Proceedings of the National Academy of Sciences, India Section A: Physical Sciences最新文献

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Multi-Dimensional Sharp Hardy-Type Inequalities with Variants 具有变异体的多维尖锐hardy型不等式
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-10-27 DOI: 10.1007/s40010-025-00938-7
Atanu Manna
{"title":"Multi-Dimensional Sharp Hardy-Type Inequalities with Variants","authors":"Atanu Manna","doi":"10.1007/s40010-025-00938-7","DOIUrl":"10.1007/s40010-025-00938-7","url":null,"abstract":"<div><p>In this paper, we prove various sharp multi-dimensional Hardy-type integral inequalities such as Copson, Leindler and Bennett inequalities with variants. We also achieve several new multi-dimensional sharp inequalities of Hardy-type and their variants by using higher order generalized <i>Erdélyi-Kober</i>, <span>((k, nu ))</span>-<i>Riemann-Liouville</i>, and <span>((k, nu ))</span>-<i>Weyl</i> fractional integral operators. We consider an approach of scale distribution defined by a probability density function to get the desired results.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 4","pages":"389 - 400"},"PeriodicalIF":1.2,"publicationDate":"2025-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730208","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
Effective Healthcare Traffic Management Through Machine Learning-Enabled Network Slicing 通过支持机器学习的网络切片进行有效的医疗流量管理
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-10-27 DOI: 10.1007/s40010-025-00940-z
Monika Dubey, Ashutosh Kumar Singh, Aditya Bhushan, Richa Mishra
{"title":"Effective Healthcare Traffic Management Through Machine Learning-Enabled Network Slicing","authors":"Monika Dubey,&nbsp;Ashutosh Kumar Singh,&nbsp;Aditya Bhushan,&nbsp;Richa Mishra","doi":"10.1007/s40010-025-00940-z","DOIUrl":"10.1007/s40010-025-00940-z","url":null,"abstract":"<div><p>With the advent of 5G, the healthcare industry is experiencing a transformative shift, enabling unprecedented improvements in clinical outcomes through next-generation connectivity solutions. The integration of diverse technologies, such as AR/VR, 3D cameras, IoT devices, and wearable, requires seamless and reliable communication. In this dynamic environment, 5G-driven Network Slicing (NS) plays a pivotal role by enabling efficient management of network resources. NS allows for the division of a single physical network into multiple virtual and isolated slices, each tailored to meet specific traffic types and Quality of Service (QoS) requirements. Efficient Traffic Classification (TC) is crucial to optimize resource allocation across slices. This study evaluates the efficacy of Machine Learning (ML) based TC methods within three primary 5G service categories: Enhanced Mobile Broadband (eMBB), Massive Machine-Type Communications (mMTC), and Ultra-Reliable Low-Latency Communications (uRLLC). We focus on classifying traffic for services such as tele-monitoring, tele-surgery, tele-consultation, and connected ambulances. Due to the absence of a dedicated dataset, we created a novel synthetic healthcare dataset (HealthNetSynthDataset). We employ a two-step approach: (1) ML models using Supervised Learning (SVM, DT, RF, Naive Bayes, and KNN) and Unsupervised Learning (K-means, GMM, and heuristic clustering); (2) we evaluate and benchmark the performance, focusing on the accuracy metrics, and conclude that SVM outperformed other classification approaches. To the best of our knowledge, and evaluate both supervised and unsupervised approaches in a single effort. This work serves as the foundation for the selection of the most adoptable approach to the efficient deployment of healthcare-specific network slicing.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 4","pages":"421 - 444"},"PeriodicalIF":1.2,"publicationDate":"2025-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730207","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
Analysis of COVID-19 Model Using Atangana-Baleanu Variable Order Operator 基于Atangana-Baleanu变序算子的COVID-19模型分析
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-10-27 DOI: 10.1007/s40010-025-00942-x
Pratibha Verma, Surabhi Tiwari
