International Journal of Engineering and Technical Research (IJETR)
ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
AAF for the xiang-Fire Subsystem based on Six Jiazi
and Eight Palaces -Mathematical Reasoning of
Economic Intervening Principle Based on Yin Yang
Wu Xing Theory in Traditional Chinese Economics
(V)
Yingshan Zhang
Abstract— Theory of Sixty JiaZi (60 子 ) 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: seize the momentum of development，
hasten lucky avoids disaster” (顺势而为,趋吉避凶). It means
that for the economic society, there is the mathematical
structure of Sixty JiaZi as the second physiological system of a
steady multilateral system. It is used to predict the development
of the corresponding subsystem based on 60 Jiazi numbers.
People should be according to its momentum of development,
hasten lucky avoids disaster. Theory of Eight palaces is to
determine the root-cause of the sick system based on the six
indexes of comprehensive judgment. It is the base of Six Jiazi.
The six indexes are PPI (the Producer Price Index), AAF (The
total output value of Agriculture forestry Animal husbandry
and Fishery), CPI(the Consumer Price Index), GBR(the
General Budget Revenue), GDP (the Gross Domestic Product),
and Finance (the right of making money), simple namely
PACGGF. The first or second transfer law of economic society
energies of Sixty JiaZi changes according to the different
PACGGF inflation rates of economic society whether in the
normal range or not. Assume that the range of one of PACGGF
inflation rates 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. An
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 AAF
inflation rate can be used for the xiang-fire subsystem how to do
works based on to predict the root-cause of steady multilateral
systems by using Sixty Jiazi.
Index Terms— Traditional Chinese Economics (TCE), Yin
Yang Wu Xing Theory, steady multilateral systems,
incompatibility relations, side effects, medical and drug
resistance problem
Yingshan Zhang, School of Statistics, Faculty of Economics and
Management, East China Normal University,Shanghai,P. R. China
I. INTRODUCTION
Theory of Sixty JiaZi (60 子) is useful in understanding
economic disease. It is used to predict the development of the
corresponding subsystem based on 60 Jiazi numbers. People
should be according to the its momentum of development,
hasten lucky avoids disaster. Theory of Eight palaces is to
determine the root-cause of the sick system based on the six
indexes of comprehensive judgment. It is the base of Six Jiazi.
Sixty JiaZi is the largest and earliest inventions of the
Chinese nation. JiaZi 60 calendar, is the purpose of the oldest,
ji-year, ji-month, ji-day and ji-two-hours. A cycle calendar of
ji-year for 60 years, one period of ji-month for 5 years, a cycle
of ji-day for 60 days, a cycle of ji-two-hour for five days. In
the ancient Chinese calendar, the set of Jia( )、Yi(乙)、
Bing(丙)、Ding(丁)、Wu(戊)、Ji(己)、Geng(庚)、Xin(辛)、
Ren(壬)、Gui(癸) referred to as “the ten heavenly stems”, the
set of Zi(子)、Chou(丑)、Yin(寅)、Mao(卯)、Chen(辰)、
Si(巳)、Wu(午)、Wei(未)、Shen( )、You(酉)、Xu(戌)、
Hai(亥) is called “the twelve earthly branches”. By using “the
ten heavenly stems” and “the twelve earthly branches”, the
ancients expressed in Chinese era to year, month, day, and
two-hour, like four pillars hold up the building of “time”, so
called the four pillars.
The ten heavenly stems loop combination and the twelve
earthly branches: JiaZi, YiChou, BingYin,..., until the
Gui-Hai, received 60 combinations, known as sixty JiaZi, so
the cycle, endless. Each cycle of year, month, day, and
two-hour is 60. In the field of time is a wonderful digital
60.Ancient Chinese use 60 as a cycle, not only in western
timing method, a minute is 60 seconds, an hour is 60 minutes.
Don't just coincidence? Likewise, in 24 hours a day, and the
Chinese traditional 12 two-hour periods of the day (two hours
is a big hour, called a ShiChen (时辰) ) corresponding to
China for five days as a ShiChen of circulation, the so-called
“5 a syndrome”, is a total of 60 ShiChens. The Taoist belief in
god's sixty stars, namely JiaZi 60 days on duty sixty gods.To
match with heavenly and earthly branches circulation as
calling the name of gods.
Eight-hexagram is one of the basic philosophical concepts,
the ancient Chinese nationality is an ancient theory of Yin and
Yang, the so-called Eight-hexagram is the eight diagrams,
Eight-hexagram is by taeho bokhi ( 昊伏羲氏) surname,
namely fuxi (伏羲) painted, Eight-hexagram is one of the
earliest text, text symbols. Eight-hexagram on behalf of the
Yi-Jing (周易) culture, penetrating in the areas of east Asian
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AAF for the xiang-Fire Subsystem based on Six Jiazi and Eight Palaces -Mathematical Reasoning of Economic
Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (V)
cultures. According to the Chinese nationality folk legend,
Eight-hexagram originated in the first of three sovereigns of
the fuxi (伏羲), fuxi (伏羲) in tianshui (天水) taishan (台山)
starting painting Eight-hexagram, a heaven. Changing system
of Yin and Yang Eight-hexagram said thing itself, with “1” on
behalf of Yang, with “-1” represents Yin, with two such
symbols, according to the change of Yin and Yang of parallel
combination of nature, composed of eight different forms, is
called a Eight-hexagram. For Eight-hexagram don't have too
much mystery, it in the Chinese nationality culture like Yin
and Yang, Wu Xing used to exercise the world space time the
tools of all kinds of things. Each of bodies represents a certain
number of things. On behalf of the heaven, Qian ( 乾 )
represents, Kun (坤) on behalf the earth, Xun (巽) on behalf
of the wind, Zhen (震) on behalf of the thunder, Kan (坎) on
behalf of the water, Li (离) on behalf of the fire, Gen (艮) on
behalf of the mountain, Dui(兑) on behalf of the marsh, the
representative. Eight-hexagram like eight infinite invisible
big pocket, put everything in the universe, and went in,
Eight-hexagram match each other again into sixty-four
hexagrams. The 64 hexagrams clustering get eight palaces
according to the same disposition, used to symbolize various
natural phenomena and human phenomenon, based on
various things in today's society people. Eight-hexagram in
the traditional Chinese medicine refers to the surrounding
palm around the floorboard of the eight parts.
Eight Palaces is a general mathematical structure as the
second physiological system of a steady multilateral system. It
is to determine the root-cause of the sick system based on the
six indexes of comprehensive judgment. The six indexes are
the PPI(the Producer Price Index) in Su etc [1], AAF (The
total output value of Agriculture forestry Animal husbandry
and Fishery) in Wang etc [2], CPI (the Consumer Price Index)
in Crone etc [3], GBR (the General Budget Revenue) in
Boskin [4] , GDP (the Gross Domestic Product) in Ahmed etc
[5], and Finance (the right of making money) in Temitope [6],
simple namely PACGGF. There is also an index of the RPI
(Retail Price Index) in Levell [7]. An example will be used:
substitute RPI for PPI strange through eight veins of logical
analysis, the analysis conclusion there will be no big changes.
The PACGGF of Eight Palaces or Eight Veins are six
general parameters linking together the complexity of
relations between subsystem pairs of an economic social
system, an 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 six parameters as PACGGF
are as useful in understanding an economic disease as the
average is in statistics, or as the expected value is in
probability calculation.
An economic social system identifies an important indicator
for an economic social system health: the value of finance
inflation rate, which, under normal conditions, ranges from
3% to 6%.There are a lot of evidences (e.g., experimental
identification for probability and real applications) to support
this viewpoint, such as, Temitope [6], Gupta etc [8],
Nicholas[9], Ouyang etc [10],Tom [11], and so on.
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 [3],
Pauhofova etc [12],Funke etc [13], Formica etc [14], and so
on.
All the normal ranges of other indexes can be found from the
normal ranges of the CPI inflation rate by using the relations
between the corresponding index and CPI. For example, Su,
etc [1], Wang etc [2], Boskin [4], Ahmed etc [5], Levell [7],
and so on.
Use of YIN YANG WU XING theory, the following results
can be obtained.
The main purpose of PPI is in measuring all kinds of changes
in price of goods in different of production. It belongs the
“industry” of the subsystem wood( X ). The normal range of
the PPI inflation rate is [a1 , b1 ] [0.7362%, 6.4920%] nearly to
[a01 , b01 ] [1%,6%] .
The values min 0.1 and max 0.65 are the minimum
and maximum acceptable the PPI inflation rate. And the
1
center value is t01 =3.1359% nearly to t0*
3% . It is the
target as the expectation of the PPI inflation rate.
Ecological-economic output of AAF refers to currency
performance of farming, forestry, animal, husbandry and
fisheries to the total volume of products, it reflects the total
dimensions and total result of agricultural production during a
given period. It belongs the “agriculture” of the subsystem
x
xiang-fire( X S ). The normal range of the AAF inflation rate is
[a 2 , b2 ] [7.7473%,18.460%] nearly to [a02 , b02 ] [8%,18%] . The
values min 0.1 and max 0.81 are the minimum and
maximum acceptable the AAF inflation rate. And the center
2
value is t02 =12.269% nearly to t0*
12% . It is the target
as the expectation of the AFAHF inflation rate.
The main purpose of CPI is a measure of a fixed basket of
consumer goods prices, mainly to reflect the price change of
the consumers pay for goods and services, is also a kind of
measuring the level of inflation tools, in the form of
percentage change of expression. It belongs the “commerce”
of the subsystem earth( X K ).The normal range of the CPI
inflation rate is [a3 , b3 ] [1.8828%,5.2216%] nearly to
[a03 , b03 ] [2%,5%] . The values min 0.05 and
max 0.6 are the minimum and maximum acceptable the
inflation rate. And the center value is
3
t =3.2741% nearly to t0*
3% . It is the target as the
expectation of the CPI inflation rate.
The main purpose of GBR is a source of revenue, and
planned and organized by the national budget and included in
the budget management of funds. The general budget revenue
is with the original “financial budget accounting system” in
the corresponding concept of “budget”. It belongs the “public
facilities” of the subsystem metal( K X ). The normal range of
CPI
3
0
the GBR inflation rate is [a 4 , b4 ] [8.956%, 20.079%]
nearly to [a04 , b04 ] [9%, 20%] . The values min 0.1
and max 0.81 are the minimum and maximum
acceptable the GBR inflation rate. And the center value is
4
t04 =13.705% nearly to t0*
13% . It is the target as the
expectation of the GBR inflation rate.
The main purpose of GDP refers to in a certain period (a
quarter or a year), the economy of a country or region to
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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
produce the value of all final goods and services, is often
recognized as the best indicators of national economy. It not
only can reflect a country's economic performance, also can
reflect a country's national power and wealth. It belongs the
“economics” of the subsystem water( S X ). The normal range
[a5 , b5 ] [8.956%, 20.079%]
of
the
GDP
inflation
rate
nearly
is
to
[a05 , b05 ] [9%, 20%] . The values min 0.1 and
max 0.81 are the minimum and maximum acceptable the
5
t05 =10.208% nearly to t0*
10% . It is the target as the
GDP
inflation
rate.
