View source for Symbolic definitions part3




=== Symbolic representations of Itobodies ===


[[Itoidentireplica]],  [[Ito]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  \sum_{ori}^{simi}  (O,U,E,D,T,S,F,N) \;  where\;   X_{ori} = X_{ito} </m>

[[Original]],  [[Ori]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  (O,U,E,D,T,S,F,N) </m>

[[Idoriginal]],   [[Ido]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  (O,U^{h},E^{m},D^{x},T^{i},S,F,N^{q}) \; where\;  C_{ori} = C_{ido} \; and\;  X_{ori} = X_{ido}  </m>

[[Coriginal]],  [[Cori]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Pi,F^\pi,N^{q}) \; where\;   X_{ori} = X_{cori}  </m>

[[Cidentireplica]],   [[Cito]] <m> \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  (O,U^{h},E^{m},D^{x},T^{i},S,F,N^{q}) \; where\;  C_{ori} = C_{cito} \; and\;  X_{ori} = X_{cito} </m>

[[Videntireplica]],  [[Vito]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Delta,F^\delta,N^{q}) \; where\;   X_{ori} = X_{vito} </m>

[[Fidentireplica]],  [[Fito]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Upsilon,F^\upsilon,N^{q}) \;  where\;   X_{ori} = X_{fito} </m>

[[Isoidentireplica]],  [[Iso]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Psi,F^\psi,N^{q})\; where\;   X_{ori} = X_{iso} </m>

[[Enhaidentireplica]],  [[Enha]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; (O,U^{h},E^{m},D^{x},T^{i},S^\Lambda,F^\lambda,N^{q})\; where\;   X_{ori} = X_{enha} </m>

[[Musidentireplica]],  [[Mus]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; (O,U^{h},E^{m},D^{x},T^{i},S^\Phi,F^\phi,N^{q})\;  where\;  X_{ori} = X_{mus} </m>

[[Insidentireplica]],   [[Insi]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; (O,U^{h},E^{m},D^{x},T^{i},S^\Theta,F^\theta,N^{q})\;  where \; X_{ori} = X_{insi} </m>

[[Tridentireplica]],   [[Trito]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; (O,U^{h},E^{m},D^{x},T^{i},S^\Gamma,F^\gamma,N^{q})\;  where \;  X_{ori} = X_{trito} </m>

[[Nrgidentireplica]],   [[Nrg]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Omega,F^\omega,N^{q})\;  where \; X_{ori} = X_{nrg} </m> 

[[Comboidentireplica]],   [[Combo]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}\;\prod_{ori}^{simi}  (O,U^{h},E^{m},D^{x},T^{i},S^\Sigma,F^\sigma,N^{q}) \;  where\;  X_{ori} = X_{combo} </m> 

[[Simidentireplica]],   [[Simi]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; (O,U^{h},E^{m},D^{x},T^{i},S^\Xi,F^\xi,N^{q}) \; where\;  X_{ori} = X_{simi} </m> 


[[X]] is the symbol for [[ixperiencitness]]. [[C]] is the symbol for [[consciousness]]. 

[[O]] represents the [[original]] or  point of concern such as you.  [[U]] is the universe, with what can be different physical laws, that the [[itobody]] exists in. [[E]] represents the exacting material factors like:  chemical composition, same matter over time, placement of matter in the itobody etc. [[D]] represent the spacial aspects of the itobody such as  where it is at any particular time orientation  of the matter and of the itobody. [[T]] represents the time that the original exist in it can be both absolute time, or relative time to other event in time. Since time can proceed at different speeds due to acceleration gravity and velocity. this is included as well. [[S]] stands for the exact structure over time. [[F]] stands for the exact functioning over time. [[N]] is the symbol for the exact [[environmental conditions]] that influenced the itobody over time.  

