The concept of stability of a class of fractional-order linear system is considered in this paper. Existing sufficient conditions are assumed to guarantee the stability of linear models with the Caputo fractional derivatives. The results have been developed by using the concept of Laplace transform, and approximations of Mittag-Leffler. Furthermore, results concerning asymptotical stability of linear fractional-order models are also achieved. The proposed method is based upon Eigen values and the characteristic polynomials. Numerical illustrations are specified to exhibit effectiveness of the proposed method.
{"title":"Some Numerical Examples on the Stability of Fractional Linear Dynamical Systems","authors":"S. Priyadharsini","doi":"10.12723/MJS.46.5","DOIUrl":"https://doi.org/10.12723/MJS.46.5","url":null,"abstract":"The concept of stability of a class of fractional-order linear system is considered in this paper. Existing sufficient conditions are assumed to guarantee the stability of linear models with the Caputo fractional derivatives. The results have been developed by using the concept of Laplace transform, and approximations of Mittag-Leffler. Furthermore, results concerning asymptotical stability of linear fractional-order models are also achieved. The proposed method is based upon Eigen values and the characteristic polynomials. Numerical illustrations are specified to exhibit effectiveness of the proposed method.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"52 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86844616","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}
For a given finite set T including zero, an L(t, 1)-colouring of a graph G is an assignment of non-negative integers to the vertices of G such that the difference between the colours of adjacent vertices must not belong to the set T and the colours of vertices that are at distance two must be distinct. For a graph G, the L(t, 1)-span of G is the minimum of the highest colour used to colour the vertices of a graph out of all the possible L(t, 1)-colourings. We study the L(t, 1)-span of cycles with respect to specific sets.
{"title":"L(t, 1)-Colouring of Cycles","authors":"P. Pandey, J. V. Kureethara","doi":"10.12723/MJS.46.3","DOIUrl":"https://doi.org/10.12723/MJS.46.3","url":null,"abstract":"For a given finite set T including zero, an L(t, 1)-colouring of a graph G is an assignment of non-negative integers to the vertices of G such that the difference between the colours of adjacent vertices must not belong to the set T and the colours of vertices that are at distance two must be distinct. For a graph G, the L(t, 1)-span of G is the minimum of the highest colour used to colour the vertices of a graph out of all the possible L(t, 1)-colourings. We study the L(t, 1)-span of cycles with respect to specific sets.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"59 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84610398","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 paper, odd-even sum labeling of the graphs obtained by duplication of graph elements of stars and paths are studied
本文研究了由星图元素与路径图元素重叠得到的图的奇偶和标记问题
{"title":"Odd-even sum labeling in the context of duplication of graph elements","authors":"K. Monika, K. Murugan","doi":"10.12723/MJS.46.2","DOIUrl":"https://doi.org/10.12723/MJS.46.2","url":null,"abstract":"In this paper, odd-even sum labeling of the graphs obtained by duplication of graph elements of stars and paths are studied","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"89 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85959095","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}
A graph G is said to be SD-harmonious labeling if there exists an injection f: V(G) -> {0,1,2,...,q} such that the induced function f*: E(G) ->{0,2,...,2q-2} defined by f(uv)=S+D (mod 2q) is bijective, where S=f(u)+f(v) and D=|f(u)-f(v)|, for every edge uv in E(G). A graph which admits SD-harmonious labeling is called SD-harmonious graph. In this paper, we investigate SD-harmonious labeling of path related graphs, tree related graphs, star related graphs and disjoint union of graphs.
{"title":"On SD-Harmonious Labeling","authors":"A. Lourdusamy, S. J. Wency, F. Patrick","doi":"10.12723/MJS.46.1","DOIUrl":"https://doi.org/10.12723/MJS.46.1","url":null,"abstract":"A graph G is said to be SD-harmonious labeling if there exists an injection f: V(G) -> {0,1,2,...,q} such that the induced function f*: E(G) ->{0,2,...,2q-2} defined by f(uv)=S+D (mod 2q) is bijective, where S=f(u)+f(v) and D=|f(u)-f(v)|, for every edge uv in E(G). A graph which admits SD-harmonious labeling is called SD-harmonious graph. In this paper, we investigate SD-harmonious labeling of path related graphs, tree related graphs, star related graphs and disjoint union of graphs.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"250 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91533618","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}
Pregnancy is the typical stage in every life cycle of woman where many biochemical and physiological changes take place in all the systems. The adaptation of these changes by the human body differs from one individual to another and it may result in many threats. Gestational Diabetics (GD) is one of the serious threats faced by women during pregnancy. The outbreak of GD is the resultant of several factors which are categorized as genetic, environmental, social and behavioural. The mitigation of this diabetic condition is very essential as it affects the foetus and the mother. The consequential impacts of the factors of GD have to be determined to initiate the preventive measures and to devise the curative medications in accordance to it. This paper introduces the concept of linguistic average super fuzzy cognitive map (LASFCM) which makes use of experts' opinion in terms of linguistic variables to find the substantial outbreak of GD.
