexander N. Benner (Nikodemus) I feel you, I've experienced that too
I had two awesome math teachers who tutored me, and got me to university level math.
i did the same with exponential plots xD
i did the same with exponential plots xD
My math teacher purposefully choose some of the parabolas we had to draw so that adjusting the coordinates was the only option to draw them.
The editing at the end made my week
"These can't be similar, I'm sorry I've misled you. But hey, let's give it a go anyways" Ah yes, the parker square philosophy
This might just be my favourite video on RUclips. I come back here every now and then just to re-experience this masterpiece. It feels like a safe place to me 😂 Thanks Matt for everything you do.
"A skinny one there [...] and a flatter one there." That's parabola shaming.
All parabola are beautiful in their own way.
*in the same way
"What immortal hand or eye,
Could frame thy fearful symmetry?"
Exactly.
#Parabolalivesmatter
You son of a parabola
THERE IS ONLY ONE TRUE PARABOLA
STANDUPMATHS IS THE MESSENGER OF PARABOLA
PARABOLA IS THE GREATEST
*dix thrown out in a parabolar motion for the parabola*
Parabolas confirmed
Can I have a Hallelujah?!
Adonai Parabola Ehad !
Paraballahuakbar!
the people need a "there is only one true parabola" tshirt
Vector artists like: “yep"
Man, I wish I had a maths teacher who was as excited about this stuff as you or Dr. Grimes.
No one is as excited as Dr Grime.
Clifford Stoll? I think he's awesome! I just don't think of maths with him so much as learning in general. But thanks to him, I have both a mini Klein bottle and a Curta calculator on my wishlists.
Shit...I said Grimes again..too much walking dead
+Thrashiko I am a maths tutor and, without shame, I steal some of Dr G's delivery in my lessons. Hey, anything to get the buggers to pay attention!
+Thrashiko Well, Dr. Matt Parker is also excited it seems! What I wouldn't give to have had such an enthusiastic educator when I was in school. Actually showing you things with excellent explanations instead of just copying examples out of the book and presenting that. :)
Best ending I've ever seen ever
"we are eternal, all this pain is an illusion"
parabol + parabola
Did not expect to find Tool here XP
I've re-watched this every year and it still brings a smile to my face. Your content is delightfully nerdy and very entertaining.
"parabolati confirmed" hahahaha
You're a dork!
Medacium Bin Amon He only said that because it was on the board in the video
Hence the purpose of quotation marks
@@faizalrahman6027 please stop
You can explain translation but what about teleportation at 4:17
It's a phenomina called "Movie Magic"! lol
I can explain that, seeing as a parabola is technically a cut through any 2 points on a circle or at least the rest bits left over. He just went from the 2 connecting ends of the parabola, which do not have 2 connecting ends, because if they were connecting it wouldn't be ends. It would be a circle. So he went around in a circle.
He is filming it in a trancendent classrom
Oh I just noticed that...
._.
MATT TEACH ME YOUR WAYS because I'm too lazy to get up and walk all the way to those cookies in Japan
It must be a cylindrical classroom.
"Close enough" *parker square flashback*
By far one of my favourite videos, not just on @standupmaths but RUclips as a whole
Oh, so THAT'S what OTP stands for!
thejuzey ... you down with OTP?
xD xD xD
Aren't you on numberphile?
+MoonSaiyan Yes I am!
standupmaths Maybe that's why RUclips recommended your channel. I haven't watched numberphile for a long time now tho. Weird. But I like it. I love math even tho I don't do good at it anymore.
+MoonSaiyan *well
That's good. You don't have to be good at math to enjoy it :) YAY!
+standupmaths That ending was hillarious! Thank you for brightening my evening :D
+standupmaths Aren't you in Dr. Who?
At 6:08 it really feels like some flat-earther's mathematical "demonstration"
8:40
zero: Am i joke to you?
