Unequal Sizes Research Articles

Ultra-miniaturized HMSIW cavity-backed reconfigurable antenna diplexer employing dielectric fluids with wide frequency tuning range.

This communication presents an ultra-miniaturized two-way frequency tunable antenna diplexer based on cavity-backed slots and dielectric fluids. The proposed antenna utilizes two half-mode substrate-integrated rectangular cavities loaded with slots and fluidic pockets. The conventional size reduction is achieved by employing half-mode cavities, whereas ultra-miniaturization is obtained by applying the slots, which provides additional capacitive loading. As the cavities are of unequal sizes, a weak cross-coupling path is created between the ports to obtain high isolation (> 30 dB). The isolation is further enhanced by loading the slots. Two mechanisms are analyzed to tune the frequency bands individually or simultaneously. Firstly, the width of the slots can be altered to tune the frequency bands. However, this method involves modification of the physical dimensions of the antenna. Secondly, fluidic vias are created on the bottom plane of the cavities. These can be filled with various dielectric liquids to achieve frequency reconfigurability without altering the physical dimensions of the antenna. To demonstrate the concepts considered, the prototype of the proposed antenna was fabricated and experimentally validated. The structure has a footprint of 0.045λg2 and an isolation exceeding 33.4 dB. The operating frequencies are tunable in the range from 3.08 to 3.84GHz (lower band) and from 4.97 to 6.33GHz (upper band) by varying the dimensions of the slots whereas the operating frequencies are reconfigurable in the range from 2.74 to 3.38GHz (lower band) and from 4.54 to 5.58GHz (upper band), by employing microfluidic approach. As a result, the working frequencies may be varied in the range from 2.74 to 3.84GHz (lower band) and from 4.54 to 6.33GHz (upper band), making this antenna diplexer a competitive candidate for several communication systems. The cross-polarization levels, front-to-back ratio, and realized gain are greater than 19 dB, 18 dB, and 2. dBi, respectively. Excellent consistency is observed between full-wave simulation results and the measurement data.

Investigating the effect of finite ionic size and solvent polarization on induced charge electro-osmosis around a perfectly polarizable cylinder

Many industrially relevant microfluidic applications use concentrated solutions of macro-molecular solutes dissolved in polar solvents like water, which are typically deployed at high voltages. In this study, we investigate the effect of finite ionic sizes and solvent polarization on induced charge electro-osmotic flow around a perfectly polarizable cylinder, at high electric field strengths and ionic concentrations. The flow is actuated by means of a direct current electric field, and the step response of various flow parameters are studied numerically. Finite ionic sizes, defined through a steric factor ν, are modeled using the modified Poisson–Nernst–Planck model. Additionally, a field-dependent permittivity, characterized by a solvent polarization number A, accounts for molecular re-orientation effects. Our findings reveal an ion-size modulated decrement in charge concentration in the electrical double layer and an augmentation in the electric field. Remarkably, the resulting flow velocities increase with ion size. Solvent polarization, on the other hand, results in a marked reduction in flow velocities. Steric effects, however, dominate over a large range of parameter space (applied voltage and bulk ionic concentration) as compared to solvent polarization. Finally, we demonstrate that unequal ionic sizes result in flow asymmetries at the steady-state, thereby generating net electro-phoretic motion of suspended particles.

Generalized multi-manufacturer multi-retailer production-delivery supply chain model and its minimum cost solution policy

Production of a product at multiple sources and its deliveries to multiple destinations are a common practice in business. Minimization of the integrated total cost of performing operations and transportation considering the relevant factors such as the minimum order quantity contract, capacities of transport vehicles, and times of transportation in this supply chain is essential, in supplying products to customers at reasonable lesser prices. However, such a supply chain has received little attention in terms of minimizing the integrated total cost taking into account these related factors explicitly. So, there lies a research scope on this topic to fulfill the growing need of minimizing the cost of production-deliveries of products to meet customers’ demands fruitfully. Here we develop such a generalized mathematical model to minimize the integrated total cost of carrying out operations at manufacturers and retailers, and transporting batches (sub-lots) of lots from sources to destinations considering the mentioned realistic constraints. The integrated production-delivery flow is synchronized by delivering lots with batches of equal and/or unequal sizes. First without considering transportation costs, we obtain optimal batches to minimize the total cost of the model. Each of these optimal batches is proportionally distributed at manufacturers as supplies and at retailers as demands. Then the minimum transportation cost solution from manufacturers to retailers is incorporated to the earlier solution to obtain the final result. We illustrate this solution policy with numerical example problems. Sensitivity analyses are performed to see the effect of increasing values of parameters on the minimum total cost.