[[Itoidentireplica]],  [[Ito]] <m>  \;  \sum_{ori}^{simi}  (O,U,E,D,T,S,F,N) \; </m>

[[Original]],  [[Ori]] <m>  \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \;\;  (O,U,E,D,T,S,F,N) </m>

[[Idoriginal]],   [[Ido]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \;\;  (O,U^{h},E^{m},D^{x},T^{i},S,F,N^{q}) \;    </m>

[[Coriginal]],  [[Cori]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \; \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Pi,F^\pi,N^{q}) \;  </m>

[[Cidentireplica]],   [[Cito]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \;  (O,U^{h},E^{m},D^{x},T^{i},S,F,N^{q}) \;   </m>

[[Videntireplica]],  [[Vito]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \; \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Delta,F^\delta,N^{q}) \; </m>

[[Fidentireplica]],  [[Fito]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \;  \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Upsilon,F^\upsilon,N^{q}) \;   </m>

[[Isoidentireplica]],  [[Iso]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \; \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Psi,F^\psi,N^{q})\; </m>

[[Enhaidentireplica]],  [[Enha]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Lambda,F^\lambda,N^{q})\; </m>

[[Musidentireplica]],  [[Mus]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Phi,F^\phi,N^{q})\;  </m>

[[Insidentireplica]],   [[Insi]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \;\; (O,U^{h},E^{m},D^{x},T^{i},S^\Theta,F^\theta,N^{q})\;  </m>

[[Tridentireplica]],   [[Trito]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \;\; (O,U^{h},E^{m},D^{x},T^{i},S^\Gamma,F^\gamma,N^{q})\;  </m>

[[Nrgidentireplica]],   [[Nrg]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \; \;  (O,U^{h},E^{m},D^{x},T^{i},S^\Omega,F^\omega,N^{q})\;  </m> 

[[Comboidentireplica]],   [[Combo]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \;  \; \prod_{ori}^{simi}  (O,U^{h},E^{m},D^{x},T^{i},S^\Sigma,F^\sigma,N^{q})\;   </m> 

[[Simidentireplica]],   [[Simi]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow}  \;\; (O,U^{h},E^{m},D^{x},T^{i},S^\Xi,F^\xi,N^{q}) \;  </m>

===Symbolic representations of Fazconcepts===

<m>S^\Omega,F^\omega\; </m>  <m> S^\Gamma,F^\gamma\; </m> 


[[Tcon]] is the total consciousness produced by a itobody. It can be more than what the [[awareconcept]] represents. [[Ixpe]] represents the [[ixperiencitness]] concept. [[Epi]] represent the knowledge about all the fazconcept including itself. [[N]] is the term for [[enviromental conditions]]. The term <m>\And </m> means all the other related knowledge like how to produce a certain [[physapath]] or [[ixpepath]].


[[Physiconcept]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; \;\frac{d(O,U,E,D,T,S,F)}{dt}\  \;\Longleftrightarrow </m> 

<m>\;\frac{d(O)}{dt}\,\uplus\frac{d(U)}{dt}\,\uplus\;\frac{d(E)}{dt}\,\uplus\frac{d(D)}{dt}\,\uplus\frac{d(T)}{dt}\,\uplus\frac{d(S)}{dt}\,\uplus  \frac{d(F)}{dt}\,</m> 

[[Physaconcept]]   <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; \;\frac{d(O,U,S,F)}{dt}\</m> 

[[Awareconcept]]   <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; \;\frac{d(con)}{dt}\ \; or\;\frac{d(C)}{dt}\</m> 

[[Mentaconcept]]  <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; \;\frac{d(men)}{dt}\\;  or \;\frac{d(TC)}{dt}\ \</m> 

[[Ixpeconcept]]    <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; \;\frac{d(ixpe)}{dt}\ \; or\;\frac{d(X)}{dt}</m>  

[[Epiconcept]]  <m>\;\;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \; \Bbbk\frac{d(O,U,E,D,T,S,F)}{dt}\;\uplus\; \Bbbk\frac{d(O,U,S,F)}{dt}\;\uplus\;\Bbbk \frac{d(C)}{dt}\;\uplus\;\Bbbk \frac{d(TC)}{dt}\;\uplus \;\Bbbk \frac{d(X)}{dt} \;\uplus\;\Bbbk\frac{d(\Bbbk)}{dt}\;{\Longleftrightarrow}     </m>

