What's the story with log(1 + 2 + 3)?
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- Опубліковано 13 чер 2019
- This is my deep dive into the log(1 + 2 + 3) = log(1) + log(2) + log(3) log troll meme. I'm not going to link to any of the online discussions incase I accidentally encourage brigading. If you want to join in constructively, you can google them.
Huge thanks to Jane Street for becoming my channel's principle sponsor. If you're curious, this is what they do:
www.janestreet.com/what-we-do/
Ask them for a job here:
www.janestreet.com/join-jane-...
We make Think Maths teaching resources to go with Stand-up Maths videos. For this one we have a worksheet of questions you can give your students before they watch the video. Plus I provide my excel file for the plot of the max values.
think-maths.co.uk/standupmath...
CORRECTIONS
- I mis-spoke and said "two" instead of "four" and "one" instead of "zero" but tried to fix both with titles in the edit. Sorry I did not have time to re-film it!
- Yes, my camera autofocus is annoying. I swear it has broken somehow; I thought I'd set it up right this time. I think Jane Street might have to get me a new camera.
- Let me know if you spot anything else!
Thanks to my Patreon supporters who help make these videos possible. Here is a random subset:
Michael Lehenbauer
Richard Dickins
Barry Salter
Maksym Borodin
James Williams
Sarah Gerweck
Support my channel and I can make more maths videos:
/ standupmaths
Music by Howard Carter
Filming and editing by Matt Parker
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Maths book: wwwh.umble-pi.com
Nerdy maths toys: mathsgear.co.uk/ - Розваги
Jane Street sponsor Matt Parker because "they just like maths and they use maths to solve complex problems in the financial world."
Matt: "half of two is two".
Didn't say he was good at maths... just that he liked it.
Don't edit your comment or it will get unpinned. I'm still sad it happened to me once when Matt had pinned mine :'(
2 divided by 2 = 2.
The Parker Square TM (R).
1=2.
Well that explains why there are open vacancies right now, doesn't it :P
It's OK. Jane Street is only a "principle" sponsor.
Taking both verbal slip-ups together: "half of two is two" and "adding one makes no difference", the implication is that 2/2 + 1 = 2 which is... correct! Matt is a genius even in his errors 😅
Guess two wrongs sometimes DO make a right. xD
I think we just have had a peak into the mind of Matt Parker, where it all makes sense.
@@irrelevant_noob LOL!
@@irrelevant_noob indeed they do, but they also make an infinite number of wrongs!
The errors cancelled eachother out
"Half of two is... two!"
Good job Matt, you've made the comment section of this video more of a troll than the topic of the video.
o sal cf boss
Half of 2 is 2
Now if that isn't the person that's the inspiration for the Parker's square
It’s how he gets more Parker engagement with all the comments about it and people sharing the video for laughs.
Gotta give him credit for turning a mistake into an advantage
The patron saint of giving it a go.
as if it didnt say "FOUR!" in capital letters
Half of 2² is 2, because Parker is squared.
5:28: Half of two is two! Parker division?
It said *FOUR!* in the top right corner.
@@firefish111 He said TWO in the video tho. That's all that matters 😁
So the correct version would be "half of two is four".
That's true, for a very large value of two
@@GatoRudyard Or very small values of 4
5:56 woah wait a minute here! Standupmaths is actually SITTING DOWN?
My whole life is a lie.
Yes. Indeed.
But there is maths, you got half of what you got promised.
@@sevret313 And since the half of those two is still two, it is perfectly fine.
It's a Parker stand up.
If your feet touch the ground, you are basically standing.
I thought he was just very short, but he's been sitting down this whole time
Speaking of golden ratio logtrolls:
log (φ + φ²) = log(φ) + log(φ²)
That's much cooler than log(1+2+3)=log(1)+log(2)+log(3)!
That's what I call a Parker Trolling!
to think matt didn't pin this
Matt please pin
Huh!? Sweet
log (φ + φ²) = log(φ) + log(φ²)
log (φ(1 + φ)) = log(φ) + log(φ²)
log (φ)+log(1 + φ) = log(φ) + log(φ²)
log(1 + φ) = log(φ²)
1 + φ = φ²
φ²-φ-1=0
And you can use the ABC formula to show that this quadratic equation is indeed 1.618
6:47 He said "one", but he meant zero, but he put "zero!" on the screen, which is just one.
For anyone who doesn't get the joke:
0!=1
Two is one and one is none.
@MATTHEW GOH CHIN LIN (Student) Should be 3142. Get your rounding right.
