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Apr
9
comment Iterated Limits Along an Ultrafilter
Thank you for this!
Apr
9
accepted Iterated Limits Along an Ultrafilter
Apr
9
comment Iterated Limits Along an Ultrafilter
Note that my question was not whether this holds in general. I'm asking about sufficient and/or necessary conditions for these limits to agree.
Apr
9
comment Iterated Limits Along an Ultrafilter
Without being rigorous, I was able to vaguely come up with an example of sequences where this does not hold. But I did not work it out fully. I can do so over the next hour and report back!
Apr
9
asked Iterated Limits Along an Ultrafilter
Apr
9
revised How to prove that the spectral radius of a linear operator is the infimum over all subordinate norms of the corresponding norm of the operator.
deleted 2 characters in body
Mar
13
revised What is the best approach when things seem hopeless?
deleted 19 characters in body
Mar
11
revised Interpreting the lingo of a definition
fixed my statement which was missing a word
Mar
11
comment Interpreting the lingo of a definition
I tried hosting the picture with a link instead. I hope it works now.
Mar
11
revised Interpreting the lingo of a definition
deleted 204 characters in body
Mar
11
comment simplifying an expression which concludes $e^x$
Depends on your accent? :)
Mar
11
revised simplifying an expression which concludes $e^x$
fixed order of operations
Mar
11
comment simplifying an expression which concludes $e^x$
I added some brackets around the $-e^{x}$ appearances. Not using those brackets is a bad idea as it changes the meaning and is likely to get confused with subtraction rather than multiplication by a negative.
Mar
11
revised simplifying an expression which concludes $e^x$
fixed order of operations
Mar
11
comment Interpreting the lingo of a definition
Thanks for letting me know. I couldn't tell because it works for me. I'll see if I can figure out what's wrong. I guess that's why I've got no answer yet. :)
Mar
11
asked Interpreting the lingo of a definition
Mar
8
comment Is the Algebraic Closure of a Finite Field Algebraically Closed?
The definition I had while asking this question (3 years ago), was different than the one most people use. The book I was using supplied a more direct concreted definition using roots of polynomials, but then proceeded to work with the abstract one instead. I found this confusing, because although I could clearly see that $\overline{F}$ ought to be algebraically closed, it was not yet established.
Mar
6
awarded  Popular Question
Feb
27
answered Evaluate and simplify an expression with $f(x)=\sqrt{1+x}$ and $g(x)=\sqrt{1-x}$
Feb
26
comment Questions about Listening To Presented Material
That is some elegant penmanship.