International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 RPI for the Wood Subsystem based on 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 RPI (Retail 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 RACGGF. The first or second transfer law of economic society energies of Sixty JiaZi changes according to the different RACGGF inflation rates of economic society whether in the normal range or not. Assume that the range of one of RACGGF 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 RPI 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. 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 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 ( 水) taishan (台山) starting painting Eight-hexagram, a heaven. Changing system of Yin and Yang Eight-hexagram said thing itself, with “1” on Index Terms— Traditional Chinese Economics (TCE), Yin Yang Wu Xing Theory, steady multilateral systems, incompatibility relations, side effects, medical and drug resistance problem. I. INTRODUCTION Theory of 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 Yingshan Zhang, School of Statistics, Faculty of Economics and Management, East China Normal University,Shanghai,P. R. China 94 www.erpublication.org RPI for the Wood 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) 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 RPI (Retail Price Index) in Levell [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 RACGGF. There is also an index of the PPI (the Producer Price Index) in Su etc [7]. An example will be used: substitute PPI for RPI strange through eight veins of logical analysis, the analysis conclusion there will be no big changes. The RACGGF 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 RACGGF 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, Levell [1], Wang etc [2], Boskin [4], Ahmed etc [5], Su etc [7], and so on. Use of YIN YANG WU XING theory, the following results can be obtained. 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 t01 =2.7047% nearly to t01  3% . It is the target as the RPI inflation rate. And the center value is expectation of the RPI 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. 95 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 when one of the RACGGF 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 RACGGF. It is because the six indexes RACGGF are the direct reflection of living standards, although the level increase is difficult to be controlled directly. In this article, the main concern RPI index of theoretical analysis and practical application for the wood( X ) subsystem of steady multilateral systems. RPI index statistics of major commodities, including food, beverages, tobacco, clothing shoes and hats, textiles, Chinese and western medicines, cosmetics, books, newspapers, magazines, cultural and sports supplies, daily necessities, household appliances, jewelry, fuel, building decoration materials and mechanical and electrical products, such as 14 categories.In each class, in several categories and points within the class divided into small classes, the program is to small class first, then in the class, major categories, finally by the various categories of commodity retail price index weighted average income. Look from the definition, the commodity retail price refers to (RPI) and consumer price index (CPI) both are similar, this is, commodity retail price index statistics scope is wide than the consumer price index, and the different aims of both statistical and RPI compiled the purpose is to grasp the changes in prices of goods market, and compiled on the basis of various other derived counsel, for studying market circulation and the national economic accounting.The CPI is mainly to see inflation levels.Of course, look from the China statistical yearbook, both trends are almost synchronous, has a high degree of correlation. A microcosm of the macro economy as RPI is headed. RPI index is commodity the price of the last link in the process of circulation.According to the law of supply and demand rule, it is known: what is the price of high demand and increase supply, demand for lower prices to increase supply decrease.If commodity retail price overall level continues to increase, in the case of other factors unchanged, people's consumption atrophy, reduced demand, this leads to a lot of unsold goods, supply, direct impact on corporate profits and the future market is likely to enter the vicious circle.So how do you solve this problem, the general government will implement a proactive fiscal and monetary policy, increase spending on people's livelihood, measures such as increasing the income of people and to expand domestic demand to stimulate consumption, to solve the problems about circulation field, the market into a virtuous cycle.But the problem is not so simple, if the RPI index rise is due to the circulation of money increase inflation pressure, are much more difficult to solve, you need to shrink in circulation currency, such as raising interest rates and other measures to solve them.Because both the RPI and CPI trend with synchronicity, so it is said, the RPI is a miniature of the macro economy. Internationally, RPI data applications also is more, in the United States, the ministry of commerce investigation into national commercial sampling every month, summarize from commodity retail price index, and on the basis of paying close attention to the macro economy is headed.The RPI statistical product range is wide, pay by cash or credit card form of retail The main purpose of GDP refers to in a certain period (a quarter or a year), the economy of a country or region to 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 inflation rate. And the center value is 5 t =10.208% nearly to t0*  10% . It is the target as the 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 GDP 5 0 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  4% . It is the target as the t =4.2359% nearly to t0* Finance 6 0 expectation of the Finance inflation rate.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 nearly to rate is [a1' , b1' ]  [0.7362%, 6.4920%] [a01' , b01' ]  [1%,6%] . The center values min  0.1 and max  0.65 are the minimum and maximum acceptable the PPI inflation rate. And the center value is t01' =3.1359% 1' nearly to t0*  3% . It is the target as the expectation of the PPI inflation rate. Thus the economic social system identifies some important indicators for an economic social system health: the value of one of RACGGF 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 RACGGF 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 RACGGF 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 RACGGF inflation rates  a0i , it is called plus, is INFLATION. And 96 www.erpublication.org RPI for the Wood 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) Many people as Western persons are beyond all doubt the Yin Yang Wu Xing theory is superior to the traditional true-false logic, which does not contemplate incompatibility relations, which Zhang [19] has expertly explained from a mathematical standpoint. The work Zhang [15,16] has started, allows many people like Western person to think of a true re-foundation of mathematical language, to make it a better suited tool for the needs of mankind economic social system and the environment. Although so doing, Zhang [18] also brings to light the difficulty of establishing the values of both the intervention reaction coefficients 1 , 2 and the goods were included in the survey, including furniture, electrical appliances, supermarket sales of goods and medicine, etc., but excludes services consumption. Through the growth rate of price index to calculate the rate of inflation, prices can be respectively by the consumer price index (CPI), the producer price index (PPI), the retail price index (RPI), and the gross national product (GNP) as conversion price index. In order to examine the retail business development situation, general use of RPI, its formula is as follows: RPI  a1 (P1t / P10 )  a2 (P2t / P20 )  ...  