Abstract: A zero-Hopf equilibrium in ℝ3 is an isolated equilibrium point whose eigenvalues are a pair of purely imaginary values and zero, properly. We study a general theory to know when from the equilibrium bifurcates a periodic orbit of small width moving the parameters of the system, this theory is known as the averaging theory. This technique of obtaining the averaging turns the finding of periodic orbits of the differential systems to finding zeros of some adequate functions of a third dimension, further providing analytic estimations about the shape of those periodic orbits. This paper shows the way to calculate periodic orbits bifurcating from the equilibrium points of zero-Hopf type, using the averaging theory. Particularly, first is given the characterization of the values of the parameters for which the zero-Hopf equilibrium point appears in the Rössler system, and are finding two parameters’ families that shown these equilibriums; from one of these families, is studied the existence of a bifurcated periodic orbit from the zero-Hopf equilibrium, for it, is given the proof of two main theorems that sustain the demonstration of the theorem, that provides an approximation of first-order for periodic solutions, for a periodic differential system.

Resumen: Un equilibrio cero-Hopf en ℝ3 es un punto de equilibrio aislado cuyos valores propios son un par de valores puramente imaginarios y el valor propio cero. Para tal equilibrio, se estudió una teoría general para saber cuándo a partir de este equilibrio se bifurcan órbitas periódicas de pequeña amplitud al mover los parámetros del sistema, esta teoría es conocida como la teoría del promedio. La aplicación de promedios convierte el problema de encontrar órbitas periódicas de los sistemas diferenciales, en encontrar ceros de algunas funciones adecuadas de dimensión tres, además de proporcionar estimaciones analíticas de la forma de estas órbitas periódicas. Aquí se muestra la manera de calcular órbitas periódicas a partir de puntos de equilibrio cero-Hopf utilizando la teoría del promedio. En particular, primero se da la caracterización de los valores de los parámetros para los cuales el punto de equilibrio cero-Hopf tiene lugar en los sistemas Rössler, y se encuentra dos familias de parámetros que exhiben tales equilibrios, de una de ellas se estudia la demostración de la existencia de una órbita periódica bifurcada desde el equilibrio cero-Hopf, para ello, se da la prueba de dos teoremas principales que sustentan la demostración del teorema, que proporciona una aproximación de primer orden para soluciones periódicas de un sistema diferencial periódico.

BACKGROUND: The transfer of all types of knowledge in occupational therapy practice is complex, and there is little agreement globally on the most important types of knowledge that inform clinical practice. This study aimed to uncover the perspectives of occupational therapists in the Free State, South Africa on knowledge transfer in clinical practice. METHODOLOGY: Q methodology was used to collect data from 14 occupational therapists utilising Q Method Software. RESULTS: Factor analysis revealed two factors with eigenvalues of greater than 1. Factor 1 had an eigenvalue of 2.97, and factor 2 had an eigenvalue of 1.48. These two factors were constructed from six and five participants' Q Sorts respectively, with the highest factor loads for factor 1 and factor 2. Thematic content analysis of these two factors identified two themes, namely: client-centred philosophy and practice informed through clinical reasoning. CONCLUSION: The strategic use of Q methodology presented empirical evidence of the transfer and utilisation of all types of knowledge in clinical practice in the Free State, South Africa. The results indicated the transfer of propositional, procedural, personal, and client knowledge strengthens client-centred practice and manifests in clinical reasoning. Furthermore, the results indicate an interdependence between the types of knowledge, meaning that it is important that therapists utilise all types of knowledge and not rely on only one form of knowledge when they work with patients to promote well-being. IMPLICATIONS FOR PRACTICE: • Q Methodology is an ideal research method to identify the subjective perspectives of participants where different opinions on a topic might exist. • Clinicians hold a wealth of practice experience and personal knowledge that should be shared and captured through research. • The client's voice needs to be heard more often to ensure client-centred practice is not only an idea on paper.

Abstract This paper is concerned with a class of fractional p(x, y)−Kirchhoff type problems with Dirichlet boundary data along with indefinite weight of the following form By means of direct variational approach and Ekeland’s variational principle, we investigate the existence of nontrivial weak solutions for the above problem in case of the competition between the growth rates of functions p and r involved in above problem, this fact is essential in describing the set of eigenvalues of this problem.

