Form Of Series Research Articles

Pengaruh Pajak Daerah, Belanja Langsung dan Belanja Tidak Langsung Terhadap Pertumbuhan Ekonomi di Provinsi Aceh

Economic growth is one of the most important indicators in analyzing economic development that occurs in a region or country. Economic growth shows the extent to which economic activity will generate additional income for the community in a certain period. This research aims to look at the influence of regional taxes, direct spending and indirect spending on economic growth in Aceh Province in 2014 - 2023. The data used in this research is secondary data in the form of a time series taken from the last 10 years sourced from the Central Agency. Aceh Province Statistics (BPS) using a quantitative approach. The method used is multiple linear regression analysis. Based on the research results, it can be concluded that Regional Taxes, Direct Expenditures and Indirect Expenditures do not have a significant influence on Economic Growth in Aceh Province in the 2014-2023 period, either individually (separately) or simultaneously (together).

Electromagnetic duality for line defect correlators in $$ \mathcal{N} $$ = 4 super Yang-Mills theory

Abstract We study particular integrated correlation functions of two superconformal primary operators of the stress tensor multiplet in the presence of a half-BPS line defect labelled by electromagnetic charges (p, q) in $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory (SYM) with gauge group SU(N). An important consequence of SL(2, ℤ) electromagnetic duality in $$ \mathcal{N} $$ N = 4 SYM is that correlators of line defect operators with different charges (p, q) must be related in a non-trivial manner when the complex coupling τ = θ/(2π) + $$ 4\pi i/{g}_{\textrm{YM}}^2 $$ 4 πi / g YM 2 is transformed appropriately. In this work we introduce a novel class of real-analytic functions whose automorphic properties with respect to SL(2, ℤ) match the expected transformations of line defect operators in $$ \mathcal{N} $$ N = 4 SYM under electromagnetic duality. At large N and fixed τ, the correlation functions we consider are related to scattering amplitudes of two gravitons from extended (p, q)-strings in the holographic dual type IIB superstring theory. We show that the large-N expansion coefficients of the integrated two-point line defect correlators are given by finite linear combinations with rational coefficients of elements belonging to this class of automorphic functions. On the other hand, for any fixed value of N we conjecture that the line defect integrated correlators can be expressed as formal infinite series over such automorphic functions. The resummation of this series produces a simple lattice sum representation for the integrated line defect correlator that manifests its automorphic properties. We explicitly demonstrate this construction for the cases with gauge group SU(2) and SU(3). Our results give direct access to non-perturbative integrated correlators in the presence of an ’t Hooft-line defect, observables otherwise very difficult to compute by other means.

Hilbert Poincaré series and kernels for products of L-functions

We study Hilbert Poincaré series associated to general seed functions and construct Cohen’s kernels and double Eisenstein series as series of Hilbert Poincaré series. Then we calculate the Rankin–Cohen brackets of Hilbert Poincaré series and Hilbert modular forms and extend Zagier’s kernel formula to totally real number fields. Finally, we show that the Rankin–Cohen brackets of two different types of Eisenstein series are special values of double Eisenstein series up to a constant.

Functional equations in formal power series

Let \(k\) be an algebraically closed field of characteristic zero, and \(k[[z]]\) the ring of formal power series over \(k\). In this paper, we study equations in the semigroup \(z^2k[[z]]\) with the semigroup operation being composition. We prove a number of general results about such equations and provide some applications. In particular, we answer a question of Horwitz and Rubel about decompositions of "even" formal power series. We also show that every right amenable subsemigroup of \(z^2k[[z]]\) is conjugate to a subsemigroup of the semigroup of monomials.