And
the
center
value
is
expectation of the GDP inflation rate.
The main purpose of Finance is a measure of a money
change or the ratio of money more part and the actual need of
money, mainly to reflect the degree of inflation and currency
depreciation. It belongs the “Governor, right of making
money” of the subsystem jun-fire( X S ) . The normal range of
j
[a , b ] [2.9515%, 6.1002%]
the
6
Finance
6
inflation
rate
nearly
is
to
[a06 , b06 ] [3%, 6%] . The values min 0.03 and
max 0.65 are the minimum and maximum acceptable the
inflation rate. And the center value is
6
6
t0 =4.2359% nearly to t0*
4% . It is the target as the
Finance
expectation of the Finance inflation rate.
Teach of the RPI 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. It also belongs the “industry” of the subsystem
wood( X ).The normal range of the RPI inflation rate is
nearly
to
[a1' , b1' ] [0.8789%, 5.2241%]
[a01' , b01' ] [1%,5%] . The values min 0.08 and
max 0.6 are the minimum and maximum acceptable the
inflation rate. And the center value is
1'
3% . It is the target as the
t =2.7047% nearly to t0*
RPI
1'
0
expectation of the RPI inflation rate.
Thus the economic social system identifies some important
indicators for an economic social system health: the value of
one of PACGGF inflation rates, which, under normal
conditions, ranges from ai to bi
(i 1 or 1', 2, ,6) .
Outside this range (low: Yin condition; high: Yang
condition), an economic disease appears. Almost always,
when there is an economic disease, the condition of inflation
rate is a Yin condition, little is a Yang condition.
If the one of PACGGF 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 one of PACGGF 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
price increase, your money value drops. That is to say, a
100-yuan notes, only can buy the price $97.70 worth of foods.
Generally for any given i , when one of the PACGGF
inflation rates a0i , it is called plus, is INFLATION. And
when one of the PACGGF inflation rates b0i , it is treated as
a SERIOUS plus, is a SERIOUS INFLATION.
In this paper, the rate of inflation as the level rises can be
considered rather than the currency quantity rises from the
basic concept of one of six indexes PACGGF. It is because
the six indexes PACGGF are the direct reflection of living
standards, although the level increase is difficult to be
controlled directly.
In this article, the main concern AAF index of theoretical
analysis and practical application for the xiang-fire( X )
subsystem of steady multilateral systems.
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), the gross domestic product (GDP), the
gross national product (GNP) as conversion price index, the
general budget revenue (GBR), and the total output value of
Agriculture forestry Animal, husbandry and Fishery (AAF),
etc. In order to examine a country's power of agriculture
(including forestry, animal, husbandry and fisheries ), general
use of AAF, its formula is as follows:
AAF Q1t P1t Q2t P2t ... Qnt Pnt ,
(1)
where the type of digital and t , n is the number in the
subscript, Q* in (1), on behalf of the production of all kinds of
the product of farming, forestry, animal, husbandry and
fisheries, P* in (1), on behalf of all kinds of the price of the
product of farming, forestry, animal, husbandry and fisheries.
Both the rate of AAF inflation and the AAF are two different
concepts. Calculation method of the rate of AAF inflation
through the calculation of the AAF changes:
The rate of AAF inflation (price rises)
current price level - base price level
base price level
100%,
(2)
where the price rise level from low to high, to base the level of
foods 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 AAF inflation is not a price
index, which is not a price rise, but the price index to rise. The
AAF inflation rate is the government measure of inflation one
of the data. Popular speaking, the AAF is the price of all foods
as the product of farming, forestry, animal, husbandry and
fisheries 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 AAF be met. The AAF is to
reflect the power of agriculture (including forestry, animal,
husbandry and fisheries ), related to all foods calculated price,
usually observed inflation as an important indicator.
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 six indexes PACGGF
levels, the economic disease may become chronic and lead to
dire consequences.
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AAF for the xiang-Fire Subsystem based on Six Jiazi and Eight Palaces -Mathematical Reasoning of Economic
Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (V)
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.
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 a 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
self-protection coefficient
3 as parameters with due
accuracy.
In this paper, the introduction of a parameter such as one of
six indexes PACGGF inflation rates 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 . This paper
3 0
poor healthy balance conditions holding:
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 , 2 ( 0 )2 0.46557123 and 3
II. PARAMETER MODEL AND BASIC THEOREMS
The concepts and notations in Zhang etc [21] are start and still
used.
Let ( 5 1) / 2 0.61803399 be the gold
0 0.5897545123 , namely healthy
number. It is because the healthy number 0 can make the
healthy balance conditions 1 3 , 2 13 and
1 2 3 1 2 3 hold if 1 0 , 2 02 and
number. Denoted
0 0 .
Thus
1
0 .
2
A parameter model of the one of six indexes PACGGF
inflation rates in a mathematical sense based on Yin Yang Wu
Xing Theory of TCE is reintroduced by using the functions
( x) and ( x) of the one of PACGGF inflation rates x
described as follows.
Let x (min, max) be the one of six indexes PACGGF
inflation rates, where the values min and max are the
minimum and maximum acceptable the one of PACGGF
inflation rates. Denoted the center value t0 is the target as the
expectation of the one of PACGGF inflation rates. Define a
function ( x) of the one of PACGGF inflation rates x in
below:
( x)
| x t0 |
, x (min, max)
(max x)( x min)
x t0
(max x)( x min) , max x t0 ;
t0 x
, min x t0
(max x)( x min)
3 through the introduction of a
parameter model to study the normal range of PACGGF
inflation rates, while the first or second transfer law of
economic society energies is demonstrated in Section 3,
through the concept of both relation costs and a relationship
analysis of the Sixty JiaZi and Eight Palaces. Furthermore, it
will be done to predict the development of the corresponding
wood( X ) subsystem based on 60 Jiazi numbers. If the range
of the AAF inflation rate, as one of PACGGF inflation rates,
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 AAF inflation rate can be used for
the wood subsystem how to do works based on to predict the
root-cause of steady multilateral systems by using Sixty Jiazi
in Section 5 and conclusions are drawn in Section 6.
0 0.68232780, namely
Assuming
unhealthy number. It is because under a poor self-protection
ability, the unhealthy number 0 can make the following
ventures to suggest this with all due to respect, because it is
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 an 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
self-protection coefficient
.
(3)
A parameter model is considered as
( x)
1/ 2
, x (min, max).
( x) 1/ 2
(4)
Theorem 2.1 Under model (4), the following statements
hold.
(1)
The
one
that
0 ( x)
equivalent to the other that
0 ( x)
1/ 2
1 is
( x) 1/ 2
1 ( x)
,
2 ( x)
( x) is a monotone decreasing function of x if
x (min, t0 ] or a monotone increasing function of x if
x [t0 , max) ; 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
1 ( x) 1 0
( x)
02 ( x) 2 1;
2 ( x)
2 0
( x) 1 ( x) 1 0
and
0 ( x) 1;
2 02
( x) 2 ( x) 2
( x) 1 ( x ) 1 0
1.
( x) 2 2 ( x) 3
2 03
where
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(3)
If
0 ( x) 0
International Journal of Engineering and Technical Research (IJETR)
ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017
,
then
1 ( x) 1 0
( x)
02 ( x) 2 0;
2 ( x)
2 0
( x) 1 ( x) 1 0
0 ( x) 0;
2 02
( x) 2 ( x) 2
1 ( x ) 1 0
( x)
1.
( x) 2
2 ( x) 3
2 03
interval
and
Taking
0 1 ( x) 0 , 2 ( x) 2
where
there
0 c 1 ,
| ( 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
Taking
1 1 ( x) ( x)
1 in which
0c
2 2 ( x)3 ( x) 2
respectively
[ 03 0.20512, 0)
1
1 ( x) ( x)
c
1 in which 0 ( x) 0 . #
2
2 ( x)3 ( x) 2
1 ( x)
( x)
0;
3
( x) 2
2 ( x)
secondly,
1 c
1 ( x)
(u) (v) (1 d ) / (2d ),
2 ( x)
1/ 2
(u ) (v) d ( x)
1 (t0 ).
( x) 1/ 2
(t0 ) 0 ( x)
(2) The condition x [a0 , b0 ] is equivalent to each of the
following conditions:
(t0 ) 0 ( x)
( 1 2 3 ) ( x) c ( x)3 1 2 3 1 c ( x)3
and
| ( 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
range
to
meet
if
1 3 ( x)(1 c) ( x) / 2, 2 13 ( x)2 (1 c) ( x)2 / 2
1 (t0 ).
( x) 1 / 2
(3) The condition x [a , b ] is equivalent to each of the
( 1 2 3 ) ( x) c ( x)3 1 2 3 1 c ( x)3
| ( 1 2 3 ) (1 2 3 ) | 2 0.41024
1 1 ( x) ( x)
0c
1 in which 0 ( x) 0 ;
2 2 ( x)3 ( x) 2
finally, 1 3 ( x)(1 c) ( x) / 2, 2 13 ( x)2 (1 c) ( x)2 / 2 and
inequality
range
to
3
0
meet
if
( 1 2 3 ) ( x) c ( x) 1 2 3 1 c ( x)
3
3
if
| ( 1 2 3 ) (1 2 3 ) | ( 0 )3 0.31767
1
1 ( x) ( x)
c
1 in which 0 ( x) 0 .
2
2 ( x)3 ( x) 2
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 an
where
this
inequality
range
to
1 ( x)
1
(a ) (b )
0.30902,
2 ( x)
2
following conditions:
(t0 ) 0 ( x)
(a ) (b ) ( x)
1 (t0 ).
( x) 1/ 2
(4) The condition x [a, b] is equivalent to each of the
following conditions:
1/ 2
1 ( x)
(a) (b)=02 0.34781,
2 ( x)
1/ 2
(a) (b) 0 ( x)
1 (t0 ).
( x) 1 / 2
and
this
1/ 2
(t0 ) 0 ( x)
thirdly,
where
1 ( x)
(a0 ) (b0 ),
2 ( x)
(a0 ) (b0 ) ( x)
1 3 ( x)(1 c) ( x) / 2, 2 13 ( x)2 (1 c) ( x)2 / 2
inequality
if
Corollary 2.1 Under model (4), the following statements
hold.
(1) For any 0 d 1 , there is an unique solution
u (min, t0 ) and there is also an unique solution
and
1 3 ( x)(1 c) 0, 2 13 ( x)2 (1 c) 0 and
( 1 2 3 ) ( x) c ( x)3 1 2 3 1 c ( x)3 if
this
if
v (t0 , max) , such that
2
firstly,
where
0 ( x) 0 .
respectively
(c).The value [( 1 2 3 ) (1 2 3 )] is included in the
and
where
(5)
[ 03 0.20512, 0)
interval
are
3 c ( x)
2
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 ,
(4)
(b). The value [( 1 2 3 ) (1 2 3 )] is included in the
meet
d the 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
2 ( x )3
2
1 ( x) 0 .
