12:25 I once saw a report from a experiment exercise, where they got ONE single point on a plot, and somehow managed to "fit" some line to it claiming it was linear regression... ...and the line wasn't even passing through that single point. I still can't really grasp what I saw that day.
17:20 Every base is written 10 in its own base. In binary, base two, the number two is written 10. The same goes for every base because, by definition, the base is the smallest two digit number (10) in that base
17:25 Every number system is base 10. For example, Binary is Base 10 in Binary, and Hexadecimal is Base 10 in Hexadecimal. That's why using Decimal to name numbering systems is a bit weird, since it already makes Decimal the presupposed numbering system
15:00 Relates to analytic number theory and the twin prime conjecture. The first guy is Yitang Zhang who proved there are infinitely many pairs of prime numbers that differ by 70 million or less. If P(N) stands for the proposition that there is an infinitude of pairs of prime numbers (not necessarily consecutive primes) that differ by exactly N, then Zhang's result is equivalent to the statement that there exists at least one even integer k < 70,000,000 such that P(k) is true. Twin prime conjecture is equivalent to P(2). The second guy is James Maynard, who employed a different technique, showed that P(k) holds for some k ≤ 600. Subsequently, in April 2014, the Polymath project 8 lowered the bound to k ≤ 246.
2:22 Should have told them that the natural numbers are the coequalizer category of the two constant endofunctors on the unique category with shape 0->1, that associativity follows from the fact that the natural numbers are the morphisms and addition is composition, and that morphism composition is the most associative operation you can ever get
I know what a coequalizer is, but what is the coequalizer _category_ (of two morphisms in a fixed cat I presume)? It can't be the subcategory of all coequalizers bc that's just a complete undirected graph with loops due to the UP
Ah, I understand the possible confusion here. I meant it in the sense that the natural numbers are the codomain of the coequalizing *functor.* What you seem to be describing appears to be the category of cocones on the equalizer diagram, of which the aforementioned functor and codomain will be the initial object
@@denizgoksu9868 hey, while I appreciate your answer, the coequalizing functor is just a morphism in the endofunctor category of 0\to 1, but there are just two of its kind, not \omega many, so I don't get your point
21:20 - 21:36 Yes, it does actually have a meaning. In order theory, if you write x, then the symbol, then y, it reads "x is comparable to y." This is important when you are dealing with partially ordered sets that do not satisfy the axiom of strong connectivity. For example, in the complex numbers, there is no total order compatible with all the arithmetic operations. As such, it is meaningless to say, for example, that i is less than 1, or that i is more than 1. We would say i is not comparable to 1. But if they were comparable somehow, you would use the symbol on screen. For things real numbers, the symbol is useless, but when you can have things that are not comparable, the symbol is important.
3:00 I vaguely remember that you already did videos with that axiom stuff in 2018? If I remember it correctly then that isn’t really suitable for school students and only gonna make it worse lol, especially Sekundarstufe 1
Really missed these meme reviews. Thanks for the comeback. BTW I'm thinking to start studying differential geometry. What method should I go with: coordinate free approach or component approach?
The coordinate free approach is more elegant, and better connects to topology, while the component approach is more useful in practice, for example in general relativity, and it is also more intuitive if you have a very good knowledge of functions of several variables. If I were to start again, I would do both at the same time, but it depends on your situation.
@@jfr9964 thanks for reply. I'm trying to learn it specifically for physics, so component approach would ne nice, ig. Any good book suggestions for the same?
As my friends whos graduating in math said: The greatest contributions of modern mathematicians is teacher others And legits, it's not a joke. Nor is it degrading. We gotta keep that knowledge.
Papa Flammy didn't get "every base is base 10".... Yes, it is! "2" base 2 is 10. 16 in base 16 is 10. Generaly n written in base n is 10, so every base written in itself is base 10. Except unary, but it's that one child we don't let out of basement.
13:21 no, not loops One of them is a sum (literally multiplication, but more complex). The other is a product, but its not multiplication The result of multiplication is called a product But uppercase pi focuses on powers. What.
Math is like a game of chess. There is a set of rules that you just accept (axioms), and everything else - gambits, starters etc. stems from these rules (theorems). The rules are sometimes edited if they cause a clear contradiction (irrational numbers), or are useful enough to be applied to something (negative numbers, imaginary numbers).
