Let G be a graph, each edge e of which is given a weight w(e). The shortest path problem is a path of minimum weight connecting two specified vertices a and b, and from it we have a pre-topology. Furthermore, we study the restriction and separators in pre-topology generated by the shortest path problems. Finally, we study the rate of liaison in pre-topology between two subgraphs. It is formally shown that the new distance measure is a metric

It is more beneficial science and created and the highest honor is the Koran Sciences, God has honored research in this fun science, came this research that shed the light on the radical incision, and Naughty derivatives as contained in the Koran, and illustrate the diversity of Saghma morphological, and fork them from derivatives what it entailed connotations, as well as the evacuation of cryptic in some of these verses from the biological secrets take minds newly exposed Anitrjt science under the name of scientific miracles.
The research methodology is revenue verse which included the word, and revenue lexical meaning and its meaning in the context of the Qur'an, and reflect the views of the commentators of the verse, and then the r

The present work was aimed to form the baseline data of normal morphological and histological structure features of liver in migratory starling (Sturnus vulgaris). Anatomically, the starling liver bird was dark red -brown in colour and located in the cranial third of the abdominal cavity and consisted of undivided lobes (left and right). The liver right lobe was larger than the left. Histological examination revealed that the liver parenchyma was covered by a connective tissue capsule which appears to be thicker in the rim of liver lobes than other area in the liver lobe. Liver parenchyma was arranged in an unlimited hepatic lobules, which composed of polygonal hepatocytes organized as irregular, radial interconnecting cords or laminae of o

This study showed that liver of Passer domesticus bilobed the right lobe is cardiac shape while the left is elliptical and the liver colour is brown. It is occupying most of anterior and middle parts of abdominal cavity. The liver is surrounded by Glison capsule which is represented by a thin layer of connective tissue with septum extend peripherally in liver tissue. The liver tissue is formed from polyhedral hepatocyte arrange as irregular hepatic cord surrounded the central vein. Each cell contains one or two nucleus with one or more nucleolus. The blood sinusoid appeared between the liver cells .The hepatic cord arranged radially around the central vein. The portal area is clear and surrounded by connective tissue. Gallbladder is almost

The current study included a detail morphological study of all parts of the species Ipomoea carnea Jacq. (Convolvulaceae) cultivated in different gardens, the roots, stems, leaves, flowers and fruit were studied in detail, also the pollen grains were studied and there are photographs for all the parts were putted.

This paper examines the most important historical knowledge and knowledge of the Arabs in the pre-Islamic era based on the Holy Quran, which is the oldest and most reliable Arab Islamic sources recorded at all, as a major source of this study, to ensure a great interest in history, especially the news of the prophets, and the positions of their nations Some of them, as well as some of the news of the old Arab people such as Aad and Thamud and the owners of the elephant and others, and some of which are repeated in several Quranic fence and various methods of presentation, cited as a lesson and exhortation to the Arab opponents of Islam and a reminder of what befell the peoples of the world B relict of doom to discredit them the apostles

The purpose of this paper is to study a new types of compactness in the dual bitopological spaces. We shall introduce the concepts of L-pre- compactness and L-semi-P- compactness .

Accurate prediction and optimization of morphological traits in Roselle are essential for enhancing crop productivity and adaptability to diverse environments. In the present study, a machine learning framework was developed using Random Forest and Multi-layer Perceptron algorithms to model and predict key morphological traits, branch number, growth period, boll number, and seed number per plant, based on genotype and planting date. The dataset was generated from a field experiment involving ten Roselle genotypes and five planting dates. Both RF and MLP exhibited robust predictive capabilities; however, RF (R² = 0.84) demonstrated superior performance compared to MLP (R² = 0.80), underscoring its efficacy in capturing the nonlinear genoty