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The fractal analysis - Powerful tool for geodynamic investigations 分形分析-地球动力学调查的强大工具
Annals of Mathematics and Physics Pub Date : 2023-05-12 DOI: 10.17352/amp.000079
Ranguelov Boyko
{"title":"The fractal analysis - Powerful tool for geodynamic investigations","authors":"Ranguelov Boyko","doi":"10.17352/amp.000079","DOIUrl":"https://doi.org/10.17352/amp.000079","url":null,"abstract":"This is a short review of fractal analysis applications in Bulgaria to investigate the geodynamics at the local, regional, and global levels.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125074574","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}
引用次数: 0
Certain results of Aleph-Function based on natural transform of fractional order 基于分数阶自然变换的alpha -函数的若干结果
Annals of Mathematics and Physics Pub Date : 2023-04-25 DOI: 10.17352/amp.000078
Pathak Aarti, Mishra Rajshree, Jain Dk, Ahmad Farooq, Bhat Altaf Ahmad
{"title":"Certain results of Aleph-Function based on natural transform of fractional order","authors":"Pathak Aarti, Mishra Rajshree, Jain Dk, Ahmad Farooq, Bhat Altaf Ahmad","doi":"10.17352/amp.000078","DOIUrl":"https://doi.org/10.17352/amp.000078","url":null,"abstract":"In this research article, a new type of fractional integral transform namely the N-transform of fractional order is proposed, and derived a number of useful results of a more generalized function (Aleph-function) of fractional calculus by making use of the N-transform of fractional order. Further, the relation between it and other fractional transforms is given and some special cases have also been discussed.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125042442","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}
引用次数: 0
The link between s and d components of electron boson coupling constants in one band d wave Eliashberg theory for high Tc superconductors 高Tc超导体单波段d波Eliashberg理论中电子玻色子耦合常数s和d分量的联系
Annals of Mathematics and Physics Pub Date : 2023-04-07 DOI: 10.17352/amp.000077
Ummarino Ga
{"title":"The link between s and d components of electron boson coupling constants in one band d wave Eliashberg theory for high Tc superconductors","authors":"Ummarino Ga","doi":"10.17352/amp.000077","DOIUrl":"https://doi.org/10.17352/amp.000077","url":null,"abstract":"The phenomenology of overdoped high Tc uperconductors can be described by a one band d wave Eliashberg theory where the mechanism of superconducting coupling is mediated by antiferromagnetic spin fluctuations and whose characteristic energy Ω0 scales with Tc according to the empirical law Ω0 = 5.8 kBTc. This model presents universal characteristics that are independent of the critical temperature such as the link between the s and d components of electron boson coupling constants and the invariance of the ratio 2∆/kBTc. This situation arises from the particular structure of Eliashberg's equations which, despite being non-linear equations, present solutions with these simple properties.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114197174","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}
引用次数: 0
Fractal space-time and variations of the hubble constant 分形时空和哈勃常数的变化
Annals of Mathematics and Physics Pub Date : 2023-03-30 DOI: 10.17352/amp.000076
Rozgacheva Irina
{"title":"Fractal space-time and variations of the hubble constant","authors":"Rozgacheva Irina","doi":"10.17352/amp.000076","DOIUrl":"https://doi.org/10.17352/amp.000076","url":null,"abstract":"Spatial variations of the Hubble constant are considered according to Riess, et al. (2018). It is noted that the values of the Hubble constant form an almost fractal manifold. This fact suggests that the variations may be associated with local gravitational perturbations in the neighborhoods of galaxies, in which there are Cepheids and supernovae selected for measurement. The aim and purpose of the study is to show that the spatial variations of the Hubble constant may be due to the fact that the galaxies belong to outskirts of the Local Supercluster.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125247576","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}
引用次数: 0
Determinism and chaos – a story about Big Bang, singularity and the future of mankind 决定论与混沌——一个关于大爆炸、奇点和人类未来的故事
Annals of Mathematics and Physics Pub Date : 2023-03-17 DOI: 10.17352/amp.000075
Dinu Alexandru, Frunzete Madalin
{"title":"Determinism and chaos – a story about Big Bang, singularity and the future of mankind","authors":"Dinu Alexandru, Frunzete Madalin","doi":"10.17352/amp.000075","DOIUrl":"https://doi.org/10.17352/amp.000075","url":null,"abstract":"People have always tried to understand and tame the nature around them. It is a well-known fact that the sanest and safe approach from a psychological point of view is to focus on the present moment, the here and now. Nevertheless, we keep looking and living in the past or daydreaming and making predictions about what the future will bring. This paper is looking at this topic trying to unify several perspectives, stemming from a very diverse set of disciplines: biology, genetics, economics and cryptography, which are apparently working in parallel to solve the same problem. They all aim to find a theory of everything, one that can make sense out of chaos, light out of darkness and that can accurately predict the future based on present and past events. The current paper is supposed to inspire researchers to ask themselves tough questions, sometimes completely outside of their comfort zone, that can lead to discoveries with a huge positive impact on us all.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116888142","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}
引用次数: 0
On Λ-fractional variational calculus 关于Λ-fractional变分微积分
Annals of Mathematics and Physics Pub Date : 2023-03-01 DOI: 10.17352/amp.000074
Lazopoulos Ka, Lazopoulos Ak
