Indeed, the social aspect is very important. When I transitioned to vegetarianism, it was quite difficult for my family (parents, brother) to adjust to it, and oftentimes, I felt I burdened them unnecessarily with my new dietary habit. And, it is ev…
Joseph - I have the same set of interests as you on "other topics", except coffee, which I avoid. I have been a vegetarian for close to a year and a half now, for ethical reasons mainly. I've been trying to transition to veganism, but it is much har…
Thanks, John! I did figure out after a few tries that braces indeed do not work in the "LaTeX-way" on this site, at least when commenting :) And, I did figure out the hack you provided. Thanks, again.
Okay, I will do the easy one!
There are exactly two partitions of a two-element set {\(\bullet,\ast\)}, viz. {{\(\bullet\)}, {\(\ast\)}}, and {{\(\bullet,\ast\)}}. The first partition is finer than the second, from which we can draw the correspond…
Here is my solution.
As William Godwin mentioned, the identity function \(x \mapsto x\) is order-, metric-, and addition-preserving.
\(x \mapsto x+1\) is order-preserving, but \(x \mapsto x^2\) is not.
\(x \mapsto x-1\) is metric-preserving, but …
My family is in the middle of moving to our new house, and so, that leaves me with very little time to participate in the discussions, right now. In about a week, I will be participating much more frequently and vigorously!
I think the pace of the …
Hi Bob, great to see you here!
Your unfinished book on Standard ML was very instrumental in my understanding and appreciation of SML, and I personally owe you a great debt for writing it. So, thank you! Is there any chance you might finish writing …