Difference between revisions of "User talk:Jon Awbrey/SYMBOL"

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==Formula Help==
 
  
* [http://meta.wikimedia.org/wiki/Help:Displaying_a_formula Mathematical formulas]
 
* [http://en.wikipedia.org/wiki/Wikipedia:Mathematical_symbols Mathematical symbols]
 
 
==Bytes & Parses==
 
 
{| style="width:50%"
 
| ∈
 
| ∈
 
|-
 
| ε
 
| ε
 
|-
 
| <nowiki><math>\in</math></nowiki>
 
| <math>\in</math>
 
|-
 
| <nowiki><math>\in\!</math></nowiki>
 
| <math>\in\!</math>
 
|-
 
| <nowiki><math>\epsilon</math></nowiki>
 
| <math>\epsilon</math>
 
|-
 
| <nowiki><math>\epsilon\!</math></nowiki>
 
| <math>\epsilon\!</math>
 
|-
 
| <nowiki><math>\varepsilon</math></nowiki>
 
| <math>\varepsilon</math>
 
|-
 
| <nowiki><math>\varepsilon\!</math></nowiki>
 
| <math>\varepsilon\!</math>
 
|}
 
<br>
 
 
{| style="width:50%"
 
| &amp;eta;
 
| &eta;
 
|-
 
| <nowiki><math>\eta</math></nowiki>
 
| <math>\eta</math>
 
|-
 
| <nowiki><math>\eta\!</math></nowiki>
 
| <math>\eta\!</math>
 
|}
 
<br>
 
 
{| style="width:50%"
 
| &amp;theta;
 
| &theta;
 
|-
 
| <nowiki><math>\theta</math></nowiki>
 
| <math>\theta</math>
 
|-
 
| <nowiki><math>\theta\!</math></nowiki>
 
| <math>\theta\!</math>
 
|-
 
| <nowiki><math>\vartheta</math></nowiki>
 
| <math>\vartheta</math>
 
|-
 
| <nowiki><math>\vartheta\!</math></nowiki>
 
| <math>\vartheta\!</math>
 
|}
 
<br>
 
 
{| style="width:50%"
 
| &amp;chi;
 
| &chi;
 
|-
 
| <nowiki><math>\chi</math></nowiki>
 
| <math>\chi</math>
 
|-
 
| <nowiki><math>\chi\!</math></nowiki>
 
| <math>\chi\!</math>
 
|}
 
<br>
 
 
''x'' = ''x''<sub>''J''</sub> = ¢(''J'') = ''J''¢ = ''J''&nbsp;¢ = ''J''<sup>¢</sup> = ''J''<sup>&nbsp;¢</sup>
 
 
''x'' = ''x''<sub>''J''</sub> = &cent;(''J'') = ''J''&cent; = ''J''&nbsp;&cent; = ''J''<sup>&cent;</sup> = ''J''<sup>&nbsp;&cent;</sup>
 
 
==Display==
 
 
===New===
 
 
:{| cellpadding=1 style="height:40px"
 
| <font face=georgia>'''W'''</font>
 
| :
 
| (
 
| [
 
| '''B'''<sup>''n''</sup>
 
| ]
 
| &rarr;
 
| [
 
| '''B'''<sup>''k''</sup>
 
| ]
 
| )
 
| &nbsp;
 
| &rarr;
 
| &nbsp;
 
| (
 
| [
 
| '''B'''<sup>''n''</sup>
 
| &times;
 
| '''D'''<sup>''n''</sup>
 
| ]
 
| &rarr;
 
| [
 
| '''B'''<sup>''k''</sup>
 
| &times;
 
| '''D'''<sup>''k''</sup>
 
| ]
 
| )
 
| .
 
|}
 
 
:{| style="height:80px; text-align:center; width:90%"
 
| align=left width=20%| Concrete type
 
| width=8% | <math>\epsilon</math>
 
| :
 
| (
 
| ''U''<sup>&bull;</sup>
 
| &rarr;
 
| ''X''<sup>&bull;</sup>
 
| )
 
| width=16% | &rarr;
 
| (
 
| E''U''<sup>&bull;</sup>
 
| &rarr;
 
| ''X''<sup>&bull;</sup>
 
| )
 
|-
 
| align=left width=20%| Abstract type
 
| width=8% | <math>\epsilon</math>
 
| :
 
| (
 
| ['''B'''<sup>''n''</sup>]
 
| &rarr;
 
| ['''B'''<sup>''k''</sup>]
 
