Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.655
K. M. Sakthivel, V. Nandhini
Background/Objectives: Climate change is one of the most challenging problems of recent decades as it is highly volatile and needs a very effective scientific approach to find a solution. Further, the changes in the climate especially extreme cases have a more negative influence on day to day affairs of society. Hence, developed countries pay much attention to climate change and make policies at a global level. To find the scientific solution for these kinds of climate change, Extreme value theory offers effective methods for estimating and quantifying these types of natural hazards associated with climate. Methods: Block (Annual) maxima and peak over threshold are two strategies employed in this theory. The data observed on precipitation are mostly having non-stationary characteristics along with covariates. The generalized extreme value distribution and generalized Pareto distribution are used to model this type of non-stationary stochastic process. Findings: This study proposes a pragmatic automated dual-phase threshold selection technique that employs the entropy method to combine the results from various goodness of fit tests into a single unified measure known as the evaluation indicator, resulting in an efficient threshold for capturing extreme values. This allows for a more comprehensive examination of various thresholds using evaluation indicators and avoids assessing each test criterion individually. Novelty: In contrast to the subjective results of threshold stability plots, the dual-phase technique is based on numerical computations, which reduce bias and improve decision-making objectivity. We illustrate the applicability of the proposed technique by analyzing a precipitation dataset that includes time and wind speed as covariates. The results of the comparative analysis reveal that the proposed automated dual-phase threshold approach outperforms the peaks over threshold and annual maxima methods. Keywords: Non-stationary, Extreme values, Annual maxima, Threshold selection, Evaluation indicator
{"title":"Modeling Extreme Values of Non-Stationary Precipitation Data with Effects of Covariates","authors":"K. M. Sakthivel, V. Nandhini","doi":"10.17485/ijst/v17i22.655","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.655","url":null,"abstract":"Background/Objectives: Climate change is one of the most challenging problems of recent decades as it is highly volatile and needs a very effective scientific approach to find a solution. Further, the changes in the climate especially extreme cases have a more negative influence on day to day affairs of society. Hence, developed countries pay much attention to climate change and make policies at a global level. To find the scientific solution for these kinds of climate change, Extreme value theory offers effective methods for estimating and quantifying these types of natural hazards associated with climate. Methods: Block (Annual) maxima and peak over threshold are two strategies employed in this theory. The data observed on precipitation are mostly having non-stationary characteristics along with covariates. The generalized extreme value distribution and generalized Pareto distribution are used to model this type of non-stationary stochastic process. Findings: This study proposes a pragmatic automated dual-phase threshold selection technique that employs the entropy method to combine the results from various goodness of fit tests into a single unified measure known as the evaluation indicator, resulting in an efficient threshold for capturing extreme values. This allows for a more comprehensive examination of various thresholds using evaluation indicators and avoids assessing each test criterion individually. Novelty: In contrast to the subjective results of threshold stability plots, the dual-phase technique is based on numerical computations, which reduce bias and improve decision-making objectivity. We illustrate the applicability of the proposed technique by analyzing a precipitation dataset that includes time and wind speed as covariates. The results of the comparative analysis reveal that the proposed automated dual-phase threshold approach outperforms the peaks over threshold and annual maxima methods. Keywords: Non-stationary, Extreme values, Annual maxima, Threshold selection, Evaluation indicator","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"13 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141271224","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.1041
E. Punithavathy, N. Priya
