冪等射 的英文怎麼說
中文拼音 [mìděngshè]
冪等射
英文
idempotent morphism-
All the contents are developed around a set of scaling laws taking the form of exponentials which relate to almost all the issues of complexity including fractals, chaos, strange attractors, localization, and symmetry breaking, etc. the main work can be summarized as follows : starting from the law of allmetric growth three fractal dimensions in a broad sense are derived, and according to these dimensions, geographical space is divided into three levels, i. e., real space, phase space, and order space, each of which corresponds to a kind of dimension. based on the idea of spatial disaggregation and using the rmi ( relationship - mapping - reversion ) principle, the urban system is formulated as three scaling laws of the three spaces, including number law, size law, and area law, which can be transformed into a set of power laws such as allometric law and zipf ’ s law associated with fractal structure
從異速生長律的縱向、橫向和切向三個角度將地理空間劃分為實空間、相空間和序空間，分別對應于空間系列、時間序列和等級序列三個層面，每個層面的測度各有自己的空間維度。基於「空間循環細分-等級體系-網路結構」的數理等價關系，利用rmi （關系-映射-反演）原則，成功地實現了城市系統宏觀模型的理論抽象，將空間復雜性問題表徵為簡單的指數式標度定律（包括數量律、規模律和尺度律） ，這一組標度律可以與一組冪次定律（包括具有分形性質的規模-數目律、異速生長定律和三參數zipf定律）互為變換。With developing fuzzy mathematics, the importance of set value mapping has been highlighted, so that the upgrade of all kinds of the structures, such as ordered, topological measurable structure, etc, have been considered
模糊數學理論的發展突出了集值映射的重要性，各種數學結構需要由論域向其冪集上提升，如序結構的提升，拓撲結構的提升，可測結構的提升等等。We research the generalized inverse of morphisms in preadditive category, give the characterization for the moore - penrose and drazin inverse, and obtain the necessary and sufficient conditions for the existence of core - nipotent for morphism
我們考察了預加法范疇中態射的廣義逆，利用冪等態射給出了態射廣義逆存在的充要條件及其表達式。
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