International Journal of Engineering and Technical Research (IJETR)
ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
RPI for the Wood Subsystem based on Zangxiang and
Jingluo– Mathematical Reasoning of Economic
Intervening Principle Based on Yin Yang Wu Xing
Theory in Traditional Chinese Economics (III)
Yingshan Zhang
economic social system itself, the capabilities for intervention
reaction and self-protection of the economic social system as
an economy and mind as a whole, related to the environment,
food, health and personal history, air, water, earth, climate,
season, etc. The RPI is as useful in understanding economic
disease as the average is in statistics, or as the expected value
is in probability calculation.
Teach in retail prices of commodities is the last link in the
process of the flow of goods in the price index, it covers all
industrial, commercial, catering and other retail enterprise
groups to the urban and rural residents, organ selling prices of
consumer goods and office supplies, reflect a certain period
retail price change trend and degree of index data.
RPI index statistics of major commodities, including food,
beverages, tobacco, clothing shoes and hats, textiles, Chinese
and western medicines, cosmetics, books, newspapers,
magazines, cultural and sports supplies, daily necessities,
household appliances, jewelry, fuel, building decoration
materials and mechanical and electrical products, such as 14
categories.In each class, in several categories and points
within the class divided into small classes, the program is to
small class first, then in the class, major categories, finally by
the various categories of commodity retail price index
weighted
average
income.
Look from the definition, the commodity retail price refers to
(RPI) and consumer price index (CPI) both are similar, this is,
commodity retail price index statistics scope is wide than the
consumer price index, and the different aims of both statistical
and RPI compiled the purpose is to grasp the changes in prices
of goods market, and compiled on the basis of various other
derived counsel, for studying market circulation and the
national economic accounting.The CPI is mainly to see
inflation levels.Of course, look from the China statistical
yearbook, both trends are almost synchronous, has a high
degree of correlation.
A microcosm of the macro economy as RPI is headed. RPI
index is commodity the price of the last link in the process of
circulation.According to the law of supply and demand rule, it
is known: what is the price of high demand and increase
supply, demand for lower prices to increase supply
decrease.If commodity retail price overall level continues to
increase, in the case of other factors unchanged, people's
consumption atrophy, reduced demand, this leads to a lot of
unsold goods, supply, direct impact on corporate profits and
the future market is likely to enter the vicious circle.So how
do you solve this problem, the general government will
implement a proactive fiscal and monetary policy, increase
spending on people's livelihood, measures such as increasing
Abstract— Theory of both Zangxiang (藏象) and Jingluo (经
络 ) is useful in understanding economic disease. By using
mathematical reasoning based on Yin Yang Wu Xing Theory in
Traditional Chinese Economics (TCE), this paper demonstrates
the treatment principle: “Searching for the primary cause of
disease in treatment, treat both symptoms and root-cause”(治病
求本,标本兼治). It means that for the economic society, there is
the mathematical structure of both Zangxiang and Jingluo as
the second physiological system of steady multilateral systems. It
can be used to determine both the root-cause and symptoms of
the sick subsystem by uing both Zangxiang and Jingluo. The
first or second transfer law of economic society energies of both
Zangxiang and Jingluo changes according to the different RPI
(Retail Price Index) inflation rate of economic society whether in
the normal range or not. In general, for the RPI inflation rate,
the normal range of theory is[0.8789%,5.2241%] nearly to
[1%,5%] , and the center is 2.7047% nearly to 3% . Assume that
the range of a RPI inflation rate is divided into four parts from
small to large. Both second and third are for a healthy economy.
The treating works are the treatment directly for a root-cause
and the prevention indirectly for a more serious relation
economic disease as symptoms. Both the root-cause and
symptoms come from the first transfer law of economic society
energies. And both first and fourth are for an unhealthy
economy. The treating works are the treatment directly for a
root-cause or the prevention indirectly for a more serious
relation economic disease as symptoms. Both the root-cause and
symptoms come from the second transfer law of economic
society energies. Economic disease treatment should protect and
maintain the balance of two incompatibility relations: the loving
relationship and the killing relationship.As an application, the
Chinese RPI inflation rate can be used for the wood subsystem
how to do works based on to determine both the root-cause and
symptoms of the sick subsystem of steady multilateral systems.
Index Terms— Traditional Chinese Economics (TCE), Yin
Yang Wu Xing Theory, steady multilateral systems,
incompatibility relations, side effects, medical and drug
resistance problem
I. INTRODUCTION
Theory of both Zangxiang ( 藏象) and Jingluo ( 经络) is
useful in understanding disease. Zangxiang and Jingluo are
two general mathematical structures. The RPI (Producer
Price Index) of both Zangxiang and Jingluo is a general
parameter linking together the complexity of relations
between subsystem pairs of economic social system,
Yingshan Zhang, School of Statistics, Faculty of Economics and
Management, East China Normal University,Shanghai,P. R. China
33
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RPI for the Wood Subsystem based on Zangxiang and Jingluo– Mathematical Reasoning of Economic Intervening
Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)
the income of people and to expand domestic demand to
stimulate consumption, to solve the problems about
circulation field, the market into a virtuous cycle.But the
problem is not so simple, if the RPI index rise is due to the
circulation of money increase inflation pressure, are much
more difficult to solve, you need to shrink in circulation
currency, such as raising interest rates and other measures to
solve them.Because both the RPI and CPI trend with
synchronicity, so it is said, the RPI is a miniature of the macro
economy.
Internationally, RPI data applications also is more, in the
United States, the ministry of commerce investigation into
national commercial sampling every month, summarize from
commodity retail price index, and on the basis of paying close
attention to the macro economy is headed.The RPI statistical
product range is wide, pay by cash or credit card form of retail
goods were included in the survey, including furniture,
electrical appliances, supermarket sales of goods and
medicine, etc., but excludes services consumption.
Through the growth rate of price index to calculate the rate of
inflation, prices can be respectively by the consumer price
index (CPI), the producer price index (PPI), the retail price
index (RPI), and the gross national product (GNP) as
conversion price index. In order to examine the retail business
development situation, general use of RPI, its formula is as
follows:
CPI. So the central bank can minimize the inflation by taking
certain predictive measures to keep the input prices under
control. Because of the relation between the RPI and the CPI,
the normal range of the RPI inflation rate can be obtained
from the normal range of the CPI inflation rate. It is found that
the normal range of the CPI inflation rate is from 2% to 5%.
There are a lot of evidences (e.g., experimental identification
for probability and real applications) to support this
viewpoint, such as, Crone etc [2], Pauhofova etc [3],Funke etc
[4], Formica etc [5], Fan etc [6], Adams [7], Hausman [8],
Nahm [9], Moosa [10], Zhao [11], Daniel [12], Anonymous
[13-14], and so on.
It is believed that the normal range of the RPI inflation rate
is from 1% to 5%. It is because the RPI is more sensitive than
the CPI at the low RPI inflation rate, so changes in the wider
range at the low RPI inflation rate. Thus the retail business
economic social system identifies an important indicator for
an economic social system health: the value of RPI inflation
rate, which, under normal conditions, ranges from 1% to 5%.
Outside this range (low:Yin condition; high: Yang condition),
economic disease appears. Almost always, when there is
economic disease, the condition of inflation rate is a Yin
condition, little is a Yang condition.
If the RPI rose is too large, it shows that the inflation has
become the economic instability, the central bank will be a
tight monetary policy and fiscal policy paying risk, resulting
in the uncertain economic outlook. As a result, the index of
high rise is often not welcome by the market. In the past 12
months, for example, the RPI roses 2.2%, that means, the cost
of industry making rose by an average of 2.2% more than 12
months ago. When the cost of living increase, your money
value drops. That is to say, a 100-yuan notes, only can buy
$97.70 worth of living goods except for services. Generally
when the RPI inflation rate 1% , it is called plus, is
INFLATION. And when the RPI inflation rate 5% , it is
treated as a SERIOUS plus, is a SERIOUS INFLATION.
In this paper, the rate of inflation can be considered as the
price level rises rather than the currency quantity rises from
the basic concept of RPI. It is because the RPI is the direct
reflection of living standards, although the price level
increase is difficult to be controlled directly.
The RPI is a general parameter linking together the
complexity of relations between subsystem pairs of economic
social system, economic social system itself, the capabilities
for intervention reaction and self-protection of the economic
social system as an economy and mind as a whole, related to
the environment, food, health and personal history, air, water,
earth, climate, season, etc. RPI is as useful in understanding
economic disease as the average is in statistics, or as the
expected value is in probability calculation.
The economic social system as an economy begins to
activate the necessary mechanisms to restore this parameter to
its appropriate range. If the economic social system as an
economy is unable to restore optimal RPI levels, the
economic disease may become chronic and lead to dire
consequences.
Zhang etc [15-23] have started a great interest and admired
works for Traditional Chinese Economics (TCE), where,
through mathematical reasoning, they demonstrate the
presence of incompatibility relations, which are predominant
in daily life, yet absent in traditional Aristotelian Western
logic.
RPI a1 (P1t / P10 ) a2 (P2t / P20 ) ... an (Pnt / Pn0 ),
(1)
where the type of digital and t , n is the number in the
subscript, P* as the representative of retail business goods
prices, an is the weight.
Both the rate of RPI inflation and the RPI are two different
concepts. Calculation method of the rate of RPI inflation
through the calculation of the RPI changes:
The rate of RPI inflation (price rises)
100%,
(2)
base price level
where the price rise level from low to high, to base the level of
prices for base. One of the base period is selected one price
level as a reference, so that you can put the other periods of
price level with a comparison between base level to measure
the current level of inflation.
Note on the type, the rate of RPI inflation is not a price
index, which is not a price rise, but the price index to rise. In
fact, what is said above is just one of the three methods
(CPI,PPI,RPI) of measuring inflation index reduced living
consumption laws, but it is the most commonly used for
studying the retail business economy, in addition to Gross
Domestic Product (GDP) and consumer price index (CPI) or
producer price index (PPI) conversion method.
The RPI is the government measure of inflation one of the
data. Popular speaking, the RPI is the price of the retail goods
on the market growth percentage. As an important indicator,
observe the level of inflation in China, much attention has
been paid to also for such an important indicator, as a new era
of youth, more objective view should be observed. First of all,
let the RPI be met. The RPI is to reflect the retail goods,
related to the retail goods calculated price, retail business
index usually observed inflation as an important indicator.
Levell [1] has found that there is the important relation
between the RPI and the CPI. The RPI plays a key role in the
current price level - base price level
34
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International Journal of Engineering and Technical Research (IJETR)
ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
if 1 0 , 2 ( 0 )2 0.46557123 and 3
Many people as Western persons are beyond all doubt the
Yin Yang Wu Xing theory is superior to the traditional
true-false logic, which does not contemplate incompatibility
relations, which Zhang [19] has expertly explained from a
mathematical standpoint.
The work Zhang [15,16] has started, allows many people
like Western person to think of a true re-foundation of
mathematical language, to make it a better suited tool for the
needs of mankind economic social system and the
environment. Although so doing, Zhang [18] also brings to
light the difficulty of establishing the values of both the
intervention reaction coefficients 1 , 2 and the
A parameter model of a RPI inflation rate in a mathematical
sense based on Yin Yang Wu Xing Theory of TCE is
reintroduced by using the functions ( x) and ( x) of the
RPI inflation rate x described as follows.
Let x (0.08,0.6) be a RPI inflation rate, where the
values 0.08 and 0.6 are the minimum and maximum
acceptable the RPI inflation rate. Denoted the value
0.027047 is the target as the expectation of the RPI inflation
rate. Define a function ( x) of the RPI inflation rate x in
below:
3 as parameters with due
self-protection coefficient
accuracy.
In this paper, the introduction of a parameter such as a RPI
will be suggested, in order to facilitate the understanding and
the calculation of the values of both the intervention reaction
coefficients 1 , 2 and the self-protection coefficient 3 .
( x)
| x 0.027047 |
, x (0.08,0.6)
(0.6 x)( x 0.08)
x 0.027047
(0.6 x)( x 0.08) , 0.6 x 0.027047;
0.027047 x , 0.08 x 0.027047.
(0.6 x)( x 0.08)
This paper ventures to suggest this with all due to respect,
because it be believed that the path Zhang [15,16] has started,
in such an understandable way from the mathematical point of
view, will be very useful for all mankind searching for tools to
understand the mechanisms of economic social system.
The article proceeds as follows. Section 2 contains a
parameter model and basic theorems, in order to explain both
the intervention reaction coefficients 1, 2 and the
(3)
A parameter model is considered as
( x)
self-protection coefficient 3 through the introduction of a
parameter model to study the normal range of a RPI inflation
rate, while the first or second transfer law of economic society
energies is demonstrated in Section 3, proved through the
concept of both relation costs and a relationship analysis of
steady multilateral systems. Furthermore, if the range of the
RPI inflation rate is divided into four parts, for the economy in
every part, the prevention or treatment method of economic
diseases as the treatment principle of TCE is given in Section
4. As an application, the Chinese RPI inflation rate can be
used for the wood( X ) subsystem how to do works based on to
determine both the root-cause and symptoms of the sick
subsystem of steady multilateral systems in Section 5 and
conclusions are drawn in Section 6.
1/ 2
, x (0.08, 0.6).
( x) 1/ 2
(4)
Theorem 2.1 Under model (4), the following statements
hold.
1/ 2
(1) The one that 0 ( x)
1 is equivalent
( x) 1 / 2
to the other that
0 ( x)
1 ( x)
,
2 ( x)
( x) is a monotone decreasing function of x if
x (0.08, 0.027047] or a monotone increasing function
of x if x [0.027047, 0.6) ; and ( x) is a monotone
decreasing function of ( x) if ( x) [0, ) ; and
( x) is a monotone decreasing function of ( x) if
( x) (0,1] .
(2)
If
,
then
1 ( x) 0
where
1 ( x) 1 0
02 ( x) 2 1;
2 ( x)
2 0
( x) 1 ( x) 1 0
0 ( x ) 1;
2 ( x) 2
2 02
( x)
( x)
1 ( x ) 1 0
1.
2
( x)
2 ( x) 3
2 03
( x)
II. PARAMETER MODEL AND BASIC THEOREMS
The concepts and notations in Zhang etc [21] are start and still
uesd.
Let ( 5 1) / 2 0.61803399 be the gold
0 0.5897545123 such that
1 3 and 2 13 and 1 2 3 1 2 3 if
1 0 , 2 02 and 3 0 , namely healthy number.
number.
0 0 .
Thus
1
0 .
2
Denoted
(3)
( x)
Assuming 0 0.68232780, namely unhealthy number. It
is because under a poor self-protection ability, the unhealthy
number 0 can make the poor healthy balance conditions
If
0 ( x) 0
,
1 ( x) 1 0
02 ( x) 2 0;
2 ( x)
2 0
( x) 1 ( x) 1 0
0 ( x) 0;
2 ( x) 2
2 02
( x)
and
then
and
( x)
1 ( x ) 1 0
1.
( x) 2
2 ( x) 3
2 03
hold:
1 3 3 0 / 2 0.34116390,
0 1 ( x) 0 , 2 ( x) 2
where
there
0 c 1 ,
are
3 c ( x)
2
1 3 ( x)(1 c) 0, 2 13 ( x) (1 c) 0 ,
(4)
2 1 3 1 3 ( 0 ) / 2 0.23278561
1 2 3 1 2 3
2
Taking
and
and ( 1 2 3 ) ( x) c ( x)3 1 2 3 1 c ( x)3 ,
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RPI for the Wood Subsystem based on Zangxiang and Jingluo– Mathematical Reasoning of Economic Intervening
Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)
where | ( 1 2 3 ) (1 2 3 ) | 2(1 c) 03 (1 c)0.41024.
1 1 ( x) 0 , 2 ( x)
3 c ( x) where 0 c 1 , there are
(5)
Taking
firstly,
2
(0.01) (0.05) 0.60899 ( x)
and
1 3 ( x)(1 c) 0, 2 13 ( x) (1 c) 0
and ( 1 2 3 ) ( x) c ( x)3 1 2 3 1 c ( x)3 if
1 ( x)
( x)
1 c
0;
( x) 2
2 ( x)3
Secondly,
1 3 ( x)(1 c) ( x) / 2, 2 13 ( x)2 (1 c) ( x)2 / 2
(0.010552) (0.049013) ( x)
and ( 1 2 3 ) ( x) c ( x)3 1 2 3 1 c ( x)3 where
if
| ( 1 2 3 ) (1 2 3 ) | ( 0 )3 0.31767
1 ( x) ( x) 1 in which 1 ( x) ;
0
0c
2 ( x )3 ( x) 2 2
thirdly, 1 3 ( x)(1 c) ( x) / 2, 2 13 ( x)2 (1 c) ( x)2 / 2 and
| ( 1 2 3 ) (1 2 3 ) | 2 03 0.41024
0c
( x)
1 1 ( x)
1
2
2 ( x)3
( x) 2
in
0 ( x) 0 ;
0 ( x) 0 .
where
is
1/ 2
1 (0.027047). #
( x) 1/ 2
range of the CPI as x [0.02,0.05] . But in TCE, from Yin
Yang Wu Xing Theory, Zhang etc [21] have already
determined: 0 1 1 for the normal range of a healthy
if
1 ( x), 2 ( x)2
3 c ( x) where 0 c 1 for an economic society
economy.
Taking
and
which has the capabilities of both intervention reaction and
self-protection. From Corollary 2.1, the condition
is
equivalent
to
that
0 1 1
2
x [0.8789%, 5.2241%] . In other words, in Theory of
TCE, the normal range of the RPI inflation rate is considered
as
,
nearly
to
x [0.8789%, 5.2241%]
if
[ 03 0.20512, 0)
1 1 ( x) ( x)
0c
1 in which . 0 ( x) 0 .
2 2 ( x)3 ( x) 2
(c).The value [( 1 2 3 ) (1 2 3 )] is included in the
x [0.01,0.05] . Of course, little difference of the two
interval
intervals which makes the diagnosis of disease as a result,
there may be no much difference as a suspect. In fact, TCE
uses the rule 0 1 1 from Yin Yang Wu Xing Theory
interval [ 03 0.20512, 0) if 1 c 1 ( x) ( x) 1 in
2
2 ( x)3 ( x) 2
which 0 ( x) 0 . #
instead of the normal range of a RPI inflation rate. The
equivalence of Corollary 2.1 shows that TCE is The scientific
which is from TCM (Traditional Chinese Medicine).
Zhang etc [21] have already determined: an economy is
said a healthy mathematical complex system when the
intervention reaction coefficient 1 satisfies 1 1 0 .
Corollary 2.1 Under model (4), the following statements
hold.
(1) For any 0 d 1 , there is an unique solution
u (0.08, 0.027047) and there is also an unique
In logic and practice, it's reasonable that
solution v (0.027047, 0.6) , such that
1 ( x)
(0.027047) 0 ( x)
(u ) (v) (1 d ) / (2d ),
2 ( x)
1 2 is near to 1
if the input and output in a complex system is balanced, since
a mathematical output subsystem is absolutely necessary
other subsystems of all consumption. In case: 1 2 1 ,
1/ 2
1 (0.027047).
