Pub Date : 2021-06-01DOI: 10.26577/ijmph.2021.v12.i1.011
A. Kussainov, M. Em, E. T. Myrzabek, E. T. Salavatova, S. T. Zhaldybayev, Y. V. White
This paper presents a modification of the previously developed and maintained computed tomography simulation and reconstruction software for the mammography case. New additional modules are designed to process the mammography data. Mammography provides incomplete information about the subject taken from the limited number points of view but as a result has potentially minimized exposure to radiation for the biological tissue under study. We implement this method by providing new standalone independent mammography modules in our software package. These modules are responsible for creating the projections’ set according to the operator’s input of exposure angles, phantom’s structure, and other multiple recording parameters. These additional modules reconstruct the data from these generated sets of projections or take the real medical data as input. Contrast and features’ recognition are particularly important elements of the study due to the limited number of projections in set. Our software could be used in combination with any real commercial mammography scanner as well as for research purposes to train medical and physics personnel and study for novel methods of contrast and image enhancement.
{"title":"Transition to mammography in the regular computed tomography simulation and reconstruction software","authors":"A. Kussainov, M. Em, E. T. Myrzabek, E. T. Salavatova, S. T. Zhaldybayev, Y. V. White","doi":"10.26577/ijmph.2021.v12.i1.011","DOIUrl":"https://doi.org/10.26577/ijmph.2021.v12.i1.011","url":null,"abstract":"This paper presents a modification of the previously developed and maintained computed tomography simulation and reconstruction software for the mammography case. New additional modules are designed to process the mammography data. Mammography provides incomplete information about the subject taken from the limited number points of view but as a result has potentially minimized exposure to radiation for the biological tissue under study. We implement this method by providing new standalone independent mammography modules in our software package. These modules are responsible for creating the projections’ set according to the operator’s input of exposure angles, phantom’s structure, and other multiple recording parameters. These additional modules reconstruct the data from these generated sets of projections or take the real medical data as input. Contrast and features’ recognition are particularly important elements of the study due to the limited number of projections in set. Our software could be used in combination with any real commercial mammography scanner as well as for research purposes to train medical and physics personnel and study for novel methods of contrast and image enhancement.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46352410","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 : 2021-06-01DOI: 10.26577/ijmph.2021.v12.i1.09
E. Boos, V. Bunichev, G. Nurbakova, N. Habyl, S. Rustembayeva, D. Temirkhanova
{"title":"Top-quark physics in hadronic collisions","authors":"E. Boos, V. Bunichev, G. Nurbakova, N. Habyl, S. Rustembayeva, D. Temirkhanova","doi":"10.26577/ijmph.2021.v12.i1.09","DOIUrl":"https://doi.org/10.26577/ijmph.2021.v12.i1.09","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46587187","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 : 2021-06-01DOI: 10.26577/ijmph.2021.v12.i1.010
Sh.R. Myrzakulov, Y. Myrzakulov, R. Yechshanova, М. Imankul
Viable inflation of modified nonuniform isotropic F(R) gravity with a fermionic field of f-essence is investigated using the quantum approach. The action of which is S=int [], where R is the curvature scalar, and Lm is the matter Lagrangian. In this case, we consider a non-minimally coupled fermionic field f-essence, the Lagrangian of which is denoted by K(Y,u) by a function depending on Y-kinetic and u potential arguments. The equations of motion of this model are obtained for the homogeneous and isotropic Friedman-Robertson-Walker space-time. As F(R) we consider the generalized Horava-Lifshitz quantum gravity function. In 2009, Horava proposed a new approach to studying membranes in the theory of quantum gravity, known as the Horava-Lifshitz gravity.The peculiarity of Horava-Lifshitz gravity is that it is renormalizable. Further, the particular case of K(Y,u)=lnY+u is investigated in detail. The parameters of describing the current accelerated expansion of the Universe are obtained and the explicit form of the connection of matter with space-time h(u) is determined. The inflationary period of the evolution of this model is also investigated. To describe the inflationary period, the form of the Hubble parameter and the slow roll-off parameter, as well as other inflationary parameters, were determined. The presented results are compared with the observation results. The analysis of the results coincides with the observation data at certain values of the integral constants in the solutions.