| )
 
| width=16% | &rarr;
 
| (
 
| ['''B'''<sup>''n''</sup> &times; '''D'''<sup>''n''</sup>]
 
| &rarr;
 
| ['''B'''<sup>''k''</sup>]
 
| )
 
|}
 
 
:{| style="height:80px; text-align:center; width:90%"
 
| align=left width=20%| Concrete type
 
| width=8% | W
 
| :
 
| (
 
| ''U''<sup>&bull;</sup>
 
| &rarr;
 
| ''X''<sup>&bull;</sup>
 
| )
 
| width=16% | &rarr;
 
| (
 
| E''U''<sup>&bull;</sup>
 
| &rarr;
 
| d''X''<sup>&bull;</sup>
 
| )
 
|-
 
| align=left width=20%| Abstract type
 
| width=8% | W
 
| :
 
| (
 
| ['''B'''<sup>''n''</sup>]
 
| &rarr;
 
| ['''B'''<sup>''k''</sup>]
 
| )
 
| width=16% | &rarr;
 
| (
 
| ['''B'''<sup>''n''</sup> &times; '''D'''<sup>''n''</sup>]
 
| &rarr;
 
| ['''D'''<sup>''k''</sup>]
 
| )
 
|}
 
 
:{| style="height:80px; text-align:center; width:90%"
 
| width=6% | <math>\epsilon</math>''F''
 
| width=2% | :
 
| width=2% | (
 
| width=8% | E''U''<sup>&bull;</sup>
 
| width=4% | &rarr;
 
| width=8% | ''X''<sup>&bull;</sup>
 
| width=4% | &sube;
 
| width=8% | E''X''<sup>&bull;</sup>
 
| width=2% | )
 
| width=4% | <math>\cong</math>
 
| width=2% | (
 
| width=16% | ['''B'''<sup>''n''</sup> &times; '''D'''<sup>''n''</sup>]
 
| width=4% | &rarr;
 
| width=8% | ['''B'''<sup>''k''</sup>]
 
| width=4% | &sube;
 
| width=16% | ['''B'''<sup>''k''</sup> &times; '''D'''<sup>''k''</sup>]
 
| width=2% | )
 
|-
 
| width=6% | W''F''
 
| width=2% | :
 
| width=2% | (
 
| width=8% | E''U''<sup>&bull;</sup>
 
| width=4% | &rarr;
 
| width=8% | d''X''<sup>&bull;</sup>
 
| width=4% | &sube;
 
| width=8% | E''X''<sup>&bull;</sup>
 
| width=2% | )
 
| width=4% | <math>\cong</math>
 
| width=2% | (
 
| width=16% | ['''B'''<sup>''n''</sup> &times; '''D'''<sup>''n''</sup>]
 
| width=4% | &rarr;
 
| width=8% | ['''D'''<sup>''k''</sup>]
 
| width=4% | &sube;
 
| width=16% | ['''B'''<sup>''k''</sup> &times; '''D'''<sup>''k''</sup>]
 
| width=2% | )
 
|}
 
 
===Old===
 
 
:{| cellpadding=1 style="height:40px"
 
| <font face=georgia>'''W'''</font>
 
| :
 
| (
 
| [
 
| '''B'''<sup>''n''</sup>
 
| ]
 
| &rarr;
 
| [
 
| '''B'''<sup>''k''</sup>
 
| ]
 
| )
 
| &nbsp;
 
| &rarr;
 
| &nbsp;
 
| (
 
| [
 
| '''B'''<sup>''n''</sup>
 
| &times;
 
| '''D'''<sup>''n''</sup>
 
| ]
 
| &rarr;
 
| [
 
| '''B'''<sup>''k''</sup>
 
| &times;
 
| '''D'''<sup>''k''</sup>
 
| ]
 
| )
 
| .
 
|}
 
 
:{| style="height:80px; text-align:center; width:90%"
 
| align=left width=20%| Concrete type
 
| width=4% | <math>\epsilon</math>
 
| width=2% | :
 
| width=2% | (
 
| width=8% | ''U''<sup>&bull;</sup>
 
| width=4% | &rarr;
 
| width=8% | ''X''<sup>&bull;</sup>
 
| width=2% | )
 
| width=8% | &rarr;
 
| width=2% | (
 
| width=16% | E''U''<sup>&bull;</sup>
 
| width=4% | &rarr;
 
| width=8% | ''X''<sup>&bull;</sup>
 
| width=2% | )
 
