Fokker block: Difference between revisions

Line 43:

==== Fourth definition of a Fokker block ====

The ''n'' - 1 (tempered) abstract MOS scales discussed with the second definition of Fokker blocks can be put into some chosen order, and the [[product word]] taken. This entails that every Fokker block leads to a product word, and the process can be reversed, so that product words of ''n'' - 1 abstract MOS scales lead to Fokker blocks. Given the ''n'' - 1 vals obtained by taking the interior product with some interval ''q'', ''q'' can be recovered either by wedging the vals together and taking the [[The dual|dual]], or by taking the determinant of the ''n''×''n'' matrix of vals whose first row consists of indeterminates, as in the [[#Preliminaries]] section.

The ''n'' - 1 (tempered) abstract MOS scales discussed with the second definition of Fokker blocks can be put into some chosen order, and the [[product word]] taken. This entails that every Fokker block leads to a product word, and the process can be reversed, so that product words of ''n'' - 1 abstract MOS scales (''not'' ignoring mode) lead to Fokker blocks. Given the ''n'' - 1 vals obtained by taking the interior product with some interval ''q'', ''q'' can be recovered either by wedging the vals together and taking the [[The dual|dual]], or by taking the determinant of the ''n''×''n'' matrix of vals whose first row consists of indeterminates, as in the [[#Preliminaries]] section.

=== Determining if a scale is a Fokker block ===

@@ Line 43: / Line 43: @@
 ==== Fourth definition of a Fokker block ====
-The ''n'' - 1 (tempered) abstract MOS scales discussed with the second definition of Fokker blocks can be put into some chosen order, and the [[product word]] taken. This entails that every Fokker block leads to a product word, and the process can be reversed, so that product words of ''n'' - 1 abstract MOS scales lead to Fokker blocks. Given the ''n'' - 1 vals obtained by taking the interior product with some interval ''q'', ''q'' can be recovered either by wedging the vals together and taking the [[The dual|dual]], or by taking the determinant of the ''n''×''n'' matrix of vals whose first row consists of indeterminates, as in the [[#Preliminaries]] section.
+The ''n'' - 1 (tempered) abstract MOS scales discussed with the second definition of Fokker blocks can be put into some chosen order, and the [[product word]] taken. This entails that every Fokker block leads to a product word, and the process can be reversed, so that product words of ''n'' - 1 abstract MOS scales (''not'' ignoring mode) lead to Fokker blocks. Given the ''n'' - 1 vals obtained by taking the interior product with some interval ''q'', ''q'' can be recovered either by wedging the vals together and taking the [[The dual|dual]], or by taking the determinant of the ''n''×''n'' matrix of vals whose first row consists of indeterminates, as in the [[#Preliminaries]] section.
 === Determining if a scale is a Fokker block ===