Generalization of Renyi’s Entropy and its Application in Source Coding

In this paper, we introduce a new generalization of Renyis entropy β(P) and the most important feature of this generalized entropy Rαβ (P) is that it derives most important entropies that are well known and influence information theory and applied mathematics. Some significant properties of Rαβ (P) has been undertaken in this article. In addition, we introduce a new generalized exponentiated mean codeword length Lβα (P) in this article then determine how Rβα (P) and Lβα (P) are related in terms of source coding theorem

Production of Activated Carbon and Precipitated White Nanosilica from Rice Husk Ash

This work presented the preparation of rice husk ash (RHA) by Open-field burning and by combustion at 1000 o C for 4 hrs. X-ray diffraction studies of produced RHA revealed that increase in temperature of burning will increase the crystal growth rate with the occurrence of different varying degrees of quartz (Q), Cristobalite (C) and Tridymite (T). The purity concentration of silica in RHA samples were measured by X-Ray Fluorescence and found to be in the range of 82.7-91.6 % with major impurities of K 2 O, P 2 O 5 and Cr 2 O 3 . RHA produced via open-field burning was treated with an activating reagent sodium hydroxide (3.5 mol/L), the activated rice husk so obtained was heated at a temperature of 900°C to get activated carbon. Silica was precipitated from sodium silicate by acidification using sulphuric acid with a percent yield 97% of extracted silica. Infrared spectral data supported the presence of hydrogen bonded silanol group (Si-O-H) and the siloxane group (Si-O-Si) in RHA and precipitated silica and reflects the high purity of precipitated white nanosilica (PWNS)

QuiTRU: Design Secure Variant of Ntruencrypt Via a New Multi-Dimensional Algebra

The NTRU public-key cryptosystem is based on time complexity and efficient computations. Many researchers were stimulated to improve NTRU performance by changing mathematical structure with new algebraic structures and replacing the truncated polynomial ring, such as OTRU, QTRU. In this paper, we proposed QuiTRU as a new version of the NTRU. It’s a five-dimensional cryptosystem based on a new algebraic structure. As well, QuiTRU was compared with NTRU, QTRU, and OTRU. Keywords

Multidisciplinary approach for evaluation of neurocutaneous disorders in children in Sohag University Hospital, Upper Egypt

Background: Neurocutaneous syndromes (NCS) are a broad term for a group of neurologic disorders that involve the nervous system and the skin. The most common examples are neurofibromatosis type 1 (NF-1) and type 2 (NF-2), tuberous sclerosis (TS), Sturge–Weber syndrome (SWS), ataxia telangiectasia (AT), and Von Hippel Lindau disease (VHL). These disorders are characterized clinically by neurological manifestations such as convulsions, mental retardation and learning disabilities in addition to cutaneous manifestations, and lastly tubers (benign growths found in different organs of the body). Aim of the study: This study aimed to identify clinical, imaging, and neurophysiological profiles of neurocutaneous disorders. Children presented to the Pediatric neurology and Dermatology clinics, Sohag University Hospital who fulfilled the criteria for diagnosis of specific neurocutaneous syndromes were eligible for this study. Patients and methods: All studied patients were subjected to thorough clinical history, full clinical examination, developmental assessment, and dermatological examination. Computed tomography of the brain (CT) and electroencephalography (EEG), ophthalmic, and phoniatric evaluation were also done for all children. Echocardiography was done for only twenty children. Results: During the period of the study we diagnosed 27 cases with neurocutaneous disorders, tuberous sclerosis represented the majority of cases as it was detected in 12 cases (44.45%). The main complaint was convulsions in 19 cases (70.37%), whereas skin pigmentation was detected in 18 cases (66.66%). Developmental assessment showed that global developmental delay was found in 20 cases (74%). CT of the brain showed that 15 cases (55.55%) had intracranial calcifications and abnormal EEG findings were detected in 23 cases (85.2%). 85% of the studied children had various degrees of mental retardation. Echocardiography showed that three cases (15%) had ventricular wall tumor mostly rhabdomyoma. Conclusion: Neurocutaneous disorders had multiple clinical presentations and required a team work approach including various specialties in their evaluation and management