( x) 1/ 2
all the energy for intervening mathematical complex
subsystem can transmit to other mathematical complex
subsystems which have neighboring relations or alternate
relations with the intervening mathematical complex
subsystem. The condition 1 0 can be satisfied when
(2) The condition x [0.01,0.05] is equivalent to each
of the following conditions:
(0.027047) 0 ( x)
(5) The condition x [0.014201, 0.042994]
equivalent to each of the following conditions:
Theorem 2.1 and Corollary 2.1 can be found in Zhang [23].
Remark 1. In west, through experiment or through practice
observation, by using the relation between the RPI and the
CPI, many researchers [1-14] can obtain the normal range of
the RPI inflation rate as x [0.01,0.05] from the normal
1 ( x) 0 .
(b). The value [( 1 2 3 ) (1 2 3 )] is included in the
(u ) (v) d ( x)
is
(0.014201) (0.042994) 0 ( x)
following statements hold.
(a). The absolute value | ( 1 2 3 ) (1 2 3 ) | is
nearly to 0 if 0 c 1 ( x) ( x) 1 in which
( x) 2
(4) The condition x [0.008789, 0.052241]
equivalent to each of the following conditions:
(0.027047) 0 ( x) (0.014201) (0.042994) ( 0 )2 / 2 0.23279,
if
In particular, when c is nearly to 1/2, there are
1 3 ( x)(1 c) ( x) / 2, 2 13 ( x)2 (1 c) ( x)2 / 2 and the
2 ( x )3
1/ 2
1 (0.027047).
( x) 1/ 2
1 ( x)
(0.008789) (0.052241)=02 0.34781,
2 ( x)
1/ 2
(0.008789) (0.052241) 0 ( x)
1 (0.027047).
( x) 1/ 2
finally, 1 3 ( x)(1 c) ( x) / 2, 2 13 ( x)2 (1 c) ( x)2 / 2 and
where
( 1 2 3 ) ( x) c ( x)3 1 2 3 1 c ( x)3
1
1 ( x) ( x)
c
1 in which
2
2 ( x)3 ( x) 2
1 (0.027047).
(0.027047) 0 ( x)
which
| ( 1 2 3 ) (1 2 3 ) | ( 0 )3 0.31767
1/ 2
(3) The condition x [0.010552, 0.049013] is
equivalent to each of the following conditions:
1 ( x)
1
(0.010552) (0.049013)
0.30902,
(0.027047) 0 ( x)
2 ( x)
2
2
( 1 2 3 ) ( x) c ( x)3 1 2 3 1 c ( x)3
( x) 1/ 2
1 ( x)
(0.01) (0.05)= 0.32103,
2 ( x)
2 13 and 3 1 for a mathematical complex
36
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International Journal of Engineering and Technical Research (IJETR)
ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
system since
1 2 1 implies 1 0.61803 0 . In this
x [0.8789%, 5.2241%] , as our theoretical analysis of
case, 2 0.38197 . If this assumptions is set up,
then the intervening principle: “Real disease with a healthy
economy is to rush down his son and virtual disease with a
healthy economy is to fill his mother” based on the Yin Yang
Wu Xing theory in image mathematics [20] , is quite
reasonable. But, in general, the ability of self-protection often
is insufficient for an usual mathematical complex system, i.e.,
3 is small. A common standard is 1 1 1 which
x [0.8789%, 5.2241%] is better than the range
because
x[0.01,0.05]
0 (0.008789) (0.052241)
1 0
and (0.008789) (0.052241)
02 , which
2 0
satisfy the healthy balance conditions 1 3 , 2 13 ,
and (1 2 3 ) ( 1 2 3 ) at the same time if 1 0 ,
2 02 and 3 c0 where c 1 . In other words, the
parameter
or
the
range
1 ( x) 0
x [0.8789%, 5.2241%] is the healthy condition of both
the
2
3
22
2
balance
condition
(1 2 3 ) ( 1 2 3 ) of the loving relationship if
comes
from
the
1 2 1. In other words, there is a principle which all
all near to the golden numbers. It is the idea to consider the
balance number 0 0.68232780 since the poor
3 1 / 2 0 / 2 0.34116390 can make the poor healthy
of
self-protection
ability
balance conditions hold:
1 3 3 0 / 2 0.34116390,
2 1 3 1 3 ( 0 ) 2 / 2 0.23278561
1 2 3 1 2 3
if 1 0 and 2 ( 0 )2 0.46557123 .
x [0.01,0.05] implies the following condition
1 1 ( x) 0.60899 (0.01) (0.05) ;
and the interval x [0.010552, 0.049013] implies the
By Theorem 2.1 and Corollary 2.1, the interval
following condition
1 1 ( x) (0.010552) (0.049013) ;
and the interval x [0.8789%, 5.2241%] implies the
following condition
1 1 ( x) 0 (0.008789) (0.052241) ,
where (0.008789) (0.052241) 1 0
2 0
02
range.
In
fact,
the
range
the killing relationship and the loving relation at the same
time. But neither are the others. The RPI inflation rate must be
precise calculation to keep at least 6 decimal places can
ensure correct because of its sensitivity to the diagnosis of
economic society disease.#
Remark 2. Western Economics is different from TCE
because the TCE has a concept of Chi or Qi as a form of
energy. From the energy concept, that one organ or subsystem
of the economic society is not running properly (or disease,
abnormal), is that the energy deviation from the average of
the organ is too large, the high (real disease) or the low
(virtual disease). But there do not exist these concepts of
both real diseases and virtual diseases in Western science. For
the normal range of a RPI inflation rate of some economic
society as x [0.8789%, 5.2241%] , in TCE, if
x 0.052241 , the economy is considered as a real disease
since the RPI inflation rate is too high; if x 0.008789, the
economy is considered as a virtual disease since the RPI
inflation rate is too low. Thus TCE identifies an important
indicator for an economic society's health: the value of the
RPI inflation rate, which, under normal conditions, ranges
from 0.008789 to 0.052241 . Outside this range (too low:
Yin condition; too high: Yang condition), disease appears.
Almost always absolutely, when there is a virtual disease, the
condition of the RPI inflation rate is a Yin condition; when
there is a real disease, the condition of the RPI inflation rate is
a Yang condition.#
Remark 3. Obviously, when applying the hypothesis of
Theorem 2.1 and Corollary 2.1 to other fields rather than
economic society's health, it is necessary to identify a global
parameter in each field that is able to yield a general Yin or
Yang condition in relation to the average behavior of the
studied phenomenon, and that maintains the equations at a
sufficiently simple level of writing and application. In fact, let
x (min, max) where the values min and max are the
minimum and maximum acceptable the index x . Denoted the
value t0 is the target as the expectation of the index x such
losses are bear in mathematical complex system. Thus the
general
condition
is
often
1 0.61803 3 0.5 2 0.38197 . Interestingly, they are
condition
normal
since
(1 03 ) ( 0 03 ) ;
and the interval x [0.014201, 0.042994] implies the
1 1 ( x) 0 (0.014201) (0.042994) ,
following condition
2
where (0.014201) (0.042994) 1 0 ( 0 )
2 0
2
since ( 0 )3 (1 0 ) .
(t0 ) 1 . In Eqs.(3) and (4), replace
0.08,0.6, 0.027047 by min, max, t0 , respectively.
The last one is the healthy interval in an economic society's
self-protection ability poor conditions. The interval range
than the normal economic society health requirements is too
strict, only the first three interval ranges can be considered as
a normal economic society health. If keep two decimal places,
then first three intervals are the same as x [0.01,0.05] .
that
0 1 ( x) 1
The
equivalent
condition of a
can
be
healthy economy
obtained
as
x [u, v], min u t0 v max, where
This shows that range x [0.01,0.05] is stable. The
interval as the normal range of a RPI inflation rate may be also
appropriate. To conservative estimates, one of the first three
interval ranges with the largest length is used, i.e.,
(u) (v) 0 1 ( x) (1/ 2) / [ ( x) (1/ 2)] (t0 ) 1,
(t0 ) 0 ( x) (1 ( x)) / (2 ( x)) 02 (u ) (v)
(u ) 2 (v) 2 2 ( x) 2 1 ( x) 1.#
37
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v 1 2 3 is greater than or equal to
the evil coefficient e 1 2 3 . Otherwise, the
III. RELATIONS OF STEADY MULTILATERAL SYSTEMS
coefficient
3.1 Energy Changes of a Steady Multilateral System
economy is called unhealthy. For a healthy economy, the
transfer law of the Yang vital or righteousness energy in the
Yin Yang Wu Xing Model is
In order to apply the reasoning to other fields rather than
society's health, Zhang etc [21] have started a steady
multilateral system imitating economic society. A most basic
steady multilateral system is as follows .
Theorem 3.1 [20] For each element x in a steady
multilateral system V with two incompatibility relations,
there exist five equivalence classes below:
Wood ( X ) Fire( X S ) Earth( X K ) Metal ( K X ) Water (S X ) Wood ( X ).
Figure 1 in Theorem 3.1 is the figure of Yin Yang Wu Xing
theory in Ancient China. The steady multilateral system
V with two incompatibility relations is equivalent to the
logic architecture of reasoning model of Yin Yang Wu Xing
theory in Ancient China. What describes the general method
of complex systems can be used in the economic society
complex systems.
By non-authigenic logic of TCE, i.e., a logic which is
similar to a group has nothing to do with the research object
[20], in order to ensure the reproducibility such that the
analysis conclusion can be applicable to any complex system,
a logical analysis model can be chosen which has nothing to
do with the object of study. The Tao model of Yin and Yang is
a generalized one which means that two is basic. But the Tao
model of Yin Yang is simple in which there is not
incompatibility relation. The analysis conclusion of Tao
model of Yin Yang cannot be applied to an incompatibility
relation model. Thus the Yin Yang Wu Xing model with two
incompatibility relations of Theorem 3.1 will be selected as
the logic analysis model in this paper.
On the other hand, the steady multilateral system
(V 2 , 2 ) (V02 V12 , {R02 , R12 }) is called the Tao
X { y V | y ~ x}, X S {y V | x y}, X K {y V | x y},
K X { y V | y x}, S X { y V | y x},
which the five equivalence classes have relations in Figure 1.
#
The Yin Yang Wu Xing model can be written as
follows:Define
V05 X , V15 X S , V25 X K ,V35 K X ,V45 S X ,
corresponding to wood, fire, earth, metal, water, respectively,
where
and
assume
V 5 V05 V15 V25 V35 V45
Vi 5 V j5 , i j (hereinafter
And take 5 {R05 , R15 ,
the same).
, R45 } satisfying
5
Rr5 Vi 5 Vmod
( i r ,5) , r {0,1,
4
i 0
5
, 4}, Ri5 * R 5j Rmod
( i r ,5) ,
where Vi 5 V j5 {( x, y ) : x Vi 5 , y V j5 } is the
Descartes
product
in
set
theory
and
5
5
5
5
Ri * R j {( x, y ) : u V such that ( x, u ) Ri , (u, y ) R j } is
the multiplication relation operation. The relation
multiplication of * is isomorphic to the addition of module
5. Then (V 5 , 5 ) is a steady multilateral system with one
model, denoted simply by V 2 {0,1} , if it satisfies the
following conditions:
2
2
2
2
Rr2 Vi 2 Vmod
( i r ,5) , r {0,1}, Ri * R j Rmod ( i r ,2) ,
1
equivalent relation R05 and two incompatibility relations
and
where
R25 ( R35 ) 1
R15 ( R45 ) 1
5 1
5
( Ri ) {( x, y ) : ( y, x) Ri } is the inverse
i 0
R02 {(0, 0), (1,1)}, R12 {(0,1), (1, 0)}.
The relation multiplication of * is isomorphic to the addition
of module 2. The element 1, or 0 is called a Yang force or
relation operation. The Yin and Yang means the two
incompatibility relations and the Wu Xing means the
collection
of
five
disjoint
classification
of
V 5 V05 V15 V25 V35 V45 . The model is called
Yin
Yang
Wu
Xing
V 5 {0,1, 2, 3, 4} .
model,
denoted
simply
a Yin force respectively. For a healthy economy, the transfer
law of the Tao force in the Tao model is from Yang to Yin.
In TCE, any material can be found, not Yang is Yin. No
matter of Yin and Yang are unable to see, known as dark
matter, or nonphysical. Therefore, the Tao force is often exist
in the physical world. Any steady multilateral system only
force under the action of the Tao, may be to perceive.
Furthermore, the steady multilateral system
by
It can be proved by Theorem 3.2 in Zhang [23] that the
steady multilateral system in Theorem 3.1 is the reasoning
model of Yin Yang Wu Xing in TCE if there is an energy
function (*) satisfying
(V 6 , 6 ) (V16
( X )
d ( X )
(1 2 3 ) (1 c ( x) 2 ) 0;
dX
( X S )
d ( X S )
( 1 2 3 ) ( x)(1 c ( x) 2 ) 0;
dX
( X K )
d ( X K )
( 1 3 ) ( x)(1 c) 0;
dX
( K X )
d ( K X )
( 2 1 3 ) ( x) 2 (1 c) 0;
dX
( S X )
d ( S X )
( 2 1 3 ) ( x) 2 (1 c) 0,
dX
if incraese the energy of X ( ( X ) 0) .
The parameter
V66 ,{R16 ,
, R66 })
is called the Telluric effluvium model, denoted simply by
V 6 {e, (12), (13), (23), (123), (132)} ,
if it satisfies the following conditions:
Rr6
V
6
i 1
i
6
Vi*6r , r {1, 2,
2
Ri2 * R 2
j Ri*r ,
i*r
1 e
2 (12)
2 (12)
2 (12)
1 e
4 (23)
4 (23)
1 e
3 (13)
v 1 2 3 is called the coefficient
1 e
2 (12)
3 (13)
6 (132)
5 (123) 5 (123)
4 (23)
3 (13)
3 (13)
4 (23)
4 (23)
5 (123) 6 (132)
, 6},
5 (123) 6 (132)
5 (123) 6 (132)
3 (13)
4 (23)
2 (12)
3 (13)
1 e
5 (123)
4 (23)
2 (12)
3 (13)
6 (132)
5 (123) 6 (132)
1 e
2 (12)
The
1 e
of the vital or righteousness energy. The parameter
e 1 2 3 is called the coefficient of the evil energy.
6 (132) 6 (132)
An economy is called healthy if the vital or righteousness
number 1, or 2, or 3, is called the tengen ( 元) , the earth
38
3 (13)
4 (23)
2 (12)
1 e
5 (123)
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material (地元) , the people ability (人元) ,respectively. The
set of {1, 2, 3} is called three types of talent or material. It is
with elements, e,(12),(13),(23),(123),(132). The each of elements,
e,(12),(13),(23),(123),(132), is called the primordial energy (元气) ,
essence derived from food (谷气) , defensive energy (卫气) ,
essential substance circulating in the channels and blood
vessels (营气) , genuine energy (真气) , pectoral energy ( 气) ,
respectively. Another name is respectively
shaoyang (e)(少
jueyin ((23)) (厥
), yangming ((12)) (
明), taiyang ((13)) (
), shaoyin ((123)) (少
), taiyin ((132)) (
Yang Wu Xing theory was classified into five equivalence
classes as follows:
wood( X )={industry, PPI (the Producer Price Index) or
RPI (Retail Price Index) , liver, bravery, soul, ribs, sour,
east, spring, birth};
x
xiang-fire( X S )={agriculture, AAF (the total output value of
Agriculture forestry Animal husbandry and Fishery) ,
pericardium, the triple energizer, nerve, the blood, bitter
taste, the south, summer, growth};
earth( X K )={ commerce, CPI (the Consumer Price Index),
),
).
spleen, stomach, willing, meat, sweetness, center, long
summer, combined};
metal( K X )={science-education, GDP (the General Budget
Generally positive or Yang material, they are able to be
perceived, but few can see the material itself, can only use
signs. Therefore, the Yang energy symptoms of the set
M1 {e, (12), (13)} is call the marrow energy (髓) ; The Yin
Revenue), lung, large intestine, boldness, fur, spicy, west,
autumn, accept};
water( S X )={army-economic,GDP (the Gross Domestic
energy of the set M 2 {(123)} is call the blood energy (血) ; The
Yin energy of the set M 3 {(132)} is call the saliva energy
(津) ; The Yin energy of the set M 4 {(23)} is call the essence of
Product), kidney, bladder, ambition, bone, salty, the north,
winter, hiding};
water and grain (水谷精微) .
Growth and conveyance in the six energies e,(12),(13),
(23),(123),(132), known as the six roots 根 ; As the fruit of
these six energies e,(12),(13),(23),(123),(132), known as the six
; Storage of these four energies
fruits
结
M1 , M 2 , M 3 , M 4 , known as the four seas 四海 ; Energy
jun-fire(
j
XS
)={President or Governor, Finance (right of
making money), heart, small intestine, bitter taste, whole
economy, throughout the year, overall growth}.
x
fire( X S )= xiang-fire( X S )
j
jun-fire( X S ).
There is only one of both loving and killing relations between
every two classes. General close is loving, alternate is killing.
In every category of internal, think that they are with an
equivalent relationship, between each two of their elements
there is a force of similar material accumulation of each other.
It is because their pursuit of the goal is the same, i.e., follows
the same “Axiom system”. It can increase the energy of the
class at low cost near to zero if they accumulate together. Any
nature material activity follows the principle of maximizing
so energy or minimizing the cost. In general, the size of the
force of similar material accumulation of each other is smaller
than the size of the loving force or the killing force in a stable
complex system. The stability of any complex system first
needs to maintain the equilibrium of the killing force and the
loving force. The key is the killing force. For a stable complex
system,
if
the
killing
force
is
large,
i.e.,
3 c ( x) becomes larger by Theorems 3.4 and 3.5
exchange of the four kinds of M1 , M 2 , M 3 , M 4 , known as the
four streets 四街 . Of course, for a healthy Economy, the
transfer
law
of
each
of
the
six
energies
e,(12),(13),(23),(123),(132), is from its root (root-causes)
根 to its fruit (symptoms) 结 .
Western Economy is different from TCE because the TCE
has a concept of Chi or Qi (气) as a form of energy of steady
multilateral systems. It is believed that this energy exists in all
things of steady multilateral systems (living and non-living)
including air, water, food and sunlight. Chi is said to be the
unseen vital force that nourishes steady multilateral systems’
Economy and sustains steady multilateral systems’ life. It is
also believed that an individual is born with an original
amount of Chi at the beginning of steady multilateral systems’
life and as a steady multilateral system grows and lives, the
steady multilateral system acquires or attains Chi or energy
from “eating” and “drinking”, from “breathing” the
surrounding “air” and also from living in its environment. The
steady multilateral system having an energy is called the
anatomy system or the first physiological system. And the
first physiological system also affords Chi or energy for the
steady multilateral system's meridian system (Zang
Xiang (藏象) and Jing-Luo (经络) ) which forms a
parasitic system of the steady multilateral system, called the
second physiological system of the steady multilateral
system. The second physiological system of the steady
multilateral system controls the first physiological system of
the steady multilateral system. A steady multilateral system
would become ill or dies if the Chi or energy in the steady
multilateral system is imbalanced or exhausted, which means
that
1 ( x) 0, 2 ( x)2 0 and 3 c ( x) 0 .