Readers' Comprehension of New Text Formats. Part I. Empirical Evidence from Russian and Research Methodology Behind It

In this article, we review a range of Russian-language studies investigating readers’ interaction with new text formats. We identify the key problems preventing proper generalization of such research data. These include: (1) the absence of agreed terminology for describing texts of new formats shared by most researchers, and (2) the lack of consistency in theoretical approaches for describing cognitive mechanisms underpinning processing of these types of texts by readers. The following factors further complicate comparison and systematization of the data obtained by different research groups: (1) the lack of explicitly described theoretical bases of the hypotheses formulated by researchers, (2) the lack of consistency in describing the putative connections between such theoretical backgrounds and empirically tested hypotheses, (3) heterogeneity of methodological approaches, (4) insufficient, unequal or unbalanced sample sizes, (5) low reliability of statistical approaches and tools used for data analysis, as well as (6) research artefacts confounding the results.

Analytical modeling of capillary force hysteresis in liquid bridge between two spheres of unequal sizes

Analytical modeling of capillary force hysteresis in liquid bridge between two spheres of unequal sizes

Genealogical asymmetry under the IM model and a two-taxon test for gene flow.

Methods for detecting gene flow between populations often rely on asymmetry in the average length of particular genealogical branches, with the ABBA-BABA test being a well known example. Currently, asymmetry-based methods cannot be applied to a pair of populations and such analyses are instead performed using model-based methods. Here we investigate genealogical asymmetry under a two-population Isolation with Migration model. We focus on genealogies where the first coalescence event is between lineages sampled from different populations, as the external branches of these genealogies have equal expected length as long as there is no post-divergence gene flow. We show that unidirectional gene flow breaks this symmetry and results in the recipient population having longer external branches. We derive expectations for the probability of this genealogical asymmetry and propose a simple statistic (Am) to detect it from genome sequence data. Am provides a two-taxon test for gene flow that only requires a single unphased diploid genome from each population, with no outgroup information. We use analytic expectations and simulations to explore how recombination, unequal effective population sizes, bidirectional gene flow and background selection influence Am and find that the statistic provides unambiguous evidence for gene flow under a continent-island history. We estimate Am for genome sequence data from Heliconius butterflies and Odocoileus deer, generating results consistent with previous model-based analyses. Our work highlights a signal of gene flow overlooked to date and provides a method that complements existing approaches for investigating the demographic history of recently diverged populations.

Settling of two rigidly connected spheres

Laboratory experiments and particle-resolved simulations are employed to investigate the settling dynamics of a pair of rigidly connected spherical particles of unequal size. They yield a detailed picture of the transient evolution and the terminal values of the aggregate's orientation angle and its settling and drift velocities as functions of the aspect ratio and the Galileo number $Ga$ , which denotes the ratio of buoyancy and viscous forces acting on the aggregate. At low to moderate values of $Ga$ , the aggregate's orientation and velocity converge to their terminal values monotonically, whereas for higher $Ga$ -values the aggregate tends to undergo a more complex motion. If the aggregate assumes an asymmetric terminal orientation, it displays a non-zero terminal drift velocity. For diameter ratios much larger than one and small $Ga$ , the terminal orientation of the aggregate becomes approximately vertical, whereas when $Ga$ is sufficiently large for flow separation to occur, the aggregate orients itself such that the smaller sphere is located at the separation line. Empirical scaling laws are obtained for the terminal settling velocity and orientation angle as functions of the aspect ratio and $Ga$ for diameter ratios from 1 to 4 and particle-to-fluid density ratios from 1.3 to 5. An analysis of the accompanying flow field shows the formation of vortical structures exhibiting complex topologies in the aggregate's wake, and indicates the formation of a horizontal pressure gradient across the larger sphere, which represents the main reason for the emergence of the drift velocity.

