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Annals of Mathematics and Physics Submit Manuscript
ISSN: 2689-7636

Annals of Mathematics and Physics

    Volume - 6 (35)
    mendeley

    Coincidence and common fixed points for F-Contractive mappings

    DOI Logo 10.17352/amp.000102

    Published On: December 28, 2023 | Pages: 196 - 212

    Author(s): Muhammed Raji* and Musa Adeku Ibrahim

    ORCID Logo  0000-0002-4354-2323

    The purpose of this article is to establish the existence and uniqueness of coincidence and common fixed point of discontinuous non-compatible faintly compatible pair of self maps in non-complete metric space without using containment requirement of range space of involved maps satisfying Ciric type F-contraction and Hardy-Roger type F-contraction. Some illustrative e ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Numerical simulations in a generalized Liénard's type system

    DOI Logo 10.17352/amp.000101

    Published On: December 26, 2023 | Pages: 187 - 195

    Author(s): Juan E Nápoles Valdés* and Paula Macarena Roa*

    ORCID Logo  0000-0003-2470-1090

    In this note we present some numerical simulations of the asymptotic behavior of a Generalized Liénard Equation, taking into account a recently defined differential operator. We must point out that these numerical variations have not been obtained as usual: by varying the functions of the right member of the system considered, but, on the contrary, by varying the kern ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Successive differentiation of some mathematical functions using hypergeometric mechanism

    DOI Logo 10.17352/amp.000100

    Published On: December 08, 2023 | Pages: 182 - 186

    Author(s): MI Qureshi, Tafaz ul Rahman Shah* and Shakir Hussain Malik

    ORCID Logo  0000-0001-8196-9806

    In this article, we obtain successive differentiation of some composite mathematical functions: ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Calculation of the influence of the entropy of stars on the Earth's exosphere and the theory of entropic gravity

    DOI Logo 10.17352/amp.000099

    Published On: December 05, 2023 | Pages: 178 - 181

    Author(s): Violeta N Nikolić*

    ORCID Logo  0000-0002-5685-3219

    In the first part of this study, the entropic contribution of star objects, observable during the night between November 13 and 14, 2021, in the sky above Belgrade (Lat. 44o 49' 04'' N, Long. 20o 27' 25'' E, mean Elev. 117 m), Serbia, to the thermodynamic equilibrium of the Earth's exosphere, was determined. In the second part of the study, the force of gravitational ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Study of the effect of multiple phase transformations and relaxation annealing on the microstructure of a martensitic TiNi alloy in different structural states

    DOI Logo 10.17352/amp.000098

    Published On: November 09, 2023 | Pages: 173 - 179

    Author(s): Anna Churakova* and Elmira Iskhakova

    ORCID Logo  0000-0001-9867-6997

    The work was devoted to studying the effect of multiple phase transformations in the temperature range of phase transformations of a TiNi alloy with a martensitic structure in various initial states - coarse-grained, ultrafine-grained, nanostructured. The conducted studies have shown that in the process of thermal cycling, the accumulation of defects in the crystallin ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    All physical information is discretely connected from the beginning and all geometrical appearance is a delayed statistical consequence

    DOI Logo 10.17352/amp.000097

    Published On: November 09, 2023 | Pages: 159 - 172

    Author(s): Wolfgang Orthuber *

    ORCID Logo  0000-0002-6759-9834

    Information is physically measurable as a selection from a set of possibilities, the domain of information. This defines the term "information". The domain of the information must be known together reproducibly beforehand. As a practical consequence, digital information exchange can be made globally efficient, interoperable, and searchable to a large extent by online ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Revisiting the holstein-primakov transformations

    DOI Logo 10.17352/amp.000096

    Published On: October 31, 2023 | Pages: 156 - 159

    Author(s): SO Gladkov*
    It is shown that in addition to the Holstein-Primakov transformations in the theory of magnetism, a number of other transformations can be proposed which also lead to very interesting and consistent results. In particular, with the help of the transformation proposed in the paper for spin operators, it turns out to be possible to strictly analytically calculate the te ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Sequential method conformal mappings

    DOI Logo 10.17352/amp.000095

    Published On: October 04, 2023 | Pages: 154 - 155

    Author(s): Soninbayar Jambaa*
    The well-known, very important Schwarz–Christoffel integral does not yet completely solve the problem of mapping a half-plane onto a predetermined polygon. This integral includes parameters (inverse images of the polygon), the relationship of which with the lengths of the edges of the polygon is not known in advance. The main difficulty in using the Schwarz–Christoffe ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Unique factorization theorem for pure quantum states

