This paper is concerned with the numerical solutions of the vorticity transport equation (VTE) in two-dimensional space with homogenous Dirichlet boundary conditions. Namely, for this problem, the Crank-Nicolson finite difference equation is derived.  In addition, the consistency and stability of the Crank-Nicolson method are studied. Moreover, a numerical experiment is considered to study the convergence of the Crank-Nicolson scheme and to visualize the discrete graphs for the vorticity and stream functions. The analytical result shows that the proposed scheme is consistent, whereas the numerical results show that the solutions are stable with small space-steps and at any time levels.

The current Iraqi standard specifications for roads and bridges allowed the prepared Job-Mix Formula for asphalt mixtures to witness some tolerances with regard to the following: coarse aggregate gradation by ± 6.0 %, fine aggregate gradation by ± 4.0 %, filler gradation by ± 2.0 %, asphalt cement content by ± 0.3 % and mixing temperature by ± 15 ^oC. The objective of this work is to evaluate the behavior of asphalt mixtures prepared by different aggregates gradations (12.5 mm nominal maximum size) that fabricated by several asphalt contents (40-50 grade) and various mixing temperature. All the tolerances specified in the specifications are taken into account, furthermore, the zones beyond these tolerances

Type 2 diabetes is a global public health problem especially in middle east countries and Iraq has not spared from this pandemic. The prevalence in Iraq. and rank in Middle East. Beside increasing in prevalence- also poor glucose control. Nutrition plays a critical role. This paper narratively review variables that affect  reduce the incidence of T2DM in Iraq and affect nutritional status among Iraqi withT2DM. The factors contribute  to T2DM were high rates of obesity and overweight, as well as levels of body fat indicate a high prevalence of poor glycemic control. Likewise, levels of physical activity are low among older Iraqis.

Zinc Oxide (ZnO) is considered as one of the best materials already used as a window layer in solar cells due to its antireflective capability. The ZnO/MgF2 bilayer thin film is more efficient as antireflective coating. In this work, ZnO and ZnO/MgF2 thin films were deposited on glass substrate using pulsed laser deposition and thermal evaporation deposition methods. The optical measurements indicated that ZnO thin layer has an energy gap of (3.02 eV) while ZnO/MgF2 bilayer gives rise to an increase in the energy gap. ZnO/MgF2 bilayer shows a high energy gap (3.77 eV) with low reflectance (1.1-10 %) and refractive index (1.9) leading to high transmittance, this bilayer could be a good candidate optical material to improve the performance

Pushkin's quotations in Chekhov's works are one of the means of expressing connections between texts, performing the most important constructive role: behind them Chekhov reveals a deep development of the plot-thematic structure, ideas and, more broadly, Pushkin's artistic philosophy.

The scientific relevance of our work is the analysis of the similarities between the literary texts of Pushkin and Chekhov, and touches on quotations in Chekhov's works.

Аннотация

Работа посвящена проблеме функционирования пушкинской традиции в прозе А.П. Чехова . Творчество Чехова занимает уникальное

              The environmental references represented by the intellectual, social, economic, political and religious pressures are considered fundamental factors for the artistic achievement whose importance comes from their multiplicity and branching into natural and psychological pressures that affect the multiplicity, diversity and variability of the artistic and performative methods.  Thus they determine the artist's orientations and the creative artistic visions are summoned through symbols and semantic signs of the visual surface, because the societal thought  in   art in general and the fine art in specific occupies an influential position