<m>\;\frac{d(O)}{dt}\,\;\uplus\;\;\Bbbk\frac{d(U)}{dt}\,\;\uplus\;\;\Bbbk\frac{d(E)}{dt}\,\;\uplus\;\Bbbk
\frac{d(D)}{dt}\,\;\uplus\;\Bbbk\;\frac{d(T)}{dt}\;\uplus\;\Bbbk\frac{d(S)}{dt}\;\uplus\;\Bbbk\frac{d(F)}{dt}\;\uplus\;\Bbbk \frac{d(C)}{dt}\;\uplus\;\Bbbk \frac{d(TC)}{dt}\;\uplus \;\Bbbk \frac{d(X)}{dt} \;\uplus\;\Bbbk\frac{d(N)}{dt} \;\uplus\;\Bbbk\frac{d(\Bbbk)}{dt}\;\uplus\;\Bbbk\frac{d(\And )}{dt}\;{\Longleftrightarrow} </m>  

<m> \; \Bbbk\frac{d(O,U,E,D,T,S,F,C,TC,N,X,\Bbbk,\And )}{dt}\;</m>

===Symbolic representations of Physiconcepts===

[[Physispace]]<m>\;\;</m>      <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m>  <m>\overbrace{Physi} ^{\circledS}</m>

[[Physipoint]] <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m>  <m>\overbrace{  P(x,y,z,\ldots)} ^{\bullet}</m>

[[Physimoment]]   <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m>  <m>\overbrace{Physi} ^{\bullet\bullet}</m>		

[[Physisection]]   <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m>    <m>\overbrace{Physi} ^-</m>		

[[Physipath]]       <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m>    <m>\overbrace{Physi} ^{\thicksim}</m>	

[[Physivenue]]     <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m>  <m>\overbrace{Physi} ^{\thickapprox}</m>	

[[Physiregion]]  <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m><m>\overbrace{\; \prod_{n}^{m}   \sum_{a}^{b} \frac{d(P)}{dt} \;\;} ^{\boxplus }</m>	

[[Physicontinuum]]  <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m><m>\overbrace{Physi} ^{\infty}</m>	

[[Physimulticontinuum]]  <m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}  \;</m><m>\overbrace{Physi} ^{\infty\infty}</m>


=== ===


[[Physispace]]   <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \stackrel{\circledS}{P}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;   \prod_{n = 0}}^{\infty}  (\overset{\bullet}{P\!_{n^1}}, \overset{\bullet\bullet}{P_{n^2}}, \overset{-\!-}{P_{n^3}}, \overset{\thicksim}{P_{n^4}}, \overset{\thickapprox}{P_{n^5}},\overset{\boxplus}{P_{n^6}},\overset{\infty}{P_{n^7}},\overset{\overset{\infty}{\infty}}{P}\!_{n^8})</m>


[[Physipoint]]   <m> \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \; \overset{\bullet}{P}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}   \; \; \;\;  P(x,y,z,\ldots)</m> 

[[Physimoment]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \; \;\overset{\bullet\bullet}{P} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}   \; \; \;  \sum_{p^a}^{p^b} (P)	</m> 

[[Physisection]]    <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \;\; \overset{-\!-}{P}\;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}   \; \; \;\sum_{c^a}^{c^b} \frac{d(P)}{dt}	</m> 

[[Physipath]]    <m>\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \;\; \overset{\thicksim}{P} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \sum_{birth}^{death} \frac{d(P)}{dt}  \;\; or   \;\;  \sum_\vdash^\dashv  \frac{d(P)}{dt}</m> 	

[[Physivenue]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \; \;\overset{\thickapprox}{P} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \;   \sum_{n}^{m}   \sum_{birth}^{death} \frac{d(P)}{dt} \;\; or  \;\;	\sum_{n}^{m}   \sum_\vdash^\dashv  \frac{d(P)}{dt}</m> 

[[Physiregion]]<m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \; \;\overset{\boxplus}{P}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \;  \prod_{n}^{m}   \sum_{a}^{b} \frac{d(P)}{dt} \;\;</m> 

[[Physicontinuum]] <m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \;\;\overset{\infty}{P} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}  \; \; \;  \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(P)}{dt}	</m> 

[[Physimulticontinuum]]<m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \;\overset{\infty\infty}{P}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}   \; \; \;\sum_{a}^{b}  \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(P)}{dt}	</m>



