So topology studies shapes. When you have such a shape you can construct an algebraic thingy that corresponds to each shape called the fundamental group Basically then if you can show that the shapes have different fundamental groups they're different shapes in the sense that one cannot be smoothly deformed into the other. So in topology a square and a circle are the same shape because if you think of it like playdough you can reshape one into the other.
@@micayahritchie7158 Im so glad I got to play with "dough" as a kid because now in geometry and topology I often ask myself "but what if this thing were made of dough?" To better understand what s going on
The two rings together have a different fundamental property than the two rings apart, so there is no "real" (read 'magic' or 'trickerx' here) operation that can transform one to the other It would break a sort of mathematical conservation law (like energy conservation in physics)
@@IIIztosee topology is one of the hardest if not the hardest topics in mathematics. source:- took a topology course during my bachelors. almost messed up my grade lol
the rings have tiny gap that allow rings to be connected easily. but to make sure those gap not seen by audiences, magician hands play a big role in making sure it work smoothly
Yes, the point is that if the magician was being honest with us, it would be impossible. We can mathematically prove it. So it's clear through mathematical logic that the magician is not being honest with us.
@@anthonyfaiell3263 The whole point of magic is defying physics. If someone claims to be able to alter the laws of physics at a whim, you can't use physics to debunk their claims. No, I do not think magic is real, but you can't prove it's not.
The goal is to show that the two spaces are not homemorphic, which, in layman's terms, means that one cannot be transformed into the other by continuous deformations (stretching, twisting etc, but tearing is not allowed). In general it can be difficult to show that two spaces are not homeomorphic, so invariants are considered. If two spaces are homeomorphic, their corresponding invariants are necessarily equal. Equivalently, if the invariants differ, the spaces must be necessarily non-homeomorphic. The fundamental group that the dude is talking about is one such invariant.
Exactly... mastering sleight of hand is difficult... and the mechanics of a magic trick really isnt the magic... the magic is the magical experience you get from witnessing a very crafty and skillful magician. Magicians create experiences. They allow you watch and see things that optically are indistinguishable from real magic.
Anywhere there are graphs applications of algebraic topology are lurking nearby. Logistics and networks are whole industries that use them constantly. They have working groups and stuff.
So one magician called me on the stage and he asked me to do it. I gave the exact same reason and he made the whole crowd laugh at me. He asked my college name. I said. I studied Applied Mathematics from IIT Roorkee. And what a joke he made on me. He said that it's something that is beyond mathematics.
Understanding requires effort, something most people don't want to apply. And the way they rationalize being ignorant is by belittling people who are more intelligent or who have put more work in than them.
damn, as a magician myself, that is a dick move. You shouldn't make a single person feel bad even if it makes a lot of people heppy. I'd give you a hug but i can't cause magic aint real :(
At lower levels, maths is a language that makes things in life easier to understand. At higher levels, maths makes things in life harder to understand.
@@Grizzly01 You misinterpreted a person saying it only now seems obvious to them that objects usually cannot pass through each other as an attempt at humor. Are you 1?
@@Grizzly01 You most certainly did. There's no way thanking a person for explaining something could be misconstrued as a joke. You haven't spent enough time on earth, my friend.
I strongly advice anyone interested in mathematics to watch his full knot theory course - it is the best one on youtube for sure, you'll like it, believe me
The videos that show the separation of the two episodes from each other on TH-cam collect millions of like. , the videos that show the impossibility of that:-....🙄
What is bad about highschool math tricks? I mean if you want to learn advanced mathematics, then I think reading a book and trying to solve some problems from that topic is better than watching a video about it.
We have several lecture series on the channel that may be of interest - graph theory, knot theory, differential geometry, advanced linear algebra, metric spaces, etc.
@@sebgor2319 These so called math tricks are just baby gibberish which won't do you any good in any real problem situation. Also when you decide to actually study math you won't be calculating anything at all. I am German and having 3 degrees from German universities and one of those is in pure Math, so let me tell you if you wanna learn what you call advanced mathematics you can forget any "trick" you know as it is not a trick just some useless clickbait.
@@Pommes736 I know that there is like no calculations in advanced maths. Still Im talking about highschool People that learn Basic calculus, or Basic algebra(factoring, or quadratic formula). I mean this math videos might be useful for them.
