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Table 3 Presentation of examples of the severity assessment on Criterion A

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

Symptom number 1 2 3 4 5 6 7 8 9   Episode
row 1 2 5 3 0 6 2 0 4 1 (mod 7) 1
row 2 0 2 0 0 4 0 0 2 3 (mod 7) 0
row 3 0 0 0 5 0 0 0 3 0 (mod 7) 0
row 4 5 4 0 2 1 0 3 0 6 (mod 7) 1
row 5 0 6 4 1 0 0 0 0 2 (mod 7) 0
row 6 1 5 3 0 1 4 0 0 1 (mod 7) 1
row 7 (= row 4) 5 4 0 2 1 0 3 0 6 (mod 7) 1
row 8 (= row 2) 0 2 0 0 4 0 0 2 3 (mod 7) 0
row 9 (= row 5) 0 6 4 1 0 0 0 0 2 (mod 7) 0
row 10 (= row 4) 5 4 0 2 1 0 3 0 6 (mod 7) 1
Total sum 18 38 14 13 18 6 9 11 30   5
Average 1.8 3.8 1.4 1.3 1.8 0.6 0.9 1.1 3.0   0.5
  1. Examples for symptoms 1–9 in Criterion A composed of ‘0, 1, 2,…, 6’ are presented. Rows 7 and 10 are equivalent to row 4; i.e., row 4 = row 7 = row 10. Additionally, row 2 = row 8 and row 5 = row 9. The table gives the order of effectiveness of symptoms 1–9 in Criterion A. Similar to the case of diagnosis (Tables 1 and 2), all symptoms 1–9 in Criterion A are effective, which is expressed by Aall(1–9) (= A(0→all(1–9))) = [11|12|13|14|15|16|17|18|19||0 10 |0 11 |0 12 |…] (mod 2). Note that Aall(1-n) (in this regard, n = 9) acts as an identity for an inner product; ‹Aj› ∙ Aall(1-n) = Aall(1-n) ∙ ‹Aj› = ‹Aj› (mod 7) (n = 9). Additionally, ‹Aj› could be regarded as an operator that yields ‹Aj› (= ‹A(0→j)›) itself by acting on ‹A0›; ‹A0› *‹Aj› = ‹A0› *‹A(0→j)› = ‹Aj› (mod 7), where ‹A0› is an identity (unrated or completely healthy) state ‹A0› = [01|02|03|04|05|06|07|08|09||0 10 |0 11 |0 12 |…] (mod 7)