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Ah yes, the famous "Parkenburger square"

The way to algebraically solve it is to take the equation x³-i=0, then factor out x+i (since x = -i is a solution, but x isn't -i), and we get x²-xi-1=0. Quadratic formula is (i±√(i²+4))/2 = (i±√(3))/2. x=(i±√(3))/2

Damn, I'm a straight dude, but even I must concede the fact that Grant Sanderson is a QTPi.

I saw the decimal and instantly said sqrt(3)/2, LOL! (We math teachers are a weird bunch.) (NEXT maybe look at sqrt(5)-which is arguably at least as cool.)

I heard Joscha Bach talking, that infinity is a concept that don't really exist. Mathematicans use ist, to "describe numbers so high we can't count them". But infinity create mathematical paradoxes, so the axioms are flawed.

Nice Pearson logo t shirt!! 🥰

Go NASA.

The sentence didn’t need punctuation to be readable.

Why there are two integral signs on the house wall 🏠 ? 😮😮😮

Let the structure be as it is... Why can't you just put the extra block in the middle of the 4 blocks as the 2400 year celebration?

dose the formula count for X+1/2 block ? our X+1/8 to X+7/8 block boats can fall from water flowing who doesn't fill en entier block , and the game also have slabs, those are 0.5 block high (there are ather block in the game that aren't 16pixels or high "1m"

Can we play gta on this?

Or you can just put a stone on top of the 2x2 base...

An apple...

The man playing the “clarinet” was actually playing a soprano saxophone…

How is the average of the squares so much more accurate than the arithmetic mean? Sorry, I’m super amateur at math. I thought the average of squares would only adjust for negative values, but aren’t an and b already absolute values as the radii?

Even though they are worth the same . I would rather have infinite number of 20 $ bills than 1 $ bills It would be easier to pay with them .

Man, I flicked my display, thought it was broken due to the dimm.

The people who say infinite $20 is bigger that infinite $1 clearly watched two minutes of a CZcams video on said topic and clicked off to watch some shorts

What if Infinity isn't real? What if there's no such thing as infinity? What if everything, absolutely everything is finite and all this talk about infinity is nonsense, lies, workarounds and fantasy?

to be simpler in term, not all infinite are equal, for exemples pi is infinite 3,1415..... but decimal numbers (0,1-0,2-0,3 and so on) are also infinite which had pie inculeded in it, the comparison is like comparing real numbers (1,2,3,4,5...) with decimal numbers (0,1....),(0,2...),(0,3)....) . I am sure u can imagine that decimal number are in larger in quantity because just within 1 and 2 there are infinite decimal numbers already. but to answer the meme the infinite 20$ bill's had more value because both infinity is the same quantity. but anyway value or worth is given by human anyway, without scarcity and comparison to anything does those bills had any value to begin with.

20 dollar bills are worth more as they are more convenient. 1 $20 bill>20 $1 bills

And an unregulated access to the Federal Reserve means that every dollar we save gets reduced in value, forcing us to invest in the market.

I've always loved the regular compounds and their beautiful symmetry. When I built my first raytracer and figured out how to raytrace cylinders, the compound of 5 tetrahedra (which is my favorite) was one of the first things I made a render of. The regular compounds were the first things I printed when I first got my hands on a 3D printer. Great video as always!

Since it's not allowed to go outside the 4.5 MHz window, couldn't they just change the window slightly by moving it *_inwards_* instead?

Wait what was the answer to the meme?

I disagree; for any transaction involving a finite amount of money the infinite $20 bills will involve counting as little as a twentieth the amount of bills. This has added utilitarian value, so the $20 bill stack is worth more. Also, the kilogram of steel is *extremely* slightly heavier, as the center of mass of the steel is closer to the center of mass of the earth when compared to the feathers. I did the calculations a while ago so I can't completely remember, but the steel was heavier on the order of magnitude of either micro/nano Newtons.

4:08 Pentachoron.

"tunes of the clarinet" and just like that, every musician in the world has just gotten very, very angry

The trick behind this is simple: It's not that people want to do the math, it's because they want it to be true, either because that would just be good for them or that it would validate their political beliefs.

just go by the original but put and additional piece on top

nice to see Ayliean in here

Long time haven't been to this vid. It's just bertrand's paradox trying to figure out what is the probability distribution.

tumblr posts dont have names below the posts, but above. that doesnt seem to be popinloopys post but someone elses post with popinloopys reblogged addition

Just chuck another block on top of the 2x2 at the top and call it… it’s 121 but… Well, they could make it out of gold or something 😂

What's funny is since money is only valueable due to the finitism of resources. An infinite stack of both would not just be equal in value to each other. But also to nothing. Since the value of the dollar would be 0 if there was infinite of it.

Thats not a clarinet.

People are morons. They hear this idea that some infinities are bigger, but they dont realize thats not the case. To have something be bigger, you need it to actually have an end, which infinity by definition doesnt. In their mind, and infinite number of 2's isnt infinite, its just an unimaginably and ethemeral high number, which is bigger than the same number of 1's. Its really just a showcase of some people having issues comprehending things that are too large. In a way, they are just like a lesser version of a flatearther - something is too big for them, so they scale it down to a point where it makes sense. Also notice how every comment is so proud and bursting to say "some infinities are bigger than others"...Thats the epitome of knowing something without understanding something

Vote blue no matter who lololol

i think the biggest mistake with this installation is with making solid concrete blocks instead of concrete boxes containing time capsules. can hardly believe they passed up that opportunity

They’re both infinite, just that one stacks up quicker

Infinity isn't a value; it is literally the definition of something being valueless. So saying they would be worth the same is a contradiction since it's putting a definition on the definitionless.

I have regressly proven that for 2 numbers the only ones that follow log(a+b) = log(a) + log(b) such that they are both natural are 2,2. Were can I post this proof? 3:41

I watched this while eating rice krispies

That wasn't a clarinet. It was an alto saxophone

Why does Tom Segura have a British accent

An infinite number of $1 bills and an infinite number of $20 bills would be worth the same because with the amount of bills printed hyperinflation would kick in, making them both worthless.

I know this is an old video but this answered a question I had from a maths class, that if you took all the numbers between 1-2 and all the numbers between 2-3, which would have the larger value.

21:45 why is this called gradient? Its basically all shades of gray?

An infinite number of 20 dollars bills obviously has more value. Imagine you have can “spawn” as many as you like at any given time. Then i would have to spawn 20 1 dollars bills and that takes up way more space than one 20 dollar bill.