Resumen Este artículo estudia una clase de problemas de tipo p(x, y)−Kirchhoff fraccionarios con data Dirichlet en el borde junto con un peso indefinido de la siguiente forma A través del enfoque variacional directo y el principio variacional de Ekeland, investigamos la existencia de soluciones débiles no triviales para el problema anterior en el caso de competencia entre las tasas de crecimiento de las funciones p y r involucradas en el problema. Este hecho es esencial para describir el conjunto de valores propios de este problema.

RESUMEN Introducción: El estudio de las emociones en el ambiente de trabajo es un tema actual y pertinente en relación con la prevención de los problemas de la salud mental en el trabajo y la gestión de los factores psicosociales laborales. Objetivos: Determinar la validez y confiabilidad de la escala de afectividad positiva y negativa y describir el ambiente emocional en un centro de control de tráfico aéreo. Métodos: Se realizó un estudio descriptivo con un diseño transversal. Se aplicó el instrumento a nivel personal y organizacional. Se emplearon medidas de tendencia central, medidas de asociación, coeficientes de correlación y análisis factorial con el método de extracción de componentes principales con rotación Varimax y normalización Kaiser. Resultados: La consistencia interna de las dos escalas en ambos niveles fue superior a 0,70. En un rango de valores entre 10 y 50, la afectividad positiva a niveles personal y ambiental están cercanas (mediana 38 y 37 respectivamente) la negativa coincide (mediana 13). En la conciencia emocional personal se forman 6 factores con autovalores que explican el 67,586 % de la varianza total. En la conciencia emocional ambiental 4 componentes explican el 68,829 % de la varianza. Conclusiones: Predominan las emociones positivas a nivel personal: activo, atento, alerta y decidido, en cuanto al nivel ambiental coinciden, excepto alerta. Las emociones menos percibidas en ambos niveles son: avergonzado, culpable y temeroso. Los resultados apuntan a la pertinencia de ambos niveles para caracterizar el ambiente emocional en una organización laboral.

ABSTRACT Introduction: The study of emotions in the work environment is a current and pertinent issue in relation to the prevention of mental health problems at work and the management of occupational psychosocial factors. Objectives: Determine the validity and reliability of the positive and negative affectivity scale and describe the emotional environment in the Air Traffic Control Center. Methods: A descriptive study with a cross-sectional design was carried out. The positive and negative affectivity scale was applied at a personal and organizational level. Measures of central tendency, measures of association, correlation coefficients, and factor analysis were used with the principal component extraction method with Varimax rotation and Kaiser normalization. Results: The internal consistency of the two scales at both levels was higher than 0.70. In a range of values between 10 and 50, the positive affectivity at personal and environmental levels are close (median 38 and 37 respectively), the negative coincides (median 13). In personal emotional awareness, 6 factors are formed with eigenvalues that explain 67.586% of the total variance. In environmental emotional awareness, 4 components explain 68.829% of the variance. Conclusions: Positive emotions predominate on a personal level: active, attentive, alert and determined, regarding the environmental level they coincide except alert. The least perceived emotions in both levels are: ashamed, guilty and afraid. The results point to the relevance of both levels to characterize the emotional environment in a work organization.

