Mark Allen
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 Sep 24 awarded Autobiographer Sep 28 awarded Yearling Aug 12 awarded Popular Question Jul 6 accepted Have there been efforts to introduce non Greek or Latin alphabets into mathematics? Jul 6 awarded Scholar Jul 6 accepted Why is a function of $n$ independent variables equivalent to one defined on an open set? Jul 6 revised Why is a function of $n$ independent variables equivalent to one defined on an open set? added 2 characters in body Jul 6 comment Why is a function of $n$ independent variables equivalent to one defined on an open set? And to respond to your answer, if I understand correctly, this isn't necessarily the case in a closed set since if we take a boundary point, then there will be some direction in which we can't adjust $x$ such that it is still in $V$? Jul 6 awarded Editor Jul 6 comment Why is a function of $n$ independent variables equivalent to one defined on an open set? Yes, I meant $\mathbb{R}^n$! sorry, I should have looked over my post more carefully before submitting :( Jul 6 revised Why is a function of $n$ independent variables equivalent to one defined on an open set? typo: domain changed from $\mathbb{R}$ to $\mathbb{R}^n$ Jul 6 comment Why is a function of $n$ independent variables equivalent to one defined on an open set? From the responses, it seems I managed to garble something terribly between the blackboard and my notes. You politely ascribe the error to my lecturer, but I think that's unlikely :) So, in hope that something can be retrieved, he was referring to the 'independent' in the function definition, and saying that saying it's being a function of n independent variables was somehow equivalent to its being defined on an open set or something. If this again is insufficiently close to any meaningful sentence then I will admit defeat that my transcription was irretrievably inaccurate... Jul 5 asked Why is a function of $n$ independent variables equivalent to one defined on an open set? Jul 2 awarded Good Question Jul 1 comment Have there been efforts to introduce non Greek or Latin alphabets into mathematics? I think it's wonderful that you posted this, since prior to being a student of physics, I came from a computer background, and thinking about the lack of brevity in computer science notation while studying for exams led me directly to Iverson's article Notation as a Tool of Thought, which in turn led me to the J language (which I am still a fan and advocate of) and also probably indirectly pushed me towards my current field of study, via Math. And then, my thoughts on notation, specifically the Iverson/APL/J school of thought made me wonder what mathematicians thought about new notation. Jul 1 comment Have there been efforts to introduce non Greek or Latin alphabets into mathematics? I suppose for the purposes of the conversation Fraktur would count as a different alphabet...when mathematicians work on the blackboard how do they represent things which would normally use Fraktur? Unlike say blackboard bold symbols like $\mathbb{R}$ or $\mathbb{C}$ I'd imagine it's rather hard to make an obvious $\mathfrak{a}$ on the blackboard. Do they try make it 'spiky' or just use ordinary letters? Jul 1 awarded Supporter Jul 1 awarded Nice Question Jul 1 awarded Student Jul 1 asked Have there been efforts to introduce non Greek or Latin alphabets into mathematics?