On Cohomology Groups of Four-Dimensional Nilpotent Associative Algebras

تعد دراسة الزمر الكوهومولوجية واحدة من أكثر البحوث المكثفة والمثيرة  والتي قد  نشأت من التبولوجيا الجبرية. حيث يعتبرالبعد للزمر الكوهومولوجية على وجه الخصوص ثابت في غاية الفائدة ويلعب دورآ هامآ في التصنيف الهندسي للجبر التجميعي. هذا العمل يركز على تطبيقات الزمر الكوهومولوجية ذات الابعاد المنخفضة. في هذا الخصوص, الزمر الكوهومولوجية المنخفضة للجبر التجميعي عديم القوى ذات البعد الرابع تم وصفهاعلى شكل مصفوفة.The study of cohomology groups is one of the most intensive and exciting researches that arises from algebraic topology. Particularly, the dimension of cohomology groups is a highly useful invariant which plays a rigorous role in the geometric classification of associative algebras. This work focuses on the applications of low dimensional cohomology groups. In this regards, the cohomology groups of degree zero and degree one of nilpotent associative algebras in dimension four are described in matrix form

New connection formulae for the q-orthogonal polynomials via a series expansion of the q-exponential

Using a realization of the q-exponential function as an infinite multiplicative sereis of the ordinary exponential functions we obtain new nonlinear connection formulae of the q-orthogonal polynomials such as q-Hermite, q-Laguerre and q-Gegenbauer polynomials in terms of their respective classical analogs.Comment: 14 page

In vivo experimental infection of sarcosporidiosis and toxoplasmosis of rabbits in Duhok Province, Kurdistan region, Iraq

Background: Sarcocystis species and Toxoplasma gondii are both zoonotic obligatory intracellular protozoan organisms and cyst-forming coccidian parasites that occur in domestic animals and human throughout the world.Methods: Forty local breed rabbits were divided into four groups, each group ten. Group one were infected with Sarcocystis, group two with Toxoplasma and group three with both parasites and last group was non-infected control group. The LAT serological test was used for detection of anti-toxoplasma antibody in serum of Toxoplasma infected rabbits. The direct impression smears stained with Giemsa was prepared from different body organs including; liver, lung, heart, brain and skeletal muscle for detection of tissue cysts (Bradyzoites) of T. gondii and microcysts of Sarcocystis.Results: In group one, 70% of infected rabbits were positive for toxoplasmosis by serological test; both are and by impression smear method 80% of the rabbits were positive for T. gondii with tissue cysts. Fifty percent of rabbits were positive for microcysts of Sarcocystis by direct impression smear method in group two. In group three, the impression smear and latex agglutination method were positive in 40% and 60% of rabbits, respectively. Statistically, there was no significant difference in detection of toxoplasmosis and sarcocystosis by LAT and impression smear method in group one and three.Conclusions: Rabbits could be source of toxoplasmosis and sarcocystosis and have public health implications and hazard as source of food. They might be source of infection for cats and shed environmentally resistant oocysts

The cranking formula and the spurious behaviour of the mass parameters

We discuss some aspects of the approach of the mass parameters by means of the simple cranking model. In particular, it is well known that the numerical application of this formula is often subject to ambiguities or contradictions. It is found that these problems are induced by the presence of two derivatives in the formula. To overcome these problems, we state a useful ansatz and we develop a number of simple arguments which tend to justify the removal of these terms. As soon as this is done, the formula becomes simpler and easier to interpret. In this respect, it is shown how the shell effects affect the mass parameters. A number of numerical tests help us in our conclusions.Comment: version 3 corrigendum of the ansatz of section V, corrigendum of the legend of Fig3. Submission = text file + 5 figure

A Computational Model for Temperature Monitoring During Human Liver Treatment by Nd:YaG Laser Interstitial Thermal Therapy (LITT)

Describing heat transfer in biological organs is absolutely challenging because it is involved with many complex phenomena. Therefore, understanding the optical and thermal properties of living system during external irradiation sources such as laser interstitial thermal therapy (LITT) are too important for therapeutic purposes, especially for hyperthermia treatments. The purpose of this study was to determine a proper laser power and irradiation time for LITT applicator to irradiate liver tissue during hyperthermia treatment. For this aim, bioheat equation in one-dimensional spherical coordinate is solved by Green function method to simulate temperature distribution and rate of damage around irradiated target and how thermal and optical properties such as laser power, laser exposure time, and blood perfusion rate affect the rate of temperature distribution. Guiding equations according to the suggested boundary conditions are written and solved by MATLAB software. The outcomes show that increasing laser exposure time and power increase the temperature, especially at the nearest distance from the center of diffusion. Accordingly, a decrease in blood perfusion rate leads to decrease temperature distribution. The findings show that the model is useful to help the physicians to monitor the amount of heat diffusion by laser power during the treatment to protect healthy cells

Complete Sequences of Organelle Genomes from the Medicinal Plant Rhazya Stricta (Apocynaceae) and Contrasting Patterns of Mitochondrial Genome Evolution Across Asterids

