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 Sep24 awarded Autobiographer Jul2 awarded Curious Feb17 awarded Popular Question Jan26 comment What is the meaning of $(x^2+y^2)^n$? Is this an already known geometric object? Thanks. But i am asking only about the LHS. I have edited the question to make it more clear Jan25 revised What is the meaning of $(x^2+y^2)^n$? Is this an already known geometric object? edited title Jan25 comment What is the meaning of $(x^2+y^2)^n$? Is this an already known geometric object? @ JJacquelin, yes. there is no = in it. i do not want to compare but understand generalization to higher dimensions. Jan25 asked What is the meaning of $(x^2+y^2)^n$? Is this an already known geometric object? Jan15 awarded Tumbleweed Jan7 comment On notation for derivative of an n-Dimensional Gaussian +1 for the nice answer. Thank you so much Jan7 accepted On notation for derivative of an n-Dimensional Gaussian Jan7 asked On notation for derivative of an n-Dimensional Gaussian Aug5 comment How to define a surface $z = f(x,y)$ with flat region at centre and sigmoidally tapering towards the edges? So, we have a piecewise defined function covering the 2D plane (well, actually a rectangle since limits are imposed for x and y). What you mean is we can define the above piecewise defined function as a single analytical equation involving sums, if we use the step function. Right? But can you please show an example?(sorry for the amateurish request, i lack the rigor to make this formal) Aug1 comment How to define a surface $z = f(x,y)$ with flat region at centre and sigmoidally tapering towards the edges? I get the idea. I am curious however if we can define this as a single analytical continuos function over the plane(within the limits)? Jul26 comment How to define a surface $z = f(x,y)$ with flat region at centre and sigmoidally tapering towards the edges? Thanks for your answer. But the logistic function might satisfy my requirements for the tapering part. Jul25 asked How to define a surface $z = f(x,y)$ with flat region at centre and sigmoidally tapering towards the edges? Apr26 comment Bilinearity: what does it mean? + for the link to currying Mar8 revised Is it possible to find a 2D distribution function such that the higher order moments always exist? added 19 characters in body Mar8 comment Is it possible to find a 2D distribution function such that the higher order moments always exist? Yes. Sorry. So i should have phrased it 'moments of any order, but non-zero. I ve edited the question. Mar8 comment Is it possible to find a 2D distribution function such that the higher order moments always exist? thanks for your answer. But every distribution whose support is bounded has moments of every order might not be true. As an example, consider a distribution which is symmetric. In this case, some of the 3rd order moments become zero. Is it not? Feb12 comment Is it possible to find a 2D distribution function such that the higher order moments always exist? And can we ensure those moments are always non-zero even if the support is possitive i.e., for the supports [a,b] and [c,d]?