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Symbolic definitions part3

From Aware Theory


Symbolic representations of Itobodies

Itoidentireplica, Ito Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\overset {\underset {\mathrm {Symbolic\;definition} }{}}{\Longleftrightarrow }}\;\sum _{ori}^{simi}(O,U,E,D,T,S,F,N)\;where\;X_{ori}=X_{ito}}

Original, Ori Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\overset {\underset {\mathrm {Symbolic\;definition} }{}}{\Longleftrightarrow }}\;(O,U,E,D,T,S,F,N)}

Idoriginal, Ido Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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}}

Coriginal, Cori

Cidentireplica, Cito

Videntireplica, Vito Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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}}

Fidentireplica, Fito Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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}}

Isoidentireplica, Iso Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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}}

Enhaidentireplica, Enha

Musidentireplica, Mus Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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}}

Insidentireplica, Insi Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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}}

Tridentireplica, Trito Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\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}}

Nrgidentireplica, Nrg Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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} }

Comboidentireplica, Combo Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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} }

Simidentireplica, Simi Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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} }


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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \; \sum_{ori}^{simi} (O,U,E,D,T,S,F,N) \; }

Original, Ori Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \;\; (O,U,E,D,T,S,F,N) }

Idoriginal, Ido Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \;\; (O,U^{h},E^{m},D^{x},T^{i},S,F,N^{q}) \; }

Coriginal, Cori Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Pi,F^\pi,N^{q}) \; }

Cidentireplica, Cito Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; (O,U^{h},E^{m},D^{x},T^{i},S,F,N^{q}) \; }

Videntireplica, Vito Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Delta,F^\delta,N^{q}) \; }

Fidentireplica, Fito Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Upsilon,F^\upsilon,N^{q}) \; }

Isoidentireplica, Iso Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Psi,F^\psi,N^{q})\; }

Enhaidentireplica, Enha Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Lambda,F^\lambda,N^{q})\; }

Musidentireplica, Mus Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Phi,F^\phi,N^{q})\; }

Insidentireplica, Insi Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \;\; (O,U^{h},E^{m},D^{x},T^{i},S^\Theta,F^\theta,N^{q})\; }

Tridentireplica, Trito Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \;\; (O,U^{h},E^{m},D^{x},T^{i},S^\Gamma,F^\gamma,N^{q})\; }

Nrgidentireplica, Nrg Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; \; (O,U^{h},E^{m},D^{x},T^{i},S^\Omega,F^\omega,N^{q})\; }

Comboidentireplica, Combo Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \; \; \prod_{ori}^{simi} (O,U^{h},E^{m},D^{x},T^{i},S^\Sigma,F^\sigma,N^{q})\; }

Simidentireplica, Simi Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longrightarrow} \;\; (O,U^{h},E^{m},D^{x},T^{i},S^\Xi,F^\xi,N^{q}) \; }

Symbolic representations of Fazconcepts

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle S^\Omega,F^\omega\; } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle S^\Gamma,F^\gamma\; }


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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \And } means all the other related knowledge like how to produce a certain physapath or ixpepath.


Physiconcept Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \; \;\frac{d(O,U,E,D,T,S,F)}{dt}\ \;\Longleftrightarrow }

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\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}\,}

Physaconcept Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \; \;\frac{d(O,U,S,F)}{dt}\}

Awareconcept Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \; \;\frac{d(con)}{dt}\ \; or\;\frac{d(C)}{dt}\}

Mentaconcept Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \; \;\frac{d(men)}{dt}\\; or \;\frac{d(TC)}{dt}\ \}

Ixpeconcept Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \; \;\frac{d(ixpe)}{dt}\ \; or\;\frac{d(X)}{dt}}

Epiconcept Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\;\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} }

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\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} }

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \; \Bbbk\frac{d(O,U,E,D,T,S,F,C,TC,N,X,\Bbbk,\And )}{dt}\;}

Symbolic representations of Physiconcepts

PhysispaceFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \;} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace{Physi} ^{\circledS}}

Physipoint Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \;} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace{ P(x,y,z,\ldots)} ^{\bullet}}

Physimoment Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \;} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace{Physi} ^{\bullet\bullet}}

Physisection Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} \;}

Physipath

Physivenue Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \overbrace {Physi} ^{\thickapprox }}

Physiregion Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \overbrace {\;\prod _{n}^{m}\sum _{a}^{b}{\frac {d(P)}{dt}}\;\;} ^{\boxplus }}

Physicontinuum Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \overbrace {Physi} ^{\infty }}

Physimulticontinuum Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \overbrace {Physi} ^{\infty \infty }}


Physispace Failed to parse (syntax error): {\displaystyle \;\;\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})}


Physipoint

Physimoment Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \;\;{\overset {\underset {\mathrm {Symbolic\;Representation} }{}}{\Longrightarrow }}\;\;\;\;{\overset {\bullet \bullet }{P}}\;\;{\overset {\underset {\mathrm {mathematical\;definition} }{}}{\Longrightarrow }}\;\;\;\sum _{p^{a}}^{p^{b}}(P)}