\prod_{i=1}^N x_i

=== Symbolic representations of Physaconcepts ===

[[Physaspace]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \stackrel{\circledS}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;   \prod_{n = 0}}^{\infty}  (\overset{\bullet}{\mathfrak{P}\!_{n^1}}, \overset{\bullet\bullet}{\mathfrak{P}_{n^2}}, \overset{-\!-}{\mathfrak{P}_{n^3}}, \overset{\thicksim}{\mathfrak{P}_{n^4}}, \overset{\thickapprox}{\mathfrak{P}_{n^5}},\overset{\boxplus}{\mathfrak{P}_{n^6}},\overset{\infty}{\mathfrak{P}_{n^7}},\overset{\overset{\infty}{\infty}}{\mathfrak{P}}\!_{n^8})</m>


[[Physapoint]]   <m> \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\bullet}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \stackrel{\centerdot}{\mathfrak{P}}  \;\; or  \;\;  \mathfrak{P}(x,y,z,\ldots)</m> 

[[Physamoment]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\bullet\bullet}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \sum_{p^a}^{p^b} (\mathfrak{P})	</m> 

[[Physasection]]    <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{-\!-}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \sum_{c^a}^{c^b} \frac{d(\mathfrak{P})}{dt}	</m> 

[[Physapath]]    <m>\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \;\overset{\thicksim}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \sum_{birth}^{death} \frac{d(\mathfrak{P})}{dt}  \;\; or   \;\;  \sum_\vdash^\dashv  \frac{d(\mathfrak{P})}{dt}</m> 	

[[Physavenue]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\thickapprox}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \sum_{n}^{m}   \sum_{birth}^{death} \frac{d(\mathfrak{P})}{dt} \;\; or  \;\;	\sum_{n}^{m}   \sum_\vdash^\dashv  \frac{d(\mathfrak{P})}{dt}</m> 

[[Physaregion]]<m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\boxplus}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \prod_{n}^{m}   \sum_{a}^{b} \frac{d(\mathfrak{P})}{dt} \;\;</m> 

[[Physacontinuum]] <m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\infty}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(\mathfrak{P})}{dt}	</m> 

[[Physamulticontinuum]]<m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \;\overset{\overset{\infty}{\infty}}{\mathfrak{P}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \;\sum_{a}^{b}  \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(\mathfrak{P})}{dt}	</m>

===Symbolic representations of Awareconcepts===


[[Awarespace]]   <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \stackrel{\circledS}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;   \prod_{n = 0}}^{\infty}  (\overset{\bullet}{C\!_{n^1}}, \overset{\bullet\bullet}{C_{n^2}}, \overset{-\!-}{C_{n^3}}, \overset{\thicksim}{C_{n^4}}, \overset{\thickapprox}{C_{n^5}},\overset{\boxplus}{C_{n^6}},\overset{\infty}{C_{n^7}},\overset{\overset{\infty}{\infty}}{C}\!_{n^8})</m>


[[Awarepoint]]   <m> \;\; \overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow}   \; \overset{\bullet}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;   \;\;  C(x,y,z,\ldots)</m> 

[[Awaremoment]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow}   \; \overset{\bullet\bullet}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \sum_{p^a}^{p^b} (C)	</m> 

[[Awaresection]]    <m>\;\;\overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow}   \; \overset{-\!-}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \sum_{c^a}^{c^b} \frac{d(C)}{dt}	</m> 

[[Awarepath]]    <m>\overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow}   \; \overset{\thicksim}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \sum_{birth}^{death} \frac{d(C)}{dt}  \;\; or   \;\;  \sum_\vdash^\dashv  \frac{d(C)}{dt}</m> 	

[[Awarevenue]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow}   \; \overset{\thickapprox}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \sum_{n}^{m}   \sum_{birth}^{death} \frac{d(C)}{dt} \;\; or  \;\;	\sum_{n}^{m}   \sum_\vdash^\dashv  \frac{d(C)}{dt}</m> 

[[Awareregion]]<m> \;\;\overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow}   \; \overset{\boxplus}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \prod_{n}^{m}   \sum_{a}^{b} \frac{d(C)}{dt} \;\;</m> 

[[Awarecontinuum]] <m>\;\; \overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow}  \; \overset{\infty}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(C)}{dt}	</m> 

[[Awaremulticontinuum]]<m>\;\; \overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow}  \; \overset{\overset{\infty}{\infty}}{C}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;\sum_{a}^{b}  \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(C)}{dt}	</m>

