The duals of Gabor frames have an essential role in reconstruction of signals. In this paper we find a necessary and sufficient  condition for two Gabor systems $\left(\chi_{\left[c_1,d_1\right)},a,b\right)$ and $\left(\chi_{\left[c_2,d_2\right)},a,b\right)$ to form dual frames for $L_2\left(\mathbb{R}\right)$, where $a$ and $b$ are positive numbers and $c_1,c_2,d_1$ and $d_2$ are real numbers such that $c_1

Many Response operations are supposed to be occurred right after major disasters. Fatalities increase in the first periods of disasters. So time is a very critical factor in response operations. In these cases, artificial optimization methods can be used to manage response teams. These methods make these teams do their activities in a right time. In this paper, an improved vehicle routing problem is proposed based on special time Window constraint. This constraint is called semi soft time Window that uses survival function. Unless hard or soft time Window, Semi soft time Window models real time varying fatalities. The proposed model is solved with simulated annealing. The operation of this model is evaluated in two small and big randomly generated networks. The results are compared with both soft and hard time Window. This led into this conclusion that the new approach can improve the percent of survived people more about 11.5 percent.

A characteristic of Data Envelopment Analysis (DEA) is to allow individual decision making units (DMUs) to select the factor weights which are the most advantageous for them in calculating their efficiency scores. This flexibility in selecting the weights, on the other hand, deters the comparison among DMUs on a common base. For dealing with this difficulty and assessing all the DMUs on the same scale, this paper proposes using a multiple objective linear programming (MOLP) approach based on scalarizing function for generating common set of weights under the DEA framework. This is an advantageous of the proposed approach against general approaches in the literature which are based on multiple objective nonlinear programming.

Considering globalization and very intense competition between the main ports of the world, this paper tries to assess re-engineering processes using new servicing techniques in some of the most important regional and international ports. Today, traditional practices are considered as barriers to growth and expansion of the ports. High speed transportation and cargo handling requires new strategies and technologies. Regarding the intense competition to attract the customers, it is very necessary for Iranian ports to offer new services that satisfy customers. Using Information Technology (IT) and being adherence to international organizations like UN/CEFACT (United Nations Centre for Trade Facilitation and Electronic Business) are some of these practices. Many ports have boomed with increasing global trade and therefore have faced new opportunities. Single Window is one of the technologies that ports use to handle the high volume of goods and cargoes.

Close encounters with the Western culture and art starts under the Qajar rule. In this period, art elements of the West find their way in the Persian art and architecture. This paper reports the results of a survey of Window-guards extant form the Qajar period in Hamadan City. Of an initial sample of 68 Windows, 26 samples were selected for not being a repetition of other designs. These show a gradual evolution in technique and style of using wrought iron in four phases.In the first phase, a pattern formed with S-shaped elements covers the rectangular area of a Window, while the semicircular area under the spanning arch is usually blocked. In the second phase, by modifying the ‘S’ element, all the Window area is covered. In the third phase, the S element is further modified, its tips become convoluted and its proportions are freely changed to fill rectangular areas. In the fourth phase, the Window-guard is treated as a decorative architectural element. Therefore, in addition to the S element, other decorative spiral elements are used.