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, 17:45, 27 April 2013
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| ===Additional evaluation rules=== | | ===Additional evaluation rules=== |
| + | |
| + | Three immediate corollaries of the fundamental evaluation rule are listed below for future reference. |
| + | |
| + | {| align="center" cellpadding="8" style="text-align:center; width:90%" |
| + | | |
| + | <pre> |
| + | o-----------------------------------------------------------o |
| + | | Emptiness Rule | |
| + | o-----------------------------------------------------------o |
| + | | | |
| + | | o o---o o-o-o | |
| + | | | \ / \ / | |
| + | | @ = @ = @ = ... | |
| + | | | |
| + | o-----------------------------------------------------------o |
| + | </pre> |
| + | | (23a) |
| + | |} |
| + | |
| + | {| align="center" cellpadding="8" style="text-align:center; width:90%" |
| + | | |
| + | <pre> |
| + | o-----------------------------------------------------------o |
| + | | Indistinctness Rule | |
| + | o-----------------------------------------------------------o |
| + | | | |
| + | | a a a a a | |
| + | | o o---o o-o-o | |
| + | | | \ / \ / | |
| + | | @ = @ = @ = ... | |
| + | | | |
| + | o-----------------------------------------------------------o |
| + | </pre> |
| + | | (23b) |
| + | |} |
| + | |
| + | {| align="center" cellpadding="8" style="text-align:center; width:90%" |
| + | | |
| + | <pre> |
| + | o-----------------------------------------------------------o |
| + | | Evaluation Rule | |
| + | o-----------------------------------------------------------o |
| + | | | |
| + | | o | |
| + | | | x_2 ... x_k | |
| + | | o---o-...-o---o | |
| + | | \ / | |
| + | | \ / | |
| + | | \ / | |
| + | | \ / | |
| + | | \ / | |
| + | | \ / x_2 ... x_k | |
| + | | @ = @ | |
| + | | | |
| + | o-----------------------------------------------------------o |
| + | | | |
| + | | ((), x_2, ..., x_k) = x_2 ... x_k | |
| + | | | |
| + | o-----------------------------------------------------------o |
| + | | Setup <---- | ----> Spike | |
| + | o-----------------------------------------------------------o |
| + | </pre> |
| + | | (23c) |
| + | |} |
| | | |
| ==Case analysis-synthesis theorem== | | ==Case analysis-synthesis theorem== |