(5) The condition x [a, b] is equivalent to each of the
following conditions:
(t0 ) 0 ( x) (a) (b) ( 0 ) 2 / 2 0.23279,
1/ 2
1 (t0 ). #
(a) (b) 0 ( x)
( x) 1/ 2
Theorem 2.1 and Corollary 2.1 can be found in Zhang [23].
Remark 1. In west, through experiment or through practice
observation, many researchers [1-14] can obtain the normal
range of the one of PACGGF inflation rates as x [a0 , b0 ] .
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 economy. Taking 1 ( x), 2 ( x) 2 and
3 c ( x) where 0 c 1 for an economic society
which has the capabilities of both intervention reaction and
self-protection. From Corollary 2.1, the condition
0 1 1 is equivalent to that x [a, b] . In other words,
in Theory of TCE, the normal range of the one of PACGGF
inflation rates is considered as x [a, b] , nearly to
x [a0 , b0 ] . Of course, little difference of the two intervals
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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 instead of the
normal range of the one of PACGGF inflation rates. 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 economic complex system when the
intervention reaction coefficient 1 satisfies 1 1 0 .
1 2 is near to 1
In logic and practice, it's reasonable that
if the input and output in a complex system is balanced, since
an economic output subsystem is absolutely necessary other
subsystems of all consumption. In case: 1 2 1, all the
energy for intervening an economic complex subsystem can
transmit to other economic complex subsystems which have
neighboring relations or alternate relations with the
intervening economic complex subsystem. The condition
1 0 can be satisfied when 2 13 and 3 1 for
1 2 1 implies
.
In
this
case,
1 0.61803 0
2
2 0.38197 . If this assumptions is set up, then the
an economic complex system since
intervening principle: “Real disease with a healthy economy
is to rush down its son and virtual disease with a healthy
economy is to fill its mother” based on “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 economic complex system, i.e., 3 is small. A
common standard is 3
1 1 1
which comes from the
22
2
balance condition (1 2 3 ) ( 1 2 3 ) of the loving
relationship if
1 2 1 . In other words, there is a
principle which all losses are bear in an economic complex
system. Thus the general condition is often
1 0.61803 3 0.5 2 0.38197 .
Interestingly, they are all near to the golden numbers.
It is the idea to consider the unhealthy number
0 0.68232780 since the poor condition of
self-protection ability 3 1 / 2 0 / 2 0.34116390 can
make the following unhealthy 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 .
By Theorem 2.1 and Corollary 2.1, the interval
x [a0 , b0 ] implies the following condition
1 1 ( x) (a0 ) (b0 ) ;
and the interval x [a , b ] implies the following condition
1 1 ( x) (a ) (b ) ;
and the interval x [a, b] implies the following condition
1 1 ( x) 0 (a) (b) ,
where
( a ) (b)
1 0
02
2 0
since
(1 03 ) ( 0 03 ) ;
and the interval x [a, b] implies the following condition
1 1 ( x) 0 (a) (b) ,
where
(a) (b)
( 0 )3 (1 0 ) .
1 0
( 0 ) 2
2 0
2
since
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 [a0 , b0 ] . This
shows that range x [a0 , b0 ] is stable. The interval as the
normal range of the one of PACGGF inflation rates may be
also appropriate. To conservative estimates, one of the first
three interval ranges with largest length is used, i.e.,
x [a, b] , as the theoretical analysis of the normal range in
this paper. In fact, the range x [a, b] is better than the range
x [a0 , b0 ]
and (a ) (b)
0 (a) (b)
1 0
02 , which satisfy the healthy
2 0
because
,
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 1 ( x) 0 or the range x [a, b] is the
balance
conditions
healthy condition of both the killing relationship and the
loving relation at the same time. But neither are the others.
The one of PACGGF inflation rates must be precise
calculation to keep at least 6 decimal places can ensure
correct because of its sensitivity to the diagnosis of 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 Economics.
For the normal range of the one of PACGGF inflation rates of
some economic society as x [a, b] , in TCE, if x b , the
economy is considered as a real disease since the one of
PACGGF inflation rates is too high; if x a, the economy is
considered as a virtual disease since the one of PACGGF
inflation rates is too low. Thus TCE identifies an important
indicator for an economic society's health: the value of the one
of PACGGF inflation rates, which, under normal conditions,
ranges from a to b . 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 one of PACGGF inflation rates is a Yin
condition; when there is a real disease, the condition of the
one of PACGGF inflation rates is a Yang condition.#
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III. RELATIONS OF STEADY MULTILATERAL SYSTEMS
3.1 Energy Changes of a Steady Multilateral System
In order to apply the reasoning to other fields rather than
society's health, Zhang etc [21] have started a steady
multilateral system imitating an 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:
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,
and
assume
where
V 5 V05 V15 V25 V35 V45
Vi 5 V j5 , i j (hereinafter
And take 5 {R05 , R15 ,
, R45 }
5
Rr5 Vi 5 Vmod
( i r ,5) , r {0,1,
4
i 0
the same).
satisfying
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
equivalent relation R05 and two incompatibility relations
and
where
R15 ( R45 )1
R25 ( R35 ) 1
5 1
5
( Ri )
{( x, y ) : ( y, x) Ri } is the inverse
relation operation. The Yin and Yang means the two
incompatibility relations and the Wu Xing means the
collection
of
five
disjoint
classification
of
5
5
5
5
5
5 . The model is called
V V0 V1 V2 V3 V4
Yin
Yang
Wu
Xing model, denoted simply by
V {0,1, 2, 3, 4} .
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
5
( 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 v 1 2 3 is called the coefficient
of the vital or righteousness energy. The parameter
e 1 2 3 is called the coefficient of the evil energy.
An economy is called healthy if the vital or righteousness
coefficient v 1 2 3 is greater than or equal to
the evil coefficient e 1 2 3 . Otherwise, the
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
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
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) , T
1
i 0
R {(0, 0), (1,1)}, R12 {(0,1), (1, 0)}.
2
0
he relation multiplication of * is isomorphic to the addition
of module 2. The element 1, or 0 is called a Yang force or
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 be
perceived.
In TCE, it is believed that any Yin Yang Wu Xing complex
system is made up of three types of talent or material to
combined changes. The three types come from the Yin energy
in it‟s a layer Yin Yang Wu Xing system. It is because a lot of
complex systems can be seen as a Yin Yang Wu Xing system.
However, any Yin Yang Wu Xing system is an economy
observation of the objective object in one logic level, it will be
a layer of the Yin Yang Wu Xing system of restriction and
generation. In the Yin Yang Wu Xing system, both wood and
fire are Yang; both earth, metal and water are Yin. So any Yin
Yang Wu Xing system is made by a layer of the Yin Yang Wu
Xing system on its both earth, metal and water generated. For
example, control on a layer of the Yin Yang Wu Xing system
of economy is the nature, Tao, heaven, earth and people
system, so the formation of the economy three materials are
heaven (1), earth (2) and people (3).
The three Tao model can combine forming a steady
multilateral system
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(V 8 , 8 ) (V18
V88 ,{R18 ,
, R88 })
shaoyang (e)(少
is called the Eight-Hexagram (八卦) model, denoted
simply by
V 8 {(1,1,1),(0,1,1),(1,0,1),(0,0,1),(1,1,0),(0,1,0),(1,0,0),(0,0,0)}
Rr8 Vi 8 Vi*8r , r {1, 2,
which satisfies the following conditions:
8
i 1
,8}, Ri8 * R 8j Ri8*r ,
1
2
3
4
5
6
7
8
1
(111)
8
(011)
7
(101)
6
(001)
5
(110)
4
(010)
3
(100)
2
(000)
2
(111)
(000)
7
(100)
8
(010)
5
(001)
6
(001)
3
(010)
4
(011)
1
(111)
(011)
3
(100)
6
(000)
5
(110)
8
(010)
7
(101)
2
(001)
1
(111)
4
(011)
(101)
4
(010)
5
(110)
6
(000)
7
(100)
8
(011)
1
(111)
2
(001)
3
(101)
(001)
5
(001)
4
(010)
3
(100)
2
(000)
1
(111)
8
(011)
7
(101)
6
(001)
(110)
6
(001)
3
(101)
4
(011)
1
(111)
2
(000)
7
(100)
8
(010)
5
(110)
(010)
7
(010)
2
(001)
1
(111)
4
(011)
3
(100)
6
(000)
5
(110)
8
(010)
(100)
8
(011)
1
(111)
2
(001)
3
(101)
4
(010)
5
(110)
6
(000)
7
(100)
(000)
(111)
(011)
(101)
(001)
(110)
(010)
(100)
(000)
i*r
1
2
3
4
5
6
7
8
The number 1, 2,3, 4,5, 6, 7,8 is called the Qian
(乾 ) , Dui (兑 ) , Li (离) , Zhen (震) , Xun (巽) ,
Kan (坎) , Gen (艮) ,Kun (坤) , respectively. The set
of {1, 2,3, 4,5, 6, 7,8} is called the Eight-Hexagram
(八卦) system.
On the other hand, the three types heaven (1), earth (2) and
people (3) to any change combine forming the Telluric
effluvium model as follows:
The steady multilateral system
(V 6 , 6 ) (V16
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)
1 e
2 (12)
3 (13)
6 (132)
5 (123) 5 (123)
4 (23)
6 (132) 6 (132)
3 (13)
3 (13)
4 (23)
5 (123) 6 (132)
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)
3 (13)
4 (23)
, 6},
4 (23)
1 e
2 (12)
1 e
2 (12)
1 e
5 (123)
The number 1, or 2, or 3, is called the tengen ( 元) , the
earth 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 (宗气) ,
respectively. Another name is respectively
jueyin ((23)) (厥
), yangming ((12)) (
明), taiyang ((13)) (
), shaoyin ((123)) (少
), taiyin ((132)) (
),
).
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
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
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
fruits
; Storage of these four energies
结
known
as the four seas 四海 ; Energy
M1 , M 2 , M 3 , M 4 ,
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
is
from
its
root
(root-causes)
e,(12),(13),(23),(123),(132),
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
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};
xiang-fire( X Sx )={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};
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earth( X K )={ commerce, CPI (the Consumer Price Index),
spleen, stomach, willing, meat, sweetness, center, long
summer, combined};
metal( K X )={science-education, GBR (the General Budget
Revenue), lung, large intestine, boldness, fur, spicy, west,
autumn, accept};
water( S X )={army-economic,GDP (the Gross Domestic
Product), kidney, bladder, ambition, bone, salty, the north,
winter, hiding};
jun-fire( X Sj )={President or Governor, Finance (right of
making money), heart, small intestine, bitter taste, whole
economy, throughout the year, overall growth}.
jun-fire( X Sj ).
fire( X S )= xiang-fire( X Sx )
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 3.2-3.5 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 3.2-3.5 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.
The laws of Zangxiang, Six-fu, Ten stems hiden behind
Twelve branches, Eight-Palaces or Eight Veins or Eight
Extra Meridians are summarized in Figures 2- 5.
Definition 3.1 (Sixty JiaZi) Suppose that the ten heavenly
stems model and the twelve earthly branches model are
respectively
V
2
V
2
V 5 {(i , j ) | i V 2 , j V 5 },
V 6 {(i , j ) | i V 2 , j V 6 }.
