Average Power Research Articles

A connection between tests for absolute convergence of infinite series, or how to be fair

The Ratio Test and the Root Test for absolute convergence/divergence of series of numbers ∑ n = 0 ∞ a n are frequently discussed and proved independently in Calculus courses. The Root Test is stronger (verifies convergence for more series) than the Ratio Test. This relation inspires introduction of some intermediate strength tests (stronger than the Ratio Test and weaker than the Root Test) that we call Power Mean Tests (they, in particular, include the Arithmetic Mean Test). We show the connection between the Root, the Power Mean and the Ratio Tests. We also note that all these tests are related to the test that we formulate and call Generalised f-mean Test (or Kolmogorov–Nagumo–de Finetti mean Test). We provide an example of an infinite series, where the Arithmetic Mean test is the test that should be used for convergence verification, because the Root and the Ratio Tests are not easy to apply. We conclude this work with the statement emphasising why it is ‘fair’ to include the summarising Corollary 3.1 in our Calculus course.

Categorically distinct subsets allow flexible memory selection in hybrid search.

In many everyday situations, we search our visual surroundings for any one of many memorized items held in memory, a process termed hybrid search. In some cases, only a portion of the memorized mental list is relevant within a specific visual context, thus, restricting memory search to the relevant subset would be desirable. Previous research had shown that participants largely fail to "partition" memory into several distinct subsets, on a trial-by-trial basis. However, given the known role of semantic content in long-term memory organization, we hypothesized that semantically defined subset categories might serve as a more powerful means for flexible memory selection in dynamic hybrid search situations. Experiment 1 revealed that, indeed, semantic characteristics (i.e., object category), but not perceptual features (e.g., arbitrary color), can provide a firm basis for flexible memory partitioning. Experiments 2 and 3 further showed that such memory partitioning is costless and is independent of the nature of the surrounding visual distractors (i.e., a categorically homogeneous or heterogeneous display). These findings demonstrate that confining one's memory search to a currently relevant subset of items is highly effective when the different memory subsets are defined by clear semantic categories. The results underscore the importance of conceptual information in the organization of activated long-term memory and in forming the basis for a flexible trial-by-trial memory selection. Our findings further highlight the relationship between visual search and memory search, and they may shed light on the processes contributing to a successful construction of bounded episodes in long-term memory. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

Construction of a Bi2S3/Bi0.5Na0.5TiO3 Composite Catalyst with S Vacancies for Efficient Piezo-Photocatalytic Hydrogen Production.

Photocatalytic hydrogen production with low environmental and economic costs is expected to be a powerful means to alleviate energy and environmental problems. However, how to inhibit the rapid recombination of photogenerated carriers is a challenge that photocatalytic hydrogen production has to face. In this study, the coupling of the piezoelectric effect and vacancy engineering into the photocatalytic reaction process synergistically promoted carrier separation, thereby promoting the improvement of hydrogen production performance. Specifically, the novel dual piezoelectric Bi2S3/Bi0.5Na0.5TiO3 (BS-12/BNT) piezo-photocatalyst rich in S vacancies was synthesized by an impregnation method. The hydrogen generation rate of 5% BS-12/BNT under the combined impact of light and ultrasound was up to 1019.39 μmol/g/h, which is 9.5 times higher than that of pure BNT. Various characterization analyses have confirmed that the piezoelectric-photocatalytic activity of BS/BNT composite materials is significantly improved, mainly due to the introduction of S vacancies and piezoelectric fields, which enhance the absorption of sunlight, reduce interface resistance, and so raise the photogenerated carriers' separation efficiency. In addition, the stability of BS/BNT is significantly better than that of the previously synthesized catalysts. Finally, according to the results of XPS, UV-vis, and ESR, the active groups and possible electron transfer paths generated during the piezoelectric-photocatalytic hydrogen production process were studied. This work presents a new approach to promote hydrogen production performance through the synergistic effect of the piezoelectric effect and S vacancies.