Magicians often preface their act by pointing out everything you see is a trick, employing suggestion, distraction and other devices, some of them ancient. Derren Brown does it all the time.And he would be the first to admit that there is no such thing as Magic. The whole world is a marvel but not a miracle. R, 😎❤️👹🤩🥸😍👍.
For circles in a 2D plane, is there a concise mathemical way of determining if the circles overlap, and to what extent they overlap? Specifically on a complex plane. Without measuring radii, distance... if possible. More, "based on principles?"
@@ben_jammin242 How could it be possible to tell if two circles overlap without distance? Overlap is a question of the intersection between two sets of points. Without distance, how do you have a notion of position and hence overlap? How do you even define the circles in the first if you aren't given radii?
My best attempt to put this in layman’s terms: Given 2 “spaces”, for example, the space of two unlinked rings and the space of 2 linked rings, the fundamental group is a way of classifying all loops in this space. A loop here is a curve that starts and ends at the same point (not the same as the rings themselves). More specifically, we say 2 loops are equivalent if you can continuously deform one into another. If 2 spaces have a different fundamental group, you cannot continuously transform one of the spaces into another. Here, by showing that the fundamental groups are different because one is abelian and the other is not, we can deduce that you cannot continuously transform 2 linked rings into 2 unlinked rings
They're not frauds, that's the ENTIRE POINT. The do something that creates an ILLUSION of magic. If you can't enjoy a magic show for the incredible ability to create illusions that appear believable, then kindly stop ruining it for everyone else.
Most of the people couldn't get the logic though. Because it is one of the hardest topics in pure mathematics . Much difficult than general and differential topology . This is my opinioin though as a master's student of Mathematics . Fundamental group is mind blowing and destructive topic I say in Algebraic topology . The lifting thorem , induced holomorphisms . It is beautiful ❤️❤️.
Magicians arent frauds lol, theyre entertainers lol. Everyone knows its sleight of hand and misdirection... yhe real magic is not in the method or trick in itself... its the ability of a magician to present and create an atmosphere that gives you a magical experience. Even the most ridiculous trick can give you a very magical experience when done by a very good magician. Lol
Of course there's no such thing as real magic, nerd boy. There's always a gimmick. But slight of hand, illusion and misdirection make it entertaining. Why can't you just be entertained?
Fuck, my prof made set theory so fucking boring. Just a constant stream of terminology and droning. I wish they had related it to a more entertaining concept like this. You never know what will help a concept click (and stay clicked.)
Wow that explanation was much clearer. Up until now I thought that it was possible to separate two fixed rings that were linked together. 🤔🤔🤔 Never trust a magician to chain your bike up. It just comes loose.
This dude is just making up words and pretending to be a professor. *Pft* i can do that "first we have to find X " *starts crying knowing no one can find my ex * (Im kidding obviously this man clearly knows his stuff )
I’m not sure I fully understand what you said my guy, but from what I’m gathering you didn’t prove the magician a fraud, you proved that the only possible way it could be physically done is through magic. just saying
well yes, he has the basic idea, as some have the beliefs of super natural, other worldly, paranormal events,, but in reality about 300, 000 years ago a group of space fairing pirates called anunaki came to mine earth's resources, they needed a slave colony race to help with that they Harvested ovaries from sasquatch people females, they used anunaki sperm, used anunaki women to surrogate mother the first humans, who were clones, then as genetic improvements happened it was discovered that our ancestors were too smart to be a slave colony race as desired, so inhibitors were placed into the dna of our ancestors, these inhibitors turn off access to understanding what I estimate to be 75% of the true universe which is interdimentional ... sooooo. magic really only exists because off turned off dna, hope that helps,,
So maybe when a very good magician is an artist story teller, a master at the craft and execute a silly trick with a great amount of creativity and skill.... maybe yhe trick isnt real magic, the real magic that happens is the experience.
![[UNCUT] “บอสณวัฒน์” ลากไส้!! ใครหนุนหลัง "แม่ตั๊ก ป๋าเบียร์" I คนดังนั่งเคลียร์ I 30 ก.ย. 67](http://i.ytimg.com/vi/QlD7mU2KKRk/mqdefault.jpg)
No idea what he's talking about but i admire his enthusiasm.
