Mathematical Reasoning of Economic Intervening Principle Based on Yin Yang Wu Xing Theory in Traditional Chinese Economics (I)

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1 Moden Econoy,, 4, Publshed Onlne Febuay ( Matheatcal easonn of Econoc Intevenn Pncple Based on Yn Yan Wu n Theoy n Tadtonal Chnese Econocs (I) Zqn Zhan, Ynshan Zhan No Mddle chool of East Chna Noal Unvesty, hanha, Chna chool of Fnance tatstcs, East Chna Noal Unvesty, hanha, Chna Eal: ysh_zhan@6co, yszhan@statecnueducn eceved Octobe, ; evsed Novebe, ; accepted Decebe 5, ABTACT By usn atheatcal easonn, ths pape deonstates the econoc ntevenn pncple: Vtual dsease s to fll hs othe but eal dsease s to ush down hs son ton nhbton of the sae te, suppot the weak based on Yn Yan Wu n Theoy n Tadtonal Chnese Econocs (TCE) We defned enealzed elatons enealzed easonn, ntoduced the concept of steady ultlateal systes wth two non-copatblty elatons, dscussed ts eney popetes Late based on the ntevenn pncple of TCE teated the econoc socety as a steady ultlateal syste, t has been poved that the ntevenn pncple above s tue The kenel of ths pape s the exstence easonn of the non-copatblty elatons n steady ultlateal systes, t accods wth the oental thnkn odel eywods: Tadtonal Chnese Econocs (TCE); Yn Yan Wu n Theoy; teady Multlateal ystes; Opposte Non-Copatblty elatons; de Effects; Ibalance of Econoy; Econoc Css; Econoc Inteventon esstance Poble Man Dffeences between Tadtonal Chnese Econocs Westen Econocs In Westen econocs, the wod econoy coes fo the Geek, ts eann to anae a faly Mateals epesents the acadec on the econoc law wll faly anaeent two wods fo the cobnaton of econoc undestn Westen econocs late nneteenth centuy was ntoduced nto Chna, ntally, econocs to be dectly tanslated as ch natonal polcy, lvn, fnancal anaeent leann wods Fst wth the Chnese chaacte Jn-J-ue ( 经济学 ) tanslaton econocs s a Japanese, then the westen Chnese tanslaton, the wod tanslaton back to Chna by un Zhon-han ( 孙中山 ), becon the oden Chnese of the Jn-J ( 经济 ) o econoy s a wod to anothe souce The ancent Chnese Jn-J ( 经济 ) o econoy, n the 4-th centuy easten te, has been offcally use econoy one wod Jn-J ( 经济 ) s a wod n the fst of the Zhouy ( 周易 ), appea The Jn ( 经 ) explanaton sze that efes to a boad feld (vetcal hozontal felds) J ( 济 ) wod fo the wate, explan fo cossn, that s, cossn the wate Jn-J ( 经济 ) two wods of the act, the ealest the u dynasty n the whole of the sad usc n the atcle of econocal way Onal ntenton s to pont anan adnstaton sevn people, contolln kndo poducn thns, also s the wold to un a eann The ancents speak of econoc n Chnese s a wod to un a wold Ths what we now undest the fnancal econoc copletely dffeent thns o, people n to the basc necesstes, natonal wealth natonal poltcs, othe aspects of the content, t s to use what wods to expess? Onally used the foods oods to sad Food efes to the acultual poducton; Goods eans acultual sdelne poducton the fa cuency (o oney) In addton, also appeaed on fnancal, the pospeous coon people, busness wods In othe wods, n Tadtonal Chnese Econocs (TCE), both poducton anaeent of foods oods ae beleved to as a coplex syste It s because to un a wold s dffcult coplex n whch thee ae the lovn elaton, the klln elaton the equvalent elaton The lovn klln elatons ae non-copatblty elatons, whch can copose the whole eney of the syste eate than o less Copyht ces

2 Z Q ZHANG, Y ZHANG than the su of each pat eney of the syste, aely equal condtons Econocs eans anan o contolln o nteventon fo the socal coplex syste, so on Pusue the oal s the haonous sustanable of the socal coplex syste unde not outwad expanson of the developent condtons But, n Westen econocs, econocs eans oney the actvtes elated to the cuency Both poducton anaeent of oney ae beleved to as a sple syste Money has eveythn A lot of oney can fo a ch econoc socety It s because to un a faly s easy sple n whch thee s only a copatblty elaton o a enealzed equvalent elaton The enealzed equvalent elaton o the copatblty elaton can copose the whole eney of the syste equal to the su of each pat eney of the syste Thus fee copettve can copose the faly syste outwad expanson developent Theefoe, pusue the oal s fee o copetton fo obtann oney n ode to copose the faly syste outwad expanson developent Westen econocs usn fee copetton teats dectly econoc downtun o oveheatn fo Mcoscopc pont of vew, always destoy the onal econoc socety s balance, has none benefcal to econoc socety s unty Westen econoc nteventon ethod can poduce balance of econoy to huan socety, havn ston sde effects Excessvely usn ethods of nteventon econocs can easly paalyss the econoc socety s unty, whch econoc css s a poduct of Westen econocs Usn the ethod of nteventon econocs too lttle can easly poduce the econoc nteventon esstance poble Tadtonal Chnese Econocs (TCE) studes the wold fo the Macoscopc pont of vew, ts taet s n ode to antan the onal balance of econoc socety syste n ode to enhance the econoc socety s unty TCE beleves that each econoc nteventon has one-thd of badness he neve encouaes ovenent to use econoc nteventon n lon te The deal way s Wu We E Wu Bu Wu ( 无为而无不为 ) by don nothn, eveythn s done TCE has ove 5-yea hstoy It has alost none sde effect o econoc nteventon esstance poble Afte lon peod of pactcn, ou ancent econoc scentsts use Yn Yan Wu n Theoy extensvely n the tadtonal econoc ntevenn pncple to explan the on of foods oods, the law of econoc socety, econoc chanes, econoc downtun o oveheatn danoss, econoc css peventon, so on It has becoe an potant pat of the TCE Yn Yan Wu n Theoy has a ston nfluence to the foaton developent of tadtonal Chnese econoc theoy As s known to all, Chna n ecent decades, econoy has ade eat stdes n developent Its eason s dffcult to say the ntoducton of westen econocs, the fact that the Chnese tadtonal phlosophy cultue s n all knds of econoc decson plays a ole He any econoc ntevenn ethods coe fo the tadtonal Chnese edcne snce both huan body econoc socety ae all coplex systes But, any Chnese foen scholas stll have soe questons on the easonn of TCE In ths atcle, we wll stat to the westen wold fo pesentaton of tadtonal Chnese econoy ntoduced soe atheatcal loc analyss concept Zhan s theoes, ultlateal atx theoy [] ultlateal syste theoy [-9], have ven a