First field in the Croatian coat of arms: (re)constructing the contested symbol in online news

The sphere of new media, particularly in European post-socialist societies, often reflects controversies around the meanings of symbols related to the past. This paper analysed controversy in online news caused by the photo in which an unofficial Croatian coat of arms with a white upper left square was publicly presented. This symbol is sometimes seen as problematic since it was, besides other historical contexts, used by the Ustashe, a political movement that established the Nazi-collaborator regime during the Second World War. A qualitative analysis of 195 online news articles revealed that two general meanings are presented to the audiences. The first meaning emphasizes its totalitarian nature, while the other presents it as complex because of its multiple historical uses. Subsequent quantitative analysis of 180 articles compared four groups of online news and established differences regarding the dominant meanings of the symbol that are presented to the audiences. Croatian media predominantly present it as complex/historical. Serbian and Bosnian and Herzegovinian media present it as Ustashe, while global/other news almost fully present it as (pro)Nazi. The differences are also established with regard to content diversity and Croatian media exhibit much greater diversity in the presentation of the symbol compared to the other three groups.

Tourism as a tool for improving global education and international cooperation

The purpose of this paper is to assess the importance of tourism as a tool for improving global education and international cooperation. As a global economic phenomenon, tourism is one of the industries that contribute the most economic growth and the development of the world economy, where it also enables international cooperation by developing tourism and various activities at the global level. Tourism constitutes an important and influential sector of the economy, creating multiple uses and benefits. This sector, among other things, creates income, creates new jobs, influences the creation of international relations. The method. The empirical research was carried out on the basis of literature reviews by observing and analyzing the existing literature on the theory of sustainable tourism in the context of tourism and its importance. The conclusion. Tourism is considered as an economic activity and quite complex, becoming a powerful means of economic development of a country, therefore attention should be paid to global education, making the community aware of long-term sustainability and committing to international cooperation. Tourism today has grown into a special phenomenon. Based on its massiveness, it is accepted global industry. The global nature of tourism trends is expressed as the international transfer of ideas, information, capital and people of different cultures.

A low-cost and versatile paramagnetic bead DNA extraction method for Mycobacterium ulcerans environmental surveillance.

Buruli ulcer (BU) is a neglected tropical skin disease, with an incidence that has dramatically increased in temperate southeastern Australia over the last decade. In southeastern Australia, BU is a zoonosis with native possums the major wildlife reservoir of the causative pathogen, Mycobacterium ulcerans. Infected possums shed M. ulcerans in their excreta, and excreta surveys using PCR to screen for the presence of pathogen DNA are a powerful means to predict future areas of Buruli ulcer risk for humans. However, excreta surveys across large geographic areas require testing of many thousands of samples. The cost of commercial DNA extraction reagents used for preparing samples for PCR testing can thus become prohibitive to effective surveillance. Here, we describe a simple, low-cost method for extracting DNA from possum excreta using paramagnetic beads. The method is versatile and adaptable to a variety of other sample types including swabs collected from possum tissues and pure cultures of mycobacteria.

Convergence of a Family of Methods with Symmetric, Antisymmetric Parameters and Weight Functions

Many problems in scientific research are reduced to a nonlinear equation by mathematical means of modeling. The solutions of such equations are found mostly iteratively. Then, the convergence order is routinely shown using Taylor formulas, which in turn make sufficient assumptions about derivatives which are not present in the iterative method at hand. This technique restricts the usage of the method which may converge even if these assumptions, which are not also necessary, hold. The utilization of these methods can be extended under less restrictive conditions. This new paper contributes in this direction, since the convergence is established by assumptions restricted exclusively on the functions present on the method. Although the technique is demonstrated on a two-step Traub-type method with usually symmetric parameters and weight functions, due to its generality it can be extended to other methods defined on the real line or more abstract spaces. Numerical experimentation complement and further validate the theory.

Varying optimal power for height-standardisation of childhood weight, fat mass and fat-free mass across the obesity epidemic.

