Special Identity Research Articles

Hyperbolic (s,t)-Fibonacci and (s,t)-Lucas Quaternions

In this study, we define hyperbolic (s,t)-Fibonacci and (s,t)-Lucas quaternions. For these hyperbolic quaternions, we give the special summation formulas, special generating functions, etc. Also, we calculate the special identities of these hyperbolic quaternions. In addition, we obtain the Binet formulas in two different ways. The first is in the known classical way and the second is with the help of the sequence's generating functions. Moreover, we examine the relationships between the hyperbolic (s,t)-Fibonacci and (s,t)-Lucas quaternions. Finally, the terms of the (s,t)-Fibonacci and (s,t)-Lucas sequences are associated with their hyperbolic quaternion values.

Loss of β-cell identity and dedifferentiation, not an irreversible process?

Type 2 diabetes (T2D) is a polygenic metabolic disorder characterized by insulin resistance in peripheral tissues and impaired insulin secretion by the pancreas. While the decline in insulin production and secretion was previously attributed to apoptosis of insulin-producing β-cells, recent studies indicate that β-cell apoptosis rates are relatively low in diabetes. Instead, β-cells primarily undergo dedifferentiation, a process where they lose their specialized identity and transition into non-functional endocrine progenitor-like cells, ultimately leading to β-cell failure. The underlying mechanisms driving β-cell dedifferentiation remain elusive due to the intricate interplay of genetic factors and cellular stress. Understanding these mechanisms holds the potential to inform innovative therapeutic approaches aimed at reversing β-cell dedifferentiation in T2D. This review explores the proposed drivers of β-cell dedifferentiation leading to β-cell failure, and discusses current interventions capable of reversing this process, thus restoring β-cell identity and function.

On Generalized Fibospinomials: Generalized Fibonacci Polynomial Spinors

Spinors are important objects in physics, which have found their place more and more after the discovery that particles have an intrinsic angular momentum shape and Cartan’s mathematical expression of this situation. Recent studies using special number sequences have also revealed a new approach to the use of spinors in mathematics and have provided a different perspective for spinor research that can be used as a source for future physics studies. The purpose of this work is to expand the generalized Fibonacci quaternion polynomials to the generalized Fibonacci polynomial spinors by associating spinors with quaternions, and to introduce and investigate a new polynomial sequence that can be used to benefit from the potential advantages of spinors in physical applications, and thus, to provide mathematical arguments, such as new polynomials, for studies using spinors and quaternions in quantum mechanics. Starting from this point of view, in this paper we introduce and investigate a new family of sequences called generalized Fibospinomials (or generalized Fibonacci polynomial spinors or Horadam polynomial spinors). Being particular cases, we use (r,s)-Fibonacci and (r,s)-Lucas polynomial spinors. We present Binet’s formulas, generating functions and the summation formulas for these polynomials. In addition, we obtain some special identities of these new sequences and matrices related to these polynomials. The importance of this study is that generalized Fibospinomials are currently the most generalized sequence in the literature when moving from Fibonacci quaternions to spinor structure, and that a wide variety of new spinor sequences can be obtained from this particular polynomial sequence.

On simulating Turing machines with matrix semigroups with integrality tests

We present a construction to simulate Turing machines with 3×3 matrices over rationals. The correctness of simulation is guaranteed by testing that the matrices have integral elements during the simulation. This construction implies an undecidability result for a special identity problem for semigroups of 3×3-matrices.

The role of the Kazakh intelligentsia in the reconstruction of conventional society

