This paper aims to study the quaternary classical continuous optimal control problem consisting of the quaternary nonlinear parabolic boundary value problem, the cost function, and the equality and inequality constraints on the state and the control. Under appropriate hypotheses, it is demonstrated that the quaternary classical continuous optimal control ruling by the quaternary nonlinear parabolic boundary value problem has a quaternary classical continuous optimal control vector that satisfies the equality constraint and inequality state and control constraint. Moreover, mathematical formulation of the quaternary adjoint equations related to the quaternary state equations is discovered, and then the weak form of the quaternary adjoint equations is obtained. Lastly, both the necessary conditions for optimality and sufficient conditions for optimality of the proposed problem are stated and proved. The derivation for the Fréchet derivative of the Hamiltonian is attained.
As an architectural philosophical concept, Islamic architecture cannot be considered arches, doors, domes and lighthouses, since Islamic architecture is based on a structural system of religious, mental, philosophical and logical origins and beliefs shared by the arts, technology and the requirements of the surrounding environment. Rather, the architectural designer's distance from it becomes as if it is for people not from this world, and Islamic architecture is not abbreviated on the heritage side as much as it is a renewed "modern" state, dealing with the concepts of Islam that are valid for every time and place. This can be seen through the mechanisms that produced heritage architecture and what was built on it, which is not a simula
... Show MoreThis research is a study in which the researcher follows the al-Najjariya sect, which is attributed to Abi Abdullah al-Hussain bin Muhammad bin Abdullah al-Najjar, who died around (220 AH) and aims to:
1- Finding out the time of the emergence of this sect, and removing the confusion as to whether it was from the origins of the sects, or just an independent sect, or affiliated with one of the famous sects.
2- Standing on the most prominent theological opinions adopted by this sect, and in which of them did the Mu'tazila sect agree, and in which of them did the Sunnis and the community agree.
3- Statement of the most prominent sects that branched out from this sect.
The training of great importance in the play, in building optic and intellectual broadcast codes tags, and then comes after the recipient at the reception of such codes and decoded tags, and is the rhythm, the color of the most important elements of configuration, consistent with other elements, Kaltmathl, and focus, and harmony, and dissonance
It is important to set the background of stiffen arbitration agreement, to understand the real reasons of the fighting. When the Syrians began to lose, raised the masahif and made their announcement, most the qurrar, and so no need to continued fighting.
In their view all that remained was the matter of drawing up formal peace with Ali, Muamiya; Ali would recognize as Amir al-muminin by both Syrian and Iraqis.
The most of the Iraqisfavored settlement for different persons, for example-A'shath, the most power full of the clan leaders of Rabia, his interest by insuring that neither Ali nor Mu
... Show MoreGeographical, economic, historical, environmental and security factors play a role in strengthening the drive towards union, as well as addressing the need to express regional and federal identity. This is a clear example of this tendency. One legal or one political system with the parts of this united personality retaining their privacy and identity, and there is a delegation to the central entity of the union with some of the common powers while retaining some powers for these parts or states, which means the availability of autonomy for the constituent states of the union and this is the most important characteristic of the federal states or federations It is the autonomy of each state or country participating in the union. Accordingly,
... Show MoreEgypt and Ethiopia have connected in a strong relation as there are historical facts that
deepen these relations, one of these is Egypt's cooperation in establishing the first economic
and financial banking system in Ethiopia.
Beside the religious relation between The Egyptian and Ethiopian churches the Nile River is
considered one of the effective connections
That strong then the relations as it leads to some tension between the two countries because
Ethiopia believes that Egypt seeks to control the river tries to build its project over the Blue
Nile means a threat to the Ethiopian national security.
The tension continues even after the revolution of 25th of January 2011because the Nahda
dam which is a clear t
The decoration structure in calligraphy painting is one of the variables that characterized the structure of the calligraphic composition due to the artistic, aesthetic and expressive properties of the letters of the Arabic calligraphy, which are represented by flexibility, compliance and the ability to form. Therefore, the researcher defined his problem by asking the following question: What is the decorative structure in the calligraphic painting? The study aimed to reveal the structure of the ornamentation in the calligraphy painting, while the researcher dealt with in the second chapter three sections, the first (the ornamental concept and meaning) and the second topic (the structural characteristics of the Arabic letter in the calli
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