r a r e virtualDing ( 0 , 1 ) X S l e s s virtualBing ( 1 , 1 ) X S + l e s s virtualYi ( 0 , 0 ) X l e s s virtualJia ( 1 , 0 ) X + l e s s

All transfer laws of the Zangxiang system or the ten Heavenly Stems model for a healthy body are summarized in Figure 2. It means that only both the liking relation and the loving relation have the transfer law of the Yang or Yin vital or righteousness energies of the ten heavenly stems. Yang is transferring along the loving or liking order of the ten heavenly stems. Yin is transferring against the loving or liking order of the ten heavenly stems.#

Theorem 3.3 (The first transfer law of the twelve Earthly Branches with a healthy body)Let the human blood pH value $x\in \left[7.34539,7.45461\right]$ which is equivalent to the conditions ${\rho }_{0}\le {\rho }_{1}=\rho \left(x\right)\le 1$ and $0.

The transfer law of each of the 12 kinds of energy in the Jingluo system or the twelve Earthly Branches model is from its root-causes to its symptoms. Furthermore, for the healthy body, the transfer law of the Yang vital energies of the twelve earthly branches is transferring along the loving or liking order of the twelve earthly branches as follows:

$\begin{array}{ccc}\begin{array}{l}\stackrel{less}{\to }\text{virtualMao}\\ {K}_{X}^{+}\text{(1,(12))}\end{array}& \begin{array}{l}\text{realZi}\\ {X}^{+}\text{(0,e)}\stackrel{less}{\to }\end{array}& \begin{array}{l}\text{realHai}\\ {X}_{S}^{x+}\text{(1,e)}\end{array}\\ ↕less& ↕less& ↕less\\ \begin{array}{l}\text{virtualYin}\\ {K}_{X}^{-}\text{(1,(132))}\stackrel{more}{⇒}\end{array}& \begin{array}{l}\text{realChou}\\ {X}^{-}\text{(0,(23))}\end{array}& \begin{array}{l}\text{realXu}\\ {X}_{S}^{x-}\text{(1,(23))}\stackrel{rare}{⇐}\end{array}\end{array}$

$\begin{array}{ccc}\begin{array}{l}\text{realShen}\\ {S}_{X}^{+}\text{(0,(13))}\stackrel{rare}{⇒}\end{array}& \begin{array}{l}\text{realWei}\\ {X}_{S}^{j+}\text{(1,(13))}\end{array}& \begin{array}{l}\text{virtualChen}\\ {X}_{K}^{+}\text{(0,(12))}\stackrel{less}{\to }\end{array}\\ ↕less& ↕less& ↕less\\ \begin{array}{l}\stackrel{rare}{⇐}\text{realYou}\\ {S}_{X}^{-}\text{(0,(123))}\end{array}& \begin{array}{l}\text{realWu}\\ {X}_{S}^{j-}\text{(1,(123))}\stackrel{rare}{\to }\end{array}& \begin{array}{l}\text{virtualSi}\\ {X}_{K}^{-}\text{(0,(132))}\end{array}\end{array}$

The transfer law of the Yin vital energies of the twelve earthly branches is transferring against the loving or liking order of the ten heavenly stems as follows:

$\begin{array}{ccc}\begin{array}{l}\text{realMao}\\ {K}_{X}^{+}\text{(1,(12))}\stackrel{more}{←}\end{array}& \begin{array}{l}\text{realChen}\\ {X}_{K}^{+}\text{(0,(12))}\end{array}& \begin{array}{l}\text{virtualWei}\\ {X}_{S}^{j+}\text{(1,(13))}\stackrel{rare}{⇐}\end{array}\\ ↕less& ↕less& ↕less\\ \begin{array}{l}\stackrel{less}{←}\text{realYin}\\ {K}_{X}^{-}\text{(1,(132))}\end{array}& \begin{array}{l}\text{realSi}\\ {X}_{K}^{-}\text{(0,(132))}\stackrel{rare}{←}\end{array}& \begin{array}{l}\text{virtualWu}\\ {X}_{S}^{j-}\text{(1,(123))}\end{array}\end{array}$

$\begin{array}{ccc}\begin{array}{l}\stackrel{rare}{⇐}\text{virtualShen}\\ {S}_{X}^{+}\text{(0,(13))}\end{array}& \begin{array}{l}\text{virtualHai}\\ {X}_{S}^{x+}\text{(1,e)}\stackrel{less}{←}\end{array}& \begin{array}{l}\text{virtualZi}\\ {X}^{+}\text{(0,e)}\end{array}\\ ↕less& ↕less& ↕less\\ \begin{array}{l}\text{virtualYou}\\ {S}_{X}^{-}\text{(0,(123)}\stackrel{rare}{⇒}\end{array}& \begin{array}{l}\text{virtualXu}\\ {X}_{S}^{x-}\text{(1,(23))}\end{array}& \begin{array}{l}\text{virtualChou}\\ {X}^{-}\text{(0,(23))}\stackrel{less}{←}\end{array}\end{array}$

All transfer laws of the Jingluo system or the twelve Earthly Branches model for a healthy body are summarized in Figure 3. It means that only both the liking relation and the adjacent relation have the transfer law of the Yang or Yin vital or righteousness energies of the twelve earthly branches. Yang is transferring along the loving or liking order of the twelve earthly branches. Yin is transferring against the loving or liking order of the twelve earthly branches.#

Remark 4. Theorems 3.2 and 3.3 are called the transfer law of occurrence and change of a human body’s energies with a healthy body, simply, the first transfer law.

For a Yang energy of X and the Zangxiang system or the ten Heavenly Stems model for a healthy body, the first transfer law is transferring along the loving or liking order of the ten heavenly stems as follows:

$\begin{array}{l}\stackrel{less}{\to }\text{real}{X}^{\text{+}}\stackrel{less}{↔}\text{real}{X}^{-}\\ \stackrel{less}{\to }\text{real}{X}_{S}^{+}\stackrel{less}{↔}\text{real}{X}_{S}^{-}\\ \stackrel{rare}{\to }\text{virtual}{X}_{K}^{+}\stackrel{less}{↔}\text{virtual}{X}_{K}^{-}\end{array}$

$\begin{array}{l}\stackrel{more}{\to }\text{virtual}{K}_{X}^{+}\stackrel{less}{↔}\text{virtual}{K}_{X}^{-}\\ \stackrel{rare}{\to }\text{real}{S}_{X}^{+}\stackrel{less}{↔}\text{real}{S}_{X}^{-}\\ \stackrel{less}{\to }\text{real}{X}^{+}\stackrel{less}{↔}\text{real}{X}^{-}\end{array}$

For a Yin energy of X and the Zangxiang system or the ten Heavenly Stems model for a healthy body, the first transfer law is transferring against the loving or liking order of the ten heavenly stems as follows:

$\begin{array}{l}\text{virtual}{X}^{-}\stackrel{less}{↔}\text{virtual}{X}^{+}\\ \stackrel{less}{←}\text{virtual}{S}_{X}^{-}\stackrel{less}{↔}\text{virtual}{S}_{X}^{+}\\ \stackrel{rare}{←}\text{real}{K}_{X}^{-}\stackrel{less}{↔}\text{real}{K}_{X}^{+}\end{array}$

$\begin{array}{l}\stackrel{more}{←}\text{real}{X}_{K}^{-}\stackrel{less}{↔}\text{real}{X}_{K}^{+}\\ \stackrel{rare}{←}\text{virtual}{X}_{S}^{-}\stackrel{less}{↔}\text{virtual}{X}_{S}^{+}\\ \stackrel{less}{←}\text{virtual}{X}^{-}\stackrel{less}{↔}\text{virtual}{X}^{+}\end{array}$

For a Yang energy of X and the Jingluo system or the twelve Earthly Branches model for a healthy body, the first transfer law is transferring along the loving or liking order of the twelve earthly branches as follows:

$\begin{array}{l}\text{Chen}\left(0,\left(12\right)\right)=\left\{\text{Yi}\left(0,0\right),\text{Wu(1,2)},\\ \text{Gui(0,4)}\right\},\text{Si}\left(0,\left(132\right)\right)=\left\{\text{Bing(1,1)},\text{Geng}\left(1,3\right),\text{Wu(1,2)}\right\}\\ ⇒\text{Yi}\left(0,0\right)*\text{Wu(1,2)}*\text{Gui(0,4)}=\text{Bing(1,1),}\\ \text{Bing(1,1)}*\text{Geng}\left(1,3\right)*\text{Wu(1,2)}=\text{Bing(1,1),}\\ \text{Bing(1,1)}*\text{Bing(1,1)}=\text{Ji(0,2)}\text{.}\end{array}$

$\begin{array}{l}\stackrel{less}{\to }\text{virtualSi}{X}_{K}^{-}\stackrel{less}{↔}\text{virtualChen}{X}_{K}^{+}\text{}\\ \stackrel{less}{\to }\text{virtualMao}{K}_{X}^{+}\stackrel{less}{↔}\text{virtualYin}{K}_{X}^{-}\\ \left(\stackrel{rare}{\to }\text{realYou}{S}_{X}^{-}\stackrel{less}{↔}\text{realShen}{S}_{X}^{+}\right)\\ \stackrel{less}{\to }\text{realChou}{X}^{-}\stackrel{less}{↔}\text{realZi}{X}^{+}\end{array}$

For a Yin energy of X and the Jingluo system or the twelve Earthly Branches model for a healthy body, the first transfer law is transferring against the loving or liking order of the twelve earthly branches as follows

$\begin{array}{l}\stackrel{less}{←}\text{virtualZi}{X}^{+}\stackrel{less}{↔}\text{virtualChou}{X}^{-}\\ \left(\stackrel{less}{←}\text{virtualShen}{S}_{X}^{+}\stackrel{less}{↔}\text{virtualYou}{S}_{X}^{-}\right)\\ \stackrel{rare}{←}\text{realYin}{K}_{X}^{-}\stackrel{less}{↔}\text{realMao}{K}_{X}^{+}\\ \stackrel{more}{←}\text{realChen}{X}_{K}^{+}\stackrel{less}{↔}\text{realSi}{X}_{K}^{-}\end{array}$

$\begin{array}{l}\stackrel{rare}{←}\text{virtualWu}{X}_{S}^{j-}\stackrel{less}{↔}\text{virtualWei}{X}_{S}^{j+}\\ \stackrel{rare}{⇐}\text{virtualShen}{S}_{X}^{+}\stackrel{less}{↔}\text{virtualYou}{S}_{X}^{-}\\ \stackrel{rare}{⇒}\text{virtualXu}{X}_{S}^{x-}\text{}\stackrel{less}{↔}\text{virtualHai}{X}_{S}^{x+}\\ \stackrel{less}{←}\text{virtualZi}{X}^{+}\stackrel{less}{↔}\text{virtualChou}{X}^{-}\end{array}$

Because the energy change between $\begin{array}{ccc}\begin{array}{l}\text{Mao}\\ {K}_{X}^{+}\text{(1,(12))}⇐\end{array}& \begin{array}{l}\text{Hai}\\ {X}_{S}^{+x}\text{(1,e)}\end{array}& \begin{array}{l}\text{Wei}\\ {X}_{S}^{+j}\text{(1,(13))}⇐\end{array}\\ ⇕& ⇕& ⇕\\ \begin{array}{l}⇐\text{Yin}\\ {K}_{X}^{-}\text{(1,(132))}\end{array}& \begin{array}{l}\text{Xu}\\ {X}_{S}^{-x}\text{(1,(23))}⇔\end{array}& \begin{array}{l}\text{Wu}\\ {X}_{S}^{-j}\text{(1,(123))}\end{array}\end{array}$ and $\stackrel{less}{←}\text{realYin}{K}_{X}^{-}\stackrel{less}{↔}\text{realMao}{K}_{X}^{+}$ needs to be adjusted by the energy of $\stackrel{less}{←}\text{virtualShen}{S}_{X}^{+}\stackrel{less}{↔}\text{virtualYou}{S}_{X}^{-}$, so generally believe that the Yin energy of X begins with the Yang energy of $\text{realYin}{K}_{X}^{-}\stackrel{less}{↔}\text{realMao}{K}_{X}^{+}$. This is in Zi to Yin (11 PM at night to the next day at half past five) need to have a rest.

