Annals of Mathematics and Physics Submit Manuscript
    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*
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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
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