Relevance. The relevance of the research lies in the fact that at this stage, post-Soviet Kazakhstan often refers to the beginning of the 20th century, when the intelligentsia fought for independence, modernisation of the consciousness of conventional society so the study of this experience will allow answering many challenges of the current time. Purpose. The purpose of the study is to identify the role of the intelligentsia in the transformation and modernisation of society at the beginning of the 20th century. The paper is devoted to the study of how the Kazakh intelligentsia managed to introduce new elements into the conventional society and form a special identity of the Kazakhs. Methodology. The leading approach is the historical approach, which allows considering the specific features of the political context within the framework of the existence of the Russian Empire. The main methods are the method of analysis, comparative, problem method, which allows identifying the features of the development of the intelligentsia in this period. Results. The paper examines the specific features of the development of the Kazakh intelligentsia, the problem of choosing a direction, analyses changes in the political, economic, educational, cultural spheres. The influence of the popular trend of Jadidism in Central Asia on the views of the intelligentsia is highlighted. The study delved into the multifaceted evolution of the intelligentsia and its profound impact on reshaping conventional society. The research yielded valuable insights into the profound impact of the intelligentsia on societal modernization and consciousness. Conclusions. The Kazakh intelligentsia played a crucial role in preserving the Kazakh nation, preventing complete assimilation by colonial authorities despite numerous decrees and repressive actions aimed at suppressing dissent. The Kazakh intelligentsia succeeded not only in preserving and advancing the concept of Kazakh identity but also in influencing many societal spheres. Keywords: development of the Kazakh intelligentsia; development of public education; Jadidism; pre-revolutionary period; modernisation

Some generalizations of the variety of transposed Poisson algebras

It is shown that the variety of transposed Poisson algebras coincides with the variety of Gelfand-Dorfman algebras in which the Novikov multiplication is commutative. The Gr\"obner-Shirshov basis for the transposed Poisson operad is calculated up to degree 4. Furthermore, we demonstrate that every transposed Poisson algebra is F-manifold. We verify that the special identities of GD-algebras hold in transposed Poisson algebras. Finally, we propose a conjecture stating that every transposed Poisson algebra is special, i.e., can be embedded into a differential Poisson algebra.

Two-dimensional (p,q)-heat polynomials of Gould–Hopper type

We introduce a new class of holomorphic polynomials extending the classical Gould–Hopper to two complex variables. The considered polynomials include the 1-D and 2-D holomorphic and polyanalytic Itô–Hermite polynomials as particular cases. We emphasize studying their operational representation, various generating functions, and recurrence relations. We also establish some special identities including multiplication, Runge addition and Nielson types formulas. Higher-order partial differential equations are analyzed and the connection to Gould-Hopper polynomials and hypergeometric functions are investigated.

Problematika Peningkatan Keterampilan Muhadatsah di Pesantren Putri Miftahul Ulum Suren

Education plays an important role in efforts to improve human quality, both social, spiritual and intellectual. Apart from that, education is not only burdened with the task of making the nation's life more intelligent, but it is also burdened with the task of fostering the nation's morals, namely upholding human values, all of which will be realized if it is based on religious beliefs. Meanwhile, religious belief will only be obtained with a deep understanding of the basics of religion itself. Judging from its function, language is a means of communication and liaison in everyday human interactions, both between individuals and individuals, individuals and society and society and certain nations. Likewise in Arabic, which has a special function compared to other languages. Not only does Arabic have high quality literature for those who know and understand it, but Arabic is also destined to be the language of the Koran, namely communicating the words of Allah (Yusuf, 1997: 187). Arabic language teaching has been implemented in formal and non-formal institutions, where the teaching is almost the same as the language as a whole. In fact, Arabic has become a special identity and characteristic of Islamic educational institutions, especially Islamic boarding schools, which differentiates them from other institutions. This is an important reason to research. Likewise with the existence of the Miftahul Ulum Suren Jember Islamic Boarding School whose vision and mission refer to the vision and mission of the Islamic boarding school. The Vision and Mission, among other things, seeks to develop students to become Muslims so that they become Muslims who are ready for life. For operationalization to achieve the output expected by the vision and mission, there needs to be a program realization at the girls' Islamic boarding school that must support it. One of the programs of the women's Islamic boarding school is the development of improving muhadatsah skills. From this program it is hoped that students will be able to speak Arabic actively. Because basically female students are able to perform muhadatsah optimally. The aim to be achieved in this research is to find out and describe the problems of improving muhadatsah skills at the Miftahul Ulum Suren Jember Islamic boarding school both in terms of implementation and evaluation. The research method used in this research is approach, determining research subjects, data collection methods (observation, interviews and data analysis.