For example, in TCE, an economy as the first physiological
system of the steady multilateral system following the Yin
below, which needs positive exercise, then the loving force is
also large such that the force of similar material accumulation
of each other is also large. They can make the complex system
more stable. If the killing force is small, i.e., 3 c ( x)
becomes smaller by Theorems 3.4 and 3.5 below, which
means little exercise, then the loving force is also small such
that the force of similar material accumulation of each other is
also small. They can make the complex system becoming
unstable.The Chi or energy is also called the food hereafter
for simply. In order to get the food, by Attaining Rule in
Zhang [23], the second physiological system must make the
first physiological system intervened, namely exercise. It is
because only by intervention on the first physiological system,
the second physiological system can be to get food.
The second physiological system of the steady multilateral
system controls the first physiological system of the steady
multilateral system, abiding by the following rules.
Definition 3.1 (Zangxiang( 藏象) ) Assume the Yin Yang
Wu Xing model V 5 is implemented by the Tao force of the Tao
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model V 2 . Then the steady multilateral system
V 2 V 5 {(i, j ) | i V 2 , j V 5} is called the Zangxiang or the
Five Zang-organs model of the steady multilateral system.
The Zangxiang model satisfies as follows:
(2,5)
( r , r ')
R
(1,4)
( i ,i ') (0,0)
(2,5)
( i ,i ')
V
V
(2,5)
( mod ( i r ,2), mod ( i ' r ',5))
(2,5)
(2,5)
R((2,5)
i ,i ') * R( j , j ') R( mod ( i j ,2), mod ( i ' j ',5)) .
is called respectively
Zi(0,e)
Chou(0,(23)) Xu(1,(23))
5
(0,1),戊(1,2),
X (1,0),X (0,0),X S (1,1),X S (0,1),X K (1,2),
X K (0,2),K X (1,3),K X (0,3),S X (1,4),S X (0,4).
丑(0,(23))
戌(1,(23))
辰(0,(12))
(1,(12))
(0,(13))
(0,(132))
寅(1,(132))
酉(0,(123))
未(1,(13))
午(1,(123));
x
X (0, e)
X S (1, e)
X (0, (23))
X S (1, (23))
x
X K (0, (12))
K X (1, (12))
S X (0, (13))
j
X S (1, (13))
j
X K (0, (132)) K X (1, (132)) S X (0, (123)) X S (1, (123)).
Chen X K (0,(12)) liking Yang earth, Mao K X (1,(12)) liking Yin wood,
Here, each of the elements: X ,X S ,X K ,K X ,S X is called
Shen S X (0,(13)) liking Yang metal, Wei X Sj (1,(13)) liking Yin earth;
wood, fire,earth,metal,water, respectively, and this is *
Yang, * is Yin.
In TCE, an other name of the Zangxiang system is the ten
Heavenly Stems
干 . It means in the changes of energy
transmission, plays a major role, is under the power of
positive (Yang), although it is invisible, the reason of behind
the sign.
In the ten heavenly stems, Yang is respectively:
Jia X (1,0) liking Yang wood, Bing X S (1,1) liking Ynag fire,
Yin is respectively
Chou X (0,(23)) liking Yin earth, Xu X Sx (1,(23)) liking Yang earth,
Si X K (0,(132)) liking Yin fire, Yin K X (1,(132)) liking Yang wood,
You S X (0,(123)) liking Yin metal, Wu X Sj (1,(123)) liking Yang fire.
Yin is in the inside ( 里) , Yang is in the outside ( 表) . The
relationship between the inside and the outside is the liking
relationship.
In the twelve earthly branches,other names of them are
corresponding to the human body organs
respectively:
Wu X K (1,2) liking Yang earth, Geng K X (1,3) liking Yang metal,
Ren S X (1,4) liking Yang water;
Yin is respectively:
Yi X (0,0) liking Yin wood,Ding X S (0,1) liking Yin fire,
Foot jueyin liver meridian (0,(23)),
Foot shaoyang gallladder meridian (0,e),
Hand jueyin pericardium meridian (1,(23)),
Hand shaoyang triple energizer meridian (1,e),
Foot taiyin spleen meridian (0,(132)),
Foot yangming stomach meridian (0,(12)),
Hand taiyin lung meridian (1,(132)),
Hand yangming large intestine meridian (1,(12)),
Foot shaoyin kidney meridian (0,(123)),
Foot taiyang bladder meridian (0,(13)),
Hand shaoyin heart meridian (1,(123)),
Hand taiyang small intestine meridian (1,(13)).
Ji X K (0,2) liking Yin earth,Xin K X (0,3) liking Yin metal,
Gui S X (0,4) liking Yin water.
Yin is in the inside ( 里) , Yang is in the outside ( 表) . The
relationship between the inside and the outside is the liking
relationship.
The laws of the Zangxiang system or the ten Heavenly
Stems model are summarized in Figure 2.#
Definition 3.2 (Jingluo) Assume the Telluric effluvium
model V 6 is implemented by the Tao force of the Tao model
Or, respectively,
V 2 . Then the steady multilateral system
V V {(i, j ) | i V , j V } is called the Jingluo or the
Six Fu-organs model of the steady multilateral system.
The Jingluo model satisfies as follows:
( i ,i ') (0,1)
Yin(1,(132)) You(0,(123)) Wu(1,(123));
(0,2),庚(1,3),辛(0,3),壬(1,4),癸(0,4),
Si(0,(132))
(君火) respectively, and this is * Yang, * is Yin.
In TCE, an other name of the Jingluo system is the twelve
Earthly Branches 地支 . It means in the changes of
energy transmission, plays a secondly role, is under the
power of negative (Yin), although it is tangible, a sign of
strength can be observed directly.
In the twelve earthly branches, Yang is respectively
Zi X (0,e) liking Yang water, Hai X Sx (1,e) liking Yin water,
also corresponding to the notations in Theorem 3.1
respectively:
(1,6)
Wei(1,(13))
wood, xiang-fire (相火) , earth,metal,water, jun-fire
corresponding to the Chinese words respectively:
R((2,6)
r , r ')
Shen(0,(13))
Here, each of the elements: X ,X Sx ,X K ,K X ,S X , X Sj is called
Jia(1,0),Yi(0,0),Bing(1,1),Ding(0,1),Wu(1,2),
Ji(0,2),Geng(1,3),Xin(0,3),Ren(1,4),Gui(0,4),
2
亥(1,e)
is called respectively
6
子(0,e)
(1, 0), (0, 0), (1,1), (0,1), (1, 2),
(0, 2), (1, 3), (0, 3), (1, 4), (0, 4),
2
Mao(1,(12))
Also corresponding to the notations in Theorem 3.1 as the
five viscera and six entrails respectively:
Each of the elements,
(1,0),乙(0,0),丙(1,1),
Chen(0,(12))
Corresponding to the Chinese words respectively:
, (r , r ') V V ,
2
Hai(1,e)
6
(2,6)
2
6
V((2,6)
i ,i ') V( mod ( i r ,2),i '*r ') , (r , r ') V V ,
(2,6)
(2,6)
R((2,6)
i ,i ') * R( j , j ') R( mod ( i j ,2),i '*j ')) .
足厥
肝经(0,(23)),足少
手厥
心包经(1,(23)),手少
胆经(0,e),
足
脾经(0,(132)),足
手
肺经(1,(132)),手
明大肠经(1,(12)),
足少
肾经(0,(123)),足
膀胱经(0,(13)),
手少
心经(1,(123)),手
小肠经(1,(13)).
三焦经(1,e),
明胃经(0,(12)),
The laws of the Jingluo system or the twelve Earthly
Branches model are summarized in Figure 3.#
Each of the elements,
(0, e)
(1, e)
(0,(12))
In TCE, the Zangxiang and Jingluo models are not the
anatomy systems as the first physiological system
corresponding to their steady multilateral systems, are only
(1,(12)) (0,(13)) (1,(13))
(0,(23)) (1,(23)) (0,(132)) (1,(132)) (0,(123)) (1,(123))
40
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corners, clockwise for growth and officer. Only Yang earth:
Wu of Ten Heavenly Stems is hidden behind Palms on both
sides, clockwise for the growth, crowned, officer, disease and
cemeteries.
All pure Yin: Yi, Ding, Xin, Gui of Ten Heavenly Stems are
hidden behind the sides of the palms, counterclockwise to
raise, crowned and officer. Only Yin earth: Ji of Ten
Heavenly Stems is hidden behind Palms up and down,
counterclockwise for the tomb, crowned and officer. #
Property
3.1
(Ten
Heavenly
Stems
Grow-Strong-Die-Extinction Hidden behind Twelve
Earthly Branches) Ten heavenly stems under a number of
laws, the ten heavenly stems inside the twelve earthly
branches transmission rule can be gotten as follows. The five
Yang heavenly stems: Jia, Bing, Wu, Geng, Ren was born by
Hai, Yin, Yin, Si, Shen clockwise respectively; The five Yin
heavenly stems: Yi, Ding, Ji, Xin, Gui was born by Wu, You,
You, Zi, Mao counterclockwise respectively. Using
mathematical language, all of these laws are summarized in
Tables 1 and 2.#
Property 3.2 (The rationality of the name of Twelve
Earthly Branches) The following notations in Definition 3.2
is reasonable.
them the mathematical logic models. If there are the Yin
Yang Wu Xing model V 5 , the Telluric effluvium model
and the Tao model V 2 , then the Zangxiang model
V 2 V 5 and the Jingluo model V 2 V 6 must be exist in
V
6
logic. So they form a parasitic system of the Yin Yang Wu
Xing system V 5 , namely the second physiological system of
the steady multilateral systems V 2 V 5 and V 2 V 6 .
In TCE, the Zangxiang model cannot be observed directly,
so it is hidden behind the Jingluo system, namely the
Zangxiang ( 藏象) model. Chinese word " 藏" is the
meaning of the hidden behind. Therefore, only the twelve
meridians can be observed. Began to grow the 12 kinds of
energies of each place, referred to as the basic root-causes
本 . To generate the results of the 12 kinds of energies,
referred to as the symptoms 标 . Management of the 12
kinds of energies of each system, known as meridians or the
Jingluo systems. Of course, for a healthy Economy, the
transfer law of each of the 12 kinds of energies is from its
basic root-causes 本 to its symptoms 标 .
In spite of the ten heavenly system cannot be observed, but it
can be observed according to the reasoning of the twelve
earthly branches system.So the logic relation of both the ten
heavenly stems system and the twelve earthly branches system
must be known.
Definition 3.3 (Logic Relation of Ten Heavenly Stems
Hidden behind Twelve Earthly Branches ) Logic Relation
of Ten Heavenly Stems Hidden behind Twelve Earthly
Branches must follow the relationship between the growth of
the ten heavenly elements.
For the ten heavenly stems, although they are hidden in the
12 earthly branches, but the existing way is not completely
the same. They each have 12 kinds of growth status:
rowing (长生), bathing (沐浴), crowned (冠带), officer (临
X
(0, e)
X
(0, (23))
x
j
XS
XK
KX
SX
XS
(1, e)
(0, (12))
(1, (12))
(0, (13))
(1, (13))
x
XS
XK
KX
SX
XS
(1, (23))
(0, (132))
(1, (132))
(0, (123))
(1, (123)).
j
It is with the correct meaning of the Yin Yang Wu Xing Model
in Theorem 3.1.#
Energy concept is an important concept in Physics. Zhang
etc [21] introduce this concept to the steady multilateral
systems or image mathematics [20] and uses these concepts to
deal with the steady multilateral system diseases
(mathematical index too high or too low). In mathematics, a
steady multilateral system is said to have Energy (or
Dynamic) if there is a non-negative function (*) which
makes every subsystem meaningful of the steady multilateral
system. Similarly to Zhang etc [21], unless stated otherwise,
any equivalence relation is the liking relation, any
neighboring relation is the loving relation, and any alternate
relation is the killing relationship.
Suppose that V is a steady multilateral system having an
energy, then V in the steady multilateral system during a
normal operation, its energy function for any subsystem of the
steady multilateral system has an average (or expected value
in Statistics), this state is called as normal when the energy
function is nearly to the average. Normal state is the better
state.
That a subsystem of the steady multilateral system is not
running properly (or disease, abnormal) is that the energy
deviation from the average of the subsystems is too large, the
high (real disease) or the low (virtual disease).
In addition to study these real or virtual diseases, TCE is
often not only considered the energy change (Attaining or
Affording) of each element in the corresponding group, but
also studied a kind of relation costs. There are three kinds of
relationship between each two elements of the Zangxiang
system or the Jingluo system, namely the merged,
synthesized and combined.
The merged relationship between two the same elements x
and y is the joining operation in a set, i.e., {x} { y} {z}.
),
emperor (帝旺),decay (衰退), disease (得病), death (死亡),
tomb (墓), extinction (绝), child (胎), raise (
).
According to the names of Yin and Yang attribute is different,
their growth way also each are not identical. Yang heavenly
stems energy transmission is energy transmitted along the
twelve earthly branches, and Yin heavenly stems energy
transfer is against the twelve earthly branches transmission
of energy transmitted sequence.
The following ten heavenly stems are hidden behind the
twelve earthly branches as follows:
Zi(0, e) {Gui(0,4)}, liking Yang water;
Chou(0, (23)) {Ji(0, 2), Gui(0,4),Xin(0,3)}, liking Yin earth;
Yin(1, (132)) {Jia(1,0),Bing(1,1),Wu(1,2)}, liking Yang wood;
Mao(1, (12)) {Yi(0, 0)}, liking Yin wood;
Chen (0, (12)) {Yi(0, 0), Wu(1,2), Gui(0,4)}, liking Yang earth;
Si(0, (132)) {Bing(1,1), Geng(1, 3), Wu(1,2)}, liking Yin fire;
Wu(1, (123)) {Ding(0,1), Ji(0, 2)}, liking Yang fire;
Wei(1, (13)) {Ding(0,1), Ji(0, 2), Yi(0, 0)}, liking Yin earth;
Shen(0, (13)) {Geng(1, 3), Ren(1,4),Wu(1,2)}, liking Yang metal;
You(0, (123)) {Xin(0, 3)}, liking Yin metal;
Xu(1, (23)) {Xin(0, 3), Wu(1,2), Ding(0,1)}, liking Yang earth;
Hai(1, e) {Ren(1,4), Jia(1,0)}, liking Yin water.
All Logic Relations of Ten Heavenly Stems Hidden behind
Twelve Earthly Branches are summarized in Figure 4.
See Figure 4. and Tables 1 and 2, all pure Yang: Jia, Bing,
Geng,Ren of Ten Heavenly Stems are hidden behind Palms
41
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RPI for the Wood Subsystem based on Zangxiang and Jingluo– Mathematical Reasoning of Economic Intervening
Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)
The element z is the result of two the same elements x and
y merging. The purpose of merging is in order to get the large
result energy of element z through inputting two the same
elements x and y .
The synthesized relationship between two elements x and
y is the multiply operation in the corresponding group system
X , X S , X K , K X , S X are the same as those defined in
Theorem 3.1. Then the relation diseases can be decomposed
into the following classes:
Definition 3.4 ( merged 合并 , synthesized
合 或者合成 and combined 合 ) Suppose that both
x and y are two elements of the Zangxiang system or the
Jingluo system.
The merged relationship between two the same elements x
and y is the joining operation in a set, i.e., {x} { y} {z}.
The element z is the result of two the same elements x and
y merging. The purpose of merging is in order to get the
large result energy of element z through inputting two the
same elements x and y .
The synthesized relationship between two elements x and
y is the multiply operation in the corresponding group
with a multiplication *, i.e., x * y z. The element z is the
result of two elements x and y synthesized. The purpose of
synthesized is in order to get the result energy of element z
through inputting two elements x and y .
The combined relationship between two elements x and
y is the division operation in the corresponding group system
with a multiplication *, i.e., x1 * y z. The element z is the
cost of two elements x and y combined. The purpose of
combined is in order to maintain or strengthen the relation
between x and y through inputting the cost element z .
In general, a relationship cost is low if the cost element in the
corresponding group is easy to get. A relationship cost is high,
on the other hand, if the cost element in the corresponding is
hard to come by.
In this case, in general, the RPI inflation
which
means
rate
x [0.8789%, 5.2241%]
system with a multiplication *, i.e., x * y z. The element z is
the result of two elements x and y synthesized. The purpose
of synthesized is in order to get the result energy of element z
through inputting two elements x and y .
The combined relationship between two elements x and
y is the division operation in the corresponding group
0 1 ( x) 1. This relation cost is low because this
system with a multiplication *, i.e., x1 * y z. The element z
is the cost of two elements x and y combined. The purpose
of combined is in order to maintain or strengthen the relation
between x and y through inputting the cost element z .#
Property 3.3 Suppose that both x and y are two
elements of the Zangxiang system. Then the following
statements are true.
relation cost element is easy to get. The low relation cost can
make the intervention increasing the sizes of both the
intervention reaction coefficients 1 , 2 and the
self-protection coefficient
3 .
x [0.8789%, 5.2241%] which means 0 1 ( x) 0 .
But
in
general,
the
RPI
inflation
rate
This relation cost is high because the relation cost element is
hard to come by. The high relation cost can make the sizes of
both the intervention reaction coefficients 1 , 2 and the
self-protection coefficient
3
(1) The lowest cost element is
Yi(0, 0)=乙(0, 0)=X (0, 0) .
The second low cost is
decreasing response to
Jia(1, 0)=
intervention.
The purpose of intervention is to make the steady
multilateral system return to normal state. The method of
intervention is to increase or decrease the energy of a
subsystem.
What kind of intervening should follow the principle to treat
it? Western mathematics emphasizes directly mathematical
treatments on a disease subsystem after the disease of
subsystem has occurred, but the indirect intervening of
oriental mathematics is required before the disease of
subsystem will occur. In mathematics, which is more
reasonable?
Based on this idea, many issues are worth further discussion.
For example, if an intervening has been implemented to a
disease subsystem before the disease of subsystem will occur,
what relation disease will be low cost which does not need to
be intervened? what relation disease will be high cost which
needs to be intervened?
(1, 0)=X + (1, 0) .
The third low cost is
Ding(0,1)= (0,1)=X S (0,1) [ S X (0, 4)]1 =[癸(0, 4)]1 =[Gui(0, 4)]1 . The
fourth low cost is
Bing(1,1)=丙(1,1)=X S+ (1,1) [ S X+ (1, 4)]1 =[壬(1, 4)]1 =[ Re n(1, 4)]1 .