an (Pnt / Pn0 ), (1) where the type of digital and t , n is the number in the subscript, P* as the representative of retail business goods prices, an is the weight. self-protection coefficient accuracy. In this paper, the introduction of a parameter such as a RPI will be suggested, in order to facilitate the understanding and the calculation of the values of both the intervention reaction coefficients 1 , 2 and the self-protection coefficient 3 . Both the rate of RPI inflation and the RPI are two different concepts. Calculation method of the rate of RPI inflation through the calculation of the RPI changes: The rate of RPI inflation (price rises)  3 as parameters with due This paper ventures to suggest this with all due to respect, because it be believed that the path Zhang [15,16] has started, in such an understandable way from the mathematical point of view, will be very useful for all mankind searching for tools to understand the mechanisms of economic social system. The article proceeds as follows. Section 2 contains a parameter model and basic theorems, in order to explain both the intervention reaction coefficients 1 , 2 and the  100%, (2) base price level where the price rise level from low to high, to base the level of prices for base. One of the base period is selected one price level as a reference, so that you can put the other periods of price level with a comparison between base level to measure the current level of inflation. Note on the type, the rate of RPI inflation is not a price index, which is not a price rise, but the price index to rise. In fact, what is said above is just one of the three methods (CPI,PPI,RPI) of measuring inflation index reduced living consumption laws, but it is the most commonly used for studying the retail business economy, in addition to Gross Domestic Product (GDP) and consumer price index (CPI) or producer price index (PPI) conversion method. The RPI is the government measure of inflation one of the data. Popular speaking, the RPI is the price of the retail goods on the market growth percentage. As an important indicator, observe the level of inflation in China, much attention has been paid to also for such an important indicator, as a new era of youth, more objective view should be observed. First of all, let the RPI be met. The RPI is to reflect the retail goods, related to the retail goods calculated price, retail business index usually observed inflation as an important indicator. In this paper, the rate of inflation can be considered as the price level rises rather than the currency quantity rises from the basic concept of RPI. It is because the RPI is the direct reflection of living standards, although the price level increase is difficult to be controlled directly. The economic social system as an economy begins to activate the necessary mechanisms to restore this parameter to its appropriate range. If the economic social system as an economy is unable to restore optimal RPI levels, the economic disease may become chronic and lead to dire consequences. Zhang etc [15-23] have started a great interest and admired works for Traditional Chinese Economics (TCE), where, through mathematical reasoning, they demonstrate the presence of incompatibility relations, which are predominant in daily life, yet absent in traditional Aristotelian Western logic. current price level - base price level self-protection coefficient 3 through the introduction of a parameter model to study the normal range of RACGGF 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 RPI inflation rate, as one of RACGGF 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 RPI 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. 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  13 and 1  2 3  1  2 3 hold if 1  0 , 2  02 and 3  0 . Assuming 0  0.68232780, namely number. Denoted unhealthy number. It is because under a poor self-protection ability, the unhealthy number 0 can make the following poor healthy balance conditions holding: 97 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 1  3  3  0 / 2  0.34116390, 1  2 3  1   2 3 if 1  0 , 2  ( 0 )2  0.46557123 and 3  Thus 0    0 . 1 0 . 2 and and ( 1  2 3 )   ( x)  c ( x)3  1  2 3  1  c ( x)3 , | ( 1  2 3 )  (1  2 3 ) | 2(1  c) 03  (1  c)0.41024. 1  1   ( x)  0 , 2   ( x) 2 3  c ( x) where 0  c  1 , there are (5) 1/ 2 , x  (min, max).  ( x)   ( x)  1 / 2 1   ( x)  ( x)  0; 3 2  ( x)  ( x) 2 secondly, 1 c  1  3   ( x)(1  c)   ( x) / 2, 2  13   ( x)2 (1  c)   ( x)2 / 2 ( 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 0c   in which 1   ( x)  0 ; 2  ( x )3  ( x) 2 2 where (3) this inequality range to meet if 1  3   ( x)(1  c)   ( x) / 2, 2  13   ( x)2 (1  c)   ( x)2 / 2 thirdly, ( 1  2 3 )   ( x)  c ( x)3  1  2 3  1  c ( x)3 (4) and Theorem 2.1 Under model (4), the following statements hold. | ( 1  2 3 )  (1  2 3 ) | 2  0.41024 1 1   ( x)  ( x) 0c    1 in which 0   ( x)  0 ; 2 2  ( x)3  ( x) 2 finally, 1  3   ( x)(1  c)   ( x) / 2, 2  13   ( x)2 (1  c)   ( x)2 / 2 where 1/ 2 (1) The one that 0   ( x)   1 is  ( x)  1/ 2 this inequality range to 3 0 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    02   ( x) 2  1; 2  ( x) 2 0  ( x) 1   ( x) 1   0     0   ( x )  1;  ( x) 2  ( x) 2 2  02 1  0 1   ( x)  ( x)    1. 2  ( x) 3 2  03  ( x) 2 and (3) then meet if and ( 1  2 3 )   ( x)  c ( x)3  1  2 3  1  c ( x)3 whe re this inequality range to meet | ( 1  2 3 )  (1  2 3 ) | ( 0 )3  0.31767 if where 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  ( x)  If , 0   ( x)  0 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 and 1  3   ( x)(1  c)  0, 2  13   ( x)2 (1  c)  0 and ( 1  2 3 )   ( x)  c ( x)3  1  2 3  1  c ( x)3 if expectation of the one of RACGGF inflation rates. Define a function  ( x) of the one of RACGGF inflation rates x in below: | x  t0 |  ( x)  , 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) A parameter model is considered as Taking firstly, inflation rates, where the values min and max are the minimum and maximum acceptable the one of RACGGF inflation rates. Denoted the center value t0 is the target as the 0   ( x)  Taking where A parameter model of the one of six indexes RACGGF 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 RACGGF inflation rates x described as follows. Let x  (min, max) be the one of six indexes RACGGF equivalent to the other that 0  1   ( x)  0 , 2   ( x) 2 where there 0  c 1 , are 3  c ( x) 2 1  3   ( x)(1  c)  0, 2  13   ( x) (1  c)  0 , 2  1 3  1 3  ( 0 ) 2 / 2  0.23278561 (4) 1  3   ( x)(1  c)   ( x) / 2, 2  13   ( x)2 (1  c)   ( x)2 / 2 an 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 . (b). The value [( 1  2 3 )  (1  2 3 )] is included in the and interval [ 03  0.20512, 0) 1 1   ( x)  ( x)   1 in which 0c  2 2  ( x)3  ( x) 2 98 0   ( x)  0 . respectively if www.erpublication.org RPI for the Wood 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) (c).The value [( 1  2 3 )  (1  2 3 )] is included in the respectively [ 03  0.20512, 0) 1 1   ( x)  ( x) c   1 in which 0   ( x)  0 . # 2 2  ( x)3  ( x) 2 interval 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 . 