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On α-generalized-δ-closed mappings
A.I. EL-Maghrabi,F.M. AL-Rehli
Journal of Global Research in Mathematical Archives , 2013,
Abstract: In this paper, we introduce a new class of function called On α-generalized-δ-closed mappings continuous. Also, some basic properties of it are studied. The relationships between this function and other types of functions are discussed.
Some forms of α -generalized-δ- compactness
A.I. EL-Maghrabi,F.M. AL-Rehli
Journal of Global Research in Mathematical Archives , 2013,
Abstract: The aim of this paper is to introduce and investigate the concept of αGδO -compact and αGδO -connected spaces which are stronger than αGO -compact [5] and αGO -connected [5] respectively. Some properties of these spaces are studied. (2000) Math. Subject Classification. 54C05, 54C08, 54D05, 54D30 Keywords and Phrases. αGδO -compact and αGδO -connected spaces
Further properties on strongly generalized star semi- continuous mappings
A.I. EL-Maghrabi,S.S. AL-Ahmadi
Journal of Global Research in Mathematical Archives , 2013,
Abstract: The aim of this paper is to introduce and study the class of strongly generalized star semi – closed sets which is weaker than semi- closed sets (Crossly and Hildebrand , 1971) and stronger than both strongly generalized semi-closed sets (El-Maghrabi and Nasef ,2008) and semi generalized-closed sets (Bhattacharya and Lahiri,1987). Also, through this paper some concepts such as: strongly generalized star semi –continuous, strongly generalized star semi –closed and strongly generalized star semi –homeomorphism maps are discussed and investigated via a strongly generalized star semi –closed set. (1991) AMS Math. Subject Classification: 54 A05; 54 D10 Keywords and Phrases: strongly generalized star semi –closed sets, strongly generalized star semi – continuous, strongly generalized star semi –irresolute, strongly generalized star semi- closed and strongly generalized star semi – homeomorphism mappings
Generalized -Operations on Fuzzy Topological Spaces
A. M. Zahran,A. I. El-Maghrabi
Abstract and Applied Analysis , 2011, DOI: 10.1155/2011/164510
Abstract: The aim of this work is to introduce -operations on fuzzy topological spaces and to use them to study fuzzy generalized -closed sets and fuzzy generalized -open sets. Also, we introduce some characterizations and properties for these concepts. Finally we show that certain results of several publications on the concepts of weakness and strength of fuzzy generalized closed sets are considered as corollaries of the results of this research. 1. Preliminaries The concept of fuzzy topology was first defined in 1968 by Chang [1] based on the concept of a fuzzy set introduced by Zadeh in [2]. Since then, various important notions in the classical topology such as generalized closed, generalized open set, and weaker and stronger forms of generalized closed and generalized open sets have been extended to fuzzy topological spaces. The purpose of this paper is to introduce and study the concept of -operations, and by using these operations, we will study fuzzy generalized -closed sets and fuzzy generalized -open sets in fuzzy topological spaces. Also, we show that some results in several papers [3–15] considered as corollaries from the results of this paper. Let be a fuzzy topological space (fts, for short), and let be any fuzzy set in . We define the closure of to be is fuzzy closed} and the interior of to be is fuzzy open}. A fuzzy point [16] is a fuzzy set with support and value . For a fuzzy set in , we write if and only if . Evidently, every fuzzy set can be expressed as the union of all fuzzy points which belongs to . A fuzzy point is said to be quasicoincident [17] with denoted by if and only if . A fuzzy set is said to be quasicoincident with , denoted by , if and only if there exists such that . If is not quasicoincident with , then we write . For a fuzzy set of a fts (resp., - - - - - ) denote the fuzzy closure (resp., semiclosure, precloure, -closure, -closure, -closure, semi-preclosure, -closure, -closure) and (resp., - - - - - ) denote the fuzzy interior (resp., semi-interior, preinterior, -interior, -interior, -interior, semi-preinterior, -interior, and -interior) of . Definition 1.1 (see [17]). A fuzzy set in an fts is said to be -neighborhood of a fuzzy point if there exists a fuzzy open set with . Definition 1.2. A fuzzy set in an fts is said to be: (1)fuzzy regular open [18] ( , for short) if )) = , (2)fuzzy regular closed [18] ( , for short) if )) = , (3)fuzzy regular semiopen [19]( , for short) if there exists a fuzzy regular open set such that , (4)fuzzy -open [20] ( o, for short) if , (5)fuzzy -closed [20] ( c, for short) if , (6)fuzzy
Characterizations of Mappings Via Z-Open Sets
Ahmad I. EL-Maghrabi,Ali M. Mubarki
Studies in Mathematical Sciences , 2012, DOI: 10.3968/j.sms.1923845220120502.1016
Abstract: The aim of this paper we introduce Z-irresolute, Z-open, Z-closed, pre-Z-open and pre-Z-closed mappings and investigate properties and characterizations of these new types of mappings.
Design of a Perfect Electromagnetic Conductor (PEMC) Boundary by Using Periodic Patches
H. M. El-Maghrabi;Ahmed Mohamed Attiya;Essam Abdel Haleem Hashish
PIER M , 2011, DOI: 10.2528/PIERM10112201
Abstract: Perfect electromagnetic conductor (PEMC) is a novel concept in electromagnetic fields of interesting properties and many potential applications. This paper introduces a new technique to design an artificial surface that has equivalent PEMC properties. The proposed PEMC boundary is based on a periodic structure composed of two conducting patches on a grounded dielectric slab. One of them is embedded inside the substrate and the other lies on the surface of the substrate. A conducting via is used to connect the two patches. In the resulting PEMC boundary, the polarization of the reflected wave is controlled by the tilting angle between the two patches.
