Table 1 Number synthesis of multi-mode output motions
No. | \(\mathop \cap \limits_{{{\mathfrak{m}} = a,l}} \{ {}^{{\mathfrak{m}}}{\varvec{S}}\}\) | \(\mathop \cap \limits_{{{\mathfrak{m}} = a,r}} \{ {}^{{\mathfrak{m}}}{\varvec{S}}\}\) | \(\mathop \cap \limits_{{{\mathfrak{m}} = l,r}} \{ {}^{{\mathfrak{m}}}{\varvec{S}}\}\) | \(\mathop \cap \limits_{{{\mathfrak{m}} = a,l,r}} \{ {}^{{\mathfrak{m}}}{\varvec{S}}\}\) | \(\{ {}^{o}{\varvec{S}}\}\) |
|---|---|---|---|---|---|
1 | 0 | 0 | 1 | 0 | 8 |
2 | 0 | 0 | 2 | 0 | 7 |
3 | 0 | 0 | 3 | 0 | 6 |
4 | 1 | 1 | 1 | 1 | 7 |
5 | 1 | 1 | 2 | 1 | 6 |
6 | 1 | 1 | 3 | 1 | 5 |
7 | 1 | 2 | 1 | 1 | 6 |
8 | 1 | 2 | 2 | 1 | 5 |
9 | 1 | 2 | 3 | 1 | 4 |
10 | 2 | 1 | 1 | 1 | 6 |
11 | 2 | 1 | 2 | 1 | 5 |
12 | 2 | 1 | 3 | 1 | 4 |
13 | 2 | 2 | 1 | 1 | 5 |
14 | 2 | 2 | 2 | 1 | 4 |
15 | 2 | 2 | 2 | 2 | 5 |
16 | 2 | 2 | 3 | 1 | 3 |
17 | 2 | 2 | 3 | 2 | 4 |