Here is how I generated the tables for this page.
The tables were generated using this program.
To produce the results the program needs to have an XML input code. Here I have listed this input code next to the output of the program:
| code | program output | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| <classDef> <outputTable type="product" format="html" name="octonion (c x c) x c" analyse="on" enableLabels="on"> <mathTypeCompound name="a" type="compound"> <mathTypeCompound name="a" type="compound"> <mathTypeCompound name="a" type="complex"/> <mathTypeCompound name="a" type="complex"/> </mathTypeCompound> <mathTypeCompound name="a" type="complex"/> </mathTypeCompound> </outputTable> <outputTable type="product" format="html" name="octonion c x (c x c)" analyse="on" enableLabels="on"> <mathTypeCompound name="a" type="compound"> <mathTypeCompound name="a" type="complex"/> <mathTypeCompound name="a" type="compound"> <mathTypeCompound name="a" type="complex"/> <mathTypeCompound name="a" type="complex"/> </mathTypeCompound> </mathTypeCompound> </outputTable> </classDef> |
OctonionThis is the table often given for octonions:
analysing commutivity:
table does not commute: analysing associativity:
table does not associate, |
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