The he's a 10 is a really good meme. That's a sort of new format that came from a stupid Tweet from EA Games, and people begun making sentences with "He's a 10, but..." And the maths version makes it 10 times better
2:03 I don't want to get political, opinions nearly always have some bias in them, but the're people, who can't process idea that there can be actual facts, to which actual logic can actually be applied, you know what folk I'm talking about,- politicians, really religious people, advertising people, activists, people with psychosis, and they developed simple, stupid, way of ignoring facts saying "it's your opinion" or replacing words with softer versions, for example cripples are called today "disabled" even if they never were able to do thing they're "disabled in" for all their lives, idiots were called retired for some while, than it transformed into retards, and now the're called "mentally disadvantaged" people with shalshock today have "post traumatic stress disorder" old called "senõr citizens", i could continue, but we all got the point, nothing has changed about conditions because of changing words for conditions, just some people can feel a little better about themselves and we have a society that has Big problems accepting reality of things.
Yeah it's religious, you have to believe in infinity before real number theory is logical. But infinity is a metaphysical concept, not a numerical one. Induction does not apply deductive force until you restrict your attention to numbers, so modern real number theory is a religion. A house of cards. And the reason that theoretical physics has been stagnant for a century.
Cogency is not a substitute for arithmetical induction. A unit is the only infinite number. Divide by infinity and get a unit sphere but that's all unless you pick a scalar unit reference and multiply. Then infinity is irrelevant anyway. If you need an infinite process to find a rational expression you will fail. But every computation is rational. 🤷 It's metaphysics lmao
12:25 I once saw a report from a experiment exercise, where they got ONE single point on a plot, and somehow managed to "fit" some line to it claiming it was linear regression...
...and the line wasn't even passing through that single point.
I still can't really grasp what I saw that day.
The work of the next theoretical physicist mastermind.
How to lie with statistics...
lol
@@TranquilSeaOfMath it's not even lying with statistics. It's just lying
@@TranquilSeaOfMath how to lie about* statistics
17:20 Every base is written 10 in its own base. In binary, base two, the number two is written 10. The same goes for every base because, by definition, the base is the smallest two digit number (10) in that base
wait till i use hentrihexasnabisuboptimal
@@joda7697 still 10
@@NKY5223 well, yeah.
What about unary number system?
@@julianbruns7459 That's not a base that's a tally system
17:25 Every number system is base 10. For example, Binary is Base 10 in Binary, and Hexadecimal is Base 10 in Hexadecimal. That's why using Decimal to name numbering systems is a bit weird, since it already makes Decimal the presupposed numbering system
My mind just exploding
Unary has entered the chat
@@moorsyjam To be fair, unary can't even display floating point numbers
@@JonathanMandrake isn`t unary just the natural numbers?
@@tyrionlennister3410 Unary means 1 is I, 2 is II, 3 is III, 10 is IIIIIIIIII etc.
why succ(3) instead of just succ(succ(2))?...
succ(succ(succ(succ{})))
How about succ(succ(succ(1)))?
how about succ(succ(succ(succ(0))))?
how about {{},{{}},{{},{{}}},{{},{{}},{{},{{}}}}}
why not succ(succ(succ(succ(succ(-1)))))
a mathematician's word for "assumption" is "axiom" :)
physicists: _You and I are the same_
15:00 Relates to analytic number theory and the twin prime conjecture.
The first guy is Yitang Zhang who proved there are infinitely many pairs of prime numbers that differ by 70 million or less. If P(N) stands for the proposition that there is an infinitude of pairs of prime numbers (not necessarily consecutive primes) that differ by exactly N, then Zhang's result is equivalent to the statement that there exists at least one even integer k < 70,000,000 such that P(k) is true. Twin prime conjecture is equivalent to P(2).
The second guy is James Maynard, who employed a different technique, showed that P(k) holds for some k ≤ 600. Subsequently, in April 2014, the Polymath project 8 lowered the bound to k ≤ 246.
Am I in heaven or is is this for real? Anothah math meme reviewwww?!?!? Papa never disappoints. (I hope the intro is weird again)
Weylcum back to ma viidiyoo. Its so fire, goddayum the intro is good with that little string guitar-like instrument
What do you mean?
It is his first meme review ever.
