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Table 5

Estimated partition for the state space {a, b, c}4 – procedure (i).

Part Element Cardinal
L 1 aaaa, aaac, aabb, aacb, abac, abbc, abcc, acaa, acbb, baab, baca, bbab, bbbb, bbcb, bbcc, bcaa, bccb, cabb 18
L 2 aaca, abaa, baaa, babc, bacb, bcab, bcba, caaa, caab, caba, caca, cbbb, cbca, ccac, ccca 15
L 3 abcb, baba, babb, bbaa, bbca, bcbc 6
L 4 abbb, abca, bbba, bcac, bcbb, cbaa, cbba, cbcc, ccba 9
L 5 aaab, aaba, aabc, aacc, abab, abba, acab, acac, acba, acbc, acca, accb, accc, baac, bacc, bbac, bbbc, bcca, bccc,caac, cabc, cacb, cacc, cbab, cbac, cbbc, cbcb, ccaa, ccab, ccbb, ccbc, cccb, cccc 33