{"title":"Analysis of COVID-19 Model Using Atangana-Baleanu Variable Order Operator","authors":"Pratibha Verma,&nbsp;Surabhi Tiwari","doi":"10.1007/s40010-025-00942-x","DOIUrl":"10.1007/s40010-025-00942-x","url":null,"abstract":"<div><p>The main aim of the study is a mathematical model of COVID-19 using the variable Atangana-Baleanu (AB) fractional derivatives with the Mittag-Leffler kernel in the Caputo sense. Only the AB kernel is a crossover for the waiting time distribution from stretched exponential to a power law. The Caputo-Fabrizio (CF) derivative is less noisy. In contrast, the fractional AB derivative provides an excellent description due to its Mittag-Leffler memory, distinguishing between dynamical systems at different scales without a steady state. With the help of the fixed point theory and Picard-Lindelöf method, we explore the existence and uniqueness of the solution for the proposed COVID-19 model. Moreover, we discuss the generalized Ulam-Hyers stability and the generalized Ulam-Hyers-Rassias stability.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 4","pages":"455 - 467"},"PeriodicalIF":1.2,"publicationDate":"2025-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730209","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
Associating Hypergraphs Defined on Loops 关联在循环上定义的超图
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-10-21 DOI: 10.1007/s40010-025-00941-y
Siddharth Malviy, Vipul Kakkar
{"title":"Associating Hypergraphs Defined on Loops","authors":"Siddharth Malviy,&nbsp;Vipul Kakkar","doi":"10.1007/s40010-025-00941-y","DOIUrl":"10.1007/s40010-025-00941-y","url":null,"abstract":"<div><p>In this paper, we define a new hypergraph <span>(mathcal {H(V,E)})</span> on a loop <i>L</i>, where <span>(mathcal {V})</span> is the set of points of the loop <i>L</i> and <span>(mathcal {E})</span> is the set of hyperedges <span>(e={x,y,z})</span> such that <i>x</i>, <i>y</i> and <i>z</i> associate in the order they are written. We call this hypergraph as the associating hypergraph on a loop <i>L</i>. We study certain properties of associating hypergraphs on the Moufang loop <span>(M(D_n,2))</span>, where <span>(D_n)</span> denotes the dihedral group of order 2<i>n</i>.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 4","pages":"445 - 453"},"PeriodicalIF":1.2,"publicationDate":"2025-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145730242","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
Nanostructured LaNiO3 Synthesised Using Reverse Micellar Route and Study of Their Magnetic and Photoelectrochemical Properties 反胶束法合成纳米结构LaNiO3及其磁性和光电化学性能研究
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-10-14 DOI: 10.1007/s40010-025-00937-8
Kirandeep Bhagat, Vaishali Sethi, Kandalam V. Ramanujachary, Samuel E. Lofland, Ashok Kumar Ganguli
{"title":"Nanostructured LaNiO3 Synthesised Using Reverse Micellar Route and Study of Their Magnetic and Photoelectrochemical Properties","authors":"Kirandeep Bhagat,&nbsp;Vaishali Sethi,&nbsp;Kandalam V. Ramanujachary,&nbsp;Samuel E. Lofland,&nbsp;Ashok Kumar Ganguli","doi":"10.1007/s40010-025-00937-8","DOIUrl":"10.1007/s40010-025-00937-8","url":null,"abstract":"<div><p>The perovskite, LaNiO<sub>3</sub>, was synthesised in nanocrystalline form through reverse micellar route by varying the surfactants (CTAB, Triton X-100, Tergitol). These oxides were calcined at different temperatures from 750 to 800 °C. The structural and magnetic properties of LaNiO<sub>3</sub> was investigated by PXRD, FESEM-EDX, TEM. PXRD of all samples show pure phase of LaNiO<sub>3</sub> crystallizing in the rhombohedral system. The particle size of nanoparticles varies from 12 to 300 nm with the variation in the microemulsion system used for synthesis. The magnetic susceptibility data shows antiferromagnetic behaviour with the possibility of weak ferromagnetic contribution at low temperatures. The band gap obtained from UV–Visible spectroscopy vary in the range of 2.82–3.08 eV. The Mott–Schottky studies show that the all the samples of LaNiO<sub>3</sub> have a n-type behaviour.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 3","pages":"349 - 361"},"PeriodicalIF":1.2,"publicationDate":"2025-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456785","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
Sociological Significance of Ancient Fingerprints: A Review 古代指纹的社会学意义:述评
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-10-11 DOI: 10.1007/s40010-025-00935-w