|-
 
| align=left width=20%| Abstract type
 
| width=4% | <math>\epsilon</math>
 
| width=2% | :
 
| width=2% | (
 
| width=8% | ['''B'''<sup>''n''</sup>]
 
| width=4% | &rarr;
 
| width=8% | ['''B'''<sup>''k''</sup>]
 
| width=2% | )
 
| width=8% | &rarr;
 
| width=2% | (
 
| width=16% | ['''B'''<sup>''n''</sup> &times; '''D'''<sup>''n''</sup>]
 
| width=4% | &rarr;
 
| width=8% | ['''B'''<sup>''k''</sup>]
 
| width=2% | )
 
|}
 
 
:{| style="height:80px; text-align:center; width:90%"
 
| align=left width=20%| Concrete type
 
| width=4% | W
 
| width=2% | :
 
| width=2% | (
 
| width=8% | ''U''<sup>&bull;</sup>
 
| width=4% | &rarr;
 
| width=8% | ''X''<sup>&bull;</sup>
 
| width=2% | )
 
| width=8% | &rarr;
 
| width=2% | (
 
| width=16% | E''U''<sup>&bull;</sup>
 
| width=4% | &rarr;
 
| width=8% | d''X''<sup>&bull;</sup>
 
| width=2% | )
 
|-
 
| align=left width=20%| Abstract type
 
| width=4% | W
 
| width=2% | :
 
| width=2% | (
 
| width=8% | ['''B'''<sup>''n''</sup>]
 
| width=4% | &rarr;
 
| width=8% | ['''B'''<sup>''k''</sup>]
 
| width=2% | )
 
| width=8% | &rarr;
 
| width=2% | (
 
| width=16% | ['''B'''<sup>''n''</sup> &times; '''D'''<sup>''n''</sup>]
 
| width=4% | &rarr;
 
| width=8% | ['''D'''<sup>''k''</sup>]
 
| width=2% | )
 
|}
 
 
:{| style="height:80px; text-align:center; width:90%"
 
| width=6% | <math>\epsilon</math>''F''
 
| width=2% | :
 
| width=2% | (
 
| width=8% | E''U''<sup>&bull;</sup>
 
| width=4% | &rarr;
 
| width=8% | ''X''<sup>&bull;</sup>
 
| width=4% | &sube;
 
| width=8% | E''X''<sup>&bull;</sup>
 
| width=2% | )
 
| width=4% | <math>\cong</math>
 
| width=2% | (
 
| width=16% | ['''B'''<sup>''n''</sup> &times; '''D'''<sup>''n''</sup>]
 
| width=4% | &rarr;
 
| width=8% | ['''B'''<sup>''k''</sup>]
 
| width=4% | &sube;
 
| width=16% | ['''B'''<sup>''k''</sup> &times; '''D'''<sup>''k''</sup>]
 
| width=2% | )
 
|-
 
| width=6% | W''F''
 
| width=2% | :
 
| width=2% | (
 
| width=8% | E''U''<sup>&bull;</sup>
 
| width=4% | &rarr;
 
| width=8% | d''X''<sup>&bull;</sup>
 
| width=4% | &sube;
 
| width=8% | E''X''<sup>&bull;</sup>
 
| width=2% | )
 
| width=4% | <math>\cong</math>
 
| width=2% | (
 
| width=16% | ['''B'''<sup>''n''</sup> &times; '''D'''<sup>''n''</sup>]
 
| width=4% | &rarr;
 
| width=8% | ['''D'''<sup>''k''</sup>]
 
| width=4% | &sube;
 
| width=16% | ['''B'''<sup>''k''</sup> &times; '''D'''<sup>''k''</sup>]
 
| width=2% | )
 
|}
 
 
==Epitext==
 
 
{| cellpadding=12 style="height:100px; width:100%; text-align:left"
 
|-
 
| <font color=red size="7">'''''Rosebud'''''</font>
 
|}
 
 
{| cellpadding=12 style="height:100px; width:100%; text-align:center"
 
|-
 
| <font color=red size="7">'''''Rosebud'''''</font>
 
|}
 
 
{| cellpadding=12 style="height:100px; width:100%; text-align:right"
 
|-
 
| <font color=red size="7">'''''Rosebud'''''</font>
 
|}
 
 
==Gallery==
 
 
<center>
 
<font size=7>’</font>
 
 
<font size=7>`´</font>
 
 
<font size=7>&prime;</font>
 
 
‹ ›
 
 
〈 〉
 
 
<font face=system>( )</font>
 
 
<font face=system>(</font> , <font face=system>)</font>
 
</center>
 
 
 
