Wkly Pl #14 - aamath

2021-08-15

aamath is an ascii math notations package, my jams,

• oo factor integral

                     3____________________
                     /       oo
                    /       /
                   /       |  1     1
                  /        | -- - -----
                 /         |  t    10 t
 / 3\           /          | e    e
I\t / =        /      100  | ---------- dt
              /            |      t
             /             |
            /              |
           /               |
          /               /
        \/                 0

• wow factor matrix[vector] partition transformation

        / a   a   a   \    / b   b   b   \
        |  11  12  13 |    |  11  12  13 |
        |             |    |             |
        | a   a   a   |    | b   b   b   |
A  B  = |  21  22  23 |    |  21  22  23 |
 T  T   |             |    |             |
        | a   a   a   |    | b   b   b   |
        \  31  32  33 /    \  31  32  33 /

                (col2)
	/ a   a   , a   \  / b   b    b   \
	|  11  12 .  13 |  |  11  12   13 |
	|         ,     |  |              |
	| a   a   . a   |  | b   b    b   |
	|  21  22 ,  23 |  |  21  22   23 |
	|         .     | - - - - - - - - - - (row2)
	| a   a   , a   |  | b   b    b   |
	\  31  32 .  33 /  \  31  32   33 /
                  ,

 transforming sub-set of sub-vector-field space vectors 
 also ends up as orginal transformation (o_o)

        /               \  /  B_     \
A  B  = |   A_    A_    |  |    2x3  |
 T  T   |    3x2   3x1  |  |         | 
        \               /  |  B_     |
                           \    1x3  /

Above result is one of the fascinating part of matrix multiplication even a arbitary partition of row[column] space in 1st[2nd] matrix gives same transformation! (multiplication)

I do have plans to fanbomb physical insights of (mistaken-to-be)boring algebra concepts but it won't be till I ditch 'www' and move onto to gopher-hole or geminipods (might happen soon!)