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Viewing Version
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'conjunction'
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| Title of object: |
conjunction |
| Canonical Name: |
Conjunction |
| Type: |
Definition |
| Created on: |
2001-10-26 06:58:06 |
| Modified on: |
2007-07-09 13:57:18 |
| Classification: |
msc:03-00 |
| Synonyms: |
conjunction=logical and
conjunction=conjunctive truth function |
Revision comment (for changes between this and next version):
| Changes for correction #12796 ('spelling'). |
Preamble:
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage{graphicx}
\usepackage{xypic} |
Content:
A conjunction is true only when both parameters (called conjuncts) are true. In English, conjunction is denoted by the word ``and''. Symbolically, we represent it as $\land$ or multiplication applied to Boolean parameters. Conjunction of $a$ and $b$ would be written $$a \land b$$ or, in algebraic context, $$ a \cdot b $$ or $$ ab $$ The truth table for conjuction is
\begin{center}
\begin{tabular}{ccc}
$a$ & $b$ & $a \land b$ \\
\hline
F & F & F \\
F & T & F \\
T & F & F \\
T & T & T
\end{tabular}
\end{center} |
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