Mathematicians be like: All of these memes where hilarious, except those that weren't.
The Virgin Imperative "Sigma and Pi Notation are just For Loops" versus The Chad Functional ``Summation and Product are just Folds of + and *"
Folds?
11:23 3blue1brown recently did a video on how all triangles are isosceles, probably referring to that thing lol
I got a brilliant ad during the brilliant sponsorship section
2:58 "You have to get started somewhere. " I like this, it is so much better than, 'because I said so.'
I agree :)
40° and a Math Meme Review with papa flammy, can it get any hotter ?
:^)
Yes.
41°
2:22 Should have told them that the natural numbers are the coequalizer category of the two constant endofunctors on the unique category with shape 0->1, that associativity follows from the fact that the natural numbers are the morphisms and addition is composition, and that morphism composition is the most associative operation you can ever get
Nooice. 😀
I know what a coequalizer is, but what is the coequalizer _category_ (of two morphisms in a fixed cat I presume)? It can't be the subcategory of all coequalizers bc that's just a complete undirected graph with loops due to the UP
Ah, I understand the possible confusion here. I meant it in the sense that the natural numbers are the codomain of the coequalizing *functor.* What you seem to be describing appears to be the category of cocones on the equalizer diagram, of which the aforementioned functor and codomain will be the initial object
@@denizgoksu9868 hey, while I appreciate your answer, the coequalizing functor is just a morphism in the endofunctor category of 0\to 1, but there are just two of its kind, not \omega many, so I don't get your point
Just to clarify, I'm also drunk, and might answer later
21:20 - 21:36 Yes, it does actually have a meaning. In order theory, if you write x, then the symbol, then y, it reads "x is comparable to y." This is important when you are dealing with partially ordered sets that do not satisfy the axiom of strong connectivity. For example, in the complex numbers, there is no total order compatible with all the arithmetic operations. As such, it is meaningless to say, for example, that i is less than 1, or that i is more than 1. We would say i is not comparable to 1. But if they were comparable somehow, you would use the symbol on screen. For things real numbers, the symbol is useless, but when you can have things that are not comparable, the symbol is important.
4:04 I wasnt expecting this segway lol
14:20 Closer to differential forms but close enough, I guess.
it just straight up Stokes' Theorem
@@comma_thingy Generalised
You sounded like an angel in the beginning. My ears have been blessed
0:12 Typical Jens
always a good day when papa fapmid uploads some high quality math memes
bro no one cares
WHO ARE YOU
3:00 I vaguely remember that you already did videos with that axiom stuff in 2018? If I remember it correctly then that isn’t really suitable for school students and only gonna make it worse lol, especially Sekundarstufe 1
Snakes on a Plane was a big hit.
What about Snakes on a Sphere or Snakes on a Torus?
15:20 not transcendental numbers - prime gaps
Really missed these meme reviews. Thanks for the comeback.
BTW I'm thinking to start studying differential geometry. What method should I go with: coordinate free approach or component approach?
The coordinate free approach is more elegant, and better connects to topology, while the component approach is more useful in practice, for example in general relativity, and it is also more intuitive if you have a very good knowledge of functions of several variables. If I were to start again, I would do both at the same time, but it depends on your situation.
@@jfr9964 thanks for reply. I'm trying to learn it specifically for physics, so component approach would ne nice, ig. Any good book suggestions for the same?
As my friends whos graduating in math said:
The greatest contributions of modern mathematicians is teacher others
And legits, it's not a joke. Nor is it degrading. We gotta keep that knowledge.
The virgin Shinji Suckisucki vs the CHAD Peter Scholze :D
edit: vs our boy Peter and some other dude idk
15:00 James maynard, at the bottom. I think for analytic number theory.
2:07
That's just the way it is
Some things will never change
-- Bruce Hornsby
7:10 its the area not the sidelenghts😜
Papa flammy can you bring back the slide followed by the good morning for us old subs?
I love it when PaPa performs Arnold Schoenberg in the intro of his videos
0:27 excelent musical performance
Finally! This is a good series xD, the reactions are good😅
19:22 Are you not going to talk about the plus in brackets
i see that gogoanime tab at the top
Wow I just so happened to be the 300th like! :D
well at least on my screen lol
:p
8:32 Dall E is really bad at drawing numbers and letters
Si papi, also, any books you recommend for topology? Thanks papi love you 😘
Papa Flammy didn't get "every base is base 10".... Yes, it is! "2" base 2 is 10. 16 in base 16 is 10. Generaly n written in base n is 10, so every base written in itself is base 10. Except unary, but it's that one child we don't let out of basement.
