bluuebunny/crossref_metadata_2025 huggingface dataset:
First 2024 GaBI Journal issue highlights
Authors: Thorpe Robin
Published: August 2024

It was with great pleasure that I assumed the role of Editor-in-Chief (EiC) of GaBI Journal in January of this year. Taking over the helm from Professor Philip D Walson is a considerable challenge; Phil’s excellent, thorough example will be very difficult to follow. My experience is restricted largely to biosimilars with which I have been involved since their concept and I will be relying on able colleagues for their expertise with generics! I hope to be able to carry out the important job of EiC effectively and efficiently.
On a Zaremba’s Conjecture for Powers
Authors: Komatsu Takao
Published: August 2024

A conjecture of Zaremba says that for every $m\ge 2$ there exists a reduced fraction $a/m$ such that its simple continued fraction has all its partial quotients bounded by $5$. This conjecture is proved with all partial quotients bounded by $3$ for $m$ being ${c\cdot 2^n}$-th power of $7$ where $n\ge 0$ and $c=1,3,5,7,9,11$. A more general case is considered.
 
2000 Mathematics Subject Classification. 11A55
Two Exponential Formulas for $\alpha$-Times Integrated Semigroups $\boldsymbol{(\alpha} \boldsymbol{\in} \boldsymbol{\mathbb{R}^ + )}$
Authors: Vajzović Fikret , Vugdalić Ramiz
Published: August 2024

In this paper $X$ is a Banach space, $\left( {S(t)}\right) _{t\geq 0}$ is non-dege\-ne\-ra\-te $\alpha -$times integrated, exponentially bounded semigroup on $X$ $(\alpha \in \mathbb{R}^{+}),$ $M\geq 0$ and $\omega _{0}\in \mathbb{R}$ are constants such that $\left\| {S(t)}\right\| \leqslant Me^{\omega _{0}t}$ for all $t\geq 0,$ $\gamma $ is any positive constant greater than $\omega _{0},$ $\Gamma $ is the Gamma-function, $(C,\beta )-\lim $ is the Ces\`{a}ro-$\beta $ limit. Here we prove that\begin{equation*}\mathop {\lim }\limits_{n\rightarrow \infty }\frac{1}{{\Gamma(\alpha )}} \int\limits_{0}^{T}{(T-s)^{\alpha -1}\left({\frac{{n+1}}{s}}\right) ^{n+1}R^{n+1}\left({\frac{{n+1}}{s},A}\right) x\,ds=S(T)x,}\end{equation*}for every $x\in X,$ and the limit is uniform in $T>0$ on any bounded interval. Also we prove that\begin{equation*}S(t)x=\frac{1}{{2\pi i}}(C,\beta )-\mathop {\lim }\limits_{\omega\rightarrow \infty }\int\limits_{\gamma -i\omega }^{\gamma+i\omega }{ e^{\lambda t}\frac{{R(\lambda ,A)x}}{{\lambda^{\alpha }}}\,d\lambda },\end{equation*}for every $x\in X,\,\,\beta >0$ and $t\geq 0.$
 
2000 Mathematics Subject Classification. 47D06, 47D60, 47D62
A Generalization of Meir-Keeler Type Common Fixed Point Theorem For Four Noncontinuous Mappings
Authors: Popa Valeriu
Published: August 2024

In this paper, using a combination of methods used in [1], [20] and [22] the results from [3, Theorem 1], [14, Theorem 1] and [15, Theorem 1] are improved removing the assumption of continuity, relaxing compatibility to the weak compatibility property and replacing the completeness of the space with a set of four alternative conditions for four functions satisfying an implicit relation.
 
2000 Mathematics Subject Classification. 54H25
Universality Results for Well-Founded Posets
Authors: Džamonja Mirna , Thompson Katherine
Published: August 2024

In this paper it is shown that the univerality spectrum of well-founded posets is exactly the same as the spectrum of the class of well-orders. A universality result for a restricted class of well-founded posets under rank and order preserving embeddings is also proved. This is done using a club guessing method generalised by Kojman which demonstrates a surjective homomorphism with subsets of the reals of bounded size ordered by inclusion.
 
1991 Mathematics Subject Classification. 03E04, 06A05, 06A06
A Class of Functional Equations (Almost) Characterizing Polynomials on Integral Domains
Authors: Ebanks Bruce R. , De Place Friis Peter
Published: August 2024

Let $R$ be an infinite integral domain not of characteristic 2. For a given $ n\geq 2$, suppose functions $f:R\rightarrow R$ and $h:R \rightarrow R$ satisfy\begin{equation*}[x_1,x_2,\ldots,x_n;f]=h(x_1+\cdots+x_n)\prod_{j>i}(x_j-x_i),\end{equation*}where the left side denotes the determinant of the $n\times n$ matrix with row $i$ given by $(1,x_i,x_i^2,\ldots,x_i^{n-2},f(x_i))$. It is proved that $ Df$ is a polynomial of degree at most $n$ over $R$, for some $D$ in $R$. For $n=2$ and $n=3$ the conclusion can be strengthened to take $D=1$, but surprisingly this is not possible for $n\geq 4$.
 