The transfer relation of the first transfer law running is the loving or liking relationship, denoted by $\to$ or $↔$. The running condition of the first transfer law is both $\left({\rho }_{1}+{\rho }_{2}{\rho }_{3}\right)\ge \left(1-{\rho }_{2}{\rho }_{3}\right)$ and ${\rho }_{3}=c\rho \left(x\right)>0$.

By Theorem 2.1 and Corollary 2.1, the running condition is nearly equivalent to both ${\rho }_{0}\le {\rho }_{1}=\rho \left(x\right)\le 1$ and $0. The best-state condition of the first transfer law is ${\rho }_{3}=c\rho \left(x\right)$ where $c\to 1$ which is the best state of ${\rho }_{3}$ for a healthy body. To follow or utilize the running of the first transfer law is equivalent to the following method. For dong so, it is in order to protect or maintain the loving relationship. The method can strengthen both the value $\left({\rho }_{1}+{\rho }_{2}{\rho }_{3}\right)=\left(\rho \left(x\right)+c\rho {\left(x\right)}^{3}\right)$ tending to be large and the value $\left(1-{\rho }_{2}{\rho }_{3}\right)=\left(1-c\rho {\left(x\right)}^{3}\right)$ tending to be small at the same time. In other words, the way can make all of both $\rho \left(x\right)$ and c tending to be large. It is because the running condition of the loving or liking relationship $\left({\rho }_{1}+{\rho }_{2}{\rho }_{3}\right)\ge \left(1-{\rho }_{2}{\rho }_{3}\right)$ is the stronger the use, which dues to ${\rho }_{1}=\rho \left(x\right)$ the greater the use. In other words again, if the treatment principle of the loving relationship disease is to use continuously abiding by the first transfer law, then all of both the intervention reaction coefficients ${\rho }_{1}=\rho \left(x\right),{\rho }_{2}=\rho {\left(x\right)}^{2}$ and the coefficient of self-protection ${\rho }_{3}=c\rho \left(x\right)>0$ where $0 will tend to be the best state, i.e., $\rho \left(x\right)\to 1$ and $0.

Side effects of medical problems were the question: in the medical process, destroyed the balance of the normal systems which are not sick or intervened subsystems. The energy change of the intervened system is not the true side effects issue. The energy change is called the pseudo or non-true side effects issue since it is just the food of the second physiological system of the steady multilateral system for a healthy body by Attaining Rule. The best state of the self-protection coefficient, i.e., ${\rho }_{3}=c\rho \left(x\right)\to \rho \left(x\right)={\rho }_{１}$, where $c\to 1$, implies the non-existence of any side effects issue if the treatment principle of TCM is used. Therefore any disease that causes side effects issue occurrence in the first place dues to the non-best state of self-protection ability, i.e., ${\rho }_{3}=c\rho \left(x\right)<\rho \left(x\right)={\rho }_{１}$. To follow or utilize the running of the first transfer law can make both $\rho \left(x\right)\to 1$ and $0. At this point, the paper advocates to follow or utilize the first transfer law. It is in order to avoid the side effects issue occurrence for a healthy body.#

3.4. Second Transfer Laws of a Human Body’s Energies of Steady Multilateral Systems with an unhealthy Body

Suppose that a steady multilateral system V having energy function $\phi \left(*\right)$ is abnormal or unhealthy. Let x be the human blood pH value of V. Taking ${\rho }_{1}=\rho \left(x\right),{\rho }_{2}=\rho {\left(x\right)}^{2}$ and ${\rho }_{3}=c\rho \left(x\right)$ where $0\le c\le 1$, and $\rho \left(x\right)$ is defined in Equations (1) and (2). The unhealthy body means that the conditions ${\rho }_{0}>\rho \left(x\right)>0$ and $0\le c\le 1$ hold, which is equivalent to the abnormal range $x\stackrel{¯}{\in }\left[7.34539,7.45461\right]$.

From  and by using Corollary 2.1 and Theorems 2.1 and 3.1, the following Theorems 3.4 and 3.5 can be obtained as the transfer law of occurrence and change of a human body’s energies with an unhealthy body.

Theorem 3.4 (The transfer law of the ten Heavenly Stems with an unhealthy body) Let the human blood pH value $x\notin \left[7.34539,7.45461\right]$ which is equivalent to the conditions ${\rho }_{0}>{\rho }_{1}=\rho \left(x\right)>0$ and $0\le c\le 1$.

The transfer law of each of the 10 kinds of energy in the Zangxiang system or the ten Heavenly Stems model for an unhealthy body is from its root-causes to its symptoms.

Furthermore, for the unhealthy body, if a subsystem X of a steady multilateral system V falls a real disease, then the disease comes from the mother SX of X. The transfer law of the Yang vital or righteousness energies of the ten heavenly stems is transferring against the killing or liking order of the ten heavenly stems as follows:

$\begin{array}{l}\text{realJia(1,0)}{X}^{+}\stackrel{less}{⇔}\text{realYi(0,0)}{X}^{-}\\ \stackrel{rare}{⇐}\text{realGeng(1,3)}{K}_{X}^{+}\stackrel{less}{⇔}\text{realXin(0,3)}{K}_{X}^{-}\\ \stackrel{rare}{⇐}\text{realBing(1,1)}{X}_{S}^{+}\stackrel{less}{⇔}\text{realDing(0,1)}{X}_{S}^{-}\end{array}$

$\begin{array}{l}\stackrel{rare}{⇐}\text{realRen(1,4)}{S}_{X}^{+}\stackrel{less}{⇔}\text{realGui(0,4)}{S}_{X}^{-}\\ \stackrel{more}{⇐}\text{virtualWu(1,2)}{X}_{K}^{+}\stackrel{less}{⇔}\text{virtualJi(0,2)}{X}_{K}^{-}\\ \stackrel{less}{⇐}\text{realJia(1,0)}{X}^{+}\stackrel{less}{⇔}\text{realYi(0,0)}{X}^{-}\end{array}$

And if a subsystem X of a steady multilateral system V falls a virtual disease, then the disease comes from the son XS of X. The transfer law of the Yin vital or righteousness energies of the ten heavenly stems is transferring along the killing or liking order of the ten heavenly stems as follows:

$\begin{array}{l}\text{virtualYi(0,0)}{X}^{-}\stackrel{less}{⇔}\text{virtualJia(1,0)}{X}^{+}\\ \stackrel{rare}{⇒}\text{virtualJi(0,2)}{X}_{K}^{-}\stackrel{less}{⇔}\text{virtualWu(1,2)}{X}_{K}^{+}\\ \stackrel{rare}{⇒}\text{virtualGui(0,4)}{S}_{X}^{-}\stackrel{less}{⇔}\text{virtualRen(1,4)}{S}_{X}^{+}\end{array}$

$\begin{array}{l}\stackrel{rare}{⇒}\text{virtualDing(0,1)}{X}_{S}^{-}\stackrel{less}{⇔}\text{virtualBing(1,1)}{X}_{S}^{+}\\ \stackrel{more}{⇒}\text{realXin(0,3)}{K}_{X}^{-}\stackrel{less}{⇔}\text{realGeng(1,3)}{K}_{X}^{+}\\ \stackrel{less}{⇒}\text{virtualYi(0,0)}{X}^{-}\stackrel{less}{⇔}\text{virtualJia(1,0)}{X}^{+}\end{array}$

All transfer laws of the Zangxiang system or the ten Heavenly Stems model for an unhealthy body are summarized in Figure 2. It means that only both the liking relation and the killing relation have the transfer law of the Yang or Yin vital or righteousness energies of the ten heavenly stems. Yang is transferring against the killing or liking order of the ten heavenly stems. Yin is transferring along the killing or liking order of the ten heavenly stems.#

Theorem 3.5 (The transfer law of the twelve Earthly Branches with an unhealthy) Let the human blood pH value $x\notin \left[7.34539,7.45461\right]$ which is equivalent to the conditions ${\rho }_{0}>{\rho }_{1}=\rho \left(x\right)>0$ and $0\le c\le 1$.

The transfer law of each of the 12 kinds of energy in the Jingluo system or the twelve Earthly Branches model for an unhealthy body is from its root-causes to its symptoms.

