On Existence and Uniqueness Theorem Concerning Time–Dependent Heat Transfer Model

In this article we consider a physical model describing time-dependent heat transfer by conduction and radiation. This model contains two conducting and opaque materials which are in contact by radiation through a transparent medium bounded by diffuse-grey surfaces. The aim of this work is to present a reliable framework to prove the existence and the uniqueness of a weak solution for this problem. The existence of the solution can be proved by solving an auxiliary problem by the Galerkin-based approximation method and Moser-type arguments which implies the existence of solution to the original problem. The uniqueness of the solution will be proved by using the same approach in our previous work for the stationary heat transfer model and some ideas from nonlinear heat conduction analysis

Existence and uniqueness of the solution of the coupled conduction-radiation energy transfer on diffuse-gray surfaces

This article gives very significant and up-to-date analytical results on the conductive-radiative heat transfer model containing two conducting and opaque materials which are in contact by radiation through a transparent medium bounded by diffuse-gray surfaces. Some properties of the radiative integral operator will be presented. The main emphasis of this work deals also with the question of existence and uniqueness of weak solution for this problem. The existence of weak solution will be proved by showing that our problem is pseudomonotone and coercive. The uniqueness of the solution will be proved using an idea from the analysis of nonlinear heat conduction

The authenticity of the judicial control records in evidence in the Palestinian law: a comparative study

There is no doubt that the criminal judge enjoys a wide discretion when weighing the evidence and determining the extent of its strength when forming his certain conviction, whether it is related to the evidence concluded by the accusing authority or what was raised before the court in the case. However, the reader of the legal texts cited by the Palestinian legislator in procedural law that talk about the freedom of the criminal judge to be convinced; notes the extent of its generality and its lack of a general framework that shows how limited that freedom enjoyed by the judge really is. The authenticity of the case papers referred to the court, in which the minutes of collection of evidence are an essential part. From here emerged the main problem of the study, which centered on the extent of the impact of the judicial seizure reports referred to the criminal judge on his personal conviction and whether they serve as a basis for him in issuing his judgment, especially since there are some special laws that have given these records varying authority in proof. According to the nature of the crimes related to it and the limits of the jurisdiction of its organizers and the extent of their powers. After conducting an analytical comparative study of the texts of the relevant Palestinian and Lebanese laws, it appears that some of the records of collecting inferences are authoritative. Which means that this requires the court to take them unless proven otherwise, or proven to the contrary, but it is one of the records that must be worked with unless it is proven to be forged, which requires the court to take even if they violated their convictions in the case, and without the right to discuss it. There is another type of records with relative authenticity where the court is free to accept or reject them, which does not constitute a restriction on the judge’s freedom of conviction, as they are nothing more than just ordinary information, which is taken as a matter of appeal

ملامحُ المقاومةِ الشعبيَّة في ديوانِ المجدُ ينحني أمامكم مُقتَرباتُ الموضوعِ والَّتشكيل الشعريّ

The study deals with the Glory bends before you by the poet Abdel Nasser Saleh, as an appropriate model to study the subject of popular resistance and its role in confronting the occupier through the use of popular resistance methods and means, and the statement of its foundations, and objective and poetic features. He lived the experiences of struggle and arrest in the Uprising. He practiced peaceful resistance on the homeland by his pencil and actions. The study attempts to dismantle the vocabulary of the texts of the Diwan by employing the analytical methodology in order to demonstrate the extent to which the text copes with the reality of the event popular resistance against the other Israeli, through the study of technical techniques and poetic formation, and the effectiveness of reality and practice, culture and ideology. The researcher found the poet\u27s artistic ability to root the state of popular resistance, whether at the level of term or poetic image, and the resulting positive impact on the conscience of the resistance people

Localization Process for WSNs with Various Grid-Based Topology Using Artificial Neural Network

Wireless Sensor Network (WSN) is a technology that can aid human life by providing ubiquitous communication, sensing, and computing capabilities. It allows people to be more able to interact with the environment. The environment contains many nodes to monitor and collect data. Localizing nodes distributed in different locations covering different regions is a challenge in WSN. Localization of accurate and low-cost sensors is an urgent need to deploy WSN in various applications. In this paper, we propose an artificial automatic neural network method for sensor node localization. The proposed method in WSN is implemented with network-based topology in different regions. To demonstrate the accuracy of the proposed method, we compared the estimated locations of the proposed feedforward neural network (FFNN) with the estimated locations of the deep feedforward neural network (DFF) and the weighted centroid localization (WCL) algorithm based on the strength of the received signal index. The proposed FFNN model outperformed alternative methods in terms of its lower average localization error which is 0.056m. Furthermore, it demonstrated its capability to predict sensor locations in wireless sensor networks (WSNs) across various grid-based topologies

Localization Process for WSNs with Various Grid-Based Topology Using Artificial Neural Network

Wireless Sensor Network (WSN) is a technology that can aid human life by providing ubiquitous communication, sensing, and computing capabilities. It allows people to be more able to interact with the environment. The environment contains many nodes to monitor and collect data. Localizing nodes distributed in different locations covering different regions is a challenge in WSN. Localization of accurate and low-cost sensors is an urgent need to deploy WSN in various applications. In this paper, we propose an artificial automatic neural network method for sensor node localization. The proposed method in WSN is implemented with network-based topology in different regions. To demonstrate the accuracy of the proposed method, we compared the estimated locations of the proposed feedforward neural network (FFNN) with the estimated locations of the deep feedforward neural network (DFF) and the weighted centroid localization (WCL) algorithm based on the strength of the received signal index. The proposed FFNN model outperformed alternative methods in terms of its lower average localization error which is 0.056m. Furthermore, it demonstrated its capability to predict sensor locations in wireless sensor networks (WSNs) across various grid-based topologies