I was thinking the same thing
But then:
If b = 0
Then there is no parabola
y2 = 0 for all real x2
(considering y2 = b * x2)
You cannot map anything to zero, or map zero to a function, it changes the aspect ratio
It’s no more a parabola. It will just be a straight line. Don’t you remember quadratic equations? Ax^2 + bx + c where a ISNT ZERO. If A or B in this case is 0 then the equation will be linear
Filho do Meepo That is still a parabola. Lines are degenerate parabolas
Teh Yong Lip You can map anything to zero AND map zero to a function. I have no idea of what you are talking about.
Gloria in X-Squaris
aren't all conic sections identical within their own kind
Actually, only the circle and parabola are. You get different ellipses and hyperbolas (as their eccentricity changes).
Thanks
+standupmaths obviously, I mean right. The parablah vlodmi. Hn....Words failing meee...
+Pablo Arroyo Something interesting to note, over the complex numbers all ellipses and hyperbolas are equivalent, and over the complex projective plane, all conics are equivalent.
+standupmaths I'm pretty sure that by "within their own kind" he meant "of same eccentricity". Does the point stand then?
This is my first introduction to this channel, and i love it ❤
I always come back to the video, such an interesting and funny one! Thanks for the spiritual experience, Matt.
4:17 you must have filmed this on a torus
+đỗ hoàng minh I salute your astute... ness
Good night Matt!
Good night!
+standupmaths Then I guess you're right, parabola=Illuminati
+Aitor V Same!!!!
Best edited maths videos on youtube, and also most entertaining
I enjoyed this video way too much... also thanks for the refresh on parabolas, I actually did forget some of the formulas.
Seems to me that you made it look unexpected by not actually picking corresponding points in your graph. y2 = by1/a and x2 = bx1/a, so the rectangle you drew with the axes would be similar.
Very good point. I could have picked a point further down on bx^2 with the same ratio. But I wanted to emphasise the arbitrary nature of the two parabolas.
+standupmaths I've allways seen the flat one as the tip of the skinny one, resized. In the Apollonian Cone, the parabola and the circle have a fixed tilt, while the hyperbola and the ellipse have wide ranges of tilt. Anyway, the cone can be skinny or flat as well. You've given analytical proof, could you make another video giving a geometrical proof?
+standupmaths Sometimes when I have to graph parabolas for homework, I change the scale so it is easier to graph. So I feel like I understand what you mean.
+awe lotta
And now you know that all you have to do is draw one parabola and several different sets of axes.
Wait I thought he was drawing with chalk not axes. xp
The end of this video was amazing.
nice name
I come back here almost twice a week or so. Just to die laughing once more :D
you really outdid yourself on this one Matt
Who else keeps watching this again and again for the ending?
"...is a lie perpetuated by powerful maths teachers with a vested interest"
Hilarious. Subscribed.
TomatoBreadOrgasm?
Yes? Can I help you?
why did you pick such a (eerm) different name?
TheMrCarnification A lot of people have asked me this over the years. I'll give you my usual copypasta:
When I was 19, I was trying to think up a username for RUclips (this was before Google got it, I think). At the time, I was living in a shitty, freezing apartment eating store-bought tomato soup and store-bought bread. They both tasted awful, but dip the bread in the soup and it was the best thing I'd tasted in months. I typed in "TomatoBreadOrgasm" and thought it wouldn't matter anyway, it's just a video site.
After Google Plus integration, I had the option to use my real name, but I liked the fact that people would be forced to face the fact that they can't judge a book by its cover. I decided to keep it for the sake of the contrast between my username and the things I actually say.
woah, thats a nice story, thank you.
The annotation at the beginning is hard to click as the RUclips player controls appear over it, just a heads up. :P
LOL grande what are you doing here xD
+grande1899 see the descriptions
Lapischicken Learning about parabola -s-
+grande1899 Cheers! I stretched it up after your suggestion.
wth xD
Absolutely incredible. I always loved math, but never thought a math lesson could be so funny.
best vid i've seen in a while, MEGA THANKS!
