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	<title>Itofazdifferential equations - Revision history</title>
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		<id>https://awaretheory.com/wiki/index.php?title=Itofazdifferential_equations&amp;diff=22963&amp;oldid=prev</id>
		<title>Mark at 09:05, 23 December 2010</title>
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		<updated>2010-12-23T09:05:58Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;====[[Itofazdifferential equations]]====&lt;br /&gt;
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[[Itofazdifferential equations]] are equations that represent the concept of change between two or more [[itofazconcept]]s.&lt;br /&gt;
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[[Mathematics of conscious survival]],  [[An introduction  to the Mathematics of immortality]], [[Mathematics of immortality]],&lt;br /&gt;
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[[Symbolic definitions]], [[Symbolic definitions part2]],  [[Symbolic definitions part3]],  [[Symbolic definitions part 4]], &lt;br /&gt;
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[[Introduction and Foundation Concepts for Itoequations]]&lt;br /&gt;
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[[Simple citoequations]], [[Simple citoequations 2]], [[Simple citoequations 3]], &lt;br /&gt;
 &lt;br /&gt;
[[Citoequations 1]],  [[Citoequations 2]],  [[Citoequations 3]],  [[Citoequations 4]],  [[Citoequations 5]],  &lt;br /&gt;
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[[Advanced citoequations]], [[Advanced citoequations 1]], [[Advanced citoequations 2]], [[Advanced citoequations 3]],&lt;br /&gt;
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[[Combined equations]], [[Combined equations 1]] &lt;br /&gt;
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[[Important citoequations]], [[Important citoequations 1]], [[Important citoequations 2]] &lt;br /&gt;
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[[Itodifferential equations]], [[Fazdifferential equations]], [[Itofazdifferential equations]] &lt;br /&gt;
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[[itofazmapping equations]], [[Itofazspace mapping equations]], [[Itobehavior equations]]&lt;br /&gt;
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[[Itoproduction equations]] [[Itoequation logic]] &lt;br /&gt;
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http://meta.wikimedia.org/wiki/Help:Formula, [[test]]&lt;br /&gt;
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&amp;lt;math&amp;gt;d{P}/dt&amp;lt;/math&amp;gt; the change in the physiconcept over time.&lt;br /&gt;
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&amp;lt;math&amp;gt;d{\mathfrak{P}}/dt&amp;lt;/math&amp;gt; the change in the physaconcept over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dC/dt&amp;lt;/math&amp;gt; the change in the awareconcept over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;d\mathfrak{C}/dt&amp;lt;/math&amp;gt; the change in the awareconcept over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;d{\mathfrak{X}/dt&amp;lt;/math&amp;gt;  the change in the ixpeconcept over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;d\mathbb{K} }/dt&amp;lt;/math&amp;gt;  the change in the epiconcept over time.&lt;br /&gt;
&lt;br /&gt;
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&amp;lt;math&amp;gt;\frac{dP}{dt}&amp;lt;/math&amp;gt;  the change in the physiconcept over time.&lt;br /&gt;
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&amp;lt;math&amp;gt;\frac{d\mathfrak{P}}{dt}&amp;lt;/math&amp;gt; the change in the physaconcept over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{dC}{dt}&amp;lt;/math&amp;gt; the change in the awareconcept over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{d\mathfrak{C}}{dt}&amp;lt;/math&amp;gt; the change in the awareconcept over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{d\mathfrak{X}}{dt}&amp;lt;/math&amp;gt;  the change in the ixpeconcept over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{d\mathbb{K}}{dt}&amp;lt;/math&amp;gt;  the change in the epiconcept over time.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;dC/d{\mathfrak{P}}&amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]].&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{dC}{d\mathfrak{P}}&amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]].&lt;br /&gt;
&lt;br /&gt;
