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Abstract: The blow-up method proves its effectiveness to characterize the integrability of the resonant saddles giving the necessary conditions to have formal integrability and the sufficiency doing the resolution of the associated recurrence differential equation using induction. In this work we apply the blow-up method to monodromic singularities in order to solve the center-focus problem. The case of nondegenerate monodromic singularities is straightforward since any real nondegenerate monodromy singularity can be embedded into a complex system with a resonant saddle. Here we apply the method to nilpotent and degenerate monodromic singularities solving the center problem when the center conditions are algebraic.
Keywords: monodromic singularity, blow-up, center problem, formal first integral
Published in DKUM: 25.08.2025; Views: 0; Downloads: 10
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Abstract: This study examines the relationship between digital transformation and sustainable practices within enterprises against the backdrop of global transformative forces framed within the holistic paradigm of systems thinking. It examines the extent to which digital advances either facilitate or impede the sustainable development of companies, while also considering the systemic impact of demographic variables (such as gender, age, education), national income levels, and geographical regions on business sustainability. Using data from the Global Entrepreneurship Monitor (GEM), which encompasses 26,790 entrepreneurs in 47 countries, this research uses multinomial regression to assess how these factors influence companies’ commitment to social and environmental goals. A key finding is that the strategic use of digital technologies in sales processes significantly increases the likelihood that entrepreneurs will integrate social and environmental considerations into their decision-making. Notably, this conscientious approach to business is most prevalent among entrepreneurs in Latin America and the Caribbean. Our findings underscore the central role of digital technologies in driving sustainable business transformation while also highlighting the significant influence of regional socio-environmental contexts on business sustainability orientations.
Keywords: creative problem solving, information technology, multi-criteria decision making, piecewise linear value function, prescriptive approach
Published in DKUM: 10.07.2025; Views: 0; Downloads: 3
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Abstract: In the last year, residential treatment centres in Slovenia have made a significant shift from traditional approaches to programs for young people which are adapted to their needs within the entire continuum of help: from preventive work to early detection, a range of support programs, various programs in out-ofhome care, and intensive treatment, up to the most difficult cases. It is therefore important that the work be properly reflected through quality settings. These concern all aspects of an institution's operation. Using a comparative method of comparing sources and analytical synthesis, we have shown all the important areas of operation of such a system. Orientation towards the areas of work quality represents a modern and current discourse, while simultaneously providing starting points for development.
Keywords: residential treatment centre, behavioural and emotional problem, disorders, professional centre, quality of work, forms of educational help
Published in DKUM: 30.06.2025; Views: 0; Downloads: 9
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Abstract: In order to model certain social network problems, the strong geodetic problem and its related invariant, the strong geodetic number, are introduced. The problem is conceptually similar to the classical geodetic problem but seems intrinsically more difficult. The strong geodetic number is compared with the geodetic number and with the isometric path number. It is determined for several families of graphs including Apollonian networks. Applying Sierpiński graphs, an algorithm is developed that returns a minimum path cover of Apollonian networks corresponding to the strong geodetic number. It is also proved that the strong geodetic problem is NP-complete.
Keywords: geodetic problem, strong geodetic problem, Apollonian networks, Sierpiński graphs, computational complexity
Published in DKUM: 11.03.2025; Views: 0; Downloads: 4
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Abstract: Objective: One potential strategy to address inadequate screening for somatic comorbidities among patients with mental disorders is to integrate a clinical pharmacist into the inpatient team for daily interdisciplinary ward rounds. This approach remains under-researched in psychiatric hospitals. This study aimed to evaluate the impact of a clinical pharmacist on drug-related problems (DRPs) during daily ward rounds within an interdisciplinary team in a psychiatric hospital. Methods: A retrospective observational pre-post study was conducted at the Ormož Psychiatric Hospital in Slovenia, including patients treated between 2019 and 2020, during which clinical pharmacists offered recommendations during daily ward rounds. The primary outcomes assessed the difference in the total number of DRPs observed at the time of hospital discharge compared to previous stage, as well as the recommendations and their continuation rate after three months. The secondary outcomes evaluated adherence to treatment guidelines. Results: The study included 186 patients (mean age: 58.1 years, SD=17.0). During ward rounds, 280 recommendations related to DRPs were conducted (1.5 recommendations per patient). Regarding the nature of DRPs, 154 (55.0%) were identified as expressed DRPs, while 127 (45.0%) were deemed potential DRPs. Following pharmacist recommendations, 133 (86.4%) of the expressed DRPs were successfully resolved. The majority of DRPs pertained to treatment effectiveness (N=179, 63.9%), followed by unnecessary treatments (N=86, 30.7%) and patient safety (N=15, 5.4%). Initially, the acceptance rate of recommendations was 88.9% (N=249) at discharge, declining to 63.2% (N=177) three months after discharge. The acceptance rate for somatic conditions at discharge was 87.8% (N=122), declining to 59.0% (N=82) three months after discharge. Adherence to treatment guidelines for somatic comorbidities increased (p < 0.05). Conclusions: The results indicate that this approach led to fewer DRPs, a high rate of acceptance, and better adherence to treatment guidelines. This is the first retrospective pre-post study in the European Union to include this collaboration in daily rounds at psychiatric hospitals, focusing on somatic comorbidities. However, the study also has significant limitations, such as its non-randomized design and short monitoring period, which should be addressed in future research.
Keywords: psychiatry, clinical pharmacy, hospital, ward rounds, drug-related problem
Published in DKUM: 07.01.2025; Views: 0; Downloads: 13
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