{"title":"Causative Factors of Gestational Diabetics in Women – An analysis on the consequential impacts using LASFCM","authors":"N. Martin","doi":"10.12723/MJS.46.4","DOIUrl":"https://doi.org/10.12723/MJS.46.4","url":null,"abstract":"Pregnancy is the typical stage in every life cycle of woman where many biochemical and physiological changes take place in all the systems. The adaptation of these changes by the human body differs from one individual to another and it may result in many threats. Gestational Diabetics (GD) is one of the serious threats faced by women during pregnancy. The outbreak of GD is the resultant of several factors which are categorized as genetic, environmental, social and behavioural. The mitigation of this diabetic condition is very essential as it affects the foetus and the mother. The consequential impacts of the factors of GD have to be determined to initiate the preventive measures and to devise the curative medications in accordance to it. This paper introduces the concept of linguistic average super fuzzy cognitive map (LASFCM) which makes use of experts' opinion in terms of linguistic variables to find the substantial outbreak of GD.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82697214","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}
Design of novel materials is the key to ground breaking advancements in energy conversion. Solar radiation is a clean energy source with low environment impact but is still a difficult technology to be implemented on a large scale because of being an expensive technology. If global demands are to be met, new classes of solar cells with increased efficiency, reduced cost and new form factors must be developed. A lot of research is ongoing to find efficient materials which can supplement or supersede the existing silicon technology. In this review a general introduction covers the current scenario of energy demands of the world and where we stand in the search for alternative energy resources. A brief look into the working of photovoltaic systems and the conditions required to fabricate an ideal solar cell follows. Some of the advanced systems incorporated in solar cells over the past 20 years.
{"title":"Advanced Materials for Photovoltaic Energy Harvesting","authors":"Kezia Sasitharan","doi":"10.12723/mjs.45.1","DOIUrl":"https://doi.org/10.12723/mjs.45.1","url":null,"abstract":"Design of novel materials is the key to ground breaking advancements in energy conversion. Solar radiation is a clean energy source with low environment impact but is still a difficult technology to be implemented on a large scale because of being an expensive technology. If global demands are to be met, new classes of solar cells with increased efficiency, reduced cost and new form factors must be developed. A lot of research is ongoing to find efficient materials which can supplement or supersede the existing silicon technology. In this review a general introduction covers the current scenario of energy demands of the world and where we stand in the search for alternative energy resources. A brief look into the working of photovoltaic systems and the conditions required to fabricate an ideal solar cell follows. Some of the advanced systems incorporated in solar cells over the past 20 years.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88748832","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 present work reports synthesis and characterization of different benzoxazinone derivatives. 2-methyl-7-nitro-4H-3,1-benzoxazin-4-one was prepared by refluxing 4- nitroanthranilic acid with acid anhydride. Derivatives of 2-methyl-7-nitro-4H-3,1-benzoxazin-4-one were synthesized by condensation of it with different anilines. Elemental analysis and NMR spectral studies were used to confirm the formation of compounds.
{"title":"Synthesis and Characterization of Benzoxazinone Derivatives","authors":"Nefisath P, Vishwanatha P, S. N","doi":"10.12723/mjs.45.4","DOIUrl":"https://doi.org/10.12723/mjs.45.4","url":null,"abstract":"The present work reports synthesis and characterization of different benzoxazinone derivatives. 2-methyl-7-nitro-4H-3,1-benzoxazin-4-one was prepared by refluxing 4- nitroanthranilic acid with acid anhydride. Derivatives of 2-methyl-7-nitro-4H-3,1-benzoxazin-4-one were synthesized by condensation of it with different anilines. Elemental analysis and NMR spectral studies were used to confirm the formation of compounds.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"70 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85043689","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}
This work explores the comprehensive development of a near infrared (NIR) spectroscopic analytical technique for high-throughput applications for the determination of pharmaceutical raw materials and excipients in a pharmaceutical formulation. Advancements in the NIR spectrometry as quality and process control tool have been discussed. The applications include analyses of different types of samples, manufacturing and identification of active pharmaceutical ingredients based on specified experimental design. The samples were measured in diffusion or reflectance mode in a fourier-transform NIR spectrometer. Additionally, chemometric software was employed for quantitative interpretation of bands. The spectrometry can be utilized for identification of raw materials, their size, polymorphism and blend homogeneity.
