Analytic Method Research Articles

Generalized quadratic Gauss sums and their 2mth power mean

Abstract The main purpose of this article is to study the problem of calculating the 2mth power mean of the generalized quadratic Gauss sums, and using the analytic method and an interesting combinatorial identity to give a sharp asymptotic formula for the 2mth power mean. Thus, a new simple proof of this existing result [N. Bag, A. Rojas-León, and W. P. Zhang, On some conjectures on generalized quadratic Gauss sums and related problems, Finite Fields Appl. 86 (2023), 10213] is provided.

Kähler–Einstein metrics on families of Fano varieties

Abstract Given a one-parameter family of ℚ-Fano varieties such that the central fiber admits a unique Kähler–Einstein metric, we provide an analytic method to show that the neighboring fiber admits a unique Kähler–Einstein metric. Our results go beyond by establishing uniform a priori estimates on the Kähler–Einstein potentials along fully degenerate families of ℚ-Fano varieties. In addition, we show the continuous variation of these Kähler–Einstein currents and establish uniform Moser–Trudinger inequalities and uniform coercivity of the Ding functionals. Central to our article is introducing and studying a notion of convergence for quasi-plurisubharmonic functions within families of normal Kähler varieties. We show that the Monge–Ampère energy is upper semi-continuous with respect to this topology, and we establish a Demailly–Kollár result for functions with full Monge–Ampère mass.

Determining the Suitable Location of Constructed Wetland for the Polluted River Water Treatment Based on Analytical Hierarchy Process and Geographic Information System Analysis

The Tukad Badung River is a vital raw water source in Denpasar City and Badung Regency. Concerning the water pollution of the river, water treatment is necessary to manage the water quality. Constructed wetlands are a water treatment technology used for water purification. In this regard, information is essential regarding the appropriate location for the placement of the constructed wetland based on criteria related to the water treatment plant. The research was conducted to determine the suitability level of water treatment locations in the watershed using the Analytic Hierarchy Process method in integration with a Geographic Information System. The Geographic Information System analysis included overlaying steps of the processed and classified data from each criterion: land use, slope, and water pollution index. The Analytic Hierarchy Process method was carried out to obtain the weight of each criterion down to the sub-criteria, which were compiled through interviews with three informants from academic, government, and community representatives. Weight calculations were performed using Expert Choice 11 software to obtain weight values with a consistency ratio of < 0.1. Geographic Information System analysis using the Analytic Hierarchy Process method produces three suitable land types according to the level of suitability for water treatment locations, with constructed wetlands located in the upstream, middle, and downstream parts of the river. Information regarding suitable land is useful for planning the technical design of water treatment plants with constructed wetlands.

Research on Quality Evaluation of Climate Information Disclosure in Cement Industry

This paper discusses the current situation and framework of climate information disclosure through the review of domestic and foreign literature. Based on relevant international guidelines and Chinese policies and regulations, the evaluation system is constructed from four dimensions of governance, strategy, risk management, index and target report by using analytic hierarchy process (AHP) and content analysis method. Taking the content of climate-related information disclosure of Tianshan Stock in 2023 as an example, this paper studies the gap between domestic cement enterprises in their climate information disclosure and the global benchmark, and puts forward relevant countermeasures and suggestions to promote the improvement of the quality of climate information disclosure of listed companies in the cement industry.

Retraction Note: Analytic hierarchy process-based automatic feature weight assignment method for content-based satellite image retrieval system

Retraction Note: Analytic hierarchy process-based automatic feature weight assignment method for content-based satellite image retrieval system

Approximate analytic solution of the dissipative semiclassical Rabi model under parametric multi-tone modulations

Abstract We present an analytic method for obtaining the dynamics of the dissipative time-modulated
semiclassical Rabi model, which describes a two-level system (qubit) with time-dependent parameters, 
coupled to a single-mode bosonic field via the dipole-interaction and to
a thermal reservoir. We consider the simultaneous harmonic
modulations of the qubit transition frequency and the qubit-field coupling strength,
with arbitrary frequencies, and obtain closed analytic expressions for the
density operator under the coarse-graining approximation. Our
approximate results are in excellent ageement with exact numerical data, and
illustrate how the qubit state can be controlled in the dispersive regime by properly
adjusting the system parameters.