(
2) The highest cost element
Wu(1, 2)=戊(1, 2)=X S+ (1, 2) [ X K+ (1,3)]1 =[庚(1,3)]1 =[Geng(1,3)]1
.
The second high cost is
Ji(0, 2)=
(0, 2)=X S (0, 2) [ X K (0, 3)]1 =[辛(0, 3)]1 =[Xin(0, 3)]1 .
(3) The synthesized relationships of the ten Heavenly Stems
at zero costs are as follows:
The ten heavenly stems synthesized (十
Jia(1, 0)*Ji(0,2)=Wu(1,2) Yang earth (
)
干合
土),
Yi(0, 0)*Geng(1,3)=Geng(1,3) Yang metal (乙庚合
合
Bing(1,1)*Geng(0,3)=Ren(1,4) Yang water (丙辛合
Ding(0,1)*Ren(1,4)=Jia(1,0) Yang wood (
Wu(1, 2)*Gui(0,4)=Bing(1,1) Yang fire (戊癸合
3.2 Kinds of Relationship costs of Steady Multilateral
Systems
For a steady multilateral system V with two incompatibility
relations,
suppose
that
the
subsystems
壬合
金),
水),
木),
火).
(4) The combined relationships of the ten Heavenly Stems
at low costs are as follows:
42
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International Journal of Engineering and Technical Research (IJETR)
ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
Jia(1,0) and Yi(0,0) like Jia(1,0) and Yi(0,0) (
(Jia(1, 0)) *Jia(1,0) =Yi(0,0) Yin wood (
乙同类
1
The combined relationships of the ten Heavenly Stems are at
highest costs as follows:
Jia(1,0) and Yi(0,0) kill Wu(1,2) and Ji(0,2) ( 乙克戊 )
乙)
比肩) ,
(Jia(1, 0)) *Yi(0,0)=Jia(1,0) Yang wood (
1
(Jia(1, 0)) 1 *Wu(1,2)=Ji(0,2) Yin earth (
乙劫财) ,
(Yi(0, 0)) 1 *Jia(1,0)=Jia(1,0) Yang wood ( 乙
(Jia(1, 0)) *Ji(0,2)=Wu(1,2) Yang earth (
劫财) ,
(Yi(0, 0)) 1 *Yi(0,0)=Yi(0,0) Yin wood ( 乙乙比肩) ;
Bing(1,1) and Ding(0,1) like Bing(1,1) and Ding(0,1) (丙 同类丙 )
1
(Yi(0, 0)) *Wu(1,2)=Wu(1,2) Yang earth ( 乙戊正相克) ,
(Yi(0, 0)) 1 *Ji(0,2)=Ji(0,2) Yin earth ( 乙
(Bing(1,1)) *Bing(1,1)=Yi(0,0) Yin wood (丙丙比肩),
(Bing(1,1)) 1 *Ding(0,1)=Jia(1,0) Yang wood (丙 劫财),
(Wu(1, 2)) *Ren(1,4)=Xin(0,3) Yin metal (戊壬偏相克),
(Wu(1, 2)) 1 *Gui(0,4)=Geng(1,3) Yin metal (戊癸正相克),
比肩;)
(Ding(0,1)) *Ding(0,1)=Yi(0,0) Yin wood (
Wu(1, 2) and Ji(0,2) like Wu(1, 2) and Ji(0,2) ( 戊 同类戊
(Ji(0, 2)) 1 *Ren(1,4)=Geng(1,3) Yin metal (
)
(Wu(1, 2)) *Wu(1,2)=Yi(0,0) Yin wood (戊戊比肩),
1
(Ji(0, 2)) *Gui(0,4)=Xin(0,3) Yin metal (
1
劫财),
壬正相克),
癸偏相克);
Ren(1,4) and Gui(0,4) kill Bing(1,1) and Ding(0,1)( 壬癸克丙 )
(Ren(1, 4)) 1 *Bing(1,1)=Ji(0,2) Yin earth (壬丙偏相克),
戊劫财),
(Ji(0, 2)) *Ji(0,2)=Yi(0,0) Yin wood (
克壬癸)
1
1
1
偏相克) ;
Wu(1, 2) and Ji(0,2) kill Ren(1,4) and Gui(0,4) ( 戊
(Ding(0,1)) 1 *Bing(1,1)=Jia(1,0) Yang wood ( 丙劫财),
(Ji(0, 2)) 1 *Wu(1,2)=Jia(1,0) Yang wood (
正相克) ,
1
1
(Wu(1, 2)) 1 *Ji(0,2)=Jia(1,0) Yang wood (戊
戊偏相克) ,
Geng(1,3) and Xin(0,3) kill Geng(1,3) and Xin(0,3) ( 庚辛同类庚辛)
(Ren(1, 4)) 1 *Ding(0,1)=Wu(1,2) Yin earth (壬 正相克),
(Geng(1, 3)) 1 *Xin(0,3)=Jia(1,0) Yang wood ( 庚辛劫财) ,
(Gui(0, 4)) 1 *Ding(0,1)=Ji(0,2) Yin earth (癸 偏相克);
比肩);
(Gui(0, 4)) 1 *Bing(1,1)=Wu(1,2) Yin earth (癸丙正相克),
(Geng(1, 3)) 1 *Geng(1,3)=Yi(0,0) Yin wood ( 庚庚比肩) ,
(Xin(0, 3)) 1 *Geng(1,3)=Jia(1,0) Yang wood ( 辛庚劫财) ,
Bing(1,1) and Ding(0,1) kill Geng(1,3) and Xin(0,3)( 丙 克庚辛)
(Xin(0, 3)) *Xin(0,3)=Yi(0,0) Yin wood ( 辛辛比肩);
(Bing(1,1)) 1 *Geng(1,3)=Ji(0,2) Yin earth (丙庚偏相克),
Ren(1,4) and Gui(0,4) like Ren(1,4) and Gui(0,4) (壬癸同类壬癸)
(Bing(1,1)) 1 *Xin(0,3)=Wu(1,2) Yang earth (丙辛正相克),
(Ren(1, 4)) 1 *Gui(0,4)=Jia(1,0) Yang wood (壬癸劫财),
(Ding(0,1)) 1 *Geng(1,3)=Wu(1,2) Yang earth ( 庚正相克),
(Ding(0,1)) 1 *Xin(0,3)=Ji(0,2) Yin earth ( 辛偏相克);
(Gui(0, 4)) *Gui(0,4)=Yi(0,0) Yin wood (癸癸比肩).
Geng(1,3) and Xin(0,3) kill Jia(1,0) and Yi(0,0) ( 庚辛克
1
(Ren(1, 4)) 1 *Ren(1,4)=Yi(0,0) Yin wood (壬壬比肩),
(Gui(0, 4)) 1 *Ren(1,4)=Jia(1,0) Yang wood (癸壬劫财),
(Geng(1, 3)) *Jia(1,0)=Ji(0,2) Yin earth ( 庚
1
1
Jia(1,0) and Yi(0,0) love Bing(1,1) and Ding(0,1) (
(Jia(1, 0)) 1 *Bing(1,1) =Ding(0,1) Yin fire (
(Jia(1, 0)) *Ding(0,1)=Bing(1,1) Yang fire (
1
(Xin(0, 3)) 1 *Jia(1,0)=Wu(1,2) Yang earth ( 辛
偏 丙) ,
(Yi(0, 0)) *Bing(1,1)=Bing(1,1) Yang fire ( 乙正 丙) ,
(Yi(0, 0)) 1 *Ding(0,1)=Ding(0,1) Yin fire ( 乙偏
正相克) ,
(Xin(0, 3)) *Yi(0,0)=Ji(0,2) Yin earth ( 辛乙偏相克) .
1
),
正
偏相克) ,
(Geng(1, 3)) *Yi(0,0)=Wu(1,2) Yang earth ( 庚乙正相克) ,
1
乙生丙 )
1
乙)
The ten heavenly stems rushing (十
干相冲)
(Jia(1, 0)) *Geng(1,3)=Xin(0,3) Yin metal (
1
);
庚相冲) ,
Bing(1,1) and Ding(0,1) love Wu(1,2) and Ji(0,2) (丙 生戊 )
(Yi(0, 0)) *Xin(0,3)=Xin(0,3) Yin metal (乙辛相冲),
(Bing(1,1)) *Ji(0,2)=Bing(1,1) Yang fire (丙正
(Gui(0, 4)) 1 *Ding(0,1)=Ji(0,2 Yin earth (癸
1
(Bing(1,1)) 1 *Wu(1,2)=Ding(0,1) Yin fire (丙偏 戊),
1
(Re n(1, 4)) 1 *Bing(1,1)=Ji(0,2) Yin earth (壬丙相冲),
),
(Ding(0,1)) *Wu(1,2)=Bing(1,1) Yang fire ( 正 戊),
1
(Ding(0,1)) 1 *Ji(0,2)=Ding(0,1) Yin fire ( 偏
);
Wu(1, 2) and Ji(0,2) love Geng(1, 3) and Xin(0,3) ( 戊
(Wu(1, 2)) 1 *Geng(1,3)=Ding(0,1) Yin fire (戊偏
(Wu(1, 2)) 1 *Xin(0,3)=Bing(1,1) Yang fire (戊正
(Ji(0, 2)) 1 *Geng(1,3)=Bing(1,1) Yang fire (
(Ji(0, 2)) 1 *Xin(0,3)=Ding(0,1) Yin fire (
(Wu(1, 2)) *Ji(0,2)=Jia(1,0) Yang wood (戊
1
正
偏
庚),
辛),
庚),
辛);
(Geng(1, 3)) *Gui(0,4)=Bing(1,1) Yang fire ( 庚正
壬) ,
(Xin(0, 3)) *Gui(0,4)=Ding(0,1) Yin fire ( 辛正
壬) ,
1
(Xin(0, 3)) 1 *Ren(1,4)=Bing(1,1) Yang fire ( 辛正
1
You(0, (132))= (0, (132))=K X (0, (132))=
x
S
Wu(0, (123))=酉(0, (123))=X (0, (123))=
癸);
),
(Ren(1, 4)) 1 *Yi(0,0)=Bing(1,1) Yang fire (壬正 乙),
(Gui(0, 4)) 1 *Jia(1,0)=Bing(1,1) Yang fire (癸正
营气 liver (肝) ,
Chou(0, (23))=丑(0, (23))=X (0, (23))=
癸) ,
Ren(1,4) and Gui(0,4) love Jia(1,0) and Yi(0,0) (壬癸生 乙)
(Ren(1, 4)) 1 *Jia(1,0)=Ding(0,1) Yin fire (壬偏
无冲).
All relation laws of the Zangxiang system or the ten
Heavenly Stems model are summarized in Figure 2. It means
that both the liking relation and the loving relation have the
low cost, but the killing relation has high cost. #
Property 3.4 Suppose that both x and y are two
elements of the Jingluo system.
Then the following statements are true.
(1)The lowest cost elements are as follows:
生庚辛)
Geng(1,3) and Xin(0,3) love Ren(1,4) and Gui(0,4) ( 庚辛生壬癸)
(Geng(1, 3)) 1 *Ren(1,4)=Ding(0,1) Yin fire ( 庚偏
相冲),
气 spleen (脾) ,
真气 kidney (肾) .
The second low cost elements are as follows:
Zi(0, e)=子(0, e)=X (0, e)=
(5)
元气 gallbladder (胆) ,
Chen(0, (12))=辰(0, (12))=X K (0, (12))=
Shen(0, (13))= (0, (13))=S X (0, (13))=
),
(Gui(0, 4)) 1 *Yi(0,0)=Ding(0,1) Yin fire (癸偏 乙).
谷气 stomach (胃),
卫气 bladder (膀胱) .
(2)The highest relation cost elements are as follows
43
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Hai(1, e)=亥(1, e)=X Sj (1, e)= 元气 triple energizer (三焦) ,
(Yin(1,(132))) 1 *Wu(1,(123))=Si(0,(132)),
Wei(1, (13))=未(1, (13))=S X (1, (13))= 卫气 small intestine (小肠) .
(Xu(1,(23))) 1 *Yin(1,(132))=Shen(0,(13)),
Mao(1, (12))= (1, (12))=K X (1, (12))= 谷气 large intestine (大肠),
(Wu(1,(123))) 1 *Xu(1,(23))=Chen(0,(12)),
The second high cost elements are as follows
Xu(1, (23))=戌(1, (23))=X S (1, (23))=
营气 pericardium (心包) ,
Yin(1, (132))=寅(1, (132))=K X (1, (132))=
Wu(1, (123))=午(1, (123))=X S (1, (123))=
气 lung (肺) ,
真气 heart (心).
(You(0,(123))) 1 *Chou(0,(23))=Chen(0,(12)),
(Chou(0,(23))) 1 *Si(0,(132))=Shen(0,(13)),
Mao(0,(12))*You(0,(123))=Shen(0,(13))
Yang metal (
酉丑 合金局) .
Number six combined (地支六
{Yin(1, (132)),Mao(1, (12)),Chen(0,(12))}
{Yang wood, Yang wood, Yang erath }
1
辰三会东方木) ,
合)
[Zi(0, e)] *Chou(0,(23))=Chou(0,(23))
Yin earth ( 子丑
{Si(0,(132)),Wu(1,(123)),Wei(1,(13))}
{Yin fire, Yang fire, Yin earth}
合土) ,
1
[Yin(1, (132))] *Hai(1,e)=You(0,(123))
[You(0,(123))]1*Hai(1,e)=Yin(1,(132))
辰三会南方火) ,
Yang wood ( 寅亥
{Shen(0,(13)),You(0,(123)),Xu(1,(23))}
{Yang metal, Yin metal, Yang earth}
(寅
合火局) ;
(Si(0,(132))) *You(0,(123))=Si(0,(132)),
Number three rendezvous (地支三会局)
(寅
Yang fire ( 寅午戌
1
(3) The merged and synthesized relationships of the twelve
Earthly Branches at zero costs are as follows:
(寅
Xu(1,(23))*Chen(0,(12))=Wu(1,(123))
1
合木) ,
[Mao(1, (12))] *Xu(1,(23))=Si(0,(132))
Yin fire (
辰三会西方金) ,
{Hai(1, e ),Zi (0, e),Chou(0,(23))}
1
戌
合火) ,
{Yin water, Yang water, Yin earth}
[Chen(0,(12))] *You(0, (123))=Shen(0,(13))
( 亥子丑三会
方水) .
Number six synthesized (地支六合
[Si(0,
(132))]1 *Shen(0, (13))=Chen(0,(12))
Yang metal ( 辰酉
)
[Chen(0,(12))]1 *Chen(0,(12))=Zi(0, e)
Zi(0, e)*Chou(0,(23))=Chou(0,(23))=丑(0,(23))
Yin earth( 子丑合
Yang water (
土) ,
Yin(1, (132))*Hai(1,e)=Si(0,(132))
[Wu(1,(123))] *Wei(1, (13))=Chou(0,(23))
Yin earth ( 午未
Yang wood( 寅亥合 木) ,
Mao(1, (12))*Xu(1,(23))=Si(0,(132))
戌合
(Zi(0, e)) 1 *Wei(1,(13))=Wei(1,(13)) Yin earth (子未相害),
Chen(0,(12))*You(0, (123))=Shen(0,(13))
(Chou(0, (23))) 1 *Wu(1,(123))=Mao(1,(12)) Yin wood (丑午相害),
金) ,
(Yin(1, (132))) 1 *Si(0,(132))=Hai(1,e) Yin water (寅 相害),
Si(0,
(132))*Shen(0, (13))=Chou(0,(23))
(Mao(1, (12))) 1 *Chen(0,(12))=Hai(1,e) Yin water ( 辰相害),
Chou(0,(23))*Chou(0,(23))=Zi(0, e)
Yang water (
合
合土) .
(5)The combined relationships of the twelve Earthly
Branches
at
high
costs
are
as
follows:
Number six evi l s 地支六害
火) ,
Yang matal ( 辰酉合
合水) ,
1
Si(0,(132))*Hai(1,e)=Yin(1,(132))
Yin fire (
合金) ,
(Shen(0, (13))) 1 *Hai(1,e)=Wei(1,(13)) Yin earth ( 亥相害),
水) ,
(You(0, (123))) 1 *Xu(1,(23))=Mao(1,(12)) Yin wood (酉戌相害).
Wu(1,(123))*Wei(1, (13))=Chen(0,(12))
土) .
Yang earth ( 未午合
(4)The combined relationships of the twelve Earthly
Branches at low costs are as follows:
Number six combined (地支三合局)
(Zi(0, e)) 1 *Wu(1,(123))=Wu(1,(123)) Yang fire(子午相冲),
(Zi(0,e)) 1 *Chen(0,(12))=Chen(0,(12)),
(Mao(1, (12))) 1 *You(0,(123))=Wei(1,(13)) Yin earth ( 酉相冲),
Number six r ushed 地支六冲
(Chou(0, (23))) 1 *Wei(1,(13))=Yin(1,(132)) Yang wood(丑未相冲),
(Yin(1, (132))) 1 *Shen(0,(13))=Mao(1,(12)) Yin wood(寅 相冲),
1
(Shen(0,
(13))) *Zi(0,e)=Shen(0,(13)),
(Shen(0, (13))) 1 *Xu(1,(23))=Wu(1,(123)) Yang fire ( 戌相冲),
(Chen(0,(12))) 1 *Shen(0, (13)) =You(0,(123)),
(Si(0, (132))) 1 *Hai(1,e)=Wu(1,(123)) Yang fire ( 亥相冲).
Chen(0,(12))*You(0,(123))*Shen(0,(13))=Zi(0,e)
Yang water (
1
子辰
Number three puni shed 地支三刑
合水局) ;
(a). Three-elements punishment (三元刑, 环刑)
(Hai(1,e)) *Mao(1,(12))=Chen(0,(12)),
(Mao(1,(12))) 1 *Wei(1,(13))=You(0,(123)),
(No punishment of kindness (无恩之刑))
Shen(0,(13))*Chen(0,(12))*Hai(1,e)=Yin(1,(132))
(Si(0,(132))) 1*Shen(0,(13))=Chen(0,(12)) Yang earth (
(Yin(1, (132))) 1 *Si(0,(132))=Hai(1,e) Yin water ( 寅刑 ) ,
(Wei(1,(13))) 1 *Hai(1,e)=Shen(0,(13)),
Yang wood (亥
未
(Shen(0,(13))) *Yin(1, (132))=Mao(1,(12)) Yin wood (
1
合木局) ;
44
刑 ),
刑寅) .
