bluuebunny/crossref_metadata_2025_split huggingface dataset:
Prime Representing Polynomial with 10 Unknowns – Introduction. Part II
Authors: Pąk Karol 
Published: February 2023

Summary
In our previous work [7] we prove that the set of prime numbers is diophantine using the 26-variable polynomial proposed in [4]. In this paper, we focus on the reduction of the number of variables to 10 and it is the smallest variables number known today [5], [10]. Using the Mizar [3], [2] system, we formalize the first step in this direction by proving Theorem 1 [5] formulated as follows: Let k ∈ ℕ. Then k is prime if and only if there exists f, i, j, m, u ∈ ℕ+, r, s, t ∈ ℕ unknowns such that

D
F
I

is

square

∧

(

M

2

-
1

)

S

2

+
1

is

square

∧

(

(

M
U

)

2

-
1

)

T

2

+
1

is

square
∧

(

4

f

2

-
1

)

(

r
-
m
S
T
U

)

2

+
4

u

2

S

2

T

2

<
8
f
u
S
T

(

r
-
m
S
T
U

)

F
L
|

(

H
-
C

)

Z
+
F

(

f
+
1

)

Q
+
F

(

k
+
1

)

(

(

W

2

-
1

)

S
u
-

W

2

u

2

+
1

)

\matrix{ {DFI\,is\,square\,\,\,{\Lambda}\,\left( {{M^2} - 1} \right){S^2} + 1\,\,is\,\,square\,\,{\Lambda}} \hfill \cr {\left( {{{\left( {MU} \right)}^2} - 1} \right){T^2} + 1\,\,is\,\,square{\Lambda}} \hfill \cr {\left( {4{f^2} - 1} \right){{\left( {r - mSTU} \right)}^2} + 4{u^2}{S^2}{T^2} < 8fuST\left( {r - mSTU} \right)} \hfill \cr {FL|\left( {H - C} \right)Z + F\left( {f + 1} \right)Q + F\left( {k + 1} \right)\left( {\left( {{W^2} - 1} \right)Su - {W^2}{u^2} + 1} \right)} \hfill \cr }

where auxiliary variables A − I, L, M, S − W, Q ∈ ℤ are simply abbreviations defined as follows W = 100fk(k + 1), U = 100u
3
W
3 + 1, M = 100mUW + 1, S = (M −1)s+k+1, T = (MU −1)t+W −k+1, Q = 2MW −W
2
−1, L = (k+1)Q, A = M(U +1), B = W +1, C = r +W +1, D = (A
2
−1)C
2 +1, E = 2iC
2
LD, F = (A
2
−1)E
2 +1, G = A+F (F −A), H = B+2(j −1)C, I = (G
2
−1)H
2 +1. It is easily see that (0.1) uses 8 unknowns explicitly along with five implicit one for each diophantine relationship: is square, inequality, and divisibility. Together with k this gives a total of 14 variables. This work has been partially presented in [8].
Existence and Uniqueness of Algebraic Closures
Authors: Schwarzweller Christoph 
Published: February 2023

Summary
This is the second part of a two-part article formalizing existence and uniqueness of algebraic closures, using the Mizar [2], [1] formalism. Our proof follows Artin’s classical one as presented by Lang in [3]. In the first part we proved that for a given field F there exists a field extension E such that every non-constant polynomial p ∈ F [X] has a root in E. Artin’s proof applies Kronecker’s construction to each polynomial p ∈ F [X]\F simultaneously. To do so we needed the polynomial ring F [X
1, X
2, ...] with infinitely many variables, one for each polynomal p ∈ F [X]\F. The desired field extension E then is F [X
1, X
2, …]\I, where I is a maximal ideal generated by all non-constant polynomials p ∈ F [X]. Note, that to show that I is maximal Zorn’s lemma has to be applied.
In this second part this construction is iterated giving an infinite sequence of fields, whose union establishes a field extension A of F, in which every non-constant polynomial p ∈ A[X] has a root. The field of algebraic elements of A then is an algebraic closure of F. To prove uniqueness of algebraic closures, e.g. that two algebraic closures of F are isomorphic over F, the technique of extending monomorphisms is applied: a monomorphism F → A, where A is an algebraic closure of F can be extended to a monomorphism E → A, where E is any algebraic extension of F. In case that E is algebraically closed this monomorphism is an isomorphism. Note that the existence of the extended monomorphism again relies on Zorn’s lemma.
Qualitative Study of the Practices Used in the Implementation of the Quality Management System Within Moroccan Companies
Authors: Fath Khadija , Haddouch Hajar , Bouksour Otmane , Beidouri Zitouni 
Published: February 2023