new ston atheatcal easonn ethod fo aco (Global) analyss to co (Local) analyss He hs colleaues have ade soe atheatcal odels ethods of easonn [-5], whch ake the atheatcal easonn of TCE possble based on Yn Yan Wu n Theoy [6-8] Ths pape wll use steady ultlateal systes to deonstate the ntevenn pncple of TCE: eal dsease fo econoc ove-heatn s to ush down hs son but vtual dsease fo econoc downtun s to fll hs othe ton nhbton of the sae te, suppot the weak The atcle poceeds as follows ecton contans basc concepts an theoes of steady ultlateal systes whle the ntevenn pncple of TCE s deonstated n ecton oe dscussons n TCE ae ven n ecton 4 conclusons ae dawn n ecton 5 Basc Concept of teady Multlateal ystes In the eal wold, we ae enlhtened fo soe concepts phenoena such as bosphee, food chan, ecolocal balance etc Wth eseach pactce, by usn the theoy of ultlateal atces [] analyzn the condtons of syety [-4] othoonalty [5-5] what a stable syste ust satsfy, n patcula, wth analyzn the basc condtons what a stable wokn pocedue of ood poduct qualty ust satsfy [9,9], we ae nsped fnd soe ules ethods, then pesent the loc odel of analyzn stablty of coplex systes-steady ultlateal systes [-9] Thee ae a nube of essental easonn ethods based on the stable loc analyss odel, such as tanston easonn, atavs easonn, enetc easonn etc We stat stll use concepts notatons n papes [-6] Genealzed elatons easonn Let V be a non-epty set defne ts coss poduct as VV x, y : xv, y V A enealzed elaton of V s a non-epty subset V V TCE anly eseaches enealzed elaton ules fo eneal V athe than fo specal V Copyht ces

3 Z Q ZHANG, Y ZHANG Fo a elaton set,,, defne both an nvese elatonshp of a elaton ultplcaton between as follows:, :, x y y x And * x, y: thee s at least an u V such that x, u ( uy, ) } The elaton s called easonable f A enealzed easonn of eneal V s defned as fo * thee s a elaton k such that * k The enealzed easonn satsfes the assocatve law of easonn, e, * * k * * k Ths s the basc equeent of easonn n TCE But thee ae a lot of easonn fos whch do not satsfy the assocatve law of easonn n Westen cence Fo exaple, n tue false bnay of poposton loc, the assocatve law does not hold on ts easonn because false* false* false tue* false false tue false* tue false* false* false Equvalence elatons Let V be a non epty set be ts a elaton We call t an equvalence elaton, denoted by, f the follown thee condtons ae all tue: ) eflexve: x, x fo all x V, e, x x ; ) yetc: f x, y, then y, x, e, f x y, then y x; ) Conveyable (Tanstvty): f x, y, y, z, then x, y, e, f x yy, z, then x z Futheoe, the elaton s called a copatblty elaton f thee s a non-epty subset such that satsfes at least one of the condtons above And the elaton s called a non-copatblty elaton f thee doesn t exst any non-epty subset such that satsfes any one of the condtons above Any one of copatblty elatons can be exped nto an equvalent elaton to soe extent [] Westen cence only consdes the easonn unde one Axo syste such that only copatblty elaton easonn s eseached Howeve thee ae any Axo systes n Natue Tadtonal Chnese cence anly eseaches the easonn aon any Axo systes n Natue Of couse, she also consdes the easonn unde one Axo syste but she only exps the easonn as the equvalence elaton easonn Two nds of Opposte Non-Copatblty elatons Equvalent elatons, even copatblty elatons, cannot potay the stuctue of the coplex systes clealy Fo exaple, assue that A B ae ood fends they have close elatons o ae B C Howeve, you cannot et the concluson that A C ae ood fends We denote A B as that A B have close elatons Then the exaple above can be denoted as: A B, B C do not ply A C, e, the elaton s a non-conveyable (o non-tanstvty) elaton, of couse, a non-equvalent elaton In the follown, we consde two non-copatblty elatons In TCE, any Axo syste s not consdeed, but should fst consde usn a loc syste Beleve that the ules of Heaven the behavo of Huan can follow the sae loc syste ( 天人合一 ) Ths loc syste s equvalent to a oup of coputaton The ethod s to take the eseach obect classfcaton follown the selected loc syste, wthout consden the specfc content of the eseach obect, naely classfcaton takn aes ( 比类取象 ) Analyss of the elatonshp between eseach obects, ake elatonshps wth coputatonal easonn coply wth the selected loc syste opeaton, then n consden the eseach obect of the specfc content of the condtons, accodn to the loc of the selected syste opeaton to solve specfc pobles In atheatcs, the ethod of classfcaton takn aes s explaned n the follown Defnton Defnton uppose that thee exsts a fnte oup G,, of ode whee s dentty Let V be a none epty set satsfyn that V V V whee the notaton eans that V V V, V, V (the follow n the sae) The V s called a facto ae o data ae of oup eleent fo any f V s facto o data V V x, y : xv, y V, whee Denoted the note s the usual Catesan poduct o coss on Defne elatons V V,,,, G whee s called an equvalence ela- ton of V f s dentty; denoted by ; s called a syetcal elaton of V f s s s s s s, s ; denoted by o ; s called a nehbon elaton of V f ;denoted by,, a a a o ; s called an altenate (o Copyht ces

4 Z Q ZHANG, Y ZHANG atavs) elaton of V f a,,, a ; de- a a noted by o # In ths case, the equvalence elatons syetcal elatons ae copatblty elatons but both nehbon elatons altenate elatons ae non-copatblty,,, elatons Fo the ven elaton set these elatons ae all easonn elatons snce the elaton f The equvalence elaton, syetcal elatons s, nehbon elaton altenate elatons a ae all the possble elatons fo the ethod of classfcaton takn aes In ths pape, we anly consde the equvalence elaton, nehbon elaton altenate elatons a Thee s an unque enealzed easonn between the two knds of opposte non-copatblty elatons fo case 5 Fo exaple, let V be a none epty set, thee ae two knds of opposte elatons: the nehbon elaton, denoted x, y by x y the altenate (o atavs) elaton, denoted x, y by x y, the loc easonn achtectue [-9] of Yn Yan Wu n Theoy n Ancent Chna s equvalent to the follown easonn: ) If x, y, y, z, then x, y ; f x, y, y, z, then y, z ; f x, z, y, z then x, y ; ) If x, y, y, z, then zx, ; f zx,, x, y, then y, z ; f y, z, zx,, then x, y The easonn s also equvalent to the follown calculatn *,,,,,4, od(,5) whee 4, od,5 s the addton of odule 5 The two knds of opposte elatons can not be exst sepaately uch