{| border=1 cellpadding=10 cellspacing=2 width=100%
 
| <font face="lucida calligraphy">A</font> = {''a''<sub>''i''</sub>} = {''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''a''<sub>''n''</sub>}
 
|-
 
| ''A'' = 〈<font face="lucida calligraphy">A</font>〉 = 〈''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''a''<sub>''n''</sub>〉= {‹''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''a''<sub>''n''</sub>›}
 
|-
 
| ''A''^ = (''A''&nbsp;&rarr;&nbsp;'''B''')
 
|-
 
| ''A''<sup>&bull;</sup> = [<font face="lucida calligraphy">A</font>] = [''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''a''<sub>''n''</sub>]
 
|}
 
<br>
 
 
{| border=1 cellpadding=10 cellspacing=2 width=100%
 
| d<font face="lucida calligraphy">A</font> = {d''a''<sub>''i''</sub>} = {d''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''a''<sub>''n''</sub>}
 
|-
 
| d''A'' = 〈d<font face="lucida calligraphy">A</font>〉 = 〈d''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''a''<sub>''n''</sub>〉= {‹d''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''a''<sub>''n''</sub>›}
 
|-
 
| d''A''^ = (d''A''&nbsp;&rarr;&nbsp;'''B''')
 
|-
 
| d''A''<sup>&bull;</sup> = [d<font face="lucida calligraphy">A</font>] = [d''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''a''<sub>''n''</sub>]
 
|}
 
<br>
 
 
{| border=1 cellpadding=10 cellspacing=2 width=100%
 
| E<font face="lucida calligraphy">A</font> = <font face="lucida calligraphy">A</font> &cup; d<font face="lucida calligraphy">A</font> = {''a''<sub>''i''</sub>} &cup; {d''a''<sub>''i''</sub>} = {''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''a''<sub>''n''</sub>,&nbsp;d''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''a''<sub>''n''</sub>}
 
|-
 
| E''A'' = 〈E<font face="lucida calligraphy">A</font>〉 = 〈''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''a''<sub>''n''</sub>,&nbsp;d''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''a''<sub>''n''</sub>〉= {‹''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''a''<sub>''n''</sub>,&nbsp;d''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''a''<sub>''n''</sub>›}
 
|-
 
| E''A''^ = (E''A''&nbsp;&rarr;&nbsp;'''B''')
 
|-
 
| E''A''<sup>&bull;</sup> = [E<font face="lucida calligraphy">A</font>] = [''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''a''<sub>''n''</sub>,&nbsp;d''a''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''a''<sub>''n''</sub>]
 
|}
 
<br>
 
 
{| border=1 cellpadding=10 cellspacing=2 width=100%
 
| <font face="lucida calligraphy">X</font> = {''x''<sub>''i''</sub>} = {''x''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''x''<sub>''n''</sub>}
 
|-
 
| ''X'' = 〈<font face="lucida calligraphy">X</font>〉 = 〈''x''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''x''<sub>''n''</sub>〉= {‹''x''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''x''<sub>''n''</sub>›}
 
|-
 
| ''X''^ = (''X''&nbsp;&rarr;&nbsp;'''B''')
 
|-
 
| ''X''<sup>&bull;</sup> = [<font face="lucida calligraphy">X</font>] = [''x''<sub>1</sub>,&nbsp;&hellip;,&nbsp;''x''<sub>''n''</sub>]
 
|}
 
<br>
 
 
{| border=1 cellpadding=10 cellspacing=2 width=100%
 
| d<font face="lucida calligraphy">X</font> = {d''x''<sub>''i''</sub>} = {d''x''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''x''<sub>''n''</sub>}
 
|-
 
| d''X'' = 〈d<font face="lucida calligraphy">X</font>〉 = 〈d''x''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''x''<sub>''n''</sub>〉= {‹d''x''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''x''<sub>''n''</sub>›}
 
|-
 
| d''X''^ = (d''X''&nbsp;&rarr;&nbsp;'''B''')
 
|-
 
| d''X''<sup>&bull;</sup> = [d<font face="lucida calligraphy">X</font>] = [d''x''<sub>1</sub>,&nbsp;&hellip;,&nbsp;d''x''<sub>''n''</sub>]
 
