# Simple citoequations

Simple citoequations, Simple citoequations 2, Simple citoequations 3,

#### Orilocationality equations

The symbol $\;\;\blacktriangleleft \;\;$ replaces the expression $\;\;\xleftarrow{Compaction} \dot= \xrightarrow{Elaboration} \;\;$ for reasons of simplicity.

Orilocationality equations for an original deals with how the change in placement in space of the original changes its physical functioning, behavior, consciousness, and ixperiencitness.

The expression $=\!\!P\!\!=$ represents physical identity.

This equation represents the Principle of Spacial Oriphysicality the Specific Case

$1.1PD_1^2 \;\; \xleftarrow{Compaction} \dot= \xrightarrow{Elaboration} \;\; Ori(O,U,E,D_1,T,S,F) =\!\!P\!\!= Ori(O,U,E,D_2,T,S,F)$

If we change only the placement of the original it should not effect it’s being physically (P) identical if all other factors are the same.

This equation represents the Principle of Spacial Oriphysicality the General Case.

$1.1PD_1^y \blacktriangleleft Ori(O,U,E,D_1,T,S,F) =\!\!P\!\!= Ori(O,U,E,D_y,T,S,F)$

If we change only the placement of the original it should not effect it’s being physically (P) identical if all other factors are the same.

The expression $=\!\!F\!\!=$ represents functioning identity.

This equation represents the Principle of Spacial Orifunctionality the Specific Case

$1.1FD_1^2 \blacktriangleleft Ori(O,U,E,D_1,T,S,F) =\!\!F\!\!= Ori(O,U,E,D_2,T,S,F)$

If we change only the placement of the original it should not effect it’s being functionally (F) identical if all other factors are the same.

This equation represents the Principle of Spacial Orifunctionality the General Case.

$1.1FD_1^y \blacktriangleleft Ori(O,U,E,D_1,T,S,F) =\!\!F\!\!= Ori(O,U,E,D_y,T,S,F)$

If we change only the placement of the original it should not effect it’s being functionally (F) identical if all other factors are the same.

The expression $=\!\!B\!\!=$ represents identical behavior.

This equation represents the Principle of Spacial Oribehavior the Specific Case

$1.1D_1^2 \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!B\!\!= Ori(O,U,D_2,T,S,F)$

The original, if it was in a different space, made of different matter, would still behave the same. This is because its structure and functioning is the same.

This equation represents the Principle of Spacial Oribehavior the General Case.

$1.1BD_1^n \blacktriangleleft Ori(O,U,E,D_1,T,S,F) =\!\!B\!\!= Ori(O,U,E,D_n,T,S,F)$

In this general case, the original in any other space, and made of any other matter, where the other conditions are met, will have the same behavior.

The expression $=\!\!C\!\!=$ represents identical consciousness.

This equation represents the Principle of Spacial Oriconsciousness the Specific Case

$1.1CD_1^2 \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!C\!\!= Ori(O,U,D_2,T,S,F)$

The original, if it was in a different space, would still have the same consciousness. This is because its structure and functioning is the same.

This equation represents the Principle of Spacial Oriconsciousness the General Case.

$1.1CD_1^n \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!C\!\!= Ori(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same consciousness.

The expression $=\!\!X\!\!=$ represents identical ixperiencitness.

This equation represents the Principle of Spacial Orixperiencitness the Specific Case

$1.1XD_1^2 \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!X\!\!= Ori(O,U,D_2,T,S,F)$

The original, if it was in a different space, would still have the same ixperiencitness. This is because its structure and functioning is the same.

This equation represents the Principle of Spacial Orixperiencitness the General Case.

$1.1XD_1^n \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!X\!\!= Ori(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same ixperiencitness.

The expression $=\!\!M\!\!=$ represents identical mentality which is a union of both $=\!\!C\!\!= \; and \; =\!\!X\!\!=$.

This equation represents the Principle of Spacial Orimentality the Specific Case

$1.1MD_1^2 \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!M\!\!= Ori(O,U,D_2,T,S,F)$

The original, if it was in a different space, would still have the same consciousness. This is because its structure and functioning is the same.

This equation represents the Principle of Spacial Orimentality the General Case.

$1.1MD_1^n \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!M\!\!= Ori(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same consciousness.

Oridimensionality equations for originals deals with how the change in placement in space of different originals changes their physical functioning, behavior, consciousness and ixperiencitness.

The expression $=\!\!P\!\!=$ represents physical identity.

This equation represents the Principle of Spacial Oriphysicality the Specific Case

$1_u1_wPD_1^2 \blacktriangleleft Ori_u(O,U,E,D_1,T,S,F) =\!\!P\!\!= Ori_w(O,U,E,D_2,T,S,F)$

If we change only the placement of the original it should not effect it’s being physically (P) identical if all other factors are the same.

This equation represents the Principle of Spacial Oriphysicality the General Case.

$1_u1_wPD_1^y \blacktriangleleft Ori_u(O,U,E,D_1,T,S,F) =\!\!P\!\!= Ori_w(O,U,E,D_y,T,S,F)$

If we change only the placement of the original it should not effect it’s being physically (P) identical if all other factors are the same.

The expression $=\!\!F\!\!=$ represents functioning identity.

This equation represents the Principle of Spacial Orifunctionality the Specific Case

$1_u1_wFD_1^2 \blacktriangleleft Ori_u(O,U,E,D_1,T,S,F) =\!\!F\!\!= Ori_w(O,U,E,D_2,T,S,F)$

If we change only the placement of the original it should not effect it’s being functionally (F) identical if all other factors are the same.

This equation represents the Principle of Spacial Orifunctionality the General Case.

$1_u1_wFD_1^y \blacktriangleleft Ori_u(O,U,E,D_1,T,S,F) =\!\!F\!\!= Ori_w(O,U,E,D_y,T,S,F)$

If we change only the placement of the original it should not effect it’s being functionally (F) identical if all other factors are the same.

The expression $=\!\!B\!\!=$ represents the expression for identical behavior.

This equation represents the Principle of Spacial Oribehavior the Specific Case:

$1_u1_wD_1^2 \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!B\!\!= Ori_w(O,U,D_2,T,S,F)$

The original, if it was in a different space, made of different matter, would still behave the same. This is because its structure and functioning is the same.

This equation represents the Principle of Spacial Oribehavior the General Case.

$1_u1_wBD_1^n \blacktriangleleft Ori_u(O,U,E,D_1,T,S,F) =\!\!B\!\!= Ori_w(O,U,E,D_n,T,S,F)$

In this general case, the original in any other space, and made of any other matter, where the other conditions are met, will have the same behavior.

The expression $=\!\!C\!\!=$ represents identical consciousness.

This equation represents the Principle of Spacial Oriconsciousness the Specific Case

$1_u1_wCD_1^2 \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!C\!\!= Ori_w(O,U,D_2,T,S,F)$

The original, if it was in a different space, would still have the same consciousness. This is because its structure and functioning is the same.

This equation represents the Principle of Spacial Oriconsciousness the General Case.

$1_u1_wCD_1^n \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!C\!\!= Ori_w(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same consciousness.

The expression $=\!\!X\!\!=$ represents identical ixperiencitness.

This equation represents the Principle of Spacial Orixperiencitness the Specific Case

$1_u1_wXD_1^2 \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!X\!\!= Ori_w(O,U,D_2,T,S,F)$

The original, if it was in a different space, would still have the same ixperiencitness. This is because its structure and functioning is the same.

This equation represents the Principle of Spacial Orixperiencitness the General Case.

$1_u1_wXD_1^n \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!X\!\!= Ori_w(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same ixperiencitness.

The expression $=\!\!M\!\!=$ represents identical mentality which is a union of both $=\!\!C\!\!= \; and \; =\!\!X\!\!=$.

This equation represents the Principle of Spacial Orimentality the Specific Case

$1_u1_wMD_1^2 \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!M\!\!= Ori_w(O,U,D_2,T,S,F)$

The original, if it was in a different space, would still have the same consciousness. This is because its structure and functioning is the same.

This equation represents the Principle of Spacial Orimentality the General Case.

$1_u1_wMD_1^n \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!M\!\!= Ori_w(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same consciousness.

#### Transitive Spacial Oriequations

The symbol $\rightsquigarrow$ represents a path through space or time.

\rightsquigarrow

This equation represents the Principle of Transitive Spacial Orifunctionality

$1_u1_wFD_\rightsquigarrow^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S{x_n}},T,S,C) =\!\!F\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S{y_n}},T,S,F)$

Any original traveling through any path through space will have identical functioning within its body as a different original has traveling a different path through space if $Ori_u(O,U,E,T,S,C) == Ori_w(O,U,E,T,S,F)$.

