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Feb
10
comment Singular Value Decomposition for Continuous Variables
Thanks for the answer, it's interesting. I have a professor in my dept who works with wavelets and should ask him about this construction.
Feb
10
comment Singular Value Decomposition for Continuous Variables
Thank you both for your comments! I will look into this idea, as it's a natural extension from the matrix definition.
Feb
7
comment If yesterday were tomorrow, then today would be Friday.
@user3440448 the answer is identical. If tomorrow were saturday, then today would be friday. In other words, today is sunday.
Feb
3
answered If yesterday were tomorrow, then today would be Friday.
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revised Singular Value Decomposition for Continuous Variables
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Aug
7
comment extremal points on a manifold intrinsiclly
@Scaramouche sure, that's fine. I just wanted to assume I can taylor expand around each point if I wanted to. I thought the analyticity implied the smoothness which gave the differentiability property.
Aug
7
comment extremal points on a manifold intrinsiclly
@TedShifrin I know what you mean. Let me try to express the notion I am aiming for another way, with a more empirical analogy. Please stay with me, i know this seems out of nowhere but it's the only way I can visualize the scenario. Take a passage from one side of the earth to the other through the center. If one were to drop through this passage, there is an attractive fixed point at the center of the earth. This appears to be a higher dimensional analogue of a ''valley'' from before. Is there a intrinsic geometric way to characterize these types of points?
Aug
7
comment extremal points on a manifold intrinsiclly
@TedShifrin I guess I mean generalizations of the ideas of saddle points'', and hills'' and ``valleys''... Does that make sense?
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asked extremal points on a manifold intrinsiclly
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revised Singular Value Decomposition for Continuous Variables
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