The aim of this paper is prove a theorem on the Riesz mean of expansions with respect to Riesz bases, which extends the previous results of Loi and Tahir on the Schrodinger operator to the operator of 4-th order.

Abstract

Islam has been concerned with preserving and maintaining rights, so the provisions in which it is preserved are legislated. Among that  is the testimony that made it a way to prove the truth and obliges its bearer to fulfill right in order to preserve the right and establish justice and prevent injustices by defying conflict, and tyranny .

And while acknowledging that divine absolute wisdom that is the cause and origin of legal rulings is sufficient, it is obligatory to abide by its provisions and imposes obedience, surrender, contentment and work in accordance with its controls.

However, the realization of the defects behind the legislation in a comprehensive way that realizes the dev

The aim of this study is modeling the transport of industrial wastewater in sandy soil by using finite element method. A washing technique was used to remove the industrial wastewater from the soil. The washing technique applied with an efficient hydraulic gradient to help in transport of contaminant mass by advection. Also, the mass transport equation used in modeling the transport of industrial wastewater from soil includes the sorption and chemical reactions. The sandy soil samples obtained from Al-Najaf Governorate/Iraq. The wastewater contaminant was obtained from Al- Musyiebelectricity power plant. The soil samples were synthetically contaminated with four percentages of 10, 20, 30 and 40% of the contaminant and these percentages calc

   The Compressional-wave (Vp) data are useful for reservoir exploration, drilling operations, stimulation, hydraulic fracturing employment, and development plans for a specific reservoir. Due to the different nature and behavior of the influencing parameters, more complex nonlinearity exists for Vp modeling purposes. In this study, a statistical relationship between compressional wave velocity and petrophysical parameters was developed from wireline log data for Jeribe formation in Fauqi oil field south Est Iraq, which is studied using single and multiple linear regressions. The model concentrated on predicting compressional wave velocity from petrophysical parameters and any pair of shear waves velocity, porosity, density, a

4-amino-3-(4-(((4-hydroxy-3, 5dimethoxybenzyl) oxy) methyl) phenyl)-1, 2, 4-triazole-5-thione was synthesized by to method the first one from melt reaction of 4-(((4-hydroxy-3, 5-dimethoxybenzyl) oxy) methyl) benzoic acid with Thiocarbonyldihydrazide, the second method from convert the corresponded acid hydrazide to potassium 2-(4-(((4-hydroxy-3, 5-dimethoxybenzyl) oxy) methyl) benzoyl) hydrazinecarbodithioate salt then react with hydrazine hydrate. Newly Schiff base (7a-7f) were synthesized from reaction the 4-amino-1, 2, 4-triazol with substituted hydroxybenzaldehyde. The resulting compounds were characterized by IR, 1H-NMR, 13C-NMR, and HRMS data. 2, 2-Diphenyl-1-picrylhydrazide (DPPH) and ferric reducing antioxidant power (FRAP) assays

Urinary tract infections (UTI) caused by methicillin resistant staphylococci are a
growing problem for many health care institutions especially when it correlates with
biofilms formation of these isolates on living and nonliving surfaces. The prevalence
of staphylococci from UTI were studied and it was found that S.epidermidis are
higher prevalence than S.aureus 55.5% ( 10 out of 18) and 26.6% ( 8 out of 30) were
methicillin resistant staphylococcus aureus isolates (MRSA) and methicillin resistant
staphylococcus epidermidis (MRSE), respectively. Biofilm formation on microtiter
plates revealed that MRSE isolates was more efficient in biofilm production than its
counterpart MRSA.

The identity of the cultural identity of the party (the ego and the other) during a series of questions subject to the transformations of history and the process of culture, the search of identity and its characteristics within the novel discourse calls to address the cultural impact communication discourse aims to reveal the functional and intellectual benefits that contributed to the formation of cultural identity, and stand at the most important manifestations And the secretions that mimic a world remains part of it present in the imagination of the producer of the text is moving in accordance with the holistic perception of the world embedded between the lines of the trial.The question of identity as an intellectual dimension in orde

     The linear non-polynomial spline is used here to solve the fractional partial differential equation (FPDE). The fractional derivatives are described in the Caputo sense. The tensor products are given for extending the one-dimensional linear non-polynomial spline to a two-dimensional spline  to solve the heat equation. In this paper, the convergence theorem of the method used to the exact solution is proved and the numerical examples show the validity of the method. All computations are implemented by Mathcad15.

The results show the inability to apply the Taylor rule within inflation and GDP Gaps because the monetary behave is elated from the Iraqi economy.

When applying the Taylor rule to exchange rate with the inflation and the output gap, the results do not match the nominal price announced by the central thing, which proves the lack of commitment by the Central Bank by using the Taylor rule, whether short-run interest rate or exchange rate (Nominal Anchor),  so it did not stay to the Iraqi Central Bank only using the principle of Taylor with the expected inflation rate below the level of output (Macro activity) for the separation of monetary behavior from the real one o