    DOI Logo 10.17352/amp.000094

    Published On: September 15, 2023 | Pages: 149 - 153

    Author(s): Dhananjay P Mehendale*

    ORCID Logo  0000-0003-4524-444X

    In this paper we establish a unique factorization theorem for pure quantum states expressed in computational basis. We show that there always exists unique factorization for any given N-qubit pure quantum state in terms of the tensor product of non-factorable or ``prime'' pure quantum states. This result is based on a simple criterion: Given N-qubit pure quantum state ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Open path theory: Pattern and structure in prime numbers

    DOI Logo 10.17352/amp.000093

    Published On: August 25, 2023 | Pages: 141 - 148

    Author(s): Diego Real*

    ORCID Logo  0000-0002-1038-7021

    The Open Path theory, supported by experimental data, is presented. The main hypothesis proposes that Prime Numbers's positions are determined by previous Prime Numbers as well as their spacing, in a complex, but deterministic way. The concepts of Open Path, Perfect Space, and Primorial Perfect Space are introduced. The Open Path theory can predict prime gaps of any m ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    The behavior of population dispersion employing various numerical techniques

    DOI Logo 10.17352/amp.000092

    Published On: August 18, 2023 | Pages: 126 - 140

    Author(s): Imran Abbas* and Asad Ejaz
    The exploration of population diversity motivated us to present this paper. A mathematical model for the ecological process of population dispersion is finally considered by us to figure out the dispersion of population along the area. The dispersal from one's home site to the next is considered the most important phenomenon in the demographic and evolutionary dynamic ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    A substance with negative mass

    DOI Logo 10.17352/amp.000091

    Published On: August 16, 2023 | Pages: 119 - 125

    Author(s): BG Golovkin*

    ORCID Logo  0000-0003-3330-5989

    The conditions for the formation of a substance with a negative mass are investigated. The critical velocity of a body ω = 235696.8871 km/s, necessary for its transition to a massless state, was determined by two independent methods. Zeroing of the mass of matter also occurs at a temperature T =2.17 . 1036 mo (mo is the rest mass of the particle in grams). At higher ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    The speed of the body at the moment of transition to a massless state is a new world constant

    DOI Logo 10.17352/amp.000090

    Published On: August 04, 2023 | Pages: 114 - 118

    Author(s): BG Golovkin*

    ORCID Logo  0000-0003-3330-5989

    Based on the kinetic theory of gases, the minimum temperature and critical velocity of a body necessary for its transition to a massless state are estimated. The value of this speed ω = 235696.8871 km⁄s is a new world constant, since it is the same for a body, regardless of its size, mass, density, and chemical composition. For the first time, the masses of X, and Y - ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Some fixed point results in rectangular metric spaces

    DOI Logo 10.17352/amp.000089

    Published On: July 19, 2023 | Pages: 108 - 113

    Author(s): Sarita Devi and Pankaj*
    After motivation from Geraghty-type contractions and of Farhan, et al. we define α-admissible mappings and demonstrate the fixed point theorems for the above-mentioned contractions in rectangular metric space in this study. In the end, we discuss some consequences of our results as corollaries. 2010 MSC: 47H10, 54H25. ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Covariance edges matrix of geometric elements

    DOI Logo 10.17352/amp.000088

    Published On: July 01, 2023 | Pages: 100 - 107

    Author(s): Florian Blachere and Houman Borouchaki*

    ORCID Logo  0000-0001-8912-3776

    In this paper, we introduce a new matrix associated with polygons and polyhedrons, namely the covariance edges matrix. We show that, for a regular polygon or polyhedron the corresponding matrix is proportional to the identity of size two or three. Based on this fact, we propose, as an application, several algebraic shape quality measures for convex polygons or polyhed ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    The conclusion of the limitless hotel problem

    DOI Logo 10.17352/amp.000086

    Published On: June 19, 2023 | Pages: 093 - 096

    Author(s): Ling Xie*
    Mathematician Cantor's Set theory appeared paradox and mathematical theory crisis. The famous German mathematician Hilbert used "Hilbert Hotel" to describe Cantor's Set theory paradox. At that time, people could not find a strict mathematical theory to refute Cantor's Set theory, but let everyone get used to and accept Cantor's Set theory, and thought that it was not ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Comparison of the performances between the gray and non-gray media approaches of thermal transport in silicon-tin