This equation represents the Principle of Transitive Spacial Oribehavior

$1_u1_wBD_\rightsquigarrow^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S{x_n}},T,S,C) =\!\!B\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S{y_n}},T,S,F)$

Any original traveling through any path through space will have identical behavior as a different original has traveling a different path through space if $Ori_u(O,U,E,T,S,C) == Ori_w(O,U,E,T,S,F)$.

This equation represents the Principle of Transitive Spacial Oriconsciousness

$1_u1_wCD_\rightsquigarrow^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S{x_n}},T,S,C) =\!\!C\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S{y_n}},T,S,F)$

Any original traveling through any path through space will have identical consciousness produced by its body as a different original has traveling a different path through space if $Ori_u(O,U,E,T,S,C) == Ori_w(O,U,E,T,S,F)$.

This equation represents the Principle of Transitive Spacial Orixperiencitness

$1_u1_wXD_\rightsquigarrow^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S{x_n}},T,S,C) =\!\!X\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S{y_n}},T,S,F)$

Any original traveling through any path through space will have identical ixperiencitness produced by its body as a different original has traveling a different path through space if $Ori_u(O,U,E,T,S,C) == Ori_w(O,U,E,T,S,F)$.

This equation represents the Principle of Transitive Spacial Orimentality

$1_u1_wMD_\rightsquigarrow^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S{x_n}},T,S,C) =\!\!M\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S{y_n}},T,S,F)$

Any original traveling through any path through space will have identical mentality produced by its body as a different original has traveling a different path through space if $Ori_u(O,U,E,T,S,C) == Ori_w(O,U,E,T,S,F)$.

An original travels a complex path through space during it existence. If it would have traveled a different path it would have produced the same consciousness if all the other conditions would have been the same. ${\S_{x_1}^{x_2}}$ defines the path that the path through space that the originally travels through and ${\S_{y_1}^{y_2}}$ is a different path.

$1_u1_wFD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!F\!\!= Ori_u(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wBD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!B\!\!= Ori_u(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wCD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!C\!\!= Ori_u(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wXD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!X\!\!= Ori_u(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wMD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!M\!\!= Ori_u(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wFD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!F\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wBD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!B\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wCD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!C\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wXD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!X\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

$1_u1_wMD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori_u(O,U,E,D_\rightsquigarrow^{\S_{x_1}^{x_2}},T,S,C) =\!\!M\!\!= Ori_w(O,U,E,D_\rightsquigarrow^{\S_{y_1}^{y_2}},T,S,F)$

This equation represents the Principle of Transitive Asymptotic Spacial Orifunctionality

The expression $\rightsquigarrow \Bumpeq\$ represents the concept of a total section of the path being removed do to any number of different reasons.

This equation represents the Principle of Transitive Asymptotic Spacial Orifunctionality

$1_u1_wFD_{\rightsquigarrow\Bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{x_n}},T,S,C) =\!\!F\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{y_n}},T,S,F)$

This equation represents the Principle of Transitive Asymptotic Spacial Oribehavior

$1_u1_wBD_{\rightsquigarrow\Bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{x_n}},T,S,C) =\!\!B\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{y_n}},T,S,F)$

This equation represents the Principle of Transitive Asymptotic Spacial Oriconsciousness

$1_u1_wCD_{\rightsquigarrow\Bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{x_n}},T,S,C) =\!\!C\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{y_n}},T,S,F)$

This equation represents the Principle of Transitive Asymptotic Spacial Orixperiencitness

$1_u1_wXD_{\rightsquigarrow\Bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{x_n}},T,S,C) =\!\!X\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{y_n}},T,S,F)$

This equation represents the Principle of Transitive Asymptotic Spacial Orimentality

$1_u1_wMD_{\rightsquigarrow\Bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{x_n}},T,S,C) =\!\!M\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{y_n}},T,S,F)$

The expression $\rightsquigarrow \bumpeq$ represents the concept of a partial section of the path being removed for any number of different reasons. For instance, not all parts of space can produce the correct structure and functioning of an itobody

This equation represents the Principle of Transitive Simiasymptotic Spacial Orifunctionality

$1_u1_wFD_{\rightsquigarrow\bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{x_n}},T,S,C) =\!\!F\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{y_n}},T,S,F)$

This equation represents the Principle of Transitive Simiasymptotic Spacial Oribehavior

$1_u1_wBD_{\rightsquigarrow\bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{x_n}},T,S,C) =\!\!B\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{y_n}},T,S,F)$

This equation represents the Principle of Transitive Simiasymptotic Spacial Oriconsciousness

$1_u1_wCD_{\rightsquigarrow\bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{x_n}},T,S,C) =\!\!C\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{y_n}},T,S,F)$

This equation represents the Principle of Transitive Simiasymptotic Spacial Orixperiencitness

$1_u1_wXD_{\rightsquigarrow\bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{x_n}},T,S,C) =\!\!X\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{y_n}},T,S,F)$

This equation represents the Principle of Transitive Simiasymptotic Spacial Orimentality

$1_u1_wMD_{\rightsquigarrow\bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{x_n}},T,S,C) =\!\!M\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{y_n}},T,S,F)$

#### Oricitolocationality equations

All the orilocationality equations from the above section can be transformed to Oricitolocationality equations by simply changing Ori to Cito and 1 to 4 in the respective parts of the equation. For example: $1.1XD_1^2 \; \; to \;\; 1.4XD_1^2$ and

$Ori(O,U,E,D_1,T,S,F) =\!\!X\!\!= Ori(O,U,E,D_2,T,S,F)$ to

$Ori(O,U,E,D_1,T,S,F) =\!\!X\!\!= Cito(O,U,E,D_2,T,S,F).$

For brevity sake we will not write all of these equations out.

Oricitolocationality equations relate the physical functioning, behavior, consciousness and ixperiencitness of originals to that of the cidentireplicas and visa versa.

$1.4PD_1^2 \blacktriangleleft Ori(O,U,E,D_1,T,S,F) =\!\!P\!\!= Cito(O,U,E,D_2,T,S,F)$

If we change just the placement of the original and its name it should not effect it’s being physically identical.

$1.4MD_1^2 \blacktriangleleft Ori(O,U,E,D_1,T,S,F) =\!\!M\!\!= Cito(O,U,E,D_2,T,S,F)$

This equation means that if the cidentireplica was in a different place than the original it will still have the same consciousness and ixperiencitness or mentality that the original does.

$1.4MD_x^y \blacktriangleleft Ori(O,U,E,D_x,T,S,F) =\!\!M\!\!= Cito(O,U,E,D_y,T,S,F)$

This equation means that if the original would have been in any different place and all other aspects were the same, the consciousness and ixperiencitness of the cidentireplica in any other place would be the same.

Principle of Oricitobehavior Specific case

Equation $1.4BD_1^2 \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!B\!\!= Cito(O,U,D_2,T,S,F)$

The original, if it was in a different space, made of different matter, would still behave the same. This is because its structure functioning is the same.

General case Equation $1.4BD_1^n \blacktriangleleft Ori(O,U,D_1,T,S,F) =\!\!B\!\!= Cito(O,U,D_n,T,S,F)$

In this general case, the original in any other space, and made of any other matter, where the other conditions are met, will have the same behavior.

This equation represents the Principle of Spacial Orimentality the General Case.

$1_u4_wMD_1^n \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!M\!\!= Cito_w(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same consciousness and ixperiencitness as the cidentireplica.

Physabementality is a term for the combination of the concepts of physical functioning behavior consciousness and ixperiencitness.

$\mathbb{Z}$ represents the combination of the concepts of physical functioning, behavior, consciousness and ixperiencitness of the itobody.

This equation represents the Principle of Spacial Oricitophysabementality the General Case.

$1_u4_wMD_1^n \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!\mathbb{Z}\!\!= Cito_w(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same physical functioning, behavior consciousness and ixperiencitness as the cidentireplica.

Since identical physical functioning is actually part of the basic assumption when Ori_u(S,F) == Cito_w(S,F),</m> and behavior follows deductively from this basic assumption the most important information is the identity of consciousness and ixperiencitness. as a result for simplicity sake equations that unite and relate consciousness and ixperiencitness are the ones with the most importance.

Spacial Oricitomentality equation the General Case.

