Pub Date : 2019-08-28DOI: 10.29218/srmsmaths.v5i1.3
Naveen Kumar, Rashmi Yadav, S. R. Singh
Finding the nth term and the sum of n terms in Arithmetic Progression is very easy if the number of terms is small but it is bulky if the number of terms is larger and takes larger time and also takes our large efforts and difficulties. On the other hand, the Vedic Mathematics works opposite as the modern mathematics so if we use the third sutra of Vedic Mathematics known as Urdhvatiryagbhyam, seventh sutra known as Sankalan-Vyavkalanabhyam and Upa-sutra(Subformula) Antyyoravto of 9th sutra 'Calana - Kalanabhyam’ finding the nth term and the sum of n term’s in Arithmetic Progression it takes our large effect’s reduced around 60-65% and also takes small-time comparatively modern mathematics. The arithmetic pattern is one of the easiest series to study. It contains adding or subtracting from a common difference (d), for generating a string of the interrelated numbers. Thus In this document, we present the comparison to find the nth term and the sum of n terms in Arithmetic Progression by using modern mathematics and Vedic mathematics.
{"title":"Comparative Study of Arithmetic Progression By Using Modern and Vedic Mathematics","authors":"Naveen Kumar, Rashmi Yadav, S. R. Singh","doi":"10.29218/srmsmaths.v5i1.3","DOIUrl":"https://doi.org/10.29218/srmsmaths.v5i1.3","url":null,"abstract":"Finding the nth term and the sum of n terms in Arithmetic Progression is very easy if the number of terms is small but it is bulky if the number of terms is larger and takes larger time and also takes our large efforts and difficulties. On the other hand, the Vedic Mathematics works opposite as the modern mathematics so if we use the third sutra of Vedic Mathematics known as Urdhvatiryagbhyam, seventh sutra known as Sankalan-Vyavkalanabhyam and Upa-sutra(Subformula) Antyyoravto of 9th sutra 'Calana - Kalanabhyam’ finding the nth term and the sum of n term’s in Arithmetic Progression it takes our large effect’s reduced around 60-65% and also takes small-time comparatively modern mathematics. The arithmetic pattern is one of the easiest series to study. It contains adding or subtracting from a common difference (d), for generating a string of the interrelated numbers. Thus In this document, we present the comparison to find the nth term and the sum of n terms in Arithmetic Progression by using modern mathematics and Vedic mathematics.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114442000","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 : 2019-08-28DOI: 10.29218/srmsmaths.v5i1.2
Suneet Saxena
In software reliability analysis various authors have used Burr type XII distribution to model the failure pattern of the system due to its wide variety of flexible shapes. In particular cases it can be reduced to Exponential, Normal, Weibull, Log-logistic, Gamma distributions etc. In proposed paper software reliability growth model has been developed incorporating fault removal efficiency (FRE) and Burr type XII based testing effort function. FRE represents fraction of detected faults which are removed completely. Parameters of model are predicted by LSE whereas MSE is used to perform comparison analysis. Results validate better fitting of data set.
{"title":"Software Reliability Growth Modeling Involving Burr Type XII distribution and Fault Removal Efficiency","authors":"Suneet Saxena","doi":"10.29218/srmsmaths.v5i1.2","DOIUrl":"https://doi.org/10.29218/srmsmaths.v5i1.2","url":null,"abstract":"In software reliability analysis various authors have used Burr type XII distribution to model the failure pattern of the system due to its wide variety of flexible shapes. In particular cases it can be reduced to Exponential, Normal, Weibull, Log-logistic, Gamma distributions etc. In proposed paper software reliability growth model has been developed incorporating fault removal efficiency (FRE) and Burr type XII based testing effort function. FRE represents fraction of detected faults which are removed completely. Parameters of model are predicted by LSE whereas MSE is used to perform comparison analysis. Results validate better fitting of data set.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133872796","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 : 2019-08-28DOI: 10.29218/srmsmaths.v5i1.1
M. Tripathi
Existence of a mild solution of the neutral integrodifferential equations with fractional order is established. We used the methods of the fractional power of operators as well as the Sadovskii’s fixed point theorem for getting the main outcomes.