I'm pretty sure i had a calc lecture end that way before.
the ending is so sick! great video Matt!
your a great man keep doing this great work for the sake of science and math . you are making math really stand up again in my mind
Unacknowledged moments like 4:15 are why this is the best channel on youtube.
Glorious ending. You have won the internet. Congratulations!
10/10 ending more psychedellic math please
+viralinfecticide Correct. There was 1 ending.
Dr. Matt, really an amazing video.
Liked it very much.
Love you Brotha, I whised you were at my college lol, math and sciance are so fun and you make it practical, fun and amazing! Awesome ⚒ work
That ending though. XD
The way I saw it, was that the wide parabola you drew could just be shrunk down until it fit onto the tiny bottom part of the narrow parabola, which is very wide locally; and then presumably the wide parabola starts straightening out as it goes up, meaning that when sufficiently shrunk down, it would be as narrow as the the other one. So I was easily able to visualize them matching up if you just shrunk the wide one enough.
Exactly - it's just not the first thing you think of when trying to map one onto the other.
I'm watching this at 2am thanks for the nightmares
Nikki Rennardo Ahahah XD!
A year later.. I read this at 2am O.o... Coincidence? I THINK NOT!
1:18 AM.
2:01
Its 2.12 in the morning. Freaky
I'd add that similarity of all parabolas is easily seen by looking at the focus-and-directrix definition. But the algebraic argument here is more accessible, thank you for the nice exposition! (and a great video, of course)
Matt I love your little magic tricks
Sometimes I feel down, and when I do I just come back here for this ending.
that ending has scarred me for life i think.
Well, all circles have an eccentricity of 0, so they're all similar. All parabolas have an eccentricity of 1, so they're also all similar.
The first standupmaths video I watched... the good times...
You need to redo the video post-brexit to account for the smaller pound.
Matt you and the guys on numberphile are absolute heroes, partly because you guys have really fueled my love of maths over the past few years (doing A levels currently) but also because you guys are just so ridiculously in love with maths :D
This is the most Australian video I've ever seen. I really like how Matt builds up the disbelief factor about the possibility of parabolas scaling to each other.
I want to be a comedian or a mathematician this dude combines them both. I love you
Holy cows, this has to be the best ending in a science related video I have ever seen, and probably will ever see, in my life.
only if ur hindu
because holy cows
I reckon that an easier way to demonstrate it is by *zoom-ing* any single parabola at its base (or peak, if it's inverted). If you zoom in, the parabola becomes wider as the branches will separate gradually; and if you zoom out, the parabola gets skinnier.
*That way, you can map any given parabola onto any other one.* Sorry for my bad english :)
That's essentially what he did in the proof
Loved Your content💯
I probably re-watch this about once a year. The ending gag still gets me.
one parabola to rule them all
You_just One parabola to find them
Jonah Vanke I don't know this part of it
and in the darkness bind them
You_just it's "one parabola to bring them all"
AMGwtfBBQsauce ah yah
Who else thought that his y2 was 1/2
me
ChaseRiver3089 me
I did.
Can't unsee it now
That's why I checked the comments
What a nice parker circles you made in that video xD
This is my favorite video of yours
best.ending.ever
Y=X^2 IS THE ONE TRUE PARABOLA AND MATT PARKER IS ITS MESSENGER
+markog1999 I'd thumbs up, but that extraneous apostrophe makes it impossible for me.
+markog1999 allahu akparabola
THERE IS ONLY ONE TRUE PARABOLA!!!Best funny math video I've seen in a while:)
the montage at the end is bliss
Parabolati Confirmed
Morgan Laco w
7:54 It looks like he just wrote 1/2.
it would look like
1
-
2
it could also look like 1/2 which is what it looks like in this video bud
judging by the other parts of the board, he mostly uses a horizontal stroke.
Haha
Yes,
but it's considered bad practice to write fractions diagonally like that
Still one of my favourite RUclips videos
the best outro for any math video .
illuminati confirmed