exponentials 中文意思是什麼
exponentials
解釋
指數-
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。 -
Third we suppose that the effect of the break - down is delayed. usually, we can say that the process is markov process if the durations of working and repair have negative - exponentials, so we take the markov process as the original system, the system set up by modeling as the new system. new systems have not the markov properties, which is worth to study
因為通常假設部件的工作與維修時間的隨機變量是服從指數分佈的，因此可以用馬爾可夫過程來描述系統，但是，在建立模型之後的系統，稱為新系統，不具有馬爾可夫性，因此這個新系統的可靠性指標的給出就成為一個值得研究的問題。
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