easonn can be expessed n Fue The fst tanle easonn s known as a upntanston easonn, whle the second tanle easonn s known as an atavs easonn easonn ethod s a tanle on both sdes decded to any thd sde Both nehbon elatons altenate elatons ae not copatblty elatons, of couse, none equvalence elatons, called non-copatblty elatons the 4 Genetc easonn Let V be a none epty set wth the equvalent elaton, the nehbon elaton the altenate ela- tons a a,,, a denoted by,, espectvely Then a enetc easonn s defned as follows: Fue Tanle easonn ) f x y, y z, then x z ; ) f x y, y z, then x z ; ) f x y, y z, then x z ; 4) f x y, y z, then x z The easonn s also equvalent to the follown calculatn * *,,,, G whee G,, s a fnte oup of ode The enetc easonn s equvalent to that thee s a oup G,, wth the opeaton * such that V can be cut nto V V V whee V ay be an epty set the coespondn elatons of easonn can be wtten as the fos as follows V V,,,, * atsfyn * *,, G 5 teady Multlateal ystes Fo a none epty set V ts a elaton set,,, the fo V, (o sply, V ) s called a ultlateal syste [-9], f V, satsfes the follown popetes: ) V V, e, ) * *,,,, G ) The elaton f 4) Fo *, thee s a elaton k such that * k The 4) s called the easonn, the ) the unqueness of easonn, the ) the heedtay of easonn (o enetc easonn) the ) the equvalent popety of eason- n of both elatons, e, the easonn of s equvalent to the easonn of In ths case, the two-elaton set, s a lateal elaton of V, The s called an equvalence elaton The ultlateal syste V, can be wtten as V Vn,,, Futheoe, the V ae called the state space elaton set consdeed of V,, espectvely Fo a ultlateal syste V,, t s called coplete (o, pefect) f chanes nto = And t s called coplex f thee exsts at least a non-copatblty elaton In ths case, the ultlateal syste s also called a loc analyss odel of coplex systes Let be a non-copatblty elaton A coplex ultlateal syste Copyht ces

5 4 Z Q ZHANG, Y ZHANG V, V Vn,,, s sad as a steady ultlateal syste (o, a stable ultlateal syste) f thee exsts a nube n such that * n whee *** n The condton s equvalent to * n thee s a the chan x,, xn V such that x, x,, xn, x, o x x xn x The steady ultlateal syste s equvalent to the coplete ultlateal syste The stablty defnton ven above, fo a elatvely stable syste, s ost essental If thee s not the chan o ccle, then thee wll be soe eleents wthout causes o soe eleents wthout esults n a syste Thus, ths syste s to be n the state of fndn ts esults o causes, e, ths syste wll fall nto an unstable state, thee s not any stablty to say Theoe The syste V, s a ultlateal syste f only f thee exsts a fnte oup G,, of ode whee s dentty such that the elaton set,, satsfyn *,,,,, # In ths case, the ultlateal syste V, can be wtten as V V,,, satsfyn,,,, V V whee V ay be G an epty set Theoe If the ultlateal syste V, V Vn,,, s a steady ultlateal syste, then n,, s a fnte oup of ode about the elaton ultplcaton * k wheev ust be a non epty set# Defnton uppose that a ultlateal syste V, can be wtten as V V,,, satsfyn V V,,, G *,,,,, The oup G,, of ode whee s dentty s called the epesentaton oup of the ultlateal syste V, The epesentn functon of s defned as follows I x, y : x y,,,,, x yg Let ultlateal systes V,,, be wth two epesentaton oups G,,, espectvely Both ultlateal systes V,,, ae called soophc f the two epesentaton oups G,, ae soophc# Theoes Defntons ae key concepts n ultlateal syste theoy because they show the classfcaton takn aes as the basc ethod In the follown, ntoduce two basc odels to llustate the ethod Theoe uppose that G, wth ultplcaton table * e, the ultplcaton of G s the addton of odule In othe wods, * od, And assue that satsfyn V, V V,, V V,,, od(,) * od(,),, G Then V, s a steady ultlateal syste wth one equvalent elaton one syetcal elaton whch s a sple syste snce thee s not any non-copatblty elaton In othe wods, the elatons s ae the sple fos as follows: I,,,, I,,,, V V # whee s coespondn to It wll be poved that the steady ultlateal syste n Theoe s the easonn odel of Tao ( 道 ) n TCE f thee ae two eney functons V V satsfyn V V, called Dao odel, denoted by V Theoe 4 Fo each eleent x n a steady ultlateal syste V wth two non-copatblty elatons, thee exst fve equvalence classes below:,,, yv y x yv x y y V x y, y V x y, y V y x y V y x Whch the fve equvalence classes have elatons n Fue # It can be poved that the steady ultlateal syste n Theoe 4 s the easonn odel of Yn Yan Wu n n TCE f thee ae fve eney functons (Defned n ecton ),,, satsfyn 5 Called Wu-n odel, denoted by V By Defnton, the Wu-n odel V 5 can be Copyht ces

6 Z Q ZHANG, Y ZHANG 5 Fue The ethod of fndn Wu-n wtten as follows: Defne V, V, V, V, V4, coespondn to wood, fe, sol, etal, wate, assue satsfyn V V V V 4,,, 4 4 V V, G od,5 5 *,, G 5 od(,5) 5 e, the elaton ultplcaton of V s soophc to 5 the addton of odule 5 Then V s a steady ultlateal syste wth one equvalent elaton two non-copatblty elatons 4 These Theoes can been found n [-6,-6] Fue n Theoe 4 s the Fue of Yn Yan Wu n Theoy n Ancent Chna The steady ultlateal syste V wth two non-copatblty elatons s equvalent to the loc achtectue of easonn odel of Yn Yan Wu n Theoy n Ancent Chna What descbes the eneal ethod of coplex systes can be used n econoc coplex syste Eney elatonshp Analyss of teady Multlateal ystes Eney of a Multlateal yste Eney concept s an potant concept n Physcs Now, we ntoduce ths concept to the ultlateal systes (o econoc socety) use these concepts to deal wth the ultlateal syste dseases (econoc downtun o econoc oveheatn) In atheatcs, a ultlateal syste s sad to have Eney (o Dynac) f thee s a none neatve functon * whch akes evey subsyste eannful of the ultlateal syste Fo two subsystes V V of ultlateal syste V, denote V V (o V V, o V V, o V V) eans x x, x V, V (o x x, x V, x V, o x x, x V, x V, o x x, x V, x V) Fo subsystes V V whee V V, Let V, V V, V be the eney functon of V, the eney functon of V the total eney of both V V, espectvely Fo an equvalence elaton V V, f V, V V V (the noal state of the eney of V V ), then the nehbon elaton V V s called that V lkes V whch eans that V s sla to V In ths case, the V s also called the bothe of V whle the V s also called the bothe of V In the causal odel, the V s called the sla faly ebe of V whle the V s also called the sla faly ebe of V Thee ae not any causal