Logistic

Term Logistic is ambiguous.

In administration, Logistic is detailed organization and implementation of a complex operation ; detailed coordination of a complex operation involving many people, facilities, or supplies . Also, Logistics is the management of the flow of resources between the point of origin and the point of consumption in order to meet some requirements, for example, of customers or corporations.

In science, Logistic may refer to the logistic operator , which is quadratic function \(T\) of special kind: $$ T(z)=q\cdot z \cdot (1-z) \$$ where \(q\) is constant. Usually it is assumed that \(q\) is real. Logistic operator can be considered as a transfer function for simple model of the system with chaotic behavior. Superfunctions \(F\) for the Logistic operator, id est, holomorphic solution \(F\) of equation $$ F(z\!+\!1)=T(F(z)) \$$ can be constructed in a standard way, using the fixed points \(0\) or \(q\!-\!1\). The superfunction allows to express the regular iteration of the logistic operator in the following way: $$ T^c(z)=F(c+F^{-1}(z)) \$$ where \(F^{-1}\) is inverse function of \(F\); in wide range of values of \(z\), the relation \(F(F^{-1}(z))=z\) holds.

Keywords
Administration, Logistic sequence, Logistic operator, Superfunction, Ambiguity

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