14.02.2013 Views

Grassmann Algebra

Grassmann Algebra

Grassmann Algebra

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Notation<br />

To be completed.<br />

Operations<br />

� exterior product operation<br />

� regressive product operation<br />

���� interior product operation<br />

���� generalized product operation<br />

Λ<br />

� Clifford product operation<br />

���� hypercomplex product operation<br />

�����<br />

� complement operation<br />

� � ���<br />

vector subspace complement operation<br />

� cross product operation<br />

��� measure<br />

= defined equal to<br />

� equal to<br />

� congruence<br />

Elements<br />

a, b, c, … scalars<br />

x, y, z, … 1-elements or vectors<br />

Α, Β, Γ, …<br />

m m m<br />

m-elements<br />

X, Y, Z, … <strong>Grassmann</strong> numbers<br />

Ν1 , Ν2 , … position vectors<br />

P1 , P2 , … points<br />

L1 , L2 , … lines<br />

�1 , �2 , … planes<br />

2001 4 26

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!