Objectives: The main objective of this study is to enhance the flexibility of microservice-based cloud applications, so they can cope with transient or short-term failure conditions more effectively, providing a higher throughput of cloud applications as a result. Methods: The comparison is done between the existing or manual resilient patterns such as circuit breaker and retry with a dynamically proposed retry patterns using a microservice application. Findings: The short-term or transient failures in cloud based microservice applications can occur for many reasons. Examples such as Network glitches, service failures, timeouts of requests etc. These failures can bring down the entire application resulting in a cascading of failures. Resiliency patterns are used to protect these applications from failures. The widely used patterns are circuit breaker and retry, with static configurations. It is possible that the static configurations used in resiliency patterns might not support all types of failures. Hence, a dynamic approach has been proposed to satisfy all these transient failures of cloud. The analysis proves that the application efficiency is balanced in dynamic retry than the static configurations of resiliency pattern. Hence, performance can be increased up to 34.3%, which means the availability can be ensured, in transient failure cases. Very little research has been carried out on this resiliency pattern, and there are no standards available for this pattern. When comparing with the existing adaptive retry pattern the performance is increased up to 88.52%, while using a microservice application. Novelty: A dynamically modified resilient pattern is been proposed by incorporating additional parameters such as execution time to the existing parameters of the static retry pattern. This is an individual resilience pattern, which can perform independently when compared with other dynamic resilience patterns. Keywords: Dynamic retry, Request time, Static circuit breaker, Resilience, Static retry
{"title":"Performance of Dynamic Retry Over Static Towards Resilience Nature of Microservice","authors":"E. Punithavathy, N. Priya","doi":"10.17485/ijst/v17i22.1041","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.1041","url":null,"abstract":"Objectives: The main objective of this study is to enhance the flexibility of microservice-based cloud applications, so they can cope with transient or short-term failure conditions more effectively, providing a higher throughput of cloud applications as a result. Methods: The comparison is done between the existing or manual resilient patterns such as circuit breaker and retry with a dynamically proposed retry patterns using a microservice application. Findings: The short-term or transient failures in cloud based microservice applications can occur for many reasons. Examples such as Network glitches, service failures, timeouts of requests etc. These failures can bring down the entire application resulting in a cascading of failures. Resiliency patterns are used to protect these applications from failures. The widely used patterns are circuit breaker and retry, with static configurations. It is possible that the static configurations used in resiliency patterns might not support all types of failures. Hence, a dynamic approach has been proposed to satisfy all these transient failures of cloud. The analysis proves that the application efficiency is balanced in dynamic retry than the static configurations of resiliency pattern. Hence, performance can be increased up to 34.3%, which means the availability can be ensured, in transient failure cases. Very little research has been carried out on this resiliency pattern, and there are no standards available for this pattern. When comparing with the existing adaptive retry pattern the performance is increased up to 88.52%, while using a microservice application. Novelty: A dynamically modified resilient pattern is been proposed by incorporating additional parameters such as execution time to the existing parameters of the static retry pattern. This is an individual resilience pattern, which can perform independently when compared with other dynamic resilience patterns. Keywords: Dynamic retry, Request time, Static circuit breaker, Resilience, Static retry","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"15 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141272010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.741
P. Sathishmohan, S. S. Roshan, K. Rajalakshmi
Objective: The basic objective of this article is to introduce and investigate the properties of micro pre-neighborhoods, micro pre-interior, micro pre-closure and micro pre-limit points. Methods: Using the concept of micro pre-open, micro pre-closed and micro pre-derived sets the result of the paper is obtained. Findings: In this article the properties and characterization of pre-open sets and pre-closed sets were opted on Micro topological space. Novelty: The relation between the characterization of micro pre-open sets, micro pre-closed sets and micro pre-derived sets were shown. AMS Subject Classifications: 54B05 Keywords: Micro topology, Micro pre-interior, Micro pre-closure, Micro pre-neighborhoods, Micro pre-limit points
