and Applied Analysis 3 It can be easily seen that for a compact convex set C, y is in NC x if and only if S y | C xy, or equivalently, x is in ∂S y | C . Definition 2.2. A functional F : X × X × R → R where X ⊆ R is sublinear with respect to the third variable if for all x, u ∈ X ×X, i F x, u; a1 a2 ≤ F x, u; a1 F x, u; a2 for all a1, a2 ∈ R, ii F x, u;αa αF x, u; a , for all α ∈ R and for all ...

in this paper a new method is proposed for path planning of planar manipulators amid obstacles through mathematical programming in a way that the robot’s links avoid collision with obstacles throughout their motion from an initial to a goal configuration. after inputting the workspace geometry, the shortest feasible path for the robot’s end-effector is planned toward its goal position using gen...

in this paper we try to introduce a new approach and study the notion of efficiency under a multi objectives linear programming problem in the university by using analysis of hierarchy process (ahp)‎. ‎to this end‎, ‎we first extract some effective parameters due to efficiency offices in university and then prioritized these parameters by the ahp method‎. ‎hence‎, ‎we could classify the most im...

objective: water scarcity is a growing global problem and increasing population pressures, living standards and the growing demand for environmental quality have evoked all the governments to represent better solutions about water resources management. in addition, there are growing political ties for reducing water use in agriculture that follow enough environmental benefits and increase the w...

abstract management of water resources in iran is faced with growing demand for water resources, a considerable increase in the costs of supplying additional water and uncontrolled exploitation of underground waters. economists suggest water pricing to improve water use efficiency; however, government tends to reject that advice due to political risk, economic and cultural concerns. we used a p...

the determination of the ultimate pit limit (upl) is the first step in the open pit mine planning process. in this stage that parts of the mineral deposit that are economic to mine are determined. there are several mathematical, heuristic and meta-heuristic algorithms to determine upl. the optimization criterion in these algorithms is maximization of the total profit whilst satisfying the...

fuzzy linear programming problem occur in many elds such as mathematical modeling, control theory and management sciences, etc. in this paper we focus on a kind of linear programming with fuzzy numbers and variables namely fully fuzzy linear programming (fflp) problem, in which the constraints are in inequality forms. then a new method is proposed to ne the fuzzy solution for solving (fflp). ...

The last chapter presented the general concept of a logic. In this chapter we consider a particular logic | rst order predicate calculus, also known as simply rst order logic. First order logic is by far the most widely studied logic. It was rst formulated by Guttlob Frege in 1879. However, the fundamental semantic properties of rst order logic were not really understood until the work of Skole...