So topology studies shapes. When you have such a shape you can construct an algebraic thingy that corresponds to each shape called the fundamental group
Basically then if you can show that the shapes have different fundamental groups they're different shapes in the sense that one cannot be smoothly deformed into the other.
So in topology a square and a circle are the same shape because if you think of it like playdough you can reshape one into the other.
@@micayahritchie7158 Im so glad I got to play with "dough" as a kid because now in geometry and topology I often ask myself "but what if this thing were made of dough?" To better understand what s going on
Yeah, and the rings have a slot, you just have to keep your fingers over it at all costs
Definitely needs to work on his sleight-of-hand. 😅
He seems to be having an asthma attack
that's why we need algebraic topology
Ok but I don't even know how you'd compute the fundamental group of two interlocked rings
@@micayahritchie7158you compute it on the complement
@@micayahritchie7158 It is the fundamental group of the complement of (a neighborhood of) the links. See the full lecture linked in video for details.
@@MathatAndrews A neighborhood as in sunset of Euclidean space it's embedded in?
@@micayahritchie7158 You can just think that we are finding the fundamental space of 3-dimensional space, drilling out the links.
I could study for abelion years and still not understand this.
It's pretty simple, grab 2 rings that are linked and try to unlink them. Boom, you understand.
Bravo. Well done. The guy above has zero sense of humor or perception.
@@CLove511 😂🤦♂️
I think Abelian means = symmetrical!
The two rings together have a different fundamental property than the two rings apart, so there is no "real" (read 'magic' or 'trickerx' here) operation that can transform one to the other
It would break a sort of mathematical conservation law (like energy conservation in physics)
Abelian. I thought he said a billion at first jeez. 😂
a single word that sets apart the math chads and the virgin engineers
@@g_rr_ttthe burn~~
@@g_rr_tthell yeah!
If it’s any consolation so did I.
*_" I thought he said a billion"_*
Me too!
{:o:O:}
Glad he cleared that up.
I so hope he’s going to make a video debunking the tooth fairy using eggplants. We need it.
😂
@@carebear2883😂
Real life application haha
Where is sin cos tan
@@gameseeker6307in trig
@@gameseeker6307engineering
@@gameseeker6307In your computers to function at all, and planes to fly, and electricity to work.
Who said math is useless 😅
The real magic is that someone in the class learned that magic isn't real.
Next week debunking Santa and the Easter bunny.
Don't leave out the tooth fairy
@@jacquesroche7654I did leave out the tooth, and dont call me a fairy! 😂
@@ifireatwill2225surely, you cant be serious
Man teaching the hardest topic in mathematics just so casually.
By far not the hardest topic in mathematics
@@IIIztosee topology is one of the hardest if not the hardest topics in mathematics. source:- took a topology course during my bachelors. almost messed up my grade lol
@@vincentchan4777proof qed 😅
@@vincentchan4777that's like saying "biology is the hardest topic in the study of life"
@@kokid312kokidactually, the hardest topic in the study of life is defining what a woman is ☝🏻🤓
Mathematicians. Spoiling magic since 1665
They say earning your first Abelian is the hardest one.
You can tell he's dedicated to his profession. The little smile of accomplishment on his face. Teacher by choice
We certainly don't do it for the pay! 😃
No idea what I just witnessed
Me too
it was the second coming
Proof that magic is real
I don't think it was proof that magic doesn't exist 🙄
Abelian
the rings have tiny gap that allow rings to be connected easily. but to make sure those gap not seen by audiences, magician hands play a big role in making sure it work smoothly
And that's why you probably fail math.
@@abrammedrano4392What do you mean?
Yes, the point is that if the magician was being honest with us, it would be impossible. We can mathematically prove it. So it's clear through mathematical logic that the magician is not being honest with us.
@@anthonyfaiell3263 The whole point of magic is defying physics. If someone claims to be able to alter the laws of physics at a whim, you can't use physics to debunk their claims. No, I do not think magic is real, but you can't prove it's not.
David Blaine checking in lol
Loved the excitement, never expected it in a maths class😂😂👍
The best professor I had in college was my differential equations teacher. He clearly loved the subject.