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&amp;lt;math&amp;gt;\nabla\frac{C}{\mathfrak{P}}/dt&amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\nabla\overset{C}{\mathfrak{P}}/dt&amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\nabla\stackrel{C}{\mathfrak{P}}/dt&amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\nabla_{C}^{\mathfrak{P}})/dt&amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\nabla{_{C}^{\mathfrak{P}}}/dt&amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\nabla_{C}^{\mathfrak{P}})/dt&amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\nabla_{C}^{\mathfrak{P}})/dt  \;   \Rrightarrow  \;\;    \stackrel{\thicksim}{\mathbb{K}}  &amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time, mapped to an [[epipath]].&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\nabla_{C}^{\mathfrak{P}})/dt  \; \stackrel{\bullet}{\Rrightarrow}  \;\;    \stackrel{\thicksim}{\mathbb{K}} &amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time, mapped to an [[epipath]] one [[itopoint]] at a time.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\nabla_{C}^{\mathfrak{P}})/dt  \; \stackrel{\bullet\bullet}{\Rrightarrow}  \;\;    \stackrel{\thicksim}{\mathbb{K}} &amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time, mapped to an [[epipath]] one itomoment at a time.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\nabla_{C}^{\mathfrak{P}})/dt  \; \stackrel{-\!\!-}{\Rrightarrow}  \; \;   \stackrel{\thicksim}{\mathbb{K}} &amp;lt;/math&amp;gt; the change in the [[awareconcept]] per change in the [[physaconcept]] over time, mapped to an [[epipath]] one [[itosection]] at a time. The result is a [[differential epipath]].&lt;br /&gt;
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&amp;lt;math&amp;gt;(\stackrel{\bullet}{\nabla}{_{C}^{\mathfrak{P}}})/dt  \; \stackrel{\bullet}{\Rrightarrow}  \;\;    \stackrel{\thicksim}{\mathbb{K}} &amp;lt;/math&amp;gt; the change in the [[awarepoint]] per change in the [[physapoint]] over time, mapped to an [[epipath]] one [[itopoint]] at a time.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\stackrel{\bullet}{\nabla}{_{C}^{\mathfrak{P}}})/dt  \; \stackrel{\bullet\bullet}{\Rrightarrow}  \;\;    \stackrel{\thicksim}{\mathbb{K}} &amp;lt;/math&amp;gt; the change in the [[awarepoint]] per change in the [[physapoint]] over time, mapped to an [[epipath]] one [[itomoment]] at a time.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;(\stackrel{\bullet}{\nabla}{_{C}^{\mathfrak{P}}})/dt  \; \stackrel{-\!\!-}{\Rrightarrow}  \; \;   \stackrel{\thicksim}{\mathbb{K}} &amp;lt;/math&amp;gt; the change in the [[awarepoint]] per change in the [[physapoint]] over time, mapped to an [[epipath]] one [[itosection]] at a time. The result is a [[differential epipath]].&lt;br /&gt;
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&amp;lt;math&amp;gt;d(1C)/dt&amp;lt;/math&amp;gt; the change in the [[oriawareconcept]] per time&lt;br /&gt;
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&amp;lt;math&amp;gt;d(13P)/dt&amp;lt;/math&amp;gt; the change in the [[combophysiconcept]] per time&lt;br /&gt;
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&amp;lt;math&amp;gt;d(P)/dt&amp;lt;/math&amp;gt; the change in the [[physiconcept]] over time&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;d(Cito)/dt&amp;lt;/math&amp;gt; or   &amp;lt;math&amp;gt;d(4)/dt&amp;lt;/math&amp;gt; the change in the [[cidentireplica]] over time.&lt;br /&gt;
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&amp;lt;math&amp;gt;d(1C\thicksim)/dt&amp;lt;/math&amp;gt; the change in the [[oriawarepath]] over time&lt;br /&gt;
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&amp;lt;math&amp;gt;d(\overset{\thicksim} {1C}) /dt&amp;lt;/math&amp;gt; is the symbolic representation of the change in the [[oriawarepath]] over time.&lt;br /&gt;
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&amp;lt;math&amp;gt;d(\overset{\curvearrowright \thicksim} {1C}) /dt&amp;lt;/math&amp;gt; is the symbolic representation of the change in the [[futuristic oriawarepath]] over time.&lt;br /&gt;
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&amp;lt;math&amp;gt; \overset{\curvearrowright \thicksim} {5\mathfrak{P}} &amp;lt;/math&amp;gt;  is the symbol for futuristic vitophysapath&lt;br /&gt;
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&amp;lt;math&amp;gt;d(\overset{\curvearrowright \thicksim} {5\mathfrak{P}}) /dt&amp;lt;/math&amp;gt; is the symbolic representation of the change in the [[futuristic vitophysapath]] over time.&lt;br /&gt;
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&amp;lt;math&amp;gt;\partial(\overset{\curvearrowright \thicksim} {5\mathfrak{P}}) /dt&amp;lt;/math&amp;gt; is the symbolic representation of the change in the [[futuristic vitophysapath]] over time.&lt;br /&gt;
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&amp;lt;math&amp;gt;\nabla(\overset{\curvearrowright \thicksim} {5\mathfrak{P}}) &amp;lt;/math&amp;gt; is the symbolic representation of the change in the [[futuristic vitophysapath]] over time.&lt;br /&gt;
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&amp;lt;math&amp;gt;\nabla\overset{\curvearrowright \thicksim} {5\mathfrak{P}} &amp;lt;/math&amp;gt; is the symbolic representation of the change in the [[futuristic vitophysapath]] over time.&lt;br /&gt;