RELATIONSHIP BETWEEN POSTPARTUM ANXIETY AND BABY BLUES SYNDROME AT UNIVERSITAS AIRLANGGA HOSPITAL

Background: Postpartum mothers are vulnerable to mental health problems, including baby blues syndrome, which occurs in the first week. Baby blues syndrome has the potential to predict postpartum depression, and if left untreated, it can lead to more severe mental disorders. This study aims to determine the relationship between the level of postpartum maternal anxiety and the occurrence of baby blues syndrome at Universitas Airlangga Hospital. Method: This was a quantitative study with an observational analytic method and a cross-sectional design. The population in this study was mothers 1-2 days postpartum who were treated at Universitas Airlangga Hospital in December 2023. The study involved 33 postpartum mothers sampled using the consecutive sampling method. The instruments used were questionnaires, the Perinatal Anxiety Screening Scale (PASS) to measure anxiety and the Edinburgh Postnatal Depression Scale (EPDS) to measure symptoms of baby blues syndrome. The analysis method used was the chi-square test. Results: Respondents with anxiety without symptoms were 12 (36.36%), none of whom experienced baby blues syndrome. Out of 16 respondents with mild to moderate anxiety and experienced baby blues syndrome, one person (3.03%) did. And out of 5 respondents with severe anxiety and experienced baby blues syndrome, one person (3.03%). The p-value of 0.289 based on the chi-square test. Conclusion: The level of anxiety in postpartum mothers is not related to the incidence of Baby Blues Syndrome.

Addressing integration in the organization of palliative care in belgium: a multilevel ecosystems approach using the analytic hierarchy process (AHP) method

BackgroundPalliative care is becoming an essential component of healthcare, but there is insufficient research on how integration across different levels of care (micro, meso, and macro) is realized in practice. Without such integration, care may become fragmented, leading to suboptimal patient outcomes. While many studies have explored palliative care models, there is a gap in understanding how priorities for integrated care align across these levels within healthcare ecosystems. Specifically, it is unclear whether key actions at each level are shared, coordinated, and supported effectively, making it difficult to implement sustainable, cohesive care strategies. Our study aims to explore the extent to which important goals (i.e., priorities) are shared across the micro, meso, and macro levels of the palliative care ecosystem in Flanders, Belgium.MethodsWe applied a multimethod study using the analytic hierarchy process method (AHP). This consists of three sequential steps: a broad literature search and interviews with Belgian stakeholders (n = 12) to determine the criteria for the organization of integrated care; focus groups (n = 8) with patients, their relatives and caregivers to establish the completeness and relevance of the criteria; and prioritization of the criteria using a questionnaire among 305 Flemish participants (patients, relatives, caregivers and policy makers).ResultsOur findings revealed that integration is imbalanced, with priorities being most emphasized at the micro level (57%), followed by the meso (29%) and macro (14%) level. Functional enablers dominate at the macro (80%) and meso organizational level (67%), while normative enablers are emphasized at the meso professional (67%) and micro level (75%). Effective palliative care requires vertical coordination of these enablers: for instance, transparent communication with patients at the micro level depends on cross-organizational information exchange at the meso level, supported by a unified data system at the macro level.ConclusionAchieving integrated palliative care requires deliberate alignment of priorities across all levels of the ecosystem. While each level plays a unique role, palliative care is comprehensive and effective only by sharing both functional and normative enablers across micro, meso, and macro level.

