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.

The guarantee of deposits came in most countries as a result of the financial crises faced by the banks, as the role of the guarantee agencies does not end to the point of enabling the depositor to recover his deposit, but rather it is considered necessary to overcome crises and stabilize the banking system.

The decisions related to the coverage determined by the types of guarantee are important, and it is required that these decisions be consistent with the policy of each guarantee to control and limit the negative effects that accompany deposit insurance, in order to face any risk that threatens deposits and confidence in them and to avoid any financial failures for the stability of the banking system and the protection of depo

The diplomatic bag is one of the important means of communication used by the diplomatic mission to communicate with the government of the sending country and its consulates, as well as the missions in other countries. The diplomatic bag was granted absolute immunity against opening, seizing and inspection in order to effectively perform the function entrusted to it. The practical reality revealed the exploitation of the diplomatic bag to smuggle drugs and shipments of weapons and explosives that harmed the national security of the receiving country. The International Law Committee avoided the matter and reconciled the interest of the immunity of the diplomatic bag with the interest of the state in preserving national security and sovere

The state, as one of the most important social institutions that works to provide services and security for individuals, needs security, and this security is achieved according to a specific hierarchy that starts from the security of the individual and the security of society to the security of the state, as the advanced state security is based on the basic pillars of solidarity and social peace This security consists of several levels (human, regional, social, economic, and cyber), unlike Arab criminal legislation, including Iraqi law, which is based on the concept of traditional state security, as it relies on the military side only in order to provide maximum criminal protection for the security of the political system The security of

Our aim in this paper is to introduce the notation of nearly primary-2-absorbing submodule as generalization of 2-absorbing submodule where a proper submodule  of an -module  is called nearly primary-2-absorbing submodule if whenever , for , , ,  implies that either  or  or . We got many basic, properties, examples and characterizations of this concept. Furthermore, characterizations of nearly primary-2-absorbing submodules in some classes of modules were inserted. Moreover, the behavior of nearly primary-2-absorbing submodule under -epimorphism was studied.

The study presents the test results of Completely Decomposed Granite (CDG) soil tested under drained triaxial compression, direct shear and simple shear tests. Special attention was focused on the modification of the upper halve of conventional Direct Shear Test (DST) to behave as free
head in movement along with vertical strain control during shear stage by using Geotechnical Digital System (GDS). The results show that Free Direct Shear Test (FDST) has clear effect on the measured shear stress and vertical strain during the test. It has been found that shear strength
parameters measured from FDST were closer to those measured from simple shear and drained triaxial compression test. This study also provides an independent check on

      The problem of multi assembly line balancing appears as one of the most prominent and complex type of problem. The research problem of this dissertation is concerned with choosing the suitable method that includes the nature of the processes of the multi assembly type of the sewing line at factory no. (7). The State Company for Leather Manufacturing. The sewing line currently suffers from idle times at work stations which resulted in low production levels that do not meet the production plans. The authors have devised a flexible simulation model which uses the uniform distribution to generate task time for each shoe type produced by the factory. The simulation of the multi assembly line was based on assigni

الخلاصة

     يتضمن البحث تعيين عنصر الزئبق السام بتراكيزنزرة عالية الدقة (نانوغرام) باستخدام منظومة يخار الزئبق البارد لنماذج غذائية (لحوم حمراء ، لحوم بيضاء ) مختلفة ونماذج مائية (ماء النهر، مياه صناعية ، ماء الشرب) وربط المنظومة بتقنية الامتصاص الذري اللهبي.

     ان عنصر الزئبق من اشد العناصر سمية وان التراكيز المسموح بها عالميا لايتعدى جزء واحد