Jasjeet Kaur, Gurvinder S. Sodhi
{"title":"Sociological Significance of Ancient Fingerprints: A Review","authors":"Jasjeet Kaur,&nbsp;Gurvinder S. Sodhi","doi":"10.1007/s40010-025-00935-w","DOIUrl":"10.1007/s40010-025-00935-w","url":null,"abstract":"<div><p>Ancient Fingerprint impressions are found impinged on pottery and clay tablets as paleodermatoglyphics; painted or engraved on rocks as petroglyphs; and as accompaniment to cuneiform script on contracts. Whether these impressions served as marks of individualization, comparable to the present-day identification process, or were mere pieces of arts is debatable. However, these do assist us in understanding the social patterns of the communities whose members excogitated such marks in the first place. This communication highlights the potential of the rich corpus of ancient fingerprints in conceptualizing the individuals within the societies of bygone era.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 3","pages":"363 - 368"},"PeriodicalIF":1.2,"publicationDate":"2025-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456812","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
A Review on Integration of DGs and EVs Planning in Distribution Networks with Hybrid MC-GA Approach 基于混合MC-GA方法的配电网dg与电动汽车规划集成研究综述
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-10-11 DOI: 10.1007/s40010-025-00936-9
Ramesh, Mohd Khursheed, Bindeshwar Singh
{"title":"A Review on Integration of DGs and EVs Planning in Distribution Networks with Hybrid MC-GA Approach","authors":"Ramesh,&nbsp;Mohd Khursheed,&nbsp;Bindeshwar Singh","doi":"10.1007/s40010-025-00936-9","DOIUrl":"10.1007/s40010-025-00936-9","url":null,"abstract":"<div><p>As per conventional demand pattern, there is a daily rise in the need for power consumption. Therefore, producing large amounts of power is important, or losses should be kept to a minimum. Hence for enhancing efficiency in the design of power distribution networks, Distributed Generations (DGs) and Electric Vehicles (EVs) collaboration with hybrid monte carlo genetic algorithm (MC-GA) approach is increasingly essential. Consequently, to boost the efficiency of the electricity system qualities, few steps may be taken like minimising actual and reactive power losses, maximising loadability, DGs and EVs must be properly coordinated. The other electrical quality of power parameters, such as the system's stability, the line's capacity for short circuits, and the rise in the power system’s voltage profile, are also improved. New dimension of research in this field, is significant amount of attention paid to DG and EV integration into the electrical distribution networks. This review paper offers hybrid MC-GA optimization approach for building distribution networks with DGs, EVs, and DGs with EVs while using a realistic load model. With varied goal function views, like the reduction in the losses of actual and reactive power in power system networks, the various power system performances are taken into account during planning. This survey study provides an insight in the most recent models as well as techniques which are used over DGs and EVs in the process of assessment, planning and categorising scope of research in the present as well as future pertaining to this field. The writers are certain that figuring out their comparable references would be extremely helpful for researchers, practitioners, academics, industrial people, and scientific research people in this survey study.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 3","pages":"369 - 387"},"PeriodicalIF":1.2,"publicationDate":"2025-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456813","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
Hybrid Number Triplets and a New Polar Representation of Hybrid Numbers 混合数三元组和混合数的一种新的极坐标表示
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-10-08 DOI: 10.1007/s40010-025-00934-x
Büşra Koçay, O. Oğulcan Tuncer, İsmail Gök, Yusuf Yayli
