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Vishal Lama

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  • 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…
  • Joseph - I like your "visual" mnemonics for "meet" and "join" very much!
  • Here is my solution to the first part. \( \{ \}, \{ 1 \}, \{ 2 \}, \{ 3 \}, \{ 1, 2 \}, \{ 1, 3 \}, \{ 2, 3 \}, \{ 1, 2, 3 \} \).
  • 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 …
  • John - you wrote "But sometimes I'll be busy: most notably, from April 23rd to March 5th..." Shouldn't that be May 5th, instead of March 5th?
  • 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 …