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Ahh, this is why gears come in such unintuitive shapes :D

So long as it is ℝ.

just some mental masturbation. I think first Gödel's theorem, and now recent advanced in ML would put a definite end to all this nonsense, categorising it all into something akin to philosophy - just because those are algebraic equations and not arbitrary philosophical statements, doesn't make them any more "valid" in any objective sense. If half derivative is 0.5, then can we use "i" instead of 0.5? Can we use matrix? Fells like imagination is our only limitation, if we come up with rules as we go along. Unless there's a physical system that can be predicted with those equations - they are simply "wrong" in the Occam's Rarsor sense.

If I'm not wrong, there is a formula for n-th derivative, which can be treated as a compression

That's the essence of maths to me. Intuitive understanding.

"We'll call this the gamma function" non-natural factorial: "Am I a joke to you?"

Who needs to spend thousands of dollars on therapy when you have this guy and his wheels? This genuenly sooths my brain and I love to learn things like this so yippy!

Peaple who watched this for fun. I want to know if I was the only one.

16:07 2^Aleph0

1:16 the sum from n = 0 to ∞ of 1/2^n

You good man? I noticed that little "I hate this channel" in the corner around the 1:55 mark. I hope you're alright

Cool, so "real gears" are floating point numbers, and "nonslipping rolling wheels" are integer numbers??? THAT IS SO COOL!!! Instead of a clock with continuous motion, I can have a clock with lag!!!!!!!! Bro.... Computers do that!!!!!!!! 5 5 5 timer bro!!!!!!! Yay😁

I have no clue what I'm listening to but it's super interesting

Thoroughly enjoyed this one ❤❤

15:35 D.I method: am I a joke to you?

now find out how to make a rack and pinion

As an engineer, most of the time it is just using square teeth or triangular teeth, giving the gears the right number of teeth to get the ratio we want, and adding lube. The wear on gears will basically do what your algorithm does, but to both of them. That and that paint brush thing.

Math X Engineering. My favorite ship

Those who like Taylor’s because they are Swifties | | V

I love the sponsored segment "people should learn to think critically, but that misinformation should be buried and filtered by politicians, after all, everyone knows politicians are non-biased and never make decisions based on their own personal misconceptions." If this guy cared about the truth and people learning to think critically he wouldn't then follow that up with "but we do need censorship." Honestly, I will never understand how people can have full faith and confidence in their own opinion while also fearing conflicting ideas out of fear that they will supplant their own when forced under comparison.

once you said 1/x was close but (0,infinity) doesnt count, i just thought adding 0.1 or 0.3. 1/(x-0.1) was an easy solution

the cardioid makes an onion. the ❤️ makes an 🧅. is this the mathematical connection between love and Shrek we've been looking for for the past 23 years?

Mechanical Engineer here: Your negative space to determine the shape has a problem in that the "peaks" and "troughs" of gears don't touch. Making them touch causes problems in their function. If I recall correctly the problem is the gears will bind. Gear contact is a more complex interaction then you seem to realize. Gears can drive in both direction, your clover gear can't drive the square gear without perfect friction. Gears work better with lower friction not higher friction, those are not gears. Without friction the clover will rotate the square so the close side is perpendicular to the line between the axels and then spin freely wit the square staying stationary. The contact point on gears jump, they don't trace out the shape of the gears in one continuous motion. In fact if your gears don't rotate both ways you only need about half of each tooth! Less the half of the perimeter would be a contact surface! I think you designed noncircular friction rollers. Which are not actually gears. Some people list them as a type of gear but they just are not; although they are a direct competitor for the same applications. Edit: you comment on the similarity to the wheel for a square is your "gear" is allowing some slippage to adjust for constant angular speed by allowing specific amount of slippage without actually supplying a mechanism to control the amount of slippage. In a gear the slippage is controlled by the geometry of the teeth, that is why teat have their peculiar shape.

"Tell me that's not cool" Me: That's not cool

conected because it exists and is connected just infinitly much

i would think that we could observe that if the wheel moved to the center then was moved a bit over it would there on the line and that would be a simple observation

isnt it just 3*sqare(2.5)x^2.5

My feet don’t have zero width unfortunately

Epic!!!! ❤❤❤

“ShIfT gEaRs” 🤓👆

That was amazingly put. Congrats, I really learned from it.

It's cosine not sine wave!

This should be a 3b1b SOME submission...

Math and engineering majors are on a whole different level dude. You lost me like 9 minutes in

My favorite function is $$f(x)=\begin{cases}x&x\in\mathbb Q\\x+1&x otin\mathbb Q\end{cases}$$ Changing to complex numbers does not help here.

i'll only save it for later lol i am only at 3rd year college for bsmath... i can't take this kind of math yet lol

26:20 You've created an anti-cam. I hate it. 😂👏👏👏👏👏

hi, can you tell me wich software?

I love the visuals But if you were to ask me about the math I’d go Uuummm… ummmm mmmmmm Idk

I'm sure this wouldn't actually be practical, but if all you need is constant rotation at the input and the output and not necessarily at every intermediate step, you could use wheels as gears, right? It seems like it should be possible to cancel out all the jerkiness so that the input and output rotate together smoothly, with only internal gears moving at non-constant rates.

great video but I will say it would have been nice to see the gear partners spinning like gears once the problem was solved, instead of rolling around each other. still great stuff though keep it up

I hate it when my gears slip but in the wrong way.

It's pronounced 'envolope'.

Hey, it's the Rubix Cube!

18:49 I've yalling "bezier curve" all the time lol

Isn't the rotation property of complex numbers more a result of multiplying any number pairs by coordinates on the unit circle, rather than the fact of one of the coordinates being imaginary?

when youre so fed up with scrolling thru tt that youre watching how a gear is made for any shape 😭 (its interesting tho)

What if R is not constant and is a tensioned spring instead?

The slippage is more perpendicular to the axel-line for the gears than expected considering the hook the video claims in the beginning, but also the gears in the example seem to break contact before they would drag against eachother by dezign Also, misinformation should be determined by the listener and not governed by a central body or even someone else, that’s how fascizm begins, hence The First Amendment

another rotation to get dialup