ON THE GENERALIZED FRESNEL SINE INTEGRALS AND CONVOLUTION

The generalized Fresnel sine integral Sk(x) and its associated functions Sk+(x) ; Sk-(x) are de�fined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the generalized Fresnel sine integral and its associated functions are then found

HIGHER EDUCATIONAL POLICIES: PROBABILITY OF HEIGHT SCHOOL STUDENTS DOR CONTINUED STUDDING ON UNIVERSITIES

Higher Education System reforms, from incorporation of ECTS until present,are evaluative process in Macedonian height educational system. The reforms causedcommercialization of the educational process with multiplication of private educationalinstitutions, and later continued with opening of the new state universities. But, the higherlevel of enrolled height school students on university level are not related with this type ofmultiplication and university education dispersions, but overall is related with implementationof ECTS system. Parallel, the tendency Macedonian students studying abroad is result ofglobal and regional educational policies and liberalization of educational space in general.Yet, Higher education politics, as in the wider region, and in the county refers to dominationin quality and quantity of state own higher educational institutions over private universities.Those tendencies can be seen in the perceptions of height school students for continuation ontheir education on tercial level

Евалуација на болничка фармација – фармацевтска грижа и услуги

Здравствената стратегија на Република Македонија која е донесена во 2021 година и проектирана до 2030 година е фокусирана на: организација на здравствената заштита, (квалитет, планирање и човечки ресурси), финансирање и фармацевтски услуги. Имајќи го предвид последниот приоритет, дефинирани се општите принципи за воспоставување фармацевтски услуги, како и улогата на фармацевтите во терапевтското управување со лекови, самолекувањето и промоцијата на здравјето. Целта е да се идентификуваат квалитетот и стандардите на болничката фармација врз основа на фармацевтската нега и услуги во болничките аптеки во Република Северна Македонија. За таа цел беше подготвен структуриран прашалник и истиот беше доставен по електронски пат, по пошта и/или директно до фармацевтите од 15 болнички аптеки, од кои 11 беа централни и 4 од терциерна здравствена заштита. Прашалникот беше распореден во неколку дела и тоа: пристап до податоците за пациентот и улогата на фармацевтот во терапевтското управување со лекови, пристап до информациите за лекови, достапност и комуникација со информативните центри за лекови, комуникација со центарот за несакани реакции, компетентност на персоналот, континуирана едукација и професионален развој. Прашањата беа одговорени со внесување на една од трите опции: А (имплементирана), Б (делумно имплементирана) и В (не имплементирана). Врз основа на резултатите добиени од прашалникот кои укажуваат на делумно спроведување на добрата фармацевтска пракса и фармацевтска грижа во болничките аптеки, евидентна е потребата од подобрување на болничката фармација, особено во доменот со едукација и советување на пациентите

STEM Approach in Teaching Mathematics

Mathematics appears as essential subject in many academic studies. But students usually find math as difficult, and moreover consider its content as useless, thus avoid such studies. This is a reason for changing traditional approach in teaching mathematics and develop new one, which will emphasize problem-based learning. We will consider in this paper STEM approach in teaching mathematics

Modeling, Analysis and Simulation of Tuberculosis

Tuberculosis (noted as TB) is a highly contagious disease caused by Mycobacterium tuberculosis that throughout history has caused a lot of deaths. The analysis of TB is through mathematical models with differential equations describing the dynamics of epidemic spread and its control and prevention. In this paper SEIR+D model of TB will be represented. According to this model the total population is divided into five compartments: susceptible, exposed, infected, recovered and death. In this paper an evaluation of rates (transmission rate, incubation rate etc.) at which individuals flow from one compartment to another under different scenarios will be represented

Products of distributions in Colombeau Algebra-FMNS 2023

We evaluate some products of distributions in Colombeau algebra of generalized functions. In the classical theory of Schwartz distributions, multiplication of distributions is not defined for two arbitrary singular distributions. The properties of the Colombeau alegebra allow us to calculate products of singular distributions which are not defined in the classical theory. The notion of association in Colombeau algebra of generalized functions allows us the results obtained in this way to be considered as products in the classical theory of distributions. The definition of the Colombeau product of distributions can be considered as generalization of their classical product in Schwartz theory

Pharmacoeconomic analysis of parenteral therapy consumption in hospital pharmacy at Clinical Hospital – Stip

Improper management of drugs and medical devices is a complex problem at all health care levels. A study conducted in 2016 in which were included 35 hospitals in Poland (Religioni, 2016), was the basis for developing a drug management system. This study showed that most managers, including pharmacists (62.86%) have no knowledge for the principles of drug management optimization. Only 20% of them used pharmacoeconomic analysis and 25% did not use any analysis. 77% of the respondents selected the drugs based on the lowest price

Математика за I година средно стручно образование Струки: Геолошко-рударска и металуршка, Градежно-геодетска, Графичка, Економско-правна и трговска, Електротехничка, Лични услуги, Машинска, Сообраќајна, Текстилно-кожарска, Угостителско-туристичка, Хемиско технолошка

Овој учебник е наменет пред сè за учениците од средните стручни училишта во Република Северна Македонија во кои се изучуваат струките: геолошко – рударска и металуршка, градежно – геодетска, графичка, економско – правна и трговска, електротехничка, машинска, сообраќајна, угостителско – туристичка, текстилно – кожарска, хемиско - технолошка и други, како основен учебник по предметот математика, но истата може да послужи како одлична литература за секој што сака да ги изучува модуларните единици опфатени во книгата

Can ChatGPT be used for solving ordinary differential equations

In this research we have conducted an empirical study to evaluate the capabilities of OpenAI’s chat bot ChatGPT for automated software code generation and programming numerical methods for solving various types of differential equations. We have tested the ChatGPT for analytical as well as numerical solution of the first and second order ordinary differential equations. The obtained results suggest that ChatGPT is a promising AI tool for programming numerical algorithms and solving differential equations. However, there are still some limitations and challenges of using AI for numerical solution generation, related to the potential biases in the algorithm, as well as the need for a large amount of high-quality training data. However, as AI technology continues to develop, it is likely that the use of AI for programming will become more prevalent and effective in the future

Using ChatGPT for Numerical Solution of First and Second Order Ordinary Differential Equations

Considering the existing theories for learning or development of mathematical knowledge on specific subjects and following the latest development in the field of Artificial intelligence (AI), especially the public availability of ChatGPT, we decided to evaluate its capabilities for numerical solution of ordinary differential equations (ODE) from multiple aspects such as: Conceptual Understanding, Procedural Proficiency, Problem Solving and Application in Real-world Contexts. For the purpose of this research custom methodology based on specific indicators was developed. Obtained results suggest that ChatGPT is a promising AI tool for numerical solution of ODEs as well as for programming code generation. However, there are still some limitations and challenges when using AI for numerical solution generation, such as the need for large amounts of high-quality training data, potential biases in the algorithm, and the ability to explain how the algorithm came up with its output. This is especially valid for more complex problems