The Influence of Personal Protective Equipment (PPE) Usage, Age, Work Tenure on Workplace Accidents

Workplace accidents can reduce productivity, which occurs as a result of unsafe actions and unsafe conditions in the Small and Medium Enterprises (SMEs) of leather tanning in Magetan. Workplace accidents could be caused by workes low awareness of wearing Personal Protective Equipment (PPE), as well as factors like age and work tenure on workplace accidents in the leather tanning SMEs in Magetan 2024. The research design employed an observational analytic method with a Cross-Sectional approach. The sample size consisted 66 people out of a population of 190, selected through proportional random sampling. The variables of PPE use, age, and work tenure, which were collected through observation and interviews, were then processed and analyzed using the Spearman Correlation statistical test (r2). The results indicated that the use of PPE, including masks,gloves, and boots, was at 36,4%, the proportion of workers aged over 30 years was 54,5%, and those with a work tenure over 5 years was 59,1%. The analysis showed that PPE use (p=0.000) and age (p=0.035) had an impact on workplace accidents, with a correlation value of p=0.232 more than 0.05. The study concluded that the use of PPE and the age of workers in the leather tanning SMEs in Magetan influenced workplace accidents. It is recommended that management provide complete PPE such as masks, boots, gloves and conduct regular monitoring of PPE use conditions. Additionally, workers should use PPE according to standars while performing their duties.

Using Poetic Assemblage to Trouble Stigma Associated With Perinatal Drug Use

The concept of assemblage has a long history in both the arts and social sciences. Assemblage thinking is particularly useful for critical scholars to engage with complex phenomena, such as drug use and stigma. Analytic methods that support assemblage thinking through the construction, deconstruction, and reconstruction of data-based assemblages are needed. This paper describes a qualitative analytic method, poetic assemblage, that merges the arts and social sciences to support assemblage thinking. I demonstrate its utility by presenting its application to data gathered on the stigma associated with perinatal drug use. Poetic assemblage, a form of poetic inquiry, uses disparate data sources to create temporary constructions that allow the researcher to make and remake connections and relationships across human, nonhuman, and discursive agents. The aim of this paper is to demonstrate how this method can be used to support assemblage thinking and mid-level theorizing around complex and dynamic phenomena. The method involves the evolvement of constructed, deconstructed, and reconstructed research poems. This process creates a liminal space for the researcher to engage with multiple possibilities and allows for a focus on emergent questions rather than on identifying simple answers. Using a series of studies on how healthcare and social services are provided to pregnant and parenting people who use drugs (PPPWUD), I describe my initial use of poetic inquiry in data analysis and my subsequent recognition of its limitations in supporting assemblage thinking. I then demonstrate both the construction and reconstruction of assemblage poems as well as provide examples of analytic insights on structural stigma that were illuminated from the process. While I demonstrate its application to a specific form of stigma, I am proposing the method's utility for imagining new possibilities, identifying emergent questions, and deepening theorizing for any complex social issue.

Personalized Data Insights: How­­ Machine Learning is Revolutionizing Everyday Business Decisions

The rise of machine learning has fundamentally transformed the way businesses approach decision-making, particularly in the realm of data analytics. In today’s data-driven landscape, organizations are not just gathering information—they’re using advanced algorithms to turn raw data into personalized, actionable insights that drive business strategy. Machine learning enables businesses to go beyond surface-level trends and dig deeper into customer behavior, operational inefficiencies, and market dynamics. This technology is revolutionizing everyday business decisions by delivering real-time, data-driven intelligence that is specifically tailored to each business's unique needs. By leveraging machine learning, businesses can analyze massive datasets, uncover hidden patterns, and make predictions that were previously unimaginable with traditional analytics methods. One of the key benefits of machine learning is its ability to personalize data insights, offering businesses a clearer, more detailed understanding of their customers and operations. It empowers companies to make more accurate decisions in marketing, product development, customer service, and beyond, leading to improved efficiency, customer satisfaction, and overall business performance. This article explores the transformative role of machine learning in generating personalized data insights and its profound impact on everyday business decisions. It highlights how this technology can improve decision-making processes, enhance customer experiences, and drive more effective business strategies through real-time analysis and prediction. Through practical examples, we will demonstrate how businesses across various sectors are already using machine learning to revolutionize their operations and improve outcomes.

The combination of CDX2 expression status and tumor-infiltrating lymphocyte density as a prognostic factor in adjuvant FOLFOX-treated patients with stage III colorectal cancers.

