This work is concerned with studying the optimal classical continuous control quaternary vector problem. It is consisted of; the quaternary nonlinear hyperbolic boundary value problem and the cost functional. At first, the weak form of the quaternary nonlinear hyperbolic boundary value problem is obtained. Then under suitable hypotheses, the existence theorem of a unique state quaternary vector solution for the weak form where the classical continuous control quaternary vector is considered known is stated and demonstrated by employing the method of Galerkin and the compactness theorem. In addition, the continuity operator between the state quaternary vector solution of the weak form and the corresponding classical continuous control quaternary vector is demonstrated in three different infinite dimensional spaces (Hilbert spaces). Furthermore, with suitable hypotheses, the existence theorem of an optimal classical continuous control quaternary vector dominated by the weak form of the quaternary nonlinear hyperbolic boundary value problem is stated and demonstrated.
Frequency equations for rectangular plate model with and without the thermoelastic effect for the cases are: all edges are simply supported, all edges are clamped and two opposite edges are clamped others are simply supported. These were obtained through direct method for simply supported ends using Hamilton’s principle with minimizing Ritz method to total energy (strain and kinetic) for the rest of the boundary conditions. The effect of restraining edges on the frequency and mode shape has been considered. Distributions temperatures have been considered as a uniform temperature the effect of developed thermal stresses due to restrictions of ends conditions on vibration characteristics of a plate with different
... Show MoreThe main idea that led me to write such research paper within the framework of Germanic linguistics is that I have not found any topic dealing with the term correlate in the German language, except in several articles in linguistic journals as well as one topic in a book describing the use of such a linguistic phenomenon in the language system. The research initially deals with the definition of the correlate at the level of the German language system. Correlate is unity describes specific relation of two sentences and identifies denoted constructs. Correlate is called a placeholder at the syntactic level because it does not occupy its original topological fields in the syntactic structure. The correlate (es) or the prepositiona
... Show MoreHypothyroidism is a condition in which thyroid hormones levels decreased in the blood. These hormones are necessary for energy production and body viability. In many occasions this condition is accompanied or followed by different metabolic disorders. The current study is conducted in the "Specialized center for endocrinology and diabetes" and carried on 70 hypothyroid patients and 60 randomly chosen individuals with normal thyroid function .Both groups were submitted to laboratory tests to evaluate thyroid function (T3,T4.TSH). The study involved evaluation of the relationship between hypothyroidism and insulin resistance (IR) . Health problem related to many diseases , became common lately. Insulin resistance diagnosed through
... Show MoreBackground: Diabetes mellitus is a common health problem of the world. Iron may be a part of the cause of the disease and its Complications
Objectives: This study was designed to determine the relationship between the levels of iron indices and diabetes mellitus type 2. Type 2
Type of the study: Cross –sectional study.
Methods: diabetes mellitus is clinical condition characterized by hyperglycemia due to the absolute or relative deficiency of insulin. It is also followed by pathological abnormalities like impaired insulin secretion, peripheral insulin resistance, and excessive hepatic glucose production. Although type 2 diabetes mellitus i
... Show MoreAbstract: In this research we study the of added NaCl with concentration (0.2, 0.02)M on the spectral of cationically charged dye (cresyl violet) and anionically charged surfactant (sodium dodecyl sulphate) with different concentration, the result show two peaks appearance the first attributed to micelle and the other formation of dye surfactant complex, in addition to the increase in the quantum efficiency of emission spectrum and shifted toward long wavelength (λmax=692.5nm-626nm).
The tax legal system, with its rules relating to imposing and assessing the tax and how to collect it, is one of the issues that the taxpayer is keen to follow-up on and caring about, but the aforementioned system is contested by two conflicting interests, the taxpayer’s interest in the view of a money-cutter and a means of always depriving of his wealth to the tax-imposing authority that It seeks to ensure the regular and steady flow of financial resources to the public treasury, which necessitates the presence of a judicial body entrusted with the task of securing a balance between these two conflicting interests from issues that consider themselves strongly in the tax field. It is one of the oldest human rights and public freedoms,
... Show MoreGender has considered and become a new trend in women's studies, as it reflects the behaviors, roles and attitudes imposed by society on its members in accordance with their biological nature,with focusing on gender rather than on concentration on women, which is closely linked to the vision that concentrates on women's problems which are not primarily according to their biological differences But rather to a greater extent to social, cultural, historical and religious barriers and Obstacles.
Therefore, the qualitative division due to the concept of "gender" is not a rigid biological division, but is relied on the broad general context through which the social division of work is done. Thus, content in the pages of Facebook with high-
The increasing demand for energy has encouraged the development of renewable resources and environmentally benign fuel such as biodiesel. In this study, ethyl fatty esters (EFEs), a major component of biodiesel fuel, were synthesized from soybean oil using sodium ethoxide as a catalyst. By-products were glycerol and difatty acyl urea (DFAU), which has biological characteristics, as antibiotics and antifungal medications. Both EFEs and DFAU have been characterized using Fourier transform infrared (FTIR) spectroscopy, and 1H nuclear magnetic resonance (NMR) technique. The optimum conditions were studied as a function of reaction time, reactant molar ratios, catalyst percentage and the effect of organic solvents. The conversion ratio of soybea
... Show MoreThe theatrical show consists of theatrical techniques that form the space to display the play that may form conscious visual effects about the receiver. The current search included the (Research problem) which is the immediate question ((What makes the theatrical techniques dazzling and visually exciting in a certain theatrical show?))
It also included (the importance of research) by highlighting the importance of theatrical techniques and the mechanism of contrast.
It also identified the visual stimulus of theatrical techniques in the theater show.
It also included the (research limits), which were temporally determined by the period (1990-1998) and spatially, the Iraqi theater shows (Baghdad), in which theatrical techniques c
The effect of the optical feedback on the polarization flipping point and hysteresis loop was studied. The polarization flipping occurred at all angles between the polarizer axis and the laser polarization. The polarization flipping point changed by an optical feedback occurred at angles from 0° to 90°. Ability of choosing or controlling the laser polarization was determined by changing the direction of vertical and horizontal polarization by polarizer rotation in the external cavity from 0° to 90°.