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中文摘要：
首先，阐述图论中树被推广为新的树一域表示，其包含树和域2部分，且域是众多小树的集合，其二者可以互相转化，是简单性（树）和复杂性（域）的统一，可以用于分析科学、政治、经济、哲学、历史等各方面的复杂系统．进而推广它到整个图论G-（V，E，F），域F是小图的集合．其次，探讨物理理论积分形式的统一和Dirac开方法推广到任意项A2=B2＋C2＋D2＋…开方为A=αB＋βC＋γD＋…，其中α2=β2=γ2…=1．最后，探索一般的复杂性．
英文摘要：
The tree in the graph theory is extended to a new tree-field representation. It includes two parts：tree and field. A field is a set of legion small trees. There can be transformation between tree and field,which is a unification of simphcity （tree） and complexity （field）, and may be applied to various complex systems on science, politics, economy, philosophy, history and so on. Further more, it may be extended to the whole graph theory G = （V,E ,F）, where F is a set of small graphs. Next, it is researched that the integral representations in physical theories are unified and the Dirac extraction is extended to any terms A2=B2＋C2＋D2＋… whose extraction should be A=αB＋βC＋γD＋… and α2=β2=γ2…=1, etc. Finally, the general complexity is searched .
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Exchange-enhanced spin splitting in a two-dimensional electron gas in the presence of spin–orbit int
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