Abstract The study explores the Ichthyofaunal diversity of freshwater Cyprinidae fish in the Panjkora River of Dir, Khyber Pakhtunkhwa, Pakistan. A total of 911 fish samples were collected from 5 different sites along the river and identified using standard identification keys. Out of the 911 fish samples, 204 were related to family Cyprinidae, having 4 sub families, i.e Cyprininae representing 3 species i.e Carassius auratus, Cyprinus carpio, Cyprinus watsoni, Danioninae representing 6 species i.e Barilius modestus, Barilius vagra, Barilius pakistanicus, Amblypharangodon mola, Salmophasia punjabensis, Rasbora daniconius, Labeoninae representing 5 species i.e Tor putitora, Crossocheilus diplocheilus, Gara gotyla, Labeo rohita, Labeo diplocheilus, and Barbinae representing 6 species i.e Puntius ticto, Puntius sophore, Puntius chonchonius, Schizothorax esocinus, Schizothorax labiatus and Schizothorax plagiostomus. This study adds 6 new species i.e Amblypharangodon mola, Salmophasia punjabensis, Labeo rohita, Labeo diplocheilus, Puntius chonchonius and Rasbora daniconius for the 1st time which are not reported earlier. EXCEL 2019 and XLSTAT were used for principal components analysis to study richness and correlation of fish diversity. Eigenvalues obtained from Sheringal to Zulam are 3.72, 0.511, 0.37, 0.29 and 0.09 respectively. The higher eigenvalue of Sheringal site shows higher diversity. Water quality study shows that the mean values of water temperature was 16.8°C, pH 7.08, total hardness134.6 mg/L, alkalinity 89.3 mg/L, Nitrate 5.93 mg/L, Chlorine 0.87 mg/L, Nitrite0.02 mg/L and Copper 0.04 mg/L, Iron 0.07 mg/L, Lead 0.002 mg/L. The physicochemical parameters of river Panjkora during the study time remained within the permissible limits as prescribed by the WHO (2005). Gut analysis revealed the presence of algae, nymphs insect’s larvae, macroinvertebrates and protozoans. Dir Pakhtunkhwa Pakistan 91 keys 20 families ie i e auratus carpio watsoni modestus vagra pakistanicus mola punjabensis putitora diplocheilus gotyla rohita ticto sophore esocinus plagiostomus st earlier 201 372 72 3.72 0511 0 511 0.511 037 37 0.37 029 29 0.2 009 09 0.0 respectively 168C C 16 8 16.8°C 708 7 08 7.08 hardness1346 hardness hardness134 hardness134. mgL mg L 893 89 89. 593 93 5.9 087 87 0.8 Nitrite002 Nitrite Nitrite0 02 Nitrite0.0 004 04 007 07 0002 002 0.00 2005. 2005 . (2005) algae insects insect s larvae protozoans 9 2 3.7 051 51 0.51 03 0.3 0. 00 1 70 7.0 hardness13 59 5. Nitrite00 Nitrite0. 000 200 (2005 3. 05 0.5 7. hardness1 (200 (20 (2 (

Resumo O presente estudo explora a diversidade ictiofaunística de peixes Cyprinidae de água doce no rio Panjkora de Dir, Khyber Pakhtoonkhwa, Paquistão. Um total de 911 amostras de peixes foram coletadas em 5 locais diferentes ao longo do rio e identificadas usando chaves de identificação padrão. Das 911 amostras de peixes, 204 eram relacionadas à família Cyprinidae, com 4 subfamílias, ou seja, Cyprininae representando 3 espécies, isto é, Carassius auratus, Cyprinus carpio, Cyprinus watsoni, Danioninae, representando 6 espécies, ou seja, Barilius modestus, Barilius vagra, Barilius pakistanicus, Amblypharangodon mola, Salmophasia punjabensis, Rasbora daniconius, Labeoninae representando 5 espécies, ou seja, Tor putitora, Crossocheilus diplocheilus, Gara gotyla, Labeo rohita, Labeo diplocheilus e Barbinae, representando 6 espécies, ou seja, Puntius ticto, Puntius sophore, Puntius chonchonius, Schizothorax esocinus, Schizothorax labiatus e Schizothorax plagio estoma. Este estudo adiciona 6 novas espécies, como Amblypharangodon mola, Salmophasia punjabensis, Labeo rohita, Labeo diplocheilus, Puntius chonchonius e Rasbora daniconius pela primeira vez, que não foram relatadas anteriormente. EXCEL 2019 e XLSTAT foram usados para análise de componentes principais para estudar a riqueza e correlação da diversidade de peixes. Os autovalores obtidos de Sheringal a Zulam são 3,72, 0,511, 0,37, 0,29 e 0,09, respectivamente. O autovalor mais alto do site Sheringal mostra maior diversidade. O estudo da qualidade da água mostra que os valores médios da temperatura da água foram 16,8 °C, pH 7,08, dureza total 134,6 mg/L, alcalinidade 89,3 mg/L, Nitrato 5,93 mg/L, Cloro 0,87 mg/L, Nitrito 0,02 mg/ L e Cobre 0,04 mg/L, Ferro 0,07 mg/L, Chumbo 0,002 mg/L. Os parâmetros físico-químicos do rio Panjkora durante o tempo de estudo permaneceram nos limites permitidos conforme prescrito pela OMS (2005). A análise intestinal revelou a presença de algas, ninfas, larvas de insetos, macroinvertebrados e protozoários. Dir Pakhtoonkhwa Paquistão 91 padrão 20 subfamílias seja espécies é auratus carpio watsoni Danioninae modestus vagra pakistanicus mola punjabensis putitora gotyla rohita Barbinae ticto sophore esocinus estoma vez anteriormente 201 372 72 3,72 0511 0 511 0,511 037 37 0,37 029 29 0,2 009 09 0,09 respectivamente 168 16 8 16, C °C 708 7 08 7,08 1346 134 134, mgL mg mg/L 893 89 89, 593 93 5,9 087 87 0,8 002 02 0,0 004 04 007 07 0002 0,00 físicoquímicos físico químicos 2005. 2005 . (2005) algas ninfas insetos protozoários 9 2 3,7 051 51 0,51 03 0,3 0, 00 1 70 7,0 13 59 5, 000 200 (2005 3, 05 0,5 7, (200 (20 (2 (