{"title":"On Λ-fractional variational calculus","authors":"Lazopoulos Ka, Lazopoulos Ak","doi":"10.17352/amp.000074","DOIUrl":"https://doi.org/10.17352/amp.000074","url":null,"abstract":"Pointing out that Λ-fractional analysis is the unique fractional calculus theory including mathematically acceptable fractional derivatives, variational calculus for Λ-fractional analysis is established. Since Λ-fractional analysis is a non-local procedure, global extremals are only accepted. That means the extremals should satisfy not only the Euler–Lagrange equation but also the additional Weierstrass-Erdmann corner conditions. Hence non-local stability criteria are introduced. The proposed variational procedure is applied to any branch of physics, mechanics, biomechanics, etc. The present analysis is applied to the Λ-fractional refraction of light.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129675509","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}
引用次数: 0
Experimental and theoretical studies of the influence of the bench elements on the transient operation of the turbine 台架元件对水轮机暂态运行影响的实验与理论研究
Annals of Mathematics and Physics Pub Date : 2023-02-22 DOI: 10.17352/amp.000073
Salnikov Af, Bochkarev Sv, Zubko Ia
{"title":"Experimental and theoretical studies of the influence of the bench elements on the transient operation of the turbine","authors":"Salnikov Af, Bochkarev Sv, Zubko Ia","doi":"10.17352/amp.000073","DOIUrl":"https://doi.org/10.17352/amp.000073","url":null,"abstract":"The energy parameters obtained during the tests of turbines of power units on the stand differ from those in the product. The research data, which results are presented in the materials of the paper, are aimed at analyzing the discrepancies between the parametric indicators of power units and bench tests of the turbines. The novelty of the obtained results reveals the direct and inverse relationship of changes in the amplitude-frequency characteristics of the elements of the stand (depending on the realized turbine power) with the obtained results of measuring the turbine power on the stand. We developed and described an algorithm for constructing dynamic analysis during the formation of the wave field of the test bench for turbines both in transient modes and in stationary modes corresponding to a constant number of turbine revolutions. It is shown that, by using the algorithm of modal deduction and conditions of dynamic excitation of vibrations from the tested turbine with elements of studying its power, it is possible to construct transients with certain reliability when the number of revolutions of the turbine changes, i.e. its power. The diagnostic model has a novelty since it allows not only to assess of the influence of the elements of the stand on the nature of the transient process when measuring turbine power in transient modes, taking into account the frequency adjustment when changing the revolutions of the turbine and the elements of the stand but also to form requirements for the frequency tuning of the stand. To clarify the transfer function of the \"stand–turbine\" system, a modal analysis was applied, which made it possible to clarify the structure of the transfer function in the frequency range of the natural (partial) frequencies of the elements of the stand when the restructuring of the wave field during the transient operation of the turbine, but also when the turbine reaches the specified power.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126886517","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}
引用次数: 0
Calculation of the magnetic field of the asteroid 4 Vesta parent body (Application of SK theory) 灶神星小行星4母天体磁场的计算(SK理论的应用)
Annals of Mathematics and Physics Pub Date : 2023-02-18 DOI: 10.17352/amp.000072
Nikolić Violeta N
{"title":"Calculation of the magnetic field of the asteroid 4 Vesta parent body (Application of SK theory)","authors":"Nikolić Violeta N","doi":"10.17352/amp.000072","DOIUrl":"https://doi.org/10.17352/amp.000072","url":null,"abstract":"The SK theory provides a deeper insight into the magnetic properties of celestial bodies. In this study, the magnetic field calculated of the parent body of asteroid 4 Vesta, could facilitate deeper insight into the formation of planets or the Universe.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122265585","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}
引用次数: 0
Two methods for determining combinatorial identities 确定组合恒等式的两种方法
Annals of Mathematics and Physics Pub Date : 2023-01-10 DOI: 10.17352/amp.000069
Kowalenko Victor
{"title":"Two methods for determining combinatorial identities","authors":"Kowalenko Victor","doi":"10.17352/amp.000069","DOIUrl":"https://doi.org/10.17352/amp.000069","url":null,"abstract":"Two methods are presented for determining advanced combinatorial identities. The first is based on extending the original identity so that it can be expressed in terms of hypergeometric functions whereupon tabulated values of the functions can be used to reduce the identity to a simpler form. The second is a computer method based on Koepf's version of the Wilf-Zeilberger approach that has been implemented in a suite of intrinsic routines in Maple. As a consequence, some new identities are presented.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"PP 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126428713","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}
引用次数: 0
About the connection of the electron binding energy of a single carbon anion with binding energies of an electron attached to carbon molecules 关于单个碳阴离子的电子结合能与附着在碳分子上的电子结合能之间的联系
Annals of Mathematics and Physics Pub Date : 2023-01-09 DOI: 10.17352/amp.000068
A. Baltenkov, I. Woiciechowski
{"title":"About the connection of the electron binding energy of a single carbon anion with binding energies of an electron attached to carbon molecules","authors":"A. Baltenkov, I. Woiciechowski","doi":"10.17352/amp.000068","DOIUrl":"https://doi.org/10.17352/amp.000068","url":null,"abstract":"We demonstrate that the model of zero-range potentials can be successfully employed for the description of attached electrons in atomic and molecular anions, for example, negatively charged carbon clusters. To illustrate the capability of the model we calculate the energies of the attached electron for the family of carbon cluster anions consisting of two-, three- (equilateral triangle) and four (tetrahedron) carbon atoms equidistant from each other as well as for a C3 molecule having a chain structure. The considered approach can be easily extended to carbon clusters containing an arbitrary number of atoms arranged in an arbitrary configuration.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129244207","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}
引用次数: 0
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