Pub Date : 2023-03-31DOI: 10.17993/3cemp.2023.120151.51-66
Qin Yang
With the increase of social technology, e-commerce platforms have entered a period of rapid development. Improving customer satisfaction and purchase rate is the key to the survival of e-commerce platforms. Text mining and analysis of customer evaluation data will help to grasp the focus of customers and optimize the e- commerce platform. To this end, through text mining technology, the text comment data of five e-commerce platforms such as Amazon, eBay, Alibaba, Jingdong, and Taobao are collected, and the cleaned text is analyzed by particle swarm algorithm (PSO)-long short-term memory (LSTM) model. The data is subject to time scale extraction, and the extraction results are visualized and interpreted. The research shows that the logistics, price, freshness, quality and packaging of e-commerce platform merchants are important factors that affect the evaluation of e-commerce customer satisfaction.
{"title":"Research on E-commerce Customer Satisfaction Evaluation Method Based on PSO-LSTM and Text Mining","authors":"Qin Yang","doi":"10.17993/3cemp.2023.120151.51-66","DOIUrl":"https://doi.org/10.17993/3cemp.2023.120151.51-66","url":null,"abstract":"With the increase of social technology, e-commerce platforms have entered a period of rapid development. Improving customer satisfaction and purchase rate is the key to the survival of e-commerce platforms. Text mining and analysis of customer evaluation data will help to grasp the focus of customers and optimize the e- commerce platform. To this end, through text mining technology, the text comment data of five e-commerce platforms such as Amazon, eBay, Alibaba, Jingdong, and Taobao are collected, and the cleaned text is analyzed by particle swarm algorithm (PSO)-long short-term memory (LSTM) model. The data is subject to time scale extraction, and the extraction results are visualized and interpreted. The research shows that the logistics, price, freshness, quality and packaging of e-commerce platform merchants are important factors that affect the evaluation of e-commerce customer satisfaction.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"124 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116433524","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 : 2023-03-31DOI: 10.17993/3cemp.2023.120151.243-255
Heiyam Najy Hady, Ruqaya Talib Kadhim
The software package IBM code for interacting boson model-1 and Neutron Proton Boson NPBOS code for interacting boson model-2 have been used to calculate energy levels for, for by estimating a set of parameters which are used to predict the behavior of even-even isotones within the current scope of work there is clear competition between the two parameters (ε and a2) in isotones, as an inverse relationship. This means that vibrational qualities are continuous mixed with the rotational properties. In interacting boson model-2 parameters(ε, κ, χπ and χν) have been shown similarity with interacting boson model-1 expected. The Majorana parameter effect (ζ2) on the calculated excitation energy level for isotones has been accomplished by vary the ζ2 around the optimum-matches to practical data. The effect of increasing ζ2 on mixing symmetry states is the same in all isotones but different from state to another, we find the state J+ = 23+ was the lowest mixing symmetry states still approximately constant in the all. In that time,isotones have 1+, 3+1, 5+1 mixed symmetry states, rapidly increasing with increasing ζ2. The results of the calculated energy levels were in acceptable agreement with the experimental data. There is no pure vibrational property of these isotones
{"title":"Mixed symmetry states in 96Mo and 98Ru isotones in the framework of interacting boson model","authors":"Heiyam Najy Hady, Ruqaya Talib Kadhim","doi":"10.17993/3cemp.2023.120151.243-255","DOIUrl":"https://doi.org/10.17993/3cemp.2023.120151.243-255","url":null,"abstract":"The software package IBM code for interacting boson model-1 and Neutron Proton Boson NPBOS code for interacting boson model-2 have been used to calculate energy levels for, for by estimating a set of parameters which are used to predict the behavior of even-even isotones within the current scope of work there is clear competition between the two parameters (ε and a2) in isotones, as an inverse relationship. This means that vibrational qualities are continuous mixed with the rotational properties. In interacting boson model-2 parameters(ε, κ, χπ and χν) have been shown similarity with interacting boson model-1 expected. The Majorana parameter effect (ζ2) on the calculated excitation energy level for isotones has been accomplished by vary the ζ2 around the optimum-matches to practical data. The effect of increasing ζ2 on mixing symmetry states is the same in all isotones but different from state to another, we find the state J+ = 23+ was the lowest mixing symmetry states still approximately constant in the all. In that time,isotones have 1+, 3+1, 5+1 mixed symmetry states, rapidly increasing with increasing ζ2. The results of the calculated energy levels were in acceptable agreement with the experimental data. There is no pure vibrational property of these isotones","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121640149","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 : 2023-03-31DOI: 10.17993/3cemp.2023.120151.257-271
Dalia H. aldahy, Mohammed A. Ibrahim
In the present research, Artificial Neural Networks (ANNs) were developed for modelling the performance of Al-Rustamiya wastewater treatment plant, Baghdad, Iraq. There were created two models and the outputs were the removal efficiency of BOD and COD parameters. Four main input parameters were selected for modelling, namely Total suspended solids (TSS), Total dissolved solids (TDS), chloride ion (Cl-), and pH. Influent and effluent concentrations of the parameters were collected from Mayoralty of Baghdad for the period from 2011 to 2021. The results of the modelling were in terms of mean square error (MSE) and correlation coefficient (R). The results indicated that the ANNs models were accurately able to predict the removal of the BOD, and COD, and the optimum topology of the ANNs is obtained at 13 neurons in the hidden layer for both with 3.09 MSE, 0.96 and 4.28 MSE, 0.96 R for BOD and COD respectively.