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The transfer law of each of the 10 kinds of energy in the the
Zangxiang system or the ten Heavenly Stems model is from
its root-causes to its symptoms. Furthermore, for the healthy
economy, the transfer law of the Yang vital or righteousness
energies of the ten heavenly stems is transferring along the
loving or liking order of the ten heavenly stems as follows:
(b). Three-elements punishment (三元刑, 环刑)
(The power of punishment (持势之刑))
(Chou(0, (23))) 1 *Xu(1,(23))=Hai(1,e) Yin water ( 丑刑戌) ,
(Xu(1,(23))) 1*Wei(1,(13))=You(0,(132)) Yin metal (戌刑未),
(Wei(1,(13))) 1*Chou(0,(23))=Wu(1,(123)) Yang fire ( 未刑丑) .
real Jia(1,0)X
(Zi(0,e)) 1Mao(1,(12)) Mao(1,(12)) Yin wood ( 子刑
(d). One-element punishment (
less
real Bing(1,1)X S real Ding(0,1)X S
less
(A punishment of rude (无礼之刑))
(Mao(1,(12))) 1Zi(0,e) Mao(1,(12)) Yin wood (
real Yi(0,0)X
less
(c). Two-elements punishment (二元刑, 对刑)
less
virtual Wu(1,2)X K
virtual Ji(0,2)X K
rare
),
less
virtual Geng(1,3)K X
virtual Xin(0,3)K X
more
刑子) .
less
real Ren(1,4)S X
real Gui(0,4)S X
rare
元刑, 自刑)
less
(A punishment of things very (物极之刑))
real Jia(1,0)X
(Wu(1,(123))) 1Wu(1,(123)) Zi(0,e) Yang water( 午刑午) ,
And the transfer law of the Yin vital or righteousness energies
of the ten heavenly stems is transferring against the loving or
liking order of the ten heavenly stems as follows:
less
(Chen(0,(12))) 1Chen(0,(12)) Zi(0,e) Yang water ( 辰刑辰) ,
(You(0,(123))) 1You(0,(123)) Zi(0,e) Yang water( 酉刑酉) ,
(Hai(1,e)) Hai(1,e) Zi(0,e) Yang water( 亥刑亥) .
All relation laws of the Jingluo system or the twelve Earthly
Branches model are summarized in Figure 3. It means that
the Your palm in Figure 3, all transverse relationship with
low cost, but all vertical relationship with high cost. On the
other hand, in the three types: {Yin,Mao}, {Wu,Wei}, {Xu,Hai}
or the three types:{Chen,Si},{Shen,You},{Zi,Shou} for the
vertices of the triangle respectively, the relationship between
the cost is low. Otherwise, the relationship between the cost is
high.#
3.3 First Transfer Laws of Economic Society Energies of
Steady Multilateral Systems with a healthy Economy
Suppose that a steady multilateral system V having energy
function (*) is normal or healthy. Let x be the RPI
1 ( x), 2 ( x) 2 ,
and 3 c ( x) where 0 c 1 and ( x) is
inflation rate of V . Taking
defined in Eqs.(3) and (4). The healthy economy means that
the conditions 0 ( x) 1 and 0 c 1 hold. By
condition 1 +2 3 1 2 3 . That c 0 implies
that the economy is without the ability of self-protection, i.e.,
3 c ( x) 0 . Of course, the economy cannot be
healthy. It is because for any x 2.7047%, when
c 0 , there are
1 +2 3 = ( x) c ( x)3 ( x) 1 1 c ( x)3 1 2 3 ,
that
the
healthy
virtual Yi(0,0)X
less
.
virtual Jia(1,0)X
less
virtual Gui(0,4) S X virtual Ren(1,4) S X
less
less
real Xin(0,3)K X real Geng(1,3) K X
rare
less
real Ji(0,2)X K real Wu(1,2)X K
more
less
virtual Ding(0,1)X S virtual Bing(1,1)X S
rare
less
virtual Yi(0,0)X virtual Jia(1,0)X
less
less
less
.
All transfer laws of the Zangxiang system or the ten
Heavenly Stems model for a healthy economy 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 transfer law of the twelve Earthly
Branches with a healthy economy) Let the RPI inflation
rate x [0.8789%, 5.2241%] which is equivalent to the
conditions 0 1 ( x) 1 and 0 c 1 .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 economy, 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:
Corollary 2.1, it is equivalent to the normal range
or
the
healthy
x [0.8789%, 5.2241%]
1 +2 3 1 2 3 cannot hold.
less
less
1
such
real Yi(0,0)X
virtual Mao
real Zi
K X (1,(12))
X
less
condition
S X (0,(13))
rare
real You
conditions 0 1 ( x) 1 and 0 c 1 .
S X (0,(123))
45
less
real Xu
X
XS
(0,(23))
x
(1,(23))
j
X S (1,(13))
X K (0,(12))
less
less
less
real Wu
X S (1,(123))
j
rare
virtual Chen
real Wei
less
rare
(1,e)
real Chou
more
real Shen
XS
less
K X (1,(132))
x
less
less
virtual Yin
By using Corollary 2.1 and Theorems 2.1 and 3.1, the
following Theorems 3.2 and 3.3 can be obtained as the
transfer law of occurrence and change of economic society
energies with a healthy economy.
Theorem 3.2 (The transfer law of the ten Heavenly
Stems with a healthy economy) Let the RPI inflation rate
x [0.8789%, 5.2241%] which is equivalent to the
real Hai
(0,e)
rare
virtual Si
X K (0,(132))
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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:
real Mao
j
X K (0,(12))
less
real Yin
less
virtual Shen
virtual Si X K
virtual Chen X K
less
less
x
less
rare
S X (0,(123)
less
x
X S (1,(23))
virtual Zi X
X (0,(23)) .
less
less
real Chen X K
real Si X K
rare
rare
rare
less
to
For a Yin energy of X and the Zangxiang system or the
ten Heavenly Stems model for a healthy economy , the first
transfer law is transferring against the loving or liking order
of the ten heavenly stems as follows:
real K X
real K X
K
virtual X S virtual X S
less
less
virtual X
less
less
by
X
X
the
energy
of
X begins with the Yang energy of
real Mao K X
less
. This is in Zi to Yin (11
value (1 2 3 ) (1 c ( x)3 ) tending to be small at the
same time. In other words, the way can make all of both
( x) and c tending to be large. It is because the running
condition of the loving or liking relationship
( 1 2 3 ) (1 2 3 ) is the stronger the use, which dues
less
virtual X
X
for a healthy economy. 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
( 1 2 3 ) ( ( x) c ( x)3 ) tending to be large and the
less
real X
.
The best-state condition of the first transfer law is
3 c ( x) where c 1 which is the best state of 3
virtual S X
virtual S X
real X
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 or . The
running condition of the first transfer law is
both ( 1 2 3 ) (1 2 3 ) and 3 c ( x) 0 .
By Theorem 2.1 and Corollary 2.1, the running condition is
nearly equivalent to both 0 1 ( x) 1 and 0 c 1 .
less
rare
less
adjusted
the Yin energy of
real X .
virtual X
virtual Chou X
virtual Shen S virtual You S , so generally believe that
less
less
be
less
real Yin K
less
Because the energy change between
less
less
less
less
virtual Zi X virtual Chou X and real Yin K X real Mao K X needs
less
K
less
virtual Zi X
real S X
real S X
more
less
virtual Xu X Sx virtual Hai X Sx
virtual K X
virtual K X
rare
less
virtual Shen S X
virtual You S X
less
less
less
virtual Wu X Sj virtual Wei X Sj
virtual X K virtual X K
virtual X
less
more
less
less
rare
less
less
real Yin K X
real Mao K X
real X S real X S
less
virtual Chou X
( virtual Shen S X
virtual You S X
)
real X + real X
real X
less
All transfer laws of the Jingluo system or the twelve
Earthly Branches model for a healthy economy 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 economy energies with a healthy
economy, simply, the first transfer law.
For a Yang energy of X and the Zangxiang system or the
ten Heavenly Stems model for a healthy economy , the first
transfer law is transferring along the loving or liking order of
the ten heavenly stems as follows:
more
less
For a Yin energy of X and the Jingluo system or the
twelve Earthly Branches model for a healthy economy,
the first transfer law is transferring against the loving or
liking order of the twelve earthly branches as follows
X (0,e)
virtual Chou
virtual Xu
rare
rare
less
real Chou X real Zi X .
less
less
virtual You
rare
less
( real You S X real Shen S X )
virtual Zi
X S (1,e)
less
less
virtual Mao K X
virtual Yin K X
X S (1,(123))
virtual Hai
S X (0,(13))
less
less
less
rare
less
rare
j
rare
real Xu X Sx
real Wei X Sj real Wu X Sj
virtual Wu
X K (0,(132))
K X (1,(132))
rare
less
real Si
less
real You S X
real Shen S X
rare
less
less
real Hai X Sx
X S (1,(13))
more
real Zi X
less
virtual Wei
real Chen
K X (1,(12))
real Chou X
to 1 ( x) 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
.
For a Yang energy of X and the Jingluo system or the
twelve Earthly Branches model for a healthy economy,
the first transfer law is transferring along the loving or liking
order of the twelve earthly branches as follows:
46
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ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
the
coefficient
real Ren (1,4) S X real Gui (0,4) S X
of
rare
self-protection 3 c ( x) 0 where 0 c 1 will
tend to be the best state, i.e., ( x) 1 and
0 c 1. #
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 by Attaining Rule in Zhang [23], it is just
the food of the second physiological system of the steady
multilateral system for a healthy economy. The best state of
the self-protection coefficient 3 c ( x) , i.e.,
3 c ( x) ( x)
virtual Wu (1,2) X K virtual Ji (0,2) X K
more
less
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:
virtual Yi (0,0) X virtual Jia (1,0) X
less
virtual Ji (0,2) X K virtual Wu (1,2) X K
rare
rare
real Xin (0,3) K X real Geng (1,3) K X
more
less
( x) 1 and
conditions
and (4). The unhealthy economy means that the conditions
0 1 ( x) 0 and 0 c 1 hold, which is equivalent to the
disease comes from the mother S X 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:
real Mao
K X (1,(12))
real Xin (0,3) K
less
less
real Yin
K (1,(132))
X
rare
virtual Chen
real Shen
X
S (0,(13))
less
real You
S (0,(123)
X
rare
real Xu
X
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:
X Sj (1,(13))
X Sx (1,e)
less
rare
disease comes from the mother S X of X . The transfer law of the
real Wei
real Hai
rare
The transfer law of each of the 10 kinds of energy in the
Zangxiang system or the ten Heavenly Stems model for an
unhealthy economy is from its root-causes to its symptoms.
Furthermore, for the unhealthy economy, if a subsystem X
of a steady multilateral system V falls a real disease, then the
more
x
S
(1,(23))
less
X (0,(12))
K
less
real Wu
X Sj (1,(123))
real Zi
X (0,e)
less
less
virtual Si
real Chou
X K (0,(132))
X (0,(23)) .
rare
For the unhealthy economy, if a subsystem X of a steady
multilateral system V falls a virtual disease, then the disease
comes from the son X S of X . The transfer law of the Yin vital
X
real Bing (1,1) X S real Ding (0,1) X S
rare
0 1 ( x) 0 and 0 c 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 economy is from its root-causes to its symptoms.
Furthermore, for the unhealthy economy, if a subsystem X
of a steady multilateral system V falls a real disease, then the
abnormal range x[0.8789%, 5.2241%] .
From [20] 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 economic
society energies with an unhealthy economy.
Theorem 3.4 (The transfer law of the ten Heavenly
Stems with an unhealthy economy) Let the RPI inflation
rate x [0.8789%, 5.2241%] which is equivalent to the
conditions 0 1 ( x) 0 and 0 c 1.
real Geng (1,3) K
less
All transfer laws of the Zangxiang system or the ten
Heavenly Stems model for an unhealthy economy 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 RPI inflation rate
x [0.8789%, 5.2241%] which is equivalent to the
1 ( x), 2 ( x)2 and
3 c ( x) where 0 c 1 , and ( x) is defined in Eqs.(3)
less
less
virtual Yi (0,0) X virtual Jia (1,0) X .
inflation rate of V . Taking
X
less
rare
Suppose that a steady multilateral system V having energy
function (*) is abnormal or unhealthy. Let x be the RPI
rare
less
virtual Ding (0,1) X S virtual Bing (1,1) X S
3.4 Second Transfer Laws of Economic Society Energies of
Steady Multilateral Systems with an unhealthy Economy
real Jia (1,0) X real Yi (0,0) X
less
virtual Gui (0,4) S X virtual Ren (1,4) S X
0 c 1. 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 economy. #
less
And if a subsystem X of a steady multilateral system V falls
a virtual disease, then the disease comes from the son X S of X .
non-existence of any side effects issue if the treatment
principle of TCE 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.,
3 c ( x) ( x) .To follow or utilize the
less
less
real Jia (1,0) X real Yi (0,0) X
, where c 1 , implies the
running of the first transfer law can make both
less
less
energies of the twelve earthly branches is transferring along
47
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virtual Zi X
the killing or liking order of the twelve earthly branches as
follows:
real Mao
less
real Yin
more
X (0,(23))
K X (1,(132))
virtual Shen
rare
less
X S j (1,(13))
X
less
virtual You
real Yin K X
real Mao K X
S (0,(123)
X
j
S
x
S
(1,(123))
virtual X
less
virtual X
less
virtual Xu
X S x (1,(23)) .
more
real Zi X
less
virtual Si X K
virtual Shen X K
less
less
3 c ( x) 0
.
less
virtual X K
virtual X K
real X
means
the
lack
of
capability
of
1 3 0 and
2 13 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.,
where
3 c ( x) 0
less
.
condition of the killing or liking relation disease
( 1 2 3 ) (1 2 3 ) is the weaker the use,
which dues to 3 c ( x) is the greater the use. The
real S X
real S X
less
2 1 3 ( x)2 (1 c) tending to be small at the same
time. In other words, using the method can make c tends to
be large for a fixed ( x) 0. It is because the transferring
less
more
less
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
( 1 2 3 ) (1 2 3 ) and 3 c ( x) 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
and
strengthen
all of both
1 3 ( x)(1 c)
real X S real X S
rare
real Chou X
By Theorem 2.1 and Corollary 2.1, the running condition is
equivalent to both 0 1 ( x) 0 and 1 c 0 . That
less
rare
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
( 1 2 3 ) (1 2 3 ) and 3 c ( x) 0 .
real K X
real K X
rare
less
real Zi X
For a Yang energy of X and the Zangxiang system or
the ten Heavenly Stems model for an unhealthy economy,
the second transfer law is transferring against the killing or
liking order of the ten heavenly stems as follows:
real X
less
more
less
rare
less
virtual X
less
real Shen S X
real You S X
real K X
real K X
less
less
less
less
less
real Wu X Sj real Wei X Sj
virtual X S virtual X S
virtual X
.
real Hai X Sx real Xu X Sx
less
more
real Chou X
rare
virtual S X
virtual S X
rare
less
real Yin K X
real Mao K X
less
virtual X K
virtual X K
rare
virtual Chou X
less
less
rare
For a Yang energy of X and the Jingluo system or the
twelve Earthly Branches model for an unhealthy
economy, the second transfer law is transferring against the
killing or liking order of the twelve earthly branches as
follows:
(1,e)
All transfer laws of the Jingluo system or the twelve Earthly
Branches model for an unhealthy economy 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 3.5 are called the transfer law
of occurrence and change of energies with an unhealthy
economy, simply, the second transfer law.
For a Yin energy of X and the Zangxiang system or the
ten Heavenly Stems model for an unhealthy economy, the
second transfer law is transferring along the killing or liking
order of the ten heavenly stems as follows:
less
virtual Zi X
less
virtual Wu
less
less
less
more
virtual Hai
less
less
real X
less
virtual Hai X Sx virtual Xu X Sx
X K (0,(132))
virtual Wei
S X (0,(13))
X
less
less
rare
less
virtual Wu X Sj virtual Wei X Sj
virtual Si
rare
virtual Chen X K
rare
less
virtual Chou
virtual Shen S X
virtual You S X
rare
less
less
rare
X K (0,(12))
X (0,e)
less
virtual Chou X
virtual Si X K
virtual Chen
virtual Zi
K X (1,(12))
less
transferring way can make both
real X .
less
For a Yin energy of X and the Jingluo system or the
twelve Earthly Branches model for an unhealthy
economy , the second transfer law is transferring along the
killing or liking order of the twelve earthly branches as
follows:
48
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1 ( x)
0 , and the coefficients of intervention
2 ( x )3
reaction also will tend to the healthy state, i.e.,
0 1 ( x) 1 , such that ( 1 2 3 ) (1 2 3 ) .#
1 c
and at the same time, to decrease the energy of the
prisoner X K of X .
(3) Suppose that x [t0 , b] as real-normal, in which X or
X S will encounter a
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
1 3 ( x)(1 c) 0,
2 1 3 ( x) 2 (1 c) 0,
by Theorems 3.2 and 3.3, any medical and drug resistance
problem is non-existence if the treatment principle of TCE is
used. But in the state
1 3 ( x)(1 c) ( x),
2 1 3 ( x) 2 (1 c) ( x) ,
by Theorems 3.4 and 3.5, the medical and drug resistance
problem is always existence, even if the treatment principle of
TCE has been used. It is because virtual X K cannot kill real
SX
if
X
real disease with a healthy economy. The
son X S 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 X S 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 K X of X .
(4) Suppose that x b as real, in which X or K X encounters
a real disease with an unhealthy economy. The subsystem
X or K X itself is the root-cause of an expected or a happened
real disease. And the mother S X of
is intervened by increasing its energy. In other
X
is the symptoms of an
words, the lack of capability of self-protection, i.e.,
3 c ( x) 0 , implies the possible existence of a
expected real disease. The primary treatment is to decrease
the energy of the subsystem X or K X directly. And the
medical and drug resistance problem, although the treatment
principle of TCE 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 economy.#
secondary treatment is to decrease the energy of the
mother S X of X , and at the same time, to increase the energy
of the bane X K of S X . #
Remark 6. Treatment principle of Theorem 4.1 based on
ranges of the economy RPI inflation rate is called the
treatment principle of TCE, 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 economy where x a 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 a or x b
respectively, and the secondary treatment is to increase the
energy of X S or X K while to decrease the energy of K X or S X ,
IV. TREATMENT PRINCIPLE OF TCE
In order to explain treatment principle of TCE , the changes in
the range of RPI inflation rate is divided into four parts. From
[20] , Theorems 2.1, 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 economy RPI
inflation rate of the steady multilateral system. Denoted the
parameters of the normal range as follows
a 0.8789%, b 5.2241%, t0 2.7047%.
Then the following statements are true.
(1) Suppose that x a as virtual, in which X or X K falls a
respectively.
The primary treatment is in order to protect and maintain the
loving or liking relationship, abiding by TCE's ideas “Virtual
disease with an unhealthy economy is to fill itself” and “Real
disease with an unhealthy economy 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 1 2 3 ( x) c ( x) 2 tends to be large
virtual disease with an unhealthy economy. The subsystem
X or X K itself is the root-cause of a happened virtual
disease. And the son X S 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 X K directly. And
the secondary treatment is to increase the energy of the
son X K of X , and at the same time, to decrease the energy of
the prisoner K X of X S .
