The paper is concerned with the state and proof of the existence theorem of a unique solution (state vector) of couple nonlinear hyperbolic equations (CNLHEQS) via the Galerkin method (GM) with the Aubin theorem. When the continuous classical boundary control vector (CCBCV) is known, the theorem of existence a CCBOCV with equality and inequality state vector constraints (EIESVC) is stated and proved, the existence theorem of a unique solution of the adjoint couple equations (ADCEQS) associated with the state equations is studied. The Frcéhet derivative derivation of the "Hamiltonian" is obtained. Finally the necessary theorem (necessary conditions "NCs") and the sufficient theorem (sufficient conditions" SCs") for optimality of the stat

This research aims to examine the relationship between hydrothermal alteration and mineralization (ore mineralogy) in the study area and geological structures in the deformation mechanism. The hydrothermal alteration was determined based on petrographic analysis, and ore mineralogy which was determined based on the ore microscopic analysis. The deformation mechanism is determined by paleo stress analysis using win-tensor, and the direction of principal stress on joints/veins and faults is calculated by the right-dihedron method. Hydrothermal alteration includes silicification, argillic, propylitic, and phyllic alterations; and ore mineralogy consists of stibnite, cinnabar, pyrite, chalcopyrite, sphalerite, covellite, hematite, and a

The development of the television industry has led to the emergence of a new type of entertainment program in which producers have abandoned stereotypes in traditional programs, known as (Reality TV show). This type of program has spread rapidly in America, (where there are more than 40 series of these programs), as well as Europe and more than twenty countries around the world, including the Arab countries, where the number of these programs today to about 1000 programs and the number is increasing , Especially with the readiness of the production networks to produce more of these programs for the huge profits they derive from them (because of the high viewing rates and the large number of ads broadcast through them) in return for low prod

The Kurds' positions were characterized by insistence on their rights during the monarchy and choosing various solutions to obtain independence. After the revolution of July 14, 1958, the Kurds welcomed it, and the leaders of the Kurdistan Democratic Party sent a telegram to the Free Officers Organization congratulating them on the new era in order to build sound and correct relations between the two parties. However, the military conflict was renewed between the Iraqi government and the Kurds and continued even after the coup of February 8, 1963, and all the subsequent negotiating and peaceful attempts to resolve the Kurdish problem until 1966. It was a state of double contradiction for both parties that thwarted the peaceful attempts. The

The research tackles an important subject, namely, the light text and how it works well in the Arab television programs. The methodological framework of the research     presents the research problem stated in the following question: How can the text be used and what is its impact in the Arab TV programs? The importance of this research is that it deals with the subject of light text and its impact on Arab television programs.

This study is useful to the workers and scholars in the field of lighting as well as the goal of the research in (studying of the employment of light text in Arab television programs).

The limits of research were manifested in the study of the light text and how to make use of it

This study included the isolation and identification of Aspergillus flavus isolates associated with imported American rice grains and local corn grains which collected from local markets, using UV light with 365 nm wave length and different media (PDA, YEA, COA, and CDA ). One hundred and seven fungal isolates were identified in rice and 147 isolates in corn.4 genera and 7 species were associated with grains, the genera were Aspergillus ,Fusarium ,Neurospora ,Penicillium . Aspergillus was dominant with occurrence of 0.47% and frequency of 11.75% in rice grains whereas in corn grains the genus Neurospora was dominant with occurrence of 1.09% and frequency 27.25% ,results revealed that 20 isolates out of 50 A. flavus isolates were able

There are no words in the universe that are collected, communicated, raised, and greater than the words of God, Lord of the worlds, and there is no guidance except with Him, nor guidance except with His guidance, and no knowledge except with Him, and how is he guided by the lost without guidance from God Almighty !?

In this research, I tried to address what collects hearts, composes souls, and spreads love among members of society as part of the social twinning and good coexistence between people. Harmony, love, and the roots of fragmentation, fighting and feuding.

This verse is blessed and I chose {Taking  the Charter of the  of Israel do