X-ray Shielding Ability and Electrophysical Characteristics of Rubber Vulcanizates: Effect of State-of-Mix
M. Madani and A.I. Abd-El Hafez
Particle Physics Insights , 2012, DOI: 10.4137/PPI.S0
Abstract: Rubber composite materials were prepared using styrene-butadiene-rubber as matrices and incorporating with carbon black and PbO2 for X-ray shielding. The pure gum SBR was firstly masticated with different mastication times before mixing. It was found that the mastication time strongly affected the microstructure of the prepared composites and in turn, the degree of cross-link density. The mastication time greatly improves the dispersion level of the used fillers. The effect of mastication time on the conductivity, currentvoltage characteristics and TSDC of composites was investigated. The X-ray shielding ability of all composites apparently increases with the increase in mastication time. X-ray shielding ability of the prepared composites was also studied at different applied voltage and current of X-ray machine.
The truncated Hyper-Poisson queues: Hk/Ma,b/C/N with balking, reneging and general bulk service rule
Shawky A.I.,El-Paoumy M.S.
Yugoslav Journal of Operations Research , 2008, DOI: 10.2298/yjor0801023s
Abstract: The aim of this paper is to derive the analytical solution of the queue: Hk/Ma,b/C/N with balking and reneging in which (I) units arrive according to a hyper-Poisson distribution with k independent branches, (II) the queue discipline is FIFO; and (III) the units are served in batches according to a general bulk service rule. The steady-state probabilities, recurrence relations connecting various probabilities introduced are found and the expected number of units in the queue is derived in an explicit form. Also, some special cases are obtained. .
Protein, Mineral Content and Amino Acid Profile of Sorghum Flour as Influenced by Soybean Protein Concentrate Supplementation
A.M. Awadalkareem,A.I. Mustafa,A.H. El Tinay
Pakistan Journal of Nutrition , 2008,
Abstract: This study was conducted to investigate the affect of supplementation of sorghum flour with soy protein concentrate (SPC) on ash, protein, mineral composition (Cu, Ca, Fe, Na and K) amino acids profile and electrophoretic patterns of their blends. The protein contents were found to be 14, 68, 18, 22 and 26% for sorghum flour, SPC, meal one, meal two and meal three, respectively. However, their ash contents were 2.29, 6.51, 2.82, 3.01 and 3.67%, respectively. No significant difference (P≤0.05) in terms of the ash content was observed between meal one and two, while meal three was significantly different from the remaining meals. Mineral composition of the tested samples significantly differs between the meals (P≤0.05) Supplementation of sorghum flour with SPC showed a significant increase in lysine and threonine contents, with a slight increase in methionine level in meal one and two. Electrophoretic patterns of samples indicated the appearance of new bands in all blends as well as intensification of protein bands due to the interaction between the two native proteins.
Characterization of Tannin and Study of in vitro Protein Digestibility and Mineral Profile of Sudanese and Indian Sorghum Cultivars
Amir Mahgoub Awadelkareem,G. Muralikrishna,A.H. EL Tinay,A.I. Mustafa
Pakistan Journal of Nutrition , 2009,
Abstract: The study was conducted to investigate chemical composition, mineral profile, tannin content, and effect of cooking on in vitro protein digestibility , and separation and identification of free and bound phenolic acids of Sudanese sorghum cultivar (namely feterita) and Indian sorghum cultivar (namely CSH5). Chemical composition of the two sorghum cultivars was determined. Sudanese cultivar showed significantly (p<0.05) high moisture, ash, protein, and fat while Indian cultivar was significantly higher (P<0.05) in fiber and carbohydrate contents. Cupper, calcium, iron, phosphorus, potassium, and sodium were determined for the two cultivars. Results revealed that, Sudanese cultivar was significantly higher (P<0.05) in cupper, calcium, iron, and sodium while Indian cultivar was significantly higher (P<0.05) in phosphorus and potassium content. Tannin content in Sudanese cultivar was significantly (P<0.05) higher compared to Indian cultivar. Effect of cooking on in vitro protein digestibility revealed that cooking significantly (P<0.05) reduced the in vitro protein digestibility of the two sorghum cultivars. The phenolic acids (PAs) as free and bound form content were separated and identified using high performance liquid chromatography (HPLC) for the two sorghum cultivars. Syringic, p-coummaric, ferulic acid were detected as free form of phenolic acids of Indian cultivar while gallic , protocatechuic, gentisic, caffeic, p-coummaric , and ferulic acids were detected in free form of Sudanese cultivar. Gallic, protocatechuic , gentisic, and p-coummaric were not detected in free form in Indian cultivar while syringic acid was not detected in Sudanese cultivar in free form. Indian cultivar contained high caffeic and ferulic acid in free form compared to Sudanese cultivar. Syringic , caffeic, p- coummaric and ferulic acids were detected in bound form in Indian cultivar while gallic, protocatechuic, caffeic, p-coummaric and ferulic acid were detected in bound form in Sudanese cultivar. Gallic, protocatechuic and gentisic acids were not detected in free and bound form in Indian cultivar while p-coummaric acid was only detected in bound form in Indian cultivar. Syringic, caffeic, p-coummaric and ferulic acids content in bound form were high in Indian cultivar than Sudanese cultivar. Generally phenolic acids of the two cultivars exist mostly in bound form.
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