$1_u4_wMD_1^n \blacktriangleleft Ori_u(O,U,D_1,T,S,F) =\!\!M\!\!= Cito_w(O,U,D_n,T,S,F)$

In this general case, the original in any other space, where the other conditions are met, will have the same consciousness.This equation represents the Principle of Spacial Oricitomentality

$1.4MD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Ori(O,U,E,D^{\S_{x_1}^{x_2}},T,S,C) =\!\!M\!\!= Cito(O,U,E,D^{\S_{y_1}^{y_2}},T,S,F)$

A cidentireplica, if it would travel a different path through space than the original will still produce the same mentality as the original given all the other conditions are the same

#### Citolocationality equations

Citolocationality equations deal with the relationships that different cidentireplicas have to each other as they travel through different parts of space in terms of behavior, consciousness, and ixperiencitness.

All the orilocationality equations from the above section can be transformed to Citolocationality equations by simply changing all Ori's to Cito's and 1's to 4's.

For example $1.1XD_1^2 \; \; to \;\; 4.4XD_1^2$ and

$Ori(O,U,E,D_1,T,S,F) =\!\!X\!\!= Ori(O,U,E,D_2,T,S,F)$

to $Cito(O,U,E,D_1,T,S,F) =\!\!X\!\!= Cito(O,U,E,D_2,T,S,F).$

$4.4MD^{\S_{y_1}^{y_2}}_{\S_{x_1}^{x_2}} \blacktriangleleft Cito(O,U,E,D^{\S_{x_1}^{x_2}},T,S,C) =\!\!M\!\!= Cito(O,U,E,D^{\S_{y_1}^{y_2}},T,S,F)$

A cidentireplica travels a complex path through space during it existence. If it would have traveled a different path it would have produced the same consciousness if all the other conditions would have been the same. ${\S_{x_1}^{x_2}}$ defines the path that the path through space that the originally travels through and ${\S_{y_1}^{y_2}}$ is a different path.

$4_u4_wMD_\rightsquigarrow^{\S_{x_n}^{y_n}} \blacktriangleleft Cito_u(O,U,E,D_\rightsquigarrow^{\S{x_n}},T,S,C) =\!\!M\!\!= Cito_w(O,U,E,D_\rightsquigarrow^{\S{y_n}},T,S,F)$

Any cidentireplica traveling through any path through space will have an identical mentality to that produced by any different cidentireplica traveling a different path through space, if $Cito_u(O,U,E,T,S,C) == Cito_w(O,U,E,T,S,F)$, for every point on the path. This equation represents the Principle of Transitive Spacial Citomentality

$4_u4_wMD_{\rightsquigarrow\bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Cito_u(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{x_n}},T,S,C) =\!\!M\!\!= Cito_w(O,U,E,D_{\rightsquigarrow\bumpeq}^{\S^{y_n}},T,S,F)$

Any cidentireplica traveling through any path through space will have an identical mentality to that produced by any different cidentireplica traveling a different path through space, if $Cito_u(O,U,E,T,S,C) == Cito_w(O,U,E,T,S,F)$ and any simiasymotopic physapoint or physasection is removed or properly modifyed. This equation represents the Principle of Transitive Simiasymptotic Spacial Citomentality

Transitive Simiasymptotic Spacial concept is the concept that paths through space that conscious itobodies transverse can have partial interruptions of conscious production for a number of different reasons. These regions can be removed or modified in certain ways to allow a continuation of a consciousness and ixperiencitness to be produced.

$4_u4_wMD_{\rightsquigarrow\Bumpeq}^{\S_{x_n}^{y_n}} \blacktriangleleft Cito_u(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{x_n}},T,S,C) =\!\!M\!\!= Cito_w(O,U,E,D_{\rightsquigarrow\Bumpeq}^{\S{y_n}},T,S,F)$

This equation represents the concept that any cidentireplica traveling through any path through space will have an identical mentality to that produced by any different cidentireplica traveling a different path through space, if $Cito_u(O,U,E,T,S,C) == Cito_w(O,U,E,T,S,F)$and any asymotopic physapoint or[[asymotopic physasection}} is removed. This equation represents the Principle of Transitive Asymptotic Spacial Citomentality

Transitive Asymptotic Spacial concept is the concept that paths through space that conscious itobodies transverse can have places where consciousness and ixperiencitness can not be produced when these regions in space are removed identity of mentality can be produced for the rest of the path . Some examples are high density objects like rocks, moons, planets, stars, black holes etc. There can also be regions that have high levels of energy or energy fields or even regions of space that do not have the physical laws that allow a consciousness and ixperiencitness to be produced.

#### Oriorientation equations

$\oslash$ is the symbol for spacial orientation of an itobody

This equation represents the Principle of Spacial Oriorientation

$1_u1_wMD_{\rightsquigarrow\oslash}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\oslash}^{\S{x_n}},T,S,C) =\!\!M\!\!= Ori_w(O,U,E,D_{\rightsquigarrow\oslash}^{\S{y_n}},T,S,F)$

This equation represents the concept that two different originals will produce the same mentality if their orintation in space as they travel through space are different, if the other conditions in the equation remain the same.

#### Oricitorientation equations

This equation represents the Principle of Spacial Oricitorientation

$1_u4_wMD_{\rightsquigarrow\oslash}^{\S_{x_n}^{y_n}} \blacktriangleleft Ori_u(O,U,E,D_{\rightsquigarrow\oslash}^{\S{x_n}},T,S,C) =\!\!M\!\!= Cito_w(O,U,E,D_{\rightsquigarrow\oslash}^{\S{y_n}},T,S,F)$

This equation represents the concept that any original and any cidentireplica will produce the same mentality if their orientations in space, as they travel through space, are different, if the other conditions in the equation remain the same.

#### Citorientation equations

This equation represents the Principle of Spacial Oricitorientation

$4_u4_wMD_{\rightsquigarrow\oslash}^{\S_{x_n}^{y_n}} \blacktriangleleft Cito_u(O,U,E,D_{\rightsquigarrow\oslash}^{\S{x_n}},T,S,C) =\!\!M\!\!= Cito_w(O,U,E,D_{\rightsquigarrow\oslash}^{\S{y_n}},T,S,F)$

This equation represents the concept that two different cidentireplicas will produce the same mentality if their orintation in space, as they travel through space, are different, if the other conditions in the equation remain the same.

#### Orimaterality Placement equations

Orimaterality Placement equations deal with how the placement of matter in originals effects the mentality produced by originals.

$\circledast$ is the symbol for placement of matter in the itobody

$1.1BE_{1,2}^{\circledast} \xleftarrow{Compaction} \dot= \xrightarrow{Elaboration} Ori(O,U,E_{1}^{\circledast},D,T,S,F) =\!\!B\!\!= Ori(O,U,E_{2}^{\circledast},D,T,S,F)$

This equation states that if the placement of matter in the original would have been different the behavior would have been the same if all the other conditions (O,U,D,T,S,F), would have been the identical.

$1.1ME_{1,2}^{\circledast} \xleftarrow{Compaction} \dot= \xrightarrow{Elaboration} Ori(O,U,E_{1}^{\circledast},D,T,S,F) =\!\!M\!\!= Ori(O,U,E_{2}^{\circledast},D,T,S,F)$

The expression $E_{1}^{\circledast}$ represents the placement of the atoms in the original. $E_{2}^{\circledast}$ means the same matter in the original but a different placement of these atoms. This equation can represent the switching of any two identical functioning subatomic particles, atoms, molecules, cells, organ, to the switching of every possible identical atom etc. is any possible combination of ways. So a carbon atom in the toe could have been in the brain instead and the resulting original will still have the same mentality. We can imagine any conceivable placement of atoms, etc., where structure and functioning is maintained, the equation states that the mentality will be the same also. This does not mean that we can have carbon atoms replacing hydrogen atoms for example, because the resulting structure and functioning will be different. When the placement is changed with these atoms, for instance, carbon atom A being placed where carbon atom B is and visa versa, carbon atom A is placed exactly in the same place as carbon atom B was so that they will function identically to how atom B would have and visa versa.

This equation is scientific in that it can be empirically based and tested. It may be true or false. Or some places true and some false. It may be true in some universes and false in others.

The symbol $\S$ represents a grouping of mathematical functions. It is used here because it represents complex functional relationships dealing with change thus using it gives the impression of complex mathematical functions of change. $\S$ can be defined in many different ways depending on its application.

The symbols ${\forall \circledast}$ represent the concept "for all placements of matter". Since the structure and functioning stays the same it means all placements of matter where structure and functioning stays the same.

