Symmetrical treatment of “Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition”, for major depressive disorders

Table 4 Compressed expression of Table 3

Count		State	Row/Session		Abbreviation	Episode
3	×	A[540210306]	(4,7,10)	(mod 7)	3∙‹A›_540210306 (4,7,10)	3
2	×	A[064100002]	(5,9)	(mod 7)	2∙‹A›_064100002 (5,9)	0
2	×	A[020040023]	(2,8)	(mod 7)	2∙‹A›_020040023 (2,8)	0
1	×	A[253062041]	(1)	(mod 7)	‹A›_253062041 (1)	1
1	×	A[153014001]	(6)	(mod 7)	‹A›_153014001 (6)	1
1	×	A[000500030]	(3)	(mod 7)	‹A›_000500030 (3)	0
	‹Sum›[18\|38\|14\|13\|18\|6\|9\|11\|30] (non-modular)					5
	‹Mean›[1.8\|3.8\|1.4\|1.3\|1.8\|0.6\|0.9\|1.1\|3.0] (non-modular)					0.5

The rows in Table 3 that have the same series of numerals are simplified as a single row. The numerals immediately before ‘‹A›_{×××××××××}’ are the counts of patients who have the same series of assessments, and the rows are arranged in descending order of the number of counts. For the same number of counts, rows are listed in descending order of their base-7 notation (e.g., 540210306). Numerals in parentheses (e.g., (2,8)) indicate the original row numbers in Table 3. In the table, the number of rows does not exceed 7^×9, according to the characteristics of the group/ring/field Z₇ ^×9. The right column is considered the minimized form of the model and can be used independently

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