Abstract
The objective of this article is to show that project management practices present key success factors for implemented a Quality Management System (QMS) in Moroccan companies. In general, the organizations seem to look at the implementation of a quality management system as a project and they employ standard project management tools, albeit to a different extent and in different ways. Following a qualitative study in Morocco, the companies, whatever their sector of activity and size, use different practices in the framework of the project QMS. Information was collected from practicing managers. The data analysis shows that project management practices present a great opportunity for the successful implementation of QMS within Moroccan companies.
Social Capital and Digital Transformation of Startups in Vietnam During the Covid-19 Pandemic: The Mediating Role of Human Capital and Access to Resources
Authors: Nguyen Thi Thuy Quynh , Tran Nha Ghi , Nguyen Tan Trung 
Published: February 2023

Abstract
Based on social network theory, the study explained the digital transformation process of startups in Vietnam during the outbreak of the COVID-19 pandemic. The study examined the relationship between social capital, human capital, access to resources, and digital transformation of startups in Vietnam. The study used Partial Least Squares - Structural Equation Modelling (PLS-SEM) with a sample size of 230 startups managers. The results show that there are positive and statistically significant relationships between social capital, human capital, access to resources, and digital transformation. The results also reveal the partial mediating roles of access to resources and human capital in the relationship between social capital and digital transformation. The results proposed some managerial implications for startups managers in building relationship networks with stakeholders such as government agencies and business partners (customers, competitors, suppliers, and providers of digital platform services). Through managers' social capital, accessible resources and the improvement of human capital have accelerated digital transformation for startups to escape the crisis of the COVID-19 pandemic. Finally, the study presented some limitations and directions for further research.
Technical Study of the Installation of a Watercress Nectar Processor to Reduce Anemia in Adults
Authors: Manrique-Suarez Luis-Alberto , Ochoa-Sotomayor Nancy-Alejandra , Salazar-Robles Héctor-Gavino , Masías Edward José Flores 
Published: February 2023

Abstract
Peru has a diversity of exotic fruits and plants with recognized yields for food and health protection. Nectars are highly consumed food products, made from fruits or vegetables. The objective for the present work was to carry out the technical study of the installation of a watercress nectar processor to reduce anemia in adults; identify the demand, technical requirements for the operation and profitability of the processing facilities. Methodology. The analytical-synthetic method was used; The population of the target market was analyzed, the size of the sample was determined with the coefficient of variation method, (n = 384), the instrument used was the survey; the technical, economic-financial study was carried out. The results were the growth in the demand for nectars of 59.82%, with respect to the economic-financial evaluation, it has been shown that the results are satisfactory for the installation of the plant, with the economic and financial IRR, both rates proving to be attractive. for the project. From the projected income statement for the 2021-2025 period, it can be deduced that for 2025 there was a net profit of S/316,971.39. Other indicators such as the economic and financial NPV, the B/C ratio and the PRI that were satisfactory for the Project, making its execution viable. The conclusion this study was the technical study for the installation of a nectar processing plant to reduce anemia in adults in Lima, which was viable in terms of operation and profitability, taking advantage of its healing and nutritional properties.
Technology of Obtaining Mixed Alternative Fuel Based on Organic Substances for Mining Technological Transport Engines
Authors: Melnyk Vasyl , Romanyshyn Liubomyr , Mosora Yurii , Kotwica Krzysztof 
Published: February 2023