(2) Suppose that
which
X
x [a, t0 ) as virtual-normal, in
or S X will fall a virtual disease with a healthy
economy. The mother S X of
X
and that 1 2 3 1 c ( x)3 tends to be small at
the same time. In other words, the way can make all of both
( x) and c tend to be large, at least, c greater than zero
for an unhealthy economy and 0 ( x) 1 , such that
is the root-cause of an
expected virtual disease. And the subsystem X or S X is the
symptoms of an expected virtual disease. The primary
treatment is to increase the energy of the mother
subsystem S X of X which is an indirect treating for X . And
the economy from unhealthy to healthy, or the first
physiological system works, or, the occurrence of capability
the secondary treatment is to increase the energy of X itself,
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RPI for the Wood Subsystem based on Zangxiang and Jingluo– Mathematical Reasoning of Economic Intervening
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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 TCE'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 X S and real K X , or
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 TCE'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 K X or between virtual X and
between real S X and virtual X K respectively.
real X K corresponding to real
Abiding by TCE'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 X S and real K X , or between
Abiding by TCE'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 K X or between
real S X and virtual X K occurrence respectively.
virtual
Abiding by TCE's idea ‘Strong inhibition of the same time,
support the weak”, it must be done to increase the energy of
X S or X K while decrease the energy of K X or S X respectively.
virtual X respectively.
Abiding by TCE's idea “Strong inhibition of the same time,
support the weak”, it must be done to increase the energy
of K X or X while decrease the energy of X or X K respectively.
The method for doing so can improve the killing or liking
relationship to develop since real X S or X K can kill
X
X
or virtual
X
, respectively.
and real X K occurrence corresponding to real X or
The method for doing so can improve the killing or liking
relationship developing since real K X or real X can kill virtual
virtual K X or S X respectively. The killing or liking relationship
to develop means that both 1 3 ( x)(1 c) and
2 13 ( x)2 (1 c) tend to be small at the same
or virtual X K respectively. The killing or liking relationship
developing also means that both 1 3 ( x)(1 c) and
2 13 ( x)2 (1 c) tend to be small at the same time. In other
X
time. In other words, the way can make, for fixed ( x) , c
tending to be large, at least, greater than zero for an unhealthy
economy, such that the economy 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 economy where x [a, t0 ] or x (t0 , b] ,
words, using the way can make, for fixed ( x) , 0 c
tending to be large, the best, equal to 1 for a healthy economy,
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. #
V. CHINESE RPI FOR THE WOOD SUBSYSTEM
the treatment principle is the method for doing so in the
following:
The primary treatment is to increase or decrease the
energy of S X or X S corresponding to x [a, t0 ] or
Suppose that M 2 as issued in the circulation of money and GDP
as Gross Domestic Product in Chinese from 1990 to 2014, the
annual RPI and the annual RPI inflation rates can be
measured in Table 3.
Also watching Table 3, the state of the RPI inflation rate is:
real, real, real, real, real, real-normal, for 1991-1996,
respectively.During this period of time, large-scale goods
have been made.
It means that the subsystem wood( X ) of the economic
social system with an unhealthy economy encounters a real
economic disease since the RPI inflation rate belongs to
“industry” of wood( X ).
Also watching Table 3, the state of the GBR inflation rate
is:virtual, virtual-normal, real, real-normal, real-normal,
real-normal, for 1991-1996, respectively.
x (t0 , b] respectively, and the secondary treatment to
increase the energy of K X or X while to decrease the energy
of X or X K , respectively.
The primary treatment is in order to protect and maintain the
loving or liking relationship, abiding by TCE's ideas “Virtual
disease with a healthy economy is to fill mother” and “Real
disease with a healthy economy 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 1 2 3 ( x) c ( x) 2 tends to be large and
It means that the subsystem metal( K X ) of the economic
social system with a healthy economy encounters an expected
real economic disease since the GBR inflation rate belongs to
“science,education, and public facilities” of metal( K X ).
There are two subsystems wood( X ) and metal( K X ) which
that 1 2 3 1 c ( x) tends to be small at the
same time. In other words, using the way can make all of both
( x) and 0 c tending to be large, the best, all equal to
1 for a healthy economy, such that the capability of
self-protection is in the best state, or, the non-existence of side
have the killing relationship and fall a real disease or an
expected real disease. By Definition 3.2 in Zhang [23], the
relation economic disease is rare because real-normal
metal( K X ) cannot kill real wood( X ) which cannot destroy the
balance of the killing relation from metal( K X ) to wood( X ). If
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International Journal of Engineering and Technical Research (IJETR)
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metal( K X ) is intervened such that it is from real to virtual, then
wood( X ) cannot kill the real earth( X K ) which can destroy the
there is a more serious disease to occur since virtual
balance of the killing relation from wood( X ) to earth( X K ).
metal(
KX
) cannot kill real wood(
X
). Thus the mainly
So, at present the most serious problem is to treat the
subsystem wood( X ) falling a virtual disease for an unhealthy
sub-economy. It is the case in (1) of Theorem 4.1 for
wood( X ).
By (1) of Theorem 4.1, the subsystem earth( X K ) itself is the
root-cause is the real disease of the subsystem wood( X ).
So, at present the most serious problem is to treat the
subsystem wood( X ) falling a real disease for an unhealthy
sub-economy. It is the case in (4) of Theorem 4.1 for
wood( X ).
By (4) of Theorem 4.1, the subsystem wood( X ) itself is
the root-cause of a happened real disease. And the mother
subsystem water( S X ) of wood( X ) is the symptoms of an
root-cause of a happened virtual disease. And the son
subsystem metal( K X ) of earth( X K ) is the symptoms of an
expected virtual disease.
By (1) of Theorem 4.1, the primary treatment is gotten to
increase the energy of the subsystem wood( X ) directly. And
the secondary treatment is gotten to increase the energy of the
expected real disease.
By (4) of Theorem 4.1 again, the primary treatment is
gotten to decrease the energy of the subsystem wood( X )
directly. And the secondary treatment is gotten to decrease the
energy of the mother water( S X ) of wood( X ), and at the same
son fire( X S ) of wood( X ), and at the same time, to decrease the
energy of the prisoner metal( K X ) of fire( X S ).
time, to increase the energy of the bane earth( X K ) of
In fact, the Chinese government did just that. For
1999-2008, not only had increased gradually the financial
amounts of investment in the manufacture (e.g.,to invest in
real estate, to increase the energy of the subsystem wood( X )
directly), but also had increased to make money, and
investment in the agriculture, such as, exempt from the
agricultural taxation, increase of agricultural land
expropriation compensation, etc. (to increase the energy of
water( S X ).
In fact, the Chinese government did just that. For
1993-1999, not only had decreased gradually the financial
amounts of investment in the manufacture (to decrease the
energy of the subsystem wood( X ) directly), but also had
decreased investment in the Army , such as, big disarmament,
a freeze on a large number of military engineering, etc. (for
decreasing the energy of water( S X )) while had increased little
j
decreased in the science and education, such as, a small
amount of teachers and researchers for a raise, schools and
research institutions self-sustaining, etc.(to decrease the
energy of metal( K X )).
by little the workers’ wages, the social security and social
welfare, such as, the public accumulation fund for housing
construction,
pension
funds,
medical
insurance,
unemployment insurance, etc.(to increase the energy of
earth( X K )).
Therefore, application of nature for the treatment principle
of TCE by the Chinese government had brought the sustained
and rapid growth of industry economy for 1991-2008.
Also watching Table 3 again, the state of the RPI inflation
rate is: real, real-normal, real-normal, real-normal, real,
virtual, real-normal, real, for 2004-2011, respectively. During
this period of time, large-scale goods have been still made.
But a lot of society problems begin occurring.
It means the subsystem wood( X ) is mainly with a healthy
sub-economy. It is because the manufacture of large-scale
goods or the normal RPI inflation rate belongs to“industry” of
the subsystem wood( X ).
But the Finance inflation rate is continuously smaller
than a 6 2.9515% (deflation) from 2004 to 2008 as virtual,
Also watching Table 3, the state of the RPI inflation rate is:
virtual, virtual, virtual, real-normal, virtual, virtual,
virtual-normal, for 1997-2003, respectively. During this
period of time, mass goods cannot be made. Supplies are still
scarce. Rush on still appear on the market.
It means that the subsystem wood( X ) falls a virtual disease
for an unhealthy economy since the RPI inflation rate belongs
to the “industry” of wood( X ).
But also watching Table 3, the state of the CPI inflation rate
is virtual-normal, virtual, virtual, virtual, virtual, virtual,
virtual, for 1997-2003, respectively.
It means that the subsystem earth( X K ) of the economic
social system with an unhealthy economy encounters a virtual
economic disease since the CPI inflation rate belongs
to“commerce” of earth( X K ).
except for 2005 year's normal state. It means the whole
economy still is unhealthy. Its some subsystem still has
encountered a virtual disease. Observation of the whole
economic and social five subsystems, it can be found that
there is a virtual disease state of the subsystem earth( X K ).
There are two subsystems wood( X ) and earth( X K ) which
have the killing relation and fall virtual diseases. By
Definition 3.2 in Zhang [23], the relation disease between
virtual wood( X ) and virtual earth( X K ) is rare since virtual
There are two subsystems wood( X ) and earth( X K ) which
have the killing relation. But the subsystem wood( X ) is
real-normal and the subsystem earth( X K ) falls a virtual
wood( X ) cannot kill virtual earth( X K ) which cannot destroy
the killing order from wood(
X
x
fire( X S ) including jun-fire( X S ) and xiang-fire( X S )) while had
disease. By Definition 3.2 in Zhang [23], the relation disease
between real wood( X ) and virtual earth( X K ) is less since real
) to earth( X K ). But if the
subsystem earth( X K ) is intervened such that it is from virtual
wood( X ) can kill virtual earth( X K ) which cannot destroy the
to real, there is a more serious relation disease between
virtual wood( X ) and real earth( X K ). It is because the virtual
killing order from wood( X ) to earth( X K ). Now the subsystem
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RPI for the Wood Subsystem based on Zangxiang and Jingluo– Mathematical Reasoning of Economic Intervening
Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)
So, at present the most serious problem is to treat the
subsystem water( S X ) falling a virtual disease with a healthy
earth( X K ) can be intervened such that it is from virtual to
real-normal.
So, at present the most serious problem is to treat the
subsystem earth( X K ) falling a virtual disease for an unhealthy
sub-economy of the subsystem of the subsystem water( S X ) . It
is the case in (2) of Theorem 4.1 for water( S X ).
sub-economy of earth( X K ). It is the case in (1) of Theorem 4.1
By (2) of Theorem 4.1, the mother subsystem metal( K X ) of
for earth( X K ).
water( S X ) is the root-cause of an expected virtual disease.
By (1) of Theorem 4.1, the subsystem earth( X K ) itself is the
And the subsystem water( S X ) itself is the symptoms of an
root-cause of a happened virtual disease. And the son
subsystem metal( K X ) of earth( X K ) is the symptoms of an
expected virtual disease.
The S X as X in (2) of Theorem 4.1, the primary treatment is
expected virtual disease.
The X K as X in theorem 4.1, using (1) of Theorem 4.1 again,
gotten to increase the energy of the mother subsystem
metal( K X ) of the water( S X ), where S( S ) K X in Figure 1.
And the secondary treatment is gotten to increase the energy
of the water( S X ) itself while decrease the energy of the
the primary treatment is gotten to increase the energy of the
subsystem earth( X K ) directly. And the secondary treatment is
X
gotten to increase the energy of the son metal( K X ) of
earth( X K ), where ( X K )S K X in Figure 1, and at the same
time, to decrease the energy of the bane wood( X ) of
earth( X K ),where K ( X ) X in Figure 1.
prisoner fire(
XS
) of the water( S X ) ,where (S X ) K X S in
Figure 1.
In fact, the Chinese government also is doing just that.
Since 2015, not only has increased continuously investment in
science, education and public facilities, such as, One Belt and
One Road, etc. ( for increasing the energy of metal( K X )), but
K
In fact, the Chinese government did just that. For
2004-2014, not only had increased the financial amounts of
investment in commerce, such as, strengthen the support for
the WTO trade, etc. (to increase the energy of the subsystem
earth( X K ) directly), but also had increased investment in
also has increased to military spending (to increase the energy
of the water( S X )) while has reduced the number of making
money, and reduced the agricultural support, such as, reduce
the purchase price of agricultural products, etc. (to decrease
science, education and public facilities, such as to build high
speed rail, etc. (to increase the energy of metal( K X )) while had
the energy of fire(
reduced the industrial support, such as, the appreciation of the
RMB, etc. (to decrease the energy of wood( X )).
Therefore, again application of nature for the treatment
principle of TCE by the Chinese government had brought the
2004-2014 economic taking off again.
Also watching Table 3 again and again, the state of the RPI
inflation rate is: virtual, virtual, virtual, for 2012-2014,
respectively.
It means that the the subsystem wood( X ) is a happen virtual
disease for an unhealthy sub-economy. It is because the
manufacture of large-scale goods or the RPI inflation rate
belongs to“industry” of the subsystem wood( X ).
The virtual disease of wood( X ) is not because of its low
energy, but because of its energy is too high to make
producing products too much, so much so that there is no way
to sell products, low profit of industrial production. In the
TCE, this disease is Yang irritability turned to deficiency
disease. This disease is not the current urgent problems since
it cannot destroy the killing order balance of the economy.
But if this virtual-normal disease of wood( X ) is
continuously to develop, by Theorems 3.2 and 3.3, the virtual
wood( X ) will make its mother subsystem water( S X ) falling a
xiang-fire(
x
XS )
XS
) including jun-fire(
j
XS
) and
). Therefore, again and again application of
nature for the treatment principle of TCE by the Chinese
government will lead to economic continue to glory since
2015.#
VI. CONCLUSIONS
This work shows how to treat the diseases of a economy by
using the RPI inflation rate x . For the RPI inflation rate, the
normal range of theory is [0.8789%,5.2241%] nearly to
[1%,5%] , and the center is 2.7047% nearly to 3% . By both
the Zangxiang system or the ten Heavenly Stems model
and the Jingluo system or the twelve Earthly Branches
model, there are the first or second transfer law of economic
energies corresponding to a healthy economy or an unhealthy
economy respectively. The first or second transfer law of
economic energies changes according to the different
economy’s RPI inflation rate whether in the normal range or
not. For the normal range, the first transfer law of economic
energies in Theorems 3.2 and 3.3 run; For the abnormal range,
the second transfer law of economic energies in Theorems 3.4
and 3.5 run.
Assume that the range of economy’s RPI inflation rate x is
divided into four parts from small to large. Both second and
third are for a healthy economy 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 is the subsystem
X itself. Abiding by TCE’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 治 , the works
virtual economic disease when it encounters an economic
disease. In fact, the economic indicators of GDP which
belongs to the subsystem water( S X ) is beginning to decline.
Abiding by TCE's idea “Don’t have economic disease cure
cure non-ill”, the prevention and treatment of the current work
is the need to prevent the virtual disease of the subsystem
water( S X ) for a healthy economy.
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(2) Suppose that a=0.8789% x t0 2.7047%, as
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 X K or between real X and virtual
virtual-normal, in which
root-cause of an expected virtual disease. And the
subsystem X itself is the symptoms of an expected virtual
disease. Abiding by TCE’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 治 , it should
be done to do in the following.
In order to protect or maintain the loving relationship,
abiding by TCE’s idea “Virtual disease with a healthy
economy is to fill its mother” (虚则补其母) , increase the energy
from the first transfer law of economic energies in Theorems
3.2 and 3.3.
And both first and fourth are for an unhealthy economy 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 the son or mother of the falling-ill subsystem
X respectively. Abiding by TCE’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 治 , the
works are first the prevention or the treatment for itself of a
virtual or real disease respectively, the second are the
prevention or the treatment for a more serious relation disease
between virtual X S and real K X or between real S X and virtual
of the mother S X of
X
and real X K .
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 decrease the energy of the
prisoner X K of X .
(3)Suppose that t0 =2.7047% x b 5.2241%, as
real-normal, in which X or X S falls a real disease with a
c tend to be large, at least, greater than zero for an unhealthy
economy; or, the best, equal to 1 for a healthy economy.
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 a 0.8789%, as virtual,in which
healthy economy. The son X S of the subsystem
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 TCE’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 治 , it should be done to do in the
following.
In order to protect or maintain the loving relationship,
abiding by TCE’s idea “Real disease with a healthy economy
is to rush down its son” (实则泄其子) , decrease the energy of
or X K falls a virtual disease with an unhealthy economy.
The subsystem X or X K itself is the root-cause of a happened
is the symptoms of an
expected or a happened virtual disease. Abiding by TCE’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 治 , it should be done to do in the
following.
In order to protect or maintain the loving relationship,
abiding by TCE’s idea “Virtual disease with an unhealthy
economy is to fill itself” (虚则补之) , increase the energy of
X
. The treating way is an indirect treating
more serious relation disease between virtual
from the second transfer law in Theorems 3.4 and 3.5.
Economic 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
3 c ( x) tending to be large, i.e., all of both ( x) and
X
X
for X .
In order to protect or maintain the killing relationship,
abiding by TCE’s idea “Don’t have disease cure cure
non-ill” (不治 病治未病) , do a preventive treatment for the
X K , respectively. Both the root-cause and the symptoms come
virtual disease. And the son X S of
or S X falls a virtual disease with
a healthy economy. The mother S X of the subsystem X is the
K X , respectively. Both the root-cause and the symptoms come
X
X
the son X S of
X
. The treating way is an indirect treating for
.
In order to protect or maintain the killing relationship,
abiding by TCE’s idea “Don’t have disease cure cure
non-ill” (不治 病治未病) , do a preventive treatment for the
X
more serious relation isease between real
X
and virtual K X .
Through the intervening principle of “Strong inhibition of
the same time, support the weak” (抑强扶弱) , decrease the
or X K directly.
energy of
In order to protect or maintain the killing relationship,
abiding by TCE’s idea “Don’t have disease cure cure
non-ill” (不治 病治未病) , do a preventive treatment for
X
X
itself while increase the energy of the bane K X of
.
(4) Suppose that x b 5.2241%, as real, in which
the more serious relation disease between virtual X S and real
X
KX .
subsystem X or K X itself is the root-cause of a happened real
Through the intervening principle of “Strong inhibition of
the same time, support the weak” (抑强扶弱) , increase the
or K X falls a real disease with an unhealthy economy. The
disease. And the mother S X of
X
is the symptoms of an
expected or a happened real disease. Abiding by TCE’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 治 , it should be done to do in the
following.
energy of the son X S of X while decrease the energy of the
prisoner K X of X S .
