Talk:Patent val: Difference between revisions

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::::::::: I do like "scaled", thank you I will use it! I'm good with "nearest scaled edomappings". The phrase is admittedly a bit intimidating, but I could see it working. The newcomer should first learn about edomappings, then nearest edomappings, then scaled edomappings, then nearest scaled edomappings. We could call them NSEs or something, unless we call them proper/uniform. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 00:47, 30 September 2021 (UTC)

:::::::::: I'm glad we're on the same page now re: GPVs. I agree "proper" is a reasonable choice. I probably like it better than "generalized". But I still prefer "uniform". Of course, the fact that I need to provide extra explanation for "uniform" to you doesn't bode well for my case :) But let me give it a shot, leaning on the dictionary definition you provided. Please glance back up at my charts I pasted above. Again, the perfectly straight vertical lines I draw through the chart represent uniform maps. I suppose you could think of these lines, as you follow them vertically through the chart, as "choosing" the mapping for each prime. The fact that I require the line to be perfectly straight up-and-down is what makes it work. So if I had not uniformly scaled the lines per each of the primes, the line wouldn't be perfectly straight, and I wouldn't have a uniform map. That's the uniform part: uniform per prime, no variations in scale between them, identical and consistent scaling per prime. Does that work? As I explain it, I'm realizing that "straight map" might work just as well or better. What are your thoughts on that?

:::::::::: I'm glad you like "scaled". But I still prefer uniform map. I don't know what you mean by a "scaled edomapping" (one that's not a "nearest scaled edomapping"... what is scaled ''of'', then?). In my opinion a newcomer would first learn about maps, then uniform maps, then integer uniform maps. That's the order I present the ideas in my RTT How-To at present. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 01:36, 30 September 2021 (UTC)

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 ::::::::: I do like "scaled", thank you I will use it! I'm good with "nearest scaled edomappings". The phrase is admittedly a bit intimidating, but I could see it working. The newcomer should first learn about edomappings, then nearest edomappings, then scaled edomappings, then nearest scaled edomappings. We could call them NSEs or something, unless we call them proper/uniform. --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 00:47, 30 September 2021 (UTC)
+:::::::::: I'm glad we're on the same page now re: GPVs. I agree "proper" is a reasonable choice. I probably like it better than "generalized". But I still prefer "uniform". Of course, the fact that I need to provide extra explanation for "uniform" to you doesn't bode well for my case :) But let me give it a shot, leaning on the dictionary definition you provided. Please glance back up at my charts I pasted above. Again, the perfectly straight vertical lines I draw through the chart represent uniform maps. I suppose you could think of these lines, as you follow them vertically through the chart, as "choosing" the mapping for each prime. The fact that I require the line to be perfectly straight up-and-down is what makes it work. So if I had not uniformly scaled the lines per each of the primes, the line wouldn't be perfectly straight, and I wouldn't have a uniform map. That's the uniform part: uniform per prime, no variations in scale between them, identical and consistent scaling per prime. Does that work? As I explain it, I'm realizing that "straight map" might work just as well or better. What are your thoughts on that?
+:::::::::: I'm glad you like "scaled". But I still prefer uniform map. I don't know what you mean by a "scaled edomapping" (one that's not a "nearest scaled edomapping"... what is scaled ''of'', then?). In my opinion a newcomer would first learn about maps, then uniform maps, then integer uniform maps. That's the order I present the ideas in my RTT How-To at present. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 01:36, 30 September 2021 (UTC)