Childhood adiposity markers can be standardised for height in the form of indices (marker/heightp) to make meaningful comparisons of adiposity patterns within and between individuals of differing heights. The optimal value of p has been shown to differ by birth year, sex, age, and ethnicity. We investigated whether height powers for childhood weight and fat mass (FM) differed by birth year, sex, or age over the period before and during the child obesity epidemic in Copenhagen. Population-based cross-sectional study of 391,801 schoolchildren aged 7 years, 10 years and 13 years, born between 1930 and 1996, from the Copenhagen School Health Records Register. Sex- and age-specific estimates of the height powers for weight and FM were obtained using log-log regression, stratified by a decade of birth. For weight, amongst children born 1930-39, optimal height powers at 7 years were 2.20 (95% CI: 2.19-2.22) for boys and 2.28 (95% CI: 2.26-2.30) for girls. These increased with birth year to 2.82 (95% CI: 2.76-2.87) and 2.92 (95% CI: 2.87-2.97) for boys and girls born in 1990-96, respectively. For FM, amongst those born 1930-39, powers at 7 years were 2.46 (95% CI: 2.42-2.51) and 2.58 (95% CI: 2.53-2.63) for boys and girls, respectively, and increased with birth year reaching 3.89 (95% CI: 3.75-4.02) and 3.93 (95% CI: 3.80-4.06) for boys and girls born 1990-96, respectively. Powers within birth cohort groups for weight and FM were higher at 10 years than at 7 years, though similar increases across groups were observed at both ages. At 13 years, height powers for weight and FM initially increased with the birth year before declining from the 1970s/80s. Due to increases in the standard deviation of weight and FM during the obesity epidemic, optimal height powers needed to standardise childhood weight and FM varied by birth year, sex, and age. Adiposity indices using a uniform height power mean different things for different birth cohort groups, sexes, and ages thus should be interpreted with caution. Alternative methods to account for height in epidemiological analyses are needed.

An In-Depth Analysis of Cohesion Utilization in the English Language: Implications for Effective Communication and Textual Coherence

This study focuses on the link between coherence and the English language notion of cohesiveness. Cohesion is defined as the way in which different elements of a text or speech are linked together to create a unified and integrated whole. The study identifies the challenges in determining the appropriate level of cohesion for a given text and how factors such as audience, purpose, and context can affect cohesion. The aims of the research are to provide learners with a better understanding of cohesion in English and to demonstrate the importance of cohesion in producing clear and effective communication. The paper is divided into three sections: the first section introduces the problem, aims, scope, procedure, and hypothesis; the second section provides a detailed explanation of the definition, general meaning, models, and types of cohesion; and the third section examines lexical and grammatical cohesion in more detail. The theory argues that English language learners typically don't understand the ideas of cohesion and coherence, which leads to poor writing that is illogical and grammatically incorrect. The research methodology involves data collection from English books, analysis, comparison of essays on cohesion, and consultation with instructors of English. Ultimately, this research highlights the importance of cohesion in achieving coherence and producing effective communication in English. The practical study of grammatical cohesion conducted in the English Department of Sawa University's College of Education aimed to assess students' comprehension of linguistic phenomena such as conjunction, ellipsis, references, and substitution. The study involved 54 participants, comprising of 36 females and 18 males, who were presented with 18 different prompts and asked to identify the linguistic phenomenon present in each response. The study's analysis revealed that participants identified these linguistic phenomena differently for each prompt, with some responses predominantly identified as conjunction, while others were predominantly identified as ellipsis or references. These findings provide insight into how individuals interpret and use language and can contribute to the development of linguistic theories and models.

Making mathematics visible through narrative

The latest content and practice standards for mathematics have promoted the use of academic language and discourse in this content area. As such, the WIDA Consortium has evolved its guidelines to deepen teachers’ conceptual understanding of language in their content areas, and thus, enable them to provide more effective instruction to multilingual learners. Karen L. Terrell explores one of the primary “key language uses” in mathematics — the narrative genre. She also considers how visuals can be powerful scaffolds and means of expression for multilingual learners and discusses how visuals can be used for students to both receive and express knowledge. The use of narrative and visuals can make mathematics more accessible to all students.