Abstract
In connection with the increase in the price of fuel based on hydrocarbons, the search and use of alternative types of fuel for machines in the mining and oil production industry is quite relevant today. Most of the existing alternative fuels by themselves cannot be considered as ready-to-use motor fuels. One of the ways to solve this problem is to use their mixtures with commercial fuels in certain ratios. This work deals with the development and research of the main characteristics of the mixer for obtaining mixed fuels based on diesel fuel and soybean oil, as well as the results of the study of the physical and operational properties of the obtained mixtures of different volume ratios of diesel fuel and soybean oil. The process of obtaining a mixed alternative fuel based on diesel fuel and soybean oil was implemented on a developed installation consisting of a mixer, the design of which is protected by a patent of Ukraine, and a gear pump. The study of the characteristics of the mixer as part of the installation showed that at a temperature of the components of the alternative fuel of 20°С, with a loss of full pressure on the mixer Δр ≈ (60-65) kPa, the volume consumption of soybean oil reached 10.7.10-6 m3/s. The time of preparation of the fuel mixture in the amount of 195 liters with a content of soybean oil of 10% ranged from 30 to 33 minutes. As research has shown, mixing soybean oil with diesel fuel in the amount of 5-50% vol. provides an improvement in viscosity-temperature properties and makes it possible to use such mixtures in diesel engines without changes in the design of the power supply system and regulation of fuel equipment, which characterizes soybean oil as a promising additive to diesel fuels to improve their technical and operational performance.
Fatigue Life Testing of the Round Link Mining Chains
Authors: Kandzia Ryszard , Szot Mariusz 
Published: February 2023

Abstract
The material fatigue phenomenon consists of progressive material damage through the appearance and development of fractures under the influence of variable, periodically recurring stresses. Engineers designing machinery and structures to be fatigue resistant can gain useful insights about design and material properties by reviewing the literature. In this way, we can avoid costly research, but in the case of complex loading phenomena and the interaction of components, we must carry out such research. Fatigue strength calculations are less accurate than simple static calculations. The wear of link chains is concentrated in three areas, depending on the installation location and function of the individual links, namely: in the joints (the points of contact between two links), on the outer surfaces of the arches and on the outer surfaces of the straight sections of the links. During operation, chains are particularly vulnerable to wear through abrasion, corrosion and fatigue. These ageing factors, which act with varying intensity depending on the properties of the deposit, determine the service life of the chain, unless other unforeseen damage occurs, e.g. "hard" blockage of the chain. In many cases, users are guided by their own subjective criteria for assessing the technical condition of chains, which does not always lead to fully rational decisions regarding the continued use of used chains. To date, there have been no attempts to transfer the results of chain fatigue tests to behaviour of real objects. This paper presents issues related to mining chain fatigue testing. The test results presented are for both new and used chains. The experimental tests conducted at GIG made it possible to solve the problem of applying fatigue test results in industrial practice.
Physical Activity and Selected Psychological Constructs of Intercultural Students in the Field of Physical Education During the Covid-19 Pandemic
Authors: Samełko Aleksandra , Woycikiewicz Marta de Białynia , Kenioua Mouloud 
Published: February 2023

Abstract
The purpose of the study was to compare anxiety, depression, self-efficacy and mood between students at the Faculty of Physical Education in Poland and Algeria during the Third Wave of the COVID-19 Pandemic, as well as to compare the intensity and quantity physical activity. It was also important to examine relationships between self-efficacy and other psychological variables, and self-efficacy and physical activity in the two groups. The following questionnaires were used to assess psychological constructs, self-efficacy and physical activity level: Mood State Profile (POMS), depression (Beck Depression Inventory), anxiety states (STAI), self-efficacy (GSES), a physical activity questionnaire. The research results show that there where statistically significant differences between Polish and Algerian students in anxiety and mood state. There were also statistically significant differences between the groups in the intensity and quantity physical activity. Based on the results of students’ self-efficacy in relation to states of mood, it turned out that anger and vigour are a significant predictor of a sense of self-efficacy of Algerian student, but among polish students only vigour is a significant predictor of a sense of self-efficacy. The comparative study showed statistically significant differences in each of the mood scales. In data on physical activity during the pandemic, all variables showed statistical significance, but physical activity did not turn out to be a significant predictor of psychological variables in the study. It can be assumed that undertaking increased physical activity is a kind of preventive measure in reducing mood disorders and relieving depressive episodes.
Exploring Perceived Learning Among Students of Sports Sciences in Distance Education
Authors: Savaş Buğra Çağatay , Turan Murat 
Published: February 2023

