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SOME PROPERTIES OF CLOSED-NET-DIAGRAMS OF n k(k≥3) PHASE MULTISYSTEMS
引用本文:郭其悌,蔡晨.SOME PROPERTIES OF CLOSED-NET-DIAGRAMS OF n k(k≥3) PHASE MULTISYSTEMS[J].中国科学B辑(英文版),1982(7).
作者姓名:郭其悌  蔡晨
作者单位:Institute of Geochemistry,Academia Sinica,Guiyang,Institute of Applied Mathematics,Academia Sinica,Beijing
摘    要:In this paper, some properties of closed-net-diagrams (CND's) of n 3 and n 4 phasemultisystems are discussed, and the theorem on the so-called Divariant Assemblage Charac-teristic Stability Polygons is proposed. The theorem states: Any divariant assemblage ofn k(k≥3) phase multisystems can be stable in a k-polygon possessing no diagonals inappropriate closed-net-diagrams at most, and in a triangle at least. Following the proof ofthis theorem, the authors specially emphasize that this theorem does not mean that there mustexist k-polygons possessing no diagonals in each closed-net-diagram or realistic phase diagramof n k phase multisystems, even though the realistic phase diagram has the maximum closure.

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