Ontology:Q5,38 - Revision history

Reversedragon: Background

2025-08-30T12:39:56Z

Background

← Older revision		Revision as of 12:39, 30 August 2025
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	{{HueCSS}}<ol class="hue clean compound"><li> {{ArticleTitle\|star - STM / S1 / Q5,38\|NoContents=y}}		{{HueCSS}}<ol class="hue clean compound"><li> {{ArticleTitle\|star - STM / S1 / Q5,38\|NoContents=y}}
	<onlyinclude><dfn class="{{{class\|field_geo}}} manual" data-dimension="S1" data-qid="5,38" data-numbersign="404" data-field="" data-object="" data-note="" data-lexeme="">{{IS1/STM}}{{#if: {{{1\|}}} \| [[E:Q5,38\|{{{1}}}]] \| [[E:Q5,38\|{{TTS\|tts=star\|<nowiki>*</nowiki>}}]] }}{{#if: {{{3\|}}} \| {{{3}}} \| <ins class="~~field~~"> (unreal number)</ins> }}{{#if: {{{2\|}}} \| <ins class="edition-sense term"> ([[E:Q55,38/{{{2}}}\|{{{2}}}]]<nowiki />)</ins> }}{{WaveScore\|sum=1\|quilt=1\|ply=1\|enddfn=1}}{{#switch: {{{C\|}}} \| L = <span></span> \| Q = [[C:Hackenbush ontology]] }}</onlyinclude>		<onlyinclude><dfn class="{{{class\|field_geo}}} manual" data-dimension="S1" data-qid="5,38" data-numbersign="404" data-field="" data-object="" data-note="" data-lexeme="">{{IS1/STM}}{{#if: {{{1\|}}} \| [[E:Q5,38\|{{{1}}}]] \| [[E:Q5,38\|{{TTS\|tts=star\|<nowiki>*</nowiki>}}]] }}{{#if: {{{3\|}}} \| {{{3}}} \| <ins class="note series_hackenbush"> (unreal number)</ins> }}{{#if: {{{2\|}}} \| <ins class="edition-sense term"> ([[E:Q55,38/{{{2}}}\|{{{2}}}]]<nowiki />)</ins> }}{{WaveScore\|sum=1\|quilt=1\|ply=1\|enddfn=1}}{{#switch: {{{C\|}}} \| L = <span></span> \| Q = [[C:Hackenbush ontology]] }}</onlyinclude>
	</li></ol><!-- change summary template: copy or update fake Item from [[Special:PermanentLink/NNNN\|Q5,38]] -->		</li></ol><!-- change summary template: copy or update fake Item from [[Special:PermanentLink/NNNN\|Q5,38]] -->

	== Core characteristics ==		== Core characteristics ==

	<dl class="wikitable hue">		<dl class="wikitable hue series_hackenbush">
	{{HueClaim \|P=item type\| {{Template:S1}} }}		{{HueClaim \|P=item type\| {{Template:S1}} }}
	{{HueRoster\|EP=PPPA/L\|lang=en\| {{E:Q5,38}} \| {{TTS\|tts=star one\|<nowiki>*</nowiki>1}} }}		{{HueRoster\|EP=PPPA/L\|lang=en\| {{E:Q5,38}} \| {{TTS\|tts=star one\|<nowiki>*</nowiki>1}} }}
	{{HueClaim \|EP=PPPA\|lang=en\| -- }}		{{HueClaim \|EP=PPPA\|lang=en\| -- }}
	{{HueRoster\|EP=P42/BB\| -- }} <!-- en: shares thematic block -->		{{HueRoster\|EP=P42/BB\| -- }} <!-- en: shares thematic block -->
	{{HueRoster\|EP=P34\| {{E:Q618/STM\|combinatorial game theory}} \| {{E:Q618/STM\|Hackenbush}} [[Category:Hackenbush ontology]] }} <!-- en: field -->		{{HueRoster\|EP=P34\| {{E:Q618/STM\|combinatorial game theory}} [[Category:Combinatorial game theory ontology]] \| {{E:Q618/STM\|Hackenbush}} [[Category:Hackenbush ontology]] }} <!-- en: field -->
	{{HueRoster\|EP=P3\| -- }} <!-- en: sub-case of -->		{{HueRoster\|EP=P3\| -- }} <!-- en: sub-case of -->
	{{HueRoster\|EP=P4\| {{E:Q618/STM\|number-like object}} }} <!-- en: case of -->		{{HueRoster\|EP=P4\| {{E:Q618/STM\|number-like object}} }} <!-- en: case of -->
	{{HueRoster\|EP=P5\| -- }} <!-- en: super-case of -->		{{HueRoster\|EP=P5\| -- }} <!-- en: super-case of -->
	</dl>		</dl><!--