2000 Mathematics Subject Classification. Primary 39B52
The Kontorovich - Lebedev Transformation on Sobolev Type Spaces
Authors: Yakubovich Semyon B.
Published: August 2024

The Kontorovich-Lebedev transformation $$(KLf)(x)=\int_0^\inftyK_{i\tau}(x)f(\tau)d\tau, \;\, x \in {\mathbf R}_+$$ is consideredas an operator, which maps the weighted space $L_p(\mathbf R_+;$$\omega(\tau)d\tau), \;\, 2 \le p \le \infty$ into the Sobolevtype space $S_p^{N, \alpha}({\mathbf R}_+)$ with the finite norm$$||u||_{S_p^{N,\alpha}({\mathbf R}_+)}= \biggl( \sum_{k= 0}^N\int_0^\infty |A_x^k u|^p x^{\alpha_k p -1} dx\biggr)^{1/p} <\infty,$$where $\alpha= (\alpha_0, \alpha_1, \dots, \alpha_N), \alpha_k \in{\mathbf R}, k=0, \dots, N$, and $ A_x$ is the differentialoperator of the form$$A_x u= x^2u(x) - x\frac{d}{dx}\biggl[x\frac{du}{dx }\biggr], $$and $A_x^k$ means $k$-th iterate of $A_x, \ A_x^0u= u$. Elementary properties for the space $S_p^{N, \alpha} ({\mathbf R}_+)$ are derived. Boundedness and inversion properties for the Kontorovich-Lebedev transform are studied. In the Hilbert case ($p=2$) the isomorphism between these spaces is established for the special type of weights and Plancherel's type theorem is proved.
 
2000 Mathematics Subject Classification. 44A15, 46E35, 26D10
Warped Product Lightlike Submanifolds
Authors: Şahin Bayram
Published: August 2024

e study a new class of lightlike submanifolds $M$, called warped product lightlike submanifolds, of a semi-Riemann manifold. We show that the null geometry of $M$ reduces to the corresponding non-degenerate geometry of its semi-Riemann submanifold.
 
2000 Mathematics Subject Classification. 53C15, 53C40, 53C50
Regular Heptagon’s Midpoints Circle
Authors: Čerin Zvonko
Published: August 2024

This paper explores the geometry of the regular heptagon $ABCDEFG$. We start from a classical result by Thébault and Demir that six midpoints of sides and diagonals lie on a cirlce m with diameter equal to the side of the square inscribed in the circumcircle of $ABCDEFG$. Then we discover eight more midpoints of segments on $m$ and show that they are vertices of two regular heptagons inscribed in the circle $m$. Extending further this idea we show that midpoints of many other segments also lie on the circle $m$ so that it deserves the name – the midpoints circle of $ABCDEFG$. In the proofs we use the complex numbers and perform our calculations with the help of computers in Maple V.
 
2000 Mathematics Subject Classification. Primary 51N20, 51M04, Secondary 14A25, 14Q05
A Note on Very Weak Solutions for a Class of Nonlinear Elliptic Equations
Authors: Juling Li , Hongya Gao
Published: August 2024

We prove a new a priori estimate for very weak solutions of a class of nonlinear elliptic equations.
 
2000 Mathematics Subject Classification. 30C62, 35J60
Solutions of Neumann Boundary Value Problems for Higher Order Nonlinear Functional Difference Equations With $p$-Laplacian
Authors: Liu Yuji
Published: August 2024

Sufficient conditions for the existence of at least one solution of Neumann boundary value problems for higher order nonlinear functional difference equations with $p$-Laplacian are established. We allow $f$ to be at most linear, superlinear or sublinear in the obtained results.
 
2000 Mathematics Subject Classification. 34B10, 34B15
On $\theta$-$b$-Irresolute Functions
Authors: Rajesh N.
Published: August 2024

The concept of $b$-open sets was introduced by Andrijevic. The aim of this paper is to introduce and characterize $\theta$-$b$-irresolute functions by using $b$-open sets.
 
2000 Mathematics Subject Classification. 54C05
The Diameter of a Zero-Divisor Graph for Finite Direct Product of Commutative Rings
Authors: Atani S. Ebrahimi , Kohan M. Shajari
Published: August 2024

This paper establishes a set of theorems that describe the diameter of a zero-divisor graph for a finite direct product$R_{1}\times R_{2}\times\cdots\times R_{n}$ with respect to the diameters of the zero-divisor graphs of $R_{1},R_{2},\cdots,R_{n-1}$ and $R_{n}(n>2).$
 
2000 Mathematics Subject Classification. 05C75, 13A15
On Normal Subgroups of Unitary Groups of Some Unital ${AF}$-Algebras
Authors: Al-Rawashdeh Ahmed
Published: August 2024

In the case of von Neumann factors of types $II_{1}$ and $III$, P. de la Harpe proved that, if $\mathcal{N}$ is a normal subgroup of the unitary group which contains a non-trivial self-adjoint unitary, then $\mathcal{N}$ contains all self-adjoint unitaries of the factor. In this paper, we prove that if $A$ is a unital $AF$-algebra, which is either a $UHF$-algebra or its dimension group $K_0(A)$ is a 2-divisible, then any normal subgroup of the unitary group contains all self-adjoint unitaries if it contains some certain non-trivial self-adjoint unitary. Afterwards, we prove that if two unitary group automorphisms agree on a normal subgroup $\mathcal{N}$ of the unitaries, which contains some certain non-trivial self-adjoint unitary, then they differ by some character on the unitary group of $A$.
 
2000 Mathematics Subject Classification. 46L05, 46L80, 16U60
Coincidence Points Under Weak Contractions on Symmetric Spaces
Authors: Latif Abdul , Abou-Hajar A. A.
Published: August 2024

In this paper we prove some results on the existence of coincidence points for weak hybrid contractions on symmetric spaces. These results improve and generalize some known results. In particular, recent fixed point results due to Hicks [3] are generalized.
 
2000 Mathematics Subject Classification. 47H10, 54H25
On a Nonlinear Volterra-Fredholm Integral Equation
Authors: Pachpatte B. G.
Published: August 2024

In this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results.
 