{"title":"Artificial Neural Networks Modelling For AL-Rustumiya Wastwater Treatment Plant in Baghdad","authors":"Dalia H. aldahy, Mohammed A. Ibrahim","doi":"10.17993/3cemp.2023.120151.257-271","DOIUrl":"https://doi.org/10.17993/3cemp.2023.120151.257-271","url":null,"abstract":"In the present research, Artificial Neural Networks (ANNs) were developed for modelling the performance of Al-Rustamiya wastewater treatment plant, Baghdad, Iraq. There were created two models and the outputs were the removal efficiency of BOD and COD parameters. Four main input parameters were selected for modelling, namely Total suspended solids (TSS), Total dissolved solids (TDS), chloride ion (Cl-), and pH. Influent and effluent concentrations of the parameters were collected from Mayoralty of Baghdad for the period from 2011 to 2021. The results of the modelling were in terms of mean square error (MSE) and correlation coefficient (R). The results indicated that the ANNs models were accurately able to predict the removal of the BOD, and COD, and the optimum topology of the ANNs is obtained at 13 neurons in the hidden layer for both with 3.09 MSE, 0.96 and 4.28 MSE, 0.96 R for BOD and COD respectively.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133064682","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 : 2023-03-31DOI: 10.17993/3cemp.2023.120151.382-390
Serwan Ibrahem Abdulkhader, Mohammed Jawdat Barzanjy
Glacial acetic acid was used to improve Kirkuk kerosene samples and decrease their aromatics contents. Two sets of experimental processes were performed: the first set included more process steps (mixing by orbital shaker, heating, centrifugation, and stabilization over many days). This set of experiments showed its maximum improvement when 1 mL of glacial acetic acid was added to 10 mL of Kirkuk kerosene sample to get a 42% improvement in the aniline point and a 12.5% improvement in the smoke point. The smoke point test values gave confusing results when the stabilization was increased to 4 days; the reason may be the chemical cracking of single-ring aromatic components into polyromantic components like naphthalene, which reduced the quality of the kerosene samples. The second set of experiments included only mixing and leaving the processed kerosene sample with 2 mL mixtures of glacial acetic acid and distilled water to set for 5 minutes. The greatest improvement was obtained when 1.8 mL of water containing 0.2 mL of glacial acetic acid was mixed with 10 mL of kerosene samples, resulting in a 19% improvement in aniline point and a 45% improvement in smoke point. The total sulfur percent and flashpoint tests revealed that the second set also had an acceptable chemical effect on kerosene samples by reducing 4.8% for the total sulfur test and increasing 11.7% for the flashpoint test. As a number, the first set of experiments showed better improvements in comparison with the second set, but to scale up these experiments and apply them industrially will be very difficult and expensive, and some steps are difficult to apply like centrifugation because of its high cost and because the stabilization step consumes a lot of time. Therefore, the second set of results will be more acceptable from an engineering point of view.
