Do you know if the "fact families" grow over time as they discover their illegitimate kin, the negatives?
On Wed, Jan 14, 2015 at 5:38 PM, Brian Schott <schott.br...@gmail.com> wrote: > David, > > I think I see the fact families in Linda's (and Roger's) uni-color stripes, > but only in the addition table, not the subtractions. That connection is > harder for me to see. > > Reusing your definitions a little I get the following which produces the > families 3 to 10. I especially want to explore how A. was used so > effectively. > > addends =: [: i. [: <. 1 1r2&p. > > fact_family =: [: (3 A. (, -/))"1 }.@:(,. addends) > > fact_family each 3+i. 8 > > +-----+-----+-----+-----+-----+-----+-----+------+ > > |1 2 3|1 3 4|1 4 5|1 5 6|1 6 7|1 7 8|1 8 9|1 9 10| > > | |2 2 4|2 3 5|2 4 6|2 5 7|2 6 8|2 7 9|2 8 10| > > | | | |3 3 6|3 4 7|3 5 8|3 6 9|3 7 10| > > | | | | | |4 4 8|4 5 9|4 6 10| > > | | | | | | | |5 5 10| > > +-----+-----+-----+-----+-----+-----+-----+------+ > > Thanks, > > > On Wed, Jan 14, 2015 at 4:58 PM, David Lambert <b49p23t...@stny.rr.com> > wrote: > > > The uni-color stripes in Linda's viewmat operator tables display fact > > families. Shame to lose that. > > > > Are zeros permitted? > > > > > > ( addends =: [: i. [: <. 1 1r2&p. )&.>i.11 > > +-+-+---+---+-----+-----+-------+-------+---------+---------+-----------+ > > |0|0|0 1|0 1|0 1 2|0 1 2|0 1 2 3|0 1 2 3|0 1 2 3 4|0 1 2 3 4|0 1 2 3 4 5| > > +-+-+---+---+-----+-----+-------+-------+---------+---------+-----------+ > > > > ( fact_family =: [: (3 A. (, -/))"1 (,. addends) )&.>i.11 > > +-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-------+ > > |0 0 0|0 1 1|0 2 2|0 3 3|0 4 4|0 5 5|0 6 6|0 7 7|0 8 8|0 9 9|0 10 10| > > | | |1 1 2|1 2 3|1 3 4|1 4 5|1 5 6|1 6 7|1 7 8|1 8 9|1 9 10| > > | | | | |2 2 4|2 3 5|2 4 6|2 5 7|2 6 8|2 7 9|2 8 10| > > | | | | | | |3 3 6|3 4 7|3 5 8|3 6 9|3 7 10| > > | | | | | | | | |4 4 8|4 5 9|4 6 10| > > | | | | | | | | | | |5 5 10| > > +-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-------+ > > > > > > > -- > (B=) > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > -- Devon McCormick, CFA ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
