User:Frostburn/Geometric algebra for regular temperaments: Difference between revisions
→Improving the notation: Think about units of measurement. |
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3D lines that pass through the origin find representation in the [[Wikipedia:Geometric Algebra|Geometric Algebra]] <math>\mathcal G(3,0)</math>. Our vals are now vectors, or points if you think projectively, in this space. | 3D lines that pass through the origin find representation in the [[Wikipedia:Geometric Algebra|Geometric Algebra]] <math>\mathcal G(3,0)</math>. Our vals are now vectors, or points if you think projectively, in this space. | ||
:<math> | :<math> \langle 5, 8, 12 \rbrack \mapsto 5e_1 + 8e_2 + 12e_3 =: \overleftarrow{5} </math> | ||
I will use the term pseudoscalar to refer to the combination of all basis vectors and denote it with ''i''. | I will use the term pseudoscalar to refer to the combination of all basis vectors and denote it with ''i''. | ||