These notes reflect partially the contents of a lecture given by the second author during the International Workshop on New Horizons in Teaching Science in Messina on June 2018. The intention of this lecture was to present a concise and self–contained introduction to the construction of the real field as the unique, up to increasing isomorphism, Dedekind complete totally ordered field.
{"title":"Elements of set theory and recursive arguments","authors":"G. Devillanova, Giovanni Molica Bisci","doi":"10.1478/AAPP.99S1A17","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A17","url":null,"abstract":"These notes reflect partially the contents of a lecture given by the second author during the International Workshop on New Horizons in Teaching Science in Messina on June 2018. The intention of this lecture was to present a concise and self–contained introduction to the construction of the real field as the unique, up to increasing isomorphism, Dedekind complete totally ordered field.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"17"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49642539","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}
By using the preliminary results given in a previous divulgative note, we present here a concise and self–contained introduction to the construction of the real field as the unique, up to increasing isomorphism, Dedekind complete totally ordered field. Moreover, we also show the equivalence between the Dedekind completeness property on totally ordered fields and some meaningful well–known notions present in the literature, such as the Cauchy completeness on totally ordered Archimedean fields. This characterization result allows us to correctly encode the Dedekind completeness for totally ordered fields in the general abstract setting of metric spaces. We believe that the essential parts of the paper can be easily accessed by anyone with some experience in abstract mathematical thinking. The paper completes the lecture given by the second author during the International Workshop on New Horizons in Teaching Science in Messina on June 2018.
{"title":"The fabulous destiny of Richard Dedekind","authors":"G. Devillanova, Giovanni Molica Bisci","doi":"10.1478/AAPP.99S1A18","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A18","url":null,"abstract":"By using the preliminary results given in a previous divulgative note, we present here a concise and self–contained introduction to the construction of the real field as the unique, up to increasing isomorphism, Dedekind complete totally ordered field. Moreover, we also show the equivalence between the Dedekind completeness property on totally ordered fields and some meaningful well–known notions present in the literature, such as the Cauchy completeness on totally ordered Archimedean fields. This characterization result allows us to correctly encode the Dedekind completeness for totally ordered fields in the general abstract setting of metric spaces. We believe that the essential parts of the paper can be easily accessed by anyone with some experience in abstract mathematical thinking. The paper completes the lecture given by the second author during the International Workshop on New Horizons in Teaching Science in Messina on June 2018.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"18"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45813965","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}
In this didactic paper we formulate a linear theory for magnetizable media in the framework of classical irreversible thermodynamics (CIT) and using its general methods we investigate the behaviour of these media and the possibility of cross effects among mgnetic phenomena, heat conduction, electric conduction and mechanical phenomena. In Galilean approximation all the processes occurring inside these materials are governed by two groups of laws: Maxwell equations and the balance equations. The entropy production is analyzed following the classical thermodynamic procedures and the constitutive equations in the linear anisotropic and isotropic case are derived. The obtained results have applications in several fields of applied sciences, like medicine, biology, physics, chemistry and others.
{"title":"A non-equilibrium thermodynamic approach to study the behaviour of magnetizable media","authors":"L. Restuccia","doi":"10.1478/AAPP.99S1A19","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A19","url":null,"abstract":"In this didactic paper we formulate a linear theory for magnetizable media in the framework of classical irreversible thermodynamics (CIT) and using its general methods we investigate the behaviour of these media and the possibility of cross effects among mgnetic phenomena, heat conduction, electric conduction and mechanical phenomena. In Galilean approximation all the processes occurring inside these materials are governed by two groups of laws: Maxwell equations and the balance equations. The entropy production is analyzed following the classical thermodynamic procedures and the constitutive equations in the linear anisotropic and isotropic case are derived. The obtained results have applications in several fields of applied sciences, like medicine, biology, physics, chemistry and others.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"19"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45479216","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}
F. D. Stefano, G. Giuliani, Dimitar Ouzounov, D. Cataldi, C. Fidani, A. d’Errico, Giulia Fioravanti
This contribution is addressed to an introductive university course on the correlation existing between radon emission and earthquakes processes held following a flipped-class approach where students receive didactic materials prior to face-to-face lessons. This research was initially started to investigate the real correlation between Radon emission from the Earth and the occurrence of strong earthquakes by using measurements of hourly Radon flow variation. During quiet seismogenic conditions, we observe an unvarying level of Radon emission in the air. Before a strong earthquake, substantial variations of Radon ( 222 Rn) concentration have been observed in the air, probably because of the increase of thermodynamic energy inside the Earth. The physical processes affecting earthquakes are still not fully understood; therefore, we are interested in investigating a wide variety of signals observed before an earthquake, ranging from chemical, electric, and magnetic variations. The goal is to be able to estimate the earthquake magnitude, timing also location in advance with a good approximation. The experimental observation and research studies were carried out by G. Giuliani Permanent Foundation since 2002 in Abruzzo. The innovative methodology of observations with Gamma detectors allowed us to reveal a close correlation between the different physical phenomena during the preparation phase of strong earthquakes. We master the methodology of measuring the hourly flow of 222 Rn gas decay, which provides a good correlation with the occurrence of strong earthquakes. To advance the reliability of our assessment, we added more parameters to our observations, such as magnetic and RF. The joint analysis advances our understanding of the processes underlying the earthquake occurrence. The experimental observation of Radon has been tested for more than a decade in the Abruzzo region. The initial results provided the baseline of reliable correlation between radon variations and earthquakes that could be used as an alert mechanism for the forthcoming seismic events. The multiparametric approach of detecting pre-earthquakes signals provided the robustness in detecting the earthquake preparation phase. There are no doubts that by expanding the network of gamma sensors, we achieve much better signal detection, which is critical for the better spatial correlation of Radon variations with the earthquake processes.