ABSTRACT Purposes: This study aimed to determine the association of the long-term refractive outcomes of cataract surgery with self-reported visual function obtained using Catquest-9SF. Methods: Patients recruited from the cataract outpatient clinic of VER MAIS Oftalmologia underwent a complete ophthalmologic examination. Patients who were diagnosed with cataract with indications for phacoemulsification and intraocular lens implantation received the Catquest-9SF questionnaire before and after surgery at 30 days and 1 year. Results: A total of 133 patients were recruited, but 32 patients were lost to follow-up; finally, data from 101 patients (48 men, 53 women) were analyzed. The crude variance explained by the data was 69.9%, and the unexplained variance in the first contrast was 2.39 eigenvalues (>2); thus, these results are different from those expected from random data. The people separation index was 2.95 (>2), and the people trust value was 0.9 (>0.8). These indices were evaluated in the assessment of skill levels. Visual acuity was the main variable that correlated with the Catquest score. Conclusions: The Catquest-9SF translated into Portuguese proved to be a one-dimensional and psychometrically valid tool to assess visual dysfunction in patients with cataract, and it is successful in objectively quantifying improvements after surgery. The results of this tool could be predictive and concordant of visual acuity improvement. Purposes longterm long term selfreported self reported Catquest9SF. Catquest9SF CatquestSF 9SF. 9SF SF Methods examination 3 year Results 13 followup follow up follow-up finally 10 48 (4 men 5 women analyzed 699 69 9 69.9% 239 2 39 2.3 >2 (>2) thus 295 95 2.9 >2, , 09 0 0. >0.8. 08 >0.8 . 8 (>0.8) levels score Conclusions onedimensional one dimensional improvement 4 ( 6 69.9 23 2. > (>2 29 >0. (>0.8 69. (> >0 (>0. (>0

RESUMO Objetivo: Associar os resultados refrativos a longo prazo da cirurgia de catarata e a função visual autorreferida pelo questionário Catquest-9SF. Métodos: Paciente recrutados no ambulatório de catarata da VER MAIS Oftalmologia, foram submetidos a exame oftalmológico completo. Após diagnóstico de catarata com indicação de tratamento cirúrgico com facoemulsificação e implante de lente intraocular, o questionário foi aplicado antes da intervenção, 30 dias após cirurgia e 1 ano após, novamente. Resultados: Foram recrutados 133 pacientes. No decorrer do seguimento, 32 pacientes foram perdidos e ao final foram analisados os dados de 101 pacientes, dos quais 48 foram homens e 53 foram mulheres. A variância bruta explicada por dados foi de 69,9% e a inexplicada em primeiro contraste por 2,39 eigenvalores, sendo maior que 2, o que nos mostra que são resultados differentes dos esperados de dados aleatórios. O índice de separação de pessoas foi de 2.95 (>2) e o valor de confiança de pessoas foi de 0,9 (>0,8). Estes índices são os valores mínimos aceitáveis na diferenciação de níveis de habilidade. Acuidade visual foi a principal variável correlacionada com o score do Catquest. Conclusões: O Catquest-9SF traduzido para o português se demonstrou unidimensional e uma ferramenta psicometricamente válida para avaliar disfunção visual em pacientes com catarata, além de ter tido sucesso para quantificar objetivamente melhoras após a intervenção cirúrgica. Essa ferramenta pode ser utilizada como preditiva e concordante da melhora da acuidade visual. Objetivo Catquest9SF. Catquest9SF CatquestSF Catquest 9SF. 9SF SF Métodos Oftalmologia completo intraocular 3 novamente Resultados 13 seguimento 10 4 5 mulheres 699 69 9 69,9 239 2 39 2,3 eigenvalores aleatórios 295 95 2.9 >2 (>2 09 0 0, >0,8. 08 >0,8 . 8 (>0,8) habilidade Conclusões cirúrgica 6 69, 23 29 2. > (> >0, (>0,8 ( >0 (>0, (>0