Some Inequalities Involving Weighted Power Mean

Abstract In this paper, we first show some inequalities on weighted power mean. When a, b > 0, p ≥ 1and 0 <v ≤ τ< 1, we have v τ ≤ a ♯ p , v b - a ♯ v b a ♯ p , τ b - a ♯ τ b ≤ 1 - v 1 - τ \frac{v}{\tau } \le \frac{{a{\sharp _{p,v}}b - a{\sharp _v}b}}{{a{\sharp _{p,\tau }}b - a{\sharp _\tau }b}} \le \frac{{1 - v}}{{1 - \tau }} and v τ ≤ a ♯ p , v b - a ! v b a ♯ p , τ b - a ! τ b ≤ 1 - v 1 - τ . \frac{v}{\tau } \le \frac{{a{\sharp _{p,v}}b - a{!_v}b}}{{a{\sharp _{p,\tau }}b - a{!_\tau }b}} \le \frac{{1 - v}}{{1 - \tau }}. Further, we obtain the range of corresponding inequalities involving the m power form of weighted power mean in the same form as above for m ∈ ℕ+ or p ≥ m> 0, m ≤ p< 0. As further applications, we provide some inequalities about matrices and determinants, respectively.

A family of quadrature formulas with their error bounds for convex functions and applications

In numerical analysis, the quadrature formulas serve as a pivotal tool for approximating definite integrals. In this paper, we introduce a family of quadrature formulas and analyze their associated error bounds for convex functions. The main advantage of these new error bounds is that from these error bounds, we can find the error bounds of different quadrature formulas. This work extends the traditional quadrature formulas such as the midpoint formula, trapezoidal formula, Simpson's formula, and Boole's formula. We also use the power mean and Hölder's integral inequalities to find more general and sharp bounds. Furthermore, we give numerical example and applications to quadrature formulas of the newly established inequalities.

A HISTORY OF THE SELF-CONTRADICTORY NATIONALISM OF THE U.S.

This paper constructs a genealogy of American nationalism that follows major historical events and periods, from the genesis of nationalism since the country’s early state-building to the War on Terror in response to September 11th attacks in 2001. It argues that as an overarching, singular and generic term, American nationalism is paradoxical since it is a configuration of contradictory forces striving for equality and supremacy, unity and division. By organizing the discussion chronologically, the paper emphasizes how nationalism has been shaped by historical contexts. Through a critical, extensive review of relevant historiographies and scholarly research, it identifies contradictory forces that have emerged and persisted in the history of American nationalism, including civic-political nationalism and various forms of ethnic nationalism. The lens of self-contradictory nationalism contributes to nuanced understanding of American nationalism as a discourse for power struggle, meaning, and identity.

EXPERIMENTAL LABORATORY SET VIA INTERNET SYSTEM ON ELECTRICAL INSTRUMENT AND MEASUREMENT COURSE OF HIGHER VOCATIONAL CERTIFICATE PROGRAM OF RAJAMANGALA UNIVERSITY OF TECHNOLOGY ISAN, SAKON NAKHON CAMPUS

Development qualities, efficiency, and user satisfaction of the experimental laboratory set via internet system are electrical instrument and measurement course of the Higher Vocational Certificate Program of the Rajamangala University of Technology Isan, Sakon Nakhon campus. The research sample group consists of 21 first-year students in the Electronics Engineering Department, Higher Vocational Certificate Program, Rajamangala University of Technology Isan, Sakon Nakhon campus, and the choose a specific type. The research tools were the experimental laboratory set via internet system on electronic measurement tools course of Higher Vocational Certificate Program of Rajamangala University of Technology Isan, Sakon Nakhon campus., content and media production technical quality evaluation forms, academic achievement test and practice evaluation form, and user satisfaction evaluation form. Statistics used in this research were mathematical mean (x̄), standard deviation (SD), and percentage. The research results found that the experimental laboratory set via the internet system on electronic measurement tools course of Higher Vocational Certificate Program of Rajamangala University of Technology Isan, Sakon Nakhon campus have the content quality was good level (x̄ = 3.96, SD = 0.79) and the media production technical quality was good level (x̄ = 4.20, SD = 0.66).

A metalloenzyme platform for catalytic asymmetric radical dearomatization.

