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查看“︁模板:逻辑联结词”︁的源代码
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模板:逻辑联结词
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{| class='wikitable' style='text-align:center;margin:0 auto;border-width:2px' width='100%' |- ! colspan=19 style='border-bottom-width:2px' | 逻辑联结词 |- ! colspan=19 style='border-top-width:2px' | 零元 |- ! rowspan=2 colspan=3 | 真值表 ! colspan=8 | <math>\bot</math> ! colspan=8 | <math>\top</math> |- | colspan=8 style='background-color: rgba(0,255,0,0.1)' | T | colspan=8 style='background-color: rgba(255,0,0,0.1)' | F |- ! colspan=3 | 名称 | colspan=8 | [[真|真 <math>\top</math>]] | colspan=8 | [[假|假 <math>\bot</math>]] |- ! colspan=3 | 二进制编号 | colspan=8 | 0 | colspan=8 | 1 |- ! colspan=3 | 编号 | colspan=8 | 0 | colspan=8 | 1 |- ! colspan=19 style='border-top-width:2px' | 一元 |- ! rowspan=3 | 真值表 ! colspan=2 | <math>p</math> ! colspan=4 | <math>\bot</math> ! colspan=4 | <math>\lnot p</math> ! colspan=4 | <math>p</math> ! colspan=4 | <math>\top</math> |- | colspan=2 style='background-color: rgba(0,255,0,0.1)' | T | colspan=8 style='background-color: rgba(255,0,0,0.1)' | F | colspan=8 style='background-color: rgba(0,255,0,0.1)' | T |- | colspan=2 style='background-color: rgba(255,0,0,0.1)' | F | colspan=4 style='background-color: rgba(255,0,0,0.1)' | F | colspan=4 style='background-color: rgba(0,255,0,0.1)' | T | colspan=4 style='background-color: rgba(255,0,0,0.1)' | F | colspan=4 style='background-color: rgba(0,255,0,0.1)' | T |- ! colspan=3 | 名称 | colspan=4 | [[假|假 <math>\bot</math>]] | colspan=4 | [[否定|否定(非) <math>\lnot</math>]] | colspan=4 | [[恒等映射|(恒等映射 <math>\mathrm{id}</math>)]] | colspan=4 | [[真|真 <math>\top</math>]] |- ! colspan=3 | 缩写 | colspan=4 | - | colspan=4 | NOT | colspan=4 | - | colspan=4 | - |- ! colspan=3 | 二进制编号 | colspan=4 | 00 | colspan=4 | 01 | colspan=4 | 10 | colspan=4 | 11 |- ! colspan=3 | 编号 | colspan=4 | 0 | colspan=4 | 1 | colspan=4 | 2 | colspan=4 | 3 |- ! colspan=19 style='border-top-width:2px' | 二元 |- ! rowspan=5 | 真值表 ! <math>p</math> ! <math>q</math> ! <math>\bot</math> ! <math>p \bar{\vee} q</math> <br/> <math>p \downarrow q</math> ! <math>p \nleftarrow q</math> ! <math>\lnot p</math> ! <math>p \nrightarrow q</math> ! <math>\lnot q</math> ! <math>p \oplus q</math> <br/> <math>p \nleftrightarrow q</math> ! <math>p \barwedge q</math> <br/> <math>p \uparrow q</math> ! <math>p \land q</math> ! <math>p \leftrightarrow q</math> ! <math>q</math> ! <math>p \rightarrow q</math> ! <math>p</math> ! <math>p \leftarrow q</math> ! <math>p \lor q</math> ! <math>\top</math> |- | rowspan=2 style='background-color: rgba(0,255,0,0.1)' | T | style='background-color: rgba(0,255,0,0.1)' | T | colspan=8 style='background-color: rgba(255,0,0,0.1)' | F | colspan=8 style='background-color: rgba(0,255,0,0.1)' | T |- | style='background-color: rgba(255,0,0,0.1)' | F | colspan=4 style='background-color: rgba(255,0,0,0.1)' | F | colspan=4 style='background-color: rgba(0,255,0,0.1)' | T | colspan=4 style='background-color: rgba(255,0,0,0.1)' | F | colspan=4 style='background-color: rgba(0,255,0,0.1)' | T |- | rowspan=2 style='background-color: rgba(255,0,0,0.1)' | F | style='background-color: rgba(0,255,0,0.1)' | T | colspan=2 style='background-color: rgba(255,0,0,0.1)' | F | colspan=2 style='background-color: rgba(0,255,0,0.1)' | T | colspan=2 style='background-color: rgba(255,0,0,0.1)' | F | colspan=2 style='background-color: rgba(0,255,0,0.1)' | T | colspan=2 style='background-color: rgba(255,0,0,0.1)' | F | colspan=2 style='background-color: rgba(0,255,0,0.1)' | T | colspan=2 style='background-color: rgba(255,0,0,0.1)' | F | colspan=2 style='background-color: rgba(0,255,0,0.1)' | T |- | style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(0,255,0,0.1)' | T | colspan=1 style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(0,255,0,0.1)' | T | colspan=1 style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(0,255,0,0.1)' | T | colspan=1 style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(0,255,0,0.1)' | T | colspan=1 style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(0,255,0,0.1)' | T | colspan=1 style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(0,255,0,0.1)' | T | colspan=1 style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(0,255,0,0.1)' | T | colspan=1 style='background-color: rgba(255,0,0,0.1)' | F | colspan=1 style='background-color: rgba(0,255,0,0.1)' | T |- ! colspan=3 | 名称 | [[假|假 <br/> <math>\bot</math>]] | [[或非|或非 <br/> <math>\downarrow</math>/<math>\bar{\vee}</math>]] | - | [[否定|否定 <br/> 非 <br/> <math>\lnot</math>]] | - | [[否定|否定 <br/> 非 <br/> <math>\lnot</math>]] | [[互斥析取|互斥析取 <br/> 异或 <br/> <math>\oplus</math>/<math>\nleftrightarrow</math>/<math>\veebar</math>]] | [[与非|与非 <br/> <math>\uparrow</math>/<math>\barwedge</math>]] | [[合取|合取 <br/> 且/与 <br/> <math>\land</math>]] | [[等价(逻辑)|等价 <br/> 当且仅当 <br/> <math>\leftrightarrow</math>]] | [[投影映射|投影映射 <br/> <math>\mathrm{proj}_2</math>]] | [[蕴涵|蕴涵 <br/> 推出 <br/> <math>\rightarrow</math>]] | [[投影映射|投影映射 <br/> <math>\mathrm{proj}_1</math>]] | - | [[析取|析取 <br/> 或 <br/> <math>\lor</math>]] | [[真|真 <br/> <math>\top</math>]] |- ! colspan=3 | 缩写 | - | NOR | - | NOT | NIMPLY | NOT | XOR | NAND | AND | XNOR <br/> EQV | - | IMPLY | - | - | OR | - |- ! colspan=3 | 二进制编号 | <small>0000</small> | <small>0001</small> | <small>0010</small> | <small>0011</small> | <small>0100</small> | <small>0101</small> | <small>0110</small> | <small>0111</small> | <small>1000</small> | <small>1001</small> | <small>1010</small> | <small>1011</small> | <small>1100</small> | <small>1101</small> | <small>1110</small> | <small>1111</small> |- ! colspan=3 | 编号 | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |}
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