{"title":"Upgrading The Environmental Properties Of Kirkuk Kerosene Using Glacial Acetic Acid","authors":"Serwan Ibrahem Abdulkhader, Mohammed Jawdat Barzanjy","doi":"10.17993/3cemp.2023.120151.382-390","DOIUrl":"https://doi.org/10.17993/3cemp.2023.120151.382-390","url":null,"abstract":"Glacial acetic acid was used to improve Kirkuk kerosene samples and decrease their aromatics contents. Two sets of experimental processes were performed: the first set included more process steps (mixing by orbital shaker, heating, centrifugation, and stabilization over many days). This set of experiments showed its maximum improvement when 1 mL of glacial acetic acid was added to 10 mL of Kirkuk kerosene sample to get a 42% improvement in the aniline point and a 12.5% improvement in the smoke point. The smoke point test values gave confusing results when the stabilization was increased to 4 days; the reason may be the chemical cracking of single-ring aromatic components into polyromantic components like naphthalene, which reduced the quality of the kerosene samples. The second set of experiments included only mixing and leaving the processed kerosene sample with 2 mL mixtures of glacial acetic acid and distilled water to set for 5 minutes. The greatest improvement was obtained when 1.8 mL of water containing 0.2 mL of glacial acetic acid was mixed with 10 mL of kerosene samples, resulting in a 19% improvement in aniline point and a 45% improvement in smoke point. The total sulfur percent and flashpoint tests revealed that the second set also had an acceptable chemical effect on kerosene samples by reducing 4.8% for the total sulfur test and increasing 11.7% for the flashpoint test. As a number, the first set of experiments showed better improvements in comparison with the second set, but to scale up these experiments and apply them industrially will be very difficult and expensive, and some steps are difficult to apply like centrifugation because of its high cost and because the stabilization step consumes a lot of time. Therefore, the second set of results will be more acceptable from an engineering point of view.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123375704","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 : 2023-03-31DOI: 10.17993/3cemp.2023.120151.346-359
Manoj M. Joshi, A. Ubale
Tailor welded blanks (TWB) are used in automotive and aerospace industries as they offer weight saving followed by cost saving and improved fuel economy. Being light in weight and having low cost, Aluminum alloys have piqued the interest of scientists. Friction Stir Welding (FSW) is a well-known accepted technique used since 1991 worldwide for Aluminum and its alloys. Due to friction stir welding, mechanical changes occur due to stirring action at the joint. Also the inter-metallic compounds, kissing bond formation, onion ring formation etc. are defects encountered in the nugget zone of welding. Hence, a novel technique is suggested to carry out the friction stir welding using a blend of techniques viz. double sided friction stir welding and multi objective optimization of process parameters. For experimentation, AA 5182 and AA 5754-Aluminum Magnesium alloys of 5000 series are used with sheet size of 1.5 mm thickness. Experimentation was carried out on a vertical machining center, with circular, square, and triangular tool pin profiles with a tool rotational speed range between 1500 -1800 rpm and a welding speed range of 40 mm/min.-60 mm/min. For the analysis purpose, L9 orthogonal array was used and Grey Relational Analysis(GRA) was employed and ASTM standards were used for tensile testing. Base sample materials of AA 5182 and AA5754 are having ultimate tensile strengths of 289.58 N/mm2 and 220.75N/mm2respectively. The designed welded blank of the two materials recorded maximum ultimate tensile strength of 268.11N/mm2which was remarkable for FSW. Welded joint efficiency was found to be 92.73% and percentage elongation of TWB was found to be 44% as compared to the base metals.