2000 Mathematics Subject Classification. 34K10, 35R10
Another Hardy-Hilbert’s Integral Inequality
Authors: Sulaiman W. T.
Published: August 2024

We give a new kind of Hardy-Hilbert integral inequality via homogeneous functions as well as some other generalizations. Special cases are also obtained.
 
2000 Mathematics Subject Classification. 26D15
Two Types of Multilinear Stieltjes Integrals in the Henstock-Kurzweil Sense
Authors: Halilović Armin
Published: August 2024

In this paper we examine and compare two types of multilinear integrals considering their Stieltjes sums. The convergence of the Stieltjes sums is considered in the Riemann, Moore-Pollard and Henstock-Kurzweil sense.
 
2000 Mathematics Subject Classification. 28B05, 46G12
Existence Results for Nonoscillatory Solutions of Third Order Nonlinear Neutral Difference Equations
Authors: Thandapani E. , Karunakaran R. , Arockiasamy I. M.
Published: August 2024

In this paper the authors consider the third order neutral difference equation\begin{equation*}\Delta ^{3}\left( x_{n}+p_{n}x_{n-k}\right) +q_{n}f\left(x_{n-\ell }\right) =h_{n}\end{equation*}where $\left\{ p_{n}\right\} ,\left\{ q_{n}\right\} ,\left\{h_{n}\right\} \ $are real sequences. They use Krasnoselskii's fixed point theorem to establish the existence of nonoscillatory solutions. The results are illustrated with examples.
 
2000 Mathematics Subject Classification. 39A10
On the Completion of Pro-$\mathcal{P}$ Groups
Authors: Ilić-Georgijević Emil
Published: August 2024

We examine the class of finite paragraded groups which we will denote by $\mathcal{P}.$ After observing that the class $\mathcal{P}$ is closed with respect to subgroups and direct products (\cite{7}), we define the notion of a pro-$\mathcal{P}$ group and consider the completion of such a group.
 
2000 Mathematics Subject Classification. 08A05, 16W50, 20L05, 20E18, 20-99
Some New Grüss’ Type Inequalities for Functions of Selfadjoint Operators in Hilbert Spaces
Authors: Dragomir S. S.
Published: August 2024

Some new inequalities of Grüss' type for functions of selfadjoint operators in Hilbert spaces, under suitable assumptions for the involved operators, are given. Several examples for particular functions of interest are provided as well.
 
2000 Mathematics Subject Classification. 47A63, 47A99
Curvature of the Focal Conic in the Isotropic Plane
Authors: Šimć M. , Volenec Vladimir , Brkić J. Beban
Published: August 2024

It is shown in \cite{beba} that every focal conic $\mathcal{C}$ in the isotropic plane can be represented by the equation $y^2=\epsilon x^2+x$, $\epsilon \in \{-1,0,1\}$ and a parametrization. This paper gives the equation of the circle of curvature at the point $T$ of the focal conic $\mathcal{C}$. The radius of curvature $\rho$ at the point $T$ of the focal conic $\mathcal{C}$ is given as well as its relation to the span $\delta $ from the center of $\mathcal{C}$ to the tangent $\lijepot$ at the point $T$ and to the length of the half diameter of $\mathcal{C}$ on the diameter parallel to the $\textup{tangent}$.
 
2000 Mathematics Subject Classification. 51N25
Quasi-Diagonal Operators
Authors: Lohaj Muhib , Lohaj Shqipe
Published: August 2024

Let $H$ be a separable complex Hilbert space and let $B(H)$ denote the algebra of all bounded linear operators on $H.$ If $T$ is a quasi-normal Fredholm operator we prove that $TT^*\in (QD)(P_n)$ if and only if $T^*T\in (QD)(P_n).$ We also show that if $T$ is quasi-normal and $T(T^*T)$ is quasi-diagonal with respect to any sequence $(P_n)$ in $PF(H),$ such that $P_n\rightarrow I$ strongly, then $T=N+K,$ where $N$ is a normal operator and $K$ is a compact operator.
 
2000 Mathematics Subject Classification. 47Bxx, 47B20
Translates of Sequences for Some Small Sets
Authors: Miller Harry I. , Miller-Van Wieren Leila
Published: August 2024

D. Borwein and S. Z. Ditor have found a measurable subset $A$ of the real line having positive Lebesgue measure and a decreasing sequence $(d_n)$ of reals converging to $0$ such that, for each $x$, $x+d_n \notin A$ for infinitely many $n$. The set they constructed is nowhere dense. This result prompted us to further explore the question of subsets of $R$ and $R^{2}$ that are of "small size" and the existence of null sequences with the described property and hence attain some related results.
 
2000 Mathematics Subject Classification. 40D25, 40G99, 28A12
Analytic, Real Analytic and Harmonic Generalized Functions
Authors: Pilipović S.
Published: August 2024

We recall definitions and assertions concerning the spaces noted in the title. Various classes of nonlinear problems can be studied within these spaces appropriate for the analysis of different kinds of singularities. Especially, we explain in this paper the notion of the generalized analytic wave front set.
 
2000 Mathematics Subject Classification. 46F10, 46S10, 35A27
A new hybrid cyclic algorithm for two finite families of strictly asymptotically pseudocontractive mappings
Authors: Thakur Balwant Singh , Dewangan Rajshree , Khan Mohammad Saeed
Published: August 2024

The purpose of this paper is to propose a new hybrid cyclic algorithm for two finite families of strictly asymptotically pseudocontractive mappings and to establish a strong convergence theorem to approximate common  fixed point. The main result of the paper is an improvement and generalization of the well known corresponding results. It also provides an affirmative answer to an interesting problem raised by Marino and Xu [Weak and strong  convergence theorem for $\kappa$-strict pseudo-contractions in Hilbert spaces, J. Math. Anal. Appl. 329 (2007), 336-349].
 
