we present some model theoretic results for {l}ukasiewiczpredicate logic by using the methods of continuous model theorydeveloped by chang and keisler.we prove compactness theorem with respect to the class of allstructures taking values in the {l}ukasiewicz $texttt{bl}$-algebra.we also prove some appropriate preservation theorems concerning universal and inductive theories.finally, skolemizatio...

In this paper, we study metric structures with a nite number of metrics by extending the model theory developed by Ben Yaacov et al. in the monograph Model theory for metric structures. We rst de ne a metric structure with nitely many metrics, develop the theory of ultraproducts of multimetric structures, and prove some classical model-theoretic theorems about saturation for structures with mul...

in this paper, we present an application of the stochastic calculusto the problem of modeling electrical networks. the filtering problem have animportant role in the theory of stochastic differential equations(sdes). in thisarticle, we present an application of the continuous kalman-bucy filter for a rlcircuit. the deterministic model of the circuit is replaced by a stochastic model byadding a ...

in this paper, installment options on the underlying assetwhich evolves according to black-scholes model and pays constant dividendto its owner will be considered. applying arbitrage pricing theory,the non-homogeneous parabolic partial differential equation governingthe value of installment option is derived. then, penalty method is usedto value the european continuous installment call option.

a nonstandard finite difference (nsfd) scheme has been constructed and analyzed for a mathematical model that describes lotka–volterra food web model. this new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. linearized stability theory and schur–cohn criteria are used for local asymptoticstab...

a full scale physical model of a thin slab caster with a four-hole design submerged entry nozzle (sen) was constructed. on the basis of the dimensionless reynolds and froude similitude criteria, the fluid flow in a full-scale model is similar to that of the actual system and, hence, the data obtained from the water model can be applied to the actual system. in order to determine the optimum ope...

conclusions hemodialysis patients need a consistent care plan to manage poor sleep quality. this research has proven the effectiveness of implementing ccm as an intervention for improving the sleep quality of hemodialysis patients. ccm provides a comprehensive model for caring for hemodialysis patients, and its executive stages are congruent with the many stages of the nursing process. practiti...