{"title":"Prevention and preparedness of the Strait of Messina - Reggio Calabria: An earthquake forecasting and didactic project","authors":"F. D. Stefano, G. Giuliani, Dimitar Ouzounov, D. Cataldi, C. Fidani, A. d’Errico, Giulia Fioravanti","doi":"10.1478/AAPP.99S1A40","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A40","url":null,"abstract":"This contribution is addressed to an introductive university course on the correlation existing between radon emission and earthquakes processes held following a flipped-class approach where students receive didactic materials prior to face-to-face lessons. This research was initially started to investigate the real correlation between Radon emission from the Earth and the occurrence of strong earthquakes by using measurements of hourly Radon flow variation. During quiet seismogenic conditions, we observe an unvarying level of Radon emission in the air. Before a strong earthquake, substantial variations of Radon ( 222 Rn) concentration have been observed in the air, probably because of the increase of thermodynamic energy inside the Earth. The physical processes affecting earthquakes are still not fully understood; therefore, we are interested in investigating a wide variety of signals observed before an earthquake, ranging from chemical, electric, and magnetic variations. The goal is to be able to estimate the earthquake magnitude, timing also location in advance with a good approximation. The experimental observation and research studies were carried out by G. Giuliani Permanent Foundation since 2002 in Abruzzo. The innovative methodology of observations with Gamma detectors allowed us to reveal a close correlation between the different physical phenomena during the preparation phase of strong earthquakes. We master the methodology of measuring the hourly flow of 222 Rn gas decay, which provides a good correlation with the occurrence of strong earthquakes. To advance the reliability of our assessment, we added more parameters to our observations, such as magnetic and RF. The joint analysis advances our understanding of the processes underlying the earthquake occurrence. The experimental observation of Radon has been tested for more than a decade in the Abruzzo region. The initial results provided the baseline of reliable correlation between radon variations and earthquakes that could be used as an alert mechanism for the forthcoming seismic events. The multiparametric approach of detecting pre-earthquakes signals provided the robustness in detecting the earthquake preparation phase. There are no doubts that by expanding the network of gamma sensors, we achieve much better signal detection, which is critical for the better spatial correlation of Radon variations with the earthquake processes.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"40"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45862937","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}
The aim of this paper is to explain to young students why chemoresistive metal oxide semiconductors (MOS) gas sensors are important and widely employed in many applications. The paper deals with the fundamentals principles of these devices and their continuous improvement, due to high level of compatibility with microelectronics technology and the employment of nanostructured materials as sensing interfaces. The main operating conditions and mechanisms are also described, in order to better understand the guidelines followed to improve these devices in terms of sensing performances (sensitivity, selectivity, fast response/recovery time, repeatability, and reliability) finalized to their practical applicability. Finally, we suggest a possible brief activity on how to explore gas
{"title":"Chemoresistive metal oxide gas sensor: working principles and applications","authors":"M. Latino, G. Neri","doi":"10.1478/AAPP.99S1A41","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A41","url":null,"abstract":"The aim of this paper is to explain to young students why chemoresistive metal oxide semiconductors (MOS) gas sensors are important and widely employed in many applications. The paper deals with the fundamentals principles of these devices and their continuous improvement, due to high level of compatibility with microelectronics technology and the employment of nanostructured materials as sensing interfaces. The main operating conditions and mechanisms are also described, in order to better understand the guidelines followed to improve these devices in terms of sensing performances (sensitivity, selectivity, fast response/recovery time, repeatability, and reliability) finalized to their practical applicability. Finally, we suggest a possible brief activity on how to explore gas ","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"41"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49041941","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}
María Salvador, D. Lago-Cachón, P. Calandra, Andrea Malito, D. Peddis
From the nano-world to solar systems length-scales span over several orders of magnitude. In young student it is therefore hard to fully understand the relative proportions among different objects even belonging to the same level of complexity. Resizing to humanrelated distances is an effective way to understand the relative distances in astronomic scales or the amount of information contained in a single cell. In general, the use of imagination is essential in educational research as well as the use of different skills in interdisciplinary works. Some appealing example will be given and the result of a pilot learning by doing teaching pathway involving hundreds of young students will be presented. Clues will give indications for future directions in educational research.
