#N canvas 394 81 620 407 10; #X obj 18 210 -; #X obj 68 96 f; #X text 75 134 ba; #X text 33 103 ab; #X obj 18 38 t a b a; #X text 190 153 however \, this thing i call commutator is more general ; #X text 189 172 see commutative-test.pd; #X obj 18 141 t a a; #X obj 127 210 +; #X text 127 247 anticommutator; #X text 19 247 commutator; #X obj 18 19 \$1.inlet a; #X text 218 15 Say operator \$2 is *. Then the commutativity rule is: ; #X text 218 32 a*b=b*a which is also a*b-b*a = 0; #X text 218 48 the commutator is a*b - b*a; #X text 189 112 when \$2=+ this is also known as a "group commutator" ; #X text 189 132 when \$2=* this is also known as a "ring commutator" ; #X obj 18 229 \$1.outlet ab-ba; #X obj 127 229 \$1.outlet ab+ba; #X obj 93 19 \$1.inlet b; #X obj 68 115 \$2; #X obj 18 84 \$2; #X connect 0 0 17 0; #X connect 1 0 20 0; #X connect 4 0 21 0; #X connect 4 1 1 0; #X connect 4 2 20 1; #X connect 7 0 0 0; #X connect 7 1 8 1; #X connect 8 0 18 0; #X connect 11 0 4 0; #X connect 19 0 1 1; #X connect 19 0 21 1; #X connect 20 0 0 1; #X connect 20 0 8 0; #X connect 21 0 7 0;