{"title":"On Micro Pre-Neighborhoods in Micro Topological Spaces","authors":"P. Sathishmohan, S. S. Roshan, K. Rajalakshmi","doi":"10.17485/ijst/v17i22.741","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.741","url":null,"abstract":"Objective: The basic objective of this article is to introduce and investigate the properties of micro pre-neighborhoods, micro pre-interior, micro pre-closure and micro pre-limit points. Methods: Using the concept of micro pre-open, micro pre-closed and micro pre-derived sets the result of the paper is obtained. Findings: In this article the properties and characterization of pre-open sets and pre-closed sets were opted on Micro topological space. Novelty: The relation between the characterization of micro pre-open sets, micro pre-closed sets and micro pre-derived sets were shown. AMS Subject Classifications: 54B05 Keywords: Micro topology, Micro pre-interior, Micro pre-closure, Micro pre-neighborhoods, Micro pre-limit points","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"48 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141269601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.810
Ritisha V Bhatt, G. D. Makwana
Objectives: This study introduces a dual-band rectangular microstrip patch antenna with a slot-loaded, specifically designed for 5G and WLAN/WiMAX applications. Method: The antenna is mounted on a substrate material of Rogers AD255C material having εr of 2.55 and a thickness of 1.56 mm. Three slots are etched on the conventional rectangular microstrip patch antenna. A 50-ohm microstrip line powers the antenna. The antenna that has been suggested is created and simulated using CST Studio Suite 2020. Findings: Based on numerical simulation, the proposed antenna functions at 3.5 GHz and 5.8 GHz, suitable for 5G and WLAN/WiMAX wireless technologies. The antenna offers measured return loss (S11) of -22.10 dB and -22.9 dB and a Gain of 4.43 dBi and 4.62 dBi at 3.5 GHz and 5.8 GHz, respectively. The radiation patterns are linear and broadside. Novelty: This article aims to create a smaller planer dual-band antenna that integrates WLAN/WiMAX and 5G communication standards into a single device. Keywords: Dual-band, 5G, WLAN, WiMAX, Microstrip patch antenna
{"title":"Slot-loaded Dual-Band Microstrip Patch Antenna for 5G and WLAN/WiMAX Wireless Applications","authors":"Ritisha V Bhatt, G. D. Makwana","doi":"10.17485/ijst/v17i22.810","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.810","url":null,"abstract":"Objectives: This study introduces a dual-band rectangular microstrip patch antenna with a slot-loaded, specifically designed for 5G and WLAN/WiMAX applications. Method: The antenna is mounted on a substrate material of Rogers AD255C material having εr of 2.55 and a thickness of 1.56 mm. Three slots are etched on the conventional rectangular microstrip patch antenna. A 50-ohm microstrip line powers the antenna. The antenna that has been suggested is created and simulated using CST Studio Suite 2020. Findings: Based on numerical simulation, the proposed antenna functions at 3.5 GHz and 5.8 GHz, suitable for 5G and WLAN/WiMAX wireless technologies. The antenna offers measured return loss (S11) of -22.10 dB and -22.9 dB and a Gain of 4.43 dBi and 4.62 dBi at 3.5 GHz and 5.8 GHz, respectively. The radiation patterns are linear and broadside. Novelty: This article aims to create a smaller planer dual-band antenna that integrates WLAN/WiMAX and 5G communication standards into a single device. Keywords: Dual-band, 5G, WLAN, WiMAX, Microstrip patch antenna","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"109 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141272374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.1549
Mamta Dhankhar, Deepti Yadav, Vikash Bhardwaj
Objectives: The repetitive elements within the genome of eukaryotes form a significant portion and are associated with various molecular functions within a cell. The goal of our study is to determine a special type of repeat i.e., mirror repeat within complete ced-3 apoptotic gene and its exons. Methods: A simple computational approach was used to search mirror repeats within the eight exons and complete ced-3 gene of Caenorhabditis elegans (C. elegans). C. elegans is a model organism widely used to study genetics, and developmental biology and ced-3 is the main apoptotic gene responsible for cell death. Findings: We identified 140 mirror repeats within the different regions of the ced-3 gene of C. elegans. These identified mirror repeats are not restricted to the genome of C. elegans but are scattered among the genome of C. vulgaris, Xenopus tropicalis and Drosophila melanogaster. Novelty: This research work is the very first endeavor to characterize mirror repeats within the complete ced-3 gene and its exons. Nobody has been studied mirror repeats within ced-3 apoptotic gene of C. elegans. Mirror repeat has the potential to form triplex DNA and is also associated with several neurological disorders. Forthcoming studies will help us to explore the functions and nature of these identified mirror repeats. Keywords: Repetitive elements, mirror repeats, Caenorhabditis elegans and ced-3 gene
