this post was submitted on 29 Sep 2024
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Science Memes

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submitted 2 months ago by [email protected] to c/[email protected]
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[–] rain_worl 0 points 2 months ago (1 children)

uhh, can't there be two local maxima that aren't saddle points? for example, x^2^-x^4^?

[–] [email protected] 1 points 2 months ago (1 children)

I mean ... sure?

Just have a continuous graph that looks like two little hills, but far away there is an even bigger mountain.

You'd then have two saddle points somewhere between those two little hills and the big mountain, though they might not be as visually distinctive as the image here.

Don't think I said you cannot have local maxima that are not saddle points.

Hell, even the image of the graph shown could be some kind of small scale topographically phenomenon, and what look to be going off to infinity in this small scope might actually top off as local maxima.

The actual function isn't shown.

It could be very simple, or it could be an absurdly complex polynomial that just looks like the simpler version when you zoom in.

Something like a 3d version of this:

[–] rain_worl 0 points 2 months ago (1 children)

thought you implied the local maxima were AT the saddle points

[–] [email protected] 2 points 2 months ago (1 children)

No, I explained what a saddle point is and how a saddle point can be misidentified as a local or absolute maxima or minima if all you do is look for a point where the slope is 0.

... anyway, is this a glitch on my end or ... how do most of your comments have 0 upvotes... and also 0 downvotes?

... I thought lemmy automatically gives every post 1 upvote by default.

[–] rain_worl 1 points 2 months ago (1 children)

you can remove your upvote, unlike reddit, where your vote doesn't count, just no votes display as a score of 1

[–] [email protected] 2 points 2 months ago (1 children)

... And you do this, manually, to all or almost all of your posts?

Or is your user account from an instance where that is done automatically?

[–] rain_worl 0 points 2 months ago

i do it manually :)