The combination of these symbols $E_{\S{n,m}}^{\forall \circledast}$ represent the concept of all placements of matter where each placement of matter in the itobody is defined by a complex placement equation ${\S{n,m}}$.

$1.1ME_{\S{n,m}}^{\forall \circledast} \blacktriangleleft Ori(O,U,E^{\S n \circledast m},D,T,S,F) =\!\!B\!\!= Ori(O,U,E^{\S m \circledast n},D,T,S,F)$

This equation states that if all the conditions (O,U,D,T,S,F), are identical, any different arrangements of the placements of the matter in the original would have produced the same behavior in the original .

$1.1ME_{\S{n,m}}^{\forall \circledast} \blacktriangleleft Ori(O,U,E^{\S n \circledast m},D,T,S,F) =\!\!M\!\!= Ori(O,U,E^{\S m \circledast n},D,T,S,F)$

This equation puts into symbolic and mathematical form the concept that any placement of the same matter, where the structure and functioning is maintained, would have produced the same consciousness and ixperiencitness in the original.

The expression $\forall\circledast$ is the default position so it applies to all part of the equation where as the expression\; $\forall\circledast w$ applies to the itobody with the prefix (w).

$1_u1_wMO_a^bE_{\S{n,m}}^{\forall \circledast w}D_x^yT_j^j \blacktriangleleft Ori_u(O_a,U,E,D_x,T_j,S,F) =\!\!M\!\!= Ori_w(O_b,U,E^{\S m \circledast n},D_y,T_j,S,F)$

This equation represents the concept that an original will be mentally equal to another original in a different place and time, made from a different template original, that has any possible placements of matter, switched at any time, as long as the structure and functioning and universal laws stay the same for both originals.

$1_u1_wME_{\S{n,m}}^{\forall \circledast}D_x^yT_j^j \blacktriangleleft Ori_u(O,U,E^{\S n \circledast m},D_x,T_j,S,F) =\!\!M\!\!= Ori_w(O,U,E^{\S m \circledast n},D_y,T_j,S,F)$

This equation represents the concept that an original(u) will be mentally equal to another original(w) in a different place and time, made from a different template original, and that both originals have any possible arrangements of placements of matter, switched at any time, as long as the structure and functioning and universal laws stay the same for both originals.

#### Oricitomaterality Placement equations

$T_\vdash^\dashv$ is the expression for a period of time usually a life time but it ca be for a defined period of time as well.

Oricitomaterality Placement equations for mentality for a period of time

$1.4BT_\vdash^\dashv E_{\S{n,m}}^{\circledast} \blacktriangleleft Ori(O,U,E^{\S n \circledast m},D,T_\vdash^\dashv,S,F) =\!\!M\!\!= Cito(O,U,E^{\S m \circledast n},D,T_\vdash^\dashv ,S,F)$

This equation states that the original would be mentally equal to the cidentireplica if during the life of the cidentireplica the placement of the atoms were different in any complex arrangement of switching over time. The conditions of the rest of the equation still have to be met like identical structure and functioning etc. This equation includes a very large amount of possibilities. Each identical functioning unit can be switched with another identical functioning unit at any time and as often as defined by the equation. A carbon atom in the skin could be switched with a carbon atom in any other part of the body. Since There are millions of trillions of carbon atoms in the body where any one carbon atom could be switched with any other one. there are an extremely large amount of variation that can occur in the body where it will still produce the same consciousness. Then we can consider any one of the carbon atoms has that same potential to switch with any other one. Once switched they can be switched again and again. There are n! Amount of switching where n is the number of carbon atoms.

Not only atoms can be theoretically switched, any molecule of subatomic particle can be also. for molecules the placement and orientation may be important for having the same structure and functioning continuing.

$1.4BT_\vdash^\dashv E_{\S{n,m}}^{\circledast} \blacktriangleleft Ori(O,U,E^{\S n \circledast m},D,T_\vdash^\dashv,S,F) =\!\!M\!\!= Cito(O,U,E^{\S m \circledast n},D,T_\vdash^\dashv,S,F)$

This equation states that any amount and complexity of switching of atoms or other material within the original from birth to death will be mentally equal to any amount and complexity of switching of atoms or other material within the cidentireplica.

In a normal conscious functioning person there is interchange of atoms within the body over time.

$1.4BT_\vdash^\dashv E_{\S{n,m}}^{\circledast} \blacktriangleleft Ori(O,U,E^{\S n \circledast m},D,T ,S,F) =\!\!B\!\!= Cito(O,U,E^{\S m \circledast n},D,T,S,F)$

The combination of the symbols ${\S{n\!\! \circledast\!\! m}}$ represents a complex function where the matter would be in another placement pattern, where the matter is switched from an (n) to an (m) placement pattern.

$1.4MT_\vdash^\dashv E_{\S{n,m}}^{\circledast} \blacktriangleleft Ori(O,U,E^{\S n \circledast m},D,T ,S,F) =\!\!M\!\!= Cito(O,U,E^{\S m \circledast n},D,T,S,F)$

$1_n4_mMT_\vdash^\dashv E_{\S{n,m}}^{\circledast} \blacktriangleleft Ori_n(O,U,E^{\S n \circledast m},D,T ,S,F) =\!\!M\!\!= Cito_m(O,U,E^{\S m \circledast n},D,T,S,F)$

$1_n4_mMT_\vdash^\dashv E_{\S{n,m}}^{\forall \circledast} \blacktriangleleft Ori_n(O,U,E^{\S n \circledast m},D,T ,S,F) =\!\!M\!\!= Cito_m(O,U,E^{\S m \circledast n},D,T,S,F)$

There will be mental identity for all possible placements of the matter in the original and cidentireplica, where the universal laws structure and functioning location of stays the same, different places and times during their life times.

$1_n4_mMT_{\vdash i}^{\dashv j} D_x^y E_{\S{n,m}}^{\forall \circledast} \blacktriangleleft Ori_n(O,U,E^{\S n \circledast m},D_x,T_i ,S,F) =\!\!M\!\!= Cito_m(O,U,E^{\S m \circledast n},D_y,T_j,S,F)$

There will be mental identity for all possible placements of the matter in any original(n) and cidentireplica(m), where the universal laws and structure and functioning stays the same even if and while they exist in different places, and different times during their life times.

$1_u4_wMO_a^bE_{\S{n,m}}^{\forall \circledast w}D_x^yT_j^j \blacktriangleleft Ori_u(O_a,U,E,D_x,T_j,S,F) =\!\!M\!\!= Cito_w(O_b,U,E^{\S m \circledast n},D_y,T_j,S,F)$

This equation represents the concept that an original with a specific placement of matter will be mentally equal to any cidentireplica that is in a different place and time, made from a different template original, that has any possible placements of matter, switched at any time, as long as the structure and functioning and universal laws stay the same for the original and cidentireplica.

$1_u4_wME_{\S{n,m}}^{\forall \circledast}D_x^yT_j^j \blacktriangleleft Ori_u(O,U,E^{\S n \circledast m},D_x,T_j,S,F) =\!\!M\!\!= Cito_w(O,U,E^{\S m \circledast n},D_y,T_j,S,F)$

This equation represents the concept that any original(u) will be mentally equal to another cidentireplica(w) in a different place and time, made from a different template original, and that both the original and cidentireplica have any possible arrangements of placements of matter, switched at any time, as long as the structure and functioning and universal laws stay the same for both the original and cidentireplica.

#### Citomaterality Placement equations

Citomaterality Placement equations are important because it allows for a mathematical representation of the different concepts involved in citomateriality placement.

The concepts involved in Citomateriality placement are important because:

1. It increases the degrees of itofreedom by not only allowing an cidentireplica to duplicate the consciousness and ixperiencitness but also to allow an extremely large amount of potential of placements of matter to produce the same mentality as well.

2. It allows any matter in the universe to be used to produce the same mentality.

$4_u4_wMT_{i j}^{\vdash \dashv} E_{\S{n,m}}^{\circledast} \blacktriangleleft Cito_u(O,U,E^{\S n \circledast m},D,T_{j} ^{\vdash \dashv},S,F) =\!M\!= Cito_w(O,U,E^{\S m \circledast n},D,T_{j}^{\vdash \dashv},S,F)$

$4_u4_wMT_\vdash^\dashv E_{\S{n,m}}^{\circledast} \blacktriangleleft Cito_u(O,U,E^{\S n \circledast m},D,T ,S,F) =\!M\!= Cito_w(O,U,E^{\S m \circledast n},D,T,S,F)$

$4_u4_wMO_a^bE_{\S{n,m}}^{\forall \circledast w}D_x^yT_j^j \blacktriangleleft Cito_u(O_a,U,E,D_x,T_j,S,F) =\!\!M\!\!= Cito_w(O_b,U,E^{\S m \circledast n},D_y,T_j,S,F)$

This equation represents the concept that an original will be mentally equal to another original in a different place and time, made from a different template original, that has any possible placements of matter, switched at any time, as long as the structure and functioning and universal laws stay the same for both originals.