===Symbolic representations of Mentaconcepts===

[[Mentaspace]]   <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \stackrel{\circledS}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;   \prod_{n = 0}}^{\infty}  (\overset{\bullet}{\mathfrak{C}\!_{n^1}}, \overset{\bullet\bullet}{\mathfrak{C}_{n^2}}, \overset{-\!-}{\mathfrak{C}_{n^3}}, \overset{\thicksim}{\mathfrak{C}_{n^4}}, \overset{\thickapprox}{\mathfrak{C}_{n^5}},\overset{\boxplus}{\mathfrak{C}_{n^6}},\overset{\infty}{\mathfrak{C}_{n^7}},\overset{\overset{\infty}{\infty}}{\mathfrak{C}}\!_{n^8})</m>


[[Mentapoint]]   <m> \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \; \overset{\bullet}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \;\;  \mathfrak{C}(x,y,z,\ldots)</m> 

[[Mentamoment]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \; \overset{\bullet\bullet}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \sum_{p^a}^{p^b} (\mathfrak{C})	</m> 

[[Mentasection]]    <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{-\!-}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{c^a}^{c^b} \frac{d(\mathfrak{C})}{dt}	</m> 

[[Mentapath]]    <m>\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\thicksim}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{birth}^{death} \frac{d(\mathfrak{C})}{dt}  \;\; or   \;\;  \sum_\vdash^\dashv  \frac{d(\mathfrak{C})}{dt}</m> 	

[[Mentavenue]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\thickapprox}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{n}^{m}   \sum_{birth}^{death} \frac{d(\mathfrak{C})}{dt} \;\; or  \;\;	\sum_{n}^{m}   \sum_\vdash^\dashv  \frac{d(\mathfrak{C})}{dt}</m> 

[[Mentaregion]]<m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\boxplus}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \prod_{n}^{m}   \sum_{a}^{b} \frac{d(\mathfrak{C})}{dt} \;\;</m> 

[[Mentacontinuum]] <m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\infty}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(\mathfrak{C})}{dt}	</m> 

[[Mentamulticontinuum]]<m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\overset{\infty}{\infty}}{\mathfrak{C}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \;\sum_{a}^{b}  \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(\mathfrak{C})}{dt}	</m>

===Symbolic representations of Ixpeconcepts===

[[Ixpespace]]   <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \stackrel{\circledS}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;   \prod_{n = 0}}^{\infty}  (\overset{\bullet}{\mathfrak{X}\!_{n^1}}, \overset{\bullet\bullet}{\mathfrak{X}_{n^2}}, \overset{-\!-}{\mathfrak{X}_{n^3}}, \overset{\thicksim}{\mathfrak{X}_{n^4}}, \overset{\thickapprox}{\mathfrak{X}_{n^5}},\overset{\boxplus}{\mathfrak{X}_{n^6}},\overset{\infty}{\mathfrak{X}_{n^7}},\overset{\overset{\infty}{\infty}}{\mathfrak{X}}\!_{n^8})</m>

[[Ixpepoint]]   <m> \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\bullet}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \;   \;\;  \mathfrak{X}(x,y,z,\ldots)</m> 

[[Ixpemoment]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\bullet\bullet}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \sum_{p^a}^{p^b} (\mathfrak{X})	</m> 

[[Ixpesection]]    <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{-\!-}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{c^a}^{c^b} \frac{d(\mathfrak{X})}{dt}	</m> 

[[Ixpepath]]    <m>\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\thicksim}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{birth}^{death} \frac{d(\mathfrak{X})}{dt}  \;\; or   \;\;  \sum_\vdash^\dashv  \frac{d(\mathfrak{X})}{dt}</m> 	

[[Ixpevenue]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\thickapprox}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{n}^{m}   \sum_{birth}^{death} \frac{d(\mathfrak{X})}{dt} \;\; or  \;\;	\sum_{n}^{m}   \sum_\vdash^\dashv  \frac{d(\mathfrak{X})}{dt}</m> 

[[Ixperegion]]<m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\boxplus}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \prod_{n}^{m}   \sum_{a}^{b} \frac{d(\mathfrak{X})}{dt} \;\;</m> 