Now I understand even less the reason why that's not possible. 😬
The goal is to show that the two spaces are not homemorphic, which, in layman's terms, means that one cannot be transformed into the other by continuous deformations (stretching, twisting etc, but tearing is not allowed).
In general it can be difficult to show that two spaces are not homeomorphic, so invariants are considered. If two spaces are homeomorphic, their corresponding invariants are necessarily equal. Equivalently, if the invariants differ, the spaces must be necessarily non-homeomorphic.
The fundamental group that the dude is talking about is one such invariant.
I say this professor is worth abelian
Yet I don't even get paid half that!
It's amazing how magicians are able to undo that connector and put it back together so fast we don't see it 👍
They disguise reality a different way.
Exactly... mastering sleight of hand is difficult... and the mechanics of a magic trick really isnt the magic... the magic is the magical experience you get from witnessing a very crafty and skillful magician. Magicians create experiences. They allow you watch and see things that optically are indistinguishable from real magic.
Ah good old group theory. 😂
In this case we should be using ring theory lol
@@deananderson7714HAHA good one
@@deananderson7714nicest joke ever award goes to you, sir
Love the girl in the back that groans in disbelief after the teacher says he has just proven that magic isn’t real! Hilarious 😂
Thanks man, here I was, thinking they were stuffing 20 bunnies in a hat and chopping people in half
The only real life application of algebraic topology
Clueless
Anywhere there are graphs applications of algebraic topology are lurking nearby. Logistics and networks are whole industries that use them constantly. They have working groups and stuff.
I guess you don't know about topological data analysis
So one magician called me on the stage and he asked me to do it.
I gave the exact same reason and he made the whole crowd laugh at me.
He asked my college name.
I said. I studied Applied Mathematics from IIT Roorkee.
And what a joke he made on me.
He said that it's something that is beyond mathematics.
Super villain origin story
@@sirpomegranate2446literally
Understanding requires effort, something most people don't want to apply. And the way they rationalize being ignorant is by belittling people who are more intelligent or who have put more work in than them.
Sounds like you need a mathematical support group! *hug*
damn, as a magician myself, that is a dick move. You shouldn't make a single person feel bad even if it makes a lot of people heppy. I'd give you a hug but i can't cause magic aint real :(
Magic is precisely about doing something impossible. It's about pretending to do something which is yet impossible.
you mean like the theory of human creation?
@@GarnetDart ?
@@LightKnight_Age_Of The theory that God made man. You summed it up perfectly. Impossible
At lower levels, maths is a language that makes things in life easier to understand. At higher levels, maths makes things in life harder to understand.
Pretty apt description.
@@MathatAndrews 🫡❤️
SMH! The dude doesn't even know how much a billion is! 🙄
Thanks, now you say it it appears obvious 😅 wasn't so sure before
You weren't sure if it's possible for objects to pass through each other? Are you 3?
@@josh8584 You were unable to detect the obviously humorous intent of the opening comment? Are you 2?
@@Grizzly01 You misinterpreted a person saying it only now seems obvious to them that objects usually cannot pass through each other as an attempt at humor. Are you 1?
@@josh8584 I misinterpreted nothing. You, however...
@@Grizzly01 You most certainly did. There's no way thanking a person for explaining something could be misconstrued as a joke. You haven't spent enough time on earth, my friend.
This is one of those "no math required" type problems!
Glad he's having fun though!
You must be the life and soul of the party . Next week’s lesson for the kids is Santa doesn’t exist
Magicians are smart . They came up with an attractive application of science and called it magic.
Next time I am at a magic show:
*_”haha … tHaT rInG’s NoT aBeLiAn!”_*
And the magician will answer ‘dang ! He knows I’m not doing actual magic 😩´
12k likes on this video wow! Good to see Topology getting the spotlight it deserves!
Imagine him on a first date in the audience of a magic show 😂😂😂
I strongly advice anyone interested in mathematics to watch his full knot theory course - it is the best one on youtube for sure, you'll like it, believe me
When math creeps up in your TH-cam feed like tests on Friday in school ...
I hate mathematics for this reason as chemistry major ( typology is really important in chemistry unfortunately 😢)
The videos that show the separation of the two episodes from each other on TH-cam collect millions of like.
