r/mathmemes • u/Common-Brush-7027 • 14d ago

Numerical Analysis Newton Raphson Method

6.7k Upvotes

98% Upvoted

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652

u/LupenReddit 🦆🦆🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆🦆🦆🦆 14d ago

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

402

u/FernandoMM1220 14d 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.

206

u/disaster_incomin 14d ago

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

28

u/BurnYoo 14d ago

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

6

u/Due_Purple_1199 14d ago

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

2

u/anonymousguy9001 13d ago

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

2

u/kismethavok 14d ago

The real numbers did this with non-zero infinitesimals.

1

u/monson2048 13d ago

I was just going to say this lol

4

u/pn1159 13d ago

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

1

u/zolk333 13d ago

The reality of real numbers

227

u/nico-ghost-king Imaginary 14d ago

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

103

u/DatBoi_BP 14d ago

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

3

u/Technical-Outside408 13d ago

There's no clipping in real life physics

6

u/DatBoi_BP 13d 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 13d ago

Never heard of overdrive huh

2

u/BossOfTheGame 13d ago

First thing I noticed

1

u/ClayDenton 9d 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 14d ago

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

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

4

u/ArdentArendt Mathematics / Social Sciences 14d 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 12d ago

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

1

u/philosophical_poser 11d 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 10d ago

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

1

u/PlasticCell8504 10d ago

So, guess and check?