@@Leyrann But then we cannot continue to 31415 and so on
lmao
Me: Emojis
Matt, an intellectual: Emotional indicators
@Windy "I give log(1) fucks" stealing this, thanks :D
@@eric.is.online I'm going to be 'eco' and give a "natural log of 1" from now on.
There may be times where the stakes are so high that I'll give a "log to base x of the additive identity (for arbitrary x, damnit!)"
This feels so much like the right thing to say in some situations that I genuinely worry about the effect this channel is having on me.
You mean multiplicative identity. Much like you can't divide by zero, you can't take the logarithm of the additive identity. @@Varksterable
@@0LoneTech "It was late and I was tired." You are quite right, sir.
(Or was that a log troll?)
(No. It was just late and I was tired.(
Me: Emoji, NO S!!!!!!!1!
"Half of 2 is 2"
"Log of 1 is 1"
Yep, that's parker maths for you!
Equivalently, log of 1 is 0!
engineers would still say good enough when they use great approximations like
pi = 3
e = pi
cos(x)=1
sin(x)=0
@@MichaelRothwell1 Or log(0!) is 0.
@@Anonymous-df8it 0 factorial
@@thuyquanlinh no
He sounded so confident he almost made me believe half of two is two
1950s: I bet in the future we will have flying cars
2019: half of two is two
Also the best sponsor add ever "They don't want you to do anything...They just like maths" XD I also approve
You know you've found the right part of youtube when the sponsors start trying to hire you.
"Unless, I guess, you're a mathematician looking for a job."
Best sponsorship message I have ever seen.
I guess a non-zero amount of Matt's subscriber fall in that category, though. Haha
I would guess this would apply if you're a company looking for an optimized solution too.
2:57 "log(101 + 1.01) - lol" joke got way too little recognition 😄
Oh my god!!!!!!!!!
why lol
@@nilen 'cause it's funny lol.
(But if that was a genuine question: In retrospect, I've written the comment in a confusing way, but what I meant was to point out the fact that Matt had found the thing with log(101 + 1.01) and he described it by saying: "This holds! What a... lol" and "lol" looks kinda similar to "101" :D)
@@laurihei actually helped, thanks. I am assuming americans think more often about o and l as being similar to 0 and 1, or maybe i am just stupied...
@@justaguy1182 It originates from "13375P34K" (Leetspeak.)
"A top shelf math meme should use... the golden ratio."
I thought he was going to say 69420
sin(e^pi)=3^3
**sigh** Only a mathematician could possibly think that the golden ratio version is more punchy than the original... Sir, please put down that meme and step away, now...
@@1224chrisng Took me a while to get it. That is some A class level trolling.
log(φ-1)+log(φ) = log(e^(i*2π))
I would have loved to see Matt's reaction to when he edited and realized he said "half of 2 is 2"
Same. I would pay to have seen that moment. Or to see him re-enact it.
I appreciate a short "these people gave me money, ignore them" statement
IKR. That was at once refreshing, odd, and intriguing.
Thank you Jane Street for sponsoring Matt!
I'll certainly do the decent thing and find out who/what you are. An effect that no UA-cam advertising has yet had on me, ever. Respect.
@@Varksterable it's a clever way of them talent hunting for recruiting more staff
@@julian5956If so, it's so obscure it just might work and I wish them luck with it.
But 'clever?'
If I wasn't already working I'd maybe chuck them a CV on the basis of this (compleyely hidden) recruitment advert alone.
Completely ignoring that (like significantly many other viewers here, I suspect) my maths qualifications are now many years old and mosly forgotten.
That I've got my own interests and needs outside doing maths stuff for a living.
That I'm geographically tied.
That I have numerous agency contacts to find me employment.
I admire your cynicism. But if this genuinely is a recruitment drive, then they need to spend much more of their apparent intellect on finding a reasonable way of targeting potential recruits. ;)
Matt confirmed: half of two is two.
We're going to need a new shirt, Brady.
5:30 Love the little head-shake and "uh" as Matt realizes the phrase "half of two is TWO!" just came out of his mouth.
It's funny but also impressive how Matt kept his composure after saying that. I know I would've corrected myself or at least cracked a smile!
Y'all just don't understand Parker theory. If you read his work, you'd understand why half of 2 is 2. It's basic Parker arithmetic.
Does it involve the Parker Square
@@k_tess The Parker square is a geometric construction that may be constructed within Parker Geometry. The Brady-Parker Square is a recreational part of Parker Theory where numbers in a grid add up to a near miss in normal arithmetic, but work perfectly in Parker Theory.