Rhazya stricta is native to arid regions in South Asia and the Middle East and is used extensively in folk medicine to treat a wide range of diseases. In addition to generating genomic resources for this medicinally important plant, analyses of the complete plastid and mitochondrial genomes and a nuclear transcriptome from Rhazya provide insights into inter-compartmental transfers between genomes and the patterns of evolution among eight asterid mitochondrial genomes. Results: The 154,841 bp plastid genome is highly conserved with gene content and order identical to the ancestral organization of angiosperms. The 548,608 bp mitochondrial genome exhibits a number of phenomena including the presence of recombinogenic repeats that generate a multipartite organization, transferred DNA from the plastid and nuclear genomes, and bidirectional DNA transfers between the mitochondrion and the nucleus. The mitochondrial genes sdh3 and rps14 have been transferred to the nucleus and have acquired targeting presequences. In the case of rps14, two copies are present in the nucleus; only one has a mitochondrial targeting presequence and may be functional. Phylogenetic analyses of both nuclear and mitochondrial copies of rps14 across angiosperms suggests Rhazya has experienced a single transfer of this gene to the nucleus, followed by a duplication event. Furthermore, the phylogenetic distribution of gene losses and the high level of sequence divergence in targeting presequences suggest multiple, independent transfers of both sdh3 and rps14 across asterids. Comparative analyses of mitochondrial genomes of eight sequenced asterids indicates a complicated evolutionary history in this large angiosperm clade with considerable diversity in genome organization and size, repeat, gene and intron content, and amount of foreign DNA from the plastid and nuclear genomes. Conclusions: Organelle genomes of Rhazya stricta provide valuable information for improving the understanding of mitochondrial genome evolution among angiosperms. The genomic data have enabled a rigorous examination of the gene transfer events. Rhazya is unique among the eight sequenced asterids in the types of events that have shaped the evolution of its mitochondrial genome. Furthermore, the organelle genomes of R. stricta provide valuable genomic resources for utilizing this important medicinal plant in biotechnology applications.King Abdulaziz UniversityIntegrative Biolog

A Study of Z-Transform Based Encryption Algorithm

It has become increasingly important to ensure the protection of information, especially data in transit. Therefore, it is the primary goal of any encryption algorithm to safeguard the protection of information against security attacks. It is equally important to design high-performance solutions with affordable cost of implementation. Encryption algorithms are used to transform plain text to the ciphertext in order to protect privacy, prevent data fraud, and prevent unauthorized access of data in daily transactions. There are multiple types of encryption algorithms, each with its niche tactics to enhance security. For instance, different kinds of algorithms include but are not limited to the following: Blowfish, RSA, AES, DES, Triple DES. This paper contributes an efficient and secure encryption algorithm technique for information security based on Z transformation and XOR function known as the Z Transformation Encryption (ZTE) technique. To elaborate, this technique implements concepts of Z transformation and XOR operations at the source. The reverse process is applied at the receiving end of the transaction wherein the inverse of Z transformation and XOR is applied to reveal the original plain text message. The simulation of the proposed algorithm is conducted using the R language. The results show a promising performance comparing to other symmetric algorithms

Preliminary Phytochemical Screening of Healthy and Leaf Curl Virus Infected Tomato (Solanum Lycopersicum) Leaves

The present investigation deals with the determination of phytochemical constituents of healthy and leaf curl virus infected tomato (Solanum lycopersicum) leaves. Specimens were collected from Koraye in Zaria and transported to the Herbarium unit for proper authentication. Healthy and curl leaves of Solanum lycopersicum were washed thoroughly three times with running tap water and once with sterile distilled water, air dried at temperature on a sterile blotter. After complete drying, young leaves were pulverized. The powdered material was weighed and kept in air tight container in dark place for further extraction procedure. Extraction was done by methanol method, where 100g each of pulverized powder of both healthy and infected Solanum lycopersicum leaves was put in a cornical flask and (1000ml) of measuring cylinder was used to measure 500ml of 70% methanol. The results obtained from the qualitative phytochemical analysis revealed the presence of; Alkaloids, Flavonoids, Tanins, Cardiac glycosides, Phenols and Saponins in both healthy and infected leaves of Solanum lycopersicum and the absence of; Carbohydrates, Steroids and Anthroquinone in both healthy and infected leaves of Solanum lycopersicum. While the quantitative analysis revealed the presence of 8.2% and 3.8% Alkaloids, 49.6% and 48.2% Flavonoids, 30.6% and 19.99%, Tanins 30.6% and 19.9%, Phenols 13.6% and 7.022% Saponins 1.2% and 0.1% in both healthy and infected leaf curl of Solanum lycopersicum. Evidently, from the above investigation there are no reducing sugars in Solanum lycopersicum leaves and there are metabolites in some healthy and infected leaf curl of Solanum lycopersicum leaves

Electron Momentum Density in Nickel (Ni)

In this paper, Compton profile of (Ni) was Calculated by employing both the renormalized-free atom(RFA) model and free electron(FE) model setting several configurations in subset (3d-4s). The results were compared with recent data ,It shows that the RFA calculation in(3d8.8-4s1.2) gives a better agreement with experiment.The calculated data used for the first time also to compute the cohesive energy of Nickle and compared it with available data. The Band structure and Density of state of Nickel crystals(DFT-LDA) also calculated by using code Quantum wise.Keywords: Compton profile,Electron momentum density, Cohesive energy, Band structure, Density of state