Furthermore, for the unhealthy body, if a subsystem X of a steady multilateral system V falls a real disease, then the disease comes from the mother SX of X. The transfer law of the Yang vital energies of the twelve earthly branches is transferring against the killing or liking order of the twelve earthly branches as follows:

$\begin{array}{ccc}\begin{array}{l}\text{realMao}\\ {K}_{X}^{+}\text{(1,(12))}\stackrel{rare}{⇐}\end{array}& \begin{array}{l}\text{realHai}\\ {X}_{S}^{x+}\text{(1,e)}\end{array}& \begin{array}{l}\text{realWei}\\ {X}_{S}^{j+}\text{(1,(13))}\stackrel{rare}{⇐}\end{array}\\ ⇕\text{less}& ⇕\text{less}& ⇕\text{less}\\ \begin{array}{l}\stackrel{rare}{⇐}\text{realYin}\\ {K}_{X}^{-}\text{(1,(132))}\end{array}& \begin{array}{l}\text{realXu}\\ {X}_{S}^{x-}\text{(1,(23))}\stackrel{less}{⇔}\end{array}& \begin{array}{l}\text{realWu}\\ {X}_{S}^{j-}\text{(1,(123))}\end{array}\end{array}$

$\begin{array}{ccc}\begin{array}{l}\stackrel{rare}{⇐}\text{realShen}\\ {S}_{X}^{+}\text{(0,(13))}\end{array}& \begin{array}{l}\text{virtualChen}\\ {X}_{K}^{+}\text{(0,(12))}\stackrel{less}{⇐}\end{array}& \begin{array}{l}\text{realZi}\\ {X}^{+}\text{(0,e)}\end{array}\\ ⇕\text{less}& ⇕\text{less}& ⇕\text{less}\\ \begin{array}{l}\text{realYou}\\ {S}_{X}^{-}\text{(0,(123))}\stackrel{more}{⇐}\end{array}& \begin{array}{l}\text{virtualSi}\\ {X}_{K}^{-}\text{(0,(132))}\end{array}& \begin{array}{l}\text{realChou}\\ {X}^{-}\text{(0,(23))}\stackrel{rare}{⇐}\end{array}\end{array}$

For the unhealthy body, if a subsystem X of a steady multilateral system V falls a virtual disease, then the disease comes from the son XS of X. The transfer law of the Yin vital energies of the twelve earthly branches is transferring along the killing or liking order of the twelve earthly branches as follows:

$\begin{array}{ccc}\begin{array}{l}\text{realMao}\\ {K}_{X}^{+}\text{(1,(12))}\stackrel{less}{⇒}\end{array}& \begin{array}{l}\text{virtualZi}\\ {X}^{+}\text{(0,e)}\end{array}& \begin{array}{l}\text{virtualChen}\\ {X}_{K}^{+}\text{(0,(12))}\stackrel{rare}{⇒}\end{array}\\ ⇕\text{less}& ⇕\text{less}& ⇕\text{less}\\ \begin{array}{l}\stackrel{more}{⇒}\text{realYin}\\ {K}_{X}^{-}\text{(1,(132))}\end{array}& \begin{array}{l}\text{virtualChou}\\ {X}_{}^{-}\text{(0,(23))}\stackrel{rare}{⇒}\end{array}& \begin{array}{l}\text{virtualSi}\\ {X}_{K}^{-}\text{(0,(132))}\end{array}\end{array}$

$\begin{array}{ccc}\begin{array}{l}\stackrel{rare}{⇒}\text{virtualShen}\\ {S}_{X}^{+}\text{(0,(13))}\end{array}& \begin{array}{l}\text{virtualWei}\\ {X}_{S}^{+j}\text{(1,(13))}\stackrel{less}{⇔}\end{array}& \begin{array}{l}\text{virtualHai}\\ {X}_{S}^{-x}\text{(1,e)}\end{array}\\ ⇕\text{less}& ⇕\text{less}& ⇕\text{less}\\ \begin{array}{l}\text{virtualYou}\\ {S}_{X}^{-}\text{(0,(123)}\stackrel{less}{⇒}\end{array}& \begin{array}{l}\text{virtualWu}\\ {X}_{S}^{-j}\text{(1,(123))}\end{array}& \begin{array}{l}\text{virtualXu}\\ {X}_{S}^{-x}\text{(1,(23))}\stackrel{more}{⇒}\end{array}\end{array}$

All transfer laws of the Jingluo system or the twelve Earthly Branches model for an unhealthy body are summarized in Figure 3. It means that only both the liking relation and the alternate relation have the transfer law of the Yang or Yin vital or righteousness energies of the twelve earthly branches. Yang is transferring against the killing or liking order of the twelve earthly branches. Yin is transferring along the killing or liking order of the twelve earthly branches.#

Remark 5. Theorems 3.4 and 4.5 are called the transfer law of occurrence and change of energies with an unhealthy body, simply, the second transfer law.

For a Yin energy of X and the Zangxiang system or the ten Heavenly Stems model for an unhealthy body, the second transfer law is transferring along the killing or liking order of the ten heavenly stems as follows:

$\begin{array}{l}\stackrel{less}{⇒}\text{virtual}{X}^{-}\stackrel{less}{⇔}\text{virtual}{X}^{+}\\ \stackrel{rare}{⇒}\text{virtual}{X}_{K}^{-}\stackrel{less}{⇔}\text{virtual}{X}_{K}^{+}\\ \stackrel{rare}{⇒}\text{virtual}{S}_{X}^{-}\stackrel{less}{⇔}\text{virtual}{S}_{X}^{+}\end{array}$

$\begin{array}{l}\stackrel{rare}{⇒}\text{virtual}{X}_{S}^{-}\stackrel{less}{⇔}\text{virtual}{X}_{S}^{+}\\ \stackrel{more}{⇒}\text{real}{K}_{X}^{-}\stackrel{less}{⇔}\text{real}{K}_{X}^{+}\\ \stackrel{less}{⇒}\text{virtual}{X}^{-}\stackrel{less}{⇔}\text{virtual}{X}^{+}\end{array}$

For a Yang energy of X and the Zangxiang system or the ten Heavenly Stems model for an unhealthy body, the second transfer law is transferring against the killing or liking order of the ten heavenly stems as follows:

$\begin{array}{l}\stackrel{less}{⇐}\text{real}{X}^{+}\stackrel{less}{⇔}\text{real}{X}^{-}\\ \stackrel{rare}{⇐}\text{real}{K}_{X}^{+}\stackrel{less}{⇔}\text{real}{K}_{X}^{-}\\ \stackrel{rare}{⇐}\text{real}{X}_{S}^{+}\stackrel{less}{⇔}\text{real}{X}_{S}^{-}\end{array}$

$\begin{array}{l}\stackrel{rare}{⇐}\text{real}{S}_{X}^{+}\stackrel{less}{⇔}\text{real}{S}_{X}^{-}\\ \stackrel{more}{⇐}\text{virtual}{X}_{K}^{+}\stackrel{less}{⇔}\text{virtual}{X}_{K}^{-}\\ \stackrel{less}{⇐}\text{real}{X}^{+}\stackrel{less}{⇔}\text{real}{X}^{-}\end{array}$

For a Yin energy of X and the Jingluo system or the twelve Earthly Branches model for an unhealthy body, the second transfer law is transferring along the killing or liking order of the twelve earthly branches as follows:

$\begin{array}{l}\stackrel{less}{⇒}\text{virtualZi}{X}^{+}\stackrel{less}{⇔}\text{virtualChou}{X}^{-}\\ \stackrel{rare}{⇒}\text{virtualSi}{X}_{K}^{-}\text{}\stackrel{less}{⇔}\text{virtualChen}{X}_{K}^{+}\\ \stackrel{rare}{⇒}\text{virtualShen}{S}_{X}^{+}\stackrel{less}{⇔}\text{virtualYou}{S}_{X}^{-}\\ \stackrel{rare}{⇒}\text{virtualWu}{X}_{S}^{j-}\stackrel{less}{⇔}\text{virtualWei}{X}_{S}^{j+}\end{array}$

$\begin{array}{l}\stackrel{less}{⇔}\text{virtualHai}{X}_{S}^{x+}\stackrel{less}{⇔}\text{virtualXu}{X}_{S}^{x-}\\ \stackrel{more}{⇒}\text{realYin}{K}_{X}^{-}\stackrel{less}{⇔}\text{realMao}{K}_{X}^{+}\\ \stackrel{less}{⇒}\text{virtualZi}{X}^{+}\stackrel{less}{⇔}\text{virtualChou}{X}^{-}\end{array}$

For a Yang energy of X and the Jingluo system or the twelve Earthly Branches model for an unhealthy body, the second transfer law is transferring against the killing or liking order of the twelve earthly branches as follows:

$\begin{array}{l}\stackrel{less}{⇐}\text{realZi}{X}^{+}\text{}\stackrel{less}{⇔}\text{realChou}{X}^{-}\\ \stackrel{less}{⇐}\text{realYin}{K}_{X}^{-}\stackrel{less}{⇔}\text{realMao}{K}_{X}^{+}\\ \stackrel{rare}{⇐}\text{realHai}{X}_{S}^{x+}\stackrel{less}{⇔}\text{realXu}{X}_{S}^{x-}\\ \stackrel{less}{⇔}\text{realWu}{X}_{S}^{j-}\text{}\stackrel{less}{⇔}\text{realWei}{X}_{S}^{j+}\end{array}$

$\begin{array}{l}\stackrel{rare}{⇐}\text{realShen}{S}_{X}^{+}\stackrel{less}{⇔}\text{realYou}{S}_{X}^{-}\\ \stackrel{more}{⇐}\text{virtualSi}{X}_{K}^{-}\stackrel{less}{⇔}\text{virtualShen}{X}_{K}^{+}\text{}\\ \stackrel{less}{⇐}\text{realZi}{X}^{+}\stackrel{less}{⇔}\text{realChou}{X}^{-}\end{array}$

The transfer relationship of the second transfer law running is the killing or liking relationship, denoted by $⇒$ or $⇔$. The running condition of the second transfer law is both $\left({\rho }_{1}+{\rho }_{2}{\rho }_{3}\right)<\left(1-{\rho }_{2}{\rho }_{3}\right)$ and ${\rho }_{3}=c\rho \left(x\right)\ge 0$.

By Theorem 2.1 and Corollary 2.1, the running condition is equivalent to both ${\rho }_{0}>{\rho }_{1}=\rho \left(x\right)>0$ and $1\ge c\ge 0$. That ${\rho }_{3}=c\rho \left(x\right)\to 0$ means the lack of capability of self-protection. Of course, it is the basis condition of running the second transfer law.