The 2007 classic book by David Morin entitled “Introduction to Classical Mechanics”, well known among students of Physics Olympiads, contains many exercises of coupled oscillations that inspired problems in recent exams. In this paper, we present these problems, including their solutions and computational simulations using advanced features of Desmos, a free online graphics system. Moreover, we show a more didactic general way of handling such problems, even the most complex ones, using Linear Algebra and Graph Theory. 200 Introduction Mechanics, Mechanics , Mechanics” Olympiads exams paper Desmos system Moreover ones Theory 20 2

O clássico livro de David Morin intitulado “Introduction to Classical Mechanics” de 2007, bem conhecido entre os estudantes de olimpíadas internacionais de Física, contém vários exercícios de oscilações acopladas que inspiraram problemas em provas recentes. Neste artigo, apresentamos esses problemas, incluindo soluções e simulações computacionais usando recursos avançados do Desmos, um sistema gráfico online e gratuito. Além disso, mostramos um modo geral mais didático de se compreender tais problemas, mesmo os mais complexos, combinando Álgebra Linear e Teoria dos Grafos. Introduction Mechanics 2007 Física recentes artigo Desmos gratuito disso complexos Grafos 200 20 2

Resumen El objetivo de este estudio es determinar las potencialidades de los pastos más utilizados en los sistemas de producción familiar en la provincia de Los Ríos, Ecuador, durante el verano. El estudio se realizó en áreas de investigación y en el Laboratorio de Ruminología y Metabolismo Nutricional de la Universidad Técnica Estatal de Quevedo. Las especies más utilizadas en los sistemas ganaderos fueron seleccionadas para realizar estudios de comportamiento productivo (biomasa total, RMS total, hojas y tallos) calidad (MS, PB, cenizas, MO, P, Ca, FDN, FDA, LAD, Cel, Hcel, CC, TT, FT, TCT, DIVMS, DISMS, DMO, EM y ENL), a las que se les realizaron análisis de conglomerados para agrupar especies con similitud. Para la producción y composición química se obtuvieron tres componentes principales con valores propios superiores a uno y que explican 87.27 % de la variabilidad entre las variedades. En el componente uno se mostraron 11 indicadores relacionados con proteína, energía y los componentes estructurales de la célula con valores de preponderancia mayor de 0.75. Para el análisis de conglomerados se formaron cinco grupos, con los mejores resultados para el tercer grupo, lo integró el M. maximus con valores altos en la PB, relación hoja/tallo, DISMS y EM. Toda esta información contribuiría al diseño de alternativas tecnológicas para siembra, establecimiento, manejo y uso de su biomasa como fuente de alimento donde se minimiza la productividad y la sostenibilidad del ecosistema.

Abstract The aim of this study is to determine the potentialities of the most used grasses in family production systems in Los Ríos province, Ecuador, during the summer. The study was carried out in research areas and in the Ruminology and Nutritional Metabolism Laboratory of the Quevedo State Technical University. The species most used in livestock systems were selected to carry out studies of productive behavior (total biomass, total DMY, leaves and stems) and quality (DM, CP, ashes, OM, P, Ca, NDF, ADF, Lignin, Cel, Hcel, CC, IVDMD, ISDMD, OMD, ME and NLE), which underwent cluster analysis to group species with similarity. For production and chemical composition, three main components were obtained with eigenvalues greater than one and that explain 87.27 % of the variability between varieties. In component one, 11 indicators related to protein, energy and the structural components of the cell were shown with values of preponderance greater than 0.75. For the cluster analysis, five groups were formed, with the best results for the third group, made up of M. maximus with high values in CP, leaf/stem ratio, ISDMD and ME. All this information would contribute to the design of technological alternatives for sowing, establishment, management, and use of its biomass as a food source where the productivity and sustainability of the ecosystem are minimized.

Abstract In graph theory, a prism over a graph G is the cartesian product of the graph G with P₂. The purpose of this work is to investigate the complexity of the prisms of some path and cycle-related graphs. In particular, we obtain simpler and more explicit formulas for the complexity of a special class of prisms of path-related graphs: fan graph, ladder graph, the composition Pn[P₂] graph, and book graph. Moreover, we obtain straightforward formulas for the complexity of a special class of prisms of cycle-related graphs: wheel graph, gear graph, prism graph, n−crossed prism graph, mirror graph M(Cn) of even cycle Cn, twisted prism, total graph T(Cn) of the cycle Cn, the friendship graph, the flower graph, and planner sunflower graph. These closed formulas are deduced using some basic properties of block matrix, recurrence relation, eigenvalues of circulant matrices, and orthogonal polynomials.

