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1d
comment What do we call collections of subsets of a monoid that satisfy these axioms?
@jgon, thanks. It seems the phrase "convolution ring" might be relevant.
1d
revised G is finite group. Need to proof that exists natural k that $g^k = e$
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1d
revised Which axioms of ZFC are required to prove the existence of $\aleph _ 0$?
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1d
comment Which axioms of ZFC are required to prove the existence of $\aleph _ 0$?
Woah that much? I wonder what's wrong with my proof?
1d
comment Which axioms of ZFC are required to prove the existence of $\aleph _ 0$?
@DanChristensen, okay, here's a better way of doing it.
1d
revised Which axioms of ZFC are required to prove the existence of $\aleph _ 0$?
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1d
comment Which axioms of ZFC are required to prove the existence of $\aleph _ 0$?
@DanChristensen, $\mathcal{I} = \{A \in \mathcal{P}(X) \mid A \mbox{ inductive}\}.$
1d
answered Which axioms of ZFC are required to prove the existence of $\aleph _ 0$?
1d
asked What do we call collections of subsets of a monoid that satisfy these axioms?
1d
comment How are asymptotes actually defined in rigorous mathematics?
Thanks, I'll check it out.
1d
asked “Asymptotic” $\mathbb{R}$-algebras
2d
comment How are asymptotes actually defined in rigorous mathematics?
Obviously, this is more sensible and better behaved than either of the two definitions that I give. However, I'm looking for accepted definitions here, not innovative or clever guesses at what the definition should be based on a few minutes or hours of thought. I'm not saying that I want this deleted (I most certainly don't), but I am saying that this doesn't answer the question.
2d
asked What do we call the number that measures how good of an asymptote $g$ is to $f$, and what are the basic results about this number?
2d
comment Any two $A$-modules of the same dimension over $k$ isomorphic as $A$-modules?
Why so many votes to close?
Aug
26
asked What do we call the result of wedging together the columns of a matrix?
Aug
26
comment Are there general conditions under which minimal generating sets can be expected to exist?
Woah Steinitz rings are pretty cool. What are some actual examples of these things though, apart from fields? From (5), I take it that every non-unit is nilpotent, so, according to here $R$ should have a unique prime ideal whenever $R$ is a Steinitz ring.
Aug
26
comment What theorems or frameworks explain why the roots of well-behaved functions $h : \mathbb{R} \leftarrow \mathbb{R}^2$ seem to be made up of “pieces”?
@NickAlger, not really. That's just saying that there aren't many critical values. My interest is in the fact that even when there are critical values, nonetheless some kind of global decomposition obviously continues to exist in many cases.
Aug
25
comment How are asymptotes actually defined in rigorous mathematics?
@snulty, yeah, it's the same thing. The dissatisfaction is mainly in the phrase: "Two directed lines are said to be equal iff they intersect at more than one point." These kinds of definitions make mathematics more painful than it needs to be.
Aug
25
comment How are asymptotes actually defined in rigorous mathematics?
@snulty, thanks, fixed. For the record, I'm profoundly dissatisfied with my directed line definition (even the fixed one!). Its just something quick and dirty I threw together for the question. Presumably, there a better, sleeker definitions of "directed line" available.
Aug
25
revised How are asymptotes actually defined in rigorous mathematics?
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