The stopping condition of the second transfer law is both

$\left({\rho }_{1}+{\rho }_{2}{\rho }_{3}\right)\ge \left(1-{\rho }_{2}{\rho }_{3}\right)$ and ${\rho }_{3}=c\rho \left(x\right)>0$, which is the running condition of the first transfer law, or, the existence condition of capabilities of both intervention reaction and self-protection. To follow or utilize the running of the second transfer law is equivalent to the following method. For dong so, it is to protect and maintain the killing or liking relationship of the steady multilateral system. The method can strengthen all of both ${\rho }_{1}-{\rho }_{3}=\rho \left(x\right)\left(1-c\right)$ and ${\rho }_{2}-{\rho }_{1}{\rho }_{3}=\rho {\left(x\right)}^{2}\left(1-c\right)$ tending to be small at the same time. In other words, using the method can make c tends to be large for a fixed $\rho \left(x\right)>0$. It is because the transferring condition of the killing or liking relation disease $\left({\rho }_{1}+{\rho }_{2}{\rho }_{3}\right)<\left(1-{\rho }_{2}{\rho }_{3}\right)$ is the weaker the use, which dues to ${\rho }_{3}=c\rho \left(x\right)$ is the greater the use. The transferring way can make both ${\rho }_{1}-{\rho }_{3}\to 0$ and ${\rho }_{2}-{\rho }_{1}{\rho }_{3}\to 0$ at the same time such that the killing or liking relation disease cannot be transferred. In other words again, if the treatment principle of the killing relationship diseases is to use continuously abiding by the second transfer law, then the coefficient of self-protection will tend to be the occurrence state, i.e., ${\rho }_{3}=c\rho \left(x\right)>0$ where $1\ge c\ge \frac{1-\rho \left(x\right)}{2\rho {\left(x\right)}^{3}}\ge 0$, and the coefficients of intervention reaction also will tend to the healthy state, i.e., ${\rho }_{0}\le {\rho }_{1}=\rho \left(x\right)\le 1$, such that $\left({\rho }_{1}+{\rho }_{2}{\rho }_{3}\right)\ge \left(1-{\rho }_{2}{\rho }_{3}\right)$.#

Medical and drug resistance problem is that such a question, beginning more appropriate medical treatment, but is no longer valid after a period. In the state

$\begin{array}{l}{\rho }_{1}-{\rho }_{3}=\rho \left(x\right)\left(1-c\right)\to 0,\\ {\rho }_{2}-{\rho }_{1}{\rho }_{3}=\rho {\left(x\right)}^{2}\left(1-c\right)\to 0,\end{array}$

by Theorem 3.4 and 3.5, any medical and drug resistance problem is non-existence if the treatment principle of TCM is used. But in the state

$\begin{array}{l}{\rho }_{1}-{\rho }_{3}=\rho \left(x\right)\left(1-c\right)\to \rho \left(x\right),\\ {\rho }_{2}-{\rho }_{1}{\rho }_{3}=\rho {\left(x\right)}^{2}\left(1-c\right)\to \rho {\left(x\right)}^{２},\end{array}$

by Theorems 3.4 and 3.5, the medical and drug resistance problem is always existence, even if the treatment principle of TCM has been used. It is because virtual XK cannot kill real SX if X is intervened by increasing its energy. In other words, the lack of capability of self-protection, i.e., ${\rho }_{3}=c\rho \left(x\right)\to 0$, implies the possible existence of a medical and drug resistance problem, although the treatment principle of TCM has been used. At this point, the paper advocates to follow or utilize the second transfer law in order to prevent and avoid the medical and drug resistance issue occurrence for the unhealthy body.#

4. Treatment Principle of TCM

In order to explain treatment principle of TCM, the changes in the blood pH value range is divided into four parts. From  , Theorems 2.1 and 3.1-3.5, Properties 3.1-3.4 and Corollary 2.1, it can be easily proved that the following theorem is true.

Theorem 4.1 Suppose that the subsystem X of a steady multilateral system falls ill. Let x be the human body blood pH value of the steady multilateral system. Denoted the parameters of the normal range as follows

$a=7.34539,b=7.45461,{t}_{0}=7.4.$

Then the following statements are true.

1) Suppose that $x as virtual, in which X or XK falls a virtual disease with an unhealthy body. The subsystem X or XK itself is the root-cause of a happened virtual disease. And the son XS of X is the symptoms of an expected or a happened virtual disease. The primary treatment is to increase the energy of the subsystem X or XK directly. And the secondary treatment is to increase the energy of the son XS of X, and at the same time, to decrease the energy of the prisoner KX of XS.

2) Suppose that $x\in \left[a,{t}_{0}\right)$ as virtual-normal, in which X or SX will fall a virtual disease with a healthy body. The mother SX of X is the root-cause of an expected virtual disease. And the subsystem X or SX is the symptoms of an expected virtual disease. The primary treatment is to increase the energy of the mother subsystem SX of X which is an indirect treating for X. And the secondary treatment is to increase the energy of X itself, and at the same time, to decrease the energy of the prisoner XK of X.

3) Suppose that $x\in \left[{t}_{0},b\right]$ as real-normal, in which X or XS will encounter a real disease with a healthy body. The son XS of X is the root-cause of an expected real disease. And the subsystem X itself is the symptoms of an expected real disease. The primary treatment is to decrease the energy of the son subsystem XS of X which is an indirect treating for X. And the secondary treatment is to decrease the energy of X itself, and at the same time, to increase the energy of the bane KX of X.

(4) Suppose that $x>b$ as real, in which X or KX encounters a real disease with an unhealthy body. The subsystem X or KX itself is the root-cause of an expected or a happened real disease. And the mother SX of X is the symptoms of an expected real disease. The primary treatment is to decrease the energy of the subsystem X or KX directly. And the secondary treatment is to decrease the energy of the mother SX of X, and at the same time, to increase the energy of the bane XK of SX.#

Remark 6. Treatment principle of Theorem 4.1 based on ranges of the human body blood pH value is called the treatment principle of TCM, since it is in order to protect and maintain the balance of two incompatibility relations: the loving or liking relationship and the killing or liking relationship.

For the unhealthy body where $x or $x>b$, the treatment principle is the method for doing so in the following:

The primary treatment is to increase or decrease the energy of X directly corresponding to $x or $x>b$ respectively, and the secondary treatment is to increase the energy of XS or XK while to decrease the energy of KX or SX, respectively.

The primary treatment is in order to protect and maintain the loving or liking relationship, abiding by TCM’s ideas “Virtual disease with an unhealthy body is to fill itself” and “Real disease with an unhealthy body is to rush down itself”. It is because the method for dong so is not only greatly medical diseases of their own, but also provides the pseudo side effects as the food for the second physiological system. The method is to promote the first physiological system running since the second physiological system controls the first physiological system. And it is also to improve the loving or liking relationship to develop since the loving or liking relationship mainly comes from the first physiological system. The loving or liking relationship to develop can strengthen both that ${\rho }_{1}+{\rho }_{2}{\rho }_{3}=\rho \left(x\right)+c\rho {\left(x\right)}^{2}$ tends to be large and that $1-{\rho }_{2}{\rho }_{3}=1-c\rho {\left(x\right)}^{3}$ tends to be small at the same time. In other words, the way can make all of both $\rho \left(x\right)$ and c tend to be large, at least, c greater than zero for an unhealthy body and ${\rho }_{0}\le \rho \left(x\right)\le 1$, such that the body from unhealthy to healthy, or the first physiological system works, or, the occurrence of capability of self-protection, or, the running of the first transfer law, or, the stopping of the second transfer law.

The secondary treatment is in order to protect or maintain the killing or liking relationship, abiding by TCM’s ideas “Don’t have disease cure cure non-ill” and “Strong inhibition of the same time, support the weak”. By the second transfer law in Theorems 3.4 and 3.5, the more serious relation disease is the relation disease between virtual XS and real KX, or between real SX and virtual XK respectively.

Abiding by TCM’s idea “Don’t have disease cure cure non-ill”, it must be done to prevent or avoid the more serious relation disease between virtual XS and real KX, or between real SX and virtual XK occurrence respectively.

Abiding by TCM’s idea ‘Strong inhibition of the same time, support the weak”, it must be done to increase the energy of XS or XK while decrease the energy of KX or SX respectively.

The method for doing so can improve the killing or liking relationship to develop since real XS or XK can kill virtual KX or SX respectively. The killing or liking relationship to develop means that both ${\rho }_{1}-{\rho }_{3}=\rho \left(x\right)\left(1-c\right)$ and ${\rho }_{2}-{\rho }_{1}{\rho }_{3}=\rho {\left(x\right)}^{2}\left(1-c\right)$ tend to be small at the same time. In other words, the way can make, for fixed $\rho \left(x\right)$, c tending to be large, at least, greater than zero for an unhealthy body, such that the body from unhealthy to healthy, or the first physiological system works, or, the occurrence of capability of self-protection, or, the running of the first transfer law, or, the stopping of the second transfer law.

For the healthy body where $x\in \left[a,{t}_{0}\right]$ or $x\in \left({t}_{0},b\right]$, the treatment principle is the method for doing so in the following:

The primary treatment is to increase or decrease the energy of SX or XS corresponding to $x\in \left[a,{t}_{0}\right]$ or $x\in \left({t}_{0},b\right]$ respectively, and the secondary treatment to increase the energy of KX or X while to decrease the energy of X or XK, respectively.

The primary treatment is in order to protect and maintain the loving or liking relationship, abiding by TCM’s ideas “Virtual disease with a healthy body is to fill mother” and “Real disease with a healthy body is to rush down its son”. It is because the method for dong so is not only greatly medical diseases of their own, but also provides the pseudo side effects as the food for the second physiological system. The method is to promote the first physiological system running since the second physiological system controls the first physiological system. And it is also to improve the loving or liking relationship developing since the loving or liking relationship mainly comes from the first physiological system. The loving or liking relationship developing can strengthen both that ${\rho }_{1}+{\rho }_{2}{\rho }_{3}=\rho \left(x\right)+c\rho {\left(x\right)}^{2}$ tends to be large and that $1-{\rho }_{2}{\rho }_{3}=1-c\rho \left(x\right)$ tends to be small at the same time. In other words, using the way can make all of both $\rho \left(x\right)$ and $0 tending to be large, the best, all equal to 1 for a healthy body, such that the capability of self-protection is in the best state, or, the non-existence of side effects issue, or, the non-existence of medical and drug resistance problem.

The secondary treatment is in order to protect or maintain the killing or liking relationship, abiding by TCM’s ideas “Don’t have disease cure cure non-ill” and “Strong inhibition of the same time, support the weak”. By the first transfer law, the more serious relation disease is the relation disease between real X and virtual KX or between virtual X and real XK corresponding to real X or virtual X, respectively.

Abiding by TCM’s idea “Don’t have disease cure cure non-ill”, it must be done to prevent and avoid the more serious relation disease between real X and virtual KX or between virtual X and real XK occurrence corresponding to real X or virtual X respectively.

Abiding by TCM’s idea “Strong inhibition of the same time, support the weak”, it must be done to increase the energy of KX or X while decrease the energy of X or XK respectively.