Abstract Let di be the degree of vertex vi of G then Randić matrix R(G) = [rij ] is defined as rij = 1/ √didj, if the vertices vi and vj are adjacent in G or rij = 0, otherwise. The Randić energy is the sum of absolute values of the eigenvalues of R(G). In this paper we have investigated Randić energy of m-Splitting and m-Shadow graphs. We also have constructed a sequence of graphs having same Randić energy.

The construction industry in Ghana is labour-intensive and relies heavily on the skills of its workforce. No coordinated policy framework has been implemented or developed to guide and mainstream the application of labour-intensive methods in Ghana's development process. The aim of this article is to develop a framework for optimising labour-intensive productivity for construction work. The article adopted a quantitative research design, using a questionnaire survey to determine the factors influencing labour-intensive productivity in the Ghanaian construction industry. Records available at the Ghana Social Opportunity Project (GSOP) indicate that there are 920 professionals involved in labour-intensive works on road infrastructure. A purposive sampling technique was used to select 40 districts that were into road construction projects; from these, 560 respondents were considered. Descriptive statistics and inferential statistics were used for the data analysis. Principal axis factor analysis revealed six components in the three labour-productivity categories with eigenvalues above 1 that may influence the optimisation of labour-intensive productivity for construction projects in Ghana. These comprise equipment and tools, material and temperature. Optimising labour-intensive productivity in construction works requires the involvement of all stakeholders, including project managers, workers, suppliers, and subcontractors. By implementing the six components in the proposed labour productivity framework, construction projects can achieve increased productivity, cost savings, and improved outcomes. The framework may help policymakers in the construction industry review the existing national policies that are geared towards helping indigenous firms in improving productivity in the construction industry.

Die konstruksiebedryf in Ghana is arbeidsintensief en maak staat op die vaardighede van sy arbeidsmag. Geen gekoördineerde beleidsraamwerk is geïmplementeer of ontwikkel om die toepassing van arbeidsintensiewe metodes in Ghana se ontwikkelingsproses te lei nie. Die doel van hierdie artikel is om 'n raamwerk te ontwikkel vir die optimalisering van arbeidsintensiewe produktiwiteit vir konstruksiewerk. Die artikel het 'n kwantitatiewe navorsingsontwerp aangeneem wat 'n vraelysopname gebruik het om die faktore te bepaal wat arbeidsintensiewe produktiwiteit in die Ghanese konstruksiebedryf beïnvloed. Rekords beskikbaar by die Ghana Social Opportunity Project (GSOP) dui aan dat 920 professionele persone betrokke was by arbeidsintensiewe werke aan padinfrastruktuur. 'n Doelgerigte steekproeftegniek is gebruik om 40 distrikte te selekteer wat in padbouprojekte betrokke was; hieruit is 560 respondente oorweeg. Beskrywende en inferensiële statistiek is vir die data-analise gebruik. Hoofasfaktoranalise het ses komponente in die drie arbeidsproduktiwiteitskategorieë met eiewaardes bo 1 aan die lig gebring wat die optimalisering van arbeidsintensiewe produktiwiteit vir konstruksieprojekte in Ghana kan beïnvloed. Dit bestaan uit toerusting en gereedskap, materiaal en temperatuur. Die optimalisering van arbeidsintensiewe produktiwiteit in konstruksiewerke vereis die betrokkenheid van alle belanghebbendes, insluitend projekbestuurders, werkers, verskaffers en subkontrakteurs. Deur die ses komponente in die voorgestelde arbeidsproduktiwiteitsraamwerk te implementeer, kan konstruksieprojekte verhoogde produktiwiteit, kostebesparings en verbeterde uitkomste behaal. Die raamwerk kan beleidmakers in die konstruksiebedryf help om die bestaande nasionale beleid te hersien wat daarop gemik is om inheemse firmas te help om produktiwiteit in die konstruksiebedryf te verbeter.

