Some might argue that J can also represent some formulas. Words, perhaps, are a different issue?
-- Raul On Sat, Feb 23, 2013 at 1:17 PM, km <[email protected]> wrote: > Nicely done. The "Harvard Calculus" recommends tables, graphs, formulas, and > words as problem-solving tools, and J can help with tables and graphs. About > Roger's question, I am inclined to guess a half-ellipse for maximum area, but > it's just a guess. --Kip > > Sent from my iPad > > > On Feb 23, 2013, at 11:37 AM, Raul Miller <[email protected]> wrote: > >> As a first pass, let's consider integer valued lengths for the lengths >> of one of the fences. For simplicity, let's include cases where the >> area is zero. >> L1=: i.101 >> >> Since I allowed this fence to be 100 meters in length, that means that >> the other two sides are equal length and use the remainder of the >> fencing: >> L2=: -: 100-L1 >> >> And, since this is a rectangular fence, the areas are: >> A=: L1*L2 >> >> The largest area found so far is, thus: >>> ./,A >> 1250 >> >> This corresponds to: >> (1250=A)#L1,.L2 >> 50 25 >> >> One side is 50 meters, and the other sides are half that. >> >> Plotting these values, we see that 50 meters corresponds to the apex >> of a parabola, and there's no need to consider further where the >> maxima is at. >> >> FYI, >> >> -- >> Raul >> >> On Sat, Feb 23, 2013 at 9:42 AM, km <[email protected]> wrote: >>> Use J to solve the farmer's fence problem: >>> >>> A farmer with 100 meters of wire fence wants to make a rectangular chicken >>> yard using an existing barn wall for one of the north-south sides. What is >>> the largest area he can enclose if he uses the 100 meters of fence for the >>> other three sides, and what are the dimensions of the largest-area chicken >>> yard? >>> >>> Kip Murray >>> >>> Sent from my iPad >>> >>> ---------------------------------------------------------------------- >>> 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