|}
 
<br>
 
 
{| border=1 cellpadding=10 cellspacing=2 width=100%
 
| <font face="lucida calligraphy"><u>X</u></font> = {<u>''x''</u><sub>''i''</sub>} = {<u>''x''</u><sub>1</sub>,&nbsp;&hellip;,&nbsp;<u>''x''</u><sub>''n''</sub>}
 
|-
 
| <u>''X''</u> = 〈<font face="lucida calligraphy"><u>X</u></font>〉 = 〈<u>''x''</u><sub>1</sub>,&nbsp;&hellip;,&nbsp;<u>''x''</u><sub>''n''</sub>〉= {‹<u>''x''</u><sub>1</sub>,&nbsp;&hellip;,&nbsp;<u>''x''</u><sub>''n''</sub>›}
 
|-
 
| <u>''X''</u>^ = (<u>''X''</u>&nbsp;&rarr;&nbsp;'''B''')
 
|-
 
| <u>''X''</u><sup>&bull;</sup> = [<font face="lucida calligraphy"><u>X</u></font>] = [<u>''x''</u><sub>1</sub>,&nbsp;&hellip;,&nbsp;<u>''x''</u><sub>''n''</sub>]
 
|}
 
<br>
 
 
''f''&nbsp;:&nbsp;'''B'''<sup>''k''</sup>&nbsp;&rarr;&nbsp;'''B'''
 
 
''f''&nbsp;:&nbsp;'''B'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''B'''
 
 
''f''<sup>&ndash;1</sup>
 
 
<font face="lucida calligraphy">Pow</font>(''X'') = 2<sup>''X''</sup>
 
 
{| cellpadding=6
 
| Arbitrary
 
| &rarr;
 
| '''B'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''B'''
 
| ''X''&nbsp;&rarr;&nbsp;'''B'''
 
|-
 
| Basic
 
| <font face=symbol>'''¸>'''</font>
 
| '''B'''<sup>''n''</sup>&nbsp;<font face=symbol>'''¸>'''</font>&nbsp;'''B'''
 
| ''X''&nbsp;<font face=symbol>'''¸>'''</font>&nbsp;'''B'''
 
|-
 
| Linear
 
| <font face=symbol>'''+>'''</font>
 
| '''B'''<sup>''n''</sup>&nbsp;<font face=symbol>'''+>'''</font>&nbsp;'''B'''
 
| ''X''&nbsp;<font face=symbol>'''+>'''</font>&nbsp;'''B'''
 
|-
 
| Positive
 
| <font face=symbol>'''¥>'''</font>
 
| '''B'''<sup>''n''</sup>&nbsp;<font face=symbol>'''¥>'''</font>&nbsp;'''B'''
 
| ''X''&nbsp;<font face=symbol>'''¥>'''</font>&nbsp;'''B'''
 
|-
 
| Singular
 
| <font face=symbol>'''××>'''</font>
 
| '''B'''<sup>''n''</sup>&nbsp;<font face=symbol>'''××>'''</font>&nbsp;'''B'''
 
| ''X''&nbsp;<font face=symbol>'''××>'''</font>&nbsp;'''B'''
 
|}
 
 
The ''linear propositions'', {hom&nbsp;:&nbsp;'''B'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''B'''} = ('''B'''<sup>''n''</sup>&nbsp;<font face=symbol>'''+>'''</font>&nbsp;'''B'''), may be expressed as sums of the following form:
 
 
: <math>\textstyle \sum_{i=1}^n e_i = e_1 + \ldots + e_n \ \mbox{where} \ \forall_{i=1}^n \ e_i = a_i \ \mbox{or} \ e_i = 0.</math>
 
 
The ''positive propositions'', {pos&nbsp;:&nbsp;'''B'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''B'''} = ('''B'''<sup>''n''</sup>&nbsp;<font face=symbol>'''¥>'''</font>&nbsp;'''B'''), may be expressed as products of the following form:
 
 
: <math>\textstyle \prod_{i=1}^n e_i = e_1 \cdot \ldots \cdot e_n \ \mbox{where} \ \forall_{i=1}^n \ e_i = a_i \ \mbox{or} \ e_i = 1.</math>
 
 
The ''singular propositions'', {''x''&nbsp;:&nbsp;'''B'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''B'''} = ('''B'''<sup>''n''</sup>&nbsp;<font face=symbol>'''××>'''</font>&nbsp;'''B'''), may be expressed as products of the following form:
 
 
: <math>\textstyle \prod_{i=1}^n e_i = e_1 \cdot \ldots \cdot e_n \ \mbox{where} \ \forall_{i=1}^n \ e_i = a_i \ \mbox{or} \ e_i = (a_i) = \lnot a_i.</math>
 
 
<font face="lucida calligraphy">I</font>&nbsp;=&nbsp;{1,&nbsp;&hellip;,&nbsp;''n''}.
 