{"title":"Near Infrared Spectroscopy: Applications In Pharmaceutical Industry","authors":"M. George","doi":"10.12723/MJS.45.5","DOIUrl":"https://doi.org/10.12723/MJS.45.5","url":null,"abstract":"This work explores the comprehensive development of a near infrared (NIR) spectroscopic analytical technique for high-throughput applications for the determination of pharmaceutical raw materials and excipients in a pharmaceutical formulation. Advancements in the NIR spectrometry as quality and process control tool have been discussed. The applications include analyses of different types of samples, manufacturing and identification of active pharmaceutical ingredients based on specified experimental design. The samples were measured in diffusion or reflectance mode in a fourier-transform NIR spectrometer. Additionally, chemometric software was employed for quantitative interpretation of bands. The spectrometry can be utilized for identification of raw materials, their size, polymorphism and blend homogeneity.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"107 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90761637","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 Large Magellanic Cloud (LMC) hosts a few thousand star clusters which are ideal tools to study stellar evolution, star formation history, cluster formation and dissolution processes in the galaxy. Although many surveys (like IRSF, OGLE II etc) of the LMC have been carried out, a large fraction of clusters, mainly poor ones are yet to be identified. Also, the parameters of already identified clusters are not well studied. In this context, we have tried to explore that among the available and upcoming surveys which survey (optical/NIR) can be used to efficiently detect and study the clusters in the LMC. We have found that the available OGLE-III optical data is ideal for this purpose, but only for young clusters, whereas Deeper optical data from DECAM survey, OGLE-IV and skymapper are ideal to study poor and old clusters. We have also found that one can combine the ongoing VISTA data with upcoming optical data (OGLE IV) and estimate the cluster parameters more accurately.
{"title":"Methods to Identify Star Clusters in The Large Magellanic Cloud (LMC)","authors":"P. K. Nayak, A. Subramaniam","doi":"10.12723/MJS.44.6","DOIUrl":"https://doi.org/10.12723/MJS.44.6","url":null,"abstract":"The Large Magellanic Cloud (LMC) hosts a few thousand star clusters which are ideal tools to study stellar evolution, star formation history, cluster formation and dissolution processes in the galaxy. Although many surveys (like IRSF, OGLE II etc) of the LMC have been carried out, a large fraction of clusters, mainly poor ones are yet to be identified. Also, the parameters of already identified clusters are not well studied. In this context, we have tried to explore that among the available and upcoming surveys which survey (optical/NIR) can be used to efficiently detect and study the clusters in the LMC. We have found that the available OGLE-III optical data is ideal for this purpose, but only for young clusters, whereas Deeper optical data from DECAM survey, OGLE-IV and skymapper are ideal to study poor and old clusters. We have also found that one can combine the ongoing VISTA data with upcoming optical data (OGLE IV) and estimate the cluster parameters more accurately.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"29 1","pages":"57-73"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81652965","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}
S. Routh, A. Bhattacharya, Snehanshu Saha, M. Jagadeesh
Acoustic waves are those waves which travel with the speed of sound through a medium. H. Lamb (1909, 1910) had derived a cutoff frequency for stratified and isothermal medium for the propagation of acoustic waves. In order to find the cutoff frequency many methods were introduced after Lamb's work. In this paper, we have chosen the turning point frequency method following Musielak et.al(2006) Routh et. al.(2014) to determine cutoff frequencies for acoustic waves propagating in non-isothermal medium which can be applied to various atmospheres like solar atmosphere, stellar atmosphere, earth's atmosphere etc. Here, we have analytically derived the cutoff frequency and have analyzed and compared with the Lamb's cut-off frequency for earth's troposphere.
{"title":"Propagation Characteristics of Acoustic Wave in Non-Isothermal Earth’s Atmospheres","authors":"S. Routh, A. Bhattacharya, Snehanshu Saha, M. Jagadeesh","doi":"10.12723/MJS.44.5","DOIUrl":"https://doi.org/10.12723/MJS.44.5","url":null,"abstract":"Acoustic waves are those waves which travel with the speed of sound through a medium. H. Lamb (1909, 1910) had derived a cutoff frequency for stratified and isothermal medium for the propagation of acoustic waves. In order to find the cutoff frequency many methods were introduced after Lamb's work. In this paper, we have chosen the turning point frequency method following Musielak et.al(2006) Routh et. al.(2014) to determine cutoff frequencies for acoustic waves propagating in non-isothermal medium which can be applied to various atmospheres like solar atmosphere, stellar atmosphere, earth's atmosphere etc. Here, we have analytically derived the cutoff frequency and have analyzed and compared with the Lamb's cut-off frequency for earth's troposphere.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"102 1","pages":"47-56"},"PeriodicalIF":0.0,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88248515","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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