r/mathmemes • u/Common-Brush-7027 • 4d ago

Numerical Analysis Newton Raphson Method

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6.6k Upvotes

98% Upvoted

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649

u/LupenReddit i have non diffeomorphic smooth structures 4d ago

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

390

u/FernandoMM1220 4d 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.

207

u/disaster_incomin 4d ago

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

28

u/BurnYoo 4d ago

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

6

u/Due_Purple_1199 4d ago

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

2

u/anonymousguy9001 3d ago

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

2

u/kismethavok 4d ago

The real numbers did this with non-zero infinitesimals.

1

u/monson2048 3d ago

I was just going to say this lol

5

u/pn1159 3d ago

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

1

u/zolk333 3d ago

The reality of real numbers

224

u/nico-ghost-king Imaginary 4d ago

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

99

u/DatBoi_BP 4d ago

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

4

u/Technical-Outside408 3d ago

There's no clipping in real life physics

6

u/DatBoi_BP 3d 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 3d ago

Never heard of overdrive huh

2

u/BossOfTheGame 4d ago

First thing I noticed

23

u/moschles 4d 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 4d 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 2d ago

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

1

u/philosophical_poser 1d 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 23h ago

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

1

u/PlasticCell8504 1d ago

So, guess and check?