From 1162fd1f75748eadb5bbcb85bd6785e15ca4c979 Mon Sep 17 00:00:00 2001 From: "N.N." Date: Mon, 2 Jan 2006 01:40:45 +0000 Subject: now using polymorphic inlets & outlets: [$1.inlet] [$1.outlet] svn path=/trunk/abstractions/pureunity/; revision=4347 --- generics/commutator.pd | 60 +++++++++++++++++++++++++------------------------- 1 file changed, 30 insertions(+), 30 deletions(-) (limited to 'generics/commutator.pd') diff --git a/generics/commutator.pd b/generics/commutator.pd index 35559b0..1cc5785 100644 --- a/generics/commutator.pd +++ b/generics/commutator.pd @@ -1,41 +1,41 @@ #N canvas 394 81 620 407 10; -#X obj 18 84 \$1; #X obj 18 210 -; -#X obj 68 115 \$1; #X obj 68 96 f; -#X obj 18 19 inlet a; -#X obj 84 32 inlet b; #X text 75 134 ba; #X text 33 103 ab; #X obj 18 38 t a b a; -#X text 218 15 commutativity rule for operator \$1 is: a \$1 b = b -\$1 a; -#X text 218 32 which is also a \$1 b - b \$1 a = 0; -#X text 218 48 the commutator is a \$1 b - b \$1 a; -#X obj 18 229 outlet ab-ba; -#X text 189 112 when \$1 = + this is also known as a "group commutator" -; -#X text 189 132 when \$1 = * this is also known as a "ring commutator" -; #X text 190 153 however \, this thing i call commutator is more general ; #X text 189 172 see commutative-test.pd; -#X obj 106 229 outlet ab+ba; #X obj 18 141 t a a; -#X obj 106 210 +; -#X text 106 247 anticommutator; +#X obj 127 210 +; +#X text 127 247 anticommutator; #X text 19 247 commutator; -#X connect 0 0 18 0; -#X connect 1 0 12 0; -#X connect 2 0 1 1; -#X connect 2 0 19 0; -#X connect 3 0 2 0; -#X connect 4 0 8 0; -#X connect 5 0 3 1; -#X connect 5 0 0 1; -#X connect 8 0 0 0; -#X connect 8 1 3 0; -#X connect 8 2 2 1; -#X connect 18 0 1 0; -#X connect 18 1 19 1; -#X connect 19 0 17 0; +#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; -- cgit v1.2.1