Iranian Journal of Science and Technology, Transactions A: Science最新文献

In this manuscript, while referring to the concepts of fusion frames and scalable frames, we introduce scalable fusion frames and we present an equivalence condition that shows that the scalability of a fusion frame is equivalent to an operator condition between the diagonal operator and the fusion frame related operators, like analysis, synthesis and frame operator.

Concerns about hazardous of fossil fuels for the life of thousands creatures is an enough motivation to many of researchers to work on production of hydrogen as a green fuel. Amongst various methods to generate hydrogen, photocatalytical hydrogen evolution from water splitting is considered as an invaluable approach since enjoys free sources of energy and material. To synthesis an efficient photocatalyst, a common semiconductor of nitrogen-doped reduced graphene oxide was synthesized by an absolutely simple method, including thermal treatment of citric acid and guanidine. Guanidine provides best spatial arrangement of nitrogen atoms to anchor with a transition metal catalyst, for instance palladium nanoparticles in this research. Palladium nanoparticles supported on nitrogen-doped reduced graphene oxide promoted the water splitting with the turnover frequency of hydrogen generation 306 h^-1 at room temperature. Easy synthesis of the photocatalyst, high yield, additive-free reaction, mild conditions, and re-usability of the photocatalyst are some advantages of the present approach.

Drug discovery is a distinctive method of testing a drug before medical use, which is a vital step before drug development. Targets are proteins in the human cells. The drug compounds interact with the target, which helps to cure diseases of human beings. One of the most important areas of research in the field of drugs discovery is drug–target interaction (Öztürk et al. in Bioinformatics 34(17):i821–i829, 2018). It identifies interactions between proteins and targets in the human body and the chemical compounds in drugs. Several resources were wasted in terms of the cost and the time spent on research laboratory experiments to find the drug discovery. It is essential for drug discovery to make accurate predictions of drug–target interactions (DTI). A recent study found that deep learning (DL) models perform well at predicting DTI. Here now introduce Deep Purpose, an extensive and user-friendly DL library for DTI prediction. Drug repurposing is a technique for expanding or improving the use of a current drug or creating new uses for current drugs. In this case, gave pre-existing medications for the SARS CoV2 3CL protease repurposing method. The results were the ratings for each drug’s binding affinity to the SARS CoV2 3CL protease inhibitor. Building a machine learning regression model using the SARS CoV2 3CL protease inhibitor’s ChEMBL bioactivity data is also possible. It is to discover a drug’s bioactivity information for its possible effectiveness against a virus.

We present the stochastic quadratic polynomial based method, a novel solution method for Itô stochastic differential equations (SDEs). The idea is based on numerically computing the unknown function at the next two time points, and iteratively continuing this process until the final time is reached. To achieve this, the time interval is subdivided into smaller sub-intervals, and quadratic polynomials are used to approximate the solution between two successive intervals. The main properties of the stochastic numerical methods, e.g. convergence, consistency, and stability are analyzed. We test the proposed method in an SDE problem, demonstrating promising results. We also compare our method with classic stochastic schemes, such as Euler-Maruyama (EM) and Milstein schemes, and demonstrate that the proposed method achieves higher accuracy.

This article presents an innovative method for solving linear and nonlinear integro-differential equations using Vieta-Lucas polynomials as basis functions, combined with the Galerkin method. Initially, these polynomials are transformed within an arbitrary interval, and their orthogonality is utilized to approximate each function in the equation. A key aspect of this study is the detailed expression of the weight function and orthogonality conditions of these polynomials across any interval. Leveraging these properties and the Galerkin method, the integro-differential equation is converted into a system of algebraic equations. Error estimation is thoroughly investigated through several lemmas and theorems, and the existence and uniqueness of the solution are proven. Finally, numerical tests are conducted using Maple software to validate the accuracy and effectiveness of the proposed method, with comparative analyses demonstrating its superiority over existing techniques.

Petroleum coke has high carbon and 2.18% sulfur. It is generated as waste from refinery industries. The sulfur present in petroleum coke has been utilized to synthesize the ZnS photocatalyst by photolysis process. The ZnCl₂ and petroleum coke were pulverized in the ball mill where the two compounds are mixed at the ratio of 1:1. The catalyst is prepared by simple mixing technique, the photolysis process by maintaining constant temperature. The mixture is suspended in 100 mL water and mixed well. The solution was illuminated using 100W Ultraviolet (UV) lamp. The solution is well mixed using magnetic stirrer during the UV illumination process. After the photolysis process, the prepared sample is filtered. Then the synthesized sample is characterized to study the property of the nanocomposite. The prepared catalyst is used as a photocatalyst for the decolorization of Acid Red dye.

In this paper, we consider wavelet coapproximation in Hermite wavelets and Haar wavelets. At first, we define wavelet coapproximation of a function with concerning a set. We show that if the series (sum _{n=0}^{infty }sum _{m=0}^{infty }|t_{n,m}|^2) is convergent, then there exists a wavelet coapproximation for a set.

This paper aims to extend several well-known theorems regarding porosity in Lebesgue and Orlicz spaces to generalized Orlicz spaces associated with quasi-Banach spaces. We will explore the implications of these extensions and provide a comprehensive analysis of their significance in the broader context of functional analysis. Additionally, we will present results concerning homogeneous spaces, and relationships with the generalized Orlicz spaces.

This paper examines some systems of matrix equations with ({phi })-Hermitian solutions for some nonstandard involution ({phi }) over the real quaternion algebra. We use the solvability conditions to determine the general solution for these systems, that is included a unique unknown. This approach entails using the Moore-Penrose inverse and the equality of coefficient matrix ranks. We employ these techniques to construct new algorithms capable of calculating general solutions. As a result, we identify the necessary and sufficient conditions for these systems’ consistency, leading to the derivation of their general solutions. We also applied these algorithms in some numerical examples to verify the theoretical outcomes.

The application of alkalescent nucleoside antibiotics loaded onto zinc oxide nanoparticles (ZnONPs) may have a positive impact on multiple aspects of rice plants, such as antioxidant enzymes, proteins, Molandialdehyde (MDA), Hydrogen peroxide (H₂O₂), proline, photosynthesis, hormones, fatty acids, and metabolites. The rice plants that were subjected to Magnaporthe grisea + ZnONPs treatment induced high levels of activity in parameters such as superoxide dismutases, peroxidase, MDA, H₂O₂, jasmonic acid, salicylic acid, and indole acetic acid. On the other hand, the plants that were treated solely with ZnONPs induced the highest levels of catalase, protein, proline, photosynthesis rate, abscisic acid, phenol, and flavonoid in the rice plant. ZnONPs also significantly impact fatty acids compared to the control group. The study's overall conclusion is that alkalescent nucleoside antibiotic-loaded ZnONPs can combat the biotic stress caused by M. grisea. Furthermore, they induce rice plants' physiological and biochemical functions, indicating that these biofabricated ZnONPs positively impact rice plants.