{"title":"Hybrid Number Triplets and a New Polar Representation of Hybrid Numbers","authors":"Büşra Koçay,&nbsp;O. Oğulcan Tuncer,&nbsp;İsmail Gök,&nbsp;Yusuf Yayli","doi":"10.1007/s40010-025-00934-x","DOIUrl":"10.1007/s40010-025-00934-x","url":null,"abstract":"<div><p>Hybrid numbers are defined as a non-commutative number system generalizing the complex, dual, and hyperbolic numbers with the relation <span>(ih=-hi=varepsilon +i)</span>. This paper aims to provide new polar representations for hybrid numbers. To achieve this we first introduce truncated hybrid numbers (or hybrid number triplets) obtained by truncating a vector component of a hybrid number. Therefore there are three types of truncated hybrid numbers. Then, we determine the conditions for the multiplication of two truncated hybrid numbers to be closed and commutative. Finally, we use what we call <i>h</i>-truncated hybrid numbers to provide a new polar representation for hybrid numbers. Many numerical examples are provided to support the theory of this paper.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 3","pages":"337 - 347"},"PeriodicalIF":1.2,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456717","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
A Natural Way of Solving a Convex Hull Problem 解决凸包问题的自然方法
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-08-25 DOI: 10.1007/s40010-025-00932-z
Sina Saadati, Mohammadreza Razzazi
{"title":"A Natural Way of Solving a Convex Hull Problem","authors":"Sina Saadati,&nbsp;Mohammadreza Razzazi","doi":"10.1007/s40010-025-00932-z","DOIUrl":"10.1007/s40010-025-00932-z","url":null,"abstract":"<div><p>This article presents a new solution for the convex hull problem. The convex hull is a widely known problem in computational geometry. As nature is a rich source of ideas in the field of algorithms, the solution has been inspired by nature. A tight elastic band is modeled using agents and also nails as points of the problem. The convex hull problem will be solvable by simulating an elastic band with nails in a given environment. The algorithm runs in <i>O</i>(<i>S</i>) in which <i>S</i> is the area between the elastic band and convex hull polygon. This feature enables the algorithm to be computationally grown linearly as the number of points increases in a situation where there is a compact set of points. The algorithm is output-sensitive and can be implemented in a 2<i>D</i> and also a 3<i>D</i> space.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 3","pages":"323 - 336"},"PeriodicalIF":1.2,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456763","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
Dihedral and Cyclic Covers of a Class of Maps on Surfaces 曲面上一类映射的二面体盖和循环盖
IF 1.2 4区 综合性期刊
Proceedings of the National Academy of Sciences, India Section A: Physical Sciences Pub Date : 2025-06-19 DOI: 10.1007/s40010-025-00923-0
Marbarisha M. Kharkongor, Debashis Bhowmik, Dipendu Maity
{"title":"Dihedral and Cyclic Covers of a Class of Maps on Surfaces","authors":"Marbarisha M. Kharkongor,&nbsp;Debashis Bhowmik,&nbsp;Dipendu Maity","doi":"10.1007/s40010-025-00923-0","DOIUrl":"10.1007/s40010-025-00923-0","url":null,"abstract":"<div><p>A map is considered to be semi-equivelar if all of the face-cycles at its vertices are of the same type. In this article, we show that a surface with Euler characteristic of <span>(-2)</span> admits 39 distinct types of semi-equivelar maps. Moreover, we classify (up to isomorphism) a specific category of semi-equivelar maps on this surface. This approach can be extended to classify the other types of maps. For every orientable surface of genus <span>(g&gt; 2)</span>, there is a regular covering of an orientable surface with genus 2 by the cyclic group of covering transformations. This result was algebraically demonstrated by Harvey (Q J Math 17:86–97, 1966). In this article, we provide a combinatorial explanation of a similar result for a class of semi-equivelar maps using the concept of a connected sum. For semi-equivelar maps on surfaces with Euler characteristic <span>(-2)</span>, we demonstrate the existence of <i>m</i>-th covering maps on higher genus surfaces. We also show that the symmetry groups of the <i>m</i>-th covering maps are either <span>(mathbb {D}_m)</span> (dihedral group of order 2<i>m</i>) or <span>(mathbb {Z}_m)</span> (cyclic group of order <i>m</i>).</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"95 3","pages":"251 - 268"},"PeriodicalIF":1.2,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145456719","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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