$4_u4_wME_{\S{n,m}}^{\forall \circledast}D_x^yT_j^j \blacktriangleleft Cito_u(O,U,E^{\S n \circledast m},D_x,T_j,S,F) =\!\!M\!\!= Cito_w(O,U,E^{\S m \circledast n},D_y,T_j,S,F)$

This equation represents the concept that an original(u) will be mentally equal to another original(w) in a different place and time, made from a different template original, and that both originals have any possible arrangements of placements of matter, switched at any time, as long as the structure and functioning and universal laws stay the same for both originals.

There are many other equations related like:

$1^{\S _\vdash^\dashv}1^{\S _\vdash^\dashv}}M(E^{\S \circledast}),$

$1^{\S _\vdash^\dashv}2^{\S _\vdash^\dashv}}M(E^{\S \circledast}),$

$4^{\S _b^d}4^{\S _b^d}}M(E^{\S \circledast}),$

$1^{\S _\vdash^\dashv}2^{\S _\vdash^\dashv}}B(E^{\S \circledast}),$

$1^{\S _\vdash^\dashv}2^{\S _\vdash^\dashv}}B(E^{\S \circledast}),$

$4^{\S _b^d}4^{\S _b^d}}B(E^{\S \circledast}),$ etc.

#### Orimatinterchangeability equations

Itomatinterchangeability equations symbolically and mathematically deal with how the interchange of matter between different itobody change the consciousness and ixperiencitness of the itobodies.

Orimatinterchangeability equations symbolically and mathematically deal with how the interchange of matter between different originals change the consciousness and ixperiencitness of the originals.

$\rightleftarrows$ is the symbol for interchange of matter between itobodies. \rightleftarrows

$1.1BE_{n,m}^{\rightleftarrows} \blacktriangleleft Ori(O,U,E^{n \rightleftarrows m},D,T,S,F) =\!\!B\!\!= Ori(O,U,E^{m \rightleftarrows n},D,T,S,F)$

This equation represents a concept that does not make a lot sense because it represents the concept that exchanging matter with itself because the original is in the same place and time. But it does show that these types of equations can represent many different concepts.

$1_u1_wBE_{n,m}^{\rightleftarrows} \blacktriangleleft Ori_u(O,U,E^{n \rightleftarrows m},D,T,S,F) =\!\!B\!\!= Ori_w(O,U,E^{m \rightleftarrows n},D,T,S,F)$

This equation makes more sense because the originals are now different and can realistically exchange matter. But there is still the problem of them both existing in the same place and time. but like the equation before this it is not false because the same original will have the same behavior.

$1_u1_wBE_{n,m}^{\rightleftarrows} D_x^y\blacktriangleleft Ori_u(O,U,E^{n \rightleftarrows m},D_x,T,S,F) =\!\!B\!\!= Ori_w(O,U,E^{m \rightleftarrows n},D_y,T,S,F)$

This equation has two different originals in two different places but existing at the same time. If they exchange matter but maintain the same universal laws for the identical structure and functioning they will produce the same behavior.

$1_u1_wME_{n,m}^{\rightleftarrows} D_x^y\blacktriangleleft Ori_u(O,U,E^{n \rightleftarrows m},D_x,T,S,F) =\!\!M\!\!= Ori_w(O,U,E^{m \rightleftarrows n},D_y,T,S,F)$

The exchanging of matter between two different originals, any amount to one hundred percent, will produce identical mentality. This is one of the founding ideas of this theory it is not the specific matter or place that is important for determining consciousness and ixperiencitness but the structure and functioning that is important.

$1_{u_1}1_{u_n}ME_{{u_1} \ldots {u_n}}^{\rightleftarrows} D_x^y \blacktriangleleft Ori_{u_1}(O,U,E^{n \rightleftarrows m},D_x,T,S,F) =\!\!M\!\!= Ori_{u_1} \ldots =\!\!M\!\!= Ori_{u_n}(O,U,E^{m \rightleftarrows n},D_y,T,S,F)$

The interchange of matter with any number of different original maintaining the same structure and functioning will not change the identical consciousness produced.

$1_u1_wBE_{n,m}^{\rightleftarrows}T_i^j \blacktriangleleft Ori_u(O,U,E^{n \rightleftarrows m},D,T_i,S,F) =\!\!B\!\!= Ori_w(O,U,E^{m \rightleftarrows n},D,T_j,S,F)$

this equation represents the concept that if the two different originals are in the same spot in space but at a different time if they interchange matter they will still have the same behavior if the physical laws stay the same as does the structure and functioning of their itobodies. This does bring up the issue of how do you interchange matter between itobodies that are not existing in the same time period? A rather unscientific idea because time might not actually ever exist is with a time machine transferring matter back and forth in time. With this scenario you now have the ability to exchange the matter at any time in the life of the originals. so matter when the Ori(u) was young could be exchanged with Ori(w) when he was old.

$1_u1_wBE_{n,m}^{\rightleftarrows} D_x^y T_i^j \blacktriangleleft Ori_u(O,U,E^{n \rightleftarrows m},D_x,T_i,S,F) =\!\!B\!\!= Ori_w(O,U,E^{m \rightleftarrows n},D_y,T_j,S,F)$

This equation does allow for the possibility of overlap of time because they are in different places. consequently the two different originals could exchange matter at the same place in their lives to the beginning and ends of their lives and any where in between and the behavior would be the same.

$1_u1_wCE_{n,m}^{\rightleftarrows} \blacktriangleleft Ori_u(O,U,E^{n \rightleftarrows m},D,T,S,F) =\!\!C\!\!= Ori_w(O,U,E^{m \rightleftarrows n},D,T,S,F)$

$1_u1_wXE_{n,m}^{\rightleftarrows} \blacktriangleleft Ori_u(O,U,E^{n \rightleftarrows m},D,T,S,F) =\!\!X\!\!= Ori_w(O,U,E^{m \rightleftarrows n},D,T,S,F)$

$1_u1_wME_{n,m}^{\rightleftarrows} \blacktriangleleft Ori_u(O,U,E^{n \rightleftarrows m},D,T,S,F) =\!\!M\!\!= Ori_w(O,U,E^{m \rightleftarrows n},D,T,S,F)$

These three equations in a sense eliminate some magical power of the matter itself to rejuvenate an old person with the matter of a young person.

In these equations the matter is interchanged. A possible interchange is a carbon atom in the original’s toe is interchanged with a carbon atom in the brain. The symbol $\rightleftarrows$ represents interchange of components parts of an itobody. In this case the itobody is an original. The interchange can be one subatomic particle, to any combination of every subatomic particle, atom, molecule, or body part. etc. that could possibly be interchanged. In spite of this interchange identical mentality ---- consciousness and ixperiencitness, will be maintained as long as the other identical conditions(O,U,D,T,S,F) are met.

$\S \P$

$4.1BT_\vdash^\dashv E_{\S{n,m}}^{\rightleftarrows} \blacktriangleleft Cito(O,U,E^{\S n \rightleftarrows m},D,T_\vdash^\dashv ,S,F) =\!\! B\!\!= Ori(O,U,E^{\S m \rightleftarrows n},D,T_\vdash^\dashv,S,F)$

The symbol: $\dashv$ means death or the end of ixperiencitness for the specified itobody.

The symbol: $\vdash$ means the beginning of consciousness after a period of time or a birth like concept

The symbol: $\Vdash$ means ixperiencitness after a period of time or a conscious birth.

This equation represents a complex function from birth to death of the original and cidentireplica of a complex function of interchange of matter.

$\S_\vdash^\dashv$ represents any of a number of complex functions from birth to death.

$E_{\S{n,m}}^{\rightleftarrows}$ represents any of a number of complex functions of interchange of matter. Even with a complex interchange of matter over time between the original and cidentireplica. The behavior will continue to be identical. This is true because if the functioning stays the same the behavior stays the same.

How to represent any amount of matter over any length of time it does not have to be a linear equation of interchange amount per time but can be any function desired.