elaton consdeed between V V Fo a syetcal elaton V V, f V, V V, V V V V, V (The noal state of the eney of V V ) whee the V, s an nteacton of V V satsfn V, V V, V, then the syetcal elaton V V s called that V s coespondn to V whch eans that V s postvely (o non-neatvely) coespondn to V f V, V (o V, V ) that V s neatvely coespondn to V f V, V In ths case, the V s also called the countepat of V whle the V s also called the countepat of V In the causal odel, the V s called the ecpocal causaton of V whle the V s also called the ecpocal causaton of V Thee s a ecpocal causaton elaton consdeed between V V Fo an nehbon elaton V V, f V, V V, V V V (the noal state of the eney of V V), then the nehbon elaton V V s called that V beas (o loves) V [o that V s bon by (o s loved by) V ] whch eans that V s benefcal on V each othe In ths case, the V s called the othe of V whle the V s called the son of V In the causal odel, the V s called the benefcal cause of V whle the V s called the benefcal effect of V Fo an altenate elatonv V, f V, V V, V V V (the noal state of the eney of V V ), then the altenate elaton V V s called as that V klls (o hates) V [o that V s klled by (o s hated by) V ] whch eans that V s haful on V each othe In ths case, the V s called the bane of V whle the V s called Copyht ces

7 6 Z Q ZHANG, Y ZHANG the psone of V In the causal odel, the V s called the haful cause of V whle the V s called the haful effect of V In the futue, f not othewse stated, any equvalence elaton s the lkn elaton, any syetcal elaton s the ecpocal causaton elaton, any nehbon elaton s the bon elaton (o the lovn elaton), any altenate elaton s the klln elaton uppose V s a steady ultlateal syste havn eney, then V n the ultlateal syste dun noal opeaton, ts eney functon fo any subsyste of the ultlateal syste has an aveae (o expected value n tatstcs), ths state s called noal when the eney functon s nealy to the aveae Noal state s the bette state That a subsyste of a ultlateal syste s not unnn popely (o econoc downtun, econoc oveheatn, abnoal), s that the eney devaton fo the aveae of the subsystes s too lae (o too b), the hh (eal dsease fo econoc oveheatn) o the low (vtual dsease fo econoc downtun) Both econoc oveheatn econoc downtun ae all dseases of econoc socety In a subsyste of a ultlateal syste ben not unnn popely, f ths sub-syste thouh the eney of extenal foces ncease o decease, akn the etun to the aveae (o expected value), ths ethod s called nteventon (o akn an econoc contolln) to the ultlateal syste The pupose of nteventon s to ake the ultlateal syste etun to noal state The ethod of nteventon s to ncease o decease the eney of a subsyste What knd of ntevenn should follow the pncple to teat t? Westen econocs ephaszes dect ntevenn, but the ndect ntevenn of oental econocs s equed In atheatcs, whch s oe easonable? Based on ths dea, any ssues ae woth futhe dscusson Fo exaple, f an econoc ntevenn has been done to an econoc socety, what stuaton wll happen? Inteventon ule of a Multlateal yste Fo a steady ultlateal syste V wth two non-copatblty elatons, suppose that thee s an extenal foce (o an ntevenn foce) on the subsyste of V whch akes the eney of chaned by the nceent, then the enees,,, of othe subsystes,,, (defned n Theoe 4) of V wll be chaned by the nceents,,, espectvely It s sad that the ultlateal syste has the capablty of nteventon eacton f the ultlateal syste has capablty to esponse the nteventon foce If a subsyste of ultlateal syste V s ntevened, then the enees of the subsystes whch have nehbon elatons to wll chane n the sae decton of the foce outsde on We call the benefcaes But the enees of the subsystes whch have altenate elatons to wll chane n the opposte decton of the foce outsde on We call the vcts In eneal, thee s an essental pncple of nteventon: any benefcal subsyste of chanes n the sae decton of, any haful subsyste of chanes n the opposte decton of The sze of the eney chaned s equal, but the decton opposte Inteventon ule: In the case of vtual dsease fo econoc downtun, the ntevenn ethod of nteventon s to ncease the eney If the ntevenn has been done on, the eney nceent (o, ncease deee) of the son of s eate than the eney nceent of the othe of, e, the best benefcay s the son of But the eney decease deee of the psone of s eate than the eney decease deee of the bane of, e, the wost vct s the psone of In the case of eal dsease fo econoc oveheatn, the ntevenn ethod of nteventon s to decease the eney If the ntevenn has been done on, the eney decease deee of the othe of s eate than the eney decease deee of the son of, e, the best benefcay s the othe of But the eney nceent of the bane of s eate than the eney nceent of the psone of, e, the wost vct s the bane of In atheatcs, the chann laws ae as follows ) If, then,,, ; ) If, then,,, ; whee Both ae called nteventon eacton coeffcents, whch ae used to epesent the capablty of nteventon eacton The lae, the bette the capablty of nteventon eacton The state s the best state but the state s the wost state Ths nteventon ule s sla to foce eacton n Physcs In othe wods, f a subsyste of ultlateal syste V has been ntevened, then the eney of subsyste whch has nehbon elaton chanes n the sae decton of the foce, the eney of subsyste whch has altenate elaton chanes n the opposte decton of the foce The sze of the eney chaned s equal, but the decton opposte In eneal, ae deceasn functons of Copyht ces