The method for doing so can improve the killing or liking relationship developing since real KX or real X can kill virtual X or virtual XK respectively. The killing or liking relationship developing also means that both ${\rho }_{1}-{\rho }_{3}=\rho \left(x\right)\left(1-c\right)$ and ${\rho }_{2}-{\rho }_{1}{\rho }_{3}=\rho {\left(x\right)}^{2}\left(1-c\right)$ tend to be small at the same time. In other words, using the way can make, for fixed $\rho \left(x\right)$, $0 tending to be large, the best, equal to 1 for a healthy body, such that the capability of self-protection is in the best state, or, the non-existence of side effects, or, the non-existence of medical and drug resistance issue.#

5. Acupucture Is Used to Treat Limb-Girdle Muscular Dystrophy

The patient, female, 3 years old. Four months ago complained of fatigue, abdominal pain. She is more likely to be tired and restless than her peers, and cry after waking up at night. To Zhengzhou city a hospital check ecg showed: extended PR value. By checking the myocardial enzyme: the index of creatine kinase was high (500.5 U/L, normal range (26, 200)), the body’s blood pH value was low (7.24409, virtual, normal range [7.34539, 7.45461] and the center 7.4), preliminary determination of myocarditis. By myocarditis was discharged on hospital treatment after 9 days, 20 days after the review of myocardial enzyme: the index of creatine kinase higher, (1573 U/L, normal range (26, 200)), the body’s blood pH value lower (7.23682, virtual, normal range [7.34539, 7.45461] and the center 7.4). Hence to a Beijing hospital for emg and its genetic testing. Genetic testing results show that a clear diagnosis of limb girdle muscular dystrophy. This disease in western medicine, there is no treatment and effective drugs. On July 3, 2017 children to Henan province Zhang Bibo institute of TCM acupuncture treatment.

Children are suffering from the disease is a genetic disease, is relatively rare. Should adhere to the TCM thinking. According to the clinical symptoms, muscular dystrophy in TCM “expression paralysis syndrome” category. Need to regulate spleen and stomach, benefit Chi and blood. The age of children is small, her capability of self-protection is poor. Her pathogenesis is lack of innate endowment, acquired taste disorder, need to regulate spleen and stomach, tonic is deficient.

Because the body pH blood value is $x=7.23682 or $\rho <{\rho }_{0}$, by (1) of Theorem 4.1, the subsystem earth(XK) (the spleen and stomach) falls a virtual disease with an unhealthy body. The subsystem earth(XK) (the spleen and stomach) itself is the root-cause of a happened virtual disease. And the son xiang-fire ( ${X}_{S}^{x}$ ) (the pericardium and the triple energizer) of wood(X) (the liver and gallbladder) is the symptoms of an expected virtual disease. The primary treatment is to increase the energy of the subsystem earth(XK) (the pleen and stomach) directly. And the secondary treatment is to increase the energy of the son xiang-fire ( ${X}_{S}^{x}$ ) (the pericardium and the triple energizer) of wood(X) (the liver and gallbladder), and at the same time, to decrease the energy of the prisoner metal (KX) (the lung and large intestine) of xiang-fire ( ${X}_{S}^{x}$ ) (the pericardium and the triple energizer).

Therefore, the primary treatment in to find out holes: SanYinJiao (三阴交, to increase the energy of the subsystem earth ( ${X}_{K}^{-}$ ) (the spleen) directly), ZuSanLi (足三里, to increase the energy of the subsystem earth ( ${X}_{K}^{+}$ ) (the stomach) directly), the TianShu (天枢, to increase the energy of the subsystem earth ( ${X}_{K}^{+}$ ) (the stomach) directly), ZhongWan (中脘, to increase the energy of the subsystem earth ( ${X}_{K}^{+}$ ) (the stomach) directly).

Secondary treatment is to find out holes: NeiGuan (内关,to increase the energy of the son xiang-fire ( ${X}_{S}^{x-}$ ) (the pericardium) of wood(X) (the liver and gallbladder)), HeGu (合谷, to decrease the energy of the prisoner metal ( ${K}_{X}^{+}$ ) (the large intestine) of xiang-fire ( ${X}_{S}^{x}$ ) (the pericardium and the triple energizer)).

Methods: mild reinforcing and attenuating, prick .Once a day.

After 40 days of acupuncture therapy, the children lack of power and fatigue symptoms improved significantly, not to cause abdominal pain, sleep smoothly at night. Review of myocardial enzymes: the index of creatine kinase is lower, (192 U/L, normal range (26, 200)), the body’s blood pH value is virtual-normal (7.34929, normal range [7.34539, 7.45461] and the center 7.4). Children with symptoms improved obviously, and myocardial enzyme decline in more than half. Return no recurrence.

Muscular dystrophy in TCM belongs to “expression paralysis syndrome” category. The paper of the emperor neijing (“皇帝内经”) discusses the pathogenesis “limbs are adhered to in the stomach ..., spleen disease cannot make the stomach fluid, limb may not be the great water spirit, bones and muscles are not born to chi, reason need not how”, “the energy (Chi) of the foot TaiYin spleen meridian is off, pulse will not honor muscle”, “so the lung hot leaf scorch, fur muscles weak thin, the born is an expression paralysis syndrome”. Think its pathogenesis is: the spleen and stomach are deficient, Chi and blood not free.

The paper of the emperor neijing (“皇帝内经”) treatment method is put forward as follows: “treating expression paralysis syndrome alone takes the YangMing meridian”, “fill their honor (荣穴) and smooth their shu (俞穴), adjust its virtual and real condition, harmony with its inverse and smooth. Channels of the same flesh and blood, with its time by month”. Points out that the treatment should take its YangMing meridian, fill their honor (荣穴) and smooth their shu (俞穴).

SanYinJiao hole (三阴交穴, three vaginal intercourse hole) belongs to the foot TaiYin spleen meridian or the subsystem earth ( ${X}_{K}^{-}$ ). It is one of the famous Yang back nine needle holes (回阳九针穴, clinical first aid commonly used nine effective acupuncture point, for the treatment of syncope, cold limbs vein lies, Yang would like to take off, the operation can be back to Yang to save lives. Due to the “acupuncture poly examples”(“针灸聚英”),that is, YaMen (哑门), LaoGong (劳宫), SanYinJiao (三阴交), YongQuan (涌泉), DaXi (大溪), ChungWan (中脘), HuanTiao (环跳), ZuSanLi (足三里), HeGu (合谷)). Acupuncture three vaginal intercourse hole advocates the and blood of the whole body, fills the energies of spleen and stomach, helps the transport of the energies, clears and activates the channels and collaterals, and harmonies with the effect of Chi and blood.

ZuSanLi hole (足三里穴, foot three mile hole) belongs to the foot YangMing stomach meridian or the subsystem earth ( ${X}_{K}^{+}$ ). It is one of the famous four total holes (四总穴, Ancient acupuncture doctor summed up four holes commonly used in clinical practice effect. The holes are ZuSanLi (足三里), WeiZhong (委中), LieQue (列缺), or HeGu (合谷). “Acupuncture dacheng” (“针灸大成”) carrying “four total hole song”: “both belly and abdominal stay at ZuSanLi, both waist and back find in Weizhong, the head looks for LieQue, both surface and mouth are closed by HeGu.” Briefly summarizes the way the attending of the four points. Future generations on this basis, and gain “both chest and threats response in NeiGuan (内关), first aid looking for ShuiGou (水沟)” two words, said six total holes). It is also one of the famous twelve sky-star holes (天星十二穴, one of the most important and commonly used acupuncture points in a human body’s twelve meridians, the treatment of diseases is widespread, curative effect is obvious. The holes are ZuSanLi (足三里), NeiTing (内庭), QvChi (曲池), HeGu (合谷), WeiZhong (委中), ChengShan (承山), TaiChong (太冲), KunLun (昆仑), HuanTiao (环跳), YangLing (阳陵), TongLi (通里), LieQue (列缺)). Of course, it is also one of the famous Yang back nine needle holes (回阳九针穴). “The peaceful holy benevolence formulae” (“太平圣惠方”) said “the five labors won over and thin, seven injured empty spent, all adjustments by the foot three mile”. Needle foot three mile, make up and down with blood Chi lines, YangMing meridian Chi can be better run in channels and collaterals, to charge the insides or five-zang and six-fu organs.

Acupuncture SanYinJiao and ZuSanLi, a spleen and a stomach, a surface and an inside, health the spleen and harmony the stomach, is good for Chi and produces blood, and finally increases the energy of earth (XK).

TianShu hole (天枢穴, pivot hole) also belongs to the foot YangMing stomach meridian (足阳明胃经) or the subsystem earth ( ${X}_{K}^{+}$ ). It is also the tomb of hand YangMing large intestine meridian (手阳明大肠经). It is the hub of the stomach. Acupuncture TianShu hole can dredge relieving Chi, regulate the hardness of middle and lower energizers. Has the energy function of two-way regulate spleen and stomach, can increase the energy of the subsystem earth ( ${X}_{K}^{+}$ ).

ZhongWan hole (中脘穴, ChungWan hole) belongs to the Ren vein (任脉) or the foot YangMing stomach meridian (足阳明胃经) or the subsystem earth ( ${X}_{K}^{+}$ ). It is one of the famous Yang back nine needle holes (回阳九针穴). It is also the tomb of foot YangMing stomach meridian (足阳明胃经). It is also the gather hole of fu-organs of eight gather holes. It is also the gather hole of the hand TaiYang bladder meridian (手太阳膀胱经), the hand ShaoYang triple energizer meridian (手少阳三焦经) and Ren vein (任脉). Acupuncture ZhongWan can regulate spleen and stomach, regulate Chi activity of six-fu-organs, can increase the energy of the subsystem earth ( ${X}_{K}^{+}$ ).

NeiGuan hole (内关穴, Shut hole) belongs to the hand JueYin pericardium meridian (手厥阴心包经) or the subsystem xiang-fire ( ${X}_{S}^{x-}$ ). It is one of the famous six total holes (六总穴). This hole for collaterals acupuncture point, secondly, one of the gather holes of eight veins. The hand JueYin pericardium meridian presided over the network to its heart. Acupuncture NeiGuan can promote the heart Yang, leader of the sanjiao (triple energizer), and finally can increase the energy of xiang-fire ( ${X}_{S}^{x-}$ ).

HeGu hole (合谷穴, valley hole) belongs to the hand YangMing large intestine meridian (手阳明大肠经) or the subsystem metal ( ${K}_{X}^{+}$ ). It is one of the famous Yang back nine needle holes (回阳九针穴). It is one of the famous four total holes (四总穴) or six total holes (六总穴). It is also one of the famous twelve sky-star holes (天星十二穴). It is the original point of the hand YangMing large intestine meridian. The original holes flow in the SanJiao (triple energizer), originated from the kidney under the navel of motion energy (Chi). Acupuncture HeGu can stimulate the function of movement of the whole body energy (Chi), to decrease the energy of the subsystem metal ( ${K}_{X}^{+}$ ).

The above points are suitable, can adjust the energy function of spleen and stomach, tonic dredge Chi and blood, promote the viscera energy function recovery.

This example with the type of limb with muscular dystrophy, at present, in the world is a medical problem, no effective drugs and methods of treatment. The author USES “regulate spleen and stomach, Chi and blood tonic” thinking of traditional Chinese medicine treatment of 40 days, does have effect and obvious effect. Consulting relevant literature, the writer has not been found by acupuncture treatment of this kind of disease related information, so the topic.