Analysis of the Influence of Direct Investment and Labor on Economic Growth in Indonesia

This study aims to analyze the effect of investment and labor on economic growth in Indonesia. One of the factors that affects economic growth is foreign direct investment (FDI). In addition to FDI, labor also plays an important role in economic growth. This study uses secondary data in the form of a thirteen-year time series from 2010-2023, namely with direct investment variables (X1) and Labor (X2). The analysis method used is quantitative, using Multiple Linear Analysis Techniques with the help of the E-Views 9 program. The results of this study indicate that direct investment and labor variables have a significant positive impact on economic growth in Indonesia.

Benchmarking Anomaly Detection Methods: Insights From the UCR Time Series Anomaly Archive

ABSTRACTAnomaly detection, vital for identifying deviations from normative data patterns, is particularly crucial in sensor‐driven real‐world applications, which predominantly involve temporal data in the form of time series. Traditional evaluation of anomaly detection methods has relied on public benchmark datasets. Yet, recent revelations have uncovered inherent flaws and inadequacies in these datasets, casting doubt on the perceived progress in the field. To address this challenge, the UCR Time Series Anomaly Archive has been recently proposed—a meticulously curated database comprising 250 time series—designed to provide a robust and error‐free benchmark for anomaly detection research. This paper comprehensively evaluates state‐of‐the‐art anomaly detection techniques using the UCR Time Series Anomaly Archive. Our findings demonstrate the efficacy of current methods in accurately detecting anomalies across an important portion of datasets without additional optimization, underscoring the archive's utility as a foundational baseline for future research and development in anomaly detection methodologies.

FRACTIONAL ANALYSIS OF ONE-DIMENSIONAL SCHRÖDINGER MODEL IN THE CONTEXT OF CAPUTO-TYPE FRACTIONAL DERIVATIVES BASED ON RESIDUAL POWER SERIES METHOD

This research presents a novel analytical approach to explore the fractional analysis of the one-dimensional time-fractional Schrödinger model (TFSM) using Caputo fractional derivatives. By integrating the Mohand transform (MT) with the residual power series method (RPSM), we develop the Mohand residual power series method (MT-RPSM) that provides results in the form of convergent series without assumptions on variables. Initially, we employ MT to reduce the fractional order, and then we transfer the fractional problem into the Mohand space formulation. Second, we use the RPSM concept to derive the iterative series formula for the Mohand space formulation. We analyze these findings using visual layouts to show the physical representation of the TFSM, which matches the precise results very well. The results indicate that the proposed technique is a reliable and practical method for identifying and analyzing various nonlinear models of physical phenomena.

Pengaruh Tenaga Kerja dan Investasi terhadap Pertumbuhan Ekonomi di Provinsi Jambi

The aims of the study were to determine: (1) the effect of labor on economic growth in Jambi Province; (2) the effect of investment on economic growth in Jambi Province, and (3)tThe effect of labor and investment on economic growth in Jambi Province. The type of data used in this study is published secondary data, namely in the form of time series for 14 years in Jambi Province from 2010-2023. The source of the data obtained is from the Central Bureau of Statistics (BPS) Jambi Province. This study uses multiple linier regression analysis. Data analysis prerequisite test used normality test, multicollinearity test, autocorrelation test and heteroscedasticity test. The hypothesis test used is the coefficient of determination R square, the F test and the t test. The results of this study indicate that partially: (1) labor has a significant positive effect on economic growth in Jambi Province; (2) investment has a significant positive effect on economic growth in Jambi Province; and (3) simultaneously labor and investment have a significant effect on economic growth in Jambi Province.

Real-World and Patient-Reported Outcomes of Dupilumab and Other Biological Drugs for Chronic Obstructive Pulmonary Disease-A Systematic Review.

