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In this paper, to cope with the stochastic dynamic (or multi-period) problem, two new quadratic assignment-based mathematical models corresponding to the dynamic and static approaches are developed. The product demands are presumed to be dependent uncertain variables with normal distribution having known expectation, variance, and covariance that change from one period to the next one, randomly...

Using the mixed solvents, (water +ethanol + propanol), the solubility of CdF2 was determined byevaporating method at 25° C. The results showed that the sollbility, s, of CdF2 decreases bydecreasing the dielectric constant of the mixed solvent .Once the solubility of CdF2 was determined,the concentration solubility product, Ksp(c)=4s3, was calculated .Furthermore ,by estimating the meanactivity ...

First we summarize the quark-level linear σ model compositeness conditions and verify that indeed mσ = 2mq when mπ = 0 and Nc = 3, rather than in the Nc → ∞ limit, as is sometimes suggested. Later we show that this compositeness picture also predicts a chiral symmetry restoration temperature Tc = 2fπ, where fπ is the pion decay constant. We contrast this self-consistent Z = 0 compositeness anal...

Background and objectives: Iranian traditional medicine (ITM) resources have recommended different formulations for overcoming hair loss which is a beauty concern worldwide; one of these recommendations is amla oil which has been mentioned to be considerably effective. In the present study, amla oil has been formulated according to ITM and the quality control assessment of the ...

We investigate manifolds obtained as a quotient of a doubly warped product. We show that they are always covered by the product of two suitable leaves. This allows us to prove, under regularity hypothesis, that these manifolds are a doubly warped product up to a zero measure subset formed by an union of leaves. We also obtain a necessary and sufficient condition which ensures the decomposition ...

First we summarize the quark-level linear σ model compositeness conditions and verify that indeed mσ = 2mq when mπ = 0 and Nc = 3, rather than in the Nc → ∞ limit, as is sometimes suggested. Later we show that this compositeness picture also predicts a chiral symmetry restoration temperature Tc = 2fπ, where fπ is the pion decay constant. We contrast this self-consistent Z = 0 compositeness anal...

This paper describes the use of vectors with randomly generated components for representing concepts in a system for solving proportional analogy problems using a memory based on a tensor product network. Both dense random vectors (all or most components non-zero) and sparse random vectors (most components zero) are used. In both cases systems which are able to solve proportional analogy proble...

Consider a Markovian Petri net with race policy. The marking process has a " product form " stationary distribution if the probability of viewing a given marking can be decomposed as the product over places of terms depending only on the local marking. First we observe that the Deficiency Zero Theorem of Feinberg, developped for chemical reaction networks, provides a structural and simple suffi...

In this paper we develop several algebraic structures on the simplicial cochains of a triangulated manifold that are analogues of objects in differential geometry. We study a cochain product and prove several statements about its convergence to the wedge product on differential forms. Also, for cochains with an inner product, we define a combinatorial Hodge star operator, and describe some appl...