Catalytic asymmetric dearomatization represents a powerful means to convert flat aromatic compounds into stereochemically well-defined three-dimensional molecular scaffolds. Using new-to-nature metalloredox biocatalysis, we describe an enzymatic strategy for catalytic asymmetric dearomatization via a challenging radical mechanism that has eluded small-molecule catalysts. Enabled by directed evolution, new-to-nature radical dearomatases P450rad1-P450rad5 facilitated asymmetric dearomatization of a broad spectrum of aromatic substrates, including indoles, pyrroles and phenols, allowing both enantioconvergent and enantiodivergent radical dearomatization reactions to be accomplished with excellent enzymatic control. Computational studies revealed the importance of additional hydrogen bonding interactions between the engineered metalloenzyme and the reactive intermediate in enhancing enzymatic activity and enantiocontrol. Furthermore, designer non-ionic surfactants were found to significantly accelerate this biotransformation, providing an alternative means to promote otherwise sluggish new-to-nature biotransformations. Together, this evolvable metalloenzyme platform opens up new avenues to advance challenging catalytic asymmetric dearomatization processes involving free radical intermediates.

Health-related quality of life of people with type 1 diabetes: An IMI2 SOPHIA post hoc analysis of FUTURE and ADJUNCT-ONE.

To characterize and stratify health-related quality of life in individuals with type 1 diabetes (T1D) using body mass index (BMI) and clustering analysis. Baseline data on individuals with T1D were pooled from two studies. A post hoc analysis of health-related quality of life, measured using the 36-item Short-Form questionnaire, was performed, referenced to the 2010 US general population. Descriptive statistics were presented for the pooled cohort and per BMI category. K-means clustering was performed. One-way analysis of variance was conducted to examine differences in clinical characteristics between clusters. The pooled cohort consisted of 2256 individuals with T1D (age: 45.4 ± 15.0 years, BMI: 26.2 ± 4.6 kg/m2, diabetes duration: 22.7 ± 13.5 years). All quality-of-life domains were slightly lower than 50(the general population's mean), except for vitality. Individuals with a BMI ≥30 kg/m2 reported lower scores for bodily pain, physical functioning, general health, and vitality. A first cluster with a high and a second cluster with a low quality of life were identified, with significant differences in the mental (Cluster 1: 53.8 ± 6.8 vs. Cluster 2: 39.5 ± 10.7; p < 0.001) and physical component summary scores (Cluster 1: 49.6 ± 6.3 vs. Cluster 2: 35.2 ± 12.0; p < 0.001), which exceeded differences found between BMI categories. In our population of people living with T1D, higher BMI may have adversely impacted physical domains of quality of life, but larger differences between the high- and low-quality-of-life cluster indicate that more factors play a role.

Research-informed translation of mental strategy teaching materials into isiXhosa

Background: This article critically examines the nature of isiXhosa translations in mathematics learning materials, specifically focusing on the doubling and halving unit within the ‘South African Grade 3 Mental Starters Assessment Project (MSAP): Teacher Guide’. Teaching in home languages is encouraged in the Foundation Phase, but unfamiliar standardised isiXhosa translations in support materials often contain barriers to understanding and/or distortion in meaning.Aim: The article addresses three questions: (1) To what extent is there fidelity and alignment of the translated isiXhosa materials to the original mathematical meaning? (2) To what extent do the selected terms align with the everyday isiXhosa that learners are accustomed to? (3) What are the implications for future translation of such materials?Setting: Analysis of the isiXhosa translation of a doubling and halving teaching unit and adapted translation for use in a Grade 3 classroom in the Eastern Cape.Methods: This qualitative research uses Toury’s Descriptive Translation Studies theory.Results: The findings highlight several ambiguities and incoherent translations. The article advocates for a comprehensive approach to translation, emphasising the importance of maintaining conceptual fidelity and clarity.Conclusion: The authors suggest the need for transliteration techniques in translations to support teacher and learner access to mathematical sense-making.Contribution: This research provides insights for translators of materials and implications for teachers, proposing an approach to translation. In particular, it argues that the involvement of Foundation Phase teachers in the translation of such materials is crucial.

Effect of Diabetes Education on Complications and Diabetic Control Amongst Adult Patients with Diabetes in Madinah, Saudi Arabia.

