In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (LFIE) (as special cases). The new technique depends on approximating the solution to a polynomial of degree and therefore reducing the problem to a linear programming problem(LPP), which will be solved to find the approximate solution of LVFIE. Moreover, quadrature methods including trapezoidal rule (TR), Simpson 1/3 rule (SR), Boole rule (BR), and Romberg integration formula (RI) are used to approximate the integrals that exist in LVFIE. Also, a comparison between those methods is produced. Finally, for more explanation, an algorithm is proposed and applied for testing examples to illustrate the effectiveness of the new technique.
This research represents a practical attempt applied to calibrate and verify a hydraulic model for the Blue Nile River. The calibration procedures are performed using the observed data for a previous period and comparing them with the calibration results while verification requirements are achieved with the application of the observed data for another future period and comparing them with the verification results. The study objective covered a relationship of the river terrain with the distance between the assumed points of the dam failures along the river length. The computed model values and the observed data should conform to the theoretical analysis and the overall verification performance of the model by comparing it with anothe
... Show MoreThis study aims to find out the effect of the mediator on scaffolding fourth yearstudent- teachers' teaching competencies and their self-efficacy. The present study combines scaffolding and self-efficacy by using a mediator on scaffolding students affects teaching competencies and selfefficacy and from the results of which the existence of student-teachers’ selfawareness was ensured as an effect of the same independent variable. The model affects their teaching competencies and led them to be aware of the needs of their pupils and themselves.
The aim of the present study was to demonstrate the possible role of statins on the inflammatory biomarkers in patients with periodontal disease (PD) This cross-sectional study involved 74 patients with PD and/or dyslipidemia divided into Group A: 34 patients with PD (nonstatins users); Group B: 40 patients with PD (statins users); and Group C: 30 healthy controls. Total cholesterol (TC), triglyceride (TG) and high-density lipoprotein, C-reactive protein (CRP), interleukin-6 (IL-6), tumor necrosis factor alpha (TNF-α), and malondialdehyde (MDA) were measured . Blood pressure prolife and indices of PD were evaluated in each group. Statistical analysis was conducted by using SPSS version 20.0.
The villa was incredible, summer was hot, and the Mediterranean Sea was so near.
Scil lived happily with her father as they needed no one else. But the visit of a calm and intelligent women caused huge shift in this delightful mess. So, how can this threat be stopped?
This novel displays to the reader a rich study of human soul to implicitly while being supported by short sentences and characterised by persons living in a horrible way and described in very short sentences.Thus, Françoise Sagan’s imagination was enflamed, and so he shaped ethical imagery in the moste wonderful way in the novel Hi, Sadness.
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... Show MoreThe reason for my choice of the topic (what Imam Al-Tirmidhi mentioned in his book Al-Sunan regarding the provisions of sales) is that he mentioned many topics that affect people's lives, which are represented by commercial transactions and the exchange of benefits between them, so it became clear to them what is forbidden and what is not, aiming not to fall into the prohibited, and to achieve their interests, and relieve them of embarrassment. What we will see in the research.
Many of researchers have written about social responsibility and business strategy and competitive advantage, and they have given particular attention to the relationship between economic and social responsibility , but what is missing in this aspect is how the economic units that use their core competencies to advance social responsibility initiatives so that they can achieve a significant competitive advantage and create value for it ?
The current research aims to verify the view that "the economic and social objectives in the long term is not contradictory in nature but complementary objectives essential", as well as make sure that the s
... Show MoreAbstract
Objective(s): To evaluate the level of Psychological Empowerment among Nurses as perceived by their Point of View, and identify the differences in nurses' Psychological Empowerment with regard to age, gender, graduation level, and years of work employment.
Methodology: A descriptive analytic design was conducted on nurses in Psycho-social health Units in Primary Health Care Centers in Kirkuk Governorate, to achieve the objectives of the study. A convenient (non-probability) sample of 84 nurses was selected. The data collected through self-report method for the period from 25th August to 10th October 2022. The questionnaire was adopted
... Show MoreThis study present, the density of alum chrom in water and in aqueous solution of poly (ethylene glycol) (1500) at different temperature (288.15, 293.15, 298.15) k. Experimental values of density was used to calculate the apparent molar volume (Vθ), limiting apparent molar volume Vθ˚, experimental slope (Sv) and the partial molar volume at infinite dilution of transfer of solute Δνθ˚. These results have been interpreted the molecular interaction in term of ion- solvent, ion– ion interaction. The structure making /breaking capacities have been inferred from the sign of the second derivative of limiting partial molar volume with respect temperature at constant pressure. Alum has been formed to act as structure breaker in water and aq
... Show Moreالاحداث السياسية في العراق بعد 2003 وأثر الانتماء والوعي في التشكيل العراقي المعاصر