$1^{\S_\vdash^\dashv}4^{\S_\vdash^\dashv}ME_{\S{n,m}}^{\rightleftarrows} \blacktriangleleft Ori^{\S_\vdash^\dashv}(O,U,E_{\S{n,m}}^{\rightleftarrows},D,T,S,C) =\!\!M\!\!= Cito^{\S_\vdash^\dashv}(O,U,E_{\S{n,m}}^{\rightleftarrows},D,T,S,C)$

$4.1MT_\vdash^\dashv E_{\S{n,m}}^{\rightleftarrows} \blacktriangleleft Cito(O,U,E^{\S n \rightleftarrows m},D,T_\vdash^\dashv ,S,F) =\!\!M\!\!= Ori(O,U,E^{\S m \rightleftarrows n},D,T_\vdash^\dashv,S,F)$

This means that from birth to death of the original and the cidentireplica, if a complicated function of interchanged was performed between the cidentireplica and the original, if all other factors (O,U,D,T,S,C) stayed the same the cidentireplica and original would have the same mentality.

$4.1/T_\vdash^\dashv E_{\S{n,m}}^{\rightleftarrows} \blacktriangleleft Cito(O,U,E^{\S n \rightleftarrows m},D,T_\vdash^\dashv ,S,F) =\!/\!= Ori(O,U,E^{\S m \rightleftarrows n},D,T_\vdash^\dashv,S,F)$

This is valid because the original and the cidentireplica are made of different matter and as a result the equation 1∫bd.4∫bd./E(E ∫^) is valid which make the above equation valid.

#### Oricitomatinterchangeability equations

Orimatinterchangeability equations for originals and cidentireplicas that are not producing the same consciousness and, or ixperiencitness during the switching of matter process.

$1^{\S_\vdash^\dashv}4^{\S_\vdash^\dashv}ME_{\S{n,m}}^{\rightleftarrows} \blacktriangleleft Ori^{\S_\vdash^\dashv}(O,U,E_{\S{n,m}}^{\rightleftarrows},D,T,S,C) =\!\!M\!\!= Cito^{\S_\vdash^\dashv}(O,U,E_{\S{n,m}}^{\rightleftarrows},D,T,S,C)$

#### Oricitomatinterchangeability equations

Orimatinterchangeability equations for originals and cidentireplicas that are not producing the same consciousness and, or ixperiencitness during the switching of matter process.

#### Citomatinterchangeability equations

Citomatinterchangeability equations for cidentireplicas that are not producing the same consciousness or ixperiencitness during the switching of matter process.

#### Orimatreplaceability equations

$\downarrow$ replacement or addition of matter from outside source

$\uparrow$ removal of matter from an itobody

$\updownarrow$ removal and replacement from an itobody of matter from an external source.

The human body is normally replacing and rearranging matter as part of it normal functioning even bone is slowly replaced.

$1.1ME_{1}^{\updownarrow \rightleftarrows} \blacktriangleleft Ori(O,U,E_1^{\updownarrow \rightleftarrows},D,T,S,F)$ is the normal condition for the human body.

If the material in the original was different the mentality produced would be the same.

$1.1ME_{1,2}^{\downarrow} \blacktriangleleft Ori(O,U,E_{1},D,T,S,F) =\!\!M\!\!= Ori(O,U,E_{2}^{\downarrow},D,T,S,F)$

If the structure and functioning stays the same, if the original has matter added to its body it will still produce the same consciousness and ixperiencitness.

$1.1ME_{1,2}^{\uparrow} \blacktriangleleft Ori(O,U,E_{1},D,T,S,F) =\!\!M\!\!= Ori(O,U,E_{2}^{\uparrow},D,T,S,F)$

If the structure and functioning stays the same, if the original has matter taken away from its body it will still produce the same consciousness and ixperiencitness.

$1.1ME_{1,2}^{\updownarrow} \blacktriangleleft Ori(O,U,E_{1},D,T,S,F) =\!\!M\!\!= Ori(O,U,E_{2}^{\updownarrow},D,T,S,F)$

If the structure and functioning stays the same, if the original has matter replaced with other mater from an outside source its body it will still produce the same consciousness and ixperiencitness.

If the matter the original was made of was different the original would still have the same mentality. The original is mentally identically to itself if it is or was made of other matter, placement or grouping of matter but has the same structure, space, time, and functioning. There are many different ways the two can have different matter. An example of same matter in a different place in the body is, a carbon atom that is in the toe is switched with a carbon atom in the brain. Another example is; every atom is replaced with the identical atom from an outside source. E1 and E2 represent a specific arrangement, placement, and grouping of matter and energy. Where as En and Em represent any arrangement, placement, and grouping of matter and energy.

The subscript 1, 2, n, and m , represent the difference in the names for the different theocepts that contain the exacting information as to the replacement of matter.

$1.1FE_{1,2}^{\updownarrow} \blacktriangleleft Ori(O,U,E_{1},D,T,S,F) =\!\!F\!\!\!= Ori(O,U,E_{2}^{\updownarrow},D,T,S,F)$

$Ori(O,U,E_{1},D,T,S,F) =\!\!\!F\!\!\!= Ori(O\!\!\!U,ED,T\!\!\!S,F)$

It is by definition true because the functioning is the same. Ori(C) == Ori(C) This states that the functioning of the original with a specific placement and grouping of matter E1 is functionally identical to itself when the matter is replaced by a different specific placement and grouping of matter.

$1.1ME_{1,n}^{\updownarrow} \blacktriangleleft Ori(O,U,E_{1},D,T,S,F) =\!\!F\!\!= Ori(O,U,E_{n}^{\updownarrow},D,T,S,F)$

This means that a specific grouping or placement of matter E1 will produce the same consciousness or mentality as any grouping or placement of matter and energy that maintains the conditions of (O,U,D,T,S,C) being identical,

$1.4ME_{1,2}^{\updownarrow} \blacktriangleleft Ori(O,U,E_{1}^{\updownarrow},D,T,S,F) =\!\!F\!\!= Ori(O,U,E_{n}^{\updownarrow},D,T,S,F)$

This is true because of equation 1.1.M(E12) and . This equation states that if the original would have been made of different matter (En rather than Em) it would still have been mentally identical. We call this change a cidentireplica of the original. A cidentireplica that has this property is called a citomaterial cidentireplica.

$1.1ME_{1,2}^{\updownarrow \downarrow} \blacktriangleleft Ori(O,U,E_{1},D,T,S,F) =\!\!M\!\!= Ori(O,U,E_{2}^{\updownarrow}^{\downarrow},D,T,S,F)$

This equation represents the interchanging and adding of matter to the original like a person gaining weight.

$1.1ME_{1,2}^{\updownarrow \uparrow} \blacktriangleleft Ori(O,U,E_{1},D,T,S,F) =\!\!M\!\!= Ori(O,U,E_{2}^{\updownarrow}^{\uparrow},D,T,S,F)$

This equation represents the interchanging and adding of matter to the original like a person loosing weight.

#### Oricitomatreplaceability equations

Oricitomatreplaceability equations deal with how the behavior and mentality of originals and cidentireplicas are effected when matter from an outside source replaces matter within the original and cidentireplica.

The outside source of matter can be either live or dead or has been in the past alive or has never been part of a live or conscious being. It does not matter comes from. the replacement can be from the smallest amount of energy to a total replacement of all of the matter in an itobody.

#### Citomatreplaceability equations

Oricitomatreplaceability equations deal with how the behavior and mentality of different cidentireplicas are effected when matter from an outside source replaces matter within the cidentireplicas.

#### Orimatassimulation equations

Orimatassimulation equations deal with how the speed of matter assimilation from an external source or switching matter within the original, effects the behavior consciousness and ixperiencitness of the effected originals.

d{\updownarrow \rightleftarrows}/dt

$d{\updownarrow \rightleftarrows}/dt$ speed of both replacement of matter and of the interchange of matter in the system

d{\updownarrow}/dt

$d{\updownarrow}/dt$ speed of replacement of mater from an external source

d{\rightleftarrows}/dt

$d{\rightleftarrows}/dt$ the speed that matter is moved around in the body.

$d{\circledast}/dt$ the speed that matter is moved around in the body.

$\frac{d\updownarrow}{dt}$ is the replacing assimilation speed

$\frac{d\rightleftarrows}{dt}$ is the interchanging assimilation speed

$\frac{d\updownarrow \rightleftarrows}{dt}$ is both the replacing and interchanging assimilation speeds.

$\frac{d\rightleftarrows \updownarrow}{dt}$ is both the replacing and interchanging assimilation speeds.