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 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 v  (t0 , max) , such that 1   ( x)   (u)   (v)  (1  d ) / (2d ),  (t0 )  0   ( x)  2  ( x) 1/ 2  (u )   (v)  d   ( x)   1   (t0 ).  ( x)  1/ 2 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  13 and 3  1 for (2) The condition x [a0 , b0 ] is equivalent to each of the following conditions: 1/ 2  1   (t0 ).  ( x)  1 / 2 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 (3) The condition x  [a , b ] is equivalent to each of the 1   ( x) 1   (a )   (b )   0.30902, 2  ( x) 2 following conditions:  (t0 )  0   ( x)  common standard is 3   (a )   (b )     ( x)  1/ 2  1   (t0 ).  ( x)  1/ 2 (4) The condition x [a, b] is equivalent to each of the following conditions: 1   ( x)   (a)   (b)=02  0.34781,  (t0 )  0   ( x)  2  ( x)  (a)   (b)  0   ( x)   ( x)  1 / 2 1/ 2 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 1   ( x)  (t0 )  0   ( x)    (a0 )   (b0 ), 2  ( x)  (a0 )   (b0 )   ( x)  1  2 is near to 1 In logic and practice, it's reasonable that 1  1 1  which comes from the 22 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 .  1   (t0 ). (5) The condition x [a, b] is equivalent to each of the following conditions: 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  (t0 )  0   ( x)   (a)   (b)  ( 0 ) 2 / 2  0.23279, 1/ 2  1   (t0 ). #  (a)   (b)  0   ( x)   ( x)  1/ 2 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, 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 RACGGF inflation rates as x [a0 , b0 ] . 2  1 3  1 3  ( 0 ) 2 / 2  0.23278561 1  2 3  1   2 3 But in TCE, from Yin Yang Wu Xing Theory, Zhang etc [21] have already determined: 0  1  1 for the normal range 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 of a healthy economy. Taking 1   ( x), 2   ( x) 2 and 1  1   ( x)   (a0 )   (b0 ) ; and the interval x  [a , b ] implies the following condition 3  c ( x) where 0  c  1 for an economic society 1  1   ( x)     (a )   (b ) ; 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, and the interval x [a, b] implies the following condition 1  1   ( x)  0   (a)   (b) , in Theory of TCE, the normal range of the one of RACGGF inflation rates is considered as x [a, b] , nearly to x [a0 , b0 ] . Of course, little difference of the two intervals 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) , 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 RACGGF inflation rates. The 99 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 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 RACGGF 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  13 and (1  2 3 )  ( 1  2 3 ) at the same time if 1  0 ,  2  02 and 3  c0 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 RACGGF 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 RACGGF 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 RACGGF inflation rates is too high; if x  a, the economy is considered as a virtual disease since the one of RACGGF inflation rates is too low. Thus TCE identifies an important indicator for an economic society's health: the value of the one of RACGGF 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 RACGGF inflation rates is a Yin condition; when there is a real disease, the condition of the one of RACGGF inflation rates is a Yang condition.# 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, where and assume V 5  V05  V15  V25  V35  V45 Vi 5  V j5  , i  j (hereinafter And take   {R , R , 5 5 0 5 1 the same). , R45 } 5 Rr5   Vi 5  Vmod ( i  r ,5) , r  {0,1, 4 i 0 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 Ri5 * R5j  {( x, y ) : u  V such that ( x, u )  Ri5 ,(u, y )  R 5j } 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 V 5  V05  V15  V25  V35  V45 . The model is called Yin Yang Wu Xing V 5  {0,1, 2, 3, 4} . model, denoted simply by It can be proved by Theorem 3.2 in Zhang [23] that the steady multilateral system in Theorem 3.1 is the reasoning model of Yin Yang Wu Xing in TCE if there is an energy function  (*) satisfying  ( 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 d ( K X )  ( K X )   (  2  1 3 )    ( x) 2 (1  c)  0; dX  d ( S X )  ( 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 100 www.erpublication.org RPI for the Wood 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) 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 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  R02  {(0, 0), (1,1)}, R12  {(0,1), (1, 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 (V 8 , 8 )  (V18   V88 ,{R18 , , R88 }) is called the Eight-Hexagram (八卦) model, denoted simply by 8 i 1 8 i 1  Vi*8r , r  {1, 2, , 8}, Ri8 * R 8j  Ri8*r , 2 3 4 5 6 7 8 1 (111) 8 (011) 7 (101) 6 (001) 5 (110) 4 (010) 3 (100) 2 (000) (111) 2 (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  1 i 0 V which satisfies the following conditions:  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 6 i 6  Vi* 1, 2, r , r  { Ri2 * R 2  Ri2*r , j i*r 1 e 2  (12) 2  (12) 2  (12) 1 e 4  (23) 4  (23) 5  (123) 6  (132) 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) 3  (13) , 6}, 4  (23) 5  (123) 6  (132) 4  (23) 5  (123) 6  (132) 5  (123) 6  (132) 3  (13) 1 e 5  (123) 4  (23) 2  (12) 3  (13) 6  (132) 4  (23) 1 e 2  (12) 2  (12) 1 e 4  (23) 2  (12) The 3  (13) 1 e 5  (123) 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 shaoyang (e)(少 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 101 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 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 M1 , M 2 , M 3 , M 4 , known as the four seas 四海 ; Energy exchange of the four kinds of M1 , M 2 , M 3 , M 4 , known as the four streets 四街 . Of course, for a healthy Economy, the transfer law of each of the six energies e,(12),(13),(23),(123),(132), is from its root (root-causes) 根 to its fruit (symptoms) 结 . Western Economy is different from TCE because the TCE has a concept of Chi or Qi (气) as a form of energy of steady multilateral systems. It is believed that this energy exists in all things of steady multilateral systems (living and non-living) including air, water, food and sunlight. Chi is said to be the unseen vital force that nourishes steady multilateral systems’ Economy and sustains steady multilateral systems’ life. It is also believed that an individual is born with an original amount of Chi at