{"title":"From the astro to the nano scale: A learning by doing teaching pathway","authors":"María Salvador, D. Lago-Cachón, P. Calandra, Andrea Malito, D. Peddis","doi":"10.1478/AAPP.99S1A29","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A29","url":null,"abstract":"From the nano-world to solar systems length-scales span over several orders of magnitude. In young student it is therefore hard to fully understand the relative proportions among different objects even belonging to the same level of complexity. Resizing to humanrelated distances is an effective way to understand the relative distances in astronomic scales or the amount of information contained in a single cell. In general, the use of imagination is essential in educational research as well as the use of different skills in interdisciplinary works. Some appealing example will be given and the result of a pilot learning by doing teaching pathway involving hundreds of young students will be presented. Clues will give indications for future directions in educational research.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"29"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49652009","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}
U. Wanderlingh, C. Branca, V. Nibali, Giovanna Ruello, U. Wanderlingh
The presentation will illustrate how to realize, in a transparent tank, a stable refractive index gradient by using sucrose solutions and a gelling agent. The apparatus will be used in a classroom for hand-on experiments on the refraction of light and on related topics, with particular emphasis on atmospheric effects such as mirages and Fata Morgana. Besides, in the preparation of this activity thermodynamical concepts, such as solubility, phase transitions and thermal stability are also involved. The ingredients and tools used in the preparation are easily available in household stores and do not present any risk of serious injuries. The potential applications of a refractive index gradient for optical fibres will be illustrated as well.
{"title":"Mirage in a box: a classroom activity on the refractive index gradient","authors":"U. Wanderlingh, C. Branca, V. Nibali, Giovanna Ruello, U. Wanderlingh","doi":"10.1478/AAPP.99S1A21","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A21","url":null,"abstract":"The presentation will illustrate how to realize, in a transparent tank, a stable refractive index gradient by using sucrose solutions and a gelling agent. The apparatus will be used in a classroom for hand-on experiments on the refraction of light and on related topics, with particular emphasis on atmospheric effects such as mirages and Fata Morgana. Besides, in the preparation of this activity thermodynamical concepts, such as solubility, phase transitions and thermal stability are also involved. The ingredients and tools used in the preparation are easily available in household stores and do not present any risk of serious injuries. The potential applications of a refractive index gradient for optical fibres will be illustrated as well.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"21"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46753738","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}
In this didactic paper, using a statistical approach, we introduce the Mediterranean diet, recognized culturally as the patrimony of UNESCO, that promotes a consumption of agrifood, containing vitamin C and crude fibre, that have beneficial effects on the health. This contribution is based on previous papers, where a set of 26 species of horticultural plants, used in Mediterranean diet, was examined from the statistical point of view, obtaining easily accessible and useful results. In particular the recorded content of vitamin C and crude fibre of the considered plants, based on literature data, have been analyzed as two sample variables. Graphic representations and statistical studies are given for these 2 variables. From the average values found of crude fibre and vitamin C contents, ingested by the human organism through the consumption of the considered fruits and vegetables, it can be seen that it is necessary to follow a diet rich in vitamin C and crude fibre to prevent disease, in accordance with medical standards and directives coming from several national and international nutrition organizations, and thus to promote the Mediterranean diet, that represents the initial steps to longevity and good health.