Pi is equal to 3 in Parker space (There’s a separate number line for Parker operations)
1 minute in he explained it and he decided to make 9 more minutes. This is why we love Matt.
You've seen the log troll. Now get ready for the exponential troll: e^(1*2*3) = e^1 * e^2 * e^3.
lol
That actually fkn works
Xdxdxd
The takeaway, clearly, is that half of 2 is 2
Well, half of 2 *is* 2 if your defined tolerance is +1
No, there was a correction text in the corner. What he meant is that half of 4 is 4.
So 2+2=2
@@asdfghyter
Actually he meant that half of 4! is 2, so half of 24 is 2
...which ironically is technically correct
Matt (points to zero factorial): One.
me: That's correct.
It is
I didn't think anything of it.
96 likes. eciN
Does "half of 2 is 2" imply the Banach-Tarski-Parker paradox?
well basically yes
Lol!
You actually made me laugh so hard at the end of your sponsor section. Thanks Matt!
"half of two is two"
Classic Parker Square
The memes of Matt are so subtle, yet so well executed
Nothing about that gold3n ratio meme is subtle
"Half of two is two!"
- Matt Parker, 2019
That was THE most effective sponsor spot I've ever watched. I clicked the link to see what they were and everything. Well played, sir.
I like the final joke:
Unless, I guess, you're a mathematician looking for a job.
Getting a no-obligation sponsor is brilliant. Go Matt!
Before watching the video, expectation:
log(√3 + √3 + √3) = log(√3) + log(√3) + log(√3)
Generalised: a = n^( 1/(n-1) ); log( na ) = n log(a)
Clever
I'm glad UA-cam recommended this video again the other day, as I needed the log(a*b) = log(a) + log(b) identity in an exam today.
I love how this UA-cam channel keeps me up to date on all the latest internet math meme news.
I love how you explain a troll equation to then further expand on it
A perfect number with exactly 4 factors will work. But as 6 is the only perfect number with exactly 4 factors, no other perfect numbers will work. so they are out.
As far as we know. Because iirc we are't really sure if we've found all perfect numbers just yet. :-B
It's trivially easy to prove that there are no perfect numbers with exactly 4 factors though, even if we haven't found all perfect number yet.
@@achan1058 it exists. You can get it by solving This equation: x=4+2
@@achan1058 What's the proof?
its amazing how i always come back to this channel even though i dont really care for math. the videos are just that good
That "THE POWER OF THE GOLDEN RATIO" meme genuinely made me laugh. Thank you
2÷2 =2 Parker Maths
So you can make a 2x2 square filled with 2s so that the sum and product of every column, row and diagonal equals 2.
Isn't Mattematics amazing?
"Emotional indicators." 🤣🤣🤣
Integer solutions are easy to find.
Choose a, b and c such that a*b=c and a+b
I’m a TA and I’ve seen undergraduates struggle with log properties, this would really mess them up lol
Awww... I wanted to make a clever comment about adding log(1)'s, but you covered it. You're too smart :(
Is log(3) a fraction of tree(3)?
Where does that leave branch(3)?
how many nested logs do you need to get tree(3) down below a certain limit?
You only need one log to defeat any tree(n) and that is log(1) just take log(1) and whack it on the tree and you'll see that your left with just the log(1) + Log(1)
don't forget about root(3)
the derivative of log(tree) = 1/tree. Apologies for my accent.
6:44 0! is indeed 1, thanks for pointing that out
Jane Street. What, no Brilliant? No Dashlane? No WhateverVPN?
Wow I am really early this time, youtube once did its job of notifying me at the proper time! :o Happy to watch a new video of you :)
same.
Ever since the original meme, you have never been allowed to make a mistake. It's funny but sad.
It's Parker-funny!
Fucks sake.
That is the best goddamn advertisement I've ever seen, let alone one for a channel sponsor.
The way you ended that video -- "unless, you know... you're a mathematician... looking for a JOB !". Felt like that scene when Bellatrix chucks the knife at Dobby at the last possible second.
Well, this was exceptional and hilarious.
I need the meme at the end of the video for ... reasons. Math reasons. Yes.
this is the channel i come to for all my meme-ing needs
But you could generalize with the trig ID: tan(a) + tan(b) + tan(c) = tan(a) • tan(b) • tan(c), where a+b+c = 2 Pi rad
tan(a/2)tan(b/2)+tan(b/2)tan(c/2)+tan(c/2)tan(a/2)=1 also works with the same condition
Neat, new to me. But I see it comes straight from the addition formula for tan.
