Some guy I met in the library today was explaining some mathematics to me and he mentioned what I think he called a "Taylor algebra". I later looked it up online and couldn't find anything by that name. Does any one know what it is? Here are some rules he wrote down in my note book:(adsbygoogle = window.adsbygoogle || []).push({});

[tex][a,b+c]_n = [[a,b]_n,c]_n = [[a,c]_n,b]_n [/tex]

[tex][a+b,c]_n = [[a,c]_n,b]_0 = [[b,c]_n,a]_0 [/tex]

[tex][a,b]_n + [b,a]_n = [a+b,a+b]_n = [a,a]_n + [b,b]_n [/tex]

[tex][a,[b,c]_n]_m = [[a,b]_m,c]_{n+m} = [[a,c]_{m+n}, b]_m [/tex]

[tex][[a,b]_m,c]_n = [a,[b,c]_{n-m}]_m = [a, [c,b]_{m-n}]_n [/tex]

I didn't really understand what he was saying and I don't know if this is a definition of the algebra or just some properties.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Taylor Algebra?

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**