2010 Mathematics Subject Classification. 47H09, 47H10
A Note on Pata-Type Cyclic Contractions
Authors: Kadelburg Zoran , Radenović Stojan
Published: August 2024

Several fixed point results are obtained for cyclic mappings satisfying contractive conditions of Pata-type. Some of them improve existing results in the literature. An example shows a possible usage of the obtained results.
 
2010 Mathematics Subject Classification. Primary 47H10; Secondary 47H09.
Introduction
Authors: Vuković Mirjana
Published: August 2024

No abstract available.
Graded Structures and Differential Operators on Nearly Holomorphic and Quasimodular Forms on Classical Groups
Authors: Panchishkin Alexei
Published: August 2024

We wish to use Krasner graded and Krasner-Vukovi´paragraded structures on differential operators and quasimod-ular forms on classical groups and show that these structures provide a tool to construct p-adic measures and p-adic L-functions on the corre-sponding non-archimedean weight spaces.
An approach to constructions of automorphic L-functions on unitary groups and their p-adic analogues is presented. For an algebraic group G over a number field K these L functions are certain Euler products L(s, π, r, χ).
We present a method using arithmetic nearly-holomorphic forms and general quasi-modular forms, related to algebraic automorphic forms. It gives a technique of constructing p-adic zeta-functions via quasi-modular forms and their Fourier coefficients.
* This paper was presented at the International Scientific Conference Graded structures in algebra and their applications, dedicated to the memory of Prof. Marc Krasner, IUCDubrovnik, Cratia, September, 22-24, 2016.
An application of Mittag-Leffler Lemma to the L.F algebra of $\boldsymbol{\mathcal{C}^{(\infty)}}$ $\mathbb{N}$-tempered functions on $\mathbb{R}^+$
Authors: Hemdaoui M.
Published: August 2024

In this note, we show that a ${\mathcal{C}}^{(\infty)}$ $N$-tempered function $f$ on $\mathbb{R}^+$ can be extended as a ${\mathcal{C}}^{(\infty)}$ function $\widetilde{f}$ in $]-\rho, +\infty[ +\mathbb{R}i$ ($\forall \rho>0)$ such that $$D^{\alpha}\frac{\partial }{\partial \overline{z}}\widetilde{f}(z)|_{\{z=x\}}=0, \quad \forall \alpha =(\alpha_1, \alpha_2)\in \mathbb{N}^2, \quad \forall x\in \mathbb{R}^+.$$ To get this result, we use Mittag-Leffler Lemma.
On Strongly Regular Graphs With $m_2 = qm_3$ AND $m_3 = qm_2$ for $q = 5,6,7,8$
Authors: Lepović Mirko
Published: August 2024

We say that a regular graph $G$ of order $n$ and degree $r\ge 1$ (which is not the complete graph) is strongly regular if there exist non-negative integers $\tau$ and $\theta$ such that $|S_i\cap S_j| = \tau$ for any two adjacent vertices $i$ and $j$, and $|S_i\cap S_j| = \theta$ for any two distinct non-adjacent vertices $i$ and $j$, where $S_k$ denotes the neighborhood of the vertex $k$. Let $\lambda_1 = r$, $\lambda_2$ and $\lambda_3$ be the distinct eigenvalues of a connected strongly regular graph. Let $m_1 = 1$, $m_2$ and $m_3$ denote the multiplicity of $r$, $\lambda_2$ and $\lambda_3$, respectively. We describe the parameters $n$, $r$, $\tau$ and $\theta$ for strongly regular graphs with $m_2 = qm_3$ and $m_3 = qm_2$ for $q = 5,6,7,8$.
Almost $\eta$-conformal Ricci solitons in $(LCS)_{3}$-manifolds
Authors: Siddiqi Mohd Danish , Chaubey Sudhakar K.
Published: August 2024

The aim of the present paper is to study the properties of three dimensional Lorentzian concircular structure manifolds ($(LCS)_{3}$-manifolds) endowed with almost $\eta$-conformal Ricci solitons. Also, we discuss the $\eta$-conformal gradient shrinking Ricci solitons on $(LCS)_{3}$-manifolds. Finally, the examples of almost $\eta$-conformal Ricci soliton on an $(LCS)_{3}$-manifold are provided in the region where $(LCS)_{3}$-manifold is expanding.
Stability of $n-$ Dimensional Additive Functional Equation in Fuzzy Normed Spaces
Authors: Arasu V. , Angayarkanni M.
Published: August 2024

In this paper, the authors investigate the generalized Hyers-Ulam-stability of new $n-$ dimensional additive functional equation \[\sum_{j=1}^n f\left(-x_j+\sum_{1\leq i\leq n, i\neq j} x_{i}\right)=(n-2)\sum_{j=1}^n f(x_j)\]in fuzzy normed space using direct and fixed point approach.
Happy 70th Birthday Professor Mustafa Kulenović
Authors: Nurkanović Mehmed
Published: August 2024

No abstract available.
Dynamics of a Two-Dimensional Cooperative System of Polynomial Difference Equations With Cubic Terms
Authors: Bektešević Jasmin , Hadžiabdić Vahidin , Mehuljić Midhat , Mujić Naida
Published: August 2024