[5.06]
Love it, 101 = maths LOL
You, sir, left me ROF101ing.
"HaLf Of TwO iS tWo"-Matt Parker 2019
Jane Street, now that is a sponsor I respect.
Everytime he interacts with the graphics on screen, my eyes widen with joy!
Now that's a log of damage.
6:46 calls identity of addtion 1 and proceeds to write 1 in post production too.
Epic spicy math memes my dude!
Hey Matt! Saw you in Cheltenham the last week. Good show!
2:52 classic Parker Square
Half of 2 is 2
I have no clue what Jane Street is or does before this video, but they definitely got my attention and respect!
This is your best video to date!
I studied further maths and that thumbnail made me cringe... then pause... then realise it was technically correct.
Then cry
Same here! The thumbnail made me literally face palm, and then I decided to check it, and realized it was correct then decided to watch the video. I didn't initially put together that the log (1 + 2 + 3) = log (1 x 2 x 3) and felt a little silly for not making that connection.
Matt: Half of 2 is 2!
Thanos: Am I a joke to you?
Half of 2! is 2
@@theot1692 Which still says that 2 is half of 2!
Greatest sponsor plug ever.
the one channel where i didnt expect air-horns, thats even bigger than a log troll
Matt Parker - June 14 2019: 2/2 = 2
8:57 You forgot to put an eye in the triangle
@The BTTF Channel oh noes!!!! The tragedy ;_;
I like how adding the golden ratio spiral overlay on the meme showed how useful golden ratio spirals are when placing things in a design context, lol
That must be the best sponsor I have ever seen
"Half of two is two!"
- Matt, 2019.
He really should have cancelled out that audio when he was editing!
And that would make it a parker square of a video... I see.
At some point, you'll publish a video that is you having text on screen about maths, while you're actually just talking about kittens :)
Leo Wattenberg And even the captions show that he is talking about math.
My slide rule had an existential crisis for the first 40 seconds of the video.
Congrats on finding the perfect sponsor. Reminds me of how mathematicians of older times were often just adopted as pets by people of wealth.
Never knew capital Pi meant the multiplicative sum. Good stuff! One step towards deciphering high level maths without a degree!
Nobody:
Matt Parker: "Now we're memeing"
This is some insane video compression Matt! Did you apply some kind of bad filter? Did you export in a super low bitrate?
Congratulations on the new sponsor 👏
it's always promising when Matt says "i think we can"
I tried log(-1*-2*-3) and it's not equal to log(-1)+log(-2)+log(-3)... but that might be my imagination
You should probably stop taking logs of negative numbers, unless you plan to put an imaginary component on the other side as well.
@@jlco It sums up if I keep it real [insert bad pun dog meme here]
xy = x + y implies y = x/(x - 1).
Thus, x and y are positive integers iff x = y = 2.
congrats on the super cool sponsor. 👍👍
What about log(4-2) = log(4) - log(2)
3:30 And by Yeet Theorem, log(2+2)=2log(2).
log(ab-a-b + a + b) = log(a) + log(b)
We can write ab-a-b as a finite sum of 1s if it is positive, so we can generalize the identity for any 2 integers a and b such that without loss of generality a > 2, b > 1.
Well, log(4+3+1+1+1+1+1)
You can do loads of whole number solutions if you don't mind filling it with 1s
Edit: Never mind, you addressed this in the video.
5:27 *'Half of two is two'*
A math youtuber with almost half a million subscribers
You, a jealous person who has never misspoke before nor can notice that it shows 4! in the top right corner. Good job. Golf Clap. you are probably one of those people with hair jealous of people like patrick steward and matt parker's sleek scalps of the more evolved of our species.
@@zakuraayame5091 r/woosh
log(1 + 2 + 3) = log(1) + log(2) + log(3)
That's like 1+2+3=1×2×3, isn't it?
Yep!
I checked out the Jane Street website provided in the video's description... I've got to say, it looked pretty cool. I like the premise and the openness of their vision. If I had money to invest, I'd likely use them (seeing as how I'm broke, I'll just have to like the "idea" of investing).
The horn really tipped it over the rim. *thumbs up*
You seemed a little jetlagged in this one :-\ That said, it has the funniest sponsorship segment I've ever seen.
Commutativity Troll:
Addition is commutative because: 2 + 4 = 4 + 2
Multiplication is commutative because 2 * 4 = 4 * 2
Exponentiation is *not* commutative because 2^4 ≠ 4^2
Or... wait... hold on... what's going on here?
best episode of thatistheplan so far!
The use of the mlg horn is on point