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RPI for the Wood Subsystem based on Zangxiang and Jingluo– Mathematical Reasoning of Economic Intervening
Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)
In order to protect or maintain the loving relationship,
abiding by TCE’s idea “Real disease with an unhealthy
economy is to rush down itself” (实则泄之) , decrease the
energy of
X
Similarly, the synthesized and combined relationship
between two elements
Yin(1, (132)) {Jia(1,0),Bing(1,1),Wu(1,2)} and Mao(1, (12)) {Yi(0, 0)}
is Geng(1, 3) as metal( K X ) in Theorem 3.1 since
or K X directly.
Yin(1, (132)) {Jia(1,0),Bing(1,1),Wu(1,2)},
Mao(1, (12)) {Yi(0, 0)},
In order to protect or maintain the killing relationship,
abiding by TCE’s idea “Don’t have disease cure cure
non-ill” (不治 病治未病) , do a preventive treatment for the
Jia(1,0)*Bing(1,1)*Wu(1,2) Geng(1, 3),
Yi(0, 0) 1 * Geng(1, 3) Geng(1, 3).
more serious relation disease between real S X and virtual X K .
The synthesized and synthesized relationship between two
elements
Chen(0, (12)) {Yi(0, 0), Wu(1,2), Gui(0,4)} and
Through the intervening principle of “Strong inhibition of the
same time, support the weak” (抑强扶弱) , decrease the energy
of the mother S X of
XK
X
Si(0, (132)) {Bing(1,1), Geng(1,3), Wu(1,2)}
while increase the energy of the bane
is Ji(0,2) as earth( X K ) in Theorem 3.1 since
Chen(0, (12)) {Yi(0, 0), Wu(1,2),
of S X .
Gui(0,4)}, Si(0, (132)) {Bing(1,1), Geng(1, 3), Wu(1,2)}
Yi(0, 0) * Wu(1,2) * Gui(0,4)=Bing(1,1),
ACKNOWLEDGEMENTS
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).
Bing(1,1) * Geng(1, 3) * Wu(1,2)=Bing(1,1),
Bing(1,1) * Bing(1,1) Ji(0,2).
The synthesized and synthesized relationship between two
elements
and
Wu(1, (123)) {Ding(0,1), Ji(0, 2)}
Wei(1, (13)) {Ding(0,1), Ji(0, 2), Yi(0, 0)}
is Ding(0,1) as xiang-fire( X Sx ) ( 相火 ) in Theorem 3.1 since
APPENDIX
Wu(1, (123)) {Ding(0,1), Ji(0, 2)},
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
Wei(1, (13)) {Ding(0,1), Ji(0, 2), Yi(0, 0)},
Ding(0,1) * Ji(0, 2) Xin(0,3),
Ding(0,1) * Ji(0, 2) * Yi(0, 0) Xin(0,3),
Xin(0,3) * Xin(0,3) Ding(0,1).
The synthesized relationship between between the
comprehensive energy of two elements
Shen(0, (13)) {Geng(1,3), Ren(1,4),Wu(1,2)} and You(0, (123)) {Xin(0,3)}
is Ren(1, 4) as water( S X ) in Theorem 3.1 since
Shen(0, (13)) {Geng(1, 3), Ren(1,4),Wu(1,2)},
You(0, (123)) {Xin(0, 3)},
Geng(1, 3) * Ren(1,4)*Wu(1,2) Ren(1, 4),
Xin(0, 3) 1 * Wu(1,2) Ren(1, 4).
Xu(1, (23)) {Xin(0,3), Wu(1,2), Ding(0,1)}
Hai(1, e) {Ren(1,4), Jia(1,0)}
The synthesized relationship between two elements
is Bing(1,1) as jun-fire( X Sj ) ( 君火 ) in Theorem 3.1 since
Xu(1, (23)) {Xin(0, 3), Wu(1,2), Ding(0,1)},
Hai(1, e) {Ren(1,4), Jia(1,0)},
Xin(0, 3) * Wu(1,2)*Ding(0,1)=Bing(1,1),
Ren(1,4) 1*Jia(1,0) * Xin(0, 3) * Wu(1,2)=Bing(1,1).
Therefore, the following notations in Definition 3.2 is
reasonable.
Zi(0, e) {Gui(0,4)},
Chou(0, (23)) {Ji(0,2), Gui(0,4),Xin(0,3)},
X
Ji(0,2)*Gui(0,4) * Xin(0,3) Gui(0, 4),
Gui(0,4)
1
and
(0, e )
* Gui(0, 4)=Yi(0,0).
X
Therefore, the synthesized and synthesized or combined
relationship between two elements
Zi(0, e) {Gui(0,4)} and Chou(0, (23)) {Ji(0, 0), Gui(0,4),Xin(0,3)}
is Yi(0,0) as wood ( X ) in Theorem 3.1.
(0, (23))
x
j
XS
XK
KX
SX
XS
(1, e )
(0, (12))
(1, (12))
(0, (13))
(1, (13))
x
XS
XK
KX
SX
j
XS
(1, (23))
(0, (132))
(1, (132))
(0, (123))
(1, (123)).
It
is with the correct meaning of the Yin Yang Wu Xing Model
in Theorem 3.1. #
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ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
2,6)
R((0,
e ) {((0, e), (0, e)), ((1, e), (1, e)),
Proof of Property 3.3. Consider the Zangxiang system or
the ten Heavenly Stems model V 2 V 5 {(i, j ) | i V 2 , j V 5 } .
((0, (12)), (0, (12))), ((1, (12)), (1, (12))),
((0, (13)), (0, (13))), ((1, (13)), (1, (13))),
((0, (23)), (0, (23))), ((1, (23)), (1, (23))),
((0, (123)), (0, (123))), ((1, (123)), (1, (123))),
((0, (132)), (0, (132)), ((1, (132)), (1, (132)))},
( 2,6)
R(1,
{((0, e), (1, e)), ((1, e), (0, e)),
e)
Its all relations are as follows:
2,5)
R((0,0)
{((0, 0), (0, 0)), ((1, 0), (1, 0)),
((0,1), (0,1)), ((1,1), (1,1)), ((0, 2), (0, 2)),
((1, 2), (1, 2)), ((0, 3), (0, 3)), ((1, 3), (1, 3)),
((0, 4), (0, 4)), ((1, 4), (1, 4))},
( 2,5)
R(1,0)
{((0, 0), (1, 0)), ((1, 0), (0, 0)),
((0, (12)), (1, (12))), ((1, (12)), (0, (12))),
((0, (13)), (1, (13))), ((1, (13)), (0, (13))),
((0, (23)), (1, (23))), ((1, (23)), (0, (23))),
((0, (123)), (1, (123))), ((1, (123)), (0, (123))),
((0, (132)), (1, (132)), ((1, (132)), (0, (132)))},
((0,1), (1,1)), ((1,1), (0,1)), ((0, 2), (1, 2)),
((1, 2), (0, 2)), ((0, 3), (1, 3)), ((1, 3), (0, 3)),
((0, 4), (1, 4)), ((1, 4), (0, 4))},
2,6)
R((0,(12))
{((0, e), (0, (12))), ((1, e), (1, (12))),
2,5)
R((0,1)
{((0, 0), (0,1)), ((1, 0), (1,1)),
((0, (12)), (0, e)), ((1, (12)), (1, e)),
((0, (13)), (0, (132))), ((1, (132)), (1, (132))),
((0, (123)), (0, (123))), ((1, (123)), (1, (123))),
((0, (23)), (0, (23))), ((1, (23)), (1, (23))),
((0, (13)), (0, (13)), ((1, (13)), (1, (13)))},
((0,1), (0, 2)), ((1,1), (1, 2)), ((0, 2), (0, 3)),
((1, 2), (1, 3)), ((0, 3), (0, 4)), ((1, 3), (1, 4)),
((0, 4), (0, 0)), ((1, 4), (1, 0))},
( 2,5)
R(1,1)
{((0, 0), (1,1)), ((1, 0), (0,1)),
( 2,6)
R(1,(12))
{((0, e), (1, (12))), ((1, e), (0, (12))),
((0,1), (1, 2)), ((1,1), (0, 2)), ((0, 2), (1, 3)),
((1, 2), (0, 3)), ((0, 3), (1, 4)), ((1, 3), (0, 4)),
((0, 4), (1, 0)), ((1, 4), (0, 0))},
((0, (12)), (1, e)), ((1, (12)), (0, e)),
((0, (13)), (1, (132))), ((1, (132)), (0, (132))),
((0, (123)), (1, (123))), ((1, (123)), (0, (123))),
((0, (23)), (1, (23))), ((1, (23)), (0, (23))),
((0, (13)), (1, (13)), ((1, (13)), (0, (13)))},
( 2,5)
R(0,2)
{((0, 0), (0, 2)), ((1, 0), (1, 2)),
((0,1), (0, 3)), ((1,1), (1, 3)), ((0, 2), (0, 4)),
((1, 2), (1, 4)), ((0, 3), (0, 0)), ((1, 3), (1, 0)),
((0,1), (0,1)), ((1,1), (1,1))},
2,6)
R((0,(13))
{((0, e), (0, (13))), ((1, e), (1, (13))),
( 2,5)
R(1,2)
{((0, 0), (1, 2)), ((1, 0), (0, 2)),
((0, (12)), (0, (123))), ((1, (12)), (1, (123))),
((0, (13)), (0, e)), ((1, (13)), (1, e)),
((0, (23)), (0, (123))), ((1, (23)), (1, (123))),
((0, (123)), (0, (12))), ((1, (123)), (1, (12))),
((0, (132)), (0, (23)), ((1, (132)), (1, (23)))},
( 2,6)
R(1,(13))
{((0, e), (1, (13))), ((1, e), (0, (13))),
((0,1), (1, 3)), ((1,1), (0, 3)), ((0, 2), (1, 4)),
((1, 2), (0, 4)), ((0, 3), (1, 0)), ((1, 3), (0, 0)),
((0, 4), (1,1)), ((1, 4), (0,1))},
( 2,5)
R(0,3)
{((0, 0), (0, 3)), ((1, 0), (1, 3)),
((0, (12)), (1, (123))), ((1, (12)), (0, (123))),
((0, (13)), (1, e)), ((1, (13)), (0, e)),
((0, (23)), (1, (123))), ((1, (23)), (0, (123))),
((0, (123)), (1, (12))), ((1, (123)), (0, (12))),
((0, (132)), (1, (23)), ((1, (132)), (0, (23)))},
((0,1), (0, 3)), ((1,1), (1, 3)), ((0, 2), (0, 0)),
((1, 2), (1, 0)), ((0, 3), (0,1)), ((1, 3), (1,1)),
((0, 4), (0, 2)), ((1, 4), (1, 2))},
( 2,5)
R(1,3)
{((0, 0), (1, 3)), ((1, 0), (0, 3)),
2,6)
R((0,(
23)) {((0, e), (0, (23))), ((1, e), (1, (23))),
((0,1), (1, 4)), ((1,1), (0, 3)), ((0, 2), (1, 0)),
((1, 2), (0, 0)), ((0, 3), (1,1)), ((1, 3), (0,1)),
((0, 4), (1, 2)), ((1, 4), (0, 2))},
((0, (12)), (0, (132))), ((1, (12)), (1, (132))),
((0, (13)), (0, (123))), ((1, (13)), (1, (123))),
((0, (23)), (0, e)), ((1, (23)), (1, e)),
((0, (123)), (0, (13))), ((1, (123)), (1, (13))),
((0, (132)), (0, (12)), ((1, (132)), (1, (12)))},
2,5)
R((0,4)
{((0, 0), (0, 4)), ((1, 0), (1, 4)),
((0,1), (0, 0)), ((1,1), (1, 0)), ((0, 2), (0,1)),
((1, 2), (1,1)), ((0, 3), (0, 2)), ((1, 3), (1, 2)),
((0, 4), (0, 3)), ((1, 4), (1, 3))},
( 2,6)
R(1,(
23)) {((0, e), (1, (23))), ((1, e), (0, (23))),
( 2,5)
R(1,4)
{((0, 0), (1, 4)), ((1, 0), (0, 4)),
((0, (12)), (1, (132))), ((1, (12)), (0, (132))),
((0, (13)), (1, (123))), ((1, (13)), (0, (123))),
((0, (23)), (1, e)), ((1, (23)), (0, e)),
((0, (123)), (1, (13))), ((1, (123)), (0, (13))),
((0, (132)), (1, (12)), ((1, (132)), (0, (12)))},
((0,1), (1, 0)), ((1,1), (0, 0)), ((0, 2), (1,1)),
((1, 2), (0,1)), ((0, 3), (1, 2)), ((1, 3), (0, 2)),
((0, 4), (1, 3)), ((1, 4), (0, 3))}.
2,6)
R((0,(123))
{((0, e), (0, (123))), ((1, e), (1, (123))),
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 {(i, j ) | i V 2 , j V 6} .
((0, (12)), (0, (13))), ((1, (12)), (1, (13))),
((0, (13)), (0, (23))), ((1, (13)), (1, (23))),
((0, (23)), (0, (12))), ((1, (23)), (1, (12))),
((0, (123)), (0, (132))), ((1, (123)), (1, (132))),
((0, (132)), (0, e), ((1, (132)), (1, e))},
Its all relations are as follows:
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RPI for the Wood Subsystem based on Zangxiang and Jingluo– Mathematical Reasoning of Economic Intervening
Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)
( 2,6)
R(1,(123))
{((0, e), (1, (123))), ((1, e), (0, (123))),
as the Yang earth, Si as the Yin fire, Wu as the Yang fire, Wei
as the Yin earth, Shen as the Yang metal; You as the Yin
metal, Xu as the Yang earth, Hai as the Yang water. Here,
earth element exists everywhere, so the energy transport order
is mainly composed of wood, fire, metal and water elements.
About wood, fire, metal and water element to determine a
natural transmission law of wood to fire, to metal by soil, then
reach the water. That is to say: a natural Yin energy
transmission rule is as follows:
((0, (12)), (1, (13))), ((1, (12)), (0, (13))),
((0, (13)), (1, (23))), ((1, (13)), (0, (23))),
((0, (23)), (1, (12))), ((1, (23)), (0, (12))),
((0, (123)), (1, (132))), ((1, (123)), (0, (132))),
((0, (132)), (1, e), ((1, (132)), (0, e))},
( 2,6)
R(0,(132))
{((0, e), (0, (132))), ((1, e), (1, (132))),
Yang wood Yin
((0, (12)), (0, (23))), ((1, (12)), (1, (23))),
((0, (13)), (0, (12))), ((1, (13)), (1, (12))),
((0, (23)), (0, (13))), ((1, (23)), (1, (13))),
((0, (123)), (0, e)), ((1, (123)), (1, e)),
((0, (132)), (0, (123)), ((1, (132)), (1, (123)))},
( 2,6)
R(1,(132))
{((0, e), (1, (132))), ((1, e), (0, (132))),
Yang fire Wu
(X
K
(1, 0), X
(1, 2), X
K
(0, 2)), ( K
(S X
(1, 4), S X
(0, 4))
(1, 3), K
X
Yang earth Xu
Wei
Yin metal You
Yin water Hai
Yin earth Chou .
( X (0, e), X (0, (23))), ( X S x (1, e), X S x (1, (23))),
( X K (0, (12)), X K (0, (132))), ( K X (1, (12)), K X (1, (132))),
( S X (0, (13)), S X (0, (123))), ( X S j (1, (123)), X S j (1, (123))
2,6)
R((0,(
23)) {((0, e), (0, (23))), ((1, e), (1, (23))),
((0, (12)), (0, (132))), ((1, (12)), (1, (132))),
((0, (13)), (0, (123))), ((1, (13)), (1, (123))),
((0, (23)), (0, e)), ((1, (23)), (1, e)),
((0, (123)), (0, (13))), ((1, (123)), (1, (13))),
((0, (132)), (0, (12)), ((1, (132)), (1, (12)))}.
It is because the element (0,(23)) of the twelve Earthly
Branches is an essential substance circulating in the channels
and blood vessels (营气) . It is a low cost element if economy
“eats”. Their relations are called the liking relation for a
less
healthy economy, denoted by .
Because the liking relationship cannot change the transfer
law of the order of the loving relation, so,the above elements
replacing transmission rule of the twelve earthly branches
element, get the transmission law of the twelve earthly
branches:
virtual Zi X
less
(0, 0)), ( X S (1,1), X S (0,1)),
X
Yang metal Shen
Its main content is still follow the intergeneration
transmission sequence of Yin Yang Wu Xing.
By Property 3.4, the following relation cost (0,(23))
Use of these relations, to calculate the cost of all the specified
relationship, can be found: the hand phase in Figure 3, all
transverse relationship with low cost, but all vertical
relationship with high cost.
On the other hand, in {Yin,Mao}, {Wu,Wei}, {Xu,Hai}
type or {Chen,Si}, {Shen,You}, {Zi,Shou} type for the
vertices of the triangle respectively, the relationship between
the cost is low. Otherwise, the relationship between the cost is
high. It completes the proof.#
P roof of Theorem 3.2. See Figure 2., in the Zangxiang
system or the ten Heavenly Stems model for a healthy
economy, only both the liking relation and the loving relation
have the transfer law of the Yang or Yin vital or righteousness
energies. By Theorem 3.2 of Zhang [23],Yang is transferring
along the order of the loving relationship. Yin is transferring
against the order of the loving relationship.
By Property 3.3, the following relation cost (0,(23)) is low.
Yin fire Si
Yin earth
Yang water Zi
((0, (12)), (1, (23))), ((1, (12)), (0, (23))),
((0, (13)), (1, (12))), ((1, (13)), (0, (12))),
((0, (23)), (1, (13))), ((1, (23)), (0, (13))),
((0, (123)), (1, e)), ((1, (123)), (0, e)),
((0, (132)), (1, (123)), ((1, (132)), (0, (123)))}.
(X
Yin wood Mao
Yang earth Chen
virtual Chou X
less
( virtual Shen S X
)
virtual You S X
less
(0, 3)),
less
real Mao K X
real Yin K X
( 2,5)
R(1,0)
{((0, 0), (1, 0)), ((1, 0), (0, 0)),
rare
less
real Si X K
real Chen X K
more
((0,1), (1,1)), ((1,1), (0,1)), ((0, 2), (1, 2)),
((1, 2), (0, 2)), ((0, 3), (1, 3)), ((1, 3), (0, 3)),
((0, 4), (1, 4)), ((1, 4), (0, 4))}.
less
virtual Wu X Sj virtual Wei X Sj
rare
less
virtual Shen S X
virtual You S X
rare
It is because the element (1,0) of the ten Heavenly Stems is a
Tao force, which is a low cost if the Yin Yang Wu Xing model
V 5 is implemented by the Tao force of the Tao model V 2 .
less
virtual Xu X Sx virtual Hai X Sx
rare
less
virtual Zi X
less
Their relations are called the liking relation.
Because the liking relationship cannot change the transfer
law of the order of the loving relation, so, by Theorem 3.2 in
Zhang [23],Yang is transferring along the order of the ten
heavenly stems. Yin is transferring against the order of the ten
heavenly stems. It completes the proof.#
Proof of Theorem 3.3. See Figure 3., in the Jingluo system
or the twelve Earthly Branches model for a healthy economy,
only both the liking relation and the adjacent relation have the
transfer law of the Yang or Yin vital or righteousness
energies.