8 Z Q ZHANG, Y ZHANG 7 the nteventon foce snce the nteventon foce s easly to tansfe all f s sall but the nteventon foce s not easly to tansfe all f s lae The eney functons of coplex syste, the stone the oe you use In ode to anfy, should set up an econoc socety of the nteveneton eacton syste, often use t Econoc ntevenn esstance poble s that such a queston, bennn oe appopate econoc ntevenn ethod, but s no lone vald afte a peod It s because the capablty of nteventon eacton s bad, e, the nteventon eacton coeffcents ae too sall In the state, any econoc ntevenn esstance poble s non-exstence but n the state, econoc ntevenn esstance poble s always exstence At ths pont, the pape advocates the essental pncple of ntevenn to avod econoc ntevenn esstance pobles elf-potecton ule of a Multlateal yste If thee s an ntevenn foce on the subsyste of a steady ultlateal syste V whch akes the eney chaned by nceent such that the enees,,, of othe subsystes,,, (defned n Theoe 4) of V wll be chaned by the nceents,,,, espectvely, then can the ultlateal syste V has capablty to potect the wost vct to estoe? It s sad that the steady ultlateal syste has the capablty of self-potecton f the ultlateal syste has capablty to potect the wost vct to estoe The capablty of self-potecton of the steady ultlateal syste s sad to be bette f the ultlateal syste has capablty to potect all the vcts to estoe In eneal, thee s an essental pncple of self-potecton: any haful subsyste of should be potected by usn the sae nteventon foce but any benefcal subsyste of should not elf-potecton ule: In the case of vtual dsease fo econoc downtun, the ntevenn ethod of nteventon s to ncease the eney If the ntevenn has been done on by the nceent, the wost vct s the psone of whch has the nceent Thus the ntevenn pncple of self-potecton s to estoe the psone of the eston ethod of self-potecton s to ncease the eney of the psone of by usn the nteventon foce on accodn to the nteventon ule In eneal, the ncease deee s whee In the case of eal dsease fo econoc oveheatn, the ntevenn ethod of nteventon s to decease the eney If the ntevenn has been done on by the nceent, the wost vct s the bane of whch has the nceent Thus the ntevenn pncple of self-potecton s to estoe the bane of the eston ethod of selfpotecton s to decease the eney of the bane of by usn the sae nteventon foce on accodn to the nteventon ule In eneal, the decease deee s whee In atheatcs, the follown self-potecton laws hold ) If, then the eney of subsyste wll decease the nceent, whch s the wost vct o the capablty of self-potecton nceases the eney of subsyste by nceent whee, n ode to estoe the wost vct by accodn to the nteventon ule ) If, then the eney of subsyste wll ncease the nceent, whch s the wost vct o the capablty of self-potecton deceases the eney of subsyste by nceent whee, n ode to estoe the wost vct by accodn to the nteventon ule In eneal, The s the nteventon eacton coeffcent The s called a self-potecton coeffcent, whch s used to epesent the capablty of self-potecton The lae, the bette the capablty of self-potecton The state s the best state but the state s the wost state of selfpotecton Accodn to the eneal econoy of the potecton pncple, should be not eate than snce the pupose of potecton s to estoe the vcts not ewad the vcts The self-potecton ule can be explaned as: the eneal pncple of self-potecton subsyste s that the ost affected s potected fstly, the potecton ethod nteventon foce ae n the sae way In eneal, s also a deceasn functon of the nteventon foce snce the wost vct s easly to estoe all f s sall but the wost vct s not easly to estoe all f s lae The eney functon of coplex syste, the stone the oe you use In ode to anfy, should set up an econoc socety of the self-potecton syste, often use t Theoe uppose that a steady ultlateal syste V whch has eney functon * capabltes of nteventon eacton self-potecton s wth nteventon eacton coeffcents, wth self-potecton coeffcent If the capablty of self-potecton wants to estoe both subsystes, then the follown stateents ae tue ) In the case of vtual dsease, the teatent ethod s to ncease the eney If an nteventon foce on the subsyste of steady ultlateal syste V s - Copyht ces

9 8 Z Q ZHANG, Y ZHANG pleented such that ts eney by nceent has been chaned, then all fve subsystes wll be chaned fnally by the nceents as follows:,,, (), ) In the case of eal dsease, the teatent ethod s to decease the eney If an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that ts eney has been chaned by nceent, then all fve subsystes wll be chaned by the nceents as follows:,,, (), whee the * s ae the nceents unde the capablty of self-potecton# Coollay uppose that a steady ultlateal syste V whch has eney functon * capabltes of nteventon eacton self-potecton s wth nteventon eacton coeffcents, wth self-potecton coeffcent Then the capablty of self-potecton can ake both subsystes to be estoed at the sae te, e, the capablty of self-potecton s bette, f only f # de effects of econoc ntevenn pobles wee the queston: n the econoc ntevenn pocess, destoyed the noal balance of non-fall ll subsyste o non-nteventon subsyste By Theoe Coollay, t can be seen that f the capablty of self-potecton of the steady ultlateal syste s bette, e, the ultlateal syste has capablty to potect all the vcts to estoe, then a necessay suffcent condton s Geneal fo a stable coplex syste of econoc socety, the condton s easy to eet snce t can estoe two subsystes by Theoe, but the condton s dffcult to eet snce t only can estoe one subsyste by Theoe At ths pont, the pape advocates the pncple to avod any sde effect of ntevenn 4 Matheatcal easonn of Intevenn Pncple by Usn the Nehbon elatons of teady Multlateal ystes Intevenn pncple by usn the nehbon elatons of steady ultlateal systes s Vtual dsease fo econoc downtun s to fll hs othe but eal dsease fo econoc oveheatn s to ush down hs son In ode to show the atonalty of the ntevenn pncple, t s needed to pove the follown theoes Theoe uppose that a steady ultlateal syste V whch has eney functon capabltes of nteventon eacton self-potecton s wth nteventon eacton coeffcents, wth self-potecton coeffcent satsfyn Then the follown stateents ae tue In the case of vtual dsease, f an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that ts eney nceases the nceent, then the subsystes, can be estoed at the sae te, but the subsystes wll ncease the enees by the nceents espectvely On the othe h, n the case of eal dsease, f an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that ts eney deceases, e, by the nceent, the subsystes, can also be estoed at the sae te, the subsystes wll decease the enees, e, by the nceents espectvely# Theoe Fo a steady ultlateal syste V whch has eney functon * capabltes of ntevenn eacton self-potecton, assue nte- Copyht ces