The analysis of this paper focus on the mathematical structure of both Zangxiang and Jingluo. How about the real cases? In the real cases, there are a lot of kinds of diseases. In mathematics, first, you must determine the scope of the illness. That is to say: must determine which Zangxiang and meridian disease belongs to. For example, for the purpose of this case, must first determine the disease belongs to the spleen Zang and the foot YangMing stomach meridian.

How to fit the Zangxiang (藏象) and Jingluo (经络)into a mathematical model. Regards the Zangxiang and Jingluo as a mathematical model, which can be mathematically proved that deal with the method of the disease. For example, for the purpose of this case, dealing with the first method is to deal directly with the spleen Zang of the disease as the root-cause, i.e., to increase the energy of the spleen Zang. Auxiliary treatment method is to increase the energy of the pericardium meridian as symptoms, at the same time, reduce the energy of the lung meridian as symptoms. This method of healing must pass the mathematics to prove.

The effect of Zangxiang and Jingluo on the blood pH value should be evaluated. Measurement of the blood pH value objective is to determine whether the body health, disease of real or virtual illness, and mathematically sure cure method. For example, for the purpose of this case, the blood pH range, is the situation of the (1) of Theorem 4.1 as virtual, natural the cure method is determined. So, measuring the blood pH value in the range is a very important work. Because for different people in different time, the treatment methods are not the same. Must by measuring the blood pH value in the range at any time, to determine the cure method should be used at any time.

For the purpose of this case, it may be not necessary to show the hand ShaoYin heart meridian (手少阴心经). But from the perspective of mathematical analysis, the hand ShaoYin heart meridian is must considered. Because the hand ShaoYin heart meridian and the hand JueYin pericardium meridian although belong to the heart Zang, but the hand JueYin pericardium meridian can substitute for the hand ShaoYin heart meridian under fault. So to increase the energy of the heart Zang must be the hand JueYin pericardium meridian, can’t be the hand ShaoYin heart meridian.#

6. Conclusions

This work shows how to treat the diseases of a human body by using the human blood pH value x. For the human blood pH value, the range of theory is $\left[7.34539,7.45461\right]$ nearly to $\left[7.35,7.45\right]$. By both the Zangxiang system or the ten Heavenly Stems model and the Jingluo system or the twelve Earthly Branches model, there is the first or second transfer law of human energies corresponding to a healthy body or an unhealthy body respectively. The first or second transfer law of human energies changes according to the different human body’s blood pH values whether in the normal range or not. For the normal range, the first transfer law of human energies in Theorems 3.2 and 3.3 runs; for the abnormal range, the second transfer law of human energies in Theorems 3.4 and 3.5 runs.

We assume that the range of a human body’s blood pH value x is divided into four parts from small to large. Both second and third are for a healthy body with a virtual or real disease respectively. In this case, the root-cause of a virtual or real disease is the mother or son of the falling-ill subsystem X respectively, and the symptoms are the subsystem X itself. Abiding by TCM’s idea: “Searching for a root cause of disease in cure, treatment of both the root-cause and symptoms at the same time” (治病求本, 标本兼治), the works are first the prevention or the treatment for the mother or son of a virtual or real disease respectively, the second the prevention or the treatment for a more serious relation disease between virtual X and real XK or between real X and virtual KX, respectively. Both the root-cause and the symptoms come from the first transfer law of human energies in Theorems 3.2 and 3.3.

And both first and fourth are for an unhealthy body with a virtual or real disease respectively. In this case, the root-cause of a virtual or real disease is the subsystem X itself and the symptoms of the son or mother of the falling-ill subsystem X respectively. Abiding by TCM’s idea: “Searching for the primary cause of disease in treatment, treat both symptoms and root-cause” (治病求本, 标本兼治), the works are first the prevention or the treatment for itself of a virtual or real disease respectively, the second is the prevention or the treatment for a more serious relation disease between virtual XS and real KX or between real SX and virtual XK, respectively. Both the root-cause and the symptoms come from the second transfer law in Theorems 3.4 and 3.5.

Human disease treatment should protect and maintain the balance or order of two incompatibility relations: the loving or liking relationship and the killing or liking relationship. The method for doing so can make the ${\rho }_{3}=c\rho \left(x\right)$ tend to be large, i.e., all of both $\rho \left(x\right)$ and c tend to be large, at least, greater than zero for an unhealthy body; or, the best, equal to 1 for a healthy body.

The following way can make the capabilities of both intervention reaction and self-protection become in the best state, the non-existence of side effects issue, the non-existence of medical and drug resistance problem, and so on.

1) Suppose that $x, as virtual, in which X or XK falls a virtual disease with an unhealthy body. The subsystem X or XK itself is the root-cause of a happened virtual disease. And the son XS of X is the symptoms of an expected or a happened virtual disease. Abiding by TCM’s idea: “Searching for the primary cause of disease in treatment, treat both symptoms and root-cause” (治病求本,标本兼治), it should be done to do in the following.

In order to protect or maintain the loving relationship, abiding by TCM’s idea “Virtual disease with an unhealthy body is to fill itself” (虚则补之), increase the energy of X or XK directly.

In order to protect or maintain the killing relationship, abiding by TCM’s idea “Don’t have disease cured, cure non-ill” (不治已病治未病), do a preventive treatment for the more serious relation disease between virtual XS and real KX.

Through the intervening principle of “Strong inhibition of the same time, support the weak” (抑强扶弱), increase the energy of the son XS of X while decrease the energy of the prisoner KX of XS.

2) Suppose that $a=7.34539\le x\le {t}_{0}=7.4$, as virtual-normal, in which X or SX falls a virtual disease with a healthy body. The mother SX of the subsystem X is the root-cause of an expected virtual disease. And the subsystem X itself is the symptoms of an expected virtual disease. Abiding by TCM’s idea: “Searching for a root cause of disease in cure, treatment of both the root-cause and symptoms at the same time” (治病求本, 标本兼治), it should be done to do in the following.

In order to protect or maintain the loving relationship, abiding by TCM’s idea “Virtual disease with a healthy body is to fill its mother” (虚则补其母), increase the energy of the mother SX of X. The treating way is an indirect treating for X.

In order to protect or maintain the killing relationship, abiding by TCM’s idea “Don’t have disease cured, cure non-ill” (不治已病治未病), do a preventive treatment for the more serious relation disease between virtual X and real XK.

Through the intervening principle of “Strong inhibition of the same time, support the weak” (抑强扶弱), increase the energy of X itself while decreasing the energy of the prisoner XK of X.

3) Suppose that ${t}_{0}=7.4, as real-normal, in which X or SX falls a real disease with a healthy body. The son SX of the subsyste X is the root-cause of an expected real disease. And the subsystem X itself is the symptoms of an expected real disease. Abiding by TCM’s idea: “Searching for a root cause of disease in cure, treatment of both the root-cause and symptoms at the same time” (治病求本, 标本兼治), it should be done to do in the following.

In order to protect or maintain the loving relationship, abiding by TCM’s idea “Real disease with a healthy body is to rush down its son” (实则泄其子), decrease the energy of the son SX of X. The treating way is an indirect treating for X.

In order to protect or maintain the killing relationship, abiding by TCM’s idea “Don’t have disease cured, cure non-ill” (不治已病治未病), do a preventive treatment for the more serious relation is ease between real X and virtual KX.

Through the intervening principle of “Strong inhibition of the same time, support the weak” (抑强扶弱), decrease the energy of X itself while increasing the energy of the bane KX of X.

4) Suppose that $x>b=7.45461$, as real, in which X or KX falls a real disease with an unhealthy body. The subsystem X or KX itself is the root-cause of a happened real disease. And the mother SX of X is the symptoms of an expected or a happened real disease. Abiding by TCM’s idea: “Searching for a root cause of disease in cure, treatment of both the root-cause and symptoms at the same time” (治病求本, 标本兼治), it should be done to do in the following.

In order to protect or maintain the loving relationship, abiding by TCM’s idea “Real disease with an unhealthy body is to rush down itself” (实则泄之), decrease the energy of X or KX directly.

In order to protect or maintain the killing relationship, abiding by TCM’s idea “Don’t have disease cured, cure non-ill” (不治已病治未病), do a preventive treatment for the more serious relation disease between real SX and virtual XK.

Through the intervening principle of “Strong inhibition of the same time, support the weak” (抑强扶弱), decrease the energy of the mother SX of X while increase the energy of the bane XK of SX.#

Acknowledgements

Sincerely thanks Prof. Francesco Marchetti (Teacher at the Torelli High School, Fano, Italy; Member of the International Association UN PUNTO MACROBIOTICO, Founded by Prof. Mario Pianesi, Email: francescomarchetti56@gmail.com) for its valuable advice.

This article has been repeatedly invited as reports, such as People’s University of China in medical meetings, Shanxi University, Liaocheng University, Xuchang College, and so on. The work was supported by Specialized Research Fund for the Doctoral Program of Higher Education of Ministry of Education of China (Grant No. 200802691021).

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

Cite this paper

Zhang, Y.S. and Zhang, B.B. (2019) Acupuncture Treating Dystrophy Based on pH. Chinese Medicine, 10, 39-105. https://doi.org/10.4236/cm.2019.102005

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Appendix

Proof of Property 3.1. See Figure 3., since the emperor prosperous place of Jia Yang wood of the ten heavenly stems is in Mao of the twelve earthly branches, so the rowing place is in Hai. It is because by Definition 3.3, counterclockwise to arrange, emperor as Mao, officer as Yin, crowned as Chou, bathing as Zi, rowing as Hai.

Similarly, the emperor prosperous place of Bing, Wu, Geng, Ren Yang fire, earth, metal, water of the ten heavenly stems is in Wu, Wu, You, Zi of the twelve earthly branches, so the rowing place is in Yin, Yin, Si Shen of the twelve earthly branches respectively.

See Figure 3. Again, since the emperor prosperous place of Yi Yin wood of the ten heavenly stems is in Yin of the twelve earthly branches, so the rowing place is in Wu. It is because by Definition 3.3, clockwise to arrange, emperor as Yin, officer as Mao, crowned as Chen, bathing as Si, rowing as Wu.

Similarly, the emperor prosperous place of Ding, Ji, Xin, Gui Yin fire, earth, metal, water of the ten heavenly stems is in Si, Si, Chen, Hai of the twelve earthly branches, so the rowing place is in You, You, Zi, Mao of the twelve earthly branches respectively.