{"title":"An Experimental Study On Friction Stir Welding Of Aluminum-Magnesium Alloys For Improved Mechanical Properties Of Tailor Welded Blanks.","authors":"Manoj M. Joshi, A. Ubale","doi":"10.17993/3cemp.2023.120151.346-359","DOIUrl":"https://doi.org/10.17993/3cemp.2023.120151.346-359","url":null,"abstract":"Tailor welded blanks (TWB) are used in automotive and aerospace industries as they offer weight saving followed by cost saving and improved fuel economy. Being light in weight and having low cost, Aluminum alloys have piqued the interest of scientists. Friction Stir Welding (FSW) is a well-known accepted technique used since 1991 worldwide for Aluminum and its alloys. Due to friction stir welding, mechanical changes occur due to stirring action at the joint. Also the inter-metallic compounds, kissing bond formation, onion ring formation etc. are defects encountered in the nugget zone of welding. Hence, a novel technique is suggested to carry out the friction stir welding using a blend of techniques viz. double sided friction stir welding and multi objective optimization of process parameters. For experimentation, AA 5182 and AA 5754-Aluminum Magnesium alloys of 5000 series are used with sheet size of 1.5 mm thickness. Experimentation was carried out on a vertical machining center, with circular, square, and triangular tool pin profiles with a tool rotational speed range between 1500 -1800 rpm and a welding speed range of 40 mm/min.-60 mm/min. For the analysis purpose, L9 orthogonal array was used and Grey Relational Analysis(GRA) was employed and ASTM standards were used for tensile testing. Base sample materials of AA 5182 and AA5754 are having ultimate tensile strengths of 289.58 N/mm2 and 220.75N/mm2respectively. The designed welded blank of the two materials recorded maximum ultimate tensile strength of 268.11N/mm2which was remarkable for FSW. Welded joint efficiency was found to be 92.73% and percentage elongation of TWB was found to be 44% as compared to the base metals.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"211 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124152211","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 : 2022-12-29DOI: 10.17993/3cemp.2022.110250.153-162
Roshni K. S., M. N. Mohamedunni
Mathematics teaching and learning has been a special focus in the academic discourse due to its felt complexity in teaching and learning. This felt complexity originate from the teacher preparation process itself. Covid 19 pandemic had given a drastic blow to all the educational activities. This has affected the curricular practices in an unimaginable way. An attempt is made here to examine the various problems faced by prospective teachers in online mathematics teaching and learning during the pandemic period. Samples were selected from government/aided/unaided colleges using stratified random sampling technique with the help of a questionnaire developed for the purpose. Analysis of the data has been carried out by using techniques such as percentage, t test and ANOVA. It is concluded from the study that the several hurdles and difficulties has been there specific to mathematics teaching and learning and majority of them were unhappy with the online mathematics teaching and learning.
{"title":"Problems of online mathematics teaching and learning during the pandemic: A reverberation in to the perception of prospective teachers.","authors":"Roshni K. S., M. N. Mohamedunni","doi":"10.17993/3cemp.2022.110250.153-162","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.153-162","url":null,"abstract":"Mathematics teaching and learning has been a special focus in the academic discourse due to its felt complexity in teaching and learning. This felt complexity originate from the teacher preparation process itself. Covid 19 pandemic had given a drastic blow to all the educational activities. This has affected the curricular practices in an unimaginable way. An attempt is made here to examine the various problems faced by prospective teachers in online mathematics teaching and learning during the pandemic period. Samples were selected from government/aided/unaided colleges using stratified random sampling technique with the help of a questionnaire developed for the purpose. Analysis of the data has been carried out by using techniques such as percentage, t test and ANOVA. It is concluded from the study that the several hurdles and difficulties has been there specific to mathematics teaching and learning and majority of them were unhappy with the online mathematics teaching and learning.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"304 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115932242","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 : 2022-12-29DOI: 10.17993/3cemp.2022.110250.64-74
Asadi Mehdi, Afshar Mehdi
In this paper, we study some results of existence and uniqueness of fixed points for a C-class of mappings satisfying an inequality of rational type in b-metric spaces. After definition of C-class functions covering a large class of contractive conditions by Ansari [2]. Our results extend very recent results in the literature; as well as Khan in [14] and later Fisher in [9] gave a revised improved version of Khan’s result and Piri in [17] a new generalization of Khan’s Theorem. At the end, we present an example of finding solutions for an integral equation.
{"title":"Fixed point theorems in the generalized rational type of C-class functions in b-metric spaces with Application to Integral Equation","authors":"Asadi Mehdi, Afshar Mehdi","doi":"10.17993/3cemp.2022.110250.64-74","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.64-74","url":null,"abstract":"In this paper, we study some results of existence and uniqueness of fixed points for a C-class of mappings satisfying an inequality of rational type in b-metric spaces. After definition of C-class functions covering a large class of contractive conditions by Ansari [2]. Our results extend very recent results in the literature; as well as Khan in [14] and later Fisher in [9] gave a revised improved version of Khan’s result and Piri in [17] a new generalization of Khan’s Theorem. At the end, we present an example of finding solutions for an integral equation.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134014691","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 : 2022-12-29DOI: 10.17993/3cemp.2022.110250.198-212
Zhibiao Zhu, Aimin Zheng
With the rapid development of China's regional agriculture, its consumption of energy, the squeezing and encroachment of the environment and the pollution of the ecological environment have been put on the agenda, which stems from the unreasonable management and regulation of the rapidly developing agricultural infrastructure. Aiming at the evaluation index cluster of agricultural management in Northeast China, the main structure of the digital information management platform of green ecological agriculture we built is divided into variable layer, middle layer and evaluation index layer, which is a superimposed and progressive layer structure design.The results show that compared with 2018, the use index of electronic agricultural products, per capita greening index, soil organic matter content index and per capita water content index increased by 30.34%, 6.14%, 25.34% and 30.26% respectively in 2019.The index of per capita desert land area decreased by 10.97%.The Sustainability Index experienced an unusual decrease in 2017-2018, with a drop of 0.08. Compared with 2018, the green ecological index from 2019 to 2021 increased by 5.94%, 8.58% and 12.87% respectively. This provides guidance for the structure and design of China's future agricultural development.