Diabetes is a chronic condition that may become dangerous if there is insufficient insulin to help the body function properly. The proper care for diabetes depends on how well patients observe guidelines and prescriptions; consequently, patient education is critical. Poor learning may cause bad treatment and complications or other problems related to the disease. This study aims to evaluate patients' knowledge of diabetes, assigning a knowledge (K) score out of 100, and investigate the possible impact of educating patients, through general means or via healthcare professionals, on patient knowledge of diabetes control demonstrated in the absence/presence of diabetic complications. This multi-center interview-based cross-sectional study used a questionnaire in Madinah, Saudi Arabia. This study was conducted on adults with diabetes who were aged 15-80. We used the Michigan Diabetic Knowledge Test (MDKT) to assess the knowledge of patients with diabetes. This study included 364 participants. The gender distribution was 48.33% male and 51.67% female. Most of them had type 2 diabetes (T2DM) without insulin (48.63%), followed by those with T2DM on insulin (36.26%), and patients with type 1 diabetes (T1DM) (15.11%). Patients with T2DM had significantly higher K scores than patients with type 1. Additionally, T2DM non-insulin patients' k-scores significantly exceeded those with T1DM. General and healthcare education both helped increase patients' K-scores. Mostly, patients with diabetes without any complications had significantly higher knowledge compared to those having them. Lastly, regardless of whether the education was delivered by general or professional means, the effect on glycated hemoglobin (HbA1C) levels was not significant. Our study revealed that patients with T2DM exhibited higher knowledge than patients with T1DM. Furthermore, receiving education, whether by a healthcare professional or by general means, improved the knowledge levels of patients with T2DM but not patients with T1DM. Regarding diabetes complications, it was found that those with a higher level of knowledge had fewer complications. However, no evidence receiving education influenced the levels of HbA1C, neither in patients with T1DM nor T2DM.

The Effect of Cannabidiol on Performance and Post-Load Recovery among Healthy and Physically Active Individuals: A Systematic Review.

Athlete performance and post-load recovery can be considered one of the most important and actively discussed topics in professional sport. One substance aimed at improving performance is cannabidiol (CBD), which has been actively gaining popularity with several studies published in recent years. The PubMed, Scopus, and Cochrane Library databases were searched from inception to April 2024 according to PRISMA recommendations to identify studies on the effects of CBD on exercise capacity and post-load recovery. An initial search identified 901 publications, of which seven fully met the inclusion criteria. Current evidence supports a limited beneficial effect of CBD on a number of physiological parameters, such as VO2, mean power, and relative mean power. At the same time, there were limited data on the beneficial effects of CBD on strength parameters (including vertical jump, counter movement jump, one repetition max bench press, and barbell back squat) and post-load recovery. Notably, most of the studies included in the analysis were conducted between 2021 and 2024, indicating a growing interest among researchers in the use of CBD in healthy, physically active individuals. Further studies are needed to assess the safety of different CBD administration protocols in professional athletes.

In vivo dissection of the mouse tyrosine catabolic pathway with CRISPR-Cas9 identifies modifier genes affecting hereditary tyrosinemia type 1.

Hereditary tyrosinemia type 1 is an autosomal recessive disorder caused by mutations (pathogenic variants) in fumarylacetoacetate hydrolase, an enzyme involved in tyrosine degradation. Its loss results in the accumulation of toxic metabolites that mainly affect the liver and kidneys and can lead to severe liver disease and liver cancer. Tyrosinemia type 1 has a global prevalence of approximately 1 in 100,000 births but can reach up to 1 in 1,500 births in some regions of Québec, Canada. Mutating functionally related "modifier' genes (i.e. genes that, when mutated, affect the phenotypic impacts of mutations in other genes) is an emerging strategy for treating human genetic diseases. In vivo somatic genome editing in animal models of these diseases is a powerful means to identify modifier genes and fuel treatment development. In this study, we demonstrate that mutating additional enzymes in the tyrosine catabolic pathway through liver-specific genome editing can relieve or worsen the phenotypic severity of a murine model of tyrosinemia type 1. Neonatal gene delivery using recombinant adeno-associated viral vectors expressing Staphylococcus aureus Cas9 under the control of a liver-specific promoter led to efficient gene disruption and metabolic rewiring of the pathway, with systemic effects that were distinct from the phenotypes observed in whole-body knockout models. Our work illustrates the value of using in vivo genome editing in model organisms to study the direct effects of combining pathological mutations with modifier gene mutations in isogenic settings.