[[Ixpecontinuum]] <m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\infty}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(\mathfrak{X})}{dt}	</m> 

[[Ixpemulticontinuum]]<m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\overset{\infty}{\infty}}{\mathfrak{X}}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \;\sum_{a}^{b}  \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(\mathfrak{X})}{dt}	</m>

===Symbolic representations of Epiconcepts===


[[Epispace]]   <m> \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \stackrel{\circledS}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}      \; \; \;   \prod_{n = 0}}^{\infty}  (\overset{\bullet}{\Bbbk\!_{n^1}}, \overset{\bullet\bullet}{\Bbbk_{n^2}}, \overset{-\!-}{\Bbbk_{n^3}}, \overset{\thicksim}{\Bbbk_{n^4}}, \overset{\thickapprox}{\Bbbk_{n^5}},\overset{\boxplus}{\Bbbk_{n^6}},\overset{\infty}{\Bbbk_{n^7}},\overset{\overset{\infty}{\infty}}{\Bbbk}\!_{n^8})</m>


[[Epipoint]]   <m> \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\bullet}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \;  \;\;   \Bbbk(x,y,z,\ldots)</m> 

[[Epimoment]] <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\bullet\bullet}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{p^a}^{p^b} (\Bbbk)	</m> 

[[Episection]]    <m>\;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{-\!-}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{c^a}^{c^b} \frac{d(\Bbbk)}{dt}	</m> 

[[Epipath]]    <m>\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\thicksim}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \sum_{birth}^{death} \frac{d(\Bbbk)}{dt}  \;\; or   \;\;  \sum_\vdash^\dashv  \frac{d(\Bbbk)}{dt}</m> 	

[[Epivenue]] <m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\thickapprox}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \;  \; \sum_{n}^{m}   \sum_{birth}^{death} \frac{d(\Bbbk)}{dt} \;\; or  \;\;	\sum_{n}^{m}   \sum_\vdash^\dashv  \frac{d(\Bbbk)}{dt}</m> 

[[Epiregion]]<m> \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\boxplus}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \prod_{n}^{m}   \sum_{a}^{b} \frac{d(\Bbbk)}{dt} \;\;</m> 

[[Epicontinuum]] <m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\infty}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \; \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(\Bbbk)}{dt}	</m> 

[[Epimulticontinuum]]<m>\;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow}  \; \; \overset{\overset{\infty}{\infty}}{\Bbbk}  \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow}     \; \; \; \;\sum_{a}^{b}  \prod_{-\infty }^{\infty }   \sum_{-\!\infty }^{\infty } \frac{d(\Bbbk)}{dt}	</m>



{{See also: Awaretheory equations}}



===tools===

<m>\dashv </m> sudden death

Sum	\sum_{k=1}^N k^2

\overbrace{ito} ^{\dot}

<m>\overbrace{ito} ^{\dot}</m>

<m>\overbrace{ 1+2+\cdots+100 }^{5050}</m>

\circledcirc
<m>\overbrace{ito} ^{dot}</m>

<m>\overbrace{ito} ^{\bullet}</m>

<m>\overbrace{ito} ^{\bullet,\bullet}</m>

<m> \dot{ito} </m>,<m> \ddot{ito} </m>, <m>  \hat{ito} </m>


\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}	

<m>\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}</m> 	




\Alpha \Beta \Gamma \Delta \Epsilon \Zeta	

<m>\Alpha</m><m> \Beta </m><m>\Gamma </m><m>\Delta </m><m>\Epsilon </m><m>\Zeta</m> 	