$\circledast$

$\frac{d\circledast}{dt}$ is the placement assimilation speed

#### Oricitomatassimulation equations

Oricitomatassimulation equations deal with how the speed of matter assimilation from an external source or switching matter within originals and cidentireplicas, effects the behavior consciousness and ixperiencitness of the effected itobodies.

#### Citomatassimulation equations

Citomatassimulation equations deal with how the speed of matter assimilation from an external source or switching matter within the cidentireplica, effects the behavior consciousness and ixperiencitness of the effected cidentireplicas.

#### equations

$\supset$ is a logical operator of implication that is used as a replacement to if ... then...,.

$1.1M_n(\forall 0_nE_n)\supset$

$Ori(O,U,E,D,T,S,F) =\!\!M\!\!= Ori(O,U,E,D,T,S,F) \supset Ori(O,U,E_1,D,T,S,F) =\!\!M\!\!= Ori(O,U,E_1,D,T,S,F) \supset Ori(O,U,E_2,D,T,S,F) =\!\!M\!\!= Ori(O,U,E_2,D,T,S,F)\supset \ldots \supset Ori(O,U,E_n,D,T,S,F) =\!\!M\!\!= Ori(O,U,E_n,D,T,S,F)$

The reason that we might consider this as being true is that if 1.1M is true then it seems that any term could be replaced by the same type of term if the replacement was the same on each side of the equation for example E being replaced on each side of the equation by E1. If this then why not E2 etc.

$4.4Mn(\forall0_nE_n) \supset Cito(O,U,E,D,T,S,F) =\!\!M\!\!= Cito(O,U,E,D,T,S,F) \supset Cito(O,U,E_1,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_1,D,T,S,F) \supset Cito(O,U,E_2,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_2,D,T,S,F)\supset \dots \supset Cito(O,U,E_n,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_n,D,T,S,F)$

$1.4M_n(\forall 0_n E_n) \supset Ori(O,U,E,D,T,S,F) =\!\!M\!\!= Cito(O,U,E,D,T,S,F) \supset Ori(O,U,E_1,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_1,D,T,S,F) \supset Ori(O,U,E_2,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_2,D,T,S,F) \supset \dots \supset Ori(O,U,E_n,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_n,D,T,S,F)$

A possible proof of equation $1.4ME_1^2$ based upon previous equations:

1.$Ori(O,U,E_1,D,T,S,F) =\!\!M\!\!= Ori(O,U,E_2,D,T,S,F) 1.1ME_1^2$

2. $Ori(O,U,E_2,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_2,D,T,S,F) 1.4M and 1.M_n(\forall 0_nE_n)\dots$

3.$Ori(O,U,E_1,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_2,D,T,S,F) N$

This is approximately the equation of the proof above. $1.1ME_1^2) \supset 1.4ME_22 \supset N \cdots 1.4ME_1^2$

I say a possible proof because this mathematical theory is based on science so the basic axioms can be true or false depending on the kind of universe we live in. Equation 1.1M(E12) makes a specific prediction about our universe that we can make a certain type of material change to the original and it will still have (or would have had) the same mentality or consciousness. 1.3.M(E22) this is a case of the exact same thing with a different functional name. N^ is name interchangeability. If two terms are exactly the same they can switch names or be renamed.

This short example gives a sample to how more mathematical rigor can be added to this mathematics of consciousness. Many equations will follow from the axiomatic equations or the laws of this universe.

${Ori(O,U,E_1,D,T,S,F) =\!\!M\!\!= Ori(O,U,E_2,D,T,S,F) =\!M\!= Cito(O,U,E_2,D,T,S,F)} \supset {Ori(O,U,E_1,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_2,D,T,S,F)} \supset Ori(O,U,E_1,D,T,S,F) =\!\!M\!\!= Cito(O,U,E_2,D,T,S,F)$

$1.4FE_1^2 Ori(O,U,E_1,D,T,S,F) =\!\!F\!\!= Cito(O,U,E_2,D,T,S,F)$

This follows from, or is a consequence of $Ori(F) =F= Cito(F)$. In other words it is true by definition. This equation says that the functioning of the original is functionally identical to the functioning of the cidentireplica when they are made of different mater in a different grouping or placement.

$1.1BE_1^2 \blacktriangleleft Ori(O,U,E_1,D,T,S,F) =\!\!B\!\!= Ori(O,U,E_2,D,T,S,F)$

If the original was made of different matter it would still behave the same. Because when two bodies function the same they have the same behavior.

$1.4BE_1^2 \blacktriangleleft Ori(O,U,E_1,D,T,S,F) =\!\!B\!\!= Cito(O,U,E_2,D,T,S,F)$

This equation states like principle 2: the original will behave like the cidentireplica if they are made of different matter. When two bodies function the same they have the same behavior.

There are a number of equations that I can write quicker as using names only such as:

$1.1SE_1^2,\;\; 1.3SE_1^2,\;\; 1.2ME_1^2,\;\; 1.2BE_1^2, \;\;1.2FE_1^2, \;\;1.2SE_1^2, \;\;2.2ME_1^2,\;\; 2.2BE_1^2,\;\; 2.2FE_1^2\;\;$ etc.

There are many variations to the indices that we can include that will have different meanings such as:

$1.1SE_1^n,\;\; 1.4SE_1^n,\;\; 1.2ME_1^n,\;\; 1.2BE_1^n,\;\; 1.2FE_1^n,\;\; 1.2SE_1^n,\;\; 2.2ME_1^n,\;\; 2.2BE_1^n,\;\; 2.2 FE_1^n\;\; etc. Or 1.1SE_m^n, \;\;1.4SE_m^n,\;\; 1.2ME_m^n, \;\;1.2B(E_m^n, \;\;1.2FE_m^n,\;\; 1.2SE_m^n, \;\;2.2ME_m^n,\;\; 2.2BE_m^n,\;\; 2.2FE_m^n, \;\;1.4BE_m^n\;\; etc.$

We can also add complex equations of material replaceability as there is for placement and interchangeability such as

$\updownarrow$is the symbol for replaceability of matter and energy

$1^{\S_b^d}4^{\S_b^d}ME^{\s \updownarrow} Ori^{\S_b^d}(O,U,E ^{\s \updownarrow},D,T,S,F) =\!\!M\!\!= Cito^{\S_b^d}(O,U,E^{\s \updownarrow},D,T,S,F)$

This equation states that from birth to death of the original any complex replacement of matter in the original (replacement of matter is occurring naturally in the original) will be mentally equal (have the same consciousness) as the cidentireplica when the cidentireplica is also having a complex set of replacements occurring within it. Yet the other terms stay the same.

$1.4ME^{\S \updownarrow} Ori(O,U,E^{\S \updownarrow},D,T,S,F) =\!\!M\!\!= Cito(O,U,E^{\S \updownarrow},D,T,S,F)$

An original having a complex set of material change other than it normally would have will be mentally equal to a cidentireplica having a different set of material changes when the other factors ( terms) stay the same.

$1.4ME_1^{\S \updownarrow} \blacktriangleleft Ori(O,U,E_1,D,T,S,F) =\!\!M\!\!= Cito^{\S_b^d} (O,U,E^{\s \updownarrow},D,T,S,F)$

This equation say that the original will be mentally equal to the cidentireplica when the cidentireplica matter is replaced by any other set of matter in any sequence of time from the birth to death of the original.

Until now all the equations have used only the symbol D for the space (Dimensionality) that the different cidentireplicas have been in. This means that all have shared the identical or same areas of space over time. In this new set of equations the space will be different with one condition, they have to have interchangeable spaces. Having interchangeable spaces means that the bodies could be interchanged with out a change in the other factors. This stipulation will be met simply because the functioning and structure stays the same. The reason that we mention this is that when we ///

#### Citomentidentity equations

$1.4ME_1^mD_1^n \blacktriangleleft Ori(O,U,E_1,D_1,T,S,F) =\!\!M\!\!= Cito(O,U,E_m,D_n,T,S,F)$

This is the important equation and the one (whether it is true or not) lays the foundation for a mathematical science of consciousness. It states: the original will be mentally identically to the cidentireplica when the structure, (S), functioning (C), time (T), and the universe with its physical laws (U), are the same. If it is true it is the simplest explanation. But If it is not true

Principles of multiplicity

Subscript parenthesis as (1) will designate the original or the cidentireplica from other originals or cidentireplica. The subscript letters w,v, are variables meaning any of a number of possible originals or cidentireplicas.$Ori_1(U,O,E,D,T,S,F)$ would be defined by convention as you. This is because we relate consciousness to you subjectively.