Then the following model in Table 1 is called the sixty
JiaZi model. #
In Table 1, each of the elements (1,0), (0,0),..., (0,4) is that
of group V 2 V 5 {(i, j ) | i V 2 , j V 5 }
as the ten heavenly stems model or Zangxiang Model in
Figure 2.
In Table 1, each of the elements (0,e), (0,(23)),..., (1,e) is that
of group V V {(i, j ) | i V , j V }
2
6
2
6
as the twelve earthly branches model or Jingluo Model Figure
3.
Definition 3.2 (Logic relation between Six JiaZi and the
Eight-Palaces) Logic relations of Six JiaZi hidden behind
the Eight-Palaces must follow the relationship between the
symmetry of the Eight-Hexagram elements.
All logic relations of that the Six JiaZi are hidden behind
the Eight-Hexagram elements are summarized in Table 0. #
See Table 0., all pure Yang: Ren-Jia, Wu, Bing, Geng of
Ten Heavenly Stems are hidden behind all pure Yang: Qian,
Kan, Gen, Zhen of the Eight-Hexagram;all pure Yin: Gui-Yi,
Ji, Ding, Xin of Ten Heavenly Stems are hidden behind
clockwise all pure Yin: Qun, Li, Gui, Xun of the
Eight-Hexagram.
All pure Yang: Wu-Zi, Xu-Chen, Shen-Yin, Wu-Zi of
twelve earthly branches are hidden behind all pure Yang:
Qian, Kan, Gen, Zhen of the Eight-Hexagram;all pure Yin:
Chou-Wei, Hai-Si, You-Mao,Wei-Chou of twelve earthly
branches are hidden behind counterclockwise all pure Yin:
Qun, Li, Gui, Xun of the Eight-Hexagram.
Example 2.1. The name of the primordial spirit of Qian
Palace is
K X (1,1) K X (Outside of Qian, Inside of Qian)
(Qian Ren Xu, Qian Ren Shen, Qian Ren Wu;
Qian Jia Chen, Qian Jia Yin, Qian Jia Zi ).
The name of the two generation of Dui Palace is
K X (2,8) K X (Outside of Dui, Inside of Qun)
(Dui Ding Si, Dui Ding Wei, Dui Ding You ;
Qun Yi Mao, Qun Yi Si, Qun Yi Wei ).
All eight palace elements for naming can use the following
formula.
Eight-Hexagram+Ten Stems+Twelve Branches.#
Property 3.1. (1). Sixty JiaZi meaning of ten heavenly
stems of grow - strong - die - extinction state, good of lucky,
general of flat and bad of fierce, and comprehensive name
are stated in Table 2.
(2).Sixty JiaZi meaning of Philosophy, good of lucky,
general of flat and bad of fierce, and comprehensive name
are stated in Table 3.#
Energy concept is an important concept in Physics. Zhang
etc [21] introduce this concept to the steady multilateral
systems or image mathematics [20] and use these concepts to
deal with the steady multilateral system diseases (economic
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
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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 in Zhang [23]) 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 Eight-Palaces or Eight Extra Meridians or
Eight Veins 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}.
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
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 . But
in the Eight-Palaces or Eight Extra Meridians or Eight
Veins system, the synthesized and combined operations are
1
the same since x x.
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 one of PACGGF inflation
rates x [a, b] which means 0 1 ( x) 1. This
relation cost is low because this 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 .
But in general, the one of PACGGF inflation
rates x [a, b] which means 0 1 ( x) 0 . 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
decreasing response to
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 economics emphasizes directly economic
treatments on a disease subsystem after the disease of
subsystem has occurred, but the indirect intervening of
oriental economics 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?
3.2 Kinds of Relationship costs of Steady Multilateral
Systems
For a steady multilateral system V with two incompatibility
relations,
suppose
that
the
subsystems
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
and combined
合化或者合成
化合 ) Suppose that both x and y are two elements
synthesized
of system of the Eight-Palaces or Eight Extra Meridians or
Eight Veins.
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
system with a multiplication *, i.e., x * y z. The element z is
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
the result of two elements
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 .
The synthesized and combined operations in system the
Eight-Palaces or Eight Veins or Eight Extra Meridians are
the same since x x. #
Property 3.2. Sixty JiaZi ,meaning of ten heavenly stems,
twelve earthly branches to hide stems, synthesized attribute of
twelve earthly branches, and integration attribute are in
Table 8 .#
In Table 8, the rule of twelve earthly branches to hide the
ten heavenly stems is in Figure 4.
1
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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 AAF
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 one of PACGGF
inflation rates x [a, b] which is equivalent to the
inflation rate of V . Taking 1 ( x), 2 ( x)2 , and 3 c ( x)
where 0 c 1 and ( x) is defined in Eqs.(3) and (4). The
0 ( x) 1 and
0 c 1 hold. By Corollary 2.1, it is equivalent to the normal
range x [a, b] or the healthy 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 t0 , , when c 0 ,
healthy economy means that the conditions
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:
1 +2 3 = ( x) c ( x)3 ( x) 1 1 c ( x)3 1 2 3 ,
conditions 0 1 ( x) 1 and 0 c 1 .
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:
real Shen
S X (0,(13))
real Mao
K X (1,(12))
real Jia(1,0)X
real Yi(0,0)X
less
virtual Yi(0,0)X
real Yin
X
S X (0,(13))
less
less
less
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
rare
virtual Si
X K (0,(132))
virtual Wei
real Chen
X S (1,(13))
j
X K (0,(12))
real Si
X K (0,(132))
rare
virtual Hai
X S (1,e)
x
rare
less
less
virtual Wu
j
X S (1,(123))
virtual Zi
X (0,e)
less
virtual You
.
real Ji(0,2)X K real Wu(1,2)X K
more
X K (0,(12))
X S (1,(13))
less
real Xin(0,3)K X real Geng(1,3) K X
rare
virtual Chen
j
less
less
virtual Gui(0,4) S X virtual Ren(1,4) S X
less
rare
less
rare
virtual Jia(1,0)X
more
virtual Shen
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
x
real Wei
less
less
less
X S (1,(23))
(0,(23))
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 Ren(1,4)S X real Gui(0,4)S X
j
K X (1,(132))
virtual Xin(0,3)K
X
X S (1,(123))
S X (0,(123))
less
virtual Geng(1,3)K
less
real Xu
real Chou
less
real You
virtual Wu(1,2)X K virtual Ji(0,2)X K
rare
X S (1,e)
real Wu
less
less
x
less
less
real Bing(1,1)X S real Ding(0,1)X S
X
rare
rare
less
more
more
real Hai
(0,e)
less
K X (1,(132))
less
rare
less
virtual Yin
real Jia(1,0)X real Yi(0,0)X
less
K X (1,(12))
X
such that the healthy condition 1 +2 3 1 2 3
cannot hold.
By using Corollary 2.1 and Theorems 2.1and 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 one of PACGGF
inflation rates x [a, b] which is equivalent to the
less
real Zi
less
there are
less
virtual Mao
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
S X (0,(123)
rare
virtual Xu
x
X S (1,(23))
virtual Chou
X (0,(23)) .
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 3. 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:
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real X
less
+
real X
less
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 .
real X S real X S
less
less
virtual X K
virtual X K
rare
less
virtual K X
virtual K X
less
more
real S X
real S X
rare
less
real X
less
real X .
less
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:
virtual X
virtual X
less
virtual S X
virtual S X
less
less
real K X
real K X
rare
less
real X K
real X K
more
less
virtual X S virtual X S
less
rare
virtual X
virtual X
less
less
.
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:
real Chou X
real Zi X
less
real Hai X Sx
less
less
less
real Wei X Sj real Wu X Sj
rare
less
virtual Si X K
virtual Chen X K
less
less
virtual Mao K X
virtual Yin K X
less
less
( real You S X real Shen S X )
rare
less
real Chou X real Zi X .
less
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 virtual
less
Zi X
virtual Chou X
less
virtual You S X
( virtual Shen S X
)
less
less
real Yin K X
real Mao K X
rare
less
real Chen X K
real Si X K
more
virtual Wu X Sj virtual Wei X Sj
less
virtual You S X
virtual Shen S X
rare
less
virtual Xu X Sx virtual Hai X Sx
rare
less
virtual Zi X
less
virtual Chou X
less
.
Because the energy change between
virtual Zi X virtual Chou X and real Yin K X real Mao K X needs
less
to
less
be
less
adjusted
by
less
the
energy
of
virtual Shen S X virtual You S X , so generally believe that
less
tending to be large and the 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 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
the
1 ( x), 2 ( x) 2 and
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.,
of
self-protection
3 c ( x) ( x) , where c 1 , implies the
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
running of the first transfer law can make both
( x) 1 and 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
rare
where c 1 which is the best state of 3 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 )
coefficient
real Xu X Sx
real You S X
real Shen S X
rare
The best-state condition of the first transfer law is 3 c ( x)
less
the Yin energy of X begins with the Yang energy of
less
. This is in Zi to Yin (11
real Yin K X
real Mao K X
3.4 Second Transfer Laws of Economic Society Energies of
Steady Multilateral Systems with an unhealthy Economy
Suppose that a steady multilateral system V having energy
function (*) is abnormal or unhealthy. Let x be the one
1 ( x), 2 ( x)2 and 3 c ( x) where
0 c 1 , and ( x) is defined in Eqs.(3) and (4). The
of
PACGGF
unhealthy
308
inflation
economy
rate
means
of
that
V
the
.
Taking
conditions
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0 1 ( x) 0 and 0 c 1 hold, which is
equivalent to the abnormal range x [a, b] .
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 one of PACGGF
inflation rate x [a, b] which is equivalent to the
conditions 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 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
rare
real Yin
K X (1,(132))
real Shen
rare
transfer law of the Yang vital or righteousness energies of the
ten heavenly stems is transferring against the killing or liking
order of the ten heavenly stems as follows:
real Jia (1,0) X
real Yi (0,0) X
less
real Geng (1,3) K
rare
S (0,(123)
X
X
less
real Ren (1,4) S X real Gui (0,4) S X
rare
less
virtual Wu (1,2) X K virtual Ji (0,2) X K
more
less
real Jia (1,0) X real Yi (0,0) X
less
less
real Mao
K X (1,(12))
less
virtual Yi (0,0) X virtual Jia (1,0) X
real Yin
X
K (1,(132))
virtual Shen
rare
X
less
virtual Ding (0,1) X virtual Bing (1,1) X
S
less
real Xin (0,3) K real Geng (1,3) K
more
X
less
S
X
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 one of PACGGF
inflation rate x [a, b] which is equivalent to the
conditions
0 1 ( x) 0 and 0 c 1.
S X (0,(123)
less
virtual Yi (0,0) X virtual Jia (1,0) X .
less
virtual Chen
real Wu
X Sj (1,(123))
real Zi
X K (0,(12))
X (0,e)
less
less
less
virtual Si
real Chou
X (0,(23)) .
