Defactoring terminology proposal: Difference between revisions
Cmloegcmluin (talk | contribs) move basic terminological history facts from the terminology change proposal into the general audience page on Mike's suggestion |
Cmloegcmluin (talk | contribs) →Defactoring, to replace saturation: bring back the statement about enfactoring sounding like infected, and better explain the preference for defactoring here |
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Several concerns with the term "saturation" may be identified: | Several concerns with the term "saturation" may be identified: | ||
# It does not have any obvious musical or mathematical meaning in this context. | # It does not have any obvious musical or mathematical meaning in this context, while defactoring and enfactoring clearly refer to the common factor found in linear combinations of matrix rows or columns. | ||
# It has another unrelated meaning within xenharmonics that it would conflict with: https://en.xen.wiki/w/Anomalous_saturated_suspension | # It has another unrelated meaning within xenharmonics that it would conflict with: https://en.xen.wiki/w/Anomalous_saturated_suspension | ||
# The most common everyday usage of that word is for "saturated fats", which are the bad kind of fats, so it has negative associations, despite "saturation" being the ''good'' state for a matrix to be in. | # The most common everyday usage of that word is for "saturated fats", which are the bad kind of fats, so it has negative associations, despite "saturation" being the ''good'' state for a matrix to be in. On the other hand, "enfactored" sounds a bit like "infected", better suggesting the [[The pathology of enfactoring|pathological case]] of unsaturation. | ||
# Furthermore, there is another common but conflicting sense of saturation for matrices which clamps entry values to between -1 and 1<ref>See https://math.stackexchange.com/questions/1964814/linear-transformation-of-a-saturated-vector and https://faculty.uml.edu//thu/tcs01-june.pdf</ref>. | # Furthermore, there is another common but conflicting sense of saturation for matrices which clamps entry values to between -1 and 1<ref>See https://math.stackexchange.com/questions/1964814/linear-transformation-of-a-saturated-vector and https://faculty.uml.edu//thu/tcs01-june.pdf</ref>. | ||
== Enfactoring, to replace torsion and contorsion == | == Enfactoring, to replace torsion and contorsion == | ||