Over the last few decades, the efficacy of biological therapies for COPD has been evaluated by different randomized controlled trials (RCTs). Still, the evaluation of real-world data and patient-reported outcome measures (PROMs) have not been performed in this field before. In the current work, we present a systematic literature review of the real-world data and PROMs of biological treatments for COPD. Three large databases (MEDLINE/PubMed, Scopus, and ScienceDirect) were utilized for the systematic literature review. Clinical studies (RCT, cohorts, case series/reports) assessing patients with COPD treated by any biological therapy were included. The review resulted in twelve eligible studies (nine randomized controlled trials and three "real-world" case series/reports). The evaluation of PROMs in the included studies was mainly limited to the severity and burden of respiratory symptoms. Most biological therapies were associated with improved PROMs compared to the baseline, although not for the placebo. Dupilumab was the only biologic therapy with proven efficacy in RCT for both objective and subjective measures. One prior study reported patients' self-perceived drug effects, and none evaluated patients' perceived disease status. Only 25 patients were assessed in a real-world setting for all biologic therapies combined. Real-world data were retrospective in the form of case reports or series. There are limited data on patients' experience with biological therapies for COPD. While real-world data and PROMs are missing, biases such as a placebo effect must be considered, requiring their incorporation with objective outcomes from prospective controlled trials.

Double Eisenstein series and modular forms of level 4

Double Eisenstein series and modular forms of level 4

Kikuchi-Fujimoto Disease Presenting as Autoimmune Limbic Encephalitis: A Case Report with Review of Literature.

Kikuchi-Fujimoto disease (KFD) is a rare benign condition associated with fever and lymphadenopathy and was first described by Kikuchi and Fujimoto independently in 1972 as histiocytic necrotizing lymphadenitis. The diagnosis is made by histopathology with immunohistochemistry. Limbic encephalitis is an extremely rare presentation of this uncommon disease, which has been described mainly in children. Available evidence is sparse in the form of case reports and case series in the form of 10 cases published till date. We report a case of an adult female with KFD with autoimmune limbic encephalitis, who had complete clinical and radiologic recovery with treatment, and a literature review of all the cases published till date.

Moyal deformation of the classical arrival time

The quantum time of arrival (TOA) problem requires the statistics of measured arrival times given only the initial state of a particle. Following the standard framework of quantum theory, the problem translates into finding an appropriate quantum image of the classical arrival time TC(q,p), usually in operator form T̂. In this paper, we consider the problem anew within the phase space formulation of quantum mechanics. The resulting quantum image is a real-valued and time-reversal symmetric function TM(q,p) in formal series of ℏ2 with the classical arrival time as the leading term. It is obtained directly from the Moyal bracket relation with the system Hamiltonian and is hence interpreted as a Moyal deformation of the classical TOA. We investigate its properties and discuss how it bypasses the known obstructions to quantization by showing the isomorphism between TM(q,p) and the rigged Hilbert space TOA operator constructed in Pablico and Galapon [Eur. Phys. J. Plus 138, 153 (2023)], which always satisfy the time-energy canonical commutation relation for arbitrary analytic potentials. We then examine TOA problems for a free particle and a quartic oscillator potential as examples.

Peer Mentoring as a Restorative Justice Strategy for Youth Perpetrating Street Violence in the Special Region of Yogyakarta

The Juvenile Social Protection and Rehabilitation Center (BPRSR) ofYogyakarta Special Region (DIY) handles juvenile street violence (klithih) offendersbut faces challenges in peer mentoring, a vital component of restorative justice. Toenhance the skills of BPRSR staff, the Youth Studies Centre (YouSure), in collaborationwith the Centre for Public Mental Health (CPMH), organized a community serviceprogram in the form of a workshop series. The program aimed to strengthen staffcapabilities in identifying mental health problems, providing psychological first aid, andoffering basic counseling. The training began with a pre-test to assess participants’initial skills, followed by the training sessions, and concluded with a post-test. Resultsfrom the pre-test revealed a lack of understanding of the procedures for addressingmental health issues, while the post-test demonstrated a significant improvementin both skills and knowledge. Despite the training’s effectiveness, further followupis necessary to achieve a more comprehensive approach to restorative justice.Future training should be more in-depth and ongoing, addressing the identified gapsand supporting the practical application of these skills in adolescent rehabilitation atBPRSR.

