I have no idea why you're saying that. Irrationals don't have denominators; they cannot be written as fractions. And no floating point numbers are irrationals.
On Thu, Jun 14, 2018 at 12:18 AM 'Bo Jacoby' via Programming < [email protected]> wrote: > If a floating point number (a) , is irrational, then (x:a) has a > denominator greater than 1e10. > Some rational and irrational numbers are: > x:%%:>:i.5 > 1 676982533219r957397879968 9943229281777r17222178307344 1r2 > 8728368286235r19517224820674 > The denominators are: > 1 957397879968 17222178307344 2 19517224820674 > 1 9.57398e11 1.72222e13 2 1.95172e13 > So the problem of identifying irrational numbers is reduced to the problem > of finding the denominator in x:a > /Bo. > > Den 23:42 onsdag den 13. juni 2018 skrev Linda Alvord < > [email protected]>: > > > > I wrote a definition with only one argument. > > Linda > > Get Outlook for Android<https://aka.ms/ghei36> > > ________________________________ > From: Programming <[email protected]> on behalf of > Raul Miller <[email protected]> > Sent: Wednesday, June 13, 2018 4:36:31 PM > To: Programming forum > Subject: Re: [Jprogramming] Finding Irrational Numbers > > So, something like this? > > fe=:4 :0 > p=. 9!:10'' > vi=. _. > ve=. y > try. > 9!:11 x > ve=. ":&.>y > 9!:11]15 > vi=. ":&.>y > catch. > end. > 9!:11 p > ve=vi > ) > > Thanks, > > -- > Raul > On Wed, Jun 13, 2018 at 4:22 PM Skip Cave <[email protected]> wrote: > > > > So I'm thinking something like this, to find exact numbers in a floating > > point array: > > > > > > pps 15 NB. Set the print precision. > > > > > > Create a mixed floating point vector b: > > > > > > ]b=:(,3? 10^1+i.4),%a=:1+i.20 > > > > 0 2 7 36 93 57 808 875 559 4674 8635 6196 1 0.5 0.333333333333333 0.25 > 0.2 > > 0.166666666666667 0.142857142857143 0.125 0.111111111111111 0.1 > > 0.0909090909090909 0.0833333333333333 0.0769230769230769 > 0.0714285714285714 > > 0.0666666666666667 0.0625 0.0588235294117... > > > > > > Create a "find exact" verb 'fe' where x=the number of digits max that can > > be exact, and y is the vector to be tested (boolean result): > > > > > > fe=. 4 : 'x> ># each ": each <"1,.y' > > > > > > ]c=.9 fe b > > > > 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 > > > > > > Show exact: > > > > c#b > > > > 0 2 7 36 93 57 808 875 559 4674 8635 6196 1 0.5 0.25 0.2 0.125 0.1 0.0625 > > 0.05 > > > > > > Show inexact: > > > > (-.c)#b > > > > 0.333333333333333 0.166666666666667 0.142857142857143 0.111111111111111 > > 0.0909090909090909 0.0833333333333333 0.0769230769230769 > 0.0714285714285714 > > 0.0666666666666667 0.0588235294117647 0.0555555555555556 > 0.0526315789473684 > > > > #b > > > > 32 > > > > #c#b > > > > 20 > > > > > > I'm sure this scheme has some holes, but it is a reasonable first cut. > > > > > > Skip > > ---------------------------------------------------------------------- > > For information about J forums see > https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.jsoftware.com%2Fforums.htm&data=02%7C01%7C%7C41ac47c72e1441cc1f0b08d5d16d6b12%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636645190246397362&sdata=C%2B8YZ2EAW533k4brRJj7gZXQzxUXVbnCthCXYM1YZ1I%3D&reserved=0 > ---------------------------------------------------------------------- > For information about J forums see > https://nam02.safelinks.protection.outlook.com/?url=http%3A%2F%2Fwww.jsoftware.com%2Fforums.htm&data=02%7C01%7C%7C41ac47c72e1441cc1f0b08d5d16d6b12%7C84df9e7fe9f640afb435aaaaaaaaaaaa%7C1%7C0%7C636645190246397362&sdata=C%2B8YZ2EAW533k4brRJj7gZXQzxUXVbnCthCXYM1YZ1I%3D&reserved=0 > ---------------------------------------------------------------------- > 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