Adopting French Names as Identity Markers among Second Foreign Language (L3) Learners in China

Using foreign names has become common practice for Chinese students who are learning a foreign language to develop a special identity in multilingual contexts. French is one of the most studied foreign languages in China. Nevertheless, little attention has been paid to the practices learners follow when adopting French names as their identity markers. The current study addresses this gap by investigating twenty-nine French names adopted by Chinese university students who are learning French as the second foreign language (L3) in a Chinese university. Drawing on data collected through interviews, the motivations, and features behind the respondents’ name choices were examined. The qualitative and quantitative analyses show that the practice of adopting French names for these L3 students was primarily motivated by phonetic features and the study participants’ positive associations. The L3 learners deliberately selected a French name to create a multilingual and multicultural identity for themselves. The pedagogical implications regarding teachers’ development of cultural instruction materials as well as teachers’ potential influence on French language instruction overall are also discussed.

Enhancing Visual Arts and Design in Ibogun Campus, Ogun State Amidst Multi-faceted Challenges

This is a discourse on approaches to enhancing visual arts and design on the Ibogun campus of Olabisi Onabanjo University, Ago-Iwoye, Ogun State. The Fine and Applied Arts (FAA) discipline is created for the production of graduates that will be technologically and creatively strengthened to solve industrial and societal problems. This cannot be attained when an institution is faced with multi-faceted challenges linked primarily to a lack of infrastructure caused by poor funding. The main problem is that the FAA Department at Ibogun Campus lacks digital art labs and standard studios to teach the course. Experiential and humanistic learning theories were chosen as the theoretical frameworks that back up this research work. The study aims to identify trends in visual arts and design within the context of Nigerian education with a view to determining solutions to problems facing Fine and Applied Arts as a course and department. By design, this is a qualitative study; thus, the library research method was employed together with observation and unstructured interviews for data gathering. On this premise, reasonable recommendations were put forward. However, while the study acknowledges the efforts of the university management, it uncovered that infrastructural problems are not only affecting FAA and Ibogun campuses; the Ibogun community as a whole is also feeling the hitch. FAA Department was created almost two decades ago but still lacks a brand name, unlike other Nigerian tertiary institutions with special (name) identities for their art schools. Consequently, the study, among other suggestions, recommended that the FAA Departments Ibogun campus be branded as ‘OOU Ibogun Art School, while government intervention through adequate funding is advised. The department also needs to concentrate more on creative technological innovations since this is the era of artificial intelligence.

Vajda’s Identities for Dual Fibonacci and Dual Lucas Sedenions

Fibonacci and Lucas numbers have been the most popular integer sequences since they were defined. These integer sequences have many uses, from nature to computer science, from art to financial analysis. Many researchers have worked on this subject. Sedenions form a 16-dimensional algebra on the field of real numbers. Various systems can be constructed by using the terms of special integer sequences instead of terms in sedenions. In this study, we define dual Fibonacci (DFS) and dual Lucas sedenions (DLS) with the help of Fibonacci and Lucas termed sedenions. Then we calculate some special identities for DFS and DLS such as Vajda's, Catalan's, d'Ocagne's, Cassini's.

ANALYSIS AND INITIATION OF EFFORTS TO EXTERMINATE ILLEGAL INDONESIAN MIGRANT WORKERS SYNDICATE THROUGH COLLABORATION OF THE INDONESIAN MIGRANT WORKERS PROTECTION AGENCY AND THE DIRECTORATE GENERAL OF IMMIGRATION

The Indonesian Migrant Worker Protection Agency (BP2MI) has made efforts to combat illegal placement of PMIs through outreach and regulatory adjustments. The number of PMI placements continued to increase, with 25,973 placements in May 2023 compared to 11,022 in May 2022 and 6,264 in May 2021. The majority of PMI placements in May 2023 were in the formal sector (55%) compared to the informal sector (45%). Efforts to impose sanctions BP2MI head of BP2MI has proposed firm action against illegal PMI placement syndicates, including cooperation with the immigration agency and the use of a special identity in PMI passports. Further research is needed to analyze and initiate efforts to eradicate illegal PMI syndicates through a review of the role of immigration, in order to address the challenges faced by PMI and the role of immigration authorities in combating illegal placements.