{"title":"In silico Approach for the Identification of Mirror Repeats within ced-3 Gene of Caenorhabditis elegans","authors":"Mamta Dhankhar, Deepti Yadav, Vikash Bhardwaj","doi":"10.17485/ijst/v17i22.1549","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.1549","url":null,"abstract":"Objectives: The repetitive elements within the genome of eukaryotes form a significant portion and are associated with various molecular functions within a cell. The goal of our study is to determine a special type of repeat i.e., mirror repeat within complete ced-3 apoptotic gene and its exons. Methods: A simple computational approach was used to search mirror repeats within the eight exons and complete ced-3 gene of Caenorhabditis elegans (C. elegans). C. elegans is a model organism widely used to study genetics, and developmental biology and ced-3 is the main apoptotic gene responsible for cell death. Findings: We identified 140 mirror repeats within the different regions of the ced-3 gene of C. elegans. These identified mirror repeats are not restricted to the genome of C. elegans but are scattered among the genome of C. vulgaris, Xenopus tropicalis and Drosophila melanogaster. Novelty: This research work is the very first endeavor to characterize mirror repeats within the complete ced-3 gene and its exons. Nobody has been studied mirror repeats within ced-3 apoptotic gene of C. elegans. Mirror repeat has the potential to form triplex DNA and is also associated with several neurological disorders. Forthcoming studies will help us to explore the functions and nature of these identified mirror repeats. Keywords: Repetitive elements, mirror repeats, Caenorhabditis elegans and ced-3 gene","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"13 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141271516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.571
Shantanu Mishra, Sushil Kumar Yadav
Objective: A study work plan has been put up for methodical work in the field of solar energy Photogalvanic (PG) cells. It was suggested and required to do experiments with PG cells in sunlight conditions. Improving the conversion of solar energy into electricity and storing it in PG cells is the goal of our study. Method: An H-shaped glass tube with two arms was manufactured using the specially developed PG (Figure 1) cell. Many characteristics of a PG cell with an MG+D-Xylose+Tween-80 system was investigated. Findings: The open circuit voltage, voltage at dark, photopotential (PP), and photocurrent (PC) recorded in this investigation are 1080.00 mV, 165.00 mV, 915.00 mV, and 674.00 µA, respectively. The Fill Factor (FF) and Conversion Efficiency (CE) that were observed 1.891% and 0.2732, respectively. Novelty: Through the adjustment of PG cells' numerous parameters, the effects of solar energy were investigated. Based on the aforementioned results, PG systems have demonstrated through experimentation that they are an effective system and should be further investigated, particularly with regard to improving solar energy output and storage. Keywords: D-Xylose, Tween - 80, Marigold, Photocurrent, Natural dye
{"title":"Study of Photogalvanic Effect by using Marigold Flower as Natural Photosensitizer, Xylose as Reductant and Tween 80 as Surfactant for Solar Radiation Conversion and Storage","authors":"Shantanu Mishra, Sushil Kumar Yadav","doi":"10.17485/ijst/v17i22.571","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.571","url":null,"abstract":"Objective: A study work plan has been put up for methodical work in the field of solar energy Photogalvanic (PG) cells. It was suggested and required to do experiments with PG cells in sunlight conditions. Improving the conversion of solar energy into electricity and storing it in PG cells is the goal of our study. Method: An H-shaped glass tube with two arms was manufactured using the specially developed PG (Figure 1) cell. Many characteristics of a PG cell with an MG+D-Xylose+Tween-80 system was investigated. Findings: The open circuit voltage, voltage at dark, photopotential (PP), and photocurrent (PC) recorded in this investigation are 1080.00 mV, 165.00 mV, 915.00 mV, and 674.00 µA, respectively. The Fill Factor (FF) and Conversion Efficiency (CE) that were observed 1.891% and 0.2732, respectively. Novelty: Through the adjustment of PG cells' numerous parameters, the effects of solar energy were investigated. Based on the aforementioned results, PG systems have demonstrated through experimentation that they are an effective system and should be further investigated, particularly with regard to improving solar energy output and storage. Keywords: D-Xylose, Tween - 80, Marigold, Photocurrent, Natural dye","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"52 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141269564","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.1272