I need that fugacity t-shirt yesterday....
That opening reminded me of Mo from Land Before Time.
17:09
But every base IS base 10, if written in its own base.
13:21 no, not loops
One of them is a sum (literally multiplication, but more complex).
The other is a product, but its not multiplication
The result of multiplication is called a product
But uppercase pi focuses on powers.
What.
21:03
Hmm nice equation the last one
For gods sake it’s “how men look” or “what men look like.” Not “hOw MeN LoOk LiKe”
I'm trying to recognize the character on the pad but I cannot place from where or who
Hyakka Ryouran Samurai Girls
Math is like a game of chess.
There is a set of rules that you just accept (axioms), and everything else - gambits, starters etc. stems from these rules (theorems). The rules are sometimes edited if they cause a clear contradiction (irrational numbers), or are useful enough to be applied to something (negative numbers, imaginary numbers).
computer science enthusiasts when you claim that a symbol is in ascii (its unicode)
6:24 you dont need gwometry*
Doesnt mattwr what it is, if its geoemtry, it sucks.
If its drawing it sucks
Except for topology, thats better.
the best thumbnail award goes to:
The he's a 10 is a really good meme. That's a sort of new format that came from a stupid Tweet from EA Games, and people begun making sentences with "He's a 10, but..."
And the maths version makes it 10 times better
It's not Ascii, it's Unicode.
In case you didn´t notice, this guy is a grown-up
16:00 reality check
Every numeral system is BASED
If pewdiepie and george polya had a child be like...
Please consider breaking some of these memes down so us smooth brained non masochists can enjoy the lulz
YAY Another math meme review.
More Ukulele!!!!!
Let’s go
Let us go indeed
I, as a person who enjoys applied math far more, raise you a toast.
I see Jens watched some of Zach's comedy videos to learn the power of those flawless segways.
2:03 I don't want to get political, opinions nearly always have some bias in them, but the're people, who can't process idea that there can be actual facts, to which actual logic can actually be applied, you know what folk I'm talking about,- politicians, really religious people, advertising people, activists, people with psychosis, and they developed simple, stupid, way of ignoring facts saying "it's your opinion" or replacing words with softer versions, for example cripples are called today "disabled" even if they never were able to do thing they're "disabled in" for all their lives, idiots were called retired for some while, than it transformed into retards, and now the're called "mentally disadvantaged" people with shalshock today have "post traumatic stress disorder" old called "senõr citizens", i could continue, but we all got the point, nothing has changed about conditions because of changing words for conditions, just some people can feel a little better about themselves and we have a society that has Big problems accepting reality of things.
hi
hi
hi @???
I saw my lord kapakoulak on the thumbnail. clickbait :(
Noice 👍
You butchered that poor ukulele.
😬
20:48
Brrrr
1:05😳
11:23
😄
Clickbait clickbait clickbait
My FIRST EVER comment
:D
Guys, programmer here - why you hate when people say that summation symbol is just a for loop? It's just fact :)
1:47
1:49 Ugh, yet another YTer saying ableist slurs to be edgy.
No.
Hey corrin flakes, you're a *ableist slur* you know that?
Yeah it's religious, you have to believe in infinity before real number theory is logical. But infinity is a metaphysical concept, not a numerical one. Induction does not apply deductive force until you restrict your attention to numbers, so modern real number theory is a religion. A house of cards. And the reason that theoretical physics has been stagnant for a century.
?
Limit ordinals enter the chat
Cogency is not a substitute for arithmetical induction. A unit is the only infinite number. Divide by infinity and get a unit sphere but that's all unless you pick a scalar unit reference and multiply. Then infinity is irrelevant anyway. If you need an infinite process to find a rational expression you will fail. But every computation is rational. 🤷
It's metaphysics lmao
@haniamritdas4725 That has nothing to do with limit ordinals. Besides I was simply making a joke
@ccbgaming6994 i am just always thinking about this, no worries. If you don't want interaction, why comment at all