This paper presents a linear fractional programming problem (LFPP) with rough interval coefficients (RICs) in the objective function. It shows that the LFPP with RICs in the objective function can be converted into a linear programming problem (LPP) with RICs by using the variable transformations. To solve this problem, we will make two LPP with interval coefficients (ICs). Next, those four LPPs can be constructed under these assumptions; the LPPs can be solved by the classical simplex method and used with MS Excel Solver. There is also argumentation about solving this type of linear fractional optimization programming problem. The derived theory can be applied to several numerical examples with its details, but we show only two examples

Abstract

            Rayleigh distribution is one of the important distributions used for analysis life time data, and has applications in reliability study and physical interpretations. This paper introduces four different methods to estimate the scale parameter, and also estimate reliability function; these methods are Maximum Likelihood, and Bayes and Modified Bayes, and Minimax estimator under squared error loss function, for the scale and reliability function of the generalized Rayleigh distribution are obtained. The comparison is done through simulation procedure, t

     The secondary sex ratio (SSR) is affected by many factors, including the concentration of hormones and infection with some pathogens such as Toxoplasma gondii. This study aimed to evaluate the effect of hormone variability concentrations and toxoplasmosis infection on the secondary sex ratio. 150 pregnant women were selected, 60 infected with late toxoplasmosis (LT), 60 infected with early toxoplasmosis (ET) and 30 seronegative to toxoplasmosis. After tracking the birth outcomes of these women, we calculated SSR in each group. During the second and third trimesters of pregnancy, estrogen, testosterone, progesterone, TSH, T4 and T3 concentrations were measured. The results of the three groups were compared. The results s

The present study was investigated the activity of aqueous extract from Cinnamomum cassia bark on the blood glucose levels in healthy and diabetic rats induced by Streptozotcin (STZ). In healthy rats the blood glucose levels were slightly decreased after six hoursof single oral administration with dose (25 mg/kg) of body wight, as well as four weeks after twice daily repeated oral administration of aqueous extract of Cinnamomum cassia bark. In streptozotocin induced diabetic rats we absorved high significant decreased (p<0.05) in blood glucose levels, after four weeks of oral administration of aqueous extract (25 mg /kg ).And blood glucose levels seems to be normal after the period of treatment .Glibenclamide used as standard drug to com

Background: Cerebrospinal fluid leak is a relatively common problem ranging from 0.5% to 18% with traumatic or incidental injury to the Dura intra-operatively^{1, 2}. Traumatic injury mostly occurs due to mechanical trauma with subsequent thecal sac laceration mainly in the thoracolumbar region. Incidental Dural injury commonly happens in patients undergoing spinal surgery for any reason.

Objective: Introduce a maneuver to be used during operations when the patients have either traumatic or iatrogenic injury to the Dura which would prevent CSF leak post-operatively.

Method: A case series study conducted in Baghdad, medical city, between June 2014 an

Shapes have differed in terms of their temporality, tools, technical variations, aesthetic functions and dimensions. The beginnings started with manual primitive techniques that have played an a significant artistic role in the ancient civilizations, then developed with the technological development and the digital technologies that encompassed various programs and specialist means in the graphic design, so that its visual outputs in the textbook that is considered a communication means that has an effect and attracts the recipient. That is what made the researcher search and investigate this topic describing the research problem as follows: What are the shapes as alternatives to the words in the design of the textbook? The research obje

The research aims to identify the effect of teaching-learning design based on the constructivism theory on the life skills of middle stage students. The sample consisted of (60) students from one of the middle schools in Baghdad's governorate. The experimental group and control group consisted of 30 students for each group, the research tool was the life skills scale composed of (78) items. The scale proved its validity and reliability, which was found to be (0.85). The results showed a statistically significant difference in life skills between the two groups of research in favor of the experimental group, which studied the educational design according to models of constructivism theory compared to the usual method of teaching.

In the present study, an attempt has been to develop a new water quality index (WQI) method that depends on the Iraqi specifications for drinking water (IQS 417, 2009) to assess the validity of the Euphrates River for drinking by classifying the quality of the river water at different stations along its entire reach inside the Iraqi lands. The proposed classifications by this method are: Excellent, Good, Acceptable, Poor, and Very poor. Eight water quality parameters have been selected to represent the quality of the river water these are: Ion Hydrogen Concentration (pH), Calcium (Ca), Magnesium (Mg), Sodium (Na), Chloride (Cl), Sulphate (SO_4), Nitrate (NO_3), and Total Dissolved Solids (TDS). The variation of the water quality parameters

In the present study, an attempt has been to develop a new water quality index (WQI) method that depends on the Iraqi specifications for drinking water (IQS 417, 2009)  to assess the validity of the Euphrates River for drinking by classifying the quality of the river water at different stations along its entire reach inside the Iraqi lands. The proposed classifications by this method are: Excellent, Good, Acceptable, Poor, and Very poor. Eight water quality parameters have been selected to represent the quality of the river water these are: Ion Hydrogen Concentration (pH), Calcium (Ca), Magnesium (Mg), Sodium (Na), Chloride (Cl), Sulphate (SO_4), Nitrate (NO_3), and Total Dissolved Solids (TDS). The variation of the water quality p

Background: Anemia is very common in patients with chronic kidney disease, and becoming almost universal in end stage renal disease, where dialysis or renal transplantation becoming the treatment of choice. High levels of hepcidin appear to accompany reduced renal function and serum ferritin may also be elevated.
Objectives: To classify anemia in hemodialysis patients and to display the correlations between the types of anemia and inflammatory parameters like hepcidin and ferritin according to vascular access of hemodialysis.
Patients and methods: This case-control study was conducted at Al-Hayat center for hemodialysis, and included 60 adult patients on hemodialysis. Also 20 healthy individuals were recruited as control group. Mea