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Connectedness and Compactness via Subspace Mixed M-Topologies 通过子空间混合 M 拓扑实现连通性和紧凑性
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-07-05 DOI: 10.1007/s40010-024-00884-w
Md Mirazul Hoque, Baby Bhattacharya, Binod Chandra Tripathy
{"title":"Connectedness and Compactness via Subspace Mixed M-Topologies","authors":"Md Mirazul Hoque,&nbsp;Baby Bhattacharya,&nbsp;Binod Chandra Tripathy","doi":"10.1007/s40010-024-00884-w","DOIUrl":"10.1007/s40010-024-00884-w","url":null,"abstract":"<div><p>In the present article, we present how M-connectedness differs from similar concepts in general topology, and the notion of closed subspace mixed M-topology in mixed M-topological space by extending the concept of closed subspace M-topology. We also define the notions of M-connectedness and M-compactness on mixed M-topological spaces. We investigate different properties of M-connectedness and M-compactness via two subspace mixed M-topologies.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"335 - 343"},"PeriodicalIF":0.8,"publicationDate":"2024-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-024-00884-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141551662","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Effective Estimation Strategy for Population Mean over Successive Sampling of h Occasion 对 h 次连续取样的总体平均值的有效估计策略
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-07-04 DOI: 10.1007/s40010-024-00887-7
A. K. Sharma, Mohd Irfan, A. K. Singh
{"title":"An Effective Estimation Strategy for Population Mean over Successive Sampling of h Occasion","authors":"A. K. Sharma,&nbsp;Mohd Irfan,&nbsp;A. K. Singh","doi":"10.1007/s40010-024-00887-7","DOIUrl":"10.1007/s40010-024-00887-7","url":null,"abstract":"<div><p>Two-occasion sampling might only provide a snapshot of the phenomenon under investigation. Extending to h occasions allows researchers to capture long-term trends, patterns, and changes that may emerge over time. In h-occasion successive sampling, the effective estimation of population mean is an important factor for agriculture, socioeconomic, pandemics surveys when reliable estimates are required at the h-th occasion (recent-occasion). A difference-type model of an estimator is suggested for the estimation which is escorted with the information on two auxiliary variables. The optimal estimator is the combination of the matched and unmatched sample units in the h-occasion successive sampling. Empirical studies with the competent natural mean estimator and difference type estimator based on bias and mean square errors have been demonstrated in the estimator's efficiency context. A data analysis has been conducted for the applicability to the suggested model. The approach of this work provides valuable insights into long-term trends, developmental trajectories, causal relationships, and the dynamic nature of the real-world problems.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"279 - 285"},"PeriodicalIF":0.8,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141551664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rough Statistical Convergent Functions Defined on Amenable Semigroups 在可调和半群上定义的粗糙统计收敛函数
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-06-28 DOI: 10.1007/s40010-024-00881-z
Erdinç Dündar, Uǧur Ulusu
{"title":"Rough Statistical Convergent Functions Defined on Amenable Semigroups","authors":"Erdinç Dündar,&nbsp;Uǧur Ulusu","doi":"10.1007/s40010-024-00881-z","DOIUrl":"10.1007/s40010-024-00881-z","url":null,"abstract":"<div><p>In the presented paper, we present the concept of rough statistical convergence and the set of rough statistical limit points (<span>(st-text {LIM}^r h)</span>) for functions defined on discrete countable amenable semigroups (DCASG) with some properties such as boundedness, closedness and convexity. Then, for functions defined on DCASG, the relationships between <span>(st-text {LIM}^r h)</span> and statistical cluster points are discussed</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"317 - 323"},"PeriodicalIF":0.8,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507846","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dufour Effect on Chemically Reacting Casson Fluid Flow Over a Nonlinearly Stretching Sheet with Radiation Absorption 辐射吸收非线性拉伸片上化学反应卡松流体流动的杜富尔效应
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-06-27 DOI: 10.1007/s40010-024-00883-x
A. P. Baitharu, S. N. Sahoo, K. Swain, G. C. Dash