The Impact of an Educational Kit Based on a Virtual Laboratory in Chemistry for First-Year Middle School Students and Their Astute Thinking

The present study investigates the influence of a virtual laboratory-based learning kit on the development of clever thinking skills among middle school students engaged in chemistry education. This research responds to the increasing demand for effective and engaging pedagogical approaches within the realm of science education. The study formulates a null hypothesis asserting that there is no statistically significant difference, at the 0.05 significance level, between the average scores of students in the experimental group utilizing the virtual laboratory-based learning kit and those in the control group receiving instruction through traditional methods. An experimental design with partial control was employed, featuring an experimental group comprising 34 students and a control group consisting of 32 students from Qadisiyah Middle School for Boys. Participants were randomly selected to create an unbiased sample of 66 students. The groups were equated based on key variables, such as age, grade 6 grade point average (GPA), and prior knowledge of the subject matter. To facilitate effective learning, twenty-four daily teaching plans were meticulously constructed: the experimental group’s plans were aligned with the virtual laboratory-based educational kit, while the control group adhered to conventional instructional techniques. Subsequent statistical analysis was performed using SPSS to assess the outcomes of the two independent samples with unequal sizes. The findings revealed a significant enhancement in clever thinking skills among students in the experimental group who engaged with the virtual laboratory-based educational kit, in comparison to their counterparts in the control group. In conclusion, the results of this study indicate notable advantages associated with the incorporation of a virtual laboratory-based educational kit into chemistry instruction to foster the development of clever thinking skills among students. This research advocates for the integration of virtual laboratories into pedagogical practices and encourages further investigation across various educational levels and subjects to ascertain their broader implications for learning outcomes.

Intentional learning establishes multiple attentional sets that simultaneously guide attention.

One of the key human cognitive capabilities is to extract regularities from the environment to guide behavior. An attentional set for a target feature can be established through statistical learning of probabilistic target associations; however, whether an array of attentional sets of predictive target features can be established during intentional learning, and how they might guide attention, is not known yet. To address these questions, we had human observers perform a visual search task where we instructed them to try to use color to find their target shape. We structured the task with a fine-grained statistical regularity such that the target shapes appeared in different colors with five unique probabilities (i.e., 33%, 26%, 19%, 12%, and 5%) while we recorded their electroencephalogram. Observers rapidly learned these regularities, evidenced by being faster to report targets that appeared in higher probability colors. These effects were not due to unequal sample sizes or simple feature priming. More importantly, equivalent speeding across a set of high-probability colors suggests that the brain was driving attention to multiple targets simultaneously. Our electrophysiological results showed larger amplitude N2 posterior contralateral component, indexing perceptual attention, and late positive complex (LPC) component, indexing postperceptual processes, for targets paired with high-probability colors. These electrophysiological data suggest that the learned attentional sets change both perceptual selection and how postperceptual decisions are made. In sum, we show that multiple attentional sets can be established during intentional learning that accompanies general task acquisition and that these attentional sets can simultaneously guide attention by enhancing both perceptual attention and postperceptual processes. (PsycInfo Database Record (c) 2024 APA, all rights reserved).

Quantitative evaluation of internal cluster validation indices using binary data sets

AbstractAimsDifferent clustering methods often classify the same data set differently. Selecting the “best” clustering solution from alternatives is possible with cluster validation indices. Because of the large variety of cluster validation indices (CVIs), choosing the most suitable index concerning the data set and clustering algorithms is challenging. We aim to assess different internal clustering validation indices.MethodsArtificial binary data sets with equal‐ and unequal‐sized well‐separated a priori clusters were simulated and three levels of noise were then added. Twenty replications of each of the six types of data sets (two group sizes × three levels of noise) were created and analyzed by three clustering algorithms with Jaccard dissimilarity. Twenty‐seven clustering validation indices are evaluated including both geometric and non‐geometric indices.ResultsAlthough, in theory, all CVIs could differentiate between good and wrong classifications, only a few perform as expected with noisy data. Tau and silhouette widths proved to be the best geometric CVIs both for equal and unequal cluster sizes. Among non‐geometric indices, crispness and OptimClass performed best.ConclusionWe recommend using these best‐performing CVIs. We suggest plotting the CVI value against the number of clusters because the lack of a sharp peak means that the position of the maximum is uncertain.

