20,947 reputation
436109
bio website blog.plover.com
location Philadelphia, USA
age
visits member for 1 year, 3 months
seen 4 hours ago
stats profile views 2,429

I am Mark Dominus, an amateur.

I have a blog that often carries articles about mathematics.


3h
comment Guides/tutorials to learn abstract algebra?
answers on this site are supposed to be self-contained, but you haven't said what "this" is or why you think it will be a great help.
3h
comment What are some examples of subtle logical pitfalls?
Descartes was anticipated here by St. Anselm.
11h
awarded  Announcer
12h
revised Why must we distinguish between rational and irrational numbers?
edited body
17h
revised Manual proof that ${\left(\pi^\pi\right)}^{\pi^\pi}$ is a noninteger
edited body
17h
revised Manual proof that ${\left(\pi^\pi\right)}^{\pi^\pi}$ is a noninteger
added 464 characters in body
17h
comment Manual proof that ${\left(\pi^\pi\right)}^{\pi^\pi}$ is a noninteger
Yes, it's quite straightforward to calculate a sufficiently precise value to show that it is a noninteger, but unless you have a version of Wolfram Alpha that runs on a slide rule, that's not what the question is about.
17h
answered $(x+2)\cos\frac1{x+2} - x\cos\frac1x > 2$ for $x\in[1,\infty)$
17h
revised $(x+2)\cos\frac1{x+2} - x\cos\frac1x > 2$ for $x\in[1,\infty)$
added 3 characters in body
18h
comment quick integration notation question
Some context would be very helpful here. What is the rest of the expression?
18h
comment How many ways to colour a tetrahedron with monochromatic triangles.
I agree that it is highly abbreviated. I had to read carefully before I understood. Does it help if I explain that it's an application of the inclusion-exclusion formula, or should I provide more detail?
19h
comment Big Greeks and commutation
Even when the elements commute, the order might be important if the index set is infinite.
19h
revised Big Greeks and commutation
edited tags
19h
revised Integration using summation
deleted 8 characters in body
20h
revised Solving simple system of congruences
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21h
comment Prove that $f(f(x))=x$ has no roots … $f$ having a general form
I think the way you have it now is perfectly clear.
21h
comment Prove that $f(f(x))=x$ has no roots … $f$ having a general form
Why do you say must $f$ be strictly decreasing or strictly increasing? This is wrong, since $f' = 2ax+b$ which must cross the $x$-axis if $a\ne 0$.
1d
answered Quadratic Formula problem?
1d
comment A Question about Doctoral Theses in Mathematics
I have heard that Norbert Wiener's thesis did nothing but observe that ordered pairs can be construed as plain sets, and therefore that set theory is sufficient to define pairs.
1d
answered What is a “distinguished subset”?