K
rare
X (0,(132))
virtual Chen
virtual Zi
X K (0,(12))
rare
X (0,e)
less
less
virtual Chou
virtual Si
X (0,(23))
X K (0,(132))
rare
virtual Wei
j
S
(1,(13))
less
less
virtual You
less
rare
(1,(23))
less
less
virtual Gui (0,4) S X virtual Ren (1,4) S X
rare
X
x
S
X
S (0,(13))
virtual Ji (0,2) X K virtual Wu (1,2) X K
rare
real Xu
less
more
righteousness energies of the ten heavenly stems is
transferring along the killing or liking order of the ten
heavenly stems as follows:
less
vital energies of the twelve earthly branches is transferring
along the killing or liking order of the twelve earthly
branches as follows:
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 . The transfer law of the Yin vital or
less
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
real Bing (1,1) X S real Ding (0,1) X S
rare
more
X Sj (1,(13))
(1,e)
less
less
real You
real Xin (0,3) K
X
S X (0,(13))
less
X
x
S
less
rare
real Wei
real Hai
K X (1,(12))
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 disease comes from the mother S X of X . The
virtual Wu
X
j
S
(1,(123))
virtual Hai
X S x (1,e)
less
virtual Xu
X S x (1,(23)) .
more
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 killing 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 4. 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:
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virtual X
less
virtual X
less
virtual X K
virtual X K
less
rare
virtual S X
virtual S X
less
rare
virtual X S virtual X S
less
rare
real K X
real K X
less
more
virtual X
less
virtual X
less
.
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
real X
less
real K X real K X
rare
less
real X S real X S
rare
less
real S X
real S X
rare
less
virtual X K
virtual X K
real X real X .
less
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:
virtual Zi X
less
virtual Si X K
virtual Chou X
less
rare
virtual Chen X K
less
virtual Shen S
rare
X
virtual You S
less
X
virtual Wu X Sj virtual Wei X Sj
rare
less
virtual Hai X Sx virtual Xu X Sx
less
less
real Yin K X real Mao K X
more
less
virtual Zi X
less
virtual Chou X .
less
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:
real Zi X
less
real Chou X
less
real Yin K X
real Mao K X
less
real Hai X Sx real Xu X Sx
less
real Wu X Sj
real Wei X Sj
less
less
real Shen S X
real You S X
rare
less
virtual Si X K
virtual Shen X K
more
less
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., 3 c ( x) 0 where 1 c 1 ( x) 0 ,
2 ( x )3
and the coefficients of intervention reaction also will tend to
the healthy state, i.e., 0 1 ( x) 1 , such that
( 1 2 3 ) (1 2 3 ) .#
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
S X if X is intervened by increasing its energy. In other
less
rare
real Zi X
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 condition of the
killing
or
liking
relation
disease
is
the
weaker
the
use,
( 1 2 3 ) (1 2 3 )
which dues to 3 c ( x) is the greater the use. The
transferring way can make both
less
more
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 strengthen all of
both 1 3 ( x)(1 c) and 2 13 ( x)2 (1 c)
less
real Chou X
less
.
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 .
By Theorem 2.1 and Corollary 2.1, the running condition is
equivalent to both
0 1 ( x) 0 and
1 c 0 . That 3 c ( x) 0 means the lack of
capability of self-protection. Of course, it is the basis
condition of running the second transfer law.
words, the lack of capability of self-protection, i.e.,
3 c ( x) 0 , implies the possible existence of a
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.#
IV. TREATMENT PRINCIPLE OF TCE
In order to explain treatment principle of TCE , the changes in
the range of one of PACGGF inflation rate is divided into four
parts. From [20] , Theorems 2.1, 3.1-3.5, Properties 3.1-3.2
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
i
multilateral system falls ill. Let x 0 be the one of PACGGF
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inflation rates of the falling-ill subsystem X for any
i (1 i 6) of the steady multilateral system. Denoted
the parameters of the normal range as follows
(a, b, t0 ) (ai , bi , t0i ), i {1, 2,3, 4,5, 6}.
Then the following statements are true.
(1) Suppose that x a as virtual, in which X 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 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 S of X , and at the same time, to decrease the energy
of the prisoner K X of X S .
(2) Suppose that x [a, t0 ) as virtual-normal, in
which X or S X will fall a virtual disease with a healthy
economy. The mother S X of X 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 secondary treatment is to increase the energy of X itself,
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 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
X is the symptoms of an expected real disease. The primary
treatment is to decrease the energy of the subsystem X or
K X directly. And the secondary treatment is to decrease the
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 , 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
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
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.
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
between real S X and virtual X K respectively.
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 real S X and virtual X K occurrence respectively.
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
energy of the mother S X of X , and at the same time, to
respectively.
The method for doing so can improve the killing or liking
relationship to develop since real X S or X K can kill
increase the energy of the bane X K of S X . #
virtual K X or S X respectively. The killing or liking
Remark 5. Treatment principle of Theorem 4.1 is based on
ranges of the economy inflation rate. The one of PACGGF
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.
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 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
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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] ,
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
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
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
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
real X K corresponding to real
X
or virtual
X ,
respectively.
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
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. #
In order to explain treatment principle of TCE, the changes
in the one range of PACGGF inflation rates are divided into
four parts. From [20] , Theorems 2.1, 3.1-3.5, Properties
3.1-3.2 and Corollary 2.1 , it can be easily proved that the
following theorem is true.
Theorem 4.2 Let x i be the one of PACGGF inflation
rates for any i (1 i 6) of the steady multilateral
system. Denoted the parameters of the normal range as
follows
ai , bi , t0i , i 1, 2, 3, 4, 5, 6.
The Hexagram-image of the Eight-Palaces or Eight Veins or
Eight Extra Meridians is as follows:
( f1 , f 2 , f3 , f 4 , f5 , f 6 )
fi sign( xi t0i )+(xi t0i ), i 1, 2,3, 4,5, 6.
where
Then the following statements are true.
(1) If the Hexagram-image belongs the Qian palace
K X continuously, then the root-cause of the falling-ill
subsystem may be wood ( X ) .
(2) If the Hexagram-image belongs the Dui
palace K X continuously, then the root-cause of the
falling-ill subsystem may be fire( X S ).
(3) If the Hexagram-image belongs the Li palace
X S continuously, then the root-cause of the falling-ill
subsystem may be metal ( K X ).
(4) If the Hexagram-image belongs the Zhen palace X
continuously, then the root-cause of the falling-ill subsystem
may be metal ( K X ).
(5) If the Hexagram-image belongs the Xun palace X
continuously, then the root-cause of the falling-ill subsystem
may be metal ( K X ).
(6) If the Hexagram-image belongs the Kan palace
S X continuously, then the root-cause of the falling-ill
X and real X K occurrence corresponding to
subsystem may be earth( X K ).
(7) If the Hexagram-image belongs the Gen palace
X K continuously, then the root-cause of the falling-ill
real X or 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
or
while
decrease
the
energy
of
X
KX
subsystem may be fire( X S ).
(8) If the Hexagram-image belongs the Kun
palace X K continuously, then the root-cause of the
of X or X K respectively.
falling-ill subsystem may be water ( S X ).
All laws of Eight palaces are summarized in Figure 5.#
i
Theorem 4.3 Let x be the one of PACGGF inflation
rates for any i (1 i 6) of the steady multilateral
system. Denoted the parameters of the normal range as
follows
virtual
The method for doing so can improve the killing or liking
relationship developing since real K X or real X can kill
virtual X or virtual X K respectively. The killing or liking
relationship
developing
also
means
that
both
2
and
tend
to
be
small
2 13 ( x) (1 c)
1 3 ( x)(1 c)
at the same time. In other words, using the way can make, for
fixed ( x) , 0 c tending to be large, the best, equal to 1
a i , bi , t0i ,
i 1, 2, 3, 4, 5, 6.
The Hexagram-image of the Eight-Palaces or Eight Veins or
Eight Extra Meridians is as follows:
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( f1 , f 2 , f3 , f 4 , f5 , f 6 ),
where fi sign( x t )+(x t ), i 1, 2, 3, 4, 5, 6. Th
e number of Six JiaZi can be obtained by Definition 3.2. Then
the following statements are true.
(1) The Yang or Yin attribute of Sixty Jiazi in Table 1 can
be used to determine the Yang or Yin attribute of the number
of Six JiaZi. In general, Yang is real, Yin is virtual.
(2) The state of ten heavenly stems in twelve earthly
branches of Sixty Jiazi in Table 2 can be used to determine
the state of the number of Six JiaZi. In general, growing is
good, tomb is bad.
(3) The state of good and bad of Sixty Jiazi in Table 2 can be
used to determine the lucky or fierce or plat of the number of
Six JiaZi. In general, lucky or plat is good, fierce is bad.
(4) The philosophical meaning of Sixty Jiazi in Table 3 can
be used to determine the living momentum of development of
the number of Six JiaZi. In general, hope is good, lazy is bad.
(5) The comprehensive name of Sixty Jiazi in Tables 2 and
3 can be used to predict the living momentum of development
of the number of Six JiaZi, hasten lucky avoids disaster. In
general, the big tree is good, water in the sky of river is bad. #
i
i
0
i
i
0
V. CHINESE AAF FOR THE XIANG-FIRE SUBSYSTEM
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 PACGGF and the annual PACGGF inflation rates can
be measured in Tables 4-7.
Watching Tables 4-6, the Hexagram-image belongs to the
palace: 2, 7, 1, 1, 1, 1, for 1991-1996, respectively. The main
palace is 1 as the Qian palace, except for 2 as the Dui Palace
in 1991, and 7 as the Gen Palace in 1992. During this period
of time, large-scale goods have been made.
By Theorem 4.2, it mainly means that the subsystem
wood( X ) is the root cause of a real or virtual disease. First for
real, secondly for virtual.
Also watching Tables 4-6, the number of sixty JiaZi for the
AAF inflation rate is: 57, 46, 9, 9, 9, 46, for 1991-1996,
respectively. Its philosophy meaning is: xu-rose, independent,
lazy, lazy, lazy, independent, for 1991-1996, respectively.
They are “fierce”, except for 1991 “lucky”. The number 9
which is equal to RenShen is the main momentum of
development. Its comprehensive name is “metal of blade”. It
is the strong limit state of metal in which the Ren water of ten
heavenly stems is in the Growing state of the Shen metal of
twelve earthly branched. The Ren water to Growing needs the
consumption of a lot of metal. Although the metal is in the
strong limit state, material in the extreme will reverse. A lot of
wood are not killed since real metal cannot kill the real wood.
This shows that the condition of wood( X ) is a very fierce
Yang condition. By Theorem 4.3, the subsystem wood( X ) is a
Yang issue. It conforms to the judgment of Theorem 4.2 in the
period of time 1991-1996 by using Eight palaces.
Also watching Tables 4-6, the state of the AAF inflation
rate is: virtual, virtual-normal, real, real, real, virtual, for
1991-1996, respectively.
x
It means that the subsystem xiang-fire( X S ) of the economic
social system with an unhealthy economy encounters a real
economic disease since the AAF inflation rate belongs to
“agriculture” of
x
xiang-fire( X S ).
