MyWikiBiz, Author Your Legacy — Friday November 22, 2024
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, 19:22, 17 January 2008
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| | ''e''<sub>1</sub> ''e''<sub>2</sub> ''e''<sub>3</sub> | | | ''e''<sub>1</sub> ''e''<sub>2</sub> ''e''<sub>3</sub> |
| | means | | | means |
− | | ''e''<sub>1</sub> and ''e''<sub>2</sub> and ''e''<sub>3</sub>. | + | | ''e''<sub>1</sub> and ''e''<sub>2</sub> and ''e''<sub>3</sub> . |
| |} | | |} |
| | | |
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| | (''e''<sub>1</sub>) | | | (''e''<sub>1</sub>) |
| | means | | | means |
− | | not ''e''<sub>1</sub>. | + | | not ''e''<sub>1</sub> . |
| | | | | |
| |- | | |- |
− | | (''e''<sub>1</sub>, ''e''<sub>2</sub>) | + | | (''e''<sub>1</sub> , ''e''<sub>2</sub>) |
| | means | | | means |
− | | ''e''<sub>1</sub> xor ''e''<sub>2</sub>, | + | | ''e''<sub>1</sub> xor ''e''<sub>2</sub> , |
− | | ''e''<sub>1</sub> + ''e''<sub>2</sub>, | + | | ''e''<sub>1</sub> + ''e''<sub>2</sub> , |
| |- | | |- |
| | | | | |
| | or | | | or |
− | | ''e''<sub>1</sub> neq ''e''<sub>2</sub>, | + | | ''e''<sub>1</sub> neq ''e''<sub>2</sub> , |
− | | ''e''<sub>1</sub> ≠ ''e''<sub>2</sub>. | + | | ''e''<sub>1</sub> ≠ ''e''<sub>2</sub> . |
| |} | | |} |
| | | |
| A remaining sample of typical expressions will finish illustrating the use of this calculus. | | A remaining sample of typical expressions will finish illustrating the use of this calculus. |
| | | |
− | <pre> | + | :{| cellpadding="4" |
− | (e1 (e2)) means "e1 => e2",
| + | | (''e''<sub>1</sub> (''e''<sub>2</sub>)) |
− | | + | | means |
− | or "if e1 then e2",
| + | | ''e''<sub>1</sub> ⇒ ''e''<sub>2</sub> , |
− | | + | |- |
− | or "not e1 without e2".
| + | | |
− | | + | | i.e. |
− | ((e1)(e2)(e3)) means "e1 or e2 or e3".
| + | | if ''e''<sub>1</sub> then ''e''<sub>2</sub> , |
− | | + | |- |
− | (e1,(e2,e3)) means "e1 + e2 + e3".
| + | | |
− | </pre> | + | | i.e. |
| + | | not ''e''<sub>1</sub> without ''e''<sub>2</sub> . |
| + | |- |
| + | | ((''e''<sub>1</sub>)(''e''<sub>2</sub>)(''e''<sub>3</sub>)) |
| + | | means |
| + | | ''e''<sub>1</sub> or ''e''<sub>2</sub> or ''e''<sub>3</sub> . |
| + | |- |
| + | | (''e''<sub>1</sub> , (''e''<sub>2</sub> , ''e''<sub>3</sub>)) |
| + | | means |
| + | | ''e''<sub>1</sub> + ''e''<sub>2</sub> + ''e''<sub>3</sub> . |
| + | |} |
| | | |
| =====3.1.1.2. Partitions : Genus and Species===== | | =====3.1.1.2. Partitions : Genus and Species===== |