	=== Components ===		=== Components ===

	<dl class="wikitable hue">		<dl class="wikitable hue series_hackenbush">
	{{HueRoster\|EP=P6\| -- }}		{{HueRoster\|EP=P6\| -- }}
	</dl>		</dl> -->

	== Wavebuilder combinations ==		== {{TTS\|tts=Wave-builder\|Wavebuilder}} combinations ==

	<dl class="wikitable hue data_wavebuild three">		<dl class="wikitable hue data_wavebuild three series_hackenbush">
	{{WaveBuildNone\| {{E:Q538}} \| {{E:Q618/STM\|move in P direction}} \| {{E:Q618/STM\|exactly 1}} }} <!-- en: Along With, Produces ?? ?? -->		{{WaveBuildNone\| {{E:Q538}} \| {{E:Q618/STM\|move in P direction}} \| {{E:Q618/STM\|exactly 1}} }} <!-- en: Along With, Produces ?? ?? -->
	{{WaveBuildNone\| {{E:Q538}} \| {{E:Q618/STM\|move in N direction}} \| {{E:Q618/STM\|exactly -1}} }}		{{WaveBuildNone\| {{E:Q538}} \| {{E:Q618/STM\|move in N direction}} \| {{E:Q618/STM\|exactly -1}} }}
	</dl>		</dl>

	== Wavebuilder characterizations ==		== {{TTS\|tts=Wave-builder\|Wavebuilder}} characterizations ==

	<dl class="wikitable hue data_wavebuild three">		<dl class="wikitable hue data_wavebuild three series_hackenbush">
	{{WaveRoute\| {{E:Q618/STM\|zero game}} \| {{E:Q618/STM\|space in neutral direction}} \| {{E:Q538}} }} <!-- en: From ?? ?? -->		{{WaveRoute\| {{E:Q618/STM\|zero game}} \| {{E:Q618/STM\|space in neutral direction}} \| {{E:Q538}} }} <!-- en: From ?? ?? -->
	</dl>		</dl>
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	let's see... GIGO / undefined behavior + Pokémon = glitch Pokémon. undefined behavior + numbers = abstract algebra. or something.		let's see... GIGO / undefined behavior + Pokémon = glitch Pokémon. undefined behavior + numbers = abstract algebra. or something.
	</li></ol>		</li></ol>

			== Background ==

			{{TTS\|tts=star\|<nowiki></nowiki>}} (or {{TTS\|tts=star one\|<nowiki></nowiki>1}}) is a number-like object used to describe games in combinatorial game theory. It represents a game state where there is at least one space which can be taken by either player and count toward either player winning or losing. A positive number counts a space which will be taken by one player, while a negative number counts a space which will be taken by the other player. A rational number is a combination of spaces that count toward one player averaged against spaces that count toward the other. However, a star number is an un-taken space which genuinely does not count toward either player until a particular player is selected to move first.

