In this work, the modified Lyapunov-Schmidt reduction is used to find a nonlinear Ritz approximation of Fredholm functional defined by the nonhomogeneous Camassa-Holm equation and Benjamin-Bona-Mahony. We introduced the modified Lyapunov-Schmidt reduction for nonhomogeneous problems when the dimension of the null space is equal to two.  The nonlinear Ritz approximation for the nonhomogeneous Camassa-Holm equation has been found as a function of codimension twenty-four.

Artificial Intelligence Algorithms have been used in recent years in many scientific fields. We suggest employing artificial TABU algorithm to find the best estimate of the semi-parametric regression function with measurement errors in the explanatory variables and the dependent variable, where measurement errors appear frequently in fields such as sport, chemistry, biological sciences, medicine, and epidemiological studies, rather than an exact measurement.

This included the study of embryonic development of the heart in different lengths of embryos of Sailfin molly (Poecelia latipinna) fish, which is one of the invasive fish species in Iraq and is spread acrosswater bodies, especially in the marshes that are located in the south of Iraq. The fish samples were collected from the AGhazl market in Baghdad province, and dissected to remove the ovary that containing embryos at different lengths using fine forceps. All the samples were fixed using formalin after making a hole in the gas sac, especially in advanced embryos stage. In a 3 mm embryo, the heart was completely formed and the blood vessels and optic cup were clear, while the lens of the eye was beginning to form. In 4-5 mm embryo, it was

The Phenomenon of Euphemism in the Translon Activity Euphemism is the replacement of a harsh word with a less harsh or more acceptable   one.   Most   languages   are   affected   by   ideological,   cultural, social,   or   religious   perspectives   which   in   turn   would   reflect   different linguistic levels. On such a basis, translation is affected by its medium,i.e. language, and consequently what is acceptably expressed by a nation may   not  be  acceptable by another.   In   this paper, we try   to  

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

This paper is a part of a cytological studies of the genus Bromus L. in Iraq . Cl number for 103 specimens ropro^eming l^species determined . The course of meiosis including an analysis of chromosome configuradon for 27 collections belonging to 8 species were investigated . Meiosis was regular in most species . Tetraploid for B.scoparius L. (new cytotype ) and hexaploid ?'or " Kunth. were re^rted for the first time, cytological findings were supported the view of maintaining the closely related species B.danthoniae Trin. and B.lanceolatus Roth, as distinct species .

The research aims to apply the activities of the green value chain as one of the modern administrative techniques that economic units resort to develop solutions to the pollution problems that occur due to the activity of economic units and their products that may cause damage to the environment as well as the waste of natural resources and to identify the production of environmentally friendly products and reduce the costs of environmental failure of both types Internal and external that may be borne by economic units such as taxes, fines and compensation due to nonobservance of environmental requirements and the preservation of human health and protection of the environment. To achieve the goal of the research, the researchers rel