Abstract
The present study aimed to explore the impacts of e-learning, e-learning attitude in sports, and e-learning satisfaction on perceived learning among students of sports sciences. A total of 371 (108 females, 263 males) undergraduate students of sports sciences participated in this correlational study. The data were collected through a demographic information form, the Online Learning Attitude Scale, the Online Learning Attitude Scale-Sports, the Distance Education Satisfaction Survey, and the Perceived Learning Scale. The data were analyzed using descriptive statistics, SEM, Pearson’s correlation test, and multiple regression analysis. The findings revealed that e-learning attitudes and e-learning satisfaction among the participants had significant effects on their perceived learning (p < .05), while their e-learning attitudes in sports did not yield a significant impact on their perceived learning (p > .05). Accordingly, it may be claimed that as students’ e-learning attitudes and e-learning satisfaction increase, their perceived learning levels also increase. In addition to this, the students did not have a positive attitude toward learning applied courses online; therefore, undergraduate applied courses in sports sciences are better conducted face-to-face.
Synthesis of nanoscale zero-valent iron doped carbonized zeolitic imidazolate framework-8 for methylene blue removal in water
Authors: Chen Shuai , Qiao Lemeng , Feng Xuejiao , Huang Yufu , Gao Guilan , Guan Jie , Lin Donghai 
Published: February 2023

Abstract
Nanoscale zero-valent iron-doped carbonized zeolitic imidazolate framework-8 (nZVI/CZIF-8) was prepared by carbonation of ferric nitrate and ZIF-8 at 800 °C and used as an adsorbent to remove methylene blue (MB) from water. The synthesized nZVI/CZIF-8 has a specific surface area of 806.9 m2/g, a pore volume of 0.86 cm3/g and an nZVI content of 1.35%, respectively. Both the nZVI/CZIF-8 and CZIF-8 have identical functional groups of O-H, C-H and C=C. With the increase of CZIF-8 size, MB removal rate increased. The doping of nZVI increased the MB removal percentage from 74.5% for ZIF-8 to 96.2% within 80 min for nZVI/CZIF-8. The MB removal percentage increased with the dosage of nZVI/CZIF-8. The MB adsorption with the adsorbents conforms to the Freundlich adsorption isothermal model and the removal rate fitted well to a pseudo-first-order model. The results demonstrate the feasibility of synthesizing high active and stable nZVI/CZIF-8 particles.
The platelet to lymphocyte ratio in heart failure: a comprehensive review
Authors: Delcea Caterina , Buzea Cătălin Adrian , Vîjan Ancuța Elena , Bădilă Elisabeta , Dan Gheorghe-Andrei 
Published: February 2023

Abstract

Introduction: At the crossroads of heart failure (HF) and systemic inflammation, platelets and lymphocytes are both influenced as well as actively participating in the bidirectional relationship. The platelet to lymphocyte ratio (PLR) could therefore be a marker of severity. This review aimed to assess the role of PLR in HF.

Methods: We searched the PubMed (MEDLINE) database using the keywords “platelet”, “thrombocyte”, “lymphocyte”, “heart failure”, “cardiomyopathy”, “implantable cardioverter defibrillator”, “cardiac resynchronization therapy” and “heart transplant”.

Results: We identified 320 records. 21 studies were included in this review, with a total of 17,060 patients. PLR was associated with age, HF severity, and comorbidity burden.
Most studies reported the predictive power for all-cause mortality.
Higher PLR was associated with in-hospital and short-term mortality in univariable analysis, however, it was not consistently an independent predictor for this outcome. PLR > 272.9 associated an adjusted HR of 3.22 (95%CI 1.56 – 5.68, p<0.001) for 30-day fatality.
During long-term follow-up from 6 months to 5 years, PLR was an independent predictor of mortality in most studies, with cut-off values ranging from > 150 to > 194.97 and adjusted HR from 1.47 (95%CI 1.06 – 2.03, p=0.019) to 5.65 (95%CI 2.47–12.96, p<0.001).
PLR > 173.09 had an adjusted OR 2.89 (95%CI 1.17–7.09, p=0.021) for predicting response to cardiac resynchronization therapy. PLR was not associated with outcomes after cardiac transplant or implantable cardioverter-defibrillator.

