The Erdos GroupCorporation is a large assetintegrated group corporationof trans-industry,trans-region.trans-ownership and transnation which was establishedwith the Erdos CashmereGarment Factory as a headunit and based...The Erdos GroupCorporation is a large assetintegrated group corporationof trans-industry,trans-region.trans-ownership and transnation which was establishedwith the Erdos CashmereGarment Factory as a headunit and based on the nationaindustrial policy and thedevelopment strategy of "mainlyrelying on one trade anddeveloping a diversifiedeconomy".At present,theGroup has 33 subordinateenterprises.Of these,thereare 15 joint venture subsidiarycompanies,11 joint ventureholding companies and severstock-participating companiesThese enterprises aredistributed in DongshengHuhehot,Haikou,Shenzhen,Dalian,Beijing,Lhasa,Dingbain,Los Angeles,Cologne,London,Hongkongand Tokyo;65 cashmere giftsspeciality stores have been setup in 50 domestic medium-to-large cities.展开更多
This paper proposes a stochastic dynamics model in which people who are endowed with different discount factors chose to buy the capital stock periodically with different periodicities and are exposed to randomness at...This paper proposes a stochastic dynamics model in which people who are endowed with different discount factors chose to buy the capital stock periodically with different periodicities and are exposed to randomness at arithmetic progression times. We prove that the realization of a stochastic equilibrium may render to the people quite unequal benefits. Its proof is based on Erdös Discrepancy Problem that an arithmetic progression sum of any sign sequence goes to infinity, which is recently solved by Terence Tao [1]. The result in this paper implies that in some cases, the sources of inequality come from pure luck.展开更多
Around 1994,Erdos et al.abstracted from their work the following problem:"Given ten points A<sub>ij</sub>,1≤i【j≤5,on a plane and no three of them being collinear,if there are five points A<sub&g...Around 1994,Erdos et al.abstracted from their work the following problem:"Given ten points A<sub>ij</sub>,1≤i【j≤5,on a plane and no three of them being collinear,if there are five points A<sub>k</sub>,1≤k≤5,on the plane,including points at infinity,with at least two points distinct, such that A<sub>i</sub>,A<sub>j</sub>,A<sub>ij</sub>are collinear,where 1≤i【j≤5,is it true that there are only finitely many such A<sub>k</sub>’s?"Erdos et al.obtained the result that generally there are at most 49 groups of such A<sub>k</sub>’s. In this paper,using Clifford algebra and Wu’s method,we obtain the result that generally there are at most 6 such groups of A<sub>k</sub>’s.展开更多
The present paper is basically written as a non-apologetic strong defence of the thesis that computation is part and parcel of a physical theory and by no means a mere numerical evaluation of the prediction of a theor...The present paper is basically written as a non-apologetic strong defence of the thesis that computation is part and parcel of a physical theory and by no means a mere numerical evaluation of the prediction of a theory which comes towards the end. Various general considerations as well as specific examples are given to illustrate and support our arguments. These examples range from the practical aspect to almost esoteric considerations but at the end, everything converges towards a unity of theory and computation presented in the form of modern fractal logic and transfinite quantum field theory in a Cantorian spacetime. It is true that all our examples are taken from physics but our discussion is applicable in equal measure to a much wider aspect of life.展开更多
文摘The Erdos GroupCorporation is a large assetintegrated group corporationof trans-industry,trans-region.trans-ownership and transnation which was establishedwith the Erdos CashmereGarment Factory as a headunit and based on the nationaindustrial policy and thedevelopment strategy of "mainlyrelying on one trade anddeveloping a diversifiedeconomy".At present,theGroup has 33 subordinateenterprises.Of these,thereare 15 joint venture subsidiarycompanies,11 joint ventureholding companies and severstock-participating companiesThese enterprises aredistributed in DongshengHuhehot,Haikou,Shenzhen,Dalian,Beijing,Lhasa,Dingbain,Los Angeles,Cologne,London,Hongkongand Tokyo;65 cashmere giftsspeciality stores have been setup in 50 domestic medium-to-large cities.
文摘This paper proposes a stochastic dynamics model in which people who are endowed with different discount factors chose to buy the capital stock periodically with different periodicities and are exposed to randomness at arithmetic progression times. We prove that the realization of a stochastic equilibrium may render to the people quite unequal benefits. Its proof is based on Erdös Discrepancy Problem that an arithmetic progression sum of any sign sequence goes to infinity, which is recently solved by Terence Tao [1]. The result in this paper implies that in some cases, the sources of inequality come from pure luck.
基金This paper is supported partially by the NNSF of China
文摘Around 1994,Erdos et al.abstracted from their work the following problem:"Given ten points A<sub>ij</sub>,1≤i【j≤5,on a plane and no three of them being collinear,if there are five points A<sub>k</sub>,1≤k≤5,on the plane,including points at infinity,with at least two points distinct, such that A<sub>i</sub>,A<sub>j</sub>,A<sub>ij</sub>are collinear,where 1≤i【j≤5,is it true that there are only finitely many such A<sub>k</sub>’s?"Erdos et al.obtained the result that generally there are at most 49 groups of such A<sub>k</sub>’s. In this paper,using Clifford algebra and Wu’s method,we obtain the result that generally there are at most 6 such groups of A<sub>k</sub>’s.
文摘The present paper is basically written as a non-apologetic strong defence of the thesis that computation is part and parcel of a physical theory and by no means a mere numerical evaluation of the prediction of a theory which comes towards the end. Various general considerations as well as specific examples are given to illustrate and support our arguments. These examples range from the practical aspect to almost esoteric considerations but at the end, everything converges towards a unity of theory and computation presented in the form of modern fractal logic and transfinite quantum field theory in a Cantorian spacetime. It is true that all our examples are taken from physics but our discussion is applicable in equal measure to a much wider aspect of life.
