623,918 research outputs found
Soft Intersection Quasi-interior Ideals of Semigroups
No full textIt has been shown that generalizing the ideals of an algebraic structure is both interesting and beneficial for mathematicians. In this context, the concept of quasi-interior (Ԛꟾ) ideal was introduced as a generalization of quasi-ideal and interior ideal of a semigroup. In this paper, we apply this concept to soft set theory and semigroups, introducing a new form of soft intersection (S-int) ideal called the "soft intersection (S-int) quasi-interior (Ԛꟾ) ideal." The main objective of this study is to investigate the relationships between S-int Ԛꟾ ideals and other specific types of S-int ideals in a semigroup. It has been shown that every S-int interior ideal of a semigroup is an S-int Ԛꟾ ideal, and every S-int ideal is an S-int Ԛꟾ ideal. The S-int bi-ideal of a group is an S-int Ԛꟾ ideal, the S-int quasi-ideal of a regular group is an S-int Ԛꟾ ideal, the idempotent S-int Ԛꟾ ideal is an S-int bi-quasi-ideal and an S-int bi-interior ideal. Counterexamples are provided to show that the opposites of these statements are not always valid. We prove that for the converses to hold, the semigroup should be a group or regular, or the S-int Ԛꟾ ideal should be idempotent. Our main theorem, which demonstrates that if a subsemigroup of a semigroup is a Ԛꟾ ideal, then its soft characteristic function is an S-int Ԛꟾ ideal, and vice versa, enables us to establish a connection between semigroup theory and soft set theory. Through this theorem, we illustrate how this concept connects to the existing algebraic structures in classical semigroup theory. Additionally, we offer conceptual characterizations and an analysis of the concept in terms of soft set operations, including soft image and soft inverse image, supporting our claims with specific, informative examples. Furthermore, the connection between a regular semigroup and the structure of S-int Ԛꟾ ideals is established and presented
On the Distribution of the Prime Numbers
No full textThis research explores the distribution of prime numbers, which are a fundamental topic in number theory. The study originated from the author\u27s fascination with mathematics and the desire to discover something novel. The research proposes that the distribution of prime numbers follows a regular pattern starting from the number 2. The author suggests that prime numbers can be obtained by dividing certain even numbers that have four factors by the number 2, resulting in prime numbers in sequential order. This hypothesis was tested and confirmed through the practical application of the proposed mathematical formula. Additionally, the study found that even numbers greater than or equal to 8, with six or more factors, produce complex numbers. Thus, this research provides two main contributions: firstly, a mathematical formula for the distribution of prime numbers, and secondly, a formula for the distribution of complex numbers. These findings have potential applications in various mathematical fields, including cryptography and problem-solving in number theory
Antioxidant Effect of a Combination of S-Acetyl-L-Glutathione, Vitamin E, Silybum Marianum on Hepatic Cells under Oxidative Stress: An In Vitro Study
No full textOxidative stress plays a key role in the pathogenesis of liver diseases and can be involved in the inflammatory process of liver cells. The aim of this vitro study is to assess the antioxidant efficacy of three distinct components (fermented S-Acetyl -L-glutathione, Silybum marianum (L.) Gaern. and vitamin E all-rac-alpha-tocopheryl acetate) both individually and in combination (Glutasyl product). In addition, we also evaluated the combined antioxidant effect of the three ingredients on human hepatic cells subjected to oxidative stress induced by H2O2 treatment.