By Definition 3.3, the elements of the twelve earthly
branches have properties: Zi as the Yang water, Chou as the
Yin earth, Yin as the Yang wood, Mao as the Yin wood, Chen
virtual Chou X .
less
The relationship
virtual Wu X S virtual Wei X S
j
j
less
virtual Shen S X virtual You S X
rare
virtual Xu X S
rare
less
virtual Hai X S
x
x
less
can be abbreviated as
virtual Wu X Sj virtual Wei X Sj
less
virtual Xu X
less
x
S
virtual Hai X
less
.
x
S
Thus
56
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International Journal of Engineering and Technical Research (IJETR)
ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
virtual Zi X
virtual Chou X
less
less
( virtual Shen S X
)
virtual You S X
less
is transferring along the loving order of the twelve earthly
branches, of course, by Theorem 3.2 in Zhang [23], it is the
transfer law of the Yang vital or righteousness energies of the
twelve earthly branches.
Therefore, the transfer law of the Yang or Yin vital or
righteousness energies of the twelve earthly branches is
obtained as follows:Yang is transferring along the liking or
loving order of the twelve earthly branches. And Yin is
transferring against the liking or loving order of the twelve
earthly branches. It completes the proof.#
Proof of Theorem 3.4. See Figure 2., in the Zangxiang
system or the ten Heavenly Stems model for an unhealthy
economy, only both the liking relation and the killing relation
have the transfer law of the Yang or Yin vital or righteousness
energies. By Theorem 3.3 of Zhang [23],Yang is transferring
against the order of the killing relationship. Yin is transferring
along the order of the killing relationship.
By Property 3.3, the following relation cost (1,0) is low.
less
real Mao K X
real Yin K X
rare
less
real Si X K
real Chen X K
more
less
virtual Wu X Sj virtual Wei X Sj
rare
less
virtual Xu X Sx
virtual Hai X Sx
less
virtual Zi X
less
less
virtual Chou X
less
.
Because the order
X ( S X ) K X X K X S X ( S X )
is transferring against the loving order of the twelve earthly
branches, of course, by Theorem 3.2 in Zhang [23], it is the
transfer law of the Yin vital or righteousness energies of the
twelve earthly branches.
By Theorem 3.2 in Zhang [23], Yang is transferring along the
order of the loving relationship. Yin is transferring against the
order of the loving relationship. So, the transfer law of the Yin
vital or righteousness energies of the twelve earthly branches
is transferring against the order of the loving or liking
relationship. It is because the liking relationship cannot
change the transfer law of the order of the loving relation.
Thus, the transfer law of the Yang vital or righteousness
energies of the twelve earthly branches is as follows:
real Zi X
real Chou X
less
real Hai X Sx
(X
(X
(S
virtual Si X K
virtual Chen X K
less
virtual Mao K X
virtual Yin K X
less
( real You S X
real Shen S X
)
less
real Chou X
less
The relationship
real Zi X
less
.
real Xu X S
real Hai X Sx
x
less
real Wei X
rare
j
S
real Wu X
less
can be abbreviated as
real Hai X
x
S
less
real Xu X
less
x
S
real Wei X Sj real Wu X Sj
less
real Chou X
real
real Zi X
less
less
Hai X
x
S
( S X (0, (13)), S X (0, (123))), ( X S j (1, (123)), X S j (1, (123))
2,6 )
R((0,(
23)) {((0, e), (0, (23))), ((1, e), (1, (23))),
((0, (12)), (0, (132))), ((1, (12)), (1, (132))),
((0, (13)), (0, (123))), ((1, (13)), (1, (123))),
((0, (23)), (0, e)), ((1, (23)), (1, e)),
((0, (123)), (0, (13))), ((1, (123)), (1, (13))),
((0, (132)), (0, (12)), ((1, (132)), (1, (12)))}.
.
It is because the element (0,(23)) of the twelve Earthly
Branches is an essential substance circulating in the channels
and blood vessels (营气) . It is a low cost element if the
economic society “eats”. Their relations are called the liking
relation for a healthy economy, denoted by .
By Theorem 3.3 in Zhang [23], Yang is transferring against
the order of the killing relationship. Yin is transferring along
the order of the killing relationship. So, the transfer law of the
Yin vital or righteousness energies of the twelve earthly
branches is transferring along the order of the killing or liking
real Xu X Sx
less
real Wei X Sj real Wu X Sj
less
less
virtual Si X K
virtual Chen X K
rare
less
virtual Mao K X
virtual Yin K X
less
less
real Shen S X
( real You S X
)
rare
real Chou X
less
less
real Zi X
less
(0, 4))
( X K (0, (12)), X K (0, (132))), ( K X (1, (12)), K X (1, (132))),
j
S
less
Thus
(0, 2)), ( K X
(1, 3), K X
(0, 3)),
( X (0, e), X (0, (23))), ( X S x (1, e), X S x (1, (23))),
real You S X real Shen S X
rare
(0, 0)), ( X S (1,1), X S (0,1)),
Because the liking relationship cannot change the transfer
law of the order of the killing relation, so, by Theorem 3.3 in
Zhang [23], Yang is transferring along the order of the killing
or liking relation of the ten heavenly stems. Yin is transferring
along the order of the killing or liking relation of the ten
heavenly stems. It completes the proof.#
Proof of Theorem 3.5. See Figure 3., in the Jingluo system
or the twelve Earthly Branches model for an unhealthy
economy, only both the liking relation and the alternate
relation have the transfer law of the Yang or Yin vital or
righteousness energies.
By Property 3.4, the following relation cost (0,(23)) is low.
less
rare
(1, 4), S
X
K
2
real Wei X Sj real Wu X Sj
less
(1, 2), X
model V . Their relations are called the liking relation.
less
rare
X
(1, 0), X
It is because the element (1,0) of the ten Heavenly Stems is a
Tao force, which is a low cost if the Yin Yang Wu Xing model
5
V is implemented by the Tao force of the Tao
less
rare
K
((0,1), (1,1)), ((1,1), (0,1)), ((0, 2), (1, 2)),
((1, 2), (0, 2)), ((0, 3), (1, 3)), ((1, 3), (0, 3)),
((0, 4), (1, 4)), ((1, 4), (0, 4))}.
real You S X
real Shen S X
rare
( 2,5)
R(1,0
{((0, 0), (1, 0)), ((1, 0), (0, 0)),
)
real Xu X Sx
less
X S X K K X ( S X ) X
X
.
Because the order
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Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)
relationship. It is because the liking relationship cannot
change the transfer law of the order of the killing or liking
relation.
In mathematics, by Theorem 3.3 in Zhang [23], for the
unhealthy economy, the transfer law of the Yin vital energies
of the twelve earthly branches is as follows:
Mao
Zi
K X (1,(12))
Yin
K X (1,(132))
Shen
S X (0,(13))
You
S X (0,(123)
X (0,e)
Chou
X (0,(23))
Chen
X K (0,(12))
X K (0,(132))
Hai
X S j (1,(13))
X S j (1,(123))
where c 1 , if you increase the energy of the subsystem
X directly, then its capabilities of both intervention reaction
and self-protection can make the subsystems S X , K X and
Si
Wei
Wu
from the virtual disease of its son X S for a good
self-protection
ability.
Consider
whether
the
subsystem X virtual disease, the cause of its root-cause will
be able to direct the subsystem X treatment. In the following,
consider the result of the subsystem X direct intervention.
From Theorem 3.2 and Corollary 3.2 in [20], the subsystem
X was considered as virtual. When the capability of
self-protection is nearly to the best state, i.e., 3 c ( x)
X K restored at the same time, but the subsystems X and
X S x (1,e)
X S will increase their energies, i.e., changed by the
increments
( X ) 2 (1 ( x )3 ) 0,
( X S ) 2 ( ( x ) ( x )3 ) 0,
respectively.
Since the RPI inflation rate x a makes 0 1 ( x) 0
Xu
X S x (1,(23)) .
It is because the order
KX X X K SX X S
is transferring along the killing order of the twelve earthly
branches.
Similarly, Yang is transferring against the order of the killing
or liking relationship. So, the transfer law of the Yang vital or
righteousness energies of the twelve earthly branches is
transferring against the order of the killing or liking
relationship. It is because the liking relationship cannot
change the transfer law of the order of the killing or liking
relation.
In mathematics, by Theorem 3.3 in Zhang [23], for the
unhealthy economy, the transfer law of the Yang vital
energies of the twelve earthly branches is as follows:
Hai
Mao
K (1,(12))
X
Yin
X
K (1,(132))
Shen
X
S (0,(13))
You
S X (0,(123)
X
Xu
X
x
S
x
S
(1,e)
(1,(23))
X (0,(12))
K
X K (0,(132))
the
small
increment
attaining way is an indirect treating for X as an unhealthy
economy with a virtual disease. That means for the intervened
subsystem X direct treatment effect is in accordance with the
working principle of system and meridian system. So say: the
subsystem X deficiency disease is why disease at this time.
Thus, the subsystem X itself is the root-cause of a virtual
disease. Of course, the son subsystem X S of X is the symptoms
Wu
X S j (1,(123))
Zi
X (0,e)
Chou
of disease at this time. Need to use the method of the
intervening principle of “Strong inhibition of the same time,
support the weak” (抑强扶弱) action to treat.
X (0,(23)) .
It is because the order
KX X S SX X K X
(2) By the (2) of Theorem 4.1 in Zhang [23],
is transferring against the killing order of the twelve earthly
branches. It completes the proof.#
Proof of Theorem 4.1. Let
X
and S X as
continuous subsystems of occurring disease, it only need to be
proved that the mother S X of subsystem X is the root-cause of
a 0.8789%, b 5.2241%, t0 2.7047%.
X
get
3
X S j (1,(13))
(1) By the (1) of Theorem 4.1 in Zhang [23],
will
( X S ) 2 ( ( x) ( x) ) 0. The later is
the pseudo side effects issue, by Attaining Rule in Zhang [23],
which is just the food of the second physiological system of
the steady multilateral system since that the economy is
unhealthy, virtual and X intervened makes that the second
physiological system will attain the Chi or energy (Yang
energy) from the son X S of the intervened subsystem X The
XS
Wei
Chen
Si
such that ( ( x) ( x)3 ) (1 ( x)3 ) , therefore the
subsystem X can
obtain
the
large
increment
( X ) 2 (1 ( x)3 ) 0 and the subsystem
a virtual disease and the subsystem X itself is the symptoms of
a virtual disease at this time.
In this case, the economy is healthy. The first physiological
system is running normally. The loving relationship is running
normally. The liking relationship is also running normally. By
Theorems 3.2 and 3.3, the first transfer law of economy
energies is doing to work. By Theorems 3.4 and 3.5, the
second transfer law of economy energies is not to work.
By the theory of Zangxiang and Jingluo in Definition 3.1 and
3.2, the virtual disease of the subsystem X is transferring
from the virtual disease of its mother S X for a good
and X K as
continuous subsystems of occurring disease, it only need to be
proved that the subsystem X itself is the root-cause of a virtual
disease and that the son subsystem X S of X is the symptoms
of disease at this time.
In this case, the economy is unhealthy. The first physiological
system is running hardly. The loving relationship is running
hardly. Only the killing relationship run normally.
By Theorems 3.2 and 3.3, the first transfer law of economy
energies is not to work. By Theorems 3.4 and 3.5, the second
transfer law of economy energies is beginning to work.
By the theory of Zangxiang and Jingluo in Definition 3.1 and
3.2, the virtual disease of the subsystem X is transferring
self-protection ability. Consider whether the mother S X of the
subsystem X virtual disease, the cause of its root-cause will
58
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International Journal of Engineering and Technical Research (IJETR)
ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
be able to direct the mother S X of the subsystem X treatment.
be able to direct the son X S of the subsystem X treatment. In
In the following, consider the result of the mother S X of the
the following, consider the result of the son X S of the
subsystem X treatment direct intervention.
From Theorem 3.2 and Corollary 3.2 in [20], the
subsystem X will be considered as virtual. First the case is
studied that the capability of self-protection is in the best
state,
i.e.,
3 c ( x) ( x) 1 0 where
subsystem X treatment direct intervention.
From Theorem 3.2 and Corollary 3.2 in [20] , the subsystem
X will be considered as real. First the case is studied that the
capability of self-protection is in the best state, i.e.,
3 c ( x) ( x) 1 where c 1 . If the
c 1 . If the energy of the subsystem S X is intervened to
energy of the subsystem X S is intervened to decrease its
increase its energy, then its capabilities of intervention
reaction and self-protection can make the subsystems K X ,
energy, then its capabilities of intervention reaction and
self-protection can make the subsystems X K , K X and S X
X K and X S restored at the same time, but the subsystems S X
and X will increase their energies, i.e., changed by the
restored at the same time, but the subsystems
( S X ) 2 (1 ( x)3 ) 0,
increments
( X ) 2 ( ( x) ( x)3 ) 0,
respectively.
Since the
RPI
inflation
rate
a x t0
( S X ) 2 (1 ( x)3 ) .
and X S will
respectively. Since the RPI inflation rate t0 x b makes
1 1 ( x) 0 such that mainly ( ( x) ( x)3 ) (1 ( x)3 ) ,
makes
1 1 ( x) 0 such that mainly ( ( x) ( x)3 ) (1 ( x)3 ) ,
therefore the subsystem X can obtain the large increment
( X )2 ( ( x) ( x)3 ) 0 and the subsystem S X will get
the small increment
X
decrease their energies, i.e., changed by the increment
( X ) 2 ( ( x) ( x)3 ) 0,
( X S ) 2 (1 ( x)3 ) 0,
therefore the subsystem X can obtain the substantial
reduction ( X )2 ( ( x) ( x)3 ) 0 and the subsystem
will
get
a
modest
reduction
X
S
( X S ) 2 (1 ( x)3 ) 0 .
The later is the
The later is the pseudo side
effects issue, by Attaining Rule in Zhang [23], which is just
the food of the second physiological system of the steady
multilateral system since that the economy is healthy, real and
X S intervened makes that the second physiological system
pseudo side effects issue, by Attaining Rule in Zhang [23],
which is just the food of the second physiological system of
the steady multilateral system since that the economy is
healthy, virtual and S X intervened makes that the second
will attain the Chi or energy from the intervened subsystem
X S directly for a healthy with a real disease. That means for
physiological system will attain the Chi or energy from the
intervened subsystem S X directly for a healthy with a virtual
the intervened subsystem X S direct treatment effect is in
disease. That means for the intervened subsystem S X direct
accordance with the working principle of system and meridian
system. So say: the subsystem X S real disease is why disease at
treatment effect is in accordance with the working principle of
system and meridian system. So say: the subsystem S X
this time. Thus, the son subsystem X S of X is the root-cause
deficiency disease is why disease at this time. Thus, the
mother subsystem S X of X is the root-cause of a virtual
of a real disease. Of course, the subsystem X itself is the
symptoms of a real disease at this time. Need to use the
method of the intervening principle of “Strong inhibition of
the same time, support the weak” (抑强扶弱) action to treat.
disease. Of course, the subsystem X itself is the symptoms of a
virtual disease at this time. Need to use the method of the
intervening principle of “Strong inhibition of the same time,
support the weak” (抑强扶弱) action to treat.
(4) By the (4) of Theorem 4.1 in Zhang [23], X and K X as
continuous subsystems of occurring disease, it only need to be
proved that the subsystem X itself is the root-cause of a real
disease and that the mother S X of X is the symptoms of a real
(3) By the (3) of Theorem 4.1 in Zhang [23], X and X S as
continuous subsystems of occurring disease, it only need to be
proved that the son X S of X the root-cause of a real disease
disease at this time.
In this case, the economy is unhealthy. The first
physiological system is running hardly. The loving
relationship is running hardly. Only the killing relationship is
running normally. By Theorems 3.2 and 3.3, the first transfer
law of economy energies is not to work. By Theorems 3.4 and
3.5, the second transfer law of economy energies is beginning
to work.
By the theory of Zangxiang and Jingluo in Definitions 3.1
and 3.2, the virtual disease of the subsystem X is transferring
from the real disease of its mother S X for a good
and the subsystem X itself is the symptoms of a real disease
at this time.
In this case, the economy is healthy. The first physiological
system is running normally. The loving relationship is running
normally. The liking relationship is also running normally. By
Theorems 3.2 and 3.3, the first transfer law of economy
energies is doing to work.By Theorems 3.4 and 3.5, the
second transfer law of economy energies is not to work.
By the theory of Zangxiang and Jingluo in Definitions 3.1
and 3.2, the virtual disease of the subsystem X is transferring
from the virtual disease of its son X S for a good
self-protection
ability.
Consider
whether
the
subsystem X virtual disease, the cause of its root-cause will be
able to direct the subsystem X treatment. In the following,
self-protection ability. Consider whether the son X S of the
subsystem X virtual disease, the cause of its root-cause will
59
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RPI for the Wood Subsystem based on Zangxiang and Jingluo– Mathematical Reasoning of Economic Intervening
Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)
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consider the result of the subsystem X treatment direct
intervention.
From Theorems 3.2 and Corollary 3.2 in [20], the subsystem
X was considered as real. When the capability of
self-protection
is
in
the
best
state,
i.e.,
3 c ( x) ( x) 1 where c 1 , if the energy of
the subsystem X is intervened to decrease its energy directly,
then its capabilities of intervention reaction and
self-protection can make the subsystems X K , K X and X S
restored at the same time, but the subsystems
X
and S X will
( X ) 2 (1 ( x )3 ) 0,
decrease their energies, i.e., changed by the increments
( S X ) 2 ( ( x ) ( x ) 3 ) 0,
inflation
rate
x b makes
such
that
0 1 ( x) 0
( ( x) ( x)3 ) (1 ( x)3 ) ,
therefore the subsystem X can obtain the substantial reduction
( X )2 (1 ( x)3 ) 0 and the subsystem S X will get a
respectively.
Since
the
RPI
modest reduction ( S X ) ( ( x) ( x)3 ) 0 . The later is
the pseudo side effects, by Attaining Rule in Zhang [23],
which is just the food of the second physiological system of
the steady multilateral system since that the economy is
unhealthy, real and X intervened makes that the second
physiological system will attain the Chi or energy from the
mother S X of the intervened subsystem X . The attaining way is
an indirect treating for X as an unhealthy economy with a real
disease. That means for the intervened subsystem X direct
treatment effect is in accordance with the working principle of
system and meridian system. So say: the subsystem X real
disease is why disease at this time. Thus the subsystem X is
the root-cause of a real disease. Of course, the mother
S X of X is the symptoms of a real disease at this time. Need to
use the method of the intervening principle of “Strong
inhibition of the same time, support the weak” (抑强扶弱)
action to treat. It completes the proof.#
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ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
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