What is a ? Linda
-----Original Message----- From: [email protected] [mailto:[email protected]] On Behalf Of Henry Rich Sent: Saturday, November 29, 2014 11:23 PM To: [email protected] Subject: [Jprogramming] Complex puzzle WAS: Better way to locate coomplex or real numbers in an array Two ways of detecting complex numbers have been suggested: iscomplex =. 0 ~: 11&o. isnotreal =. ~:~ + They are not equivalent. iscomplex a 1 isnotreal a 0 What is an example for the finite number a? Henry Rich On 11/29/2014 10:20 PM, Linda Alvord wrote: > \Very nice. Or, if it has a different conjugate it must be complex. > Linda > > -----Original Message----- > From: [email protected] > [mailto:[email protected]] On Behalf Of Lippu > Esa > Sent: Saturday, November 29, 2014 4:37 PM > To: '[email protected]' > Subject: Re: [Jprogramming] Better way to locate coomplex or real > numbers in an array > > A real number equals its conjugate, so (~:+) works too: > > ]A=:(i:2)j./i:2 > _2j_2 _2j_1 _2 _2j1 _2j2 > _1j_2 _1j_1 _1 _1j1 _1j2 > 0j_2 0j_1 0 0j1 0j2 > 1j_2 1j_1 1 1j1 1j2 > 2j_2 2j_1 2 2j1 2j2 > (~:+) A > 1 1 0 1 1 > 1 1 0 1 1 > 1 1 0 1 1 > 1 1 0 1 1 > 1 1 0 1 1 > > Esa > -----Original Message----- > From: [email protected] > [mailto:[email protected]] On Behalf Of Henry > Rich > Sent: 29. marraskuuta 2014 05:34 > To: [email protected] > Subject: Re: [Jprogramming] Better way to locate coomplex or real > numbers in an array > > ]A=:(i:2)j./i:2 > _2j_2 _2j_1 _2 _2j1 _2j2 > _1j_2 _1j_1 _1 _1j1 _1j2 > 0j_2 0j_1 0 0j1 0j2 > 1j_2 1j_1 1 1j1 1j2 > 2j_2 2j_1 2 2j1 2j2 > (0 ~: 11&o.) A > 1 1 0 1 1 > 1 1 0 1 1 > 1 1 0 1 1 > 1 1 0 1 1 > 1 1 0 1 1 > > Henry Rich > > On 11/28/2014 10:27 PM, Linda Alvord wrote: >> A is an array of real and complex numbers. Is there an easier way to >> locate all the complex numbers. Signum locates each numbers >> intersection with a line from it to the origin and the circle. >> >> >> >> ]A=:(i:2)j./i:2 >> >> _2j_2 _2j_1 _2 _2j1 _2j2 >> >> _1j_2 _1j_1 _1 _1j1 _1j2 >> >> 0j_2 0j_1 0 0j1 0j2 >> >> 1j_2 1j_1 1 1j1 1j2 >> >> 2j_2 2j_1 2 2j1 2j2 >> >> >> >> *A >> >> _0.707107j_0.707107 _0.894427j_0.447214 _1 _0.894427j0.447214 >> _0.707107j0.707107 >> >> _0.447214j_0.894427 _0.707107j_0.707107 _1 _0.707107j0.707107 >> _0.447214j0.894427 >> >> 0j_1 0j_1 0 0j1 0j1 >> >> 0.447214j_0.894427 0.707107j_0.707107 1 0.707107j0.707107 >> 0.447214j0.894427 >> >> 0.707107j_0.707107 0.894427j_0.447214 1 0.894427j0.447214 >> 0.707107j0.707107 >> >> >> >> -.(*A)e. _1 0 1 >> >> 1 1 0 1 1 >> >> 1 1 0 1 1 >> >> 1 1 0 1 1 >> >> 1 1 0 1 1 >> >> 1 1 0 1 1 >> >> >> >> I am looking for the best way to locate all the complex numbers. >> >> >> >> Linda >> >> --------------------------------------------------------------------- >> - 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