{"title":"Inflation in modified quantum gravity with a fermion field","authors":"Sh.R. Myrzakulov, Y. Myrzakulov, R. Yechshanova, М. Imankul","doi":"10.26577/ijmph.2021.v12.i1.010","DOIUrl":"https://doi.org/10.26577/ijmph.2021.v12.i1.010","url":null,"abstract":"Viable inflation of modified nonuniform isotropic F(R) gravity with a fermionic field of f-essence is investigated using the quantum approach. The action of which is S=int [], where R is the curvature scalar, and Lm is the matter Lagrangian. In this case, we consider a non-minimally coupled fermionic field f-essence, the Lagrangian of which is denoted by K(Y,u) by a function depending on Y-kinetic and u potential arguments. The equations of motion of this model are obtained for the homogeneous and isotropic Friedman-Robertson-Walker space-time. As F(R) we consider the generalized Horava-Lifshitz quantum gravity function. In 2009, Horava proposed a new approach to studying membranes in the theory of quantum gravity, known as the Horava-Lifshitz gravity.The peculiarity of Horava-Lifshitz gravity is that it is renormalizable. Further, the particular case of K(Y,u)=lnY+u is investigated in detail. The parameters of describing the current accelerated expansion of the Universe are obtained and the explicit form of the connection of matter with space-time h(u) is determined. The inflationary period of the evolution of this model is also investigated. To describe the inflationary period, the form of the Hubble parameter and the slow roll-off parameter, as well as other inflationary parameters, were determined. The presented results are compared with the observation results. The analysis of the results coincides with the observation data at certain values of the integral constants in the solutions.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43973760","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 : 2021-05-31DOI: 10.11648/J.IJTAM.20210703.11
Kedir Aliyi Koroche
In this paper, the Lax-Wend off difference scheme has been presented for solving the one-dimensional wave equation with integral boundary conditions. First, the given solution domain is discretized and the derivative involving the spatial variable is replaced by the central finite difference approximation of functional values at each grid point by using Taylor series expansion. Then, for solving the resulting second-order linear ordinary differential equation, the displacement function is discretized in the direction of a temporal variable by using Taylor series expansion, and the Lax-Wend off difference scheme is developed, then it gives a system of algebraic equations. The derivative of the initial condition is also discretized by using the central finite difference method. Then the obtained system of algebraic equations is solved by the matrix inverse method. The stability and convergent analysis of the scheme are investigated. The established convergence of the scheme is further accelerated by applying the Richardson extrapolation which yields fourth-order convergent in spatial variable and sixth-order convergent in a temporal variable. To validate the applicability of the proposed method, three model examples are considered and solved for different values of the mesh sizes in both directions. Numerical results are presented in tables in terms of maximum absolute error, L2 and L∞ norm. The numerical results presented in tables and graphs confirm that the approximate solution is in good agreement with the exact solution.
{"title":"Lax-Wendroff Difference Scheme with Richardson Extrapolation Method for One Dimensional Wave Equation Subjected To Integral Condition","authors":"Kedir Aliyi Koroche","doi":"10.11648/J.IJTAM.20210703.11","DOIUrl":"https://doi.org/10.11648/J.IJTAM.20210703.11","url":null,"abstract":"In this paper, the Lax-Wend off difference scheme has been presented for solving the one-dimensional wave equation with integral boundary conditions. First, the given solution domain is discretized and the derivative involving the spatial variable is replaced by the central finite difference approximation of functional values at each grid point by using Taylor series expansion. Then, for solving the resulting second-order linear ordinary differential equation, the displacement function is discretized in the direction of a temporal variable by using Taylor series expansion, and the Lax-Wend off difference scheme is developed, then it gives a system of algebraic equations. The derivative of the initial condition is also discretized by using the central finite difference method. Then the obtained system of algebraic equations is solved by the matrix inverse method. The stability and convergent analysis of the scheme are investigated. The established convergence of the scheme is further accelerated by applying the Richardson extrapolation which yields fourth-order convergent in spatial variable and sixth-order convergent in a temporal variable. To validate the applicability of the proposed method, three model examples are considered and solved for different values of the mesh sizes in both directions. Numerical results are presented in tables in terms of maximum absolute error, L2 and L∞ norm. The numerical results presented in tables and graphs confirm that the approximate solution is in good agreement with the exact solution.","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42410659","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 : 2021-01-01DOI: 10.33545/26648636.2021.v3.i2a.35
R. Sivaraman
{"title":"Curious properties of odd and even numbered triangles","authors":"R. Sivaraman","doi":"10.33545/26648636.2021.v3.i2a.35","DOIUrl":"https://doi.org/10.33545/26648636.2021.v3.i2a.35","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85068004","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 : 2021-01-01DOI: 10.33545/26648636.2021.v3.i1a.28
A. A
{"title":"Poisson probability distribution of arrivals and departures in a queuing service system","authors":"A. A","doi":"10.33545/26648636.2021.v3.i1a.28","DOIUrl":"https://doi.org/10.33545/26648636.2021.v3.i1a.28","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85477249","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 : 2021-01-01DOI: 10.33545/26648636.2021.v3.i1a.25
Mohsin Ahmad Dar, Bhawna Agrawal
{"title":"Application of fixed point theory in lt;emgt;Dlt;/emgt;-metric spaces with using banach contraction principal","authors":"Mohsin Ahmad Dar, Bhawna Agrawal","doi":"10.33545/26648636.2021.v3.i1a.25","DOIUrl":"https://doi.org/10.33545/26648636.2021.v3.i1a.25","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79550768","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 : 2021-01-01DOI: 10.33545/26648636.2021.v3.i2a.31
B. M. Roy, A. Qureshi
{"title":"Formulation of solutions of a special standard quadratic congruence modulo an even prime integer raised to the power n","authors":"B. M. Roy, A. Qureshi","doi":"10.33545/26648636.2021.v3.i2a.31","DOIUrl":"https://doi.org/10.33545/26648636.2021.v3.i2a.31","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88107577","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 : 2021-01-01DOI: 10.33545/26648636.2021.v3.i1a.27
Anurag Geete, BD Shrivastava, A. Mishra
{"title":"EXAFS and XANES study of cobalt complexes synthesized with ligands of chloroaniline and fluoroaniline dithiocarbamate","authors":"Anurag Geete, BD Shrivastava, A. Mishra","doi":"10.33545/26648636.2021.v3.i1a.27","DOIUrl":"https://doi.org/10.33545/26648636.2021.v3.i1a.27","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77908906","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 : 2021-01-01DOI: 10.33545/26648636.2021.v3.i2a.33
R. Sivaraman
{"title":"Ramanujan summation for geometric progressions","authors":"R. Sivaraman","doi":"10.33545/26648636.2021.v3.i2a.33","DOIUrl":"https://doi.org/10.33545/26648636.2021.v3.i2a.33","url":null,"abstract":"","PeriodicalId":40756,"journal":{"name":"International Journal of Mathematics and Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86007706","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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