Physisection Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \;\;{\overset {\underset {\mathrm {Symbolic\;Representation} }{}}{\Longrightarrow }}\;\;\;\;{\overset {-\!-}{P}}\;\;{\overset {\underset {\mathrm {mathematical\;definition} }{}}{\Longrightarrow }}\;\;\;\sum _{c^{a}}^{c^{b}}{\frac {d(P)}{dt}}}

Physipath

Physivenue

PhysiregionFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} \;\;}

Physicontinuum Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \;\;{\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}}}

PhysimulticontinuumFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }


\prod_{i=1}^N x_i

Symbolic representations of Physaconcepts

Physaspace Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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})}


Physapoint Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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)}

Physamoment Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\bullet\bullet}{\mathfrak{P}} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \; \sum_{p^a}^{p^b} (\mathfrak{P}) }

Physasection Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} }

Physapath Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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}}

Physavenue Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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}}

PhysaregionFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} \;\;}

Physacontinuum Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

PhysamulticontinuumFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

Symbolic representations of Awareconcepts

Awarespace Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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})}


Awarepoint Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow} \; \overset{\bullet}{C} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \;\; C(x,y,z,\ldots)}

Awaremoment Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow} \; \overset{\bullet\bullet}{C} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \sum_{p^a}^{p^b} (C) }

Awaresection Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; representation}}{}}{\Longrightarrow} \; \overset{-\!-}{C} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \sum_{c^a}^{c^b} \frac{d(C)}{dt} }

Awarepath Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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}}

Awarevenue Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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}}

AwareregionFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} \;\;}

Awarecontinuum Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

AwaremulticontinuumFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

Symbolic representations of Mentaconcepts

Mentaspace Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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})}


Mentapoint Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \; \overset{\bullet}{\mathfrak{C}} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \;\; \mathfrak{C}(x,y,z,\ldots)}

Mentamoment Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \; \overset{\bullet\bullet}{\mathfrak{C}} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \sum_{p^a}^{p^b} (\mathfrak{C}) }

Mentasection Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} }

Mentapath Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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}}

Mentavenue Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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}}

MentaregionFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} \;\;}

Mentacontinuum Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

MentamulticontinuumFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

Symbolic representations of Ixpeconcepts

Ixpespace Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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})}

Ixpepoint Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\bullet}{\mathfrak{X}} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \; \;\; \mathfrak{X}(x,y,z,\ldots)}

Ixpemoment Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\bullet\bullet}{\mathfrak{X}} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \; \sum_{p^a}^{p^b} (\mathfrak{X}) }

Ixpesection Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} }

Ixpepath Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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}}

Ixpevenue Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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}}

IxperegionFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} \;\;}

Ixpecontinuum Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

IxpemulticontinuumFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

Symbolic representations of Epiconcepts

Epispace Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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})}


Epipoint Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\bullet}{\Bbbk} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \; \;\; \Bbbk(x,y,z,\ldots)}

Epimoment Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{\bullet\bullet}{\Bbbk} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \; \sum_{p^a}^{p^b} (\Bbbk) }

Episection Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\overset{\underset{\mathrm{Symbolic\; Representation}}{}}{\Longrightarrow} \; \; \overset{-\!-}{\Bbbk} \;\;\overset{\underset{\mathrm{mathematical\; definition}}{}}{\Longrightarrow} \; \; \; \; \sum_{c^a}^{c^b} \frac{d(\Bbbk)}{dt} }

Epipath Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \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}}

Epivenue Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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}}

EpiregionFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\;\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} \;\;}

Epicontinuum Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }

EpimulticontinuumFailed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \;\; \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} }


Template:See also: Awaretheory equations


See also:

http://meta.wikimedia.org/wiki/Help:Formula, test

Introduction and foundations concepts; (out dated).

Mathematics of conscious survival, An introduction to the Mathematics of immortality, Mathematics of immortality,

Symbolic definitions, Symbolic definitions part2, Symbolic definitions part3, Symbolic definitions part 4,

Introduction and Foundation Concepts for Itoequations

Simple citoequations, Simple citoequations 2, Simple citoequations 3,

Citoequations 1, Citoequations 2, Citoequations 3, Citoequations 4, Citoequations 5,

Advanced citoequations, Advanced citoequations 1, Advanced citoequations 2, Advanced citoequations 3,

Combined equations, Combined equations 1

Important citoequations, Important citoequations 1, Important citoequations 2

Itodifferential equations, Fazdifferential equations, Itofazdifferential equations

itofazmapping equations, Itofazspace mapping equations, Itobehavior equations

Introduction to Itoproduction equations, Itoproduction equations, Itoproduction equations, Itoproduction equations 1, Itoproduction equations 2, Itoproduction equations 3,

Itoequation logic

Oriequations, Idoequations, Coriequations, Citoequations, Vitoequations, Fitoequations, Isoequations, Bioequations, Enhaequations, Musequations, Insiequations, Tritoequations, Nrgequations, Comboequations, and Simiequations,

Itosynchronization equations, Itofuturality equations, Itohistorality equations, Itotimultiplicity equations, Itocelerity equations, Itoquondamality equations, Itoprospectality equations, Itosimultaneousness equations, Itoretrogression equations, Itotemporality equations, Itorepetition equations Itoreversion equations, Itoprogression equations, Itosucession equations,