Therefore, the five Yang heavenly stems: Jia, Bing, Wu, Geng, Ren was born Hai, Yin, Yin, Si, Shen respectively; The five Yin heavenly stems: Yi, Ding, Ji, Xin, Gui was born Wu, You, You, Zi, Mao respectively. It completes the proof.#

Proof of Property 3.2. By Definition 3.3 and Properties 3.3 and 3.4, there are

$\begin{array}{l}\text{Zi}\left(0,e\right)=\left\{\text{Gui(0,4)}\right\},\\ \text{Chou}\left(0,\left(23\right)\right)=\left\{\text{Ji(0,2)},\text{Gui(0,4),Xin(0,3)}\right\},\\ ⇒\text{Ji(0,2)*Gui(0,4)}*\text{Xin(0,3)}=\text{Gui(}0,4\right),\\ {\text{Gui(0,4)}}^{-1}*\text{Gui(}0,4\right)=\text{Yi(0,0)}\text{.}\end{array}$

Therefore, the synthesized and synthesized or combined relationship between two elements

$\text{Zi}\left(0,e\right)=\left\{\text{Gui(0,4)}\right\}$ and $\text{Chou}\left(0,\left(23\right)\right)=\left\{\text{Ji}\left(0,0\right),\text{Gui(0,4),Xin(0,3)}\right\}$

is $\text{Yi(0,0)}$ as wood (X) in Theorem 3.1.

Similarly, the synthesized and combined relationship between two elements

$\text{Yin}\left(1,\left(132\right)\right)=\left\{\text{Jia(1,0),Bing(1,1),Wu(1,2)}\right\}$ and $\text{Mao}\left(1,\left(12\right)\right)=\left\{\text{Yi}\left(0,0\right)\right\}$

is $\text{Geng}\left(1,3\right)$ as metal (KX) in Theorem 3.1 since

$\begin{array}{l}\text{Yin}\left(1,\left(132\right)\right)=\left\{\text{Jia(1,0),Bing(1,1),Wu(1,2)}\right\},\\ \text{Mao}\left(1,\left(12\right)\right)=\left\{\text{Yi}\left(0,0\right)\right\},\\ ⇒\text{Jia(1,0)}*\text{Bing(1,1)}*\text{Wu(1,2)}=\text{Geng}\left(1,3\right),\\ \text{Yi}{\left(}^{0}*\text{Geng}\left(1,3\right)=\text{Geng}\left(1,3\right).\end{array}$

The synthesized and synthesized relationship between two elements

$\text{Chen}\left(0,\left(12\right)\right)=\left\{\text{Yi}\left(0,0\right),\text{Wu(1,2)},\text{Gui(0,4)}\right\}$ and

$\text{Si}\left(0,\left(132\right)\right)=\left\{\text{Bing(1,1)},\text{Geng}\left(1,3\right),\text{Wu(1,2)}\right\}$

is $\text{Ji(0,2)}$ as earth (XK) in Theorem 3.1 since

$\begin{array}{l}\text{Chen}\left(0,\left(12\right)\right)=\left\{\text{Yi}\left(0,0\right),\text{Wu(1,2)},\\ \text{Gui(0,4)}\right\},\text{Si}\left(0,\left(132\right)\right)=\left\{\text{Bing(1,1)},\text{Geng}\left(1,3\right),\text{Wu(1,2)}\right\}\\ ⇒\text{Yi}\left(0,0\right)*\text{Wu(1,2)}*\text{Gui(0,4)}=\text{Bing(1,1),}\\ \text{Bing(1,1)}*\text{Geng}\left(1,3\right)*\text{Wu(1,2)}=\text{Bing(1,1),}\\ \text{Bing(1,1)}*\text{Bing(1,1)}=\text{Ji(0,2)}\text{.}\end{array}$

The synthesized and synthesized relationship between two elements

$\text{Wu}\left(1,\left(123\right)\right)=\left\{\text{Ding}\left(0,1\right),\text{Ji}\left(0,2\right)\right\}$ and $\text{Wei}\left(1,\left(13\right)\right)=\left\{\text{Ding}\left(0,1\right),\text{Ji}\left(0,2\right),\text{Yi}\left(0,0\right)\right\}$

is $\text{Ding}\left(0,1\right)$ as xiang-fire ( ${X}_{S}^{x}$ ) (相火) in Theorem 3.1 since

$\begin{array}{l}\text{Wu}\left(1,\left(123\right)\right)=\left\{\text{Ding}\left(0,1\right),\text{Ji}\left(0,2\right)\right\},\\ \text{Wei}\left(1,\left(13\right)\right)=\left\{\text{Ding}\left(0,1\right),\text{Ji}\left(0,2\right),\text{Yi}\left(0,0\right)\right\},\\ ⇒\text{Ding}\left(0,1\right)*\text{Ji}\left(0,2\right)=\text{Xin(0,3),}\\ \text{Ding}\left(0,1\right)*\text{Ji}\left(0,2\right)*\text{Yi}\left(0,0\right)=\text{Xin(0,3),}\\ \text{Xin(0,3)}*\text{Xin(0,3)}=\text{Ding}\left(0,1\right).\end{array}$

The synthesized relationship between between the comprehensive energy of two elements

$\text{Shen}\left(0,\left(13\right)\right)=\left\{\text{Geng}\left(1,3\right),\text{Ren(1,4),Wu(1,2)}\right\}$ and $\text{You}\left(0,\left(123\right)\right)=\left\{\text{Xin}\left(0,3\right)\right\}$

is $\text{Ren}\left(1,4\right)$ as water (SX) in Theorem 3.1 since

$\begin{array}{l}\text{Shen}\left(0,\left(13\right)\right)=\left\{\text{Geng}\left(1,3\right),\text{Ren(1,4),Wu(1,2)}\right\},\\ \text{You}\left(0,\left(123\right)\right)=\left\{\text{Xin}\left(0,3\right)\right\},\\ ⇒\text{Geng}\left(1,3\right)*\text{Ren(1,4)}*\text{Wu(1,2)}=\text{Ren}\left(1,4\right),\\ \text{Xin}{\left(}^{0}*\text{Wu(1,2)}=\text{Ren}\left(1,4\right).\end{array}$

The synthesized relationship between two elements

$\text{Xu}\left(1,\left(23\right)\right)=\left\{\text{Xin}\left(0,3\right),\text{Wu(1,2)},\text{Ding}\left(0,1\right)\right\}$ and $\text{Hai}\left(1,e\right)=\left\{\text{Ren(1,4)},\text{Jia(1,0)}\right\}$

is $\text{Bing(1,1)}$ as jun-fire ( ${X}_{S}^{j}$ ) (君火) in Theorem 3.1 since

$\begin{array}{l}\text{Xu}\left(1,\left(23\right)\right)=\left\{\text{Xin}\left(0,3\right),\text{Wu(1,2)},\text{Ding}\left(0,1\right)\right\},\text{}\\ \text{Hai}\left(1,e\right)=\left\{\text{Ren(1,4)},\text{Jia(1,0)}\right\},\\ ⇒\text{Xin}\left(0,3\right)*\text{Wu(1,2)}*\text{Ding}\left(0,1\right)=\text{Bing(1,1),}\\ {\text{Ren(1,4)}}^{-1}*\text{Jia(1,0)}*\text{Xin}\left(0,3\right)*\text{Wu(1,2)}=\text{Bing(1,1)}\text{.}\end{array}$

Therefore, the following notations in Definition 3.2 is reasonable.

$\begin{array}{cccccc}{X}^{+}\left(0,e\right)& {X}_{S}^{x+}\left(1,e\right)& {X}_{K}^{+}\left(0,\left(12\right)\right)& {K}_{X}^{+}\left(1,\left(12\right)\right)& {S}_{X}^{+}\left(0,\left(13\right)\right)& {X}_{S}^{j+}\left(1,\left(13\right)\right)\\ {X}^{-}\left(0,\left(23\right)\right)& {X}_{S}^{x-}\left(1,\left(23\right)\right)& {X}_{K}^{-}\left(0,\left(132\right)\right)& {K}_{X}^{-}\left(1,\left(132\right)\right)& {S}_{X}^{-}\left(0,\left(123\right)\right)& {X}_{S}^{j-}\left(1,\left(123\right)\right)\end{array}$

It is with the correct meaning of the Yin Yang Wu Xing Model in Theorem 3.1.#

Proof of Property 3.3. Consider the Zangxiang system or the ten Heavenly Stems model ${V}^{2}×{V}^{5}=\left\{\left(i,j\right)|i\in {V}^{2},j\in {V}^{5}\right\}$. Its all relations are as follows:

$\begin{array}{l}{R}_{\left(0,0\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(0,0\right)\right),\left(\left(1,0\right),\left(1,0\right)\right),\\ \left(\left(0,1\right),\left(0,1\right)\right),\left(\left(1,1\right),\left(1,1\right)\right),\left(\left(0,2\right),\left(0,2\right)\right),\\ \left(\left(1,2\right),\left(1,2\right)\right),\left(\left(0,3\right),\left(0,3\right)\right),\left(\left(1,3\right),\left(1,3\right)\right),\\ \left(\left(0,4\right),\left(0,4\right)\right),\left(\left(1,4\right),\left(1,4\right)\right)\right\},\end{array}$