    DOI Logo 10.17352/amp.000085

    Published On: June 17, 2023 | Pages: 089 - 092

    Author(s): C Iheduru*, MA Eleruja, B Olofinjana, OE Awe and ADA Buba
    We have compared the performances of the gray and non–gray media approaches of thermal transport in Silicon – Tin using Monte Carlo Simulation. The Boltzmann Transport Equation (BTE) for phonons was used to describe the heat flow and ballistic conduction in semiconducting alloy systems. In this work, we have attempted solving the BTE using Monte Carlo (MC) simulation ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    An innovative method and a medical screening device for cancer detection in real-time

    DOI Logo 10.17352/amp.000084

    Published On: June 17, 2023 | Pages: 083 - 088

    Author(s): K Papageorgiou* and G Papageorgiou
    Histopathology is the main technique to assess the presence of cancer cells in biopsy material and for the evaluation of positive resection margins, but it is not real-time. Older methods to assess resection margin intraoperatively are either time-consuming or exhibit a low accuracy. More recent imaging techniques have various drawbacks, like the need for exogenous co ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Analyzing Riemann's hypothesis

    DOI Logo 10.17352/amp.000083

    Published On: June 16, 2023 | Pages: 075 - 082

    Author(s): Mercedes Orús–Lacort, Román Orús and Christophe Jouis*
    In this paper we perform a detailed analysis of Riemann's hypothesis, dealing with the zeros of the analytically-extended zeta function. We use the functional equation for complex numbers s such that 0<Re(s)<1, and the reduction to the absurd method, where we use an analytical study based on a complex function and its modulus as a real function of two real vari ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Confirm that the imaginary number i is a closed field

    DOI Logo 10.17352/amp.000082

    Published On: June 13, 2023 | Pages: 071 - 074

    Author(s): Ling Xie*

    ORCID Logo  0000-0002-1957-603X

    In the History of mathematics of mankind, some strange symbols appeared when dealing with some mathematical problems, which were defined as imaginary numbers by mankind. The imaginary number has been idle for a long time since it was discovered. Later, mathematicians such as Gauss moved the imaginary number to the mathematical plane (Complex plane). Humans have also ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Quō Vādis theoretical physics and cosmology? from Newton’s Metaphysics to Einstein’s Theology

    DOI Logo 10.17352/amp.000081

    Published On: June 02, 2023 | Pages: 065 - 070

    Author(s): Abdul Malek*
    The crisis in modern theoretical physics and cosmology has its root in its use, along with theology as a ruling-class tool, since medieval Europe. The Copernican revolution overthrowing the geocentric cosmology of theology led to unprecedented social and scientific developments in history. But Isaac Newton’s mathematical idealism-based and on-sided theory of universal ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    J/Ψ (1S) and Ψ (2S) Production in p-p Collisions at E=5.44 TeV

    DOI Logo 10.17352/amp.000080

    Published On: May 20, 2023 | Pages: 063 - 064

    Author(s): Leonard S Kisslinger*
    I estimate the differential rapidity cross sections for J/Ψ and Ψ (2S) via pp (proton-proton) collisions at E=510 GeV. The J/Ψ is a standard charm quark and anti-charm quark, c and while Ψ (2S) is a mixed hybrid c meson. For the Ψ (2S) I use the mixed heavy quark hybrid theory, with states approximately 50% standard and 50% hybrid charmonium. ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    The fractal analysis - Powerful tool for geodynamic investigations

    DOI Logo 10.17352/amp.000079

    Published On: May 12, 2023 | Pages: 058 - 062

    Author(s): Boyko Ranguelov*
    This is a short review of fractal analysis applications in Bulgaria to investigate the geodynamics at the local, regional, and global levels. ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Certain results of Aleph-Function based on natural transform of fractional order

    DOI Logo 10.17352/amp.000078

    Published On: April 25, 2023 | Pages: 052 - 057

    Author(s): Aarti Pathak, Rajshree Mishra, DK Jain, Farooq Ahmad and Altaf Ahmad Bhat*
    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 so ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    The link between s and d components of electron boson coupling constants in one band d wave Eliashberg theory for high Tc superconductors