MENTAL HEALTH AND COVID-19 PANDEMIC: SURVEY ON URBAN ESTATE POPULATION OF PATIALA DISTRICT

Objective: This study aimed to assess the mental health of students, private employees, and government employees in Punjab, India during the COVID-19 pandemic. The results of this study can aid healthcare professionals and policymakers in creating effective policies that promote mental well-being in the general population.Abstract: This research aimed to assess the mental health status of students, government employees, and private employees during the COVID-19 pandemic. To achieve the purpose of the study calculated descriptive statistics, such as the mean and standard deviation. Following this, a one-way analysis of variance (ANOVA) was conducted to identify any disparities between the groups. Subsequently, a post-hoc test (Scheffe Test) was administered due to unequal group sizes. The Statistical Package for Social Sciences (SPSS) Software Version-23 was utilized for all analyses, with a significance level set at 0.05. The study comprised 301 participants (N=301), consisting of 193 male and 108 female subjects. The participants were divided into three categories: government employees, private employees, and students. The Warwick-Edinburgh Mental Well-being Scale (WEMWBS) 2008 was utilized for data collection through a questionnaire survey method. The researcher created a Google form and distributed it to the participants via email and other social media platforms. The collected data was meticulously recorded and analyzed using descriptive and inferential statistical techniques. The study found that the mental health status of government employees, private employees, and students did not show significant variations. However, it was discovered that the COVID-19 pandemic had a more substantial impact on the mental health status of students compared to the well-being status of individuals in different professions. In conclusion that students were mostly affected due to the covid 19 lock down, so special considerations should be given towards the mental well-being status of students.

General weighted extropy of minimum and maximum ranked set sampling with unequal samples

. In industrial, environmental, and ecological investigations, ranked set sampling is a sample method that enables the experimenter to use the whole range of population values. The ranked set sampling process can be modified in two extremely helpful ways: maximum ranked set sampling with unequal samples and minimum ranked set sampling with unequal samples. They permit an increase in set size without too many ranking errors being introduced. In this article, we are defining general weighted extropy (GWJ) of minimum and maximum ranked set samples when samples are of unequal size (minRSSU and maxRSSU, respectively). Stochastic comparison and monotone properties have been studied under different situations. Additionally, we compare the extropy of these two sampling data with that of ranked set sampling data and simple random sampling data. Bounds of GWJ of minRSSU and maxRSSU have been obtained. Finally, we investigate the weighted discrimination information between simple random sampling, ranked set sampling, and minimum and maximum ranked set sampling with unequal sample sizes. Some results for equality of GWJ of minRSSU and maxRSSU under symmetric assumption are also obtained.

Differential growth regulates asymmetric size partitioning in Caulobacter crescentus.

Cell size regulation has been extensively studied in symmetrically dividing cells, but the mechanisms underlying the control of size asymmetry in asymmetrically dividing bacteria remain elusive. Here, we examine the control of asymmetric division in Caulobacter crescentus, a bacterium that produces daughter cells with distinct fates and morphologies upon division. Through comprehensive analysis of multi-generational growth and shape data, we uncover a tightly regulated cell size partitioning mechanism. We find that errors in division site positioning are promptly corrected early in the division cycle through differential growth. Our analysis reveals a negative feedback between the size of daughter cell compartments and their growth rates, wherein the larger compartment grows slower to achieve a homeostatic size partitioning ratio at division. To explain these observations, we propose a mechanistic model of differential growth, in which equal amounts of growth regulators are partitioned into daughter cell compartments of unequal sizes and maintained over time via size-independent synthesis.

Second type second order slope rotatable designs utilizing symmetrical unequal block arrangements with two unequal block sizes

Kim and Ko developed second order slope rotatable designs (SOSRD) of second type utilizing central composite designs (CCD), in which two numbers are used to represent the positions of star points. In this paper, we suggest second type SOSRD utilizing symmetrical unequal block arrangements (SUBA) with two unequal block sizes. In some cases, the suggested method may develop designs containing fewer design points than second type SOSRD obtained utilizing CCD, pairwise balanced designs (PBD) and balanced incomplete block designs (BIBD). The first order partial derivative's for estimated second order response variance for factors 6≤v≤15 is also obtained.