Colorectal carcinomas (CRCs) with caudal-type homeobox 2 (CDX2) loss are recognized to pursue an aggressive behavior but tend to be accompanied by a high density of tumor-infiltrating lymphocytes (TILs). However, little is known about whether there is an interplay between CDX2 loss and TIL density in the survival of patients with CRC. Stage III CRC tissues were assessed for CDX2 loss using immunohistochemistry and analyzed for their densities of CD8 TILs in both intraepithelial (iTILs) and stromal areas using a machine learning-based analytic method. CDX2 loss was significantly associated with a higher density of CD8 TILs in both intraepithelial and stromal areas. Both CDX2 loss and a high CD8 iTIL density were found to be prognostic parameters and showed hazard ratios of 2.314 (1.050-5.100) and 0.378 (0.175-0.817), respectively, for cancer-specific survival. A subset of CRCs with retained CDX2 expression and a high density of CD8 iTILs showed the best clinical outcome (hazard ratio of 0.138 [0.023-0.826]), whereas a subset with CDX2 loss and a high density of CD8 iTILs exhibited the worst clinical outcome (15.781 [3.939-63.230]). Altogether, a high density of CD8 iTILs did not make a difference in the survival of patients with CRC with CDX2 loss. The combination of CDX2 expression and intraepithelial CD8 TIL density was an independent prognostic marker in adjuvant chemotherapy-treated patients with stage III CRC.

Equivalent spring-like system for two nonlinear springs in series: application in metastructure units design

AbstractThe paper deals with the problem of design of unit in auxetic metastructure. The unit is modeled as a two-part spring-like system where each part is with individual stiffness. To overcome the problem of analyzing of each of parts separately, the equivalent spring is suggested to be introduced. In the paper, a method for obtaining the equivalent elastic force of the unit is developed. The method is the generalization of the procedure suggested for substitution of a hard and a soft spring in series with an equivalent one. The nonlinearity of original springs is of quadratic order. As a results, it is obtained that the equivalent elastic force for two equal springs remains of the same type as of the original springs (soft or hard). For two opposite type springs in series with equal coefficients, the equivalent force is soft. The method is applicable for any hard and soft nonlinear springs or spring-like systems. Thus the hexagonal auxetic unit which contains a soft and a hard part in series is analyzed. In the paper, a new analytic method for determination of the frequency of vibration for the unit under action of a constant compression force acting along the unit axis is introduced. The method is applied for units which contain two parts: hard–hard, soft–soft, hard–linear, soft–linear and opposite. The obtained approximate vibration results are compared with numerically obtained ones and show good agreement. The advantage of the method is its simplicity as it does not require the nonlinear equation of motion to be solved.

Differentiating neurodegenerative diseases based on EEG complexity

Neurodegenerative diseases are common causes of impaired mobility and cognition in the elderly. Among them, tauopathies and α-synucleinopathies were considered. The neurodegenerative processes and relative differential diagnosis were addressed through a qEEG non-linear analytic method. Study aims were to test accuracy of the power law exponent β applied to EEG in differentiating neurodegenerative diseases and to explore differences in neuronal connectivity among different neurodegenerative processes based on β. N = 230 patients with a diagnosis of tauopathy or α-synucleinopathy and at least one artifact-free EEG recording were selected. Periodogram was applied to EEG signal epochs from continuous recordings. Power law exponent β was determined by the slope of the signal power spectrum versus frequency in logarithmic scale. A data-driven clustering based on β values was performed to identify independent subgroups. Data-driven clustering based on β differentiated tauopathies (overall lower β values) from α-synucleinopathies (higher β values) with high sensitivity and specificity. Tauopathies also presented lower values in the correlation coefficients matrix among frontal sites of recording. In conclusion, significant differences in β values were found between tauopathies and α-synucleinopathies. Hence, β is proposed as a possible biomarker of differential diagnosis and neuronal connectivity.

Inflammation biomarkers and neurobehavioral performance in rural adolescents.