In this paper we present a local dynamics and investigate the global behavior of the following system of difference equations$x_{n+1}=ax_{n}^{3}+by_{n}^{3}$
$y_{n+1}=Ax_{n}^{3}+By_{n}^{3}$
$n\in\mathbb{N}_0$
with non-negative parameters and initial conditions $x_{0}$ and $y_{0}$ that are real numbers. We establish the relations for local stability of equilibriums and necessary and sufficient conditions for the existence of period-two solution(s). We then use this result to give global behavior results for special ranges of parameters and determine the basins of attraction of all equilibrium points.
Exceptional values of $p$-adic derivatives \ A survey with some improvements
Authors: Escassut Alain
Published: August 2024

Let $\K$ be a complete ultrametric algebraically closed field of characteristic $0$ and let $f$ be a meromorphic function in $\K$ admitting primitives. We show that $f$ has no value taken finitely many times provided an additional hypothesis is satisfied: either $f$ has finitely many poles of order $\geq 3$, or $f$ has two perfectly branched values, or the logarithm of the number of poles in the disk of center $0$ and diameter $r$ is bounded by $O(\Log(r))$ ($r>1$). We make the conjecture: all additional hypotheses are superfluous.
A Korovkin-type approximation theorem for positive linear operators in $H_{\omega }\left( K\right) $ via power series method
Authors: Altiparmak Ebru , Atlihan Özlem Girgin
Published: August 2024

The aim of this paper is to present Korovkin theorems for positive linear operators of two variables from $H_{\omega }\left( K\right) $ into $%C_{B}\left( K\right) $ via the power series method. In addition, we give an example that our new approximation result works but its classical case does not work. Furthermore, we obtain the rate of convergence of these operators.
Promotion of the book "Mathematicians - academicians", by academician Mirjana Vuković
Authors: Vuković Mirjana
Published: August 2024

No abstract available.
On Invariant Hypercomplex Structures on Homogeneous Spaces
Authors: Terzić Svjetlana
Published: August 2024

An existence of invariant hypercomplex structure on compact homogeneous spaces implies strong restrictions on their root structure and consequently on their characteristic Pontrjagin classes and the corresponding Chern classes. We describe these constraints by making use of Lie theory.
2010 Mathematics Subject Classification. Primary: 22F30, 32Q60, Secondary: 22E60, 57R20.
Applications of the Multisubset Sum Problem Over Finite Abelian Groups
Authors: Muratović-Ribić Amela
Published: August 2024

In the article, we use the subset sum formula over a finite abelian group on the product of finite groups to derive the number of restricted partitions of elements in the group and to count the number of compositions over finite abelian groups. Later, we apply the formula for the multisubset sum problem on a group $\mathbb{Z}_n$ to produce a new technique for studying restricted partitions of positive integers.
2020 Mathematics Subject Classification. 05A17, 11P81
Almost Diagonalization of $\Psi$DO’s Over Various Generalized Function Spaces
Authors: Pilipović Stevan , Teofanov Nenad , Tomić Filip
Published: August 2024

Inductive and projective type sequence spaces of sub- and super-exponential growth, and the corresponding inductive and projective limits of modulation spaces are considered as a framework for almost diagonalization of pseudo-differential operators. Moreover, recent results of the first author and B. Prangoski related to the almost diagonalization of pseudo-differential operators in the context of Hormander metrics are reviewed.
2010 Mathematics Subject Classification. 47G30, 46F05, 42C15, 58J40.
REGULATING THE STATUS OF OFFICIALS OF THE REGIONAL INTERGOVERNMENTAL ORGANISATIONS IN SOUTHEAST EUROPE: A QUEST FOR AN INTERNATIONAL CIVIL SERVICE
Authors: Glodić Duško Z.
Published: August 2024

The article explores how the constituent instruments and secondary rules of the selected three regional intergovernmental organisations in Southeast Europe (Energy Community, Transport Community, Regional School of Public Administration) have incorporated some key legal concepts related to the status of international officials - professional independence of international officials and exclusivity of international service; recruitment standards; and the legal remedies for protecting the rights of international officials. The article, at the first place, defines the notion of international civil service, and elaborates, based on the legal texts of a number of international organisations and theoretical writings, the international practice in regulating the above specified concepts. The article than analyses and assesses how these concepts have been addressed in the relevant legal documents of the selected organisations. Finally, the article concludes that the explored legal texts provide for the guarantees of professional independence of the officials and contain the elaborated rules on recruitment aiming at selecting qualified staff and ensuring the geographical equilibrium within the secretariats. However, certain shortages have been identified and explained in relation to the existence of adequate legal remedies for protecting staff, particularly through the judicial proceedings.
DEVELOPMENT OF TRADE UNION ORGANIZING AS A HISTORICAL LEGACY AND A CONSTITUTIONAL RIGHT
Authors: Galić Borislav M. , Raonić Rajko G.
Published: August 2024

Throughout history, trade union organization has undergone significant reforms and changed as the organization of the state itself has changed. Trade union organization went through three historical phases: the phase until the nineteenth century, the phase from the nineteenth century to the middle of the twentieth century, and the final phase in the twenty-first century. Trade union organization followed the organization of the first states, through which workers defended their labor rights under primitive conditions in a primitively organized way. The first modern forms of trade union organizing were experienced in the territory of the United Kingdom, which is also considered the forerunner of trade union organizing. The right to organize a trade union, although today one of the fundamental collective rights, is increasingly becoming the subject of discussions and dilemmas, whether this right is really necessary in labor relations and, in the end, in constitutions of a large number of countries, as a promotion of economic and social rights. The paper could be divided into three parts, firstly the authors want to define the historical development of trade union organization, the process of developing in the countries of the world, what are the key historical moments in which this right made and contributed to “a quality more” in labor relations, and which were the first laws-constitutions that provided for this fundamental right today. The second part of the paper refers to the current normative legal situation in the Republic of Serbia regarding trade union organization and specifically trade union rights. The third part actually represents the main purpose of the paper, which is to point out some potential problems in the twenty-first century that union organizing in the international community is facing.
ZAKONSKI POJAM SILOVANJA U SVETLU ISTANBULSKE KONVENCIJE I NOVIJIH SUDSKIH ODLUKA
Authors: Milošević Mladen M. , Vujanović Porubović Leposava I.
Published: August 2024

