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location  Minneapolis  
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After doing nearly all the coursework for a Ph.D. in math, I then did all the coursework for a Ph.D. in statistics and completed that degree.
2d

comment 
Which classes of functions are “convolution ideals”?
I notice that functions having bounded support are not such an "ideal". 
Jul 27 
comment 
Is there a name for this quantity between two distributions?
You're using the word "sample" incorrectly. You should say $x_1,\ldots,x_n$ is a sample from $f$, not that $x_1,\ldots,x_n$ are samples from $f$. ${}\qquad{}$ 
Jul 17 
revised 
From Planar Graphs To Tangent Circles
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Jul 17 
comment 
Oriented volume and determinants: Circularity
I think I've seen some definition of a "frame" according to which that concept is more general that that of a basis. ${}\qquad{}$ 
Jul 17 
revised 
Oriented volume and determinants: Circularity
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Jul 17 
comment 
Oriented volume and determinants: Circularity
@PaulReynolds : Could you explain what a frame is? Or perhaps a real frame? And then make your comments into an answer? ${}\qquad{}$ 
Jul 17 
comment 
Which classes of functions are “convolution ideals”?
@PeterMichor : What do you mean by "fix the given function space under convolution"? Do you mean the space is closed under convolution? But how would a particular algebra "close" it under convolution if that's what is meant? ${}\qquad{}$ 
Jul 17 
revised 
Which classes of functions are “convolution ideals”?
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Jul 17 
revised 
How to compute this $\mathrm{Ext}^1$?
proper use of \cdots and \ldots 
Jul 17 
revised 
What are examples of good toy models in mathematics?
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Jul 17 
revised 
Which classes of functions are “convolution ideals”?
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Jul 16 
comment 
Which classes of functions are “convolution ideals”?
@YemonChoi : I had in mind $\mathbb R$ or $[0,\infty)$ or $\mathbb R^n$ or whichever generalizations might be interesting. ${}\qquad{}$ 
Jul 16 
revised 
Which classes of functions are “convolution ideals”?
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Jul 16 
comment 
Which classes of functions are “convolution ideals”?
The class of probability densities is closed under convolution, but is NOT an example of the sort above: If you convolve an arbitrary function with a probability density, you don't generally get a probability density. Nor do probability densities form an algebra. 
Jul 16 
comment 
Which classes of functions are “convolution ideals”?
@GerhardPaseman : But "closed under convolution" is not the same thing. I'm not talking about classes of functions for which if two functions belong to it, then so does their convolution. Rather this is about classes of functions for which if just one of the two belongs, then so does their convolution. Each of my examples is also an algebra, although I didn't mention that above. ${}\qquad{}$ 
Jul 16 
revised 
Isotropic subvarieties of $ V(x_1^2+\dots+x_n^2t_1^2\dotst_n^2) $
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Jul 16 
revised 
Isotropic subvarieties of $ V(x_1^2+\dots+x_n^2t_1^2\dotst_n^2) $
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Jul 16 
asked  Which classes of functions are “convolution ideals”? 
Jul 16 
revised 
Why is the Gamma function shifted from the factorial by 1?
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Jul 13 
comment 
When to postpone a proof?
When it's too long to fit in the margin. 