, the videos that show the impossibility of that:-....🙄
Yeah
How really smart say, “I don’t know how they do the trick.”
I was captivated the whole time.
Probably because you were abelian
I've been to many of his lectures. He is great!
Thanks!
Finally some real math, not this high school gibberish from youtubers who not even having a math major or even could hope to get one in a mio years
What is bad about highschool math tricks? I mean if you want to learn advanced mathematics, then I think reading a book and trying to solve some problems from that topic is better than watching a video about it.
We have several lecture series on the channel that may be of interest - graph theory, knot theory, differential geometry, advanced linear algebra, metric spaces, etc.
@@MathatAndrews Thanks for letting me know.
@@sebgor2319 These so called math tricks are just baby gibberish which won't do you any good in any real problem situation. Also when you decide to actually study math you won't be calculating anything at all. I am German and having 3 degrees from German universities and one of those is in pure Math, so let me tell you if you wanna learn what you call advanced mathematics you can forget any "trick" you know as it is not a trick just some useless clickbait.
@@Pommes736 I know that there is like no calculations in advanced maths. Still Im talking about highschool People that learn Basic calculus, or Basic algebra(factoring, or quadratic formula). I mean this math videos might be useful for them.
Next, he’ll use Euclidean geometry to prove that Santa’s sleigh could never cover the whole globe from his starting point in the North Pole. 🎅
We need spherical geometry for that!
Want to learn algebraic topology 😢
Shhh
We will be posting a series of lectures introducing algebraic topology in the upcoming months!
I'm sure this is hilarious, but as a musician this is beyond my comprehension, so I frown.
You can't call something a fraud when it was never claimed to be true in the first place.
Magicians often preface their act by pointing out everything you see is a trick, employing suggestion, distraction and other devices, some of them ancient. Derren Brown does it all the time.And he would be the first to admit that there is no such thing as Magic. The whole world is a marvel but not a miracle. R, 😎❤️👹🤩🥸😍👍.
When is a knot not a knot. I find it fascinating that a knot displaces more negative space than a not knot
Niels Abel is really proud 🎉
"Frauds"?
No, more like... entertainers.
TRUMP 2024😊
Today's lesson:
How to make mathematics seem even more ridiculously pointless than it already seems.
My five year old daughter and I were just discussing this the other day.
How did I ever get this far in life without knowing that??
I'm regrateing not taking algebraic topology course.
I guess he doesn't believe in Santa Claus either...🎅
Them: you'll never need algebraic topology in the real world
This guy: took this personally
Correction, you have proven a case where your math doesn’t work!
Lol😂
What is the “real-life application of algebra??
Topology was soo long ago...
Is the difference between the fundamental groups the number of holes?
Essentially! We have a lecture on the fundamental group on the channel you can watch.
i ll bet theres a 1000 magicians who will prove otherwise
Math is like magic, but real (& imaginary... it's a complex idea)
What's purple and commutes? . . . An abelian grape.
Penn and Teller should just shout 'Abelion' at every trick!
When you ask your math professor for real world application of algebraic topology
People who didn't understood 😅
👇
I thought he was saying "not a billion"
Yes, I was just about to say this same thing.
And yet the rings still somehow come apart.
My abstract algebra teacher in college was not like that
Just the casual backwards arrow
I came to see a magic trick and got an Algebra lesson instead... Now I know what's a billion and what's not a billion.
You know we just had an argument about that last night.
Leave it to math to settle an argument!
This guy truly is abelianaire.
The excitement in the class is so MIT
Algebraic topology is indeed magic
I thought it would be more than a billion...🤔😒
he wrote "abelian" right?
I’ve watched this abelion times and still don’t get it ❤😂 😭
He's good. I bet he'd be good at explaining quaternians!
Started off as a joke, culminated in an idea for a project. Thanks!
For circles in a 2D plane, is there a concise mathemical way of determining if the circles overlap, and to what extent they overlap? Specifically on a complex plane. Without measuring radii, distance... if possible. More, "based on principles?"
@@ben_jammin242 How could it be possible to tell if two circles overlap without distance? Overlap is a question of the intersection between two sets of points. Without distance, how do you have a notion of position and hence overlap? How do you even define the circles in the first if you aren't given radii?