Petrogenesis of Metamorphic Rock in the Mukito Formation at Sorawolio Region, Bau-Bau City, Buton Island, Southeast Sulawesi Province, Indonesia

The petrogenesis study of the metamorphic rocks of the Mukito Formation was carried out in the Sorawolio area, Bau-Bau City, Buton Island, Southeast Sulawesi Province, Indonesia. This research area is included in the southern part of the Buton sheet with coordinates S 5⁰23'40.8'' and E 122⁰43'44.9''. The aim of this research is to determine the petrogenesis of metamorphic rocks which includes determining the rock type, facies, type of metamorphism and protolith. The research methods used include megascopic and microscopic analysis of rocks in the form of petrographic analysis which includes identification of mineral content and rock texture and geochemical analysis in the form of XRF tests to determine the main oxide elements in metamorphic rock samples. Data obtained from the results of petrographic analysis show that the research area consists of several types of metamorphic rock, namely serpentinite, phyllite, chlorite schist, hornblende schist and amphibolite. The metamorphic rocks in the research area are included in the greenschist facies and amphibolite facies with regional metamorphism types as well as protoliths from igneous rocks in the form of basalt rock which were formed in the tholeiitic oceanic-island tectonic environment which is a convergent complex characterized by continental origin in the magma series in the form of the tholeiitic series and calc -alkaline series.

Periodic and Axial Perturbations of Chaotic Solitons in the Realm of Complex Structured Quintic Swift-Hohenberg Equation

This research work employs a powerful analytical method known as the Riccati Modified Extended Simple Equation Method (RMESEM) to investigate and analyse chaotic soliton solutions of the (1 + 1)-dimensional Complex Quintic Swift–Hohenberg Equation (CQSHE). This model serves to describe complex dissipative systems that produce patterns. We have found that there exist numerous chaotic soliton solutions with periodic and axial perturbations to the intended CQSHE, provided that the coefficients are constrained by certain conditions. Furthermore, by applying a sophisticated transformation, the provided transformative approach RMESEM transforms CQSHE into a set of Nonlinear Ordinary Differential Equations (NODEs). The resulting set of NODEs is then transformed into an algebraic system of equations by incorporating the extended Riccati NODE to assume a series form solution. The soliton solutions to this system of equations can be found as periodic, hyperbolic, exponential, rational-hyperbolic, and rational families of functions. A variety of 3D and contour visuals are also provided to graphically illustrate the axially and periodically perturbed dynamics of these chaotic soliton solutions and the formation of fractals. Our findings are noteworthy because they shed light on the chaotic nature of the framework we are examining, enabling us to better understand the dynamics that underlie it.

Using ARIMA and ETS models for forecasting water level changes for sustainable environmental management

It is vital to provide useful hydrological forecasts for urban and agricultural water management, hydropower generation, flood protection and management, drought mitigation and alleviation, and river basin planning and management, among other things. This paper introduces a simple and flexible hydrological time series forecasting framework. Predicting water levels is crucial, given the need for sustainable environmental management. The prognosis should be reasonable to persuade individuals to take proper precautions. While many methods have been developed to predict water levels, here the effectiveness of two approaches to predicting river water levels was assessed. For this purpose, nine years of data were used, which were divided into input data (2014–2021) and validation data (2022), on water levels in the Morava e Binçës river for the Vitia station, in the form of monthly time series records, to identify the best model among those used and to identify the information necessary for water resource management and hazard control. Models Autoregressive Integrated Moving Average(ARIMA) and Error Trend and Seasonality, or Exponential Smoothing (ETS), were examined using the R package to determine the most accurate. The results indicate the applicability of both models, as evidenced by the Root Mean Square Error (RMSE) and the Mean Absolute Error (MAE). The predictive analysis based on historical water levels allowed the identification of distinct periods characterized by high and low water levels between 2022 and 2024, which is important for the area in question due to the numerous flood events occurring here.