Systemic inflammation has been associated with lower neurobehavioral performance in diverse populations, yet the evidence in adolescents remains lacking. Cytokines can alter neural network activity to induce neurocognitive changes. This work seeks to investigate the association between inflammation and neurobehavior in adolescents living in a rural region of Ecuador. We examined 535 adolescents in rural communities of Ecuador (ESPINA study), 508 of which had neurobehavioral assessments (NEPSY-II) and circulating plasma levels of inflammatory markers (CRP, IL-6, TNF-⍺, sICAM-1, sVCAM-1, SAA, and sCD14). Associations between inflammatory biomarker concentrations and neurobehavioral scores were examined using adjusted bivariate semi-parametric models with generalized estimating equations. A partial least square regression approach was used to create composite variables from multiple inflammation biomarkers and model their association with cognitive outcomes. Higher sCD14 and TNF-α concentrations were significantly associated with lower social perception scores, by -0.47 units (95% CI: -0.80, -0.13) and -0.42 (-0.72, -0.12) for every 50% increase in inflammatory marker concentration, respectively. Similarly, every 50% increase in the inflammation summary score was associated with a significantly lower Social Perception score by -0.11 units (-0.19, -0.03). A unit increase in inflammatory composites of seven markers were associated with lower scores in language (-0.11 units, p=0.04), visuospatial processing (-0.15, p= 0.09), and social perception (-0.22, p=0.005) domains. Higher levels of inflammation were associated with lower neurobehavioral performance in adolescents, especially with social perception. In addition, using a robust analytic method to examine an association between a composite inflammatory variable integrating seven markers led to additional findings, including the domains of language and visuospatial processing. A longitudinal follow-up of such investigations could unveil potential changes in inflammation-neurobehavior performance links through developmental stages and intervention opportunities.

Evaluation system of vocational education construction in China based on linked TOPSIS analysis

In response to the task of vocational education reform in the new era, in order to cultivate innovative skilled talents, it is necessary to improve traditional evaluation methods to enhance their efficiency. This study proposes an evaluation model for vocational education construction that combines grey relational analysis and approximate ideal point method (TOPSIS). By selecting indicators and combining subjective analytic hierarchy process and objective entropy weight method for weight allocation, the weights of the indicators are determined using subjective analytic hierarchy process and objective entropy weight method. Through experimental analysis, the results showed that among the 11 analysis indicators, the weight of policy environment indicators was the highest at 0.124, while the weight of employment rate and contract signing rate indicators was the lowest at 0.050. The above results indicate that the TOPSIS comprehensive evaluation system based on grey correlation analysis has better application effects in practical scenarios and is more suitable for the development requirements of vocational education.

Comprehensive evaluation of DC-DC converters based on analytic hierarchy process-entropy method

In order to more comprehensively compare a series of DC-DC converters with similar topological structures and functions and achieve optimal selection, a comprehensive evaluation method for DC-DC converter topology based on hierarchical analysis-entropy method is proposed. By summarizing the common performance indicators of DC-DC converters, a hierarchical evaluation index system is constructed. The indicators in the index system are weighted by the hierarchical analysis method and the abstract value method, respectively, and the combined weight is obtained by adopting a strategy focusing on the hierarchical analysis method. The linear weighted synthesis method is further used to obtain the score of each DC-DC converter. Finally, taking 11 D2DC-DC converter topologies with the same voltage gain as an example, the proposed method is used for comprehensive evaluation, and the feasibility of the evaluation results is analyzed.

Influence of modes of communication on public participation in Laikipia County, Kenya

This study investigates the impact of communication modes on enhancing public participation in Laikipia County, Kenya. The objective of the study was to examine how different communication channels affect citizen involvement in government-led development processes. Public participation is crucial for fostering democratic governance and equitable development. However, in Kenya, achieving substantial public engagement has been challenging, partly due to the use of ineffective communication channels. This study hypothesizes that such channels hinder meaningful public participation. To explore this, a hybrid analytics method was employed, combining quantitative and qualitative approaches, to assess how various communication modes influence public engagement. The research utilized a dataset comprising 384 respondents collected between June and July 2024. Data analysis, completed in July 2024, revealed several that different modes of communication significantly affect the level of public participation, influencing how well citizens receive and comprehend information about development initiatives. Channels that facilitate clearer, more direct communication leads to higher levels of understanding and engagement among the public. Effective communication channels are essential for fostering meaningful public involvement, as they impact citizens' responses and behaviours towards development activities. These findings underscore the importance of utilizing effective communication strategies to enhance public participation in development processes. The study contributes to a better understanding of how communication methods can be optimized to support democratic engagement and improve development outcomes in Kenya.