What about in quantum physics 🤔
Thanks Kermit the Frog!
I thought that's the reason it was called magic in the first place 😂
I went to Andrew’s for a few classes so seeing this is kinda cool
Awesome!
I love people who pour so much passion into their jobs
He's so cute 😭
I want to be abelianaire
My best attempt to put this in layman’s terms:
Given 2 “spaces”, for example, the space of two unlinked rings and the space of 2 linked rings, the fundamental group is a way of classifying all loops in this space. A loop here is a curve that starts and ends at the same point (not the same as the rings themselves). More specifically, we say 2 loops are equivalent if you can continuously deform one into another. If 2 spaces have a different fundamental group, you cannot continuously transform one of the spaces into another. Here, by showing that the fundamental groups are different because one is abelian and the other is not, we can deduce that you cannot continuously transform 2 linked rings into 2 unlinked rings
The LGBT formula
who said magic couldnt be boring?
They're not frauds, that's the ENTIRE POINT. The do something that creates an ILLUSION of magic.
If you can't enjoy a magic show for the incredible ability to create illusions that appear believable, then kindly stop ruining it for everyone else.
This guy must be fun at p̶a̶r̶t̶i̶e̶s̶ math lecture.
Most of the people couldn't get the logic though. Because it is one of the hardest topics in pure mathematics . Much difficult than general and differential topology . This is my opinioin though as a master's student of Mathematics .
Fundamental group is mind blowing and destructive topic I say in Algebraic topology . The lifting thorem , induced holomorphisms . It is beautiful ❤️❤️.
Thank goodness for math to explain in the most convoluted ridiculous way what anyone can figure out in 3 seconds of hands-on experience
I mean,,, maybe that's y it's called magic? I mean,,,,phones would be a magic box to ppl from only 500 years ago so yeah.... chill,,I believe in magic
Magicians arent frauds lol, theyre entertainers lol. Everyone knows its sleight of hand and misdirection... yhe real magic is not in the method or trick in itself... its the ability of a magician to present and create an atmosphere that gives you a magical experience. Even the most ridiculous trick can give you a very magical experience when done by a very good magician. Lol
A math teacher who can't spell Billion? Hopefully his math is better than his English.
Just kidding. I know...
Of course there's no such thing as real magic, nerd boy. There's always a gimmick. But slight of hand, illusion and misdirection make it entertaining. Why can't you just be entertained?
Fuck, my prof made set theory so fucking boring. Just a constant stream of terminology and droning. I wish they had related it to a more entertaining concept like this. You never know what will help a concept click (and stay clicked.)
Wow that explanation was much clearer. Up until now I thought that it was possible to separate two fixed rings that were linked together. 🤔🤔🤔 Never trust a magician to chain your bike up. It just comes loose.
This dude is just making up words and pretending to be a professor.
*Pft* i can do that
"first we have to find X " *starts crying knowing no one can find my ex *
(Im kidding obviously this man clearly knows his stuff )
I’m not sure I fully understand what you said my guy, but from what I’m gathering you didn’t prove the magician a fraud, you proved that the only possible way it could be physically done is through magic. just saying
Debunking magic?? Ahahah scientism is so stupid, of course magicians' tricks are tricks, everyone knows, you don't need topology to explain this.
well yes,
he has the basic idea,
as some have the beliefs of super natural, other worldly,
paranormal events,,
but in reality about 300, 000
years ago a group of space fairing pirates called anunaki came to mine earth's resources,
they needed a slave colony race to help with that
they Harvested ovaries from sasquatch people females,
they used anunaki sperm,
used anunaki women to surrogate mother the first humans, who were clones,
then as genetic improvements happened
it was discovered that our ancestors were too smart to be a slave colony race as desired,
so inhibitors were placed into the dna of our ancestors,
these inhibitors turn off access to understanding what I estimate to be 75% of the true universe
which is interdimentional ...
sooooo. magic really only exists because off turned off dna,
hope that helps,,
So maybe when a very good magician is an artist story teller, a master at the craft and execute a silly trick with a great amount of creativity and skill.... maybe yhe trick isnt real magic, the real magic that happens is the experience.