On the analysis and deeper properties of the fractional complex physical models pertaining to nonsingular kernels.

This study solves the coupled fractional differential equations defining the massive Thirring model and the Kundu Eckhaus equation using the Natural transform decomposition method. The massive Thirring model is a dynamic component of quantum field theory, consisting of a coupled nonlinear complex differential equations. Initially, we study the suggested equations under the fractional derivative of Caputo-Fabrizio. The Atangana-Baleanu derivative is then used to evaluate the comparable equations. The results are significant and necessary for exploring a range of physical processes. This paper uses modern approach and the fractional operators in this situation to develop satisfactory approximations to the offered problems. The proposed approach combines the natural transform technique with the efficient Adomian decomposition scheme. Obtaining numerical findings in the form of a fast-converge series significantly improves the scheme's accuracy. Some graphical plot distributions are presented to show that the present approach is very simple and straightforward. We performed a fractional order analysis of assumed phenomena to demonstrate and validate the effectiveness of the future technique. The behaviour of the approximate series solution for several fractional orders is shown visually. Additionally, the nature of the derived outcome has been observed for various fractional orders. The derived results demonstrate how simple and efficient the proposed method is to apply for analysing the behaviour of fractionally-order complex nonlinear differential equations that arise in related fields of engineering and science.

Anions Formed by Perchlorofluorobenzenes C6ClnF6-n (n = 0-6).

Anions formed by the perhalobenzene series C6ClnF6-n (n = 0-6) are studied computationally. All members of the series form both stable valence and stable nonvalence anions. At the geometry of the neutral parents, only nonvalence anions are bound, and the respective vertical electron affinities show values in the 20 to 60 meV range. Valence anions show distorted nonplanar structures, and one can distinguish two types of conformers. A-type conformers show puckered-ring structures and excess electrons delocalized over several C-Cl bonds [in the case of C6F6-, C-F bonds], while B-type conformers possess excess electrons essentially localized in a single C-Cl bond, which is accordingly strongly stretched and bent out of plane. For a specific anion, all conformers are close in energy (relative energies of less than 10 kJ/mol) and are connected by low-lying transition states. Accordingly, A-type and B-type conformers possess similar adiabatic electron affinities; however, their vertical detachment energies exhibit drastically different values, which should ease conformer distinction in photoelectron spectroscopy.

Beyond the WHO 2020 Classification of Female Genital Tumors: Types of Endometrial Cancer: A Pathological and Molecular Focus on Challenging Rare Variants.

Endometrial carcinoma is a heterogeneous group of malignancies characterized by distinct histopathological features and genetic underpinnings. The 2020 WHO classification has provided a comprehensive framework for the categorization of endometrial carcinoma. However, it has not fully addressed the spectrum of uncommon entities that are currently not recognized by the 2020 WHO and have only been described in the form of small case series and case reports. These neoplasms represent a real diagnostic challenge for pathologists; furthermore, their therapeutic management still remains controversial and information regarding tumor prognosis is very limited. This review aims to elucidate these lesser-known variants of endometrial carcinoma. We discuss the challenges of identifying these rare subtypes and the molecular alterations associated with them. Furthermore, we propose the need for expanded classification systems that include these variants to enhance clinical outcomes and research efforts. We believe that a better histological typing characterization of these entities may lead to more reproducible and accurate diagnoses and more personalized treatments. By raising awareness of these rare entities, we also hope to encourage further investigation and integration into clinical practice to improve patient care in endometrial carcinoma.

Special values of shifted Dirichlet series and quasi-modular forms

Multiplication by a given modular form can be viewed as a linear map on the space of modular forms. By computing its adjoint operator, one can obtain certain cusp forms whose Fourier coefficients are special values of Dirichlet series of Rankin-Selberg type associated to modular forms. We generalize this idea to the space of almost holomorphic modular forms with some cuspidal conditions. We prove that the generating function of special values of the Dirichlet series at certain points is a quasi-modular form.