 
''J'' &sube; <font face="lucida calligraphy">I</font>
 
 
<font face="lucida calligraphy">J &sube; I</font>
 
 
<font face="lucida calligraphy">A</font><sub>''J''</sub>
 
 
<font face="lucida calligraphy">A<sub>J</sub></font>
 
 
<font face="mt extra">l</font><sub>''J''</sub>&nbsp;:&nbsp;'''B'''<sup>''k''</sup>&nbsp;&rarr;&nbsp;'''B'''
 
 
<math>\ell_J : \mathbb{B}^k \to \mathbb{B}</math>
 
 
&theta;&nbsp;:&nbsp;('''K'''<sup>''n''</sup>&nbsp;&rarr; '''K''')&nbsp;&rarr;&nbsp;'''K'''
 
 
<math>\theta</math>&nbsp;:&nbsp;('''K'''<sup>''n''</sup>&nbsp;&rarr; '''K''')&nbsp;&rarr;&nbsp;'''K'''
 
 
<math>\theta\!</math>&nbsp;:&nbsp;('''K'''<sup>''n''</sup>&nbsp;&rarr; '''K''')&nbsp;&rarr;&nbsp;'''K'''
 
 
<math>\vartheta</math>&nbsp;:&nbsp;('''K'''<sup>''n''</sup>&nbsp;&rarr; '''K''')&nbsp;&rarr;&nbsp;'''K'''
 
 
<math>\vartheta\!</math>&nbsp;:&nbsp;('''K'''<sup>''n''</sup>&nbsp;&rarr; '''K''')&nbsp;&rarr;&nbsp;'''K'''
 
 
<math>\chi\!</math>&nbsp;:&nbsp;''X''&nbsp;&rarr;&nbsp;<math>\bigcup_x \ \chi_x\!</math>
 
 
<math>\chi\!</math>&nbsp;:&nbsp;'''K'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;(('''K'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''K''')&nbsp;&rarr;&nbsp;'''K''')
 
 
<math>\chi\!</math>&nbsp;:&nbsp;('''K'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''K''')&nbsp;&rarr;&nbsp;('''K'''<sup>''n''</sup>&nbsp;&rarr;&nbsp;'''K''')
 
 
<math>\cong</math>
 
 
<math>\lceil x \rceil</math>
 
 
{| cellpadding=6
 
| <u>''x''</u><sub>''i''</sub>(''x'')
 
| &chi;(''x'' &isin; ''L''<sub>''i''</sub>)
 
| <math>\lceil x \in L_i \rceil</math>
 
| ''L''<sub>''i''</sub>(''x'')
 
|-
 
| <u>''x''</u><sub>''i''</sub>(''x'')
 
| <math>\chi (x \in L_i)</math>
 
| <math>\lceil x \in L_i \rceil</math>
 
| ''L''<sub>''i''</sub>(''x'')
 
|}
 
 
{| cellpadding=4
 
| ‹0,&nbsp;0,&nbsp;0›
 
| <font face=system>‹0,&nbsp;0,&nbsp;0›</font>
 
|-
 
| ‹0,&nbsp;0,&nbsp;1›
 
| <font face=system>‹0,&nbsp;0,&nbsp;1›</font>
 
|-
 
| ‹0,&nbsp;1,&nbsp;0›
 
| <font face=system>‹0,&nbsp;1,&nbsp;0›</font>
 
|-
 
| ‹0,&nbsp;1,&nbsp;1›
 
| <font face=system>‹0,&nbsp;1,&nbsp;1›</font>
 
|-
 
| ‹1,&nbsp;0,&nbsp;0›
 
| <font face=system>‹1,&nbsp;0,&nbsp;0›</font>
 
|-
 
| ‹1,&nbsp;0,&nbsp;1›
 
| <font face=system>‹1,&nbsp;0,&nbsp;1›</font>
 
|-
 
| ‹1,&nbsp;1,&nbsp;0›
 
| <font face=system>‹1,&nbsp;1,&nbsp;0›</font>
 
|-
 
| ‹1,&nbsp;1,&nbsp;1›
 
| <font face=system>‹1,&nbsp;1,&nbsp;1›</font>
 
|}
 

Latest revision as of 22:26, 19 May 2007