In this paper, we use elementary complex calculus coupled with trivial arithmetic calculus and we show a simple Result on four famous primes problems (namely, the twin primes problem, the Fermat primes problem, the Mersenne primes problem and the Sophie Germain primes problem). This Result helps us to conjecture that the twin primes problem and the Fermat primes problem and the Mersenne primes problem and the Sophie Germain primes problem can be simultaneously solved by the same method.

Geographical Information System based semi distributed model, Soil and Water Assessment Tool (SWAT) is used to model the hydrology of Haro river watershed 40 kilometer North West Islamabad, Pakistan.  Thus, it aims to simulate the stream flow, establish the water balance and estimate the monthly volume inflow to Khanpur dam located at the basin outlet. SWAT model was calibrated for a ten years period from 1994 to 2003 and validated for a seven years period from 2004 to 2010.  Statistical indicators; Pearson Correlation, Coefficient of Determination and Nash-Sutcliffe Efficiency were used to verify the simulation abilities of the model.  Results illustrate a good performance for both calibration and validation periods and acceptable agreement between measured and simulated values of both annual and monthly discharge. The water balance components were estimated and presented here for the studied watershed. Finally, it is concluded that SWAT model can be used in semi-arid regions for the water resources management of the studied watershed.

This study aims to evaluate the scientific principles underlying the training process, which takes place in five-star hotels where the training and qualifying of the administrative staff take place, along with the reflection of the quality of the training process regarding the quality of hotel services provided therein. The research also aims to clarify the concept of total quality management and the possibility of adopting it in the work of hotels. The study included training concept, its principles and elements, and the overall concept of quality and quality in training. As well as a field study of the reality of training in hotels through which data was collected and statistically analyzed and hypothesis were tested. The study gave the following recommendations: Paying attention to identifying training needs in a deliberate scientific approach, the preparation of training and educational programs about the quality and the total quality concepts, initiating practical procedures targeting the adoption of the quality management in hotels.