{"title":"Fractional Order Neutral Mixed Integrodifferential Evolution Equations","authors":"M. Tripathi","doi":"10.29218/srmsmaths.v5i1.1","DOIUrl":"https://doi.org/10.29218/srmsmaths.v5i1.1","url":null,"abstract":"Existence of a mild solution of the neutral integrodifferential equations with fractional order is established. We used the methods of the fractional power of operators as well as the Sadovskii’s fixed point theorem for getting the main outcomes.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124752716","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 : 2019-07-18DOI: 10.29218/srmsmaths.v6i1.04
Priyank Gupta, K. K. Gupta
Cloud computing is a currently developed computing paradigm that can be utilized to deliverall services to various platforms. Cloud computing is rapidly being implemented in educationalinstitutions and is quickly becoming an integral element of the learning process. For educationalinstitutes to find chances to apply cloud computing in its context, a systematic review of thesevarious contributions, which give a consistent taxonomy, may be deemed valuable. This reviewwill strengthen this information by offering a deep analysis of the existing data to bridge anygap and add to the current body of knowledge. The study identifies and analyses the benefitsand hazards that cloud computing may have for education's primary stakeholders, which mightbe beneficial in identifying instances where cloud computing may have numerous advantagesin an educational environment.
{"title":"A review on Cloud Computing in Education","authors":"Priyank Gupta, K. K. Gupta","doi":"10.29218/srmsmaths.v6i1.04","DOIUrl":"https://doi.org/10.29218/srmsmaths.v6i1.04","url":null,"abstract":"Cloud computing is a currently developed computing paradigm that can be utilized to deliverall services to various platforms. Cloud computing is rapidly being implemented in educationalinstitutions and is quickly becoming an integral element of the learning process. For educationalinstitutes to find chances to apply cloud computing in its context, a systematic review of thesevarious contributions, which give a consistent taxonomy, may be deemed valuable. This reviewwill strengthen this information by offering a deep analysis of the existing data to bridge anygap and add to the current body of knowledge. The study identifies and analyses the benefitsand hazards that cloud computing may have for education's primary stakeholders, which mightbe beneficial in identifying instances where cloud computing may have numerous advantagesin an educational environment.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128720754","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 : 2019-05-24DOI: 10.29218/srmsmaths.v6i1.01
K. A. Sakthi, R. Rajeswari, N. Meenakumari
A graph be a graph with n vertices and m edges. A graph G admits 2-divisor luckylabeling if be a labeling of vertices of graph G from {1,2,3,…,n}. Definewhere N(v) is the neighborhood of v such that s(u) ≠ s(v) for every pair ofadjacent vertices u and v in G. The vertex 2-divisor lucky number is the least number from theset {1,2,…,n} that has been used to label the graph G. It is denoted by In this paper wehave investigated for some types of identity graphs of finite group and some zero-divisor graphs
{"title":"2-Divisor Lucky Labeling of some Identity Graphs of Finite Group and some Zero-Divisor Graphs","authors":"K. A. Sakthi, R. Rajeswari, N. Meenakumari","doi":"10.29218/srmsmaths.v6i1.01","DOIUrl":"https://doi.org/10.29218/srmsmaths.v6i1.01","url":null,"abstract":"A graph be a graph with n vertices and m edges. A graph G admits 2-divisor luckylabeling if be a labeling of vertices of graph G from {1,2,3,…,n}. Definewhere N(v) is the neighborhood of v such that s(u) ≠ s(v) for every pair ofadjacent vertices u and v in G. The vertex 2-divisor lucky number is the least number from theset {1,2,…,n} that has been used to label the graph G. It is denoted by In this paper wehave investigated for some types of identity graphs of finite group and some zero-divisor graphs","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"114 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128207079","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 : 2019-03-28DOI: 10.29218/srmsmaths.v6i1.02
Sovan Mohanty, Kamran Ashraf
Maxwell's equations have been used in time domain analysis, and it has been successful in a wide range of applications. Writing computer code to solve a straightforward scattering issue requires minimal effort than conventional frequency domain methods. However, issues arise when the time domain approach is employed to resolve arbitrarily complex problems. The simple time domain algorithm is not adequate for many real-world problems. For appropriate excitation in the time domain, for example, a waveguide transition analysis should have information on the incoming and outgoing mode patterns. If there is a time-varying current, then there is a possibility that it may produce radiation. In cases like this, frequency and time domain analysis is necessary, and their combination will produce an effective outcome. This paper provides a systematic and extensive determination of far-field time harmonic electromagnetic field, power flow, and radiation pattern in a desired direction of a radiating element.
{"title":"A Systematic and Extensive Determination of Far Field Time Harmonic Electromagnetic Field of a Radiating Element","authors":"Sovan Mohanty, Kamran Ashraf","doi":"10.29218/srmsmaths.v6i1.02","DOIUrl":"https://doi.org/10.29218/srmsmaths.v6i1.02","url":null,"abstract":"Maxwell's equations have been used in time domain analysis, and it has been successful in a wide range of applications. Writing computer code to solve a straightforward scattering issue requires minimal effort than conventional frequency domain methods. However, issues arise when the time domain approach is employed to resolve arbitrarily complex problems. The simple time domain algorithm is not adequate for many real-world problems. For appropriate excitation in the time domain, for example, a waveguide transition analysis should have information on the incoming and outgoing mode patterns. If there is a time-varying current, then there is a possibility that it may produce radiation. In cases like this, frequency and time domain analysis is necessary, and their combination will produce an effective outcome. This paper provides a systematic and extensive determination of far-field time harmonic electromagnetic field, power flow, and radiation pattern in a desired direction of a radiating element.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122525779","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 : 2018-12-30DOI: 10.29218/srmsjoms.v4i01.15951
Anuj Kumar, M. Chauhan
Some properties of pseudo-differential operators on Schwartz space S(Rn) are studied by using the fractional Fourier transform.