the beginning of steady multilateral systems’ life and as a steady multilateral system grows and lives, the steady multilateral system acquires or attains Chi or energy from “eating” and “drinking”, from “breathing” the surrounding “air” and also from living in its environment. The steady multilateral system having an energy is called the anatomy system or the first physiological system. And the first physiological system also affords Chi or energy for the steady multilateral system's meridian system (Zang Xiang (藏象) and Jing-Luo (经络) ) which forms a parasitic system of the steady multilateral system, called the second physiological system of the steady multilateral system. The second physiological system of the steady multilateral system controls the first physiological system of the steady multilateral system. A steady multilateral system would become ill or dies if the Chi or energy in the steady multilateral system is imbalanced or exhausted, which means that 1   ( x)  0, 2   ( x)2  0 and 3  c ( x)  0 . For example, in TCE, an economy as the first physiological system of the steady multilateral system following the Yin 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}; water( S X )={army-economic,GDP (the Gross Domestic Product), kidney, bladder, ambition, bone, salty, the north, winter, hiding}; jun-fire( x fire( X S )= xiang-fire( X S ) Revenue), lung, large intestine, boldness, fur, spicy, west, autumn, accept}; j jun-fire( X S ). There is only one of both loving and killing relations between every two classes. General close is loving, alternate is killing. In every category of internal, think that they are with an equivalent relationship, between each two of their elements there is a force of similar material accumulation of each other. It is because their pursuit of the goal is the same, i.e., follows the same “Axiom system”. It can increase the energy of the class at low cost near to zero if they accumulate together. Any nature material activity follows the principle of maximizing so energy or minimizing the cost. In general, the size of the force of similar material accumulation of each other is smaller than the size of the loving force or the killing force in a stable complex system. The stability of any complex system first needs to maintain the equilibrium of the killing force and the loving force. The key is the killing force. For a stable complex system, if the killing force is large, i.e., 3  c ( x) becomes larger by Theorems 3.2-3.5 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 x spleen, stomach, willing, meat, sweetness, center, long summer, combined}; metal( K X )={science-education, GDP (the General Budget )={President or Governor, Finance (right of making money), heart, small intestine, bitter taste, whole economy, throughout the year, overall growth}. xiang-fire( X S )={agriculture, AAF (the total output value of Agriculture forestry Animal husbandry and Fishery) , pericardium, the triple energizer, nerve, the blood, bitter taste, the south, summer, growth}; earth( X K )={ commerce, CPI (the Consumer Price Index), j XS 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. 102 www.erpublication.org RPI for the Wood 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) 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.# Table 0. Sixty JiaZi hidden behind Eight - Palaces Palace Yang Ten Twelve Yin Ten sequence palace Stems Branches Palace Stems Xu Qian Ren Shen Kun Gui Outside Wu Chen Inside Qian Jia Yin Kun Yi Zi Yin Outside Kan Wu Zi Li Ji Xu Shen Kan Wu Wu Li Ji Inside Chen Zi Gen Bing Xu Dui Ding Outside Shen Wu Inside Gen Bing Chen Dui Ding Yin Xu Zhen Geng Shen Xun Xin Outside Wu Chen Xun Xin Zhen Geng Yin Inside Zi Twelve Branches You Hai Chou Mao Si Wei Wei You Hai Chou Mao Si Si Wei You Hai Chou Mao Mao Si Wei You Hai Chou 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 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., x1 * 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 RACGGF 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 103 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 increasing the sizes of both the intervention reaction coefficients 1 , 2 and the self-protection coefficient 3 . But in general, the one of RACGGF 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 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., x1 * 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 1 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. 3.3 First Transfer Laws of Economic Society Energies of Steady Multilateral Systems with a healthy Economy Suppose that a steady multilateral system V having energy function  (*) is normal or healthy. Let x be the RPI 1   ( x), 2   ( x)2 , 3  c ( x) where 0  c  1 and  ( x) is inflation rate of V . Taking and defined in Eqs.(3) and (4). The healthy economy means that the conditions 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 , there are 1 +2 3 = ( x)  c ( x)3   ( x)  1  1  c ( x)3  1  2 3 , 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 RACGGF inflation rates x [a, b] which is equivalent to the 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 Jia(1,0)X   real Yi(0,0)X  less less  real Bing(1,1)X S  real Ding(0,1)X S less less  virtual Wu(1,2)X K  virtual Ji(0,2)X K rare less  virtual Geng(1,3)K X  virtual Xin(0,3)K X more less  real Ren(1,4)S X  real Gui(0,4)S X rare less  real Jia(1,0)X   real Yi(0,0)X   less less less . 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: 104 www.erpublication.org RPI for the Wood 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)  virtual Yi(0,0)X  less  virtual Jia(1,0)X less   virtual Gui(0,4) S X  virtual Ren(1,4) S X less less  real Xin(0,3)K X  real Geng(1,3) K X rare less  real Ji(0,2)X K  real Wu(1,2)X K more less  virtual Ding(0,1)X S  virtual Bing(1,1)X S rare less  virtual Yi(0,0)X   virtual Jia(1,0)X   less less less . All transfer laws of the Zangxiang system or the ten Heavenly Stems model for a healthy economy are summarized in Figure 2. It means that only both the liking relation and the loving relation have the transfer law of the Yang or Yin vital or righteousness energies of the ten heavenly stems . Yang is transferring along the loving or liking order of the ten heavenly stems. Yin is transferring against the loving or liking order of the ten heavenly stems.# Theorem 3.3 (The transfer law of the twelve Earthly Branches with a healthy economy) Let the one of RACGGF inflation rates x [a, b] which is equivalent to the conditions 0  1   ( x)  1 and 0  c  1 . The transfer law of each of the 12 kinds of energy in the Jingluo system or the twelve Earthly Branches model is from its root-causes to its symptoms. Furthermore, for the healthy economy, the transfer law of the Yang vital energies of the twelve earthly branches is transferring along the loving or liking order of the twelve earthly branches as follows:  virtual Mao real Zi K X (1,(12)) X less   x less XS  real X +  real X  less less  real X S  real X S less less  virtual X K  virtual X K rare less    virtual K X  virtual K X more less    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  less virtual Yin K X (1,(132))   real Shen S X (0,(13))   X  less rare (1,e) less    real X K  real X K real Xu X S (1,(23))  x (0,(23)) X K (0,(12))  j rare  X S (1,(13)) less rare virtual Chen real Wei less less  real You rare  S X (0,(123)) less real Wu virtual Si X S (1,(123))  j  rare X K (0,(132)) 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: less  virtual X S  virtual X S less rare  virtual X less K X (1,(12))   more real Chen  X K (0,(12)) less X S (1,(13))  j less  real Yin less  K X (1,(132))  virtual Shen rare  S X (0,(13)) real Chou X X K (0,(132))   rare virtual Hai X S (1,e)  x less j X S (1,(123)) virtual Zi  X (0,e) S X (0,(123)  virtual Xu x X S (1,(23)) less X (0,(23))  .  