The role of age and sex in non-linear dilution adjustment of spot urine arsenic

BackgroundPrevious research introduced V-PFCRC as an effective spot urinary dilution adjustment method for various metal analytes, including the major environmental toxin arsenic. V-PFCRC normalizes analytes to 1 g/L creatinine (CRN) by adopting more advanced power-functional corrective equations accounting for variation in exposure level. This study expands on previous work by examining the impacts of age and sex on corrective functions.MethodsLiterature review of the effects of sex and age on urinary dilution and the excretion of CRN and arsenic. Data analysis included a Data Set 1 of 5,752 urine samples and a partly overlapping Data Set 2 of 1,154 combined EDTA blood and urine samples. Both sets were classified into age bands, and the means, medians, and interquartile ranges for CRN and TWuAs in uncorrected (UC), conventionally CRN-corrected (CCRC), simple power-functional (S-PFCRC), sex-aggregated (V-PFCRC SA), and sex-differentiated V-PFCRC SD modes were compared. Correlation analyses assessed residual relationships between CRN, TWuAs, and age. V-PFCRC functions were compared across three numerically similar age groups and both sexes. The efficacy of systemic dilution adjustment error compensation was evaluated through power-functional regression analysis of residual CRN and the association between arsenic in blood and all tested urinary result modes.ResultsSignificant sex differences in UC and blood were neutralized by CCRC and reduced by V-PFCRC. Age showed a positive association with blood arsenic and TWuAs in all result modes, indicating factual increments in exposure. Sex-differentiated V-PFCRC best matched the sex-age kinetics of blood arsenic. V-PFCRC formulas varied by sex and age and appeared to reflect urinary osmolality sex-age-kinetics reported in previous research.V-PFCRC minimized residual biases of CRN on TWuAs across all age groups and sexes, demonstrating improved standardization efficacy compared to UC and CCRC arsenic.InterpretationSex differences in UC and CCRC arsenic are primarily attributable to urinary dilution and are effectively compensated by V-PFCRC. While the sex and age influence on V-PFCRC formulas align with sex- and age-specific urinary osmolality and assumed baseline vasopressor activities, their impact on correction validity for entire collectives is minimal.ConclusionThe V-PFCRC method offers a robust correction for urinary arsenic dilution, significantly reducing systemic dilution adjustment errors. Its application in various demographic contexts enhances the accuracy of urinary biomarker assessments, benefiting clinical and epidemiological research. V-PFCRC effectively compensates for sex differences in urinary arsenic. Age-related increases in TWuAs are exposure-related and should be additionally accounted for by algebraic normalization, covariate models, or standard range adjustments.

The Relationship Between Physical And Mental Workload On Job Fatigue In Maxim Car Drivers In Kupang City In 2024

Transportation is a system consisting of certain facilities along with the flow and control system that allows people or goods to move from one place to another efficiently at any time to support human activities. Indonesia as a developing country certainly has a very rapid development of services in the fields of land, sea and air transportation. Transportation owned by the Indonesian Nation certainly has innovations from past to present in order to advance transportation services, one of which is an online provider company. Online transportation companies offer transportation services such as online motorcycle taxis, online taxis, delivery of goods, food delivery and so on, thus making this service in demand by many people. Likewise in Kupang City where there are several online transportation options, one of which is Maxim car transportation which has the advantage of being quite cheap. The high demand for Maxim online transportation in Kupang City has an impact on the fatigue experienced by online transportation drivers. One of them is also felt by Maxim Mobil drivers. Based on the researcher's initial survey of Maxim drivers in Kupang city, fatigue often occurs in Maxim Car drivers due to the increase in Maxim Car users in Kupang City. This type of research is quantitative using analytic survey method and cros sectional research design. The sample in this study amounted to 81 respondents from a total population of 430 drivers selected using accidental sampling method. The results showed that there was no significant relationship between physical load and work fatigue and there was a significant relationship between mental load and fatigue in maxim car drivers in Kupang City.