Citodimultiplicity for change in space

$1_14_vMD_x^y \blacktriangleleft Ori_1(U,O,E,D_x,T,S,F) =\!\!M\!\!= Cito_v(U,O,E,D_y,T,S,F)$

You the original will be mentally equal to any cidentireplica when only the space that you and the cidentireplica exist in is different.

When there are not subscripts for the original or cidentireplica we mean the first original and first cidentireplica.

An example is:

$Ori(U,O,E,D_x,T,S,F) =\!\!M\!\!= Cito(U,O,E,D_y,T,S,F)$ means $Ori_1(U,O,E,D_x,T,S,F) =\!\!M\!\!= Cito_1(U,O,E,D_y,T,S,F)$ or Equation $1.4MD_x^y$is the same as Equation $1_14_1MD_x^y$.

Oridimatmultiplicity for change in space and matter

$1_11_1ME_n^mD_x^y \blacktriangleleft Ori_1(O,U,E_n,D_x,T,S,F) =\!\!M\!\!= Ori_1(O,U,E_m,D_y,T,S,F)$

This equation refers to you. It states that if you were made of different matter and or in a different arrangement, and in a different position and or orientation, you would still have the same consciousness or mentality.

$1_w1_vME_n^mD_x^y \blacktriangleleft Ori_w(O,U,E_n,D_x,T,S,F) =\!\!M\!\!= Ori_v(O,U,E_m,D_y,T,S,F)$

Any original will be mentally equal to any other original when the only difference is in being made of different matter and/or the same matter in a different arrangement and in a different space.

Citodimatmultiplicity for change in space and matter

$1_w4_vME_n^mD_x^y \blacktriangleleft Ori_w(O,U,E_n,D_x,T,S,F) =\!\!M\!\!= Cito_v(O,U,E_m,D_y,T,S,F)$

Any original will be mentally equal to any cidentireplica when the only difference is in being made of different matter and/or the same matter in a different arrangement and in a different space.

$1_w4_vMO_w^wE_n^mD_x^y \blacktriangleleft Ori_w(O_w,U,E_n,D_x,T,S,F) =\!\!M\!\!= Cito_v(O_w,U,E_m,D_y,T,S,F)$

This is just a different way of stating Equation $1_w4_vME_n^m,D_x^y$. This is because $Ori_wO_w == Cito_vO_w$.

$1_w4_vBE_n^mD_x^y, \;\;\;\; 1_w4_vSE_n^mD_x^y, \;\;\;\; 1_w2_vBE_n^mD_x^y, \;\;\;\; 2_w4_vBE_n^mD_x^y, \;\;\;\; 4_w4_vBE_n^mD_x^y, \;\;\;\; 1_w4_vBE_n^mD_x^y, \;\;\;\; 2_w4_vMO_w^wE_n^mD_x^y,$ etc. are valid also.

#### Citomultireplication equations

Principle Citodimatmultireplication

$4_w4_vMO_w^vE_n^mD_x^y \blacktriangleleft Cito_w(O_w,U,E_n,D_x,T,S,F) =\!\!M\!\!= Cito_v(O_w,U,E_m,D_y,T,S,F)$

Different cidentireplicas are mentally equal when the only difference is in being made of different matter and/or the same matter in a different arrangement and in a different space.

$4_w4_vMO_w^wE_w^vD_x^y \blacktriangleleft Cito_w(O_w,U,E_w,D_w,T,S,F) =\!\!M\!\!= Cito_v(O_w,U, E_v,D_v,T,S,F)$

This is another way of stating Equation $4_w4_vM(O_w^w,E_n^m,D_x^y)$ . Where Cito(v) has a specific materiality and dimensionality defined and linked to the concept, number or name v.

$4_14_n_M^{n=}OE_{m_1}^{m_n}D_{x_1}^{y_n} \blacktriangleleft Cito_1(O,U,E_{m_1},D_{x_1},T,S,F) =\!\!M\!\!= Cito_2(O,U,E_{m_2},D_{y_2},T,S,F) =\!\!M\!\!= {\ldots}, Cito_n(O,U,E_{m_n},D_{y_n},T,S,F)$

This is an elaboration of Equation $4_w4_vM(O_w^w,E_n^m,D_x^y)$. It can be a very large sequence depending on the size of n. N can be infinite. It states that cidentireplica 1 through cidentireplica n will be mentally equal to each of the cidentireplicas in this set of n cidentireplicas.

These equations will also be valid:

$1_w4_vB(O_w^w,E_w^v,D_w^v), \;\;\;\;4_w4_vB(O_w^w,E_w^v,D_w^v), \;\;\;\;1_w4_vS(O_w^w,E_w^v,D_w^v), \;\;\;\;4_w4_vS(O_w^w,E_w^v,D_w^v),\;\;\;\; 1_w4_v F(O_w^w,E_w^v,D_w^v), \;\;\;\;4w.4v F(O_w^w,E_w^v,D_w^v), \;\;\;\;1w.2vB(O_w^w,E_w^v,D_w^v), \;\;\;\;2_w4_vB(O_w^w,E_w^v,D_w^v), \;\;\;\;1_w2_vS(O_w^w,E_w^v,D_w^v), \;\;\;\;2_w4_vS(O_w^w,E_w^v,D_w^v), \;\;\;\;1_w2_v F(O_w^w,E_w^v,D_w^v), \;\;\;\;2_w4_v F(O_w^w,E_w^v,D_w^v)$

#### Temporary Rendering tools for equation construction

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

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

1.4B(E∫^,bTd) Ori(O,U,E ∫(n µ m),D, bTd,S,C) =\!\!B\!\!= Cito(O,U,E ∫(m µ n),D, bTd,S,C)

Equation 1∫bd.3∫bd.M(E∫^) ∫bdOri(O,U,E ∫(n µ m),D,T,S,C) =\!\!M\!\!= ∫bdCito(O,U,E ∫(m µ n),D,T,S,C)

1∫bd.3∫bd./(E∫^) ∫bdOri(O,U,E ∫(n µ m),D,T,S,C) =\!\!/\!\!= ∫bdCito(O,U,E ∫(m µ n),D,T,S,C)

This is another ways of stating 1∫bd.4∫bd.B(E ∫^). The equation 1.4M(E∫^,bTd) is the same as 1∫bd.4∫bd.M(E∫^).

\sideset{_1^2}{_3^4}\prod_a^b

{}_1^2\!\Omega_3^4 Stacking \overset{\alpha}{\omega} \underset{\alpha}{\omega} \overset{\alpha}{\underset{\gamma}{\omega}} \stackrel{\alpha}{\omega}

$1\coprod_bd 3 \coprod_bd ME_{\coprod \divideontimes}$

$1_{\coprod_bd} 3 \coprod_bd ME_{\coprod \divideontimes}$

$1_{\amalg_bd} 3 \amalg_bd ME_{\amalg \divideontimes}$

\amalg

\divideontimes $\divideontimes$ is the symbol for change of placement of matter.

\rightleftarrows$\rightleftarrows$ is the symbol for interchange of matter

\coprod $\coprod$

\amalg $\amalg$

\sideset{_1^2}{_3^4}\prod_a^b $\sideset{_1^2}{_3^4}\prod_a^b$

\sideset{_1^2}{_3^4}\amalg_a^b $\sideset{_1^2}{_3^4}\amalg_a^b$

\sideset{_1^2}{_3^4}\coprod_a^b $\sideset{_1^2}{_3^4}\coprod_a^b$

\coprod_{i=1}^N x_i $\coprod_{i=1}^N x_i$

\ldots \cdots

$\ldots \cdots$

The symbol $\rightsquigarrow$ represents a path through space \rightsquigarrow

$\Leftarrow \Rightarrow$ \Leftarrow \Rightarrow

$\longleftarrow \longrightarrow$

$\bigcirc$

$\longleftarrow \!\!\bigcirc \!\!\longrightarrow$

$\longleftarrow \!\!\!\!\bigcirc\!\! \!\!\longrightarrow$

$\bumpeq \Bumpeq$

$\rightsquigarrow \Bumpeq\!\rightsquigarrow$ a total chunk is removed do to any number of different requirements

$\rightsquigarrow\Bumpeq\rightsquigarrow$

$\stackrel{\rightsquigarrow}{\rightsquigarrow}$

$\rightsquigarrow \bumpeq\!\rightsquigarrow$ a partial chunk of space is removed do to any number of different requirements