But also watching Tables 4-6, the state of the PPI inflation
rate is: virtual-normal, real-normal, real, real, real,
real-normal, for 1991-1996, respectively.
It means that the subsystem wood( X ) of the economic
social system with an unhealthy economy encounters a real
economic disease since the PPI inflation rate belongs to
“industry” of wood( X ).
x
There are two subsystems wood( X ) and xiang-fire( X S )
which have the loving relationship and fall a real disease. By
Definition 3.1 in Zhang [23], the relation economic disease is
less serious because real wood( X ) can love real
xiang-fire(
x
XS
). Because two subsystems wood(
) and
X
x
xiang-fire( X S ) are with two unhealthy economies and falling a
real disease, by Theorem 3.4 and 3.5, the real disease of
x
xiang-fire(
XS
xiang-fire(
x
XS )
) comes from the mother wood(
X
) of
for an unhealthy economy. Thus the mainly
root-cause is 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 ). It conforms to the judgment in Theorem 4.2 in the
period of time 1991-1996 by using Eight palaces. It also
conforms to the judgment of Theorem 4.3 in the period of
time 1991-1996 by using Sixty JiaZi.
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
expected real disease.
By (4) of Theorem 4.1 again, the primary treatment is to
decrease the energy of the subsystem wood( X ) directly. And
the secondary treatment is to decrease the energy of the
mother water( S X ) of wood( X ), and at the same time, to
increase the energy of the bane earth( X K ) 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
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 )).
Watching Tables 4-6 again, the Hexagram-image belongs
to the palace: 6, 6, 6, 2, 6, 6, 8, for 1997-2003, respectively.
The main palace is 6 as the Kan palace, except for 2 as the Dui
palace in 2000, and 8 as the Kun palace in 2003. During this
period of time, mass goods cannot be made. Supplies are still
scarce. Rush on still appear on the market.
By Theorem 4.2, it mainly means that the subsystem
earth( X K ) is the root cause of a virtual disease.
Also watching Tables 4-6 again, the number of sixty JiaZi
for the AAF inflation rate is: 60, 60, 60, 60, 60, 60, 60, for
1997-2003, respectively.
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Its philosophy meaning is: hesitate, hesitate, hesitate,
hesitate, hesitate, hesitate, hesitate, for 1997-2003,
respectively.
They are “fierce”. The number 60 which is equal to GuiHai
is the main momentum of development. Its comprehensive
name is “water in the ocean”. It is the strong limit state of
water in which the Gui water of ten heavenly stems is in the
Emperor state of the Hai water of twelve earthly branches.
The Gui water to Emperor makes the water strengthen. But
Material in the extreme will reverse. A possible disease is
water falling a virtual disease. For an unhealthy economy, by
Theorem 3.4 and 3.5, the virtual disease of water comes from
its son wood falling a virtual disease. So the mainly root-cause
of a virtual disease of water is wood falling a virtual disease.
Thus, by Theorem 4.3, the wood is a Yin issue. It conforms to
the judgment of Theorem 4.2 in the period of time 1991-1996
by using Eight palaces. But it does not conform to the
judgment of Theorem 4.2 in the period of time 1997-2003 by
using Eight palaces.
Also watching Tables 4-6, the state of the AAF inflation
rate is: virtual, virtual, virtual, virtual, virtual, virtual,
virtual-normal, respectively.
It means that the subsystem xiang-fire(
x
XS
judgment of Theorem 4.2 in the period of time 1997-2003 by
using Eight palaces.
By (1) of Theorem 4.1, the subsystem wood( X ) itself is the
root-cause of a happened virtual disease. And the son
subsystem fire(
Also watching Tables 4-6, 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 manufacture of large-scale goods
or the CPI inflation rate belongs to industry” of earth( X K ).
x
There are three subsystems wood( X ), xiang-fire( X S ) and
earth( X K ) which fall a virtual disease.The relationship
between wood( X ) and earth( X K ) is killing, but others are
loving. For an unhealthy economy, the key relationship is
killing. By Definition 3.2 in Zhang [23], the relation disease
between virtual wood( X ) and virtual earth( X K ) is rare since
virtual wood( X ) cannot kill virtual earth( X K ) which cannot
destroy the killing order from wood( X ) to earth( X K ). But if
the subsystem earth( X K ) is intervened such that it is from
virtual to real, there is a more serious relation disease
between virtual wood( X ) and real earth( X K ). It is because the
virtual wood( X ) cannot kill the real earth( X K ) which can
destroy the balance of the killing relation from wood( X ) to
earth( X K ).
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 ). It conforms to the judgment of Theorem 4.2 in the
period of time 1991-1997 by using Eight palaces. It also
conform to the judgment of Theorem 4.3 in the period of time
1997-2003 by using Sixty Jiazi. But it does not conform to the
X
) is the symptoms of an
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 ).
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
j
x
fire( X S ) including jun-fire( X S ) and xiang-fire( X S )) while had
unhealthy sub-economy and falling a happened virtual disease.
It is because the AAF inflation rate belongs to the belongs to
x
) of wood(
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
) is with an
“agriculture” of xiang-fire( X S ).
XS
decreased in the science and education, public facilities, 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 )).
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.
Watching Tables 4-6 again, the Hexagram-image belongs
to the palace:4, 4, 4, 1, 1, 8, 4, 1, for 2004-2011, respectively.
The main palace is 4 as the Zhen palace, or 1 as the Qian
palace, or 8 as the Kun palace. During this period of time,
large-scale goods have been still made. But a lot of society
problems begin occurring.
By Theorem 4.2, it means that the subsystem metal( K X ), or
wood( X ), or water( S X ) is the root cause of a real or virtual
disease.
Also watching Tables 4-6 again, the number of sixty JiaZi
for the AAF inflation rate is: 44, 60, 60, 9, 9, 60, 25, 9, for
2004-2011, respectively.
Its philosophy meaning is: consumption, hesitate, hesitate,
lazy, lazy, hesitate, hope,lazy, respectively.
They are “fierce”, except for 2010 “lucky”. The numbers
60 and 9, which are equal to GuiHai and RenShen
respectively, are the main momentum of development. Their
comprehensive names are “water in the ocean” and “metal in
blade”, respectively. The former is the strong limit state of
water in which the Gui water of ten heavenly stems is in the
Emperor state of the Hai water of twelve earthly branches.
The latter is the strong limit state of metal in which the Ren
water of ten heavenly stems is in the Growing state of the Shen
metal of twelve earthly branches. Now the earth is virtual.
There is a more serious relation disease between virtual
earth and real water since virtual earth cannot kill real water
which can destroy the balance of the killing relationship from
earth to water. There is also a rare relation disease between
virtual earth and real metal since virtual earth cannot love real
metal which can destroy the loving relationship. For an
unhealthy economy, the key relationship is killing. Thus the
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condition of earth( X K ) is a very fierce Yin condition. Thus, by
By (1) of Theorem 4.1, the subsystem earth( X K ) itself is the
Theorem 4.3, the subsystem earth( X K ) is a Yin issue. It
root-cause of a happened virtual disease. And the son
subsystem metal( K X ) of earth( X K ) is the symptoms of an
conforms the judgment of Theorem 4.2 in period of time
1997-2003 by using Eight Palaces. But it does not conform to
the judgment of Theorem 4.2 in the period of time 2004-2011
by using Eght palaces.
Also watching Tables 4-6 again, the state of the AAF
inflation rate is: real, virtual-normal, virtual, real, real, virtual,
real-normal, real-normal, for 2004-2011, respectively.
expected virtual disease.
The X K as X in theorem 4.1, using (1) of Theorem 4.1 again,
the primary treatment is gotten to increase the energy of the
subsystem earth( X K ) directly. And the secondary treatment is
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.
x
It means the subsystem xiang-fire( X S ) is mainly with a
healthy sub-economy falling an expected real disease. It is
because the AAF inflation rate belongs to the “agriculture” of
x
xiang-fire( X S ).
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
But the Finance inflation rate is continuously smaller
than a 6 2.9515% (deflation) from 2004 to 2008 as virtual,
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 ).
science, education and public facilities, such as to build high
speed rail, etc. (to increase the energy of metal( K X )) while had
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.
Watching Tables 4-6 again and again, the Hexagram-image
belongs to 8, 8, 8, for 2012-2014, respectively. The main
palace is 8 as the Kun palace.
By Theorem 4.2, it means that the subsystem water( S X ) is
In fact, also watching Tables 4-6 again, the state of the CPI
inflation rate is: real-normal, virtual, virtual, real-normal, real,
virtual, virtual-normal, real-normal, for 2004-2011,
respectively.
It means the subsystem earth( X K ) is mainly with an
unhealthy sub-economy and falls a virtual disease. It is
because the CPI inflation rate belongs to the “commerce” of
earth( X K ).
Also watching Tables 4-6 again, the state of the PPI
inflation rate is virtual-normal, virtual-normal, virtual-normal,
real-normal, real-normal, virtual, virtual-normal, real-normal,
for 2004-2011, respectively.
It means the subsystem wood( X ) is mainly with a healthy
sub-economy and falls an expected real disease. It is because
the manufacture of large-scale goods or the normal PPI
inflation rate belongs to“industry” of the subsystem wood( X ).
x
There are three subsystems wood( X ), xiang-fire( X S ) and
x
earth( X K ) in which both wood( X ) and xiang-fire( X S ) are
normal but earth( X K ) is virtual. For an unhealthy economy,
the key relationship is killing. By Definition 3.2 in Zhang [23],
the relation disease between real-normal wood( X ) and virtual
earth( X K ) is less since real-normal wood( X ) can kill virtual
earth( X K ) which cannot destroy the killing order from
wood( X ) to earth( X K ). Now the subsystem 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. It is the case in
(1) of Theorem 4.1 for earth( X K ). It conforms to the judgment
of Theorem 4.2 in the period of time 1997-2003 by using
Eight palaces. It also conform to the judgment of Theorem 4.3
in the period of time 2004-2011 by using Sixty Jiazi. But it
does not conform to the judgment of Theorem 4.2 in the
period of time 2004-2011 by using Eight palaces.
the root cause of a real or virtual disease.
Also watching Tables 4-6 again and again, the number of
sixty JiaZi for the AAF inflation rate is: 60, 60, 60, for
2012-2014, respectively.
Its philosophy meaning is: hesitate, hesitate, hesitate,
respectively.
They are “fierce”. The number 60 which is equal to GuiHai
is the main momentum of development. Its comprehensive
name is “water in the ocean”. It is the strong limit state of
water in which the Gui water of ten heavenly stems is in the
Emperor state of the Hai water of twelve earthly branches. A,
material in the extreme will reverse.
But Material in the extreme will reverse although the Gui
water to Emperor makes the water strengthen. A possible
disease is water falling a virtual disease. For a healthy
economy, it shows that the condition of water( S X ) is a very
fierce Yin condition. By Theorem 4.3, the subsystem
water( S X ) is a Yin issue.It conforms to the judgment of
Theorem 4.2 in the period of time 2004-2011 about the
subsystem water( S X ) by using Eight palaces. It also conforms
to the judgment of Theorem 4.2 in the period of time
2012-2014 by using Eight palaces.
