The X and Y axis, here, can be thought of as representing independent probability variables - values in the range 0..1 which represent the chance that some probabilistic process succeeds.
The Z axis can be thought of as representing the conditional probability that either X or Y are true. Alternatively, it can be thought of as representing "logical OR" in a fuzzy logic system. The computation for Z was *&.-. and * gives us "logical AND" (or X * Y represents the conditional probability that both X and Y are true, if they represent independent probability variables). In other words, this illustrates that the chance of either of two (independent) events happening is what's left over after finding the chance that neither happens. (The concept is a lot simpler than the words describing it, in part because of the care needed to relate the concept back to the relevant definitions and possibilities.) Thanks, -- Raul On Wed, Mar 19, 2014 at 1:31 PM, Joe Bogner <[email protected]> wrote: > Raul, can you give a clue what the plot is demonstrating and how it > fits in? I plotted it and I can see that it goes from 0 to 1 on each > of the axes, which looks neat, but I don't get the connection > (probability?). Not looking for the hours worth of teaching. I want to > learn, but don't want to ask that much... just a couple clues to find > out more on my own. > > On Wed, Mar 19, 2014 at 1:20 PM, Raul Miller <[email protected]> > wrote: > > Yes. > > > > And each has their own contexts where they are more convenient. > > > > -. is nice with @ & &. &.: &: @: > > > > 1 - is nice when building verb trains. > > > > And there's easily an hour's worth of teaching material here (or > > significantly more, for advanced classes), related to the history of > > computing, logic, boolean algebra, probability, and so on... > > > > require'plot' > > N=:0.01*i.101 > > X=: ["0/~ N > > Y=: ]"0/~ N > > Z=: *&.-./~ N > > $X > > 101 101 > > $Y > > 101 101 > > $Z > > 101 101 > > plot (,X);(,Y);(,Z) > > > > Thanks, > > > > -- > > Raul > > > > > > > > On Wed, Mar 19, 2014 at 12:37 PM, <[email protected]> wrote: > > > >> > 1- %~/ +/ (100 5) * _2[\ (10 3 7.5 2) > >> > >> 1 - y anti-truism/probability/fraction is -. y > >> > >> Martin > >> > >> ---------------------------------------------------------------------- > >> 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
