a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...

This paper develops a method for solving the single product multi-period production-planning problem, in which the production and the inventory costs of each period arc concave and backlogging is not permitted. It is also assumed that the unit variable cost of the production evolves according to a continuous time Markov process. We prove that this production-planning problem can be Stated as a ...

We propose an alternative method to compute the environmental entropy production of a classical underdamped nonequilibrium system, not necessarily in detailed balance, in a continuous phase space. It is based on the idea that the Hamiltonian orbits of the corresponding isolated system can be regarded as microstates and that entropy is generated in the environment whenever the system moves from ...

Our main objective is the modelling and simulation of complex production networks originally introduced in [15, 16] with random breakdowns of individual processors. Similar to [10], the breakdowns of processors are exponentially distributed. The resulting network model is of coupled system of partial and ordinary differential equations with Markovian switching and its solution is a stochastic p...

Despite the increasing popularity of 3D printing, also known as additive manufacturing (AM), the technique has not developed beyond the realm of rapid prototyping. This confinement of the field can be attributed to the inherent flaws of layer-by-layer printing and, in particular, anisotropic mechanical properties that depend on print direction, visible by the staircasing surface finish effect. ...

The University Repository is a digital collection of the research output of the University, available on Open Access. Copyright and Moral Rights for the items on this site are retained by the individual author and/or other copyright owners. Users may access full items free of charge; copies of full text items generally can be reproduced, displayed or performed and given to third parties in any ...

The continuous production of Clostridium tetani toxin has been carried out in a 1-liter stirred culture vessel for as long as 65 days. Toxin production of approximately 120 flocculating units per ml was maintained with a dilution rate of 0.125 hr(-1), a temperature of 34 C, a pH of 7.4, and the addition to the medium of 0.1 g of potassium chloride per liter. The average minimal lethal intraperi...

In this paper, I am raising the issue of missing data treatment in producing continuous spatio-temporal fields of biogeophysical variables from AVHRR and MODIS or MODIS-like sensor data. Climate and numerical forecast models that use surface variables require that input fields be continuous in time and space (e.g. Gutman, 1990). However, quite often the datasets produced for use in the models h...