{"title":"Dufour Effect on Chemically Reacting Casson Fluid Flow Over a Nonlinearly Stretching Sheet with Radiation Absorption","authors":"A. P. Baitharu,&nbsp;S. N. Sahoo,&nbsp;K. Swain,&nbsp;G. C. Dash","doi":"10.1007/s40010-024-00883-x","DOIUrl":"10.1007/s40010-024-00883-x","url":null,"abstract":"<div><p>We present an analysis of the steady two-dimensional flow of chemically reacting and electrically conducting Casson fluid over a permeable flat stretching sheet. The flow is subjected to nonlinear space- dependent stretching as well as magnetic field intensity. The presence of a transverse magnetic field and a saturated porous medium result in the formation of two volumetric body forces that act on the flow field. The consideration of the diffusion-thermos effect (Dufour effect), accounts for additional heat flux due to the concentration gradient. The presence of viscous instability is controlled by introducing Casson fluid and suction at the plate; the less Casson fluidity and the greater the Dufour effect accelerate thermal energy transfer; and an increase in the magnitude of skin friction leads to progressive thinning of the boundary layer, which is required to maintain laminarity of the considered flow.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"325 - 333"},"PeriodicalIF":0.8,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-024-00883-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507847","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The New Solar Radiation Estimation Models Using Different Weight Functions in the Moving Least Squares Approach 移动最小二乘法中使用不同加权函数的新型太阳辐射估算模型
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-06-20 DOI: 10.1007/s40010-024-00880-0
Ayse Gul Kaplan
{"title":"The New Solar Radiation Estimation Models Using Different Weight Functions in the Moving Least Squares Approach","authors":"Ayse Gul Kaplan","doi":"10.1007/s40010-024-00880-0","DOIUrl":"10.1007/s40010-024-00880-0","url":null,"abstract":"<div><p>In this study, moving least squares approach (MLSA) is used for solar radiation (SR) estimation in the selected region. While developing new models with the MLSA, three different weight functions which are Gaussian, cubic spline and Wendland are used. The compatibility of some modified Angström-type equations were tested to estimate of monthly average daily global SR at selected region. The most suitable equation was found by comparing with the values measured and obtained from the equation. In this paper, six different statistical error analysis tests are used in order to compare the performance of new proposed models. According to the results obtained in the selected region, the weight function for which the best performance values are obtained is the cubic spline weight function.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"309 - 315"},"PeriodicalIF":0.8,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-024-00880-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141507848","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dual Hybrid Numbers and Their Hybrid Matrix Representations 二元混合数及其混合矩阵表示法
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-06-13 DOI: 10.1007/s40010-024-00878-8
Anıl Altınkaya, Mustafa Çalışkan
{"title":"Dual Hybrid Numbers and Their Hybrid Matrix Representations","authors":"Anıl Altınkaya,&nbsp;Mustafa Çalışkan","doi":"10.1007/s40010-024-00878-8","DOIUrl":"10.1007/s40010-024-00878-8","url":null,"abstract":"<div><p>Hybrid numbers are introduced as a linear combination of complex, dual and hyperbolic numbers, where hybrid units satisfy <span>(i^{2}=-1)</span>, <span>(epsilon ^{2}=0)</span> and <span>(h^{2}=1)</span>, respectively. The main motivation of this study is to present dual hybrid numbers and dual hybrid matrices. In this context, we first give some results of hybrid numbers related to complex and hyperbolic numbers. Afterward, we define hybrid matrix representation of a dual hybrid matrix by introducing dual hybrid matrices whose elements consist of dual hybrid numbers. Since dual hybrid numbers are not commutative, it is necessary to examine the right and left eigenvalues of dual hybrid matrices separately. In this article, we focus on the right eigenvalues of dual hybrid matrices and give some of their properties. Finally, we provide hybrid matrix representations of dual hybrid numbers and support our results with an example</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"301 - 307"},"PeriodicalIF":0.8,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141347410","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigation on Electrical Discharge Machining Parameters of Aluminium7075/Boron Carbide/Titanium Diboride Hybrid Composites by Grey Relational Analysis 通过灰色关系分析研究铝 7075/碳化硼/二硼化钛（Aluminium7075/Boron Carbide/Titanium Diboride Hybrid Composites）混合复合材料的放电加工参数
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-05-29 DOI: 10.1007/s40010-024-00879-7
M. Vimal Raja, K. Manonmani, A. Felix Sahayaraj
{"title":"Investigation on Electrical Discharge Machining Parameters of Aluminium7075/Boron Carbide/Titanium Diboride Hybrid Composites by Grey Relational Analysis","authors":"M. Vimal Raja,&nbsp;K. Manonmani,&nbsp;A. Felix Sahayaraj","doi":"10.1007/s40010-024-00879-7","DOIUrl":"10.1007/s40010-024-00879-7","url":null,"abstract":"<div><p>In this study, electrical discharge machining (EDM) was performed on aluminum 7075 reinforced with boron carbide (9 wt%) and titanium diboride (3 wt%) materials. The composites were manufactured via a stir-casting process. The experiments were planned according to the Taguchi design of experiments, and analysis of variance (ANOVA) was used to study the effect of the output parameters on the input parameters. Scanning electron microscopy was used to study the machinability characteristics of the machined surfaces. Finally, the output was optimized using grey relational analysis (GRA), and a confirmation test was conducted to validate the results. The results revealed that the optimal process parameters were input current (<i>IP</i>) = 3 A, pulse-on-time (<i>Ton</i>) = 75 μs, and gap voltage (<i>V</i>) = 50 V. Confirmation experiments corroborated the effectiveness of the GRA-optimized parameters, yielding an enhancement of GRG (grey relational grade) values. Current (<i>IP</i>) emerged as the most significant parameter, contributing 79.45% to the variance, followed by <i>Ton</i> at 8.23% and gap voltage at 4.06%. It was observed that surfaces machined under the optimal process parameters exhibited minimal unevenness compared to surfaces machined under initial and higher-level conditions.