On the construction of stable periodic solutions for the dynamical motion of AC machines

<abstract><p>This article discusses the stability of periodic responses for the dynamical motion of AC machines from the perspective of Lyapunov function approach. The dynamical motion of AC machines is prototypically modeled as an equivalent linear RLC series circuit with time-variant inductance represented by a linear differential equation with periodic coefficients. Based on the deduced stability conditions, some special identities among the equivalent circuit parameters to ensure the stability of responses and their periodic structures are concluded. Through these conditions, the periodic structure of responses is obtained by using the method of strained parameters. Through a comparison with the experimental results from the specialized practical literatures, a strong agreement with the obtained analytical results is achieved. In addition, from a practical point of views, some future points within the discussion are raised to improve the mathematical modeling of AC machines to obtain a better model and simulation.</p></abstract>

Wonderful Indonesia Campaign As Indonesia’s Nation Branding On Digital Media

Social media’s influence on purchasing decisions is on the radar of a multitude of industries worldwide and the tourism industry is no exception. Social media today is become a tool for countries in the world to promote tourism in their countries. Nation branding is a method for countries to differentiate and distinguish themselves from other countries around the world through branding. This phenomenon allowing countries to compete with each other to attract tourist from all over the world. Thus, every country needs special identity and uniqueness that differ a country from another. Indonesia is one of many countries that have been started a nation branding campaign that called ‘Wonderful Indonesia’ in 2011. Head of Ministry of Tourism of Republic Indonesia Arief Yahya stated that, in 2020 Indonesia have targeted 20 million of foreign tourists to come to Indonesia with a projected foreign exchange earnings of 18.5 billion USD (kemenpar.go.id). This study found that Wonderful Indonesia Campaign has been communicated through digital media (Website, Facebook, Instagram, Twitter, and YouTube). This study describes the channels that were utilized to promote the campaign and gives inputs to optimize the technical and content used in the campaign media.

Code Mixing Used by Returned Migrant Workers in Their Social Media Posts

This paper delves into the rationales as to why Indonesian migrant workers (mainly those who own private Korean language courses) like to use code mixing. They tend to add or insert Korean language either in Hangeul or its transliterated versions onto their social media posts, Facebook in particular. The fact that they are basically returned migrant workers with no formal background of Korean language education and the fact that they do this code (language) mixing so often has motivated the researcher to explore this phenomenon further. Online data gathering and online interviews with 4 respondents were conducted and 33 tokens of code-mixing and code switching were collected. This research attempts to reveal whether they want to show their particular identity as returned migrant workers who are different from the rest or they are simply a marketing gimmick for their business. The goal of the research is to determine the relationship between the use of the Korean language and the identities these returned migrant workers from Korea opt to project, the options being: identity as a returned migrant worker, identity as an owner of LPK (Korean Language Training Center), or other identities that can be revealed through this research. The research indicates that despite the fact that there are equivalent words or phrases in Indonesian, they do code mixing to emphasize that Korean words are sometimes more appropriate in certain contexts to express something they feel or think. Second, they do code-mixing to show their closeness to Korea and their breadth of knowledge about Korea. Third, they do code mixing as a way to show their academic background. Hence, a special identity to perpetuate an image of themselves as a returned migrant worker who is now an entrepreneur managing Korean language institutions as well as being a teacher.

Humor and identity in the performance of a stand-up comedian with disability

Being a stand-up comedian with medical issue requires the ability to apply certain techniques to create humor when performing stand-up comedy. Josh Blue (JB) is one of those well-known stand-up comedians diagnosed with cerebral palsy. This study aims to investigate the linguistics aspects applied by JB in delivering his jokes and how these aspects relate to identity JB wants to present. This research employed a qualitative descriptive method to analyze the data. The results reveal that JB uses irony in his stand-up comedy. In terms of linguistic features, JB mostly applies silent pause, while in joke technique JB applies self-ridicule. These findings suggest that the linguistics aspects used by JB present that disability can be a special identity that affects people’s perception and their ways of interaction with other people. JB linked each of his experience of being disabled by wrapping it well as his joke technique. JB has privilege in processing his disability into a primacy in joke technique without sounding condescending and even sarcastic.