Članak je posvećen razmatranju pojma radnje krivičnog dela silovanja u srpskom krivičnom zakonodavstvu, odnosno oceni usaglašenosti naše legislative sa Istanbulskom konvencijom. Zakonski opis silovanja se značajno menjao, počev od ZID KZ iz 2002. godine. Ipak, tumačenje pojedinih elemenata zakonskog opisa krivičnog dela iz čl. 178 KZ izaziva nedoumice. Autori nastoje da pruže doprinos ukazujući na stvarno značenje odgovarajućih odredaba Istanbulske konvencije. Autori posebno analiziraju presudu Vrhovnog kasacionog suda iz 2019. godine, koja bi, po njihovom mišljenju, mogla da predstavlja uzorni obrazac za buduću sudsku praksu.
Convection-Diffusion Equations in Uniformly Local Lebesgue Spaces
Authors: Khatun Mahfuza , Islam Md. Zahidul , Haque Md. Rabiul
Published: August 2024

In this paper, we establish the local existence and uniqueness of the mild solution to the Cauchy problem for convection-diffusion equation in n-dimensional Euclidean space with initial data in uniformly local function spaces \(L^r_{uloc,\rho}\)(\(\mathbb{R}^n\)). For the proof, we apply the uniformly local \(L^p_{uloc,\rho}\)(\(\mathbb{R}^n\)) - \(L^q_{uloc,\rho}\)(\(\mathbb{R}^n\)) estimate for the convolution operators got by Maekawa and Terasawa [1], and the Banach fixed point hypothesis.
Investigating the Effect of Smoking on Transcriptomics of Primary Oral Cavity Tumors using the Gene Expression Omnibus Dataset
Authors: Jeon Rachel
Published: August 2024

Smoking has been suspected to have some relation with the occurrence of oral cancers. However, not much research has been documented with advanced analysis.  Utilizing Gene Expression Omnibus (GSE) data, a differential expression (DE) analysis was conducted to investigate the impact of smoking on oral carcinogenesis. The dataset underwent quality control, followed by K-nearest neighbors (KNN) clustering of cells. Cell types were assigned by using the sc-type cell marker library and the annotations provided by the data contributors. Subsequently, DE analysis was performed for each identified cell type. The results of the DE analysis revealed significant upregulation of keratin-related genes, extracellular matrix (ECM) related genes, and immunoglobulin-related genes in smoker tissues. Notably, neutrophils and macrophages exhibited elevated expression of the keratin (KRT) gene family. Moreover, normal epithelial cells displayed increased expression of type 1 collagen (COL1A1). Neutrophils showed heightened expression of trefoil factor 3 (TFF3), which is associated with mucosa secretion. Furthermore, macrophages and naive CD4+ T cells exhibited elevated levels of matrix metalloproteinases (MMPs), enzymes involved in ECM degradation. Interestingly, tumor cells and fibroblasts demonstrated elevated expression of S100A7 (S100 calcium-binding protein A7), an antimicrobial peptide known to impact keratinocyte differentiation. These findings shed light on the complex molecular changes that can potentially lead to the remodeling of the local microenvironment.
A Survey on Machine Learning Techniques for The Prediction of Solar Power Production
Authors: Lamidi L.O. , Oyelakin Akinyemi Moruff , Akinbi M. B
Published: August 2024

Renewable energy sources are needed globally to support the available non-renewable energy sources our day-to-day living. There is high demand for renewable energy sources in both the developed and developing economies. Solar power is a good example of renewable energy source and people are currently embracing it globally for both domestic and industrial uses. Generally, these energy sources are meant to support the hydro, thermal and other energy sources that are available in different countries of the world. With the popularity of solar energy for both domestic and industrial usage, it can be argued that the estimation of the production level of such energy source is necessary so as to achieve proper planning and management. Due to the fact that the availability of the solar energy power depends largely on a number of environmental and weather conditions, predicting its production or generation can be very important. This study surveyed different works in the area of using machine learning techniques for solar power production prediction. The articles sourced were from notable research repositories. This study focuses on articles that were published between 2013 and 2023 on the subject matter. Different types of machine learning (ML) algorithms that have been used to build models from solar energy datasets are reported in this study. It is believed that the work can provide better insights for the researchers working in the problem area. Thus, the insights in this study can lead to building of improved machine learning-based models for solar power forecasting
Bibliometric Analysis of Mixed Text Using Transformer-Based Architecture in Africa
Authors: Sekwatlakwatla Sello Prince , Malele Vusumuzi , Ramalepe Phetole Simon , Modipa Thipe
Published: August 2024