less  .  real Zi X less   real Xu X Sx  less    real You S X  real Shen S X rare less  real Wei X Sj   real Wu X Sj  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 ) 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  virtual Zi X less virtual Chou less   real Hai X Sx  less rare virtual Wu less rare rare less real Si less virtual You  virtual Wei  virtual X  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: rare real Mao     virtual S X  virtual S X less real Chou more less less more less  virtual X    real K X  real K X real Hai (0,e)  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: follows   virtual Chou X less    ( virtual Shen S X )  virtual You S X less less    real Yin K X  real Mao K X 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 rare less    real Chen X K  real Si X K more 105 less www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017  ( 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. #  virtual Wu X Sj   virtual Wei X Sj  rare 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  3.4 Second Transfer Laws of Economic Society Energies of Steady Multilateral Systems with an unhealthy Economy . 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  virtual You S , so generally believe that  X less less  X 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 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 . The best-state condition of the first transfer law is 3  c ( x) 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 ) 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 the coefficients 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., coefficient 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 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 RACGGF inflation 0  1   ( x)  0 unhealthy economy rate of V . means that the and 0  c  1 hold, Taking conditions 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 RACGGF 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 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 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 X  real Xin (0,3) K X rare less  real Bing (1,1) X S  real Ding (0,1) X S rare 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 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 righteousness energies of the ten heavenly stems is transferring along the killing or liking order of the ten heavenly stems as follows: virtual Yi (0,0) X   virtual Jia (1,0) X  less  virtual Ji (0,2) X K  virtual Wu (1,2) X K rare less  virtual Gui (0,4) S X  virtual Ren (1,4) S X rare less  virtual Ding (0,1) X S  virtual Bing (1,1) X S rare less  real Xin (0,3) K X  real Geng (1,3) K X more less  virtual Yi (0,0) X   virtual Jia (1,0) X  . less 106 less www.erpublication.org RPI for the Wood 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) 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 RACGGF 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 K X (1,(12))   real Yin K X (1,(132))  real Shen rare  X S (0,(13)) S X (0,(123)  more rare less X Sx  (1,(23))  less virtual Chen virtual Si real Chou rare X (0,(132)) less less  real Yin more  X K (1,(132))  virtual Shen rare S X (0,(13)) less S (0,(123)  less less X (0,(23))  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  real X S  real X S less    real S X  real S X less 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 rare less X S j (1,(123))  virtual Chou X less   virtual Chen X K less  virtual Shen S X  virtual You S X less less less  real Yin K X  real Mao K X more  virtual Zi X less X S j (1,(13))   less X K (0,(132)) virtual Wei  less  virtual Hai X Sx   virtual Xu X Sx  virtual Si rare virtual Wu  virtual X   virtual X  . rare less virtual Chou less  virtual Wu X Sj   virtual Wei X Sj  rare less virtual You  X X K (0,(12))  less   real K X  real K X more rare virtual Chen X  (0,e) less  real X   real X  . vital energies of the twelve earthly branches is transferring along the killing or liking order of the twelve earthly branches as follows: K X (1,(12))  rare    virtual X K  virtual X K X  (0,(23))  .  K less  virtual X S  virtual X S less less virtual Zi rare more X (0,e) less less  virtual S X  virtual S X 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 Mao rare X (1,(123)) less  virtual X K  virtual X K rare j S  less less real Wu real Zi X (0,(12))   K  virtual X   virtual X  rare less real Xu less real You X Sj  (1,(13))  X Sx  (1,e) less rare real Wei real Hai rare 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: 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 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 less  real Hai X Sx   real Xu X Sx  rare less  real Wu X Sj   real Wei X Sj  less 107 less www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017    real Shen S X  real You S X rare less    virtual Si X K  virtual Shen X K more  real Zi X less 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 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. 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  13   ( x)2 (1  c) 1  c  0. 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 ( 1  2 3 )  (1  2 3 ) is the weaker the use, which dues to 3  c ( x) is the greater the use. The transferring way can make both 1  3  0 and 2  13  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 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 RACGGF 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 RACGGF 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 108 www.erpublication.org RPI for the Wood 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) 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 energy of the mother S X of X , and at the same time, to increase the energy of the bane X K of S X . # Remark 5. Treatment principle of Theorem 4.1 is based on ranges of the economy inflation rate. The one of RACGGF inflation rate is called the treatment principle of TCE, since it is in order to protect and maintain the balance of two incompatibility relations: the loving or liking relationship and the killing or liking relationship. For the unhealthy economy where x  a or x  b , the treatment principle is the method for doing so in the following: The primary treatment is to increase or decrease the energy of X directly corresponding to x  a or x  b respectively, and the secondary treatment is to increase the energy of X S or X K while to decrease the energy of K X or S X , 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 respectively. The method for doing so can improve the killing or liking relationship to develop since real X S or X K can kill virtual K X or S X respectively. The killing or liking relationship to develop means that both 1  3   ( x)(1  c) and 2  13   ( 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 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 virtual X and real X K occurrence corresponding to 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 109 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 of KX or X while decrease the energy of X or X K respectively. 