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

 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 A_{all(1–9)} (= A_{(0→all(1–9))}) = [1_{1}1_{2}1_{3}1_{4}1_{5}1_{6}1_{7}1_{8}1_{9}0
_{
10
}0
_{
11
}0
_{
12
}…] (mod 2). Note that A_{all(1n)} (in this regard, n = 9) acts as an identity for an inner product; ‹A_{j}› ∙ A_{all(1n)} = A_{all(1n)} ∙ ‹A_{j}› = ‹A_{j}› (mod 7) (n = 9). Additionally, ‹A_{j}› could be regarded as an operator that yields ‹A_{j}› (= ‹A_{(0→j)}›) itself by acting on ‹A_{0}›; ‹A_{0}› *‹A_{j}› = ‹A_{0}› *‹A_{(0→j)}› = ‹A_{j}› (mod 7), where ‹A_{0}› is an identity (unrated or completely healthy) state ‹A_{0}› = [0_{1}0_{2}0_{3}0_{4}0_{5}0_{6}0_{7}0_{8}0_{9}0
_{
10
}0
_{
11
}0
_{
12
}…] (mod 7)