Deep learning techniques based on neural networks have been developed for text creation, a critical sub-task of natural language generation that aims to create human-readable content. Natural language processing (NLP) tasks are utilized to recognize speech in code-mixed comments on social media platforms like Facebook and Twitter, which enable users to interact and exchange ideas, views, status updates, pictures, and videos with people all over the world. Although NLP is widely investigated in the world and Africa is home to approximately 3,000 languages, many of which are derived from significant language families, in this regard, there are challenges that Africa faces in Natural Language Processing (NLP), especially mixed text using transformer-based architecture. The purpose of this study is to investigate the prevalence of mixed text using transformer-based architecture in Africa. Bibliometric analysis was used to assess natural language and mixed text in Africa, utilizing transformer-based architecture. show that sentiment analysis is the holistic tool that is used for mixed text using transformers, where social media, deep learning, codes, computational linguistics, and social networking are critical tools in generating human-like quality text. Therefore, this study proposes artificial intelligence, artificial neutral networks, and neural networks, as well as a prediction to estimate the technique or fluctuation as the method for mixed text using transformer-based architecture in Africa. This research sets the path for future studies that use mixed text using transformer-based architecture in Africa
Bien común en la esfera financiera: economía colaborativa, caso: el crowdfunding
Authors: González Romero Miguel Ángel , Garrido Lastra María Isabel , Ascencio Ordaz Carla América
Published: August 2024

El crowdfunding si bien se ha constituido y permeado en las estructuras capitalistas como un esquema de colaboración donde se aplican procesos democráticos que buscan el interés colectivo su base sigue siendo la circulación del dinero y su doble función (tasa de interés y tasa de ganancia). Por ello, este artículo realiza una discusión, a través de una revisión documental, en torno a los principales fundamentos teóricos de la economía colaborativa y su análisis sobre esta alternativa de financiamiento colectivo para determinar sus alcances y limitaciones. Así, se presentan como principal resultado que las propuestas alternativas analizadas si bien presentan fundamentos teóricos acordes al bien común y la economía colaborativa, su forma de operar y crear dinero encuentra sus fundamentos sobre el propio sistema capitalista, es decir, no cambian la dinámica de acumulación del capital y generación de la tasa de ganancia sino que fortalecen los sistemas tradicionales del capital a través de formas sofisticadas de interrelación desde plataformas virtuales.
EFFECTIVENESS OF PHYSIOTHERAPY REHABILITATION IN GULLIAN - BARRE SYNDROME
Authors: BHARTI AKANKSHA , AMIT
Published: August 2024

In order to evaluate and comprehend how different types of Gullian-Barre Syndrome respond to physiotherapy rehabilitation. The routine, evaluation, check, and diagnosis of the several treatments being utilized to treat this illness form the basis of the case study. The patient received immunoglobin and a monoclonal antibody treatment, among other medications, to see if their condition improved. This research mentions a number of conditions, such as respiratory failure, limb weakness, and limb strength. Professional physiotherapy techniques, a balanced and coordination program, virtual reality technologies, and breathing exercises were used to enhance their ADLs. This study aims to investigate different physiotherapy approaches and different forms of Guillain-Barre syndrome variation, with a focus on the most advantageous and successful approach. Based on this examination, it was determined that the patient treatment is effective in allowing patients to return to their usual routines. The use of contemporary physiotherapy approaches improves patient outcomes.
Keywords: Guillain-Barre syndrome, rehabilitation, physical treatment, limb strength, and weakness.
Automated vehicles
Authors: Burton Kathryn ,   Parliamentary Office of Science and Technology, Gajjar Devyani
Published: August 2024

This POSTbrief explains what automated vehicles are and how they work. It outlines developments in the UK, benefits and concerns and policy considerations.
Demonstration Method as an Effort to Improve Fiqh Learning Outcomes for MI Al Aziz Probolinggo Students
Authors: Muhammad Devy Habibi , Nurlaila Maulidiyah
Published: August 2024

This journal discusses efforts to improve the academic achievement of third-grade students at MI Al-Aziz, located in the Kanigaran District of Probolinggo Regency. The research focuses on the implementation of the demonstration method in the Fiqih subject for third-grade students at MI Al-Aziz and its impact on students' learning achievement. The attention is directed towards the low academic achievement of students, which has not yet reached the minimum passing grade of 75. The Classroom Action Research (CAR) method is employed as an approach to address this issue. The research results indicate an improvement in students' learning achievement when the demonstration method is applied from Cycle 1 to Cycle 2. In Cycle 1, approximately 64.71% of students achieved proficiency, while in Cycle 2, this figure increased to around 82.35%. These findings affirm that the demonstration method is effective in enhancing students' learning achievement. Therefore, based on the results of this research, it is recommended that teachers adopt the demonstration method in teaching, making adjustments according to the appropriate material for application with the demonstration method.
Understanding the Concept of Rulership According to al-Ghazali in Nasīhat Al-Mulūk and Machiavelli in The Prince: A Comparative Analysis
Authors: Nur Adillah Omar
Published: August 2024

The objective of this study is to analyse the concept of rulership according to the perspectives of two scholars from the area of political philosophy, namely al-Ghazali and Machiavelli. It is important to fully understand the concept of rulership according to these two scholars as presented in their books Nasīhat al-Mulūk and The Prince in order to know the basis of political systems advocated by al-Ghazali and Machiavelli in relation to the advice they gave to their respective rulers in ruling the states during their time. It is necessary to research on this since their respective views on rulership are not only for the people who lived in the past, but also for the present and future generations. Of course, both scholars have contradictory views. Al-Ghazali upholds religion as the foundation of his political approach, whereas Machiavelli is a secular thinker, who detaches religion and morality for the foundation of his political approach. However, both scholars use the same framework of political system, which is the authoritarian political system framework, in giving advice to the rulers in governing their states. Thus, this thesis analyses the concept of rulership in order to justify the authoritarian style of political system that has been theorised by both al-Ghazali and Machiavelli, based on Nasīhat al-Mulūk and The Prince respectively using Juan Linz’s framework of authoritarian political system which are 1) limited pluralism, 2) mentally, 3) mobilization and 4) leadership.I used qualitative methodology, which is library research and content analysis in analysing the concept. In conclusion, based on the books, Nasīhat al-Mulūk by al-Ghazali and The Prince by Machiavelli, both scholars advocated authoritarian political system in giving advice to the rulers.
Predicating Qualities in Aristotle’s On Generation and Corruption
Authors: Neels Richard ,   Philosophy Documentation Center
Published: August 2024