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&amp;lt;math&amp;gt;\nabla \, \partial x &amp;lt;/math&amp;gt;     \nabla \, \partial x &lt;br /&gt;
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&amp;lt;math&amp;gt;\circledS&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;math&amp;gt;\bullet&amp;lt;/math&amp;gt; &lt;br /&gt;
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&amp;lt;math&amp;gt;{\bullet\bullet}&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;math&amp;gt;{-}&amp;lt;/math&amp;gt; &lt;br /&gt;
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&amp;lt;math&amp;gt;\thicksim&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;math&amp;gt;\thickapprox&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;math&amp;gt;\boxplus}&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;math&amp;gt;\infty}&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;math&amp;gt;{\infty\infty}&amp;lt;/math&amp;gt; &lt;br /&gt;
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Z1:    &amp;lt;math&amp;gt;\;\;\;\; P \;\; \;\;&amp;lt;/math&amp;gt;  is the symbol that represents the [[physiconcept]].&lt;br /&gt;
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Z2:    &amp;lt;math&amp;gt;\;\;\;\;\mathfrak{P}\;\;\;\;&amp;lt;/math&amp;gt; is the symbol that represents the [[physaconcept]].&lt;br /&gt;
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Z3:    &amp;lt;math&amp;gt;\;\;\;\;C\;\;\;\;&amp;lt;/math&amp;gt;    is the symbol that represents the [[awareconcept]].&lt;br /&gt;
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Z4:    &amp;lt;math&amp;gt;\;\;\;\;\mathfrak{C}\;\;\;\;&amp;lt;/math&amp;gt; is the symbol that represents the [[mentaconcept]].&lt;br /&gt;
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Z5:    &amp;lt;math&amp;gt;\;\;\;\;{\mathfrak{X}} \;\;\;\;&amp;lt;/math&amp;gt; is the symbol that represents the [[ixpeconcept]].&lt;br /&gt;
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Z6:    &amp;lt;math&amp;gt;\;\;\;\;\mathbb{K} \; \;\;\;&amp;lt;/math&amp;gt; is the symbol that represents the  [[epiconcept]].&lt;br /&gt;
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Itofazspace mapping equations&lt;br /&gt;
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H1: &amp;lt;math&amp;gt; \Rrightarrow &amp;lt;/math&amp;gt; mapping to&lt;br /&gt;
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H2:   &amp;lt;math&amp;gt; \Lleftarrow &amp;lt;/math&amp;gt;  mapping from&lt;br /&gt;
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H3: &amp;lt;math&amp;gt;\Lleftarrow \! \! \Rrightarrow &amp;lt;/math&amp;gt; mapping to and from&lt;br /&gt;
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H4: &amp;lt;math&amp;gt;\Rrightarrow\! \Lleftarrow   &amp;lt;/math&amp;gt; mapping&lt;br /&gt;
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H5: &amp;lt;math&amp;gt;\mathfrak{P}\Rrightarrow\mathfrak{X}}  \Lleftarrow  C &amp;lt;/math&amp;gt; is the representation of mapping the [[physaspace]] and [[awarespace]] to an  [[ixpespace]]&lt;br /&gt;
&lt;br /&gt;
H6: &amp;lt;math&amp;gt;\stackrel{\circledS} {\mathfrak{P}}\Rrightarrow\mathfrak{X}}  \Lleftarrow  C &amp;lt;/math&amp;gt; is the representation of mapping the [[physaspace]] and [[awarespace]] to an  [[ixpespace]]&lt;br /&gt;
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H7: &amp;lt;math&amp;gt;\stackrel{\circledS} {\mathfrak{P}} \Rrightarrow  \stackrel{\circledS}{\mathfrak{X}}  \Lleftarrow  \stackrel{\circledS}{C} &amp;lt;/math&amp;gt; is the representation of mapping the [[physaspace]] and [[awarespace]] to an  [[ixpespace]]&lt;br /&gt;
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H7: &amp;lt;math&amp;gt;(\stackrel{\circledS} {\mathfrak{P}} \Rrightarrow  \stackrel{\circledS}{\mathfrak{X}}  \Lleftarrow  \stackrel{\circledS}{C})   \Rrightarrow  \mathbb{K}&amp;lt;/math&amp;gt; is the representation of mapping the [[physaspace]] and [[awarespace]] to an  [[ixpespace]] the whole mapping then mapped to an epispace&lt;br /&gt;
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\bigcirc \bigcap \bigcup \complement&lt;br /&gt;
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&amp;lt;math&amp;gt;\Box\!\!\! \!1&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;math&amp;gt;\bigcirc\!\!\! \!1&amp;lt;/math&amp;gt;&amp;lt;math&amp;gt;\bigcirc\!\!\! \!2&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\bigcap\!\!\! \!\!1&amp;lt;/math&amp;gt;&lt;br /&gt;
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&amp;lt;math&amp;gt;\bigcup\!\!\! \!\!1&amp;lt;/math&amp;gt; &amp;lt;math&amp;gt;\bigcup\!\!\! \!\!14&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\complement\!\!\! 1&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Mark</name></author>
	</entry>
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