A class of nonparametric tests for the two-sample problem based on order statistics

In this paper, a new class of distribution-free statistics based on order statistics from two independent samples is introduced to test the equality of two continuous distributions. The null distributions are obtained, and the symmetry property of the proposed test statistics is studied. The exact power functions of the new class of tests under the Lehmann alternative family are derived. Extensions of the proposed class of test statistics to situations with unequal sample sizes are discussed. We also study the power performance of the proposed test under the location-shift and scale-shift alternatives using Monte Carlo simulations. We observe that the power performance of the new class of test procedures is comparable to some commonly used nonparametric tests under various scenarios, which indicates that the new class of test procedures can be a good alternative to those classic nonparametric tests for the two-sample problem.

Multiscale Simulation of Laser-Based Direct Energy Deposition (DED-LB/M) Using Powder Feedstock for Surface Repair of Aluminum Alloy.

Laser-based direct energy deposition (DED-LB/M) has been a promising option for the surface repair of structural aluminum alloys due to the advantages it offers, including a small heat-affected zone, high forming accuracy, and adjustable deposition materials. However, the unequal powder particle size during powder-based DED-LB/M can cause unstable flow and an uneven material flow rate per unit of time, resulting in defects such as pores, uneven deposition layers, and cracks. This paper presents a multiscale, multiphysics numerical model to investigate the underlying mechanism during the powder-based DED-LB/M surface repair process. First, the worn surfaces of aluminum alloy components with different flaw shapes and sizes were characterized and modeled. The fluid flow of the molten pool during material deposition on the worn surfaces was then investigated using a model that coupled the mesoscale discrete element method (DEM) and the finite volume method (FVM). The effect of flaw size and powder supply quantity on the evolution of the molten pool temperature, morphology, and dynamics was evaluated. The rapid heat transfer and variation in thermal stress during the multilayer DED-LB/M process were further illustrated using a macroscale thermomechanical model. The maximum stress was observed and compared with the yield stress of the adopted material, and no relative sliding was observed between deposited layers and substrate components.

Diversity on the American Academy of Orthopaedic Surgeons National Meeting Podium: Changes Over Two Decades.

There has been an increase in diversity initiatives regarding selecting speakers for the American Academy of Orthopaedic Surgeons (AAOS) annual meeting and courses. The purpose of this study was to determine the percentage of female or underrepresented minority (URM) speakers for instructional course lectures (ICLs) and AAOS courses over the past 2 decades including a surrogate for expertise. For 2002, 2012, and 2022, the academic and demographic information of speakers and the number of publications at the time of their speaking role were obtained and compared by sex and URM status. Owing to the unequal sample sizes between male versus female cohorts and URM versus non-URM cohorts, the Welch t -test was used. The percentage of ICL and AAOS course speakers who were female increased over time (ICL, AAOS courses): 2002 (2.6%, 3.3%), 2012 (3.9%, 6.3%), and 2022 (11.8%, 15.5%) ( P < 0.001, P < 0.001). The percentage of female AAOS fellows in these years was 2.9%, 4.7%, and 7.4%, respectively. For ICLs and AAOS course speakers, female presenters had fewer publications than male counterparts (ICL, AAOS courses): 2002 ( P < 0.001, P = 0.048), 2012 ( P = 0.003, P < 0.001), and 2022 ( P < 0.001, P < 0.001). For ICLs in 2022, URM speakers had a similar number of publications compared with non-URM speakers. In 2022, URMs comprised 6.9% of ICL speakers and 4% of AAOS fellows. For 2022 ICLs, there were no significant differences in academic institution, position, or region when compared by sex or URM status. For AAOS courses, the percentage of URM speakers increased over time: 2002 (1.1%), 2012 (4.5%), and 2022 (8.6%). For AAOS courses, URM presenters had similar publications compared with non-URM presenters in 2002 and 2022 but less in 2012 ( P = 0.027). The percentage of women and URMs presenting ICLs and AAOS courses has increased over the past 2 decades and exceeded the percentage they represent in the AAOS by over 50%. The female cohort has fewer publications, on average, than the male cohort for all years evaluated, indicating no institutional bias against female speakers.