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 1  3   ( x)(1  c) and 2  13   ( x)2 (1  c) tend to be small 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 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 RACGGF 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 RACGGF 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 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 subsystem may be fire( X S ). (8) If the Hexagram-image belongs the Kun palace X K continuously, then the root-cause of the falling-ill subsystem may be water ( S X ). All laws of Eight palaces are summarized in Figure 5.# Theorem 4.3 Let x i be the one of RACGGF inflation rates for any i (1  i  6) of the steady multilateral system. Denoted the parameters of the normal range as follows 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: ( f1 , f 2 , f3 , f 4 , f5 , f 6 ), where fi  sign( xi  t0i )+(xi  t0i ), 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. # V. CHINESE RPI FOR THE WOOD 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 RACGGF and the annual RACGGF inflation rates can be measured in Tables 4-7. Watching Tables 4-6, the Hexagram-image belongs to the palace: 7, 7, 1, 1, 1, 1, for 1991-1996, respectively. The main palace is 1 as the Qian palace, except for 7 as the Gen palace in 1991 and 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 RPI inflation rate is: 56, 56, 59, 59, 59, 56, for 1991-1996, respectively. Its philosophy meaning is: meaning-less, meaning-less, blankly, blankly, blankly, meaning-less, for 1991-1996, respectively. They are “fierce”. The numbers 56 and 59, which are equal to JiWei and RenXu, respectively, are the main momentum of development. Their comprehensive names are “fire in the sky” and “water in the ocean”, respectively. The former is the weak state of fire in which the Ji earth of ten heavenly stems is in the Crowned state of the Wei fire of twelve earthly branches. The latter is the strong limit state in which the Ren water of ten heavenly stems is in the Crowned state of the Xu earth of twelve earthly branches.Now fire is virtual and water 110 www.erpublication.org RPI for the Wood 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) is real. The virtual fire makes the consumption of much wood since wood loves fire. The real water makes the wood strengthen since water loves wood. The virtual fire makes the little consumption of wood.It 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 of Eight palaces. Also watching Tables 4-6, the state of the RPI inflation rate is: real, real, 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 RPI inflation rate belongs to “industry” of wood( X ). Also watching Tables 4-6, the state of the GBR inflation rate is:virtual, virtual-normal, real, real-normal, real-normal, real-normal, for 1991-1996, respectively. It means that the subsystem metal( K X ) of the economic social system with a healthy economy encounters an expected real economic disease since the GBR inflation rate belongs to “science,education, and public facilities” of metal( K X ). There are two subsystems wood( X ) and metal( K X ) which have the killing relationship and fall a real disease or an expected real disease. By Definition 3.2 in Zhang [23], the relation economic disease is rare because real-normal metal( K X ) cannot kill real wood( X ) which cannot destroy the balance of the killing relation from metal( K X ) to wood( X ). If metal( K X ) is intervened such that it is from real to virtual, then there is a more serious disease to occur since virtual metal( KX ) cannot kill real wood( X ). Thus the mainly root-cause is the real disease of the subsystem wood( X ). So, at present the most serious problem is to treat the subsystem wood( X ) falling a real disease for an unhealthy sub-economy. It is the case in (4) of Theorem 4.1 for wood( X ). 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 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, 7, 6, 6, 8, for 1997-2003, respectively. The main palace is 6 as the Kan palace, except 7 as the Gen 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 RPI inflation rate is: 10, 10, 10, 13, 10, 10, 10, for 1997-2003, respectively. Its philosophy meaning is: fade, fade, fade, superior, fade, fade, for 1997-2003, respectively. They are “fierce”, except for 2000 “lucky”. The number 10 which is equal to GuiYou is the main momentum of development. Its comprehensive name is “metal of blade”. It is the strong limit state of metal in which the Gui water of ten heavenly stems is the Disease state of the You metal of twelve earthly branches. A lot of wood will be killed since real metal kills virtual wood. This shows that the condition of wood( X ) is a very fierce Yin condition. By Theorem 4.3, the virtual subsystem wood( X ) 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 RPI inflation rate is: virtual, virtual, virtual, real-normal, virtual, virtual, virtual-normal, for 1997-2003, respectively. It means that the subsystem wood( X ) falls a virtual disease for an unhealthy economy since the RPI inflation rate belongs to the “industry” of wood( X ). But also watching 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 CPI inflation rate belongs to“commerce” of earth( X K ). There are two subsystems wood( X ) and earth( X K ) which expected real disease. By (4) of Theorem 4.1 again, the primary treatment is gotten to decrease the energy of the subsystem wood( X ) directly. And the secondary treatment is gotten to decrease the energy of the mother water( S X ) of wood( X ), and at the same have the killing relation and fall virtual diseases. By Definition 3.2 in Zhang [23], the relation disease between virtual wood( X ) and virtual earth( X K ) is rare since virtual time, to increase the energy of the bane earth( X K ) of the killing order from wood( 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 wood( X ) cannot kill virtual earth( X K ) which cannot destroy 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 ). 