\Eta \Theta \Iota \Kappa \Lambda \Mu	

<m>\Eta </m><m>\Theta </m><m>\Iota </m><m>\Kappa </m><m>\Lambda</m><m> \Mu </m> 	

\Nu \Xi \Pi \Rho \Sigma \Tau	

<m>\Nu </m><m>\Xi </m><m>\Pi </m><m>\Rho </m><m>\Sigma</m><m> \Tau	</m> 

\Upsilon \Phi \Chi \Psi \Omega	

<m>\Upsilon \Phi \Chi \Psi \Omega</m> 	

\alpha \beta \gamma \delta \epsilon \zeta	

<m>\alpha \beta \gamma \delta \epsilon \zeta</m> 	

\eta \theta \iota \kappa \lambda \mu	

<m>\eta \theta \iota \kappa \lambda \mu</m> 	

\nu \xi \pi \rho \sigma \tau	

<m>\nu \xi \pi \rho \sigma \tau</m> 	

\upsilon \phi \chi \psi \omega	

<m>\upsilon \phi \chi \psi \omega</m> 	

\varepsilon \digamma \vartheta \varkappa	

<m>\varepsilon \digamma \vartheta \varkappa</m> 	

\varpi \varrho \varsigma \varphi	

<m>\varpi \varrho \varsigma \varphi</m> 	


\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta}	
<m>\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta}	</m>

\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}	
<m>\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}	</m>

\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}	
<m>\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}</m>	

\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}	
<m>\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}</m>	

\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}	
<m>\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}</m>	

\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}	
<m>\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}</m>	

\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}	
<m>\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}</m>	

\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}	
<m>\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}</m>	

\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}	
<m>\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}</m>	

\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}	
<m>\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}</m>	



&alpha;&beta; &gamma; &delta; &epsilon; &zeta;
&eta; &theta; &iota; &kappa; &lambda; &mu; &nu;
&xi; &omicron; &pi; &rho;  &sigma; &sigmaf;
&tau; &upsilon; &phi; &chi; &psi; &omega;
&Gamma; &Delta; &Theta; &Lambda; &Xi; &Pi;
&Sigma; &Phi; &Psi; &Omega;



Cyrillic

А а Ә ә Б б В в Г г Ґ ґ Ѓ ѓ Ғ ғ Д д Ђ ђ Е е Є є Ё ё Ж ж З з Ѕ ѕ И и І і Ї ї İ Й й Ӣ ӣ Ј ј К к Ќ ќ Қ қ Лл Љ љ  М м Н н Њ њ Ң ң О о Ө ө П п Р р С с Т т Ћ ћ У у Ў ў Ӯ ӯ Ұ ұ Ү ү Ф ф Х х Ҳ ҳ Һ һ Ц ц Ч ч Ҷ ҷ Џ џ Ш ш Щ щ Ъ ъ Ы ы  Ь ь Э э Ю ю Я я


Sum	\sum_{k=1}^N k^2	<m> \sum_{k=1}^N k^2</m>	

Sum (force \textstyle)	\textstyle \sum_{k=1}^N k^2<m>	\textstyle \sum_{k=1}^N k^2	</m>

Product	\prod_{i=1}^N x_i	<m>\prod_{i=1}^N x_i </m>

Product (force \textstyle)	\textstyle \prod_{i=1}^N x_i	<m>\textstyle \prod_{i=1}^N x_i</m>	

Coproduct	\coprod_{i=1}^N x_i	  <m> \coprod_{i=1}^N x_i</m>	

Coproduct (force \textstyle)	\textstyle \coprod_{i=1}^N x_i	<m>\textstyle \coprod_{i=1}^N x_i</m>


1_w.3_vM(O_{ab},E_{nm},D_{xy})   

<m>  Ori_w(O_a,U,E,D,T,S,C) </m> 


<m>\overset{\underset{\mathrm{def}}{}}{=}</m> 

<m>\overset{\underset{\mathrm{def}}{}}{\equiv }</m> 

<m>\overset{\underset{\mathrm{def}}{}}{\Longleftrightarrow (or \iff) }</m> 

<m>\overset{\underset{\mathrm{def}}{}}{\Longleftrightarrow}</m> 


<m>\overset{\underset{\mathrm{Symbolic}}{}}{\Longleftrightarrow}</m> 


<m>\overset{\underset{\mathrm{Symbolic definition}}{}}{\Longleftrightarrow}</m> 


<m>\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}</m> 




<m>  Ori   \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}    (O,U,E,D,T,S,C) </m>





<m>1_w.1_vB(O_{ab})    \xleftarrow{Compaction} \dot= \xrightarrow{Elaboration}     Ori_w(O_a,U,E,D,T,S,C) =B= Ori_v(O_b,U,E,D,T,S,C)</m>


\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}	
\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto	

<m>\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}	</m> 
<m>\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto</m>


\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow (or \iff)	



<m>\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow (or \iff)</m>