10 Z Q ZHANG, Y ZHANG 9 venton eacton coeffcents ae, let the self-potecton coeffcent be, whch satsfy, whee (the follown the sae) s the soluton of Then the follown stateents ae tue ) In the case of vtual dsease, f an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that ts eney has been chaned by nceent, then the fnal nceent of the eney of the subsyste chaned s eate than o equal to the fnal nceent of the eney of the subsyste chaned based on the capablty of self-potecton ) In the case of eal dsease, f an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that ts eney has been chaned by nceent, then the fnal nceent of the eney of the subsyste chaned s less than o equal to the fnal nceent of the eney of the subsyste chaned based on the capablty of selfpotecton # Coollay Fo a steady ultlateal syste V whch has eney functon * capabltes of ntevenn eacton self-potecton, assue nteventon eacton coeffcents ae, let the self-potecton coeffcent be, whch satsfy, Then the follown stateents ae tue ) In the case of vtual dsease, f an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that ts eney has been chaned by nceent, then the fnal nceent of the eney of the subsyste chaned s less than the fnal nceent of the eney of the subsyste chaned based on the capablty of self-potecton ) In the case of eal dsease, f an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that such that ts eney has been chaned by nceent, then the fnal nceent of the eney of the subsyste chaned s eate than the fnal nceent of the eney of the subsyste chaned based on the capablty of selfpotecton# By Theoes Coollay, the nteventon ethod of Vtual dsease fo econoc downtun s to fll hs othe but eal dsease fo econoc oveheatn s to ush down hs son should be often used n case:, snce n ths te, 5 Matheatcal easonn of Intevenn Pncple by Usn the Altenate elatons of teady Multlateal ystes Intevenn pncple by usn the altenate elatons of steady ultlateal systes s ton nhbton of the sae te, suppot the weak In ode to show the atonalty of the ntevenn Pncple, t s needed to pove the follown theoes Theoe 4 uppose that a steady ultlateal syste V whch has eney functon * capabltes of nteventon eacton self-potecton s wth nteventon eacton coeffcents, wth self-potecton coeffcent Then the follown stateents ae tue Assue thee ae two subsystes of V wth an altenate elaton such that encountes vtual dsease, at the sae te, befalls eal dsease If an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that ts eney has been chaned by nceent, at the sae te, anothe nteventon foce on the subsyste of steady ultlateal syste V s also pleented such that ts eney has been chaned by nceent, then all othe subsystes:, can be estoed at the sae te, the subsystes wll ncease decease the enees by the sae sze but the decton opposte, e, by the nceents espectvely Assue thee ae two subsystes of V wth an altenate elaton such that encountes eal dsease, at the sae te, befalls vtual dsease If an nteventon foce on the subsyste of steady ultlateal syste V s pleented such that ts eney has been chaned by nceent, at the sae te, anothe nteventon foce on the subsyste of steady ultlateal syste V s also pleented such that ts eney has been chaned by nceent, then all othe subsystes:, can be estoed at the sae te, the subsystes wll decease ncease the enees by the sae sze but the decton opposte, e, by the nceents Copyht ces

11 4 Z Q ZHANG, Y ZHANG espectvely # By Theoes 4 Coollay, the ethod of ton nhbton of the sae te, suppot the weak should be used n case:, snce 4 atonalty of Intevenn Pncple of Tadtonal Chnese Econocs Yn Yan Wu n Theoy 4 Tadtonal Chnese Econocs Yn Yan Wu n Theoy Ancent Chnese Yn Yan Wu n [8] Theoy has been suvvn fo seveal thouss of yeas wthout dyn out, povn t easonable to soe extent If we ead as the sae cateoy, the nehbon elaton as benefcal, haony, obedent, lovn, etc the altenate elaton as haful, conflct, unous, klln, etc, then the above defned stable loc analyss odel s sla to the loc achtectue of easonn of Yn Yan Wu n Both Yn Yan ean that thee ae two opposte elatons n the wold: haony o lovn conflct o klln, as well as a eneal equvalent cateoy Thee s only one of thee elatons, between evey two obects Eveythn akes soethn, s ade by soethn ; Eveythn estans soe-, s estaned by soethn thn ; e, one thn ovecoes anothe thn one thn s ovecoe by anothe thn The eve chann wold V, follown the elatons:,, ust be dvded nto fve cateoes by the equvalent elaton, ben called Wu n : wood ( ), fe ( ), sol ( ), etal ( ), wate ( ) The Wu n s to be nehbo s fend : wood ( ) fe ( ) sol ( ) etal ( ) wate( ) wood ( ), altenate s foe : wood ( ) sol ( ) wate ( ) fe ( ) etal ( ) wood( ) In othe wods, the eve chann wold ust be dvded nto fve cateoes: V atsfyn And whee eleents n the sae cateoy ae equvalent to one anothe We can see, fo ths, the ancent Chnese Yn Yan Wu n theoy s a easonable loc analyss odel to dentfy the stablty elatonshp of coplex econoc systes TCE fstly use the vefyn elatonshp ethod of Yn Yan Wu n Theoy to explan the elatonshp between econoc socety envonent econdly, based on Yn Yan Wu n Theoy, the elatons of developent pocesses of econoc socety can be shown by the nehbon elaton altenate elaton of fve subsets Then a noal econoc socety can be shown as a steady ultlateal syste snce thee ae the lovn elaton the klln elaton the lkn elaton The lovn elaton n TCE can be explaned as the nehbon elaton, called hen ( 生 ) The klln elaton n TCE can be explaned as the altenate elaton, called e ( 克 ) The lkn elaton can be explaned as the equvalent elaton, called Ton-Le ( 同类 ) Constants conveson between fve subsets ae equvalent to the two knds of tanle easonn o a noal econoc socety can be classfed nto fve equvalence classes Fo exaple, n TCE, an econoc coplex syste s sla to a huan body A noal econoc socety follown the Yn Yan Wu n Theoy was classfed nto fve equvalence classes as follows: wood ( ) = {ndusty, leslatue, contve, stuctue, oods, spn, bth}; fe ( ) = {acultue, adnstatve nsttutons, developent, fluctuatons, foods, sue, owth }; sol ( ) = {coece, eda oanzatons, coodnaton, haonous, oney, lon-sue, cobned}; etal ( ) = {educaton, non-ovenental nsttutons, functon, qualty, knowlede, autun, accept}; wate ( ) = {ay, supevsoy oan, sk, cost, weapons, wnte, hdn} Thee s only one of both lovn hatn (o klln) elatons between evey two classes Geneally speakn, close s love, altenate s hate In evey cateoy of ntenal, thnk that they ae equvalent elatonshp, between each two of the eleents thee s a foce of sla ateal accuulaton of each othe It s because the pusut of the oal s the sae, e, follows the sae Axo syste It can ncease the eney of the class f they accuulate toethe Any natue ateal actvty follows the pncple of axzn so eney In eneal, the sze of the foce of sla ateal accuulaton of each othe s salle than the sze of the lovn foce o the klln foce n a stable econoc coplex syste The stablty of any econoc coplex syste fst needs to antan the equlbu of the klln foce the lovn foce Fo Copyht ces