111 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 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 conforms 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 judgment of Theorem 4.2 in the period of time 1997-2003 by using Eight palaces. By (1) of Theorem 4.1, the subsystem earth( X K ) itself is the root-cause of a happened virtual disease. And the son subsystem metal( K X ) of earth( X K ) is the symptoms of an expected virtual disease. By (1) of Theorem 4.1, the primary treatment is gotten to increase the energy of the subsystem wood( X ) directly. And the secondary treatment is gotten to increase the energy of the 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 fire( X S ) including j jun-fire( X S ) and x xiang-fire( X S )) real water( S X ). By Theorem 4.3, the subsystem earth( X K ) is a Yin issue. It conforms to the judgment of Theorem 4.2 in the 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 Eight palaces. Also watching Tables 4-6 again, the state of the RPI inflation rate is: real, real-normal, real-normal, real-normal, real, virtual, real-normal, real, for 2004-2011, respectively. It means the subsystem wood( X ) is mainly with a healthy sub-economy. It is because the manufacture of large-scale goods or the normal RPI inflation rate belongs to“industry” of the subsystem wood( X ). But the Finance inflation rate is continuously smaller than a 6  2.9515% (deflation) from 2004 to 2008 as virtual, except for 2005 year's normal state. It means the whole economy still is unhealthy. Its some subsystem still has encountered a virtual disease. Observation of the whole economic and social five subsystems, it can be found that there is a virtual disease state of the subsystem earth( X K ). There are two subsystems wood( X ) and earth( X K ) which have the killing relation. But the subsystem wood( X ) is real-normal and the subsystem earth( X K ) falls a virtual disease. By Definition 3.2 in Zhang [23], the relation disease between real wood( X ) and virtual earth( X K ) is less since real wood( X ) can kill virtual earth( X K ) which cannot destroy the while had killing order from wood( X ) to earth( X K ). Now the subsystem decreased in the science and education, such as, a small amount of teachers and researchers for a raise, schools and research institutions self-sustaining, etc.(to decrease the energy of metal( K X )). earth( X K ) can be intervened such that it is from virtual to 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: 1, 5, 5, 1, 1, 8, 5, 1, for 2004-2011, respectively. The main palace is 1 as the Qian palace, 5 as the Xun 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 wood( X ), or metal( K X ), or water( S X ) may be the root cause of a real or virtual disease. Also watching Tables 4-6 again, the number of sixty JiaZi for the RPI inflation rate is: 59, 13, 13, 59, 59, 10, 28, 59, for 2004-2011, respectively. Its philosophy meaning is: blankly, superior, superior, blankly, blankly, fade, patience, for 2004-2011, respectively. They are “fierce”, except for 2005 and 2006 “lucky”. The main number 59, which is equal to RenXu, is the main momentum of development. Its comprehensive name is “water in the ocean”. It is the strong states of water in which the Ren water of ten heavenly stems is in the Crowned state of the Xu earth of twelve earthly branches. The Ren water to Crown makes the consumption of much earth since the earth kills the water. It shows that the condition of earth( X K ) is a very fierce Yin condition since virtual earth( X K ) cannot kill real-normal. So, at present the most serious problem is to treat the subsystem earth( X K ) falling a virtual disease for an unhealthy sub-economy of earth( X K ). 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 conforms 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. By (1) of Theorem 4.1, the subsystem earth( X K ) itself is the root-cause of a happened virtual disease. And the son subsystem metal( K X ) of earth( X K ) is the symptoms of an expected virtual disease. The 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. 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 112 www.erpublication.org RPI for the Wood 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) earth( X K ) directly), but also had increased investment in is the case in (2) of Theorem 4.1 for water( S X ). It conforms to science, education and public facilities, such as to build high speed rail, etc. (to increase the energy of metal( K X )) while had the judgment of Theorem 4.2 in the period of time 2004-2011about water( S X ) by using Eight palaces. And it 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 the root cause of a real or virtual 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 disease. Also watching Tables 4-6 again and again, the number of sixty JiaZi for the RPI inflation rate is:10, 10, 10, for 2012-2014, respectively. Its philosophy meaning is: fade,fade,fade, respectively. They are “fierce”. The number 10 which is equal to GuiYou is the main momentum of development. Its comprehensive name is “metal in blade”. It is the strong state of metal in which the Gui water of ten heavenly stems is in the Disease state of the You metal of twelve earthly branches. The Gui water to Disease needs the consumption of much water. It shows that the condition of water( S X ) is a very fierce Yin condition such that real metal( K X ) cannot love virtual water( S X ). By Theorem 4.3, the subsystem water( S X ) is a Yin issue. It conforms to the judgment of Theorem 4.2 by using Eight palaces. Also watching Tables 4-6 again and again, the state of the RPI inflation rate is: virtual, virtual, virtual, for 2012-2014, respectively. It means that the the subsystem wood( X ) is a happen virtual disease for an unhealthy sub-economy. It is because the manufacture of large-scale goods or the RPI inflation rate belongs to“industry” of the subsystem wood( X ). The virtual disease of wood( X ) is not because of its low energy, but because of its energy is too high to make producing products too much, so much so that there is no way to sell products, low profit of industrial production. In the TCE, this disease is Yang irritability turned to deficiency disease. This disease is not the current urgent problems since it cannot destroy the killing order balance of the economy. But if this virtual-normal disease of wood( X ) is continuously to develop, by Theorems 3.2 and 3.3, the virtual wood( X ) will make its mother subsystem water( S X ) falling a 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 of the subsystem water( S X ) . It 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 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 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( xiang-fire( x XS ) XS ) including jun-fire( j XS ) and ). Therefore, again and again application of nature for the treatment principle of TCE by the Chinese government will lead to economic continue to glory since 2015. 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 RPI inflation rate have short-term forecasting properties. Instead of x1 of the first index of RACGGF inflation rates to x1' of the PPI 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 RACGGF inflation rates x . For the one of RACGGF 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. 113 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 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 RACGGF 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 RACGGF 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 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 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 real 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 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 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 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. 