Neil Toronto
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 Sep24 awarded Autobiographer Jul2 awarded Curious Apr3 awarded Popular Question Mar15 comment Domain of a random variable - sample space or probability space? The OP is struggling with the fact that the formal definition doesn't seem to impart intrinsic properties to random variables (i.e. a probability distribution), but that philosophically, we regard them has having these intrinsic properties. The best way forward is not to insist that our philosophy is formal truth, but to demonstrate how our philosophy is only an interpretation of the facts. Mar15 comment Domain of a random variable - sample space or probability space? Convergence in distribution is a property that arises from the combined properties of a probability space and random variables, or if you like, the measure-theoretic model. Such properties are not intrinsic to the random variables, which are well-defined, deterministic functions with or without a probability measure defined on their domains. Mar15 answered Domain of a random variable - sample space or probability space? Oct23 awarded Commentator Oct23 comment Inverses of two argument functions with respect to one argument Asked at mathoverflow.net (mathoverflow.net/questions/145676/…) Oct21 awarded Yearling Oct21 comment Inverses of two argument functions with respect to one argument Should this get moved to mathoverflow.net? Oct21 revised Inverses of two argument functions with respect to one argument correction Oct19 asked Inverses of two argument functions with respect to one argument Aug8 accepted Preimages of Jordan-measurable sets Aug8 comment Preimages of Jordan-measurable sets Do you happen to have a reference for the "homeomorphism with Luzin N inverse" property? I might need to investigate this deeply. Aug7 asked Preimages of Jordan-measurable sets Jun3 asked When does the existence of an iterated limit imply the existence of a double limit? May21 awarded Nice Question May9 accepted What's the name of this function property? May8 comment What's the name of this function property? @Asaf: I'm totally down with Mr. Knaster and Mr. Tarski. But I'm after a more constructive fixed point - one that's built "from below" by transfinite recursion instead of "from above" by an intersection. Most of what I find on fixed-point theory uses continuity (supremum/join/union-preserving) to do it, but I don't think I have continuity. May8 comment What's the name of this function property? Thanks for the quick answer! I guess I'm expecting too much of English, because most hits for "increasing" take it to mean what you called "isotone". Also, I've just discovered that what you called "increasing" is also called "extensive," but most hits for "extensive" are talking about extensionality. Geez.