Conclusion: Increased PLR could be an auxiliary biomarker of severity and survival prognosis in HF patients.
Wildervanck syndrome: Case report
Authors: Radulescu Luminita , Martu Alexandra , Astefanei Oana , Cozma Sebastian , Martu Cristian 
Published: February 2023

Abstract

BACKGROUND. Wildervanck syndrome was described for the first time in 1952. This rare entity is composed by the oculo-cervico-acoustic triad, which may be more or less complete.

MATERIAL AND METHODS. We present a 5-year-old girl diagnosed with Wildervanck syndrome, exhibiting: Klippel-Feil anomaly (fused cervical vertebrae), Duane Stilling Turk syndrome (bilateral abducens palsy) and congenital bilateral cophosis indicated by ABR.

RESULTS. The CT scan revealed major malformations of the brain and calvarium including the petrous part of both temporal bones. Despite all these brain malformations, the psychological development of the child was nearly normal. As it was previously reported in other cases, the child also presented spina bifida cervicalis and cleft palate. The cause of deafness was bilateral lack of cochleae, making impossible the insertion of the cochlear electrode for hearing rehabilitation. When the patients are discovered late (after 3 years of age), the management of hearing loss is by being taught sign language and lip reading.

CONCLUSION. Any cranio-facial malformation and any delay in speech production impose early attention of the otorhinolaryngologist or audiologist for timely diagnosis and rehabilitation of hearing loss. The imaging examination, especially the high-resolution temporal bone CT-scan, is of paramount importance to be performed in all profound congenital deaf children to evaluate the candidacy to cochlear implantation.
FAKTOR-FAKTOR PEMBENTUK PURCHASE INTENTION PRODUK OTOMOTIF "X"
Authors: Darren Christofen Michael , Tunjungsari Hetty Karunia 
Published: February 2023

Produk otomotif merupakan salah satu produk yang mengalami dampak pada masa pandemi COVID-19. Penurunan produktivitas penjualan produk otomotif di Indonesia bahkan telah mendorong pemerintah untuk menetapkan kebijakan khusus terkait pajak pembelian kendaraan bermotor baru di Indonesia. Terlepas dari situasi pandemi, pada dasarnya pemasar produk otomotif tetap perlu mengetahui faktor-faktor yang mendorong pembelian produknya. Tujuan penelitian ini adalah untuk menguji faktor-faktor yang diduga membentuk purchase intention produk otomotif, meliputi brand experience, brand image, brand trust dan brand attachment. Sampel penelitian ini terdiri dari konsumen otomotif merek X yang berada di wilayah Jakarta. Terdapat sebanyak 200 responden yang berpartisipasi dalam survey online yang disebarkan melalui google form. Data yang diperoleh kemudian diolah dengan menggunakan software SMARTPLS3. Hasil penelitian menunjukkan bahwa terdapat pengaruh yang signifikan secara statistik dari brand experience, brand image, brand trust, dan brand attachment pada purchase intention produk otomotif X. Implikasi hasil penelitian secara teoretis dapat memperluas pengetahuan terkait intensi pembelian produk otomotif. Secara praktis, hasil penelitian dapat menjadi masukan bagi produsen produk otomotif dalam menyusun strategi untuk dapat meningkatkan intensi pembelian konsumen.

Automotive products are one of the products that have experienced an impact during the COVID-19 pandemic. The decline in sales productivity of automotive products in Indonesia has even prompted the government to establish a special policy regarding the tax on the purchase of new motor vehicles in Indonesia. Apart from the pandemic situation, basically, automotive product marketers still need to know the factors that encourage the purchase of their products. The purpose of this study is to examine the factors that are thought to shape the purchase intention of automotive products, including brand experience, brand image, brand trust and brand attachment. The sample of this study consisted of automotive consumers with the X brand in the Jakarta area. There were as many as 200 respondents who participated in an online survey distributed via google form. The data obtained was then processed using SMARTPLS3 software. The results showed that there was a statistically significant effect of brand experience, brand image, brand trust and brand attachment on purchase intentions of X automotive products. The theoretical implications of the research results can expand knowledge related to factors affecting purchase intentions of automotive products. Practically, the research results can give suggestions for automotive product manufacturers in formulating strategies to escalate consumers' purchase intentions.