P-514 Unequal pronucleus size is indicative of higher rates of diploidy in 3PN blastocysts

Abstract Study question What proportion of blastocysts developed from 3PN embryos are diploid, and is this associated with the relative size of the pronuclei? Summary answer Most 3PN blastocysts with even-sized pronuclei are triploid, while most 3PN blastocysts with uneven-sized pronuclei are diploid. What is known already Fertilised oocytes with three pronuclei (3PN, or tripronuclear) are generally considered unsuitable for use due to the high likelihood of triploidy, which is not compatible with an ongoing healthy pregnancy. Recent data on 3PNs with uneven-sized pronuclei (micro-3PN, or 2.1PN) indicates that many may actually be diploid if they form a good quality blastocyst. Study design, size, duration Prospective multi-centre study from October 2020 to December 2023. 81 3PN blastocysts from 69 patients were biopsied. Participants/materials, setting, methods ICSI-inseminated embryos were assessed on Day 1 and pronuclear size at 18 h post insemination was measured using EmbryoViewer software. Biopsy was performed at the blastocyst stage and genetic testing was performed using the Human Karyomap-12 SNP array to ascertain ploidy status. Pronuclei were classified as “Equal”, “Unequal” (smallest pronucleus is 61%-75% of the largest), or “Micro” (smallest pronucleus is &amp;lt; 60% of the largest). Main results and the role of chance 94% of the 3PN blastocysts with equal size pronuclei were triploid, and the remaining 6% were complex aneuploid or had genome wide uniparental disomy (n = 36). Of the 3PN blastocysts with unequal pronuclei (n = 19), 42% were triploid, whereas none of the embryos with a micro pronucleus were triploid (n = 26). Limitations, reasons for caution Only 3PN embryos that formed a good quality expanded blastocyst were biopsied. Only ICSI-inseminated embryos were included, not IVF. No 3PN embryos were transferred in the study, so any additional pregnancy and birth risks from diploid 3PN embryos are unknown. Wider implications of the findings Blastocysts that develop from 3PN oocytes with uneven pronuclei have a greater than 80% chance of diploidy and could be considered for clinical use with PGT. More data is needed to inform clinical guidelines. Trial registration number N/A

The Illusion of Randomness: Evaluating Student Sampling Performance

Randomness is a critical concept in the study of statistics, both for everyday consumers of statistical information and producers of statistical analyses. However, students at all levels do not always hold concept images that translate to non-uniform or complex sampling contexts. In this article, we explore the way statistics students relate the idea of “drawing at random” to visual sampling tasks. We collected data from approximately 1,000 college students where students attempted to click 50 points at random from shapes that included optical illusions and distractions. One task included a disc, while another included a rectangle with highlighted sectors of unequal size. The survey we administered also included a number of questions and statements to determine which events that the participants identified as random or not. We used a Kolmogorov-Smirnov test to identify how students' samples may or may not diverge from a truly random sample. Findings reveal challenges in perceiving and replicating randomness, particularly in the presence of optical illusions or constraints that interfere with a uniform or equiprobability assumption. The study highlights the complexity and difficulty in understanding randomness and correctly applying it in real-world scenarios, both among students in an introductory statistics course and among upper-level students enrolled in a statistics major.

Sample size and power calculation for testing treatment effect heterogeneity in cluster randomized crossover designs.

The cluster randomized crossover design has been proposed to improve efficiency over the traditional parallel-arm cluster randomized design. While statistical methods have been developed for designing cluster randomized crossover trials, they have exclusively focused on testing the overall average treatment effect, with little attention to differential treatment effects across subpopulations. Recently, interest has grown in understanding whether treatment effects may vary across pre-specified patient subpopulations, such as those defined by demographic or clinical characteristics. In this article, we consider the two-treatment two-period cluster randomized crossover design under either a cross-sectional or closed-cohort sampling scheme, where it is of interest to detect the heterogeneity of treatment effect via an interaction test. Assuming a patterned correlation structure for both the covariate and the outcome, we derive new sample size formulas for testing the heterogeneity of treatment effect with continuous outcomes based on linear mixed models. Our formulas also address unequal cluster sizes and therefore allow us to analytically assess the impact of unequal cluster sizes on the power of the interaction test in cluster randomized crossover designs. We conduct simulations to confirm the accuracy of the proposed methods, and illustrate their application in two real cluster randomized crossover trials.