利用分数阶傅里叶变换研究了Schwartz空间S(Rn)上伪微分算子的一些性质。
{"title":"Some Properties of Pseudo-Differential Operators Involving Fractional Fourier Transform","authors":"Anuj Kumar, M. Chauhan","doi":"10.29218/srmsjoms.v4i01.15951","DOIUrl":"https://doi.org/10.29218/srmsjoms.v4i01.15951","url":null,"abstract":"Some properties of pseudo-differential operators on Schwartz space S(Rn) are studied by using the fractional Fourier transform.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134038473","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 : 2018-12-30DOI: 10.29218/SRMSJOMS.V4I01.15908
S. Kandwal, A. Mishra, Manoj Kumar
The object of present work is to capture the impact of chemical reaction and mass diffusion on Ag-water nanofluid along an inclined stretching cylinder. The effects of viscous dissipation and heat generation/absorption are incorporated on principal equations of the problem. The suitable transformations are used to convert governing equations into nondimensional ODEs. Then equations with boundary conditions are solved with Runge-Kutta-Fehlberg method of 4-5th order with shooting technique. The relevant parameters impact on velocity, temperature and concentration are shown through graphs. The result shows that increasing value of chemical reaction parameter is responsible for increasing rate of mass transfer.
{"title":"Impact of Chemical Reaction on Ag-Water Nanofluid Flow and Heat Transfer Due to an Inclined Stretching Cylinder","authors":"S. Kandwal, A. Mishra, Manoj Kumar","doi":"10.29218/SRMSJOMS.V4I01.15908","DOIUrl":"https://doi.org/10.29218/SRMSJOMS.V4I01.15908","url":null,"abstract":"The object of present work is to capture the impact of chemical reaction and mass diffusion on Ag-water nanofluid along an inclined stretching cylinder. The effects of viscous dissipation and heat generation/absorption are incorporated on principal equations of the problem. The suitable transformations are used to convert governing equations into nondimensional ODEs. Then equations with boundary conditions are solved with Runge-Kutta-Fehlberg method of 4-5th order with shooting technique. The relevant parameters impact on velocity, temperature and concentration are shown through graphs. The result shows that increasing value of chemical reaction parameter is responsible for increasing rate of mass transfer.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126379601","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 : 2018-12-18DOI: 10.29218/srmsmaths.v4i1.59
A. Agnihotri
In paper [1], certain new summation and transformation formulae for basic hypergeometric series by using the Cauchy augmentation operator are established. In the present paper, we shall deal with parameter augmentation by using Cauchy augmentation operator in some more known identities and establish some new results.
{"title":"Parameter Augmentation For Basic Hypergeometric Series By Cauchy Operator","authors":"A. Agnihotri","doi":"10.29218/srmsmaths.v4i1.59","DOIUrl":"https://doi.org/10.29218/srmsmaths.v4i1.59","url":null,"abstract":"In paper [1], certain new summation and transformation formulae for basic hypergeometric series by using the Cauchy augmentation operator are established. In the present paper, we shall deal with parameter augmentation by using Cauchy augmentation operator in some more known identities and establish some new results.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115672861","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 : 2017-12-30DOI: 10.29218/SRMSJOMS.V3I01.11775
S. Saxena
In this paper we prove the existence and uniqueness of a strong solution of nonlinear retarded differential equation with a nonlocal history condition using the method of semidiscretization in time. Some applications of the abstract results is given in last section.
{"title":"Nonlinear Retarded differential Equations with Nonlocal History Conditions","authors":"S. Saxena","doi":"10.29218/SRMSJOMS.V3I01.11775","DOIUrl":"https://doi.org/10.29218/SRMSJOMS.V3I01.11775","url":null,"abstract":"In this paper we prove the existence and uniqueness of a strong solution of nonlinear\u0000retarded differential equation with a nonlocal history condition using the method of\u0000semidiscretization in time. Some applications of the abstract results is given in last\u0000section.","PeriodicalId":340579,"journal":{"name":"SRMS Journal of Mathmetical Science","volume":"216 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114304953","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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