Fazsynchronization equations, Fazfuturality equations, Fazhistorality equations, Faztimultiplicity equations, Fazcelerity equations, Fazquondamality equations, Fazprospectality equations, Fazsimultaneousness equations, Fazretrogression equations, Faztemporality equations, Fazrepetition equations Fazreversion equations, Fazprogression equations, Fazsucession equations,

Itoinception equations, Itoexordium equations, Itocreation equations, Itomodality equations, Itoautochthonality equations, Itocausality equations, Itoerudition equations,

Itocontinuance equations, Itoextension equations, Itocontinuity equations, Itodiscontinuity equations, Itoidentity equations, Itosimidentity equations, Itosimicontinuance equations, Itosimiextension equations, Itosimicontinuity equations, Itosimidiscontinuity equations,

Itoconvergence equations, Itodivergence equations, Itomultivergence equations, Itosimiconvergence equations, Itosimidivergence equations, Itomultisimivergence equations, itocrossdivergence equations, itocrossconvergence equations, itosimimultivergence equations, itocrossmultivergence equations, itosimicrossmultivergence equations,

Fazconvergence equations, Fazdivergence equations, Fazmultivergence equations, Fazsimiconvergence equations, Fazsimidivergence equations, Fazmultisimivergence equations, Fazcrossdivergence equations, Fazcrossconvergence equations, Fazsimimultivergence equations, Fazcrossmultivergence equations, Fazsimicrossmultivergence equations,

Fazequations physiequations, physaequations, neuroequations, awarequations, mentaequations, ixpequations, epiequations,

fazmapping, itomapping, itofazmapping, itomapping equations, fazmapping equations, itofazmapping equations,

faztransformation, itotransformation, itofaztransformation, itotransformation equations, faztransformation equations, itofaztransformation equations

Behavior equations, Consciousness equations, Ixperiencitness equations, Mentality equations,

Itobehavior equations, Oribehavior equations, Idobehavior equations, Coribehavior equations, Citobehavior equations, Vitobehavior equations, Fitobehavior equations, Isobehavior equations, Biobehavior equations, Enhabehavior equations, Musbehavior equations, Insibehavior equations, Tritobehavior equations, Nrgbehavior equations, Combobehavior equations, and Simibehavior equations.


tools

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dashv } sudden death

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

\overbrace{ito} ^{\dot}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace{ito} ^{\dot}}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace{ 1+2+\cdots+100 }^{5050}}

\circledcirc Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace{ito} ^{dot}}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace{ito} ^{\bullet}}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace{ito} ^{\bullet,\bullet}}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot{ito} } ,Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ddot{ito} } , Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \hat{ito} }


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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}}



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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Alpha} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Beta } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Gamma } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Delta } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Epsilon } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Zeta}

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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Eta } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Theta } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Iota } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Kappa } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Lambda} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Mu }

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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Nu } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Xi } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Pi } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Rho } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Sigma} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Tau }

\Upsilon \Phi \Chi \Psi \Omega

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Upsilon \Phi \Chi \Psi \Omega}

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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha \beta \gamma \delta \epsilon \zeta}

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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \eta \theta \iota \kappa \lambda \mu}

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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \nu \xi \pi \rho \sigma \tau}

\upsilon \phi \chi \psi \omega

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \upsilon \phi \chi \psi \omega}

\varepsilon \digamma \vartheta \varkappa

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \varepsilon \digamma \vartheta \varkappa}

\varpi \varrho \varsigma \varphi

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \varpi \varrho \varsigma \varphi}


\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta} }

\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu} }

\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}}

\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}}

\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}}

\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}}

\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}}

\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}}

\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}}

\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi} Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}}


αβ γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ σ ς τ υ φ χ ψ ω Γ Δ Θ Λ Ξ Π Σ Φ Ψ Ω


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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{k=1}^N k^2}

Sum (force \textstyle) \textstyle \sum_{k=1}^N k^2Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \textstyle \sum_{k=1}^N k^2 }

Product \prod_{i=1}^N x_i Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \prod_{i=1}^N x_i }

Product (force \textstyle) \textstyle \prod_{i=1}^N x_i Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \textstyle \prod_{i=1}^N x_i}

Coproduct \coprod_{i=1}^N x_i Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \coprod_{i=1}^N x_i}

Coproduct (force \textstyle) \textstyle \coprod_{i=1}^N x_i Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \textstyle \coprod_{i=1}^N x_i}


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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Ori_w(O_a,U,E,D,T,S,C) }


Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{def}}{}}{=}}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{def}}{}}{\equiv }}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{def}}{}}{\Longleftrightarrow (or \iff) }}

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{def}}{}}{\Longleftrightarrow}}


Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic}}{}}{\Longleftrightarrow}}


Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic definition}}{}}{\Longleftrightarrow}}


Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow}}



Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Ori \overset{\underset{\mathrm{Symbolic\; definition}}{}}{\Longleftrightarrow} (O,U,E,D,T,S,C) }



Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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)}


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

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=} } Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto}


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


Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow (or \iff)}