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Hey /sci/ does anyone know a way to find the vertex of an n-dimensional

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Hey /sci/ does anyone know a way to find the vertex of an n-dimensional paraboloid?

I think it exists but I cannot find it.

Thanks /sci/
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>>7663344
Help me sci you are my only hope.
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What is your argument for the existence of that vertex ?
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>>7663374
>I haven't taken calc III yet
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>>7663344
take derivative and set to 0
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Can you post an image of a 4D paraboloid's projection to 3D?
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>vertex
is that what kids call critical points/stationary points nowadays?
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>>7663445
Yes and I don't think you just set derivative to zero I remember there being some other way.
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>>7663431
I can't find one.
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>>7663535
You're talking about completing the square. Impossible to find a general solution for n>4, because this is equivalent to deriving a quadratic/cubic/etc. formula.
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Wait, under which form is the paraboloid given to you?
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>>7663660
I am looking for the general solution
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>>7663344
its [math]t^{r^{i^{v^{i^{a^{l}}}}}}[/math]
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>>7665270
oh for christ sakes
Thread replies: 14
Thread images: 2

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