{"title":"Analysis of digital information Management of product market competition under the environment of agricultural product e-commerce","authors":"Zhibiao Zhu, Aimin Zheng","doi":"10.17993/3cemp.2022.110250.198-212","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.198-212","url":null,"abstract":"With the rapid development of China's regional agriculture, its consumption of energy, the squeezing and encroachment of the environment and the pollution of the ecological environment have been put on the agenda, which stems from the unreasonable management and regulation of the rapidly developing agricultural infrastructure. Aiming at the evaluation index cluster of agricultural management in Northeast China, the main structure of the digital information management platform of green ecological agriculture we built is divided into variable layer, middle layer and evaluation index layer, which is a superimposed and progressive layer structure design.The results show that compared with 2018, the use index of electronic agricultural products, per capita greening index, soil organic matter content index and per capita water content index increased by 30.34%, 6.14%, 25.34% and 30.26% respectively in 2019.The index of per capita desert land area decreased by 10.97%.The Sustainability Index experienced an unusual decrease in 2017-2018, with a drop of 0.08. Compared with 2018, the green ecological index from 2019 to 2021 increased by 5.94%, 8.58% and 12.87% respectively. This provides guidance for the structure and design of China's future agricultural development.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115647865","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 : 2022-12-29DOI: 10.17993/3cemp.2022.110250.94-102
Lakshmipriya Narayanan, G. Soundararajan
This short review article discusses the concavity method, one of the most effective ways to deal with parabolic equations with unbounded solutions in finite time. If the solution ceases to exist for some time, we say it blows up. The solution or some of its derivatives become singular depending on the equation. We focus on situations where the solution becomes unbounded in finite time, and our objective is to review some of the key blowup theory papers utilising the concavity method.
{"title":"Concavity Method: A concise survey","authors":"Lakshmipriya Narayanan, G. Soundararajan","doi":"10.17993/3cemp.2022.110250.94-102","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.94-102","url":null,"abstract":"This short review article discusses the concavity method, one of the most effective ways to deal with parabolic equations with unbounded solutions in finite time. If the solution ceases to exist for some time, we say it blows up. The solution or some of its derivatives become singular depending on the equation. We focus on situations where the solution becomes unbounded in finite time, and our objective is to review some of the key blowup theory papers utilising the concavity method.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127766689","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 : 2022-12-29DOI: 10.17993/3cemp.2022.110250.164-171
V. A. Anjali, Athul Augustine, P. Shankar
In this article, we show that concerning the spatial tensor product of W∗-algebras, the tensor product of two weak hyperrigid operator systems is weak hyperrigid. We prove this result by demonstrating unital completely positive maps have unique extension property for operator systems if and only if the tensor product of two unital completely positive maps has unique extension property for the tensor product of operator systems. Consequently, we prove as a corollary that the tensor product of two boundary representations for operator systems is boundary representation for the tensor product of operator systems. The corollary is an analogue result of Hopenwasser’s [9] in the setting of W∗-algebras.
{"title":"Tensor products of weak hyperrigid sets","authors":"V. A. Anjali, Athul Augustine, P. Shankar","doi":"10.17993/3cemp.2022.110250.164-171","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.164-171","url":null,"abstract":"In this article, we show that concerning the spatial tensor product of W∗-algebras, the tensor product of two weak hyperrigid operator systems is weak hyperrigid. We prove this result by demonstrating unital completely positive maps have unique extension property for operator systems if and only if the tensor product of two unital completely positive maps has unique extension property for the tensor product of operator systems. Consequently, we prove as a corollary that the tensor product of two boundary representations for operator systems is boundary representation for the tensor product of operator systems. The corollary is an analogue result of Hopenwasser’s [9] in the setting of W∗-algebras.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134205190","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}
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