${V}^{2}×{V}^{6}=\left\{\left(i,j\right)|i\in {V}^{2},j\in {V}^{6}\right\}$

$\begin{array}{l}{R}_{\left(0,1\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(0,1\right)\right),\left(\left(1,0\right),\left(1,1\right)\right),\\ \left(\left(0,1\right),\left(0,0\right)\right),\left(\left(1,1\right),\left(1,0\right)\right),\left(\left(0,2\right),\left(0,3\right)\right),\\ \left(\left(1,2\right),\left(1,3\right)\right),\left(\left(0,3\right),\left(0,4\right)\right),\left(\left(1,3\right),\left(1,4\right)\right),\\ \left(\left(0,4\right),\left(0,0\right)\right),\left(\left(1,4\right),\left(1,0\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,1\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(1,1\right)\right),\left(\left(1,0\right),\left(0,1\right)\right),\\ \left(\left(0,1\right),\left(1,2\right)\right),\left(\left(1,1\right),\left(1,2\right)\right),\left(\left(0,2\right),\left(1,3\right)\right),\\ \left(\left(1,2\right),\left(0,3\right)\right),\left(\left(0,3\right),\left(1,4\right)\right),\left(\left(1,3\right),\left(0,4\right)\right),\\ \left(\left(0,4\right),\left(1,0\right)\right),\left(\left(1,4\right),\left(0,0\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(0,2\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(0,2\right)\right),\left(\left(1,0\right),\left(1,2\right)\right),\\ \left(\left(0,1\right),\left(0,3\right)\right),\left(\left(1,1\right),\left(1,3\right)\right),\left(\left(0,2\right),\left(0,4\right)\right),\\ \left(\left(1,2\right),\left(1,4\right)\right),\left(\left(0,3\right),\left(0,0\right)\right),\left(\left(1,3\right),\left(1,0\right)\right),\\ \left(\left(0,1\right),\left(0,1\right)\right),\left(\left(1,1\right),\left(1,1\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,2\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(1,2\right)\right),\left(\left(1,0\right),\left(0,2\right)\right),\\ \left(\left(0,1\right),\left(1,3\right)\right),\left(\left(1,1\right),\left(0,3\right)\right),\left(\left(0,2\right),\left(1,4\right)\right),\\ \left(\left(1,2\right),\left(0,4\right)\right),\left(\left(0,3\right),\left(1,0\right)\right),\left(\left(1,3\right),\left(0,0\right)\right),\\ \left(\left(0,4\right),\left(1,1\right)\right),\left(\left(1,4\right),\left(0,1\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(0,3\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(0,3\right)\right),\left(\left(1,0\right),\left(1,3\right)\right),\\ \left(\left(0,1\right),\left(0,3\right)\right),\left(\left(1,1\right),\left(1,3\right)\right),\left(\left(0,2\right),\left(0,0\right)\right),\\ \left(\left(1,2\right),\left(1,0\right)\right),\left(\left(0,3\right),\left(0,1\right)\right),\left(\left(1,3\right),\left(1,1\right)\right),\\ \left(\left(0,4\right),\left(0,2\right)\right),\left(\left(1,4\right),\left(1,2\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,3\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(1,3\right)\right),\left(\left(1,0\right),\left(0,3\right)\right),\\ \left(\left(0,1\right),\left(1,4\right)\right),\left(\left(1,1\right),\left(0,3\right)\right),\left(\left(0,2\right),\left(1,0\right)\right),\\ \left(\left(1,2\right),\left(0,0\right)\right),\left(\left(0,3\right),\left(1,1\right)\right),\left(\left(1,3\right),\left(0,1\right)\right),\\ \left(\left(0,4\right),\left(1,2\right)\right),\left(\left(1,4\right),\left(0,2\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(0,4\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(0,4\right)\right),\left(\left(1,0\right),\left(1,4\right)\right),\\ \left(\left(0,1\right),\left(0,0\right)\right),\left(\left(1,1\right),\left(1,0\right)\right),\left(\left(0,2\right),\left(0,1\right)\right),\\ \left(\left(1,2\right),\left(1,1\right)\right),\left(\left(0,3\right),\left(0,2\right)\right),\left(\left(1,3\right),\left(1,2\right)\right),\\ \left(\left(0,4\right),\left(0,3\right)\right),\left(\left(1,4\right),\left(1,3\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,4\right)}^{\left(2,5\right)}=\left\{\left(\left(0,0\right),\left(1,4\right)\right),\left(\left(1,0\right),\left(0,4\right)\right),\\ \left(\left(0,1\right),\left(1,0\right)\right),\left(\left(1,1\right),\left(0,0\right)\right),\left(\left(0,2\right),\left(1,1\right)\right),\\ \left(\left(1,2\right),\left(0,1\right)\right),\left(\left(0,3\right),\left(1,2\right)\right),\left(\left(1,3\right),\left(0,2\right)\right),\\ \left(\left(0,4\right),\left(1,3\right)\right),\left(\left(1,4\right),\left(0,3\right)\right)\right\},\end{array}$

Use of these relations, to calculate the cost of all the specified relationship, can be found: the loving or liking relationship with low cost, and the killing relationship with the high cost. It completes the proof.#

Proof of Property 3.4. Consider the Jingluo system or the twelve Earthly Branches model ${V}^{2}×{V}^{6}=\left\{\left(i,j\right)|i\in {V}^{2},j\in {V}^{6}\right\}$. Its all relations are as follows:

$\begin{array}{l}{R}_{\left(0,e\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(0,e\right)\right),\left(\left(1,e\right),\left(1,e\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(0,\left(12\right)\right)\right),\left(\left(1,\left(12\right)\right),\left(1,\left(12\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(0,\left(13\right)\right)\right),\left(\left(1,\left(13\right)\right),\left(1,\left(13\right)\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(0,\left(23\right)\right)\right),\left(\left(1,\left(23\right)\right),\left(1,\left(23\right)\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(0,\left(123\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(1,\left(123\right)\right)\right),\\ \left(\left(0,\left(132\right)\right),\left(0,\left(132\right)\right)\right),\left(\left(1,\left(132\right)\right),\left(1,\left(132\right)\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,e\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(1,e\right)\right),\left(\left(1,e\right),\left(0,e\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(1,\left(12\right)\right)\right),\left(\left(1,\left(12\right)\right),\left(0,\left(12\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(1,\left(13\right)\right)\right),\left(\left(1,\left(13\right)\right),\left(0,\left(13\right)\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(1,\left(23\right)\right)\right),\left(\left(1,\left(23\right)\right),\left(0,\left(23\right)\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(1,\left(123\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(0,\left(123\right)\right)\right),\\ \left(\left(0,\left(132\right)\right),\left(1,\left(132\right)\right)\right),\left(\left(1,\left(132\right)\right),\left(0,\left(132\right)\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(0,\left(12\right)\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(0,\left(12\right)\right)\right),\left(\left(1,e\right),\left(1,\left(12\right)\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(0,e\right)\right),\left(\left(1,\left(12\right)\right),\left(1,e\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(0,\left(132\right)\right)\right),\left(\left(1,\left(132\right)\right),\left(1,\left(132\right)\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(0,\left(123\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(1,\left(123\right)\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(0,\left(23\right)\right)\right),\left(\left(1,\left(23\right)\right),\left(1,\left(23\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(0,\left(13\right)\right)\right),\left(\left(1,\left(13\right)\right),\left(1,\left(13\right)\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,\left(12\right)\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(1,\left(12\right)\right)\right),\left(\left(1,e\right),\left(0,\left(12\right)\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(1,e\right)\right),\left(\left(1,\left(12\right)\right),\left(0,e\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(1,\left(132\right)\right)\right),\left(\left(1,\left(132\right)\right),\left(0,\left(132\right)\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(1,\left(123\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(0,\left(123\right)\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(1,\left(23\right)\right)\right),\left(\left(1,\left(23\right)\right),\left(0,\left(23\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(1,\left(13\right)\right)\right),\left(\left(1,\left(13\right)\right),\left(0,\left(13\right)\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(0,\left(13\right)\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(0,\left(13\right)\right)\right),\left(\left(1,e\right),\left(1,\left(13\right)\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(0,\left(123\right)\right)\right),\left(\left(1,\left(12\right)\right),\left(1,\left(123\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(0,e\right)\right),\left(\left(1,\left(13\right)\right),\left(1,e\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(0,\left(123\right)\right)\right),\left(\left(1,\left(23\right)\right),\left(1,\left(123\right)\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(0,\left(12\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(1,\left(12\right)\right)\right),\\ \left(\left(0,\left(132\right)\right),\left(0,\left(23\right)\right)\right),\left(\left(1,\left(132\right)\right),\left(1,\left(23\right)\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,\left(13\right)\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(1,\left(13\right)\right)\right),\left(\left(1,e\right),\left(0,\left(13\right)\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(1,\left(123\right)\right)\right),\left(\left(1,\left(12\right)\right),\left(0,\left(123\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(1,e\right)\right),\left(\left(1,\left(13\right)\right),\left(0,e\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(1,\left(123\right)\right)\right),\left(\left(1,\left(23\right)\right),\left(0,\left(123\right)\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(1,\left(12\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(0,\left(12\right)\right)\right),\\ \left(\left(0,\left(132\right)\right),\left(1,\left(23\right)\right)\right),\left(\left(1,\left(132\right)\right),\left(0,\left(23\right)\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(0,\left(23\right)\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(0,\left(23\right)\right)\right),\left(\left(1,e\right),\left(1,\left(23\right)\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(0,\left(132\right)\right)\right),\left(\left(1,\left(12\right)\right),\left(1,\left(132\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(0,\left(123\right)\right)\right),\left(\left(1,\left(13\right)\right),\left(1,\left(123\right)\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(0,e\right)\right),\left(\left(1,\left(23\right)\right),\left(1,e\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(0,\left(13\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(1,\left(13\right)\right)\right),\\ \left(\left(0,\left(132\right)\right),\left(0,\left(12\right)\right)\right),\left(\left(1,\left(132\right)\right),\left(1,\left(12\right)\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,\left(23\right)\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(1,\left(23\right)\right)\right),\left(\left(1,e\right),\left(0,\left(23\right)\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(1,\left(132\right)\right)\right),\left(\left(1,\left(12\right)\right),\left(0,\left(132\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(1,\left(123\right)\right)\right),\left(\left(1,\left(13\right)\right),\left(0,\left(123\right)\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(1,e\right)\right),\left(\left(1,\left(23\right)\right),\left(0,e\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(1,\left(13\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(0,\left(13\right)\right)\right),\\ \left(\left(0,\left(132\right)\right),\left(1,\left(12\right)\right)\right),\left(\left(1,\left(132\right)\right),\left(0,\left(12\right)\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(0,\left(123\right)\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(0,\left(123\right)\right)\right),\left(\left(1,e\right),\left(1,\left(123\right)\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(0,\left(13\right)\right)\right),\left(\left(1,\left(12\right)\right),\left(1,\left(13\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(0,\left(23\right)\right)\right),\left(\left(1,\left(13\right)\right),\left(1,\left(23\right)\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(0,\left(12\right)\right)\right),\left(\left(1,\left(23\right)\right),\left(1,\left(12\right)\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(0,\left(132\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(1,\left(132\right)\right)\right),\\ \left(\left(0,\left(132\right)\right),\left(0,e\right)\right),\left(\left(1,\left(132\right)\right),\left(1,e\right)\right)\right\},\end{array}$

$\begin{array}{l}{R}_{\left(1,\left(123\right)\right)}^{\left(2,6\right)}=\left\{\left(\left(0,e\right),\left(1,\left(123\right)\right)\right),\left(\left(1,e\right),\left(0,\left(123\right)\right)\right),\\ \left(\left(0,\left(12\right)\right),\left(1,\left(13\right)\right)\right),\left(\left(1,\left(12\right)\right),\left(0,\left(13\right)\right)\right),\\ \left(\left(0,\left(13\right)\right),\left(1,\left(23\right)\right)\right),\left(\left(1,\left(13\right)\right),\left(0,\left(23\right)\right)\right),\\ \left(\left(0,\left(23\right)\right),\left(1,\left(12\right)\right)\right),\left(\left(1,\left(23\right)\right),\left(0,\left(12\right)\right)\right),\\ \left(\left(0,\left(123\right)\right),\left(1,\left(132\right)\right)\right),\left(\left(1,\left(123\right)\right),\left(0,\left(132\right)\right)\right),\\ \left(\left(0,\left(132\right)\right),\left(1,e\right)\right),\left(\left(1,\left(132\right)\right),\left(0,e\right)\right)\right\},\end{array}$