			(incomplete)

			=== {{TTS\|tts=star\|<nowiki>*</nowiki>}} as matrix ===

			Thinking of {{TTS\|tts=star\|<nowiki></nowiki>}} as a number similar to an integer or decimal may be less useful than thinking of it as a composite object containing multiple elements that assemble into a [[E:algebra (data structure)\|mathematical data structure]]. Matrices in particular are somewhat similar to game states: any particular vector laid out vertically can be concatenated onto a matrix as a new column through an operation called augmentation. If {{TTS\|tts=star\|<nowiki></nowiki>}} gains its contradictory properties from the internal contents of a vector, then it would make sense that augmenting matrices would combine two sets of contradictory elements into one set of contradictory elements that could resolve into zero. Matrices have interesting capabilities, such as multiplying against themselves to produce -1 or 1 — this has allowed complex numbers to be turned into matrices for some applications. The same thing could apply to {{TTS\|tts=star\|<nowiki>*</nowiki>}}.

	== Usage notes ==		== Usage notes ==
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	[[Category:S1 Signifier Items]] <!-- tag to suppress extra spacing. page ends here.		[[Category:S1 Signifier Items]] <!-- tag to suppress extra spacing. page ends here.
	TTS-unfriendly, search-friendly numbers: Q538		TTS-unfriendly, search-friendly numbers: Q440 Q538
	en-GB words: (none) -->		en-GB words: (none) -->

Reversedragon: Prototype notes

2025-08-30T02:02:35Z

Prototype notes

@@ Line 35: / Line 35: @@
 </dl>
-== Prototype notes ==
+== [[User:Reversedragon/FirstNineThousand|Prototype]] notes ==
 == Usage notes ==

Reversedragon: disable wiki list

2025-08-30T00:49:50Z

disable wiki list

← Older revision		Revision as of 00:49, 30 August 2025
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	{{HueCSS}}<ol class="hue clean compound"><li> {{ArticleTitle\|star - STM / S1 / Q5,38\|NoContents=y}}		{{HueCSS}}<ol class="hue clean compound"><li> {{ArticleTitle\|star - STM / S1 / Q5,38\|NoContents=y}}
	<onlyinclude><dfn class="{{{class\|field_geo}}} manual" data-dimension="S1" data-qid="5,38" data-numbersign="404" data-field="" data-object="" data-note="" data-lexeme="">{{IS1/STM}}{{#if: {{{1\|}}} \| [[E:Q5,38\|{{{1}}}]] \| [[E:Q5,38\|{{TTS\|tts=star\|*}}]] }}{{#if: {{{3\|}}} \| {{{3}}} \| <ins class="field"> (unreal number)</ins> }}{{#if: {{{2\|}}} \| <ins class="edition-sense term"> ([[E:Q55,38/{{{2}}}\|{{{2}}}]]<nowiki />)</ins> }}{{WaveScore\|sum=1\|quilt=1\|ply=1\|enddfn=1}}{{#switch: {{{C\|}}} \| L = <span></span> \| Q = [[C:Hackenbush ontology]] }}</onlyinclude>		<onlyinclude><dfn class="{{{class\|field_geo}}} manual" data-dimension="S1" data-qid="5,38" data-numbersign="404" data-field="" data-object="" data-note="" data-lexeme="">{{IS1/STM}}{{#if: {{{1\|}}} \| [[E:Q5,38\|{{{1}}}]] \| [[E:Q5,38\|{{TTS\|tts=star\|<nowiki>*</nowiki>}}]] }}{{#if: {{{3\|}}} \| {{{3}}} \| <ins class="field"> (unreal number)</ins> }}{{#if: {{{2\|}}} \| <ins class="edition-sense term"> ([[E:Q55,38/{{{2}}}\|{{{2}}}]]<nowiki />)</ins> }}{{WaveScore\|sum=1\|quilt=1\|ply=1\|enddfn=1}}{{#switch: {{{C\|}}} \| L = <span></span> \| Q = [[C:Hackenbush ontology]] }}</onlyinclude>
	</li></ol><!-- change summary template: copy or update fake Item from [[Special:PermanentLink/NNNN\|Q5,38]] -->		</li></ol><!-- change summary template: copy or update fake Item from [[Special:PermanentLink/NNNN\|Q5,38]] -->