J. Jarvisvivin, A. P. Dharsini
Objectives: In this manuscript, some fixed point theorems have been provided in b-multiplicative metric spaces. Methods: We proved the unique fixed point theorems using the Banach contraction principle and generalized Lipschitz contractive mappings. Findings: We established the P Property and the T-Stability of Picard’s iteration in b-multiplicative metric spaces. We also provide an example to demonstrate the result. Novelty: Using our results, we obtained the existence and uniqueness of solutions for ordinary multiplicative differential equations with initial value problems. 2020 Mathematics Subject Classification: 47H10, 54H25. Keywords: Fixed Point, Generalized Lipschitz Contractive, Picard’s iteration, b-Multiplicative Metric Space (b − MMS), T -Stability, Differential equation
目的：本手稿提供了一些 b-乘法度量空间的定点定理。方法：我们利用巴拿赫收缩原理和广义利普齐兹收缩映射证明了唯一定点定理。研究结果我们建立了皮卡尔迭代在 b 倍增度量空间中的 P 特性和 T 稳定性。我们还提供了一个例子来证明这一结果。新颖性：利用我们的结果，我们得到了有初值问题的常乘法微分方程解的存在性和唯一性。2020 数学主题分类：47H10, 54H25.关键词： 定点定点、广义利普齐兹收缩、皮卡尔迭代、b-多元空间（b - MMS）、T-稳定性、微分方程
{"title":"Application of Fixed Point Theorems to Differential Equation in b-Multiplicative Metric Spaces","authors":"J. Jarvisvivin, A. P. Dharsini","doi":"10.17485/ijst/v17i22.1272","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.1272","url":null,"abstract":"Objectives: In this manuscript, some fixed point theorems have been provided in b-multiplicative metric spaces. Methods: We proved the unique fixed point theorems using the Banach contraction principle and generalized Lipschitz contractive mappings. Findings: We established the P Property and the T-Stability of Picard’s iteration in b-multiplicative metric spaces. We also provide an example to demonstrate the result. Novelty: Using our results, we obtained the existence and uniqueness of solutions for ordinary multiplicative differential equations with initial value problems. 2020 Mathematics Subject Classification: 47H10, 54H25. Keywords: Fixed Point, Generalized Lipschitz Contractive, Picard’s iteration, b-Multiplicative Metric Space (b − MMS), T -Stability, Differential equation","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"115 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141271951","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.1431
V. Rao, U. Dixit
Objective: This research work is an attempt to explore common fixed points for four self-maps that are pairwise type ( ) compatible in a complete cone -metric space. Method: We have applied a contractive condition together with a weaker condition, compatible of type (K) to establish fixed points that are common for four self-maps. Findings: Some already existing results in the literature have been generalized, expanded upon, and new fixed point results have been obtained in cone S-metric spaces. To back up our conclusions, a suitable example is provided. Novelty: By adopting an appropriate contractive condition, we have proven the existence of a unique common fixed point for four maps in a cone -metric space, despite the weak compatible condition. MSC 2020: 47H10, 54H25. Keywords: Normal Cone, Partial Ordering, Cone S-metric Space, Compatible Mappings of Type (K), Common Fixed Point
研究目的这项研究工作试图探索在一个完整的锥-度量空间中，成对类型（ ）兼容的四个自映射的共同固定点。研究方法我们应用收缩条件和一个较弱的条件--类型（K）兼容--来建立四个自映射的共同定点。研究结果我们对文献中已有的一些结果进行了归纳、扩展，并在锥 S 度量空间中获得了新的定点结果。为了支持我们的结论，我们提供了一个合适的例子。新颖性：通过采用适当的收缩条件，我们证明了在锥-度量空间中，尽管存在弱兼容条件，但四个映射的唯一公共定点是存在的。MSC 2020: 47H10, 54H25.关键词正锥，部分排序，锥S度量空间，(K)型相容映射，公共定点
{"title":"Type (K) Compatible Mappings and Common Fixed Points in Complete Cone S-metric Spaces","authors":"V. Rao, U. Dixit","doi":"10.17485/ijst/v17i22.1431","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.1431","url":null,"abstract":"Objective: This research work is an attempt to explore common fixed points for four self-maps that are pairwise type ( ) compatible in a complete cone -metric space. Method: We have applied a contractive condition together with a weaker condition, compatible of type (K) to establish fixed points that are common for four self-maps. Findings: Some already existing results in the literature have been generalized, expanded upon, and new fixed point results have been obtained in cone S-metric spaces. To back up our conclusions, a suitable example is provided. Novelty: By adopting an appropriate contractive condition, we have proven the existence of a unique common fixed point for four maps in a cone -metric space, despite the weak compatible condition. MSC 2020: 47H10, 54H25. Keywords: Normal Cone, Partial Ordering, Cone S-metric Space, Compatible Mappings of Type (K), Common Fixed Point","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"41 22","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141270126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.1077