I present a problem concerning the predication of elemental qualities in Aristotle’s On Generation and Corruption: What is the subject of predication for the elemental qualities? The usual answer in the scholarship is either the elements themselves, or prime matter (traditionally conceived). I argue that neither can perform this role. Instead, I explore the possibility that the elemental qualities are individually predicated of their own material principle. I show that this solution fits the text and solves the problem of predication of elemental qualities. I conclude by offering some comments on the status of the elemental contraries and demonstrate the benefits of my view in conjunction with some recent scholarship on the elemental contraries.
Implementation of employee green behavior in improving green practice at the grand hyatt hotel Bali
Authors: Yuliana Mayang Ratu Anjelita , Sutarma I Gusti Ngurah , Susanto Budi
Published: August 2024

This research aims to analyze the implementation of employee green behavior in improving green practices at the Grand Hyatt Bali Hotel. The data collection methods used were interviews, questionnaires, and documentation. The respondents in this study were 86 employees who worked at the Grand Hyatt Bali Hotel. The analysis techniques used in this research are quantitative descriptive analysis and quantitative data analysis using simple linear regression analysis. Before the analysis is carried out, a reliability test and validity test are carried out on the questionnaire that will be distributed to respondents. The results of the quantitative analysis research show that the reliability test results on the employee green behavior variable have a Cronbanch's Alpha value of 0.819 and the green practice variable is 0.896, which shows that each variable has a value greater than Cronbanch's Alpha in the range of 0.60 in the correlation test. The test results between the employee green behavior and green practice variables at the Grand Hyatt Bali Hotel obtained a Pearson Correlation value of 0.559. With a significance value of <0.05, it can be concluded that the variables are correlated and have a positive correlation relationship. This shows that if there is an increase in the employee green behavior variable, it will be followed by an increase in the green practice variable. It can be concluded that employee green behavior has an influence on green practices, but several indicators need to be improved again so that the implementation of employee green behavior can run efficiently in improving green practices.
Importance of Cyber Law
Authors: Bozgeyik Hayri
Published: August 2024

In the digital age, cyber law is of utmost importance in protecting individuals, organizations, and governments from cyber threats. This presentation explores the five main problems related to cyber law, including cybercrime, cyber-security threats, privacy concerns, intellectual property infringement, and international cooperation. Drawing on the opinions of 10 experts and global legal practice, we examine potential decisions that can be made to address these challenges. Our analysis suggests that effective cyber law solutions require strong international cooperation, education and awareness, privacy and data protection, intellectual property protection, and robust policy and enforcement frameworks.
Digital Challenges in Education
Authors: Djalalov Muzaffar
Published: August 2024

Digital technology is transforming education, presenting both opportunities and challenges. This presentation explores five main problems related to digital challenges in education, including access and equity, digital literacy and skills, online learning and assessment, digital citizenship and ethics, and technology integration and innovation, and potential decisions that can be made to address them. Drawing on the perspectives of ten scholars and global educational practices, this presentation aims to contribute to the responsible and effective integration of digital technology in education.
Legal Tech Education in Digital Age: Prospects and Challenges
Authors: Pokhariyal Purvi
Published: August 2024

Legal Tech Education is increasingly important for legal professionals in the digital age. However, Legal Tech Education presents a range of challenges, including access, standardization, and ethical considerations. This presentation explores the five main problems and decisions related to Legal Tech Education, drawing on the perspectives of ten scholars and global legal practices. The presentation aims to offer potential solutions to address the need for Legal Tech Skills, increase access to Legal Tech Education, standardize Legal Tech Education, integrate Legal Tech Education, and address ethical considerations in Legal Tech Education.
Digital Data Protection
Authors: Shakhida Karakhodjaeva
Published: August 2024

This paper discusses the challenges and solutions for digital data protection in the current technological landscape. With the proliferation of digital technologies, protecting sensitive data has become more critical than ever before. This paper identifies five key challenges that organizations face in protecting digital data and provides solutions to mitigate those risks. The study also explores the current state of global data protection laws and regulations and their implications for organizations. Finally, the paper concludes by emphasizing the need for a comprehensive and integrated approach to digital data protection.
Digitalization of Legal Education
Authors: Zolea Sirio
Published: August 2024

The digital revolution has transformed many aspects of our lives, including legal education. The emergence of new technologies has given rise to new opportunities for legal education, such as online courses and digital resources. However, the digitalization of legal education has also presented a range of challenges, from ensuring quality control to addressing issues of access and equity. This article explores five key problems facing the digitalization of legal education and presents potential solutions based on the perspectives of 10 legal scholars and the global legal practice.
Legal Considerations for Harnessing Artificial Intelligence in Healthcare
Authors: Ekaterina Kan
Published: August 2024

This article provides an overview of the theoretical and practical concerns for harmonizing technology and healthcare practices, as well as the legal consequences of implementing AI in healthcare. It draws attention to the privacy, data security, transparency, accountability, and bias concerns that accompany the widespread use of AI in healthcare. Data protection, informed consent, algorithmic transparency, and regulatory monitoring are just some of the issues addressed in this paper, which calls for the creation of strong legal frameworks to control AI in healthcare. It stresses the need for audits, explainability, and shared responsibility among stakeholders in AI-enabled healthcare to ensure accountability and create confidence. This work explores how Uzbekistan might develop its approach to artificial intelligence legislation in healthcare by drawing on the experiences of other jurisdictions and working in tandem with international organizations.