Also watching Tables 4-6 again and again, the state of the
AAF inflation rate is: virtual-normal, virtual-normal, virtual,
for 2012-2014, respectively.
x
It means the subsystem xiang-fire( X S ) is mainly to fall an
expected virtual disease from a healthy sub-economy to an
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unhealthy sub-economy.. It is because the AAF inflation rate
belongs to the “agriculture” of xiang-fire( X S ).
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
X
x
Also watching Tables 4-6 again and again, the state of the
CPI inflation rate is: virtual-normal, virtual-normal,
virtual-normal, for 2012-2014, respectively.
It means the subsystem earth( X K ) is mainly with a healthy
economy and will fall an expected virtual disease. It is
because the CPI inflation rate belongs to the “commerce” of
earth( X K ) .
Also watching Tables 4-6 again and again, the state of the
PPI inflation rate is: virtual-normal, virtual-normal,
virtual-normal, for 2012-2014, respectively.
It means that the the subsystem wood( X ) is an expected
virtual disease for a healthy sub-economy. It is because the
manufacture of large-scale goods or the PPI inflation rate
belongs to the“industry” of the subsystem wood( X ).
The virtual-normal 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.
x
There are three subsystems wood( X ), xiang-fire( X S ) and
earth( X K ) in which all are virtual-normal. Both wood( X ) and
earth( X K ) have the killing relationship. And others have the
loving relationship.For a healthy economy, the key
relationship is loving. Most likely from Yang to deficiency is
wood( X ). But if this virtual-normal disease of wood( X ) is
continuously to develop such that it is from virtual-normal to
virtual, by Theorems 3.2 and 3.3, the virtual wood( X ) will
make its mother subsystem water( S X ) falling a 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.
So, at present the most serious problem is to treat the
subsystem water( S X ) falling a virtual disease with a healthy
sub-economy of the subsystem water( S X ). It is the case in (2)
of Theorem 4.1 for water( S X ). It conforms to the judgment of
Theorems 4.2 in the period of time 2004-2011 about the
subsystem water( S X ) by using Eight palaces. And it also
conforms to the judgment of Theorems 4.2 and 4.3 in the
period of time 2012-2014 by using Eight palaces and Sixty
JiaZi.
By (2) of Theorem 4.1, the mother subsystem metal( K X ) of
water( S X ) is the root-cause of an expected virtual disease.
And the subsystem water( S X ) itself is the symptoms of an
expected virtual disease.
The S X as X in (2) of Theorem 4.1, the primary treatment is
gotten to increase the energy of the mother subsystem
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
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
the energy of fire(
XS
) including jun-fire(
j
XS
) and
x
xiang-fire( X S ) ). 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.
It can be seen: to diagnose a sick subsystem of the steady
multilateral system by using Eight palaces is in advance. But
the numbers of Sixty JiaZi for the AAF inflation rate have
short-term forecasting properties.
Instead of x1 of the first index of PACGGF inflation rates
to x1' of the RPI inflation rate, the Numbers is in Table 7.
From Table 7, similarly to the above conclusions can be
obtained.This shows that the selection of indicators, does not
affect the diagnosis of diseases of the key system.#
VI. CONCLUSIONS
This work shows how to treat the diseases of an economic
society by using the one of PACGGF inflation rates x . For
the one of PACGGF inflation rates, the range of theory is
x [a, b], nearly to x [a0 , b0 ] and the center is t0
nearly to t0* . From Eight-Palaces or Eight Veins or Eight
Extra Meridians, by Theorem 4.2, the disease problem of
subsystems can be easily diagnosed.
According to the treatment principle of TCE:“seize the
momentum of development, hasten lucky avoids disaster” (顺
势而为,趋吉避凶), using sixty JiaZi philosophy meaning to
predict the trend, find the possible problems of subsystem.
Abiding by TCE‟s idea: “Even if all changed, it is hard to
change one's nature” 江山易改, 本性难移 , it can be
used as the basis of analyzing after.
There are the first or second transfer law of economic
society energies corresponding to a healthy economy or an
unhealthy economy respectively. The first or second transfer
law of economic society energies changes according to the
different PACGGF inflation rates whether in the normal range
or not. For the normal range, the first transfer law of economic
society energies in Theorems 3.2 and 3.3 run; For the
abnormal range, the second transfer law of economic society
energies in Theorems 3.4 and 3.5 run.
Assume that the range of the one of PACGGF inflation rates
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
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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 the
primary cause of disease in treatment, cure both symptoms
and root-cause at the same times” 治病求本, 标本兼治 ,
the treating works are first the prevention or the treatment for
the mother or son of a virtual or real disease respectively, the
second the prevention or the treatment for a more serious
relation disease between virtual X and real X K or between
real
X
and virtual K X , respectively. Both the root-cause and
the symptoms come from the first transfer law of economic
society 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 are the son or mother of the fall-ill
subsystem X respectively. Abiding by TCE‟s idea: “Searching
for the primary cause of disease in treatment, cure both
symptoms and root-cause at the same times”
治病求本, 标本兼治 , the treating 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 X K ,
respectively. Both the root-cause and the symptoms come
from the second transfer law in Theorems 3.4 and 3.5.
An 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 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, as virtual, in which X 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 virtual
disease. And the son X S of
X
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, 标本兼治 , 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
or X K directly.
In order to protect or maintain the killing relationship,
abiding by TCE‟s idea “Don‟t have disease cure cure
non-ill” (不治已病治未病) , do a preventive treatment for
the more serious relation disease between virtual X S and real
KX .
Through the intervening principle of “Strong inhibition of
the same time, support the weak” (抑强扶弱) , increase the
energy of the son X S or
X
while decrease the energy of the
prisoner K X of X K .
(2) Suppose that a x t0 , as virtual-normal, in which
X
or S X falls a virtual disease with a healthy economy. The
mother S X of the subsystem X is the root-cause of an
expected virtual disease. And the subsystem X itself is the
symptoms of an expected virtual disease. Abiding by 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, 标本兼治 , the following works should be
done.
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
of the mother S X of
X
. The treating way is an indirect treating
for X .
In order to protect or maintain the killing relationship,
abiding by TCE‟s idea “Don‟t have disease cure cure
non-ill” (不治已病治未病) , do a preventive treatment for the
more serious relation disease between virtual
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 x b, as real-normal, in which
X or X S falls a real disease with a 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, 标本兼治 , the following works should be done.
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
the son X K of X . The treating way is an indirect treating for
X.
In order to protect or maintain the killing relationship,
abiding by TCE‟s idea “Don‟t have disease cure cure
non-ill” (不治已病治未病) , do a preventive treatment for the
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
energy of X itself while increase the energy of the bane K X
of X .
(4) Suppose that x b, as real, in which X or K X falls a
real disease with an unhealthy economy. The subsystem X or
K X itself is the root-cause of a happened real 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
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Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (V)
a root cause of disease in cure, treatment of both the
root-cause and symptoms at the same time”
治病求本, 标本兼治 , the following works should be done.
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 or K X directly.
In order to protect or maintain the killing relationship,
abiding by TCE‟s idea “Don‟t have disease cure cure
non-ill” (不治已病治未病) , do a preventive treatment for the
more serious relation disease between real S X and virtual X K .
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
while increase the energy of the bane
-((1,2)+(1,1))+((0,2)+(1,1))=(1,0).
So the integration of Yin and Yang is (1,0) as Yang wood,
namely Wood in the big tree (大林木).
For GengWu and XinWei, the group elements of GengWu
are (1,3) and the synthesized (0,3), and the group elements of
XinWei are (0,3) and the synthesized (0,3). Since the
synthesized of (1,3) and (0,3) is (1,1) as Yang, and the
synthesized of (0,3) and (0,3) is (0,1) as Yin, conforms to its
natural attribute, so can synthesize them. There is
((1,3)+(0,3))+((0,3)+(0,3))=(1,2).
So the integration of Yang and Yin is (1,2) as Yang earth,
namely Soil in the roadside (路旁土).
For RenShen and GuiYou, the group elements of RenShen
are (1,4) and the synthesized (1,4), and the group elements of
GuiYou are (0,4) and (0,3). Since (1,4) and (0,4) are
significant, so can synthesize them. There is
(1,4)+(0,4)=(1,3), ((1,3)+(1,2))+(0,3)=(0,3).
of S X .
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).
APPENDIX
Proofs of Theorems 3.2-3.5 and 4.1-4.2 can be found in
Zhang [24-25].
Proof of Property 3.1. In Table 2, Sixty JiaZi meaning of
ten heavenly stems of state is from ten heavenly stems grow strong - die - extinction in twelve earthly branches in Figure 4.
In Table 3, Sixty JiaZi meaning of Philosophy is from the
meaning of Philosophy for ten heavenly stems grow - strong die - extinction in twelve earthly branches in Figure 4.
In Tables 2 and 3, Sixty JiaZi meaning of good of
lucky,general of flat and bad of fierce, and comprehensive
name is from Sixty JiaZi meaning of ten heavenly stems of
state and Philosophy. It completes the proof.#
Proof of Property 3.2. In Table 8, the rule of twelve
earthly branches to hide the ten heavenly stems is in Figure 4.
For JiaZi and YiChou, the group elements of JiaZi are (1,0)
and (0,4), and the group elements of YiChou are (0,0) and the
synthesized (0,4). Since all elements are balance, so can
synthesize them. There is
((1,0)+(0,4))+((0,0)+(0,4))=(1,3).
So the integration of Yang and Yin is (1,3) as Yang metal,
namely Gold in the sea (海中金).
For BingYin and DingMao, the group elements of BingYin
are (1,1) and the synthesized (1,3), and the group elements of
YiChou are (0,1) and (0,0). Since Yang (1,1) is significant
and Yin (0,0) is significant, so can synthesize them. There is
(1,1)+(0,0)=(1,1), (1,0)+(0,1)=(1,1).
So the integration of Yang and Yin is (1,1) as Yang fire,
namely Fire in the stove (炉中火).
For WuChen and JiSi, the group elements of WuChen are
(1,2) and the synthesized (1,1), and the group elements of JiSi
are (0,2) and the synthesized (1,1). Since the synthesized of
(1,2) and (1,1) is (0,3) as Yin, and the synthesized of (0,2) and
(1,1) is (1,3) as Yang, against their nature, so can combine
them. There is
So the integration of Yang and Yin is (1,3) or (0,3) as Yang or
Yin metal, namely Metal of blade (剑锋金).
For JiaXu and YiHai, the group elements of JiaShen are (1,0)
and the synthesized (1,1), and the group elements of YiYou
are (0,0) and the synthesized (1,4). Since all (1,0),(1,1),(0,0)
and (0,4) are not significant, only a strong joint of freedom, so
can combine them. There is
(1,1)-(0,0)=(1,1), (1,0)-(0,4)=(1,1).
So the integration of Yang and Yin is (1,1) as Yang fire,
namely Fire on the hill (山头火).