The results showed the dose-dependent antioxidant potential of the three components suggesting promising applications in medical contexts. The synergistic antioxidant effects observed for the Glutasyl was more than the individual components. Additionally, Glutasyl showed not-toxic activity on human hepatocytes and it could be considered useful in mitigating cytotoxicity induced by oxidative stress
Measuring industry-science links through inventor-author relations: A profiling method
No full textIn this pilot study we examine the performance of text-based profiling in recovering a set of validated inventor-author links. In a first step we match patents and publications solely based on their similarity in content. Next, we compare inventor and author names on the highest ranked matches for the occurrence of name matches. Finally, we compare these candidate matches with the names listed in a validated set of inventor-author names. Our text-based profile methodology performs significantly better than a random matching of patents and publications, suggesting that text-based profiling is a valuable complementary tool to the name searches used in previous studies.innovation; industry-science links; text-based profiling;
Mitigation of the Oxidative Damage in Liver Caused by Influenza Virus Infection in Mice by an Effective Combination of Oseltamivir and S-adenosyl-L-methionine (SAM)
No full textThis study aimed to estimate the protective effect of a combination of S-Adenosyl-L-methionine (SAM) as a precursor of glutathione and oseltamivir as a specific inhibitor of virus replication on oxidative damages caused by influenza infection in the liver of infected mice. Albino mice were inoculated with 10×LD50 of influenza virus A/Aichi/2/68(H3N2). Oseltamivir was applied for five days after infection, twice per day, in a dose of 2.5 mg/kg. SAM was applied for ten days in a 100 mg/kg dose, starting five days before inoculation. Markers of oxidative stress, mortality rate, mean survival time, index, and protection coefficient were followed. Influenza infection causes severe oxidative damage to the liver. All combinations of SAM and oseltamivir restored the levels of the biochemical markers to those in healthy animals and improved the virological parameters. A combination of SAM 100 mg/kg and oseltamivir 2.5 mg/kg, which is 1/4 of the optimal therapeutic mice dose, exhibits protection index and affects most effectively all the tested parameters. This study provides an easy-to-apply approach with a good therapeutic potential for co-medicating influenza infection with a specific antiviral agent and an antioxidant precursor
Several Derivative Formulas of Two Exponential Functions and Real Power of Hyperbolic Secant Function with a Generalization of a Formula for Specific Partial Bell Polynomials
No full textIn the paper, by virtue of some identities for the partial Bell polynomials and with the aid of the Faá di Bruno formula, the author presents several derivative formulas of two exponential functions and the real power of the hyperbolic secant function, and generalizes a formula for specific partial Bell polynomials
Study of Wind Speed and Wind Potential at Kagbeni, Thini and Palpa in Nepal
No full textThe primary objective of this paper is to study and analyze the wind characteristics and power potential at the three different places in Nepal. One year of wind speed data measured at 10 m and 20m height above ground level, provided by the Department of Alternative Energy Promotion Center, have been analyzed in this study. Direct use of data including the mathematics of probability and statistics has been applied to compute the wind power potential of the proposed sites with the occurrence of effective wind speed between cut-in and cut-out speed. The diurnal wind speed variation analysis of the three different sites showed that higher wind speed occurred during the daytime and reached a maximum at 3 PM whereas the lowest wind speed occurred after midnight and achieved a minimum at 7 AM to 8 AM. On basis of wind energy potential, Kagbeni has an annual potential energy of 3.98MWhr/m2 at 10m height and 4.82MWhr/m2 at 20m height while Palpa has the potential of 0.27MWhr/m2 and 0.36MWhr/m2 at the two heights with wind speed more or equal to 3m/s. Similarly, Thini has potential of 2.4MWhr/m2 and 2.9MWhr/m2 at 10m and 20m height on the limit of above wind speed. On the monthly basis, Kagbeni and Thini have the highest average wind speed in June whereas Palpa has in March and April. Likewise the highest value of wind speed at Kagbeni, Palpa and Thani are found as 22.53m/s and 21.75m/s; 17.66m/s and 17.11m/s, and 17.9m/s and 7.3m/s in April and March at heights of 10m and 20m respectively
Hermite-Hadamard-Fejér type inequalities for (k, h)-convex function via Riemann-Liouville and conformable fractional integrals
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On the sensitivity of Von Neuman and Morgenstern abstract stable sets : the stable and the individual stable bargaining set
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