Revision as of 15:45, 19 October 2015 (view source) Grondilu (talk \| contribs) (→‎Notation) ← Older edit		Revision as of 17:14, 19 October 2015 (view source) Rdm (talk \| contribs) (→‎Notation) Newer edit →
Line 160: :--[[User:Grondilu\|Grondilu]] ([[User talk:Grondilu\|talk]]) 15:41, 19 October 2015 (UTC) :Also, a scalar does not belong to <math>\mathcal{V}</math>, so there really is no reason to use a similar notation for it as for the basis of <math>\mathcal{V}</math>.--[[User:Grondilu\|Grondilu]] ([[User talk:Grondilu\|talk]]) 15:45, 19 October 2015 (UTC) :Put differently: all of the implementations here which I have inspected use index 0 to represent the "scalar part" of the "multivector". However, the scalar part of the multivector is not orthogonal to the elements of the orthogonal basis. Specifically, in these implementations, e(0) here corresponds to index 1 of the multivector, e(1) corresponds to index 2 of the multivector, e(2) corresponds to index 4 of the multivector, e(3) corresponds to index 8 of the multivector and e(4) corresponds to index 16 of the multivector. --[[User:Rdm\|Rdm]] ([[User talk:Rdm\|talk]]) 17:14, 19 October 2015 (UTC)

Talk:Geometric algebra (view source)