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 3","pages":"287 - 299"},"PeriodicalIF":0.8,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-024-00879-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141189325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Strongly Clean Semiring 强烈清洁的半成品
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-04-28 DOI: 10.1007/s40010-024-00875-x
D. Das, S. Kar
{"title":"Strongly Clean Semiring","authors":"D. Das,&nbsp;S. Kar","doi":"10.1007/s40010-024-00875-x","DOIUrl":"10.1007/s40010-024-00875-x","url":null,"abstract":"<div><p>In this paper, we study the concept of strongly clean semiring. Let <i>S</i> be a semiring. An element <span>(ain S)</span> is called strongly clean if <span>(a = e + u)</span> with <i>e</i> an idempotent in <i>S</i> and <i>u</i> a unit in <i>S</i> such that <span>(eu=ue)</span>. A semiring <i>S</i> is said to be strongly clean if every nonzero element of <i>S</i> is strongly clean. We mainly study the notion of strongly clean semiring and obtain some important characterizations of strongly clean semiring in connection with exchange semiring, antisimple semiring and inverse semiring.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 2","pages":"249 - 258"},"PeriodicalIF":0.8,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140810843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bias Correction and Trend Analysis of Temperature and Rainfall in Eastern India 印度东部气温和降雨量的偏差修正与趋势分析
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-04-21 DOI: 10.1007/s40010-024-00876-w
Rajiv Kumar Srivastava, Biplab Sadhukhan, Arun Chakraborty, Rabindra Kumar Panda
{"title":"Bias Correction and Trend Analysis of Temperature and Rainfall in Eastern India","authors":"Rajiv Kumar Srivastava,&nbsp;Biplab Sadhukhan,&nbsp;Arun Chakraborty,&nbsp;Rabindra Kumar Panda","doi":"10.1007/s40010-024-00876-w","DOIUrl":"10.1007/s40010-024-00876-w","url":null,"abstract":"<div><p>In this study trend analysis and bias correction have been done for dry (January–May) and wet (June–September) seasons under two future climate period 2021–2050 and 2051–2080 with respect to the current climate period 1980–2012 in Eastern India. The different representative concentration pathways (RCPs) of 2.6, 4.5, 6.0, and 8.5 were used to assess the future trend of the study area. Results indicate that the increasing RCP increases temperature (maximum and minimum) in all regions due to higher radiative forces (4–8.5 W/m<sup>2</sup>) with respect to the baseline temperature during the period 2051–2080. Further, the bias-corrected rainfall has a declined trend with respect to baseline, and RCP’s values for both the time slices (2021–2050 and 2051–2080) showed less scattering in the amount of rainfall for the wet season in comparison to the dry season.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 2","pages":"169 - 184"},"PeriodicalIF":0.8,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140630354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Analytical Approach to Realize Hypersecant Optical Soliton Pulse Based HALF-ADDER 实现基于 HALF-ADDER 的超secant 光孤子脉冲的分析方法
IF 0.8 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2024-04-21 DOI: 10.1007/s40010-024-00874-y
Chinmoy Mukherjee, Sagarika Mandal, Abhijit Sinha
{"title":"An Analytical Approach to Realize Hypersecant Optical Soliton Pulse Based HALF-ADDER","authors":"Chinmoy Mukherjee,&nbsp;Sagarika Mandal,&nbsp;Abhijit Sinha","doi":"10.1007/s40010-024-00874-y","DOIUrl":"10.1007/s40010-024-00874-y","url":null,"abstract":"<div><p>In this paper, we present a new method to perform all optical HALF ADDER by using Hypersecant Optical Soliton Pulse (HOSP). To implement this logic operation, we use four HOSP, out of which two are used as a form of signal pulse and other two as triggering pulse. Soliton pulse interacts with each other with a definite phase relationship and then output changes in accordance with applied condition. In this way we get output logic as a HALF-ADDER circuit. The logic GATE concept by using soliton is a new idea on nonlinear Photonics. The method of soliton superposition is simulated by MATLAB simulator and the result confirms the logical truth table for HALF ADDER.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 2","pages":"269 - 278"},"PeriodicalIF":0.8,"publicationDate":"2024-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140624881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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