12 Z Q ZHANG, Y ZHANG 4 a stable econoc coplex syste, f the klln foce s lae, e, becoes lae, then the lovn foce s lae the foce of sla ateal accuulaton of each othe s also lae They can ake the econoc coplex syste oe stable If the klln foce s sall, e, becoes salle, then the lovn foce s sall the foce of sla ateal accuulaton of each othe s also sall They can ake the econoc coplex syste becon unstable It has been shown n Theoes -4 that the classfcaton of fve subsets s qute possble based on the atheatcal loc As fo the chaactestcs of the fve subsets s easonable o not It s need oe eseach wok It has been also shown n Theoes -4 that the local bass of TCE s a steady ultlateal syste The vo eney (o foce, essence, Ch, spt) of TCE eans the eney functon n a steady ultlateal syste Thee ae two knds of econoc dsease n TCE: eal dsease o econoc oveheatn vtual dsease o econoc downtun They eneally ean the subsyste s abnoal, ts eney s too hh as eal dsease fo econoc oveheatn; o ts eney s too low as vtual dsease fo econoc downtun The ntevenn ethod of TCE s to xe Ch whch eans to ush down the eney f a eal dsease fo econoc oveheatn s teated, o to bu Ch whch eans to fll the eney f a vtual dsease fo econoc downtun s teated Lke ntevenn the subsyste, decease when the eney s too hh, ncease when the eney s too low Both the capablty of nteventon eacton the capablty of self-potecton of the ultlateal syste ae equvalent to the Iunzaton of TCE Ths capablty s eally exstence fo a coplex econoc socety Its taet s to potect othe econoc subsyste whle teatn one econoc subsyste It s because f the capablty s not exstence, then In ths te, the eney of the syste wll be the su of eney of each pat Thus the econoc syste wll be a sple econoc syste whch s not what we consde ane 4 Intevenn Pncple If Only One ubsyste of the Econoc ocety Falls Ill If we always ntevene the abnoal subsyste of the econoc socety syste dectly, the nteventon ethod always destoy the balance of the econoc socety syste because t s havn ston sde effects to the othe o the son of the subsyste whch ay be nondsease of econoc subsyste o non-ntevened subsyste by usn Theoe The ntevenn ethod also wll decease the capablty of nteventon eacton because the ethod whch doesn t use the capablty of nteventon eacton akes the nea to The state s the wost state of the econoc socety syste, naely Econoc Css On the way, the econoc ntevenn esstance poble wll occu snce any econoc ntevenn ethod s possble too lttle fo soe sall But, by Coollay, t wll even be bette f we ntevene subsyste tself dectly when, In ths case: It can be explaned that f a ultlateal syste whch has a poo capablty of nteventon eacton, then t s bette to ntevene the subsyste tself dectly than ndectly But sla to above, the nteventon ethod always destoys the balance of ultlateal systes such that thee s at least one sde effect occun And the nteventon ethod also has haful to the capablty of nteventon eacton akn the econoc ntevenn esstance poble also occu Theefoe the nteventon ethod dectly can be used n case, but should be used as lttle as possble If we always ntevene the abnoal subsyste of the econoc socety syste ndectly, the nteventon ethod can be to antan the balance of the econoc socety syste because t has not any sde effect to all othe subsystes whch ae not both the econoc dsease subsyste the ntevened subsyste by usn Theoe The ntevenn ethod also nceases the capablty of nteventon eacton because the ethod of usn the nteventon eacton akes the nea to The state s the best state of the econoc socety syste On the way, t s alost none econoc ntevenn esstance poble snce any econoc ntevenn ethod s possble ood fo soe lae Fo exaple, n Chna, any local acultual developent s nsuffcent (e, falls vtual dsease), the local fequently used ethod s to use ndustal keep acultue (e, to ncease the eney of whch s the othe of ) The dea s pecsely Vtual dsease fo econoc downtun s to fll hs othe f one subsyste of econoc socety falls vtual ll All n all, the econoc socety syste satsfes the nteventon ule the self-potecton ule It s sad a healthy econoc socety f the nteventon eacton coeffcent satsfes In loc pactce, t s easonable nea to snce an econoc output subsyste s absolutely necessay socal othe subsystes of all consupton In case:, all the eney fo ntevenn econoc socety subsyste can tanst to othe econoc socety subsystes whch have nehbon elatons o altenate elatons wth the Copyht ces

13 4 Z Q ZHANG, Y ZHANG ntevenn econoc socety subsyste The condton can be satsfed when fo an econoc socety snce ples If ths assuptons s set up, then the ntevenn pncple: eal dsease fo econoc downtun s to ush down hs son vtual dsease fo econoc downtun s to fll hs othe based on Yn Yan Wu n Theoy n TCE, s qute easonable But, n eneal, the ablty of self-potecton often s nsuffcent fo an usual econoc socety, e, s sall A coon stad s, e, thee s a pncple whch all losses ae bea n econoc socety Thus the eneal condton often s Inteestn, they nea to the olden nubes On the othe h, n TCE, eal dsease fo econoc oveheatn vtual dsease fo econoc downtun has the easons eal dsease fo econoc oveheatn s caused by the bon subsyste vtual dsease fo econoc downtun s caused by the bea subsyste Althouh the eason can not be poved easly n atheatcs o expeents, the ntevenn ethod unde the assupton s qute equal to the ntevenn ethod n the nteventon ndectly It has also poved that the econoc ntevenn pncple s tue fo the othe sde 4 Intevenn Pncple If Only Two ubsystes wth the Lovn elaton of the Econoc ocety yste Encounte ck uppose that the two subsystes of the econoc socety syste ae abnoal (econoc downtun o oveheatn) In the econoc socety of two noncopatble elatons wth constants, only two stuatons ay occu: ) encountes vtual dsease fo econoc downtun, at the sae te, befalls vtual dsease fo econoc downtun, e, the eney of s too low the eney of s also too low It s because beas The econoc downtun causal s ) encountes eal dsease fo econoc oveheatn, at the sae