{"title":"A statistical approach to the study of vitamin C and crude fiber in some horticultural plants to introduce the Mediterranean diet","authors":"G. Bella, N. Cicero, Alessandra Scinelli","doi":"10.1478/AAPP.99S1A20","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A20","url":null,"abstract":"In this didactic paper, using a statistical approach, we introduce the Mediterranean diet, recognized culturally as the patrimony of UNESCO, that promotes a consumption of agrifood, containing vitamin C and crude fibre, that have beneficial effects on the health. This contribution is based on previous papers, where a set of 26 species of horticultural plants, used in Mediterranean diet, was examined from the statistical point of view, obtaining easily accessible and useful results. In particular the recorded content of vitamin C and crude fibre of the considered plants, based on literature data, have been analyzed as two sample variables. Graphic representations and statistical studies are given for these 2 variables. From the average values found of crude fibre and vitamin C contents, ingested by the human organism through the consumption of the considered fruits and vegetables, it can be seen that it is necessary to follow a diet rich in vitamin C and crude fibre to prevent disease, in accordance with medical standards and directives coming from several national and international nutrition organizations, and thus to promote the Mediterranean diet, that represents the initial steps to longevity and good health.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"20"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46049916","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}
Sebastiano Ettore Spoto, Alessandro Boncaldo, Andrea Capodivento, Michele Di Agosto, Domenico Maccarone, Davide Scibilia
Educational practice and, in particular, the flipped classroom models have had a significant impact on higher education recently. Challenging students with questions and problem – solving activities to learn course material is the educational approach used in the course of "Physics of Environmental Processes" that has been taught during the 2019-2020 academic year within the teaching activities of the Master of Science in "Geophysical Sciences for Seismic Risk" at the University of Messina. The study of complex systems, such as the relationship between aviation and the volcanic ash hazard, is highlighted in this paper. The particular subject being discussed in this paper presents the properties of complex systems due to the range of interdisciplinary scientific disciplines, ranging from various branches of physics to aeronautical engineering, chemistry, mathematics, volcanology, mineralogy, and management engineering, that students need to analyze and understand by using the flipped classroom model.
{"title":"Aviation and volcanic ash hazards: a flipped classroom approach to study complex systems","authors":"Sebastiano Ettore Spoto, Alessandro Boncaldo, Andrea Capodivento, Michele Di Agosto, Domenico Maccarone, Davide Scibilia","doi":"10.1478/AAPP.99S1A36","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A36","url":null,"abstract":"Educational practice and, in particular, the flipped classroom models have had a significant impact on higher education recently. Challenging students with questions and problem – solving activities to learn course material is the educational approach used in the course of \"Physics of Environmental Processes\" that has been taught during the 2019-2020 academic year within the teaching activities of the Master of Science in \"Geophysical Sciences for Seismic Risk\" at the University of Messina. The study of complex systems, such as the relationship between aviation and the volcanic ash hazard, is highlighted in this paper. The particular subject being discussed in this paper presents the properties of complex systems due to the range of interdisciplinary scientific disciplines, ranging from various branches of physics to aeronautical engineering, chemistry, mathematics, volcanology, mineralogy, and management engineering, that students need to analyze and understand by using the flipped classroom model.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"36"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44372228","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}
Mobile devices have nowadays become familiar instruments of our daily lives. Due to the presence of more and more sophisticated and precise environmental sensors and to the development of more and more user-friendly APPs able to read and analyse data, the interest in the educational context of smartphones, the number of proposals and their quality have rapidly increased in the last years. Our research group in physics education promoted various activities in which students, in the role of “active researchers”, tested some of the available APPs and used them to perform qualitative and quantitative experiments with the aim to improve learning. Here we suggest some significant experimental activity that our partners-student performed with his/her smartphone and low-cost equipment on sound, acceleration, optics and spectroscopy.
{"title":"Experimental use of mobile APPs in physics education","authors":"D. Buongiorno, M. Michelini","doi":"10.1478/AAPP.99S1A22","DOIUrl":"https://doi.org/10.1478/AAPP.99S1A22","url":null,"abstract":"Mobile devices have nowadays become familiar instruments of our daily lives. Due to the presence of more and more sophisticated and precise environmental sensors and to the development of more and more user-friendly APPs able to read and analyse data, the interest in the educational context of smartphones, the number of proposals and their quality have rapidly increased in the last years. Our research group in physics education promoted various activities in which students, in the role of “active researchers”, tested some of the available APPs and used them to perform qualitative and quantitative experiments with the aim to improve learning. Here we suggest some significant experimental activity that our partners-student performed with his/her smartphone and low-cost equipment on sound, acceleration, optics and spectroscopy.","PeriodicalId":43431,"journal":{"name":"Atti Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche Matematiche e Naturali","volume":"99 1","pages":"22"},"PeriodicalIF":0.4,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48650846","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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