For BingZi and DingChou, the group elements of BingWu
are (1,1) and the synthesized (0,4), and the group elements of
DingWei are (0,1) and the synthesized (0,4). Since the (0,4) is
in Yang Yin significantly on both sides, so can merge both
sides strength. There are
1
4
{(0,4)} {(0,4)}= {(0,4)}, (0,4)+((0,1)+(0,4))=(0,4),
3
3
((1,1)+(0,4))+(0,4)=(1,4).
So the integration of Yang and Yin is (0,4) or (1,4) as Yin or
Yang water, namely Water in the mountain ravine (涧
水).
For WuYin and JiMao, the group elements of WuYin are
(1,2) and the synthesized (1,3), and the group elements of
JiMao are (0,2) and the synthesized (0,0). Since the (1,2) is
significant, so can synthesize them. There is
((1, 2) (1, 3)) ((0, 2) (0, 0))=(0,2).
So the integration of Yin and Yin is (0,2) as Yin earth, namely
Soil in the city wall (城墙土).
For GengChen and XinSi, the group elements of GengChen
are (1,3) and the synthesized (1,1), and the group elements of
XinSi are (0,3) and the synthesized (1,1). Since the (1,3) is in
Yang Yin significantly on both sides, so can merge both sides
strength, also can synthesize them. There are
{(1,3)}
1
4
{(1,3)}=
{(1,3)},
3
3
((1,3)+(1,1))+((0,3)+(1,1))=(1,3).
So the integration of Yang and Yin is (1,3) as Yang metal,
namely Gold in the ash (白腊金).
For RenWu and GuiWei, the group elements of RenWu are
(1,4) and the synthesized (0,3), and the group elements of
GuiWei are (0,4) and the synthesized (0,3). Since the same on
both sides of the Wu Xing of attributes, attribute balance to
zero,so can combine them. There is
((1,4)+(0,3))-((0,4)+(0,3))=(1,0).
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(0,3) and the synthesized (0,4). Since all elements are balance,
so can synthesize them. There is
So the integration of Yang and Yin is (1,0) as Yang wood,
namely Wood in the willow tree (杨柳木).
For JiaShen and YiYou, the group elements of JiaShen are
(1,0) and the synthesized (1,4), and the group elements of
YiYou are (0,0) and (0,3). Since all elements are not
significant, so can only give up the weaker elements and
combine them.There is
((1,0)+(1,4))-(0,0)=(0,4).
So the integration of Yang and Yin is (0,4) as Yin water,
namely Water in the spring (泉中水).
For BingXu and DingHai, the group elements of BingXu are
(1,1) and the synthesized (1,1), and the group elements of
DingHai are (0,1) and the synthesized (0,4). Since (1,1) is
significant, so can synthesize them. There is
((1,3)+(0,4))+((0,4)+(0,3))=(1,2).
So the integration of Yang and Yin is (1,2) as Yang earth,
namely Soil in a small wall (壁 土).
For RenYin and GuiMao, the group elements of RenYin
are (1,4) and the synthesized (1,3), and the group elements of
GuiMao are (0,4) and (0,0). Since all elements are balance, so
can synthesize them. There are
(1,4)+(0,4)=(1,3),(1,3)+(0,0)=(1,3).
So the integration of Yang and Yin is (1,3) as Yang metal,
namely Gold in the gold foil gold (金箔金).
For JiaChen and YiSi, the group elements of JiaChen are
(1,0) and the synthesized (1,1), and the group elements of
YiSi (0,0) and the synthesized (1,1). Since all elements are
balance, so can synthesize them. There are
((1,1)+(1,1))+((0,1)+(0,4))=(0,2).
So the integration of Yang and Yin is (0,2) as Yin earth,
namely Soil on the house (屋 土).
For WuZi and JiChou, the group elements of WuZi are (1,2)
and (0,4), and the group elements of JiChou are (0,2) and the
synthesized (0,4). Since (1,2) is significant, so can synthesize
them. There are
((1,0)+(1,1))+(0,0)=(0,1),(1,0)+(1,1)=(0,1).
So the integration of Yang and Yin is (0,1) as Yin fire, namely
Fire in Buddha’s lights (佛灯火).
For BingWu and DingWei, the group elements of BingWu
are (1,1) and the synthesized (0,3), and the group elements of
DingWei (0,1) and the synthesized (0,3). Since (0,1) is
significant, so can synthesize them. There are
(1,2)+(0,4)=(1,1),(0,4)+(0,2)=(0,1).
So the integration of Yang and Yin is (1,1) or (1,0) as Yang or
Yin fire, namely Fire from the blue fire (霹雳火).
For GengYin and XinMao, the group elements of GengYin
are (1,3) and the synthesized (1,3), and the group elements of
XinMao are (0,3) and (0,0). Since (1,3) is not significant, so
can combine them.There is
(0,3)+(0,1)=(0,4), (1,1)+(0,3)=(1,4).
So the integration of Yang and Yin is (0,4) or (1,4) as Yin or
Yang water, namely Water in the sky of river (天河水).
For WuShen and JiYou, the group elements of WuShen are
(1,2) and the synthesized (1,4), and the group elements of
JiYou (0,2) and (0,3). Since (1,2) is significant, so can
synthesize them. There is
(1,3)-((0,3)+(0,0))=(1,0).
So the integration of Yang and Yin is (1,0) as Yang wood,
namely Wood in the pine tree (松柏木).
For RenChen and GuiSi, the group elements of RenChen
are (1,4) and the synthesized (1,1), and the group elements of
GuiSi are (0,4) and the synthesized (1,1). Since all elements
are balance, so can synthesize them. There are
(1,2)+((0,2)+(0,3))=(1,2),(1,4)+(0,3)=(1,2).
So the integration of Yang and Yin is (1,2) as Yang earth,
namely Soil in the great post (大驿土).
For GengXu and XinHai, the group elements of GengXu
are (1,3) and the synthesized (1,1), and the group elements of
XinHai (0,3) and the synthesized (0,4). Since (0,3) is
significant, so can synthesize and merge them. There are
((1,4)+(1,1))+(0,4)=(0,4), (1,4)+((0,4)+(1,1))=(0,4).
So the integration of Yang and Yin is (0,4) as Yin water,
namely Water in the usual running (常流水).
For JiaWu and YiWei, the group elements of JiaWu are
(1,0) and the synthesized (0,3), and the group elements of
YiWei are (0,0) and the synthesized (0,3). Since (0,0) is
significant, so can synthesize them. There are
((1,3)+(1,1))+(0,4))=(0,3),{(0,3)} {(0,3)}=
So the integration of Yang and Yin is (0,3) as Yin metal,
namely Gold in the jewelry of women (钗钏金) .
For RenZi and GuiChou, the group elements of RenZi are
(1,4) and (0,4), and the group elements of GuiChou (0,4) and
the synthesized (0,4). Since (0,4) is too significant, extremes
meet the reverse, so can combine them. There is
((1,0)+(0,3))+(0,0)=(0,3), (1,0)+((0,3)+(0,0))=(1,3).
So the integration of Yang and Yin is (0,3) or (1,3) as Yin or
Yang metal, namely Gold in the sand (沙中金).
For BingShen and DingYou, the group elements of
BingShen are (1,1) and the synthesized (1,4), and the group
elements of DingYou are (0,1) and (0,3). Since all elements
are not significant, so can combine them. There is
((1,4)+(0,4))-((0,4)+(0,4))=(1,0).
((1,1)+(1,4))-((0,1)+(0,3))=(0,1).
So the integration of Yang and Yin is (0,1) as Yin fire, namely
Fire under the mountain (山 火).
For WuXu and JiHai, the group elements of WuXu are (1,2)
and the synthesized (1,1), and the group elements of JiHai are
(0,2) and the synthesized (0,4). Since (1,2) is significant, so
can synthesize them. There is
((1,2)+(1,1))+(0,2)=(0,0),(1,1)+(0,4)=(1,0).
So the integration of Yang and Yin is (0,0) or (1,0) as Yin or
Yang wood, namely Wood in the ground (平地木).
For GengZi and XinChou, the group elements of GengZi
are (1,3) and (0,4), and the group elements of XinChou are
4
{(0,3)}.
3
So the integration of Yang and Yin is (1,0) as Yang wood,
namely Wood in the sang cudrania tricuspidata (桑柘木).
For JiaYin and YiMao, the group elements of JiaYin are
(1,0) and the synthesized (1,3), and the group elements of
YiMao (0,0) and (0,0). Since (0,0) is most significantly and
(1.0) is also significant, extremes meet the reverse, the
weakest element will be stronger. Here, the weakest element
is (0,4), so it will be stronger. So can combine them. There is
-((1,0)+(1,1))+((0,0)+(0,0))=(0,4).
So the integration of Yang and Yin is (0,4) as Yin water,
namely Water in the large streams (大溪水).
For BingChen and DingSi, the group elements of BingChen
are (1,1) and the synthesized (1,1), and the group elements of
DingSi (0,1) and the synthesized (1,1). Since (1,1) is
significant, so can synthesize them. There are
(1,1)+(0,1)=(1,2),(1,1)+(1,1)=(0,2).
319
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AAF for the xiang-Fire Subsystem based on Six Jiazi and Eight Palaces -Mathematical Reasoning of Economic
Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (V)
So the integration of Yang and Yin is (1,2) or (0,2) as Yang or
Yin earth, namely Earth in the sand (沙中土).
For WuWu and JiWei, the group elements of WuWu are
(1,2) and the synthesized (0,3), and the group elements of
JiWei (0,2) and the synthesized (0,3). Since (0,2) is too
significant, extremes meet the reverse, so can combine them.
There are
(0,3)-(0,2)=(0,1),(0,3)-(1,2)=(1,1).
So the integration of Yang and Yin is (0,1) or (1,1) as Yin or
Yang fire, namely Fire in the sky (天 火)
For GengShen and XinYou, the group elements of
GengShen are (1,3) and the synthesized (1,4), and the group
elements of XinYou (0,3) and (0,3). Since (0,3) is too
significant and (1,3) is significant, extremes meet the reverse,
so can combine and synthesize them. There are
(1,3)-(0,3)=(1,0),((1,3)+(1,4))+(0,3)=(0,0).
So the integration of Yang and Yin is (1,0) or (0,0) as Yang or
Yin wood, namely Wood in the pomegranate (石榴木).
For RenXu and GuiHai, the group elements of RenXu are
(1,4) and the synthesized (0,1), and the group elements of
GuiHai (0,4) and the synthesized (0,4). Since (1,4) is in Yang
Yin significantly on both sides, so can merge both sides
strength, also can synthesize them.There are
1
4
{(1,4)} {(1,4)}= {(1,4)}, ((1,4)+(0,1))+(0,4)=(1,4).
3
3
So the integration of Yang and Yin is (1,4) as Yang water,
namely Water in the ocean (大洋水). It completes the proof.
#
Proof of Theorem 4.3. By the relations between Sixty
JiaZi and eight palaces in Definition 3.2, the numbers of Six
JiaZi can be calculated.
By Property 3.2, the mathematical meaning can be obtained
for each of the numbers of Six JiaZi. It completes the proof.#
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