T. R. Sharma, Rajesh Kumar
Objectives: In this study, we generalize some of the difference ordered and weak uniquely difference ordered semirings results. Methods: To establish the results in semirings, we use conditions like commutativity, simple, multiplicative cancellative, additively idempotent on difference-ordered, and weak uniquely difference-ordered semirings. Findings: First, we give some examples of difference ordered semiring, and weak difference ordered semirings. Then generalize some of the results of semirings to semirings and discuss some of the properties of additive idempotent semifield. Novelty: We find that if is a non-zeroic difference ordered semiring then is a strong ideal of Let be a positive difference ordered Gel’fand semiring then every maximal non-unit of is prime. Further, we find that if is a simple difference ordered additively idempotent semiring and which is not a unit then is prime if and only if there exists a character : satisfying Moreover, if and are distinct prime elements of Then and are also distinct. Finally, we consider some properties of additive idempotent semifield and then introduce the concept of weak uniquely difference-ordered semirings. AMS Mathematics subject classification (2020): 16Y60. Keywords: Γ-semiring, Difference ordered Γ-semiring, Additively idempotent Γ- semiring, Strong identity, Weak uniquely difference-ordered Γ-semirings
{"title":"Difference Ordered G Semirings","authors":"T. R. Sharma, Rajesh Kumar","doi":"10.17485/ijst/v17i22.1077","DOIUrl":"https://doi.org/10.17485/ijst/v17i22.1077","url":null,"abstract":"Objectives: In this study, we generalize some of the difference ordered and weak uniquely difference ordered semirings results. Methods: To establish the results in semirings, we use conditions like commutativity, simple, multiplicative cancellative, additively idempotent on difference-ordered, and weak uniquely difference-ordered semirings. Findings: First, we give some examples of difference ordered semiring, and weak difference ordered semirings. Then generalize some of the results of semirings to semirings and discuss some of the properties of additive idempotent semifield. Novelty: We find that if is a non-zeroic difference ordered semiring then is a strong ideal of Let be a positive difference ordered Gel’fand semiring then every maximal non-unit of is prime. Further, we find that if is a simple difference ordered additively idempotent semiring and which is not a unit then is prime if and only if there exists a character : satisfying Moreover, if and are distinct prime elements of Then and are also distinct. Finally, we consider some properties of additive idempotent semifield and then introduce the concept of weak uniquely difference-ordered semirings. AMS Mathematics subject classification (2020): 16Y60. Keywords: Γ-semiring, Difference ordered Γ-semiring, Additively idempotent Γ- semiring, Strong identity, Weak uniquely difference-ordered Γ-semirings","PeriodicalId":13296,"journal":{"name":"Indian journal of science and technology","volume":"38 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141268992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-06-03DOI: 10.17485/ijst/v17i22.3169
Alpeshkumar B Damor, Vinay J Patel
Objective: A Compliant Joint of humanoid robot is a spring-loaded assembly, which is used to interact safely with the environment, and it helps to stabilized sudden shock and vibration in the robotic system. At the moment, compliant joints are required to optimize their size and dimensions which result into optimized weight and factor of safety of humanoid robot. Methods: Analysis is carried out using Response Surface Methodology (RSM) and Multi-Objective Genetic Algorithm (MOGA) using ANSYS. The current study employed goal-driven optimisation using ANSYS Workbench to minimise weight and achieve the required factor of safety range for the compliant joint. To find out range of variables such as rim thickness, shaft diameter, base thickness, module thickness and spoke thickness affecting on responses such as factor of safety and geometrical mass of compliant joint single factor single response parametric analysis is carried out. Findings: Based on trend of preliminary analysis variable range and combinations are selected to study interaction effect of parameters to obtain favorable factor of safety and low geometrical mass. The optimized compliant joint is compared with various design and validated through the developed actual module. Novelty: Eventually, the geometry mass of the compliant joint was reduced from 0.8604 kg to 0.6449 kg, resulting in a lighter weight (24.06% reduction) with a 1.7533 factor of safety and more compact in size (outer diameter is shrink from 142 to 126 mm). Keywords: Compliant joint, Goal driven optimization, Response surface optimization, Design of experiment, Humanoid robot
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