Pain is present in the dental clinic, whether due to oral problems such as dental caries and its complications or related to dental procedures. Pain evaluation in patients with communication difficulties (PCDs) is challenging for dentists, potentially compromising treatment. The aim of this study was to develop and validate an instrument to assess the perception of dentists about pain in PCDs. This study followed a quantitative methodological approach involving constructing and validating an instrument administered to 50 dentists. The initial instrument consisted of 29 items divided into four domains. Content and construct validity and internal consistency were confirmed. Content validation was performed by judges using the Content Validity Index. The instrument underwent construct validation and internal consistency assessments through exploratory factor analysis and confirmatory factor analysis using Cronbach's α, Kaiser-Meyer-Olkin, and Bartlett's sphericity tests. The final instrument consisted of 21 items divided into three domains, with a high Cronbach's α for one domain and moderate values for the others. The total variance accounted for was above 46.03%. Each factor retained at least three items, with factor loadings greater than 0.3, commonalities greater than 0.2, and eigenvalues >1. Despite the study's limitations, the instrument demonstrated its applicability and potential in evaluating the perception and management of pain in PCDs. clinic procedures PCDs (PCDs treatment 5 2 domains confirmed Index Cronbachs Cronbach s KaiserMeyerOlkin, KaiserMeyerOlkin Kaiser Meyer Olkin, Olkin Kaiser-Meyer-Olkin Bartletts Bartlett tests others 4603 46 03 46.03% 0 3 0.3 02 0.2 1 >1 studys limitations 460 4 46.03 0. > 46.0 46.

BACKGROUND: The need for a culturally suitable scale for suicidality within the multilingual Nigerian society necessitated this research interest. AIM: The study is a development and validation of the Redeemer's University Suicidality Scale (RUSS). SETTING: South western Nigeria. METHODS: This comprised of initial generation of items; face and content validity, item refinement and administration of RUSS to 150 university undergraduates, using exploratory factor analysis at the first, second and third stages. In the fourth stage, 184 undergraduates responded to the 20-item RUSS, Suicide Ideation Scale (SIS) and General Health Questionnaire (GHQ-12). Data gathered at this stage were analysed for congruent validity, reliability and norms. RESULTS: The principal component analysis extracted four components from items whose eigenvalues exceeded one. Twenty-one of the 25 items loaded best in the first, two in the second and one on the third component(s). Only items in the first component were retained. Item-total correlation further showed that the values of one item in the first component fell below the very good discrimination and was deleted from the scale. The RUSS has a Cronbach's alpha of 0.93. Congruence validity coefficient of r = 0.881 (p < 0.001) and r = 0.605 (p < 0.001) was observed between RUSS and SIS and between RUSS and GHQ-12, respectively. CONCLUSION: The RUSS is gender-sensitive, has acceptable psychometric properties and is recommended as a diagnostic tool for assessing suicidal behaviour in adolescents and adults CONTRIBUTION: This article contributes to the development of a culture sensitive measure for suicidality.

Abstract In this work, the improved Hulthén plus Hellmann potentials model in the presence of temperature-dependent confined Coulomb potential IHHPTd model is adopted as the quark-antiquark interaction potential for studying the mass spectra of heavy mesons in the three-dimensional nonrelativistic quantum mechanics noncommutative phase space (3DNRQm-NCSP) symmetries. In addition, we found another application for this potential through its description for hydrogen atoms He+, Li+2 and Be+. We solved the deformed Schrödinger equation analytically using the generalized Bopp’s shift method and standard perturbation theory. The new energy eigenvalues E n c - n u , d h y and E n - g h l m, E n - m h l m and E n - l h l m for hydrogen atoms and heavy mesons such as charmonium c c - and bottomonium c b - and corresponding deformed Hamiltonian operators H h h p n c(r, Θ, θ -, λ, λ -, σ, σ -,𝜖) and H h h p n c(r, Θ, θ -, λ, λ -, σ, σ -, g s ) were obtained, respectively. The present results are applied for calculating the new mass of heavy mesons. Four special cases were considered when some of the improved potential parameters were set to zero, resulting into improved Hellmann potential, improved Yukawa potential, improved Coulomb potential, and improved Hulthén potential, in (3DNRQm-NCSP) symmetries. The limiting cases are analyzed for Θ, σ and χ → 0 are compared with those of literature.

Abstract Let λ1(A), λ2(A), ..., λn(A) be the eigenvalues of an n × n-matrix A taken with their algebraic multiplicities. We suggest new bounds for |λj (A) − trace(A)/ n | and |Im λj (A) − Im trace(A)/n | (j = 1, ..., n), which refine the previously published results.