Using limit linear series and a result controlling degeneration from separable maps to inseparable maps, we give a formula for the number of rational functions (up to automorphism of the target) on the projective line with ramification to order ei at general points Pi, in the case that all ei are less than the characteristic. Unlike the case of characteristic 0, the answer is not given by Schub...

This paper provides characterization theorems for preferences that can be represented by U(x1, ..., xn)=min{xk}, U(x1, ..., xn)=max{xk}, U(x1, ..., xn)=; u(xk), or combinations of these functionals. The main assumption is partial separability, where changing a common component of two vectors does not reverse strict preferences, but may turn strict preferences into indifference. We discuss appli...

We review some logic formalisms which were designed in order to reason about situations, goals, and actions. In particular, we focuss on the so-called frame problem, ie. the technical problem of how to formalize the assumption that unless an action explicitly causes a certain fact to hold or not to hold, the facts are preserved by the action. It is shown that there is no need to explicitly stat...

Deprivation indices are useful measures to study health inequalities. Different techniques are commonly applied to construct deprivation indices, including multi-criteria decision methods such as the analytical hierarchy process (AHP). The multi-criteria deprivation index for the city of Quito is an index in which indicators are weighted by applying the AHP. In this research, a variation of thi...

We prove that every disjoint NP-pair is polynomial-time, many-one equivalent to the canonical disjoint NP-pair of some propositional proof system. Therefore, the degree structure of the class of disjoint NP-pairs and of all canonical pairs is identical. Secondly, we show that this degree structure is not superficial: Assuming there exist P-inseparable disjoint pairs, there exist intermediate di...

Lack of clarity regarding the scope and integration of business process management and enterprise resource planning are recurring themes. This results in difficulties in understanding relationships between the two constructs. Business processes are constellations of activities fundamental to organizations and must be managed like all other organizational resources. Continual changes in organiza...

Implementing education in madrasas requires financial management because it has powerful potential and is inseparable from management. Grand Theory research uses the theory of George R. Terry, into some essential functions management, Planning (Planning), Organizing (Organizing), Actuating (Implementation), Controlling (Supervision). The results showed that financing to improve quality learning...

decisions relating to most irrigation-planning problems need to be made in the face of hydrologic uncertainties, which make the irrigation-planning problem more complex. the uncertainties can be tackled by formulating the problem as fuzzy linear programming (flp). in the present study, single objective fuzzy linear programming (soflp) irrigation planning model was formulated for deriving the op...