Douglas Blumeyer's RTT How-To: Difference between revisions
Cmloegcmluin (talk | contribs) m →multicovectors: Steve Martin pointed out I didn't state the dimensionality of this example |
Cmloegcmluin (talk | contribs) →projective tuning space: disclaim this entire section |
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== projective tuning space == | == projective tuning space == | ||
In this section, we will be going into potentially excruciating detail about how to read the projective tuning space diagram featured prominently in Paul Erlich's Middle Path paper. For me personally, attaining total understanding of this diagram was critical before the linear algebra stuff (that we'll discuss afterwards) started to mean much to me. But other people might not work that way, and the extent of detail I go into in this section is not necessary to become competent with RTT (in fact, to my delight, one of the points I make in this section was news to Paul himself). So if you're already confident about reading the PTS diagram, you may try skipping ahead. | |||
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And so it makes sense that {{val|17 27 40}} and {{val|17 27 39}} are aligned horizontally, because the only difference between their maps is in the 5-term, and the 5-axis is horizontal. | And so it makes sense that {{val|17 27 40}} and {{val|17 27 39}} are aligned horizontally, because the only difference between their maps is in the 5-term, and the 5-axis is horizontal. | ||
=== scaled axes === | === scaled axes === | ||