Approximations. The engineering way.

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[Hempujonsito]

"for calculation purposes, let asume this cow is perfectly round"

[Nylspider]

"Approximations"
Oh cool
"The Engineering way"
_oh boi this is gonna be good_

[深夜-lf]

I'm an engineer
I see approximation
I click

[johnchessant]

Fun fact: The number of correct digits roughly *doubles* with each iteration of Newton's method. So for example you could compute 1 billion digits of sqrt(17) with about 30 iterations.

[rentristandelacruz]

I'm only at 0:16 and I'm already having numerical computing class flashbacks (took that class ten years ago). Netwon Raphson, Regula Falsi, Runge-Kutta. It's all coming back.

[kazuhoshiinoue]

Mathematicians: We need exact solutions!

Engineers: Nah, "close enough" is good enough.

[adityachk]

Math never fails to surprise me, I could not even think such a thing could exist

[RCSmiths]

"Why be right when you can approximate?"

[Cralcker]

We’re doing this in my calc class rn and I swear to god you explain it better than my professors

[PapaFlammy]

Nice Clock and Watch, where can I get one of deeze, Zach? :^D

[davidbeckham]

Please keep making these so I can make it through college.

[theoreticalphysics]

Ah, the fundamental theorem of engineering.

[iangolsby]

That square root approximation is elegantly simple. Each guess is just the average of the previous guess, and the number over that previous guess. As you approach the root, it becomes the average of the root and the number over the root (number over root is the root). So beautiful

[mastershooter]

dude I was just expecting to get some stuff like pi = 3 = 3 or g^2 = 10 or something like that, but I actually learned a lot!

[foxtrot]

Zach : It's possible to get stuck in an infinite loop.

Float error : IT'S MY TIME TO SHINE

[aenesturan]

first law of engineering: everything is linear

[kyrond]

I did a Bachelors thesis partly on this, when I finally got how it worked when I saw it, it was almost magical.

[benthayermath]

We ❤ approximations!
Honestly, sometimes wanting an exact solution is lazy. People don't realize how much math goes into designing numerical methods and proving their convergence and stability.

[jacktorborg]

I had to use the newton raphson method in my engineering career a few years ago to approximate a function (solving a Civil Engineering equation backwards with multiple square roots in weird places) that otherwise converges on a few nonreal/negative answers and one real, positive one I was looking for. I never thought I would actually apply it in my life when I learned it, but it felt so cool to have a real world application for it! Made me realize that weird, theoretical math part of my degree wasn't quite such a waste of time after all!

[billferner]

Interesting topic! This reminds me on programming in BASIC interpreter 40 years ago. At that time the value of PI was not implemented, the solution was : 4*arctan(1), which gave PI with the accuracy of devise's BASIC.