    DOI Logo 10.17352/amp.000077

    Published On: April 07, 2023 | Pages: 048 - 051

    Author(s): GA Ummarino*
    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 independen ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Fractal space-time and variations of the hubble constant

    DOI Logo 10.17352/amp.000076

    Published On: March 30, 2023 | Pages: 044 - 047

    Author(s): Irina Rozgacheva*

    ORCID Logo  0000-0001-7762-4813

    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 measurem ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Determinism and chaos – a story about Big Bang, singularity and the future of mankind

    DOI Logo 10.17352/amp.000075

    Published On: March 17, 2023 | Pages: 041 - 043

    Author(s): Alexandru Dinu* and Madalin Frunzete
    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 th ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    On Λ-fractional variational calculus

    DOI Logo 10.17352/amp.000074

    Published On: March 01, 2023 | Pages: 036 - 040

    Author(s): KA Lazopoulos and AK Lazopoulos*
    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 ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Experimental and theoretical studies of the influence of the bench elements on the transient operation of the turbine

    DOI Logo 10.17352/amp.000073

    Published On: February 22, 2023 | Pages: 029 - 035

    Author(s): AF Salnikov, SV Bochkarev and IA Zubko*
    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 ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Calculation of the magnetic field of the asteroid 4 Vesta parent body (Application of SK theory)

    DOI Logo 10.17352/amp.000072

    Published On: February 18, 2023 | Pages: 026 - 028

    Author(s): Violeta N Nikolić*

    ORCID Logo  0000-0002-5685-3219

    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. ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    A remark on a perturbed Benjamin-Bona-Mahony type equation and its complete integrability

    DOI Logo 10.17352/amp.000071

    Published On: February 14, 2023 | Pages: 021 - 025

    Author(s): Myroslava I Vovk, Petro Ya Pukach and Anatolij K Prykarpatski*

    ORCID Logo  0000-0001-5124-5890

    In the Letter, we study a perturbed Benjamin-Bona-Mahony nonlinear equation, which was derived for describing shallow water waves and possessing a rich Lie symmetry structure. Based on the gradient-holonomic integrability checking scheme applied to this equation, we have analytically constructed its infinite hierarchy of conservation laws, derived two compatible Poiss ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Spectral analysis of the Sturm-Liouville operator given on a system of segments

    DOI Logo 10.17352/amp.000070

    Published On: February 07, 2023 | Pages: 012 - 020

    Author(s): Snizhana Vovchuk*

    ORCID Logo  0000-0001-6187-0059

    The spectral analysis of the Sturm-Liouville operator defined on a finite segment is the subject of an extensive literature [1,2]. Sturm-Liouville operators on a finite segment are well studied and have numerous applications [1-6]. The study of such operators already given on the system segments (graphs) was received in the works [7,8]. This work is devoted to the stu ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Two methods for determining combinatorial identities

    DOI Logo 10.17352/amp.000069

    Published On: January 10, 2023 | Pages: 007 - 011

    Author(s): Victor Kowalenko*
    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-Zeilber ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    About the connection of the electron binding energy of a single carbon anion with binding energies of an electron attached to carbon molecules

    DOI Logo 10.17352/amp.000068

    Published On: January 09, 2023 | Pages: 004 - 006

    Author(s): AS Baltenkov and I Woiciechowski*
    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- (eq ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
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    mendeley

    Boundary value problem for the third-order equation with multiple characteristics

    DOI Logo 10.17352/amp.000067

    Published On: January 06, 2023 | Pages: 001 - 003

    Author(s): Djumaniyazova Khilola Atamuratovna and Khashimov Abdukomil Risbekovich*

    ORCID Logo  0000-0003-0538-0041

    The article constructs a unique solution to a tertiary-order equation with multiple characteristics with boundary conditions that include all possible local boundary conditions. The uniqueness of the solution of boundary value problems is proved by the method of integral equations using the sign-definiteness of quadratic forms. When proving the existence of a solution ... CrossMark Publons Harvard Library HOLLIS Search IT Semantic Scholar Get Citation Base Search Scilit OAI-PMH ResearchGate Academic Microsoft GrowKudos Universite de Paris UW Libraries SJSU King Library SJSU King Library NUS Library McGill DET KGL BIBLiOTEK JCU Discovery Universidad De Lima WorldCat VU on WorldCat
    Abstract View Full Article View

     

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