Comparison of Y and T: |$\mathrm{Y}=\left[\mathrm{a}1\vee \mathrm{a}2\vee \mathrm{a}3\right]\wedge \mathrm{a}4\to \mathrm{a}5\kern1.25em \mathrm{T}=\left[\left(\mathrm{a}1\wedge \mathrm{a}2\right)\vee \mathrm{a}3\right]\wedge \mathrm{a}4 \leftrightarrow \mathrm{a}5$|. Explanation as for Table 2
. | 1 . | 2 . | 3 . | 4 . | 5 . |
---|---|---|---|---|---|
1 | Y-T (size a) | Y∩T (size b) | T-Y (size c) | C-(Y∪T) (size d) | |
2 | a5 = 1 | 2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16 | 1, 3, 4, 5, 11 | ||
3 | a5 = 0 | 2, 6, 7, 8, 12, 13, 14, 15, 16 | 9, 10 | 1, 3, 4, 5, 11 | |
4 | |$\mid\! \mathrm{Y}-\mathrm{T}\!\mid\, =\mathrm{a}=11$| | |$\mid\! \mathrm{Y}\cap \mathrm{T}\!\mid\, =\mathrm{b}=14$| | |$\mid\! \mathrm{T}-\mathrm{Y}\!\mid\, =\mathrm{c}=2$| | |$\mid\! \mathbf{C}-\left(\mathrm{Y}\cup \mathrm{T}\right)\!\mid\, =\mathrm{d}=5$| | |
5 | |${\mathrm{d}}^{\mathrm{p}}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\mathrm{a}/\left(\mathrm{a}+\mathrm{b}\right)=11/25$| | |||
6 | |${\mathrm{d}}^{\#\#}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\mathrm{a}/\left(\mathrm{a}+2\mathrm{b}\right)=11/39$| | |||
7 | |${\mathrm{d}}^{\Delta}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\left(\mathrm{a}+\mathrm{c}\right)/\left(\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}\right)=13/32$| |
. | 1 . | 2 . | 3 . | 4 . | 5 . |
---|---|---|---|---|---|
1 | Y-T (size a) | Y∩T (size b) | T-Y (size c) | C-(Y∪T) (size d) | |
2 | a5 = 1 | 2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16 | 1, 3, 4, 5, 11 | ||
3 | a5 = 0 | 2, 6, 7, 8, 12, 13, 14, 15, 16 | 9, 10 | 1, 3, 4, 5, 11 | |
4 | |$\mid\! \mathrm{Y}-\mathrm{T}\!\mid\, =\mathrm{a}=11$| | |$\mid\! \mathrm{Y}\cap \mathrm{T}\!\mid\, =\mathrm{b}=14$| | |$\mid\! \mathrm{T}-\mathrm{Y}\!\mid\, =\mathrm{c}=2$| | |$\mid\! \mathbf{C}-\left(\mathrm{Y}\cup \mathrm{T}\right)\!\mid\, =\mathrm{d}=5$| | |
5 | |${\mathrm{d}}^{\mathrm{p}}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\mathrm{a}/\left(\mathrm{a}+\mathrm{b}\right)=11/25$| | |||
6 | |${\mathrm{d}}^{\#\#}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\mathrm{a}/\left(\mathrm{a}+2\mathrm{b}\right)=11/39$| | |||
7 | |${\mathrm{d}}^{\Delta}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\left(\mathrm{a}+\mathrm{c}\right)/\left(\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}\right)=13/32$| |
Comparison of Y and T: |$\mathrm{Y}=\left[\mathrm{a}1\vee \mathrm{a}2\vee \mathrm{a}3\right]\wedge \mathrm{a}4\to \mathrm{a}5\kern1.25em \mathrm{T}=\left[\left(\mathrm{a}1\wedge \mathrm{a}2\right)\vee \mathrm{a}3\right]\wedge \mathrm{a}4 \leftrightarrow \mathrm{a}5$|. Explanation as for Table 2
. | 1 . | 2 . | 3 . | 4 . | 5 . |
---|---|---|---|---|---|
1 | Y-T (size a) | Y∩T (size b) | T-Y (size c) | C-(Y∪T) (size d) | |
2 | a5 = 1 | 2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16 | 1, 3, 4, 5, 11 | ||
3 | a5 = 0 | 2, 6, 7, 8, 12, 13, 14, 15, 16 | 9, 10 | 1, 3, 4, 5, 11 | |
4 | |$\mid\! \mathrm{Y}-\mathrm{T}\!\mid\, =\mathrm{a}=11$| | |$\mid\! \mathrm{Y}\cap \mathrm{T}\!\mid\, =\mathrm{b}=14$| | |$\mid\! \mathrm{T}-\mathrm{Y}\!\mid\, =\mathrm{c}=2$| | |$\mid\! \mathbf{C}-\left(\mathrm{Y}\cup \mathrm{T}\right)\!\mid\, =\mathrm{d}=5$| | |
5 | |${\mathrm{d}}^{\mathrm{p}}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\mathrm{a}/\left(\mathrm{a}+\mathrm{b}\right)=11/25$| | |||
6 | |${\mathrm{d}}^{\#\#}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\mathrm{a}/\left(\mathrm{a}+2\mathrm{b}\right)=11/39$| | |||
7 | |${\mathrm{d}}^{\Delta}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\left(\mathrm{a}+\mathrm{c}\right)/\left(\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}\right)=13/32$| |
. | 1 . | 2 . | 3 . | 4 . | 5 . |
---|---|---|---|---|---|
1 | Y-T (size a) | Y∩T (size b) | T-Y (size c) | C-(Y∪T) (size d) | |
2 | a5 = 1 | 2, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16 | 1, 3, 4, 5, 11 | ||
3 | a5 = 0 | 2, 6, 7, 8, 12, 13, 14, 15, 16 | 9, 10 | 1, 3, 4, 5, 11 | |
4 | |$\mid\! \mathrm{Y}-\mathrm{T}\!\mid\, =\mathrm{a}=11$| | |$\mid\! \mathrm{Y}\cap \mathrm{T}\!\mid\, =\mathrm{b}=14$| | |$\mid\! \mathrm{T}-\mathrm{Y}\!\mid\, =\mathrm{c}=2$| | |$\mid\! \mathbf{C}-\left(\mathrm{Y}\cup \mathrm{T}\right)\!\mid\, =\mathrm{d}=5$| | |
5 | |${\mathrm{d}}^{\mathrm{p}}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\mathrm{a}/\left(\mathrm{a}+\mathrm{b}\right)=11/25$| | |||
6 | |${\mathrm{d}}^{\#\#}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\mathrm{a}/\left(\mathrm{a}+2\mathrm{b}\right)=11/39$| | |||
7 | |${\mathrm{d}}^{\Delta}\left(\mathrm{Y},\mathrm{T}\right)$| | |$\left(\mathrm{a}+\mathrm{c}\right)/\left(\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}\right)=13/32$| |
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