114 www.erpublication.org RPI for the Wood 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) 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 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 ((1,0)+(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 -((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 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). 115 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 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 4 {(1,3)}  {(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). 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 ((1,1)+(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 (1,2)+(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 (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 ((1,4)+(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 ((1,0)+(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 ((1,1)+(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 (0,3) and the synthesized (0,4). Since all elements are balance, 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 ((1,0)+(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 (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 ( 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 (1,2)+((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 ((1,3)+(1,1))+(0,4))=(0,3),{(0,3)}  {(0,3)}= 4 {(0,3)}. 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 ((1,4)+(0,4))-((0,4)+(0,4))=(1,0). 116 www.erpublication.org RPI for the Wood 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 (1,0) 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). 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 ( 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.# REFERENCES [1] P.Levell,“Is the Carli index flawed?: assessing the case for the new retail price index RPIJ”. Journal of the Royal Statistical Society: Series A (Statistics in Society), 02/2015,Vol.178, No.2, pp: 303-336. DOI: 10.1111/rssa.1206 [2] S.P.Wang and X.T.Sun ,“Codependent Cycles of Chinese Inflation”. Journal Social Sciences in China, 2014,Vol.35, No.4, pp: 31-45. http://dx.doi.org/10.1080/02529203.2014.968343 [3] T.M.Crone, N.I.Leonard and V.Richard,“Rents have been rising, not falling, in the postwar period”. Journal of Economics and Behavioral Studies, 2010, Vol.92, No.3 pp: 628-642. doi:10.1162/REST_a_00015 [4] M.J.Boskin, “Causes and Consequences of Bias in the Consumer Price Index as a Measure of the Cost of Living”. Atlantic Economic Journal, 03/2005,Vol.33, No.1, pp: 1-13. doi: 10.1007/s11293-005-1631-6 [5] E.M.Ahmed and S.Z.Suliman,“The Long - Run The Relationship Between Money Supply and Real GDP, and The Price Level: Empirical Evidence From Sudan”. Journal of Business Studies Quarterly, 03/2011, Vol.2, No. 2,pp:68-79 [6] L.A.L.Temitope, “Does the Repurchase Rate Affect Inflation in South Africa? An Empirical Analysis Using an Impulse Response Function”. Journal of Economics and Behavioral Studies,07/2014,Vol.6,No.7 pp: 524‐531. [7] C.W.Su, K.Khan, O.R.Lobont and H.C.Sung, “Is there any Relationship between Producer Price Index and Consumer Price Index in Slovakia? A Bootstrap Rolling Approach 1”. Ekonomicky Casopis, Bratislava,08/2016,Vol.64, No.7, pp: 611-628 [8] R.Gupta and U.Josine, “Evaluating The Welfare Cost Of Inflation In A Monetary Endogenous Growth General Equilibrium Model: The Case Of South Africa”. The International Business & Economics Research Journal, 07/2013, Vol.9, No. 8, pp: 101‐112. [9] M.O.Nicholas, “Exchange Rate Dynamics In South Africa: A Review of Past and Present Regimes” Economics, Management and Financial Markets,06/2015,Vol.10, No.2, pp:77‐95. [10] J.L.Ouyang, M.J.Lu, B.Li, C.Y.Wang and K.Hokao, “Economic analysis of upgrading aging residential buildings in China based on dynamic energy consumption and energy price in a market economy”. Energy Policy, 2011, vol.39, No.9, pp:4902 ‐ 4910. DOI:10.1016/j.enpol.2011.06.025 [11] N.Tom, “Inflation targeting under fire”. African Business,02/2010,Vol.361, pp:56‐57. [12] I.Pauhofova and A.Qineti, “The basic determinants of price development in agriculture and food industry of Slovakia”. Ekonomicky Casopis, 2002, Vol.50, No. 2, pp: 165-181. [13] M.Funke, A.Mehrotra and H.Yu, “Tracking Chinese CPI inflation in real time”. Empir Econ, 2015, Vol.48, pp:1619-1641. doi:10.1007/s00181-014-0837-3 [14] A.Formica and G.Kingston,“Inflation Insurance for Australian Annuitants”. Australian Journal of Management, 12/1991, 1991, Vol.16, No.2, pp:145-163. doi:10.1177/031289629101600203 [15]Y.S.Zhang, “Multilateral Matrix Theory”. Beijing:Chinese Statistics Press, 1993. [16]Y.S.Zhang, “Multilateral System Theory”. http://www.mlmatrix.com, 2007. [17]Y.S.Zhang, “Mathematical reasoning of treatment principle based on Yin Yang Wu Xing theory in traditional Chinese medicine”, Chinese Medicine, 2011, Vol.2, No.1, pp:6-15. doi:10.4236/cm.2011.21002 [18] Y.S.Zhang, “Mathematical reasoning of treatment principle based on Yin Yang Wu Xing theory in traditional Chinese medicine (II)”, Chinese Medicine, 2011, Vol.2, No.4, pp:158-170. doi:10.4236/cm.2011.24026 [19]Y.S.Zhang, “Mathematical reasoning of treatment principle based on the stable logic analysis model of complex systems”, Intelligent control and automation, 2012, Vol.3, No.1, pp:6-15. doi:10.4236/ica.2012.31001 [20]Y.S.Zhang and W.L.Shao, “Image mathematics-mathematical intervening principle based on Yin Yang Wu Xing theory in traditional Chinese mathematics (I)”, Applied Mathematics, 2012, Vol.3, No.2, pp:617-636. doi:10.4236/am.2012.36096 [21]Z.Q.Zhang and Y.S.Zhang, “Mathematical reasoning of economic intervening principle based on Yin Yang Wu Xing theory in traditional Chinese economics (I)”, Modern Economics, 2013, Vol.4, pp:130-144. doi:10.4236/me.2013.42016 [22]N.Q.Feng,Y.H.Qiu, F.Wang, Y.S..Zhang and S.Q.Yin, “A logic analysis model about complex system's stability: enlightenment from nature”. Lecture Notes in Computer Science, 2005, Vol.3644, pp:828-838. doi.org/10.1007/11538059_86 [23]Y.S.Zhang, “CPI from 2% to 5%-Mathematical Reasoning of Economic Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (II)”. International Journal of Health Economics and Policy, 2017 [24]Y.S.Zhang, “RPI for the Wood Subsystem based on Zangxiang and Jingluo -Mathematical Reasoning of Economic Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (III)”. [25]Y.S.Zhang, “RPI for the Wood Subsystem based on Eight Palaces or Eight Veins -Mathematical Reasoning of Economic Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (IV)”. 117 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 118 www.erpublication.org RPI for the Wood 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) 119 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 120 www.erpublication.org RPI for the Wood 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) 121 www.erpublication.org International Journal of Engineering and Technical Research (IJETR) ISSN: 2321-0869 (O) 2454-4698 (P) Volume-7, Issue-12, December 2017 122 www.erpublication.org