You may want to read http://en.wikipedia.org/wiki/Repeating_decimal to see if you can derive a math-based solution to the size of the repetend of a rational number.
On Sat, Jan 11, 2020 at 8:00 PM Skip Cave <[email protected]> wrote: > I'll need something like this: > > n=.'abcdefgabcdefgabcdefgabcdefgabcdefgabcdefg' > > nc=.n="1 > > |:n,.(1|.n),.(2|.n),.(3|.n),.(4|.n),.(5|.n),.(6|.n),.(7|.n),.(8|.n),.(9|.n),.(10|.n) > > +/"1 nc > > 42 0 0 0 0 0 0 42 0 0 0 > > So it is clear, n repeats every 8 digits. > > > There's got to be a non-looping way to define nc more concisely. > > > Skip > > Skip Cave > Cave Consulting LLC > > > On Sat, Jan 11, 2020 at 9:40 PM Skip Cave <[email protected]> wrote: > > > If I remember my college math courses, what I need is what is > > typically called "autocorrelation" which finds the repetitiveness of a > > vector of numbers. In this case, rather than a probability statistic, > there > > should be an integer defining the exact number of digits before > repetition > > begins. > > > > Skip Cave > > Cave Consulting LLC > > > > > > On Sat, Jan 11, 2020 at 8:08 PM Julian Fondren <[email protected] > > > > wrote: > > > >> On Sat, 2020-01-11 at 19:55 -0600, Julian Fondren wrote: > >> > I don't have a good answer > >> > >> geh, I could've said that again. I only looked up e. after wondering > >> why exactly I got the final wrong result. > >> > >> '500500500' e. '50' > >> 1 1 1 1 1 1 1 1 1 > >> > >> Is all ones as it's only finding either '5' or '0' in each of those > >> positions. So this is useless, sorry. > >> > >> > On Sat, 2020-01-11 at 19:22 -0600, Skip Cave wrote: > >> > > Beautiful! Thank you Roger. > >> > > > >> > > Now, how can I find the number of digits in each repeating cycle of > >> > > a > >> > > rational number? > >> > > > >> > > Skip > >> > > > >> > > Skip Cave > >> > > Cave Consulting LLC > >> > > > >> > > > >> > > On Sat, Jan 11, 2020 at 7:03 PM Roger Hui < > >> > > [email protected]> > >> > > wrote: > >> > > > >> > > > 0j1000 ": 1r17 > >> > > > > >> > > > 0.058823529411764705882352941176470588235294117647058823529411764 > >> > > > 70 > >> > > > 58823529411764705882352941176470588235294117647058823529411764705 > >> > > > 88 > >> > > > 23529411764705882352941176470588235294117647058823529411764705882 > >> > > > 35 > >> > > > 2941176470588235294117647058823529411764705882352941176... > >> > > > > >> > > > _100 ]\ 0j1000 ": 1r17 > >> > > > > >> > > > 0.058823529411764705882352941176470588235294117647058823529411764 > >> > > > 70 > >> > > > 588235294117647058823529411764705 > >> > > > > >> > > > 88235294117647058823529411764705882352941176470588235294117647058 > >> > > > 82 > >> > > > 352941176470588235294117647058823 > >> > > > > >> > > > 52941176470588235294117647058823529411764705882352941176470588235 > >> > > > 29 > >> > > > 411764705882352941176470588235294 > >> > > > > >> > > > 11764705882352941176470588235294117647058823529411764705882352941 > >> > > > 17 > >> > > > 647058823529411764705882352941176 > >> > > > > >> > > > 47058823529411764705882352941176470588235294117647058823529411764 > >> > > > 70 > >> > > > 588235294117647058823529411764705 > >> > > > > >> > > > 88235294117647058823529411764705882352941176470588235294117647058 > >> > > > 82 > >> > > > 352941176470588235294117647058823 > >> > > > > >> > > > 52941176470588235294117647058823529411764705882352941176470588235 > >> > > > 29 > >> > > > 411764705882352941176470588235294 > >> > > > > >> > > > 11764705882352941176470588235294117647058823529411764705882352941 > >> > > > 17 > >> > > > 647058823529411764705882352941176 > >> > > > > >> > > > 47058823529411764705882352941176470588235294117647058823529411764 > >> > > > 70 > >> > > > 588235294117647058823529411764705 > >> > > > > >> > > > 88235294117647058823529411764705882352941176470588235294117647058 > >> > > > 82 > >> > > > 352941176470588235294117647058823 > >> > > > 53 > >> > > > > >> > > > _16 ]\ 3}. 0j1000 ": 1r17 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882352941176470 > >> > > > 5882353 > >> > > > > >> > > > > >> > > > On Sat, Jan 11, 2020 at 4:31 PM Skip Cave < > >> > > > [email protected]> > >> > > > wrote: > >> > > > > >> > > > > How can I use J get the decimal expansion of the rational > >> > > > > number > >> > > > > 1r17 to > >> > > > > 100 digits? 1000 digits? > >> > > > > > >> > > > > Skip > >> > > > > > >> > > > > > >> > > > > Skip Cave > >> > > > > Cave Consulting LLC > >> > > > > --------------------------------------------------------------- > >> > > > > ------- > >> > > > > For information about J forums see > >> > > > > http://www.jsoftware.com/forums.htm > >> > > > > > >> > > > ----------------------------------------------------------------- > >> > > > ----- > >> > > > For information about J forums see > >> > > > http://www.jsoftware.com/forums.htm > >> > > > > >> > > ------------------------------------------------------------------- > >> > > --- > >> > > For information about J forums see > >> > > http://www.jsoftware.com/forums.htm > >> > > >> > ------------------------------------------------------------------- > >> > --- > >> > For information about J forums see > >> > http://www.jsoftware.com/forums.htm > >> > >> ---------------------------------------------------------------------- > >> For information about J forums see http://www.jsoftware.com/forums.htm > >> > > > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