te, befalls eal dsease fo econoc oveheatn, e, the eney of s too hh the eney of s also too hh It s because s bon by The econoc downtun causal s It can be shown by Theoe that when nteventon eacton self-potecton coeffcents satsfy that,, f one wants to teat the abnoal subsystes, then ) In vtual dsease fo econoc downtun, the one should ntevene subsyste dectly by nceasn ts eney It eans vtual dsease fo econoc downtun s to fll hs othe because the econoc downtun causal s ; ) In eal dsease fo econoc oveheatn, the one should ntevene subsyste dectly by deceasn ts eney It eans eal dsease fo econoc oveheatn s to ush down hs son because the econoc downtun causal s Fo exaple, n Chna, any local the oney ( ) s vtual (cuency devaluaton) the food ( ) s also vtual (nflaton of food pces), the local fequently used ethod s anly to ncease the supply of food (e, to ncease the eney of whch s the othe of ), n ode to contol the pce of food cannot se The dea s pecsely Vtual dsease fo econoc downtun s to fll hs othe f two lovn subsystes (as ) (as ) of econoc socety fall vtual ll The nteventon ethod can be to antan the balance of the econoc socety because only two econoc downtun subsystes ae teated, by usn Theoe, such that thee s not any sde effect fo all othe subsystes And the nteventon ethod can also be to enhance the capablty of nteventon eacton because the ethod of usn nteventon eacton akes the eate nea to The state s the best state of the econoc socety syste On the way, t alost have none econoc ntevenn esstance poble snce any econoc ntevenn ethod s possble ood fo soe lae 44 Intevenn Pncple If Only Two ubsystes wth the lln elaton of the Econoc ocety yste Encounte ck uppose that the subsystes of an econoc socety syste ae abnoal (econoc downtun o oveheatn) In the econoc socety syste wth the constants of two non-copatble elatons, only a stuaton ay occu: encountes vtual dsease fo econoc downtun, at the sae te, befalls eal dsease fo econoc oveheatn, e, the eney of s too low the eney of s too hh The dsease s seous because has haed the by usn the ethod of ncest such that the kn elaton between s daaed It can be shown by Theoe 4 that when nteventon eacton self-potecton coeffcents satsfy,, f one wants to teat the abnoal subsystes, the one should ntevene subsyste dectly by nceasn ts en- Copyht ces

14 Z Q ZHANG, Y ZHANG 4 ey, at the sae te, ntevene subsyste dectly by deceasn ts eney It eans that ton nhbton of the sae te, suppot the weak Fo exaple, thty yeas ao, Chna s socal coodnaton functon s vey ood, socety s fe wth aveae socalst, ndusty s vey poo In addton, the econoc socety s not ch In othe wods, falls vtual dsease at the sae te, befalls eal dsease The dsease s seous because has haed the by usn the ethod of ncest such that cannot kll, whch has daaed the kn elaton between of the econoc socety The condton that, can thnk t s tue snce the econoc socety s not ch althouh socal nteventon esponse ablty self-potecton ablty s ood In ode to cue the seous dsease, Den ao- Pn s takn ethod s to beak the on bowl (to fll up, stenthen leslaton ndustal ncoe), to allow a few people to et ch (to ush down, abate the coodnated ablty) The dea s ton nhbton of the sae te, suppot the weak f falls vtual dsease at the sae te, befalls eal dsease The nteventon ethod can be to antan the balance of econoc socety syste because only two econoc downtun subsystes ae teated, by usn Theoe 4, such that thee s not any sde effect fo all othe subsystes And the nteventon ethod can also be to enhance the capablty of self-potecton because the ethod of usn the capablty of self-potecton akes the eate nea to The state s the best state of the steady ultlateal syste On the way, t alost have none econoc ntevenn esstance poble snce any econoc ntevenn ethod s possble ood fo soe lae ρ ρ 5 Conclusons Ths wok shows how to teat the econoc dseases (downtun o oveheatn) of an econoc socety syste thee ethods ae pesented If only one subsyste falls ll, anly the ntevenn ethod should be to ntevene t ndectly fo case:,, accodn to the ntevenn pncple of eal dsease fo econoc oveheatn s to ush down hs son but vtual dsease fo econoc downtun s to fll hs othe The nteventon ethod dectly can be used n case:, but should be used as lttle as possble If two subsystes wth the lovn elaton encounte sck, the ntevenn ethod should be ntevene the dectly also accodn to the ntevenn pncple of eal dsease fo econoc oveheatn s to ush down hs son but vtual dsease fo econoc downtun s to fll hs othe If two subsystes wth the klln elaton encounte sck, the ntevenn ethod should be ntevene the dectly accodn to the ntevenn pncple of ton nhbton of the sae te, suppot the weak Othe popetes, such as balanced, odely natue of Wu-n, so on, wll be dscussed n the next atcles 6 Acknowledeents Ths atcle has been epeatedly nvted as epots, such as The enn Unvesty of Chna, Ben Noal Unvesty, Fudan Unvesty, hanx Unvesty, uchan Collee, so on The wok was suppoted by pecalzed eseach Fund fo the Doctoal Poa of Hhe Educaton of Mnsty of Educaton of Chna (Gant No 869) EFEENCE [] Y Zhan, Theoy of Multlateal Matces, Chnese tate Pess, 99 [] Y Zhan, Theoy of Multlateal ystes, 7 [] Y Zhan, Matheatcal easonn of Teatent Pncple Based on Yn Yan Wu n Theoy n Tadtonal Chnese Medcne, Chnese Medcne, Vol, No,, pp 6-5 do:46/c [4] Y Zhan, Matheatcal easonn of Teatent Pncple Based on Yn Yan Wu n Theoy n Tadtonal Chnese Medcne(II), Chnese Medcne, Vol, No 4,, pp 58-7 [5] Y Zhan, Matheatcal easonn of Teatent Pncple Based on the table Loc Analyss Model of Coplex ystes, Intellent Contol Autoaton, Vol, No,, pp 6-5 [6] Y Zhan W L hao, Iae Matheatcs Matheatcal Intevenn Pncple Based on Yn Yan Wu n Theoy n Tadtonal Chnese Matheatcs (I), Appled Matheatcs, Vol No 6,, pp do:46/a696 [7] Y Zhan, Mao, C Z Zhan Z G Zhen, table tuctue of the Loc Model wth Two Causal Effects, Chnese Jounal of Appled Pobablty tatstcs, Vol, No 4, 5, pp [8] C Luo, P Chen Y Zhan, The Tunn Pont Analyss of Fnance Te ees, Chnese Jounal of Appled Pobablty tatstcs, Vol 6, No 4,, pp [9] Y Zhan, Q Zhan Y L, A Lanuae Gude Applcaton, hanx People s Pess, hanx, [] Y Zhan Mao, The On Developent Phlosophy Theoy of tatstcs, tatstcal eseach, Vol, 4, pp 5-59 [] C Luo, L Zhan Y Zhan, yetcal Fae Isoophs Class Count The New Thnkn of Dealn wth Coplex ystes ees Eht, Jounal of Copyht ces