“Generating matrix for Generalized Fibonacci numbers and Fibonacci polynomials

Many researchers have been working on recurrence relation sequences of numbers and polynomials which are useful topic not only in mathematics but also in physics, economics and various applications in many other fields. There are many useful identities on recurrence relation sequence but there main problem to find any term of recurrence relation sequence we need to find previous all terms of recurrence relation sequence of numbers and polynomials. There were many important theorems obtained on recurrence relation sequences. In this paper we have given special identity for generalized Fibonacci sequence of number and Fibonacci sequence of polynomials. These identities are very useful to represent Fibonacci generalized sequence of numbers and Fibonacci sequence of polynomials in the form of matrix. Authors define a special formula in this paper by this we can find special representation of Fibonacci generalized sequence of numbers and Fibonacci sequence of polynomials in the form of matrix. So, we can say that this paper is generalization of property of Fibonacci sequence of number and Fibonacci sequence of polynomials

MEMBANGUN BRAND IMAGE SEBAGAI PENGELUARAN PRODUKTIF UNTUK BISNIS BERKELANJUTAN INDUSTRI KREATIF DI KOTA MALANG

Empowering the creative industry is one of the strategies of the Indonesian Ministry of Trade as an effort to strengthen the national economy. The creative industry, which is dominated by small and medium enterprises, is an industrial sector that is more resistant to various economic crises. As evidenced by various economic crises and the last one being the economic crisis due to the Covid-19 pandemic, the creative industry as part of small and medium enterprises has become an industry that is quick to adjust to the existing situation compared to large-scale industries. In general, the creative industry sector also has a significant economic contribution to the Indonesian economy which can create a positive business climate, strengthen the image and identity of the Indonesian nation. One of the efforts to increase product competitiveness is through brand image. Building a brand image cannot be done instantly, it is necessary to sacrifice resources so that the product has a special identity that will maintain the competitiveness of the product. Through case study qualitative research methods, this research aims to build a brand image in the creative economy industry as a form of investment that can maintain business continuity. The creative industry needs to position the brand as a valuable asset that can provide benefits in the future. Through in-depth interviews with creative industry players, the factors needed to build a brand image in helping business continuity in terms of increasing company sales are obtained. This research is expected to provide practical benefits for creative industry players by building their brand image so that they are able to compete and survive in business competition with large industrial products that already have brands

Contribution to the General History of School Health Service in Albania (From Origins to Nowadays)

We are all witnesses of the great traces left by the school health service in Albania, especially after the Second World War, in the protection of the health of preschool and school age, we are witnesses, when the bodies and personalities of health and education defined the role of health care in kindergartens and schools. The purpose of this study is to highlight the common features and characteristics of the health service in preschool and school institutions with a special identity, in order to care for the physical and mental health of children and students, hygienic care and disease prevention. infectious infections, as well as health education in the learning process. Methodology: study of source materials, such as newspapers, magazines and monographs; A comparison has been made between the school health service in Albania and those of western countries during the years, in order to derive their common features and goals. Procedure: analysing in detail some aspects of identity of school service or of any contemporary feature of our country or western countries, we will see that: the historical development of the school health service in Albania, compared to those of western countries; Albanian government policies to protect the health of children and students; organization of health service in kindergartens and schools of towns and villages; regulations of the school health service which determined the character of this service, the prophylactic and medical one according to the recommendations of the World Health Organization (WHO) to ensure the development of physical and psychomotor norms of children and students, etc ; indicators of the improvement of the hygienic-sanitary conditions of preschool and school institutions after 1990; etc.
 
 Received: 4 January 2022 / Accepted: 24 February 2022 / Published: 20 March 2022

On the Special Identities of Gelfand–Dorfman Algebras

A Gelfand–Dorfman algebra (GD-algebra) is said to be special if it can be embedded into a differential Poisson algebra. In this paper, we prove that the class of all special GD-algebras is closed with respect to homomorphisms and thus forms a variety. We describe a technique for finding potentially all special identities of GD-algebras and derive two known special identities of degree 4 in this way. By computing the Gröbner basis for the corresponding shuffle operad, we show that these two identities imply all special ones up to degree 5.