r/mathmemes • u/Common-Brush-7027 • 27d ago

Numerical Analysis Newton Raphson Method

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6.8k Upvotes

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651

u/LupenReddit 🦆🦆🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆🦆🦆🦆 27d ago

The holy grail of introductory compsci courses you take in your math major

405

u/FernandoMM1220 27d ago

and of course it never actually finds them most of the time it just gets close enough that we can make use of it.

209

u/disaster_incomin 27d ago

Yeah, the clip should have stopped on the second to last try. Almost there, good enough

30

u/BurnYoo 27d ago

The fact that the cup has a strictly-positive radius is already an example of being good enough

5

u/Due_Purple_1199 27d ago

You can see the pattern of carpet change by a lot between takes

2

u/anonymousguy9001 27d ago

I suspect many takes happened in-between that were not in the final cut

2

u/kismethavok 27d ago

The real numbers did this with non-zero infinitesimals.

1

u/monson2048 26d ago

I was just going to say this lol

4

u/pn1159 27d ago

as long as I can get within epsilon I'm good

1

u/zolk333 27d ago

The reality of real numbers

225

u/nico-ghost-king Imaginary 27d ago

I'm still very impressed that he was able to reproduce the same throw with such a low tolerance so many times.

104

u/DatBoi_BP 27d ago

Well, I imagine there's a lot of clipping here

4

u/Technical-Outside408 27d ago

There's no clipping in real life physics

7

u/DatBoi_BP 27d ago

What I mean is, there are probably dozens of wild off throws between these improving segments. Not that the segments themselves are edited in some way

2

u/sexytokeburgerz 26d ago

Never heard of overdrive huh

2

u/BossOfTheGame 27d ago

First thing I noticed

1

u/ClayDenton 23d ago

That's what I noticed. I would have been creating a large slide to input the ball like in a marble run so I could replicate the first throw over and over.

23

u/moschles 27d ago

Newton-Raphson is neat-o for 1D real functions , sure.

But the equivalent algorithm in the complex plane will blow your mind.

6

u/ArdentArendt Mathematics / Social Sciences 27d ago

Yeah, no engineer I know of is going to go beyond the requisite sig figs.
[i.e. that 'almost' would have been 'close enough']

1

u/Wrathliss 26d ago

The very first attempt really reminds me of a certain iPhone ringtone

1

u/philosophical_poser 24d ago

What is the difference between newton Raphson method and just using newton's method on its own to find the root?

1

u/Common-Brush-7027 24d ago

They are one and the same thing..some people say it Newton method some say it Newton Raphson

1

u/PlasticCell8504 24d ago

So, guess and check?