Thursday, October 11, 2012

The Wool in his Pants

A few days ago, while Boober was at home with me due to an illness (his, not mine) and working away in the office at one of his "creations" (which always come out looking like tamed chaos) he walked up to my chair and asked: "You know why I have wool in my pants?". I said, "No Boober, why?". "Because it makes me feel comfy".

Wednesday, January 25, 2012

Some take delight ...

Some take delight in the carriage a-rollin', others take delight in fishing and boating, I take delight in the order of the matrices, summation, subtraction and the describing the algorithm of production; Musha rig um du rum da.

So yes, I take delight in describing how to perform the product of two matrices to a computer. Why? Who knows. Maybe there was some method to the three-pack-a-day cigarette smoking habit my mother dutifully maintained while I quickened (and quite likely, coughed) in the womb. Perchance it was influenced by my father's dramatic discovery that he could fix the spray nozzle of the garden hose with a wedge of scrap 2x4. Perhaps it was all the time I spent, late at night with a flash light under the sheets, reading the exploits of he Hardy Boys (which I have since re-read). Perhaps it is none of these things, but the whim of chance that has provided me a natural curiosity for the nerdy. It's not as though the calculation of the product of two matrices is likely to establish me as a contender for any sort of Nobel prize, but there is a distinct pleasure in being able to think through, solve, and describe to a computer, some problem, and it happens that, of late, I have been thinking about algebra, and in particular matrices, their operations and properties.

It's just plain fun. In any case, here it is:

1. given an mxn matrix (call it A), and
2. given an nxp matrix (call it B)
3. produce a mxp matrix (call it C)

for i in 0 .. m begin
   for j in 0 .. p begin
      Ci,j = 0
      for k in 0 .. n begin
         Ci,j = Ci,j + Ai,k x Bk,j
      end
   end
end

It took me the greater part of a day to get that right. That may not sound like much, but it is, though in defense of my capabilities, I was working on it but intermittently.

It's a lot more fun than it sounds.

Next: the determinant. I understand what needs to be done ... now to do it.