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Revision as of 18:48, 13 July 2008
, 18:48, 13 July 2008→The Extended Universe of Discourse: dupe model table
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|+ '''Table 2. Propositional Calculus : Basic Notation'''
|- style="background:ghostwhite"
! Symbol
! Notation
! Description
! Type
|-
| <math>\mathfrak{A}</math>
| <math>\lbrace\!</math> “<math>a_1\!</math>” <math>, \ldots,\!</math> “<math>a_n\!</math>” <math>\rbrace\!</math>
| <math>\operatorname{Alphabet}</math>
| <math>[n] = \mathbf{n}</math>
|-
| <math>\mathcal{A}</math>
| <math>\{a_1, \ldots, a_n\}</math>
| <math>\operatorname{Basis}</math>
| <math>[n] = \mathbf{n}</math>
|-
| <math>A_i\!</math>
| <math>\{(a_i), a_i\}\!</math>
| <math>\operatorname{Dimension}\ i</math>
| <math>\mathbb{B}</math>
|-
| <math>A\!</math>
|
<p><math>\langle \mathcal{A} \rangle</math></p>
<p><math>\langle a_1, \ldots, a_n \rangle</math></p>
<p><math>\{(a_1, \ldots, a_n)\}</math></p>
<p><math>A_1 \times \ldots \times A_n</math></p>
<p><math>\textstyle \prod_{i=1}^n A_i</math></p>
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<p><math>\operatorname{Set~of~cells},</math></p>
<p><math>\operatorname{coordinate~tuples},</math></p>
<p><math>\operatorname{points,~or~vectors}</math></p>
<p><math>\operatorname{in~the~universe}</math></p>
<p><math>\operatorname{of~discourse}</math></p>
| <math>\mathbb{B}^n</math>
|-
| <math>A^*\!</math>
| <math>(\operatorname{hom} : A \to \mathbb{B})</math>
| <math>\operatorname{Linear~functions}</math>
| <math>(\mathbb{B}^n)^* \cong \mathbb{B}^n</math>
|-
| <math>A^\uparrow</math>
| <math>(A \to \mathbb{B})</math>
| <math>\operatorname{Boolean~functions}</math>
| <math>\mathbb{B}^n \to \mathbb{B}</math>
|-
| <math>A^\circ</math>
|
<p><math>[\mathcal{A}]</math></p>
<p><math>(A, A^\uparrow)</math></p>
<p><math>(A\ +\!\to \mathbb{B})</math></p>
<p><math>(A, (A \to \mathbb{B}))</math></p>
<p><math>[a_1, \ldots, a_n]</math></p>
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<p><math>\operatorname{Universe~of~discourse}</math></p>
<p><math>\operatorname{based~on~the~features}</math></p>
<p><math>\{a_1, \ldots, a_n\}</math></p>
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<p><math>(\mathbb{B}^n, (\mathbb{B}^n \to \mathbb{B}))</math></p>
<p><math>(\mathbb{B}^n\ +\!\to \mathbb{B})</math></p>
<p><math>[\mathbb{B}^n]</math></p>
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{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:left; width:96%"
{| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:left; width:96%"