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	<dl class="wikitable hue data_wavebuild three">		<dl class="wikitable hue data_wavebuild three">
	{{WaveBuildNone\| {{E:Q538}} \| move in P direction \| exactly 1 }} <!-- en: Along With, Produces ?? ?? -->		{{WaveBuildNone\| {{E:Q538}} \| {{E:Q618/STM\|move in P direction}} \| {{E:Q618/STM\|exactly 1}} }} <!-- en: Along With, Produces ?? ?? -->
	{{WaveBuildNone\| {{E:Q538}} \| move in N direction \| exactly -1 }}		{{WaveBuildNone\| {{E:Q538}} \| {{E:Q618/STM\|move in N direction}} \| {{E:Q618/STM\|exactly -1}} }}
	</dl>		</dl>

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	<dl class="wikitable hue data_wavebuild three">		<dl class="wikitable hue data_wavebuild three">
	{{WaveRoute\| zero game \| ~~piece~~ in neutral direction \| {{E:Q538}} }} <!-- en: From ?? ?? -->		{{WaveRoute\| {{E:Q618/STM\|zero game}} \| {{E:Q618/STM\|space in neutral direction}} \| {{E:Q538}} }} <!-- en: From ?? ?? -->
	</dl>		</dl>

Reversedragon: Reversedragon moved page Ontology:Q538 to Ontology:Q5,38: Moving numbered Item to TTS-pronounceable title

2025-08-29T23:51:58Z

Reversedragon moved page Ontology:Q538 to Ontology:Q5,38: Moving numbered Item to TTS-pronounceable title

← Older revision	Revision as of 23:51, 29 August 2025
(No difference)

Reversedragon: copy or update fake Item from Q540

2025-08-29T23:51:06Z

copy or update fake Item from Q540

New page

{{HueCSS}}<ol class="hue clean compound"><li> {{ArticleTitle|star - STM / S1 / Q5,38|NoContents=y}}
<onlyinclude><dfn class="{{{class|field_geo}}} manual" data-dimension="S1" data-qid="5,38" data-numbersign="404" data-field="" data-object="" data-note="" data-lexeme="">{{IS1/STM}}{{#if: {{{1|}}} | [[E:Q5,38|{{{1}}}]] | [[E:Q5,38|{{TTS|tts=star|*}}]] }}{{#if: {{{3|}}} | {{{3}}} | <ins class="field"> (unreal number)</ins> }}{{#if: {{{2|}}} | <ins class="edition-sense term"> ([[E:Q55,38/{{{2}}}|{{{2}}}]]<nowiki />)</ins> }}{{WaveScore|sum=1|quilt=1|ply=1|enddfn=1}}{{#switch: {{{C|}}} | L = <span></span> | Q = [[C:Hackenbush ontology]] }}</onlyinclude>
</li></ol>

== Core characteristics ==

<dl class="wikitable hue">
{{HueClaim |P=item type| {{Template:S1}} }}
{{HueRoster|EP=PPPA/L|lang=en| {{E:Q5,38}} | {{TTS|tts=star one|<nowiki>*</nowiki>1}} }}
{{HueClaim |EP=PPPA|lang=en| -- }}
{{HueRoster|EP=P42/BB| -- }} 
{{HueRoster|EP=P34| {{E:Q618/STM|combinatorial game theory}} | {{E:Q618/STM|Hackenbush}} [[Category:Hackenbush ontology]] }} 
{{HueRoster|EP=P3| -- }} 
{{HueRoster|EP=P4| {{E:Q618/STM|number-like object}} }} 
{{HueRoster|EP=P5| -- }} 
</dl>

=== Components ===

<dl class="wikitable hue">
{{HueRoster|EP=P6| -- }}
</dl>

== Wavebuilder combinations ==

<dl class="wikitable hue data_wavebuild three">
{{WaveBuildNone| {{E:Q538}} | move in P direction | exactly 1 }} 
{{WaveBuildNone| {{E:Q538}} | move in N direction | exactly -1 }}
</dl>

== Wavebuilder characterizations ==

<dl class="wikitable hue data_wavebuild three">
{{WaveRoute| zero game | piece in neutral direction | {{E:Q538}} }} 
</dl>

== Prototype notes ==

== Usage notes ==

[[Category:S1 Signifier Items]]