Talk:Set of real numbers: Difference between revisions
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::::--[[User:Paddy3118|Paddy3118]] 05:14, 4 October 2011 (UTC)
::::: "Computer representation of real numbers as a set" is so much more complicated than "solving sin(x) = +/- 1/2 over real domain" that, if you don't have "a ready grasp of this branch of mathematics" (what branch, really?) you probably don't want to deal with this task. For the optional goal, I want an easy and unambiguous specification of a somewhat large number of disjoint regions of real numbers, that 1) is easy to program for but not easy, at least not pleasant, to write down completely by hand; 2) is not periodic, so you need a general approach instead of just calculate the first few numbers and multiply the result by 10; 3) whose intermediate results are easy to check, say, against a plotted curve; 4) does not require more than high school math. Also the required part of the task already asked for combinations of 2 simple sets, it's highly redundant to ask for 5. I don't think the above requirements are so very extraordinarily steep for a program that's supposed to deal with real numbers, and frankly I'm surprised that complaints so far have been about sin(x) = 1/2 instead of more crucial stuff like floating point precision, representibility of real sets on a computer, ambiguity of infinities, etc. --[[User:Ledrug|Ledrug]] 06:16, 4 October 2011 (UTC)
:::::: So, ok.. I have posted an implementation of the "Optional Work". Note that most of the computation was about finding the boundaries for the intervale. Note also that none of the "Optional Work" had anything to do with the implementation for the base task. Note also that (once I had the locations of the interval boundaries) the final computation was much simpler than the implementation of the base task. (I believe that this is because intervals are easier to represent as sequences than as sets, but also the initial implementation cared about inclusive vs. exclusive bounds and that's not relevant for the optional part. Another issue is that the base task gave us numeric bounds where the optional part required us to compute them.)
::::: Typically, "extra credit" tasks incorporate the base task. Since that apparently that is neither desired nor expected here, perhaps the "Optional Work" section should have a note that we do not need to find the set implementation useful for the "Optional Work"? --[[User:Rdm|Rdm]] 17:57, 4 October 2011 (UTC)
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