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    Comment: Paper on the progress of pure mathematics "proof of 3x + 1 conjecture"

    DOI Logo 10.17352/amp.000117

    Published On: May 21, 2024 | Pages: 148 - 149

    Author(s): Ling Xie*
    The unresolved problem in number theory: the 3x+1 problem, deeply loved by math enthusiasts. I saw a paper titled "Proof of 3x+1 Conjecture" in the Journal of Pure Mathematical Progress (ISSN Print: 2160-0368), and its proof was incorrect. ... 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

    Vibration eigenfrequencies of an elastic sphere with large radius

    DOI Logo 10.17352/amp.000116

    Published On: May 07, 2024 | Pages: 138 - 147

    Author(s): Bogdan Felix Apostol*

    ORCID Logo  0000-0002-9990-9390

    An estimation is given for the free vibration eigenfrequencies (normal modes) of a homogeneous solid sphere with a large radius, with application to Earth's free vibrations. The free vibration eigenfrequencies of a fluid sphere are also derived as a particular case. Various corrections arising from static and dynamic gravitation, rotation, and inhomegeneities are esti ... 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

    High temperature negative mass plasma

    DOI Logo 10.17352/amp.000115

    Published On: April 29, 2024 | Pages: 118 - 137

    Author(s): BG Golovkin*
    A review of studies of matter with negative mass - negamatter, consisting of negaparticles - is given. Based on the assumption that Newton's laws are valid for negaparticles, their behavior in relation to other particles is described. It has been discovered that high-temperature plasma is a negasubstance, but only such a plasma whose temperature is above a certain cri ... 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 fluid mechanics

    DOI Logo 10.17352/amp.000114

    Published On: April 26, 2024 | Pages: 107 - 117

    Author(s): Anastasios Lazopoulos* and Kostantinos Lazopoulos

    ORCID Logo  0000-0003-4939-9254

    Λ-fractional analysis has already been presented as the only fractional analysis conforming with the Differential Topology prerequisites. That is, the Leibniz rule and chain rule do not apply to other fractional derivatives; This, according to Differential Topology, makes the definition of a differential impossible for these derivatives. Therefore, this leaves Λ-fract ... 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

    Mathematical modeling of velocity field induced by the vortex

    DOI Logo 10.17352/amp.000113

    Published On: April 16, 2024 | Pages: 096 - 106

    Author(s): H Kalis, I Kangro* and A Aboltins
    In new technological applications, it is important to use vortex distributions in the area for obtaining large velocity fields. This paper, it was calculated the distribution of the velocity field and distribution of stream function for ideal incompressible fluid, induced by a different system of the finite number of vortex threads: 1) circular vortex lines in a finit ... 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

    Coefficient estimates for a subclass of bi-univalent functions associated with the Salagean differential operator

    DOI Logo 10.17352/amp.000112

    Published On: April 05, 2024 | Pages: 091 - 095

    Author(s): Mohammad Mehdi Shabani, Maryam Yazdi and Saeed Hashemi Sababe*

    ORCID Logo  0000-0003-1167-5006

    In this paper, we present and examine a novel subset of the function class ∑, which consists of analytic and bi-univalent functions defined in the open unit disk U and connected to the Salagean differential operator. Additionally, we determine estimates for the Taylor-Maclaurin coefficients |a2| and |a3| functions within this new subclass and enhance some recent findi ... 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

    Abundant dynamical solitary waves solutions of M -fractional Oskolkov model

    DOI Logo 10.17352/amp.000111

    Published On: April 02, 2024 | Pages: 085 - 090

    Author(s): Badamasi Bashir Mikailu, Jafar Anafi and Shaheera Haroon*

    ORCID Logo  0009-0001-9826-0737

    This work uses a truncated M-fractional derivative variant of the Oskolkov model to investigate the dynamic behavior of solitary wavefronts. The methods used in this framework produce a variety of solitary waveforms, such as bright and dark solitons. A suitable choice of the free parameters is used to investigate the geometrical structures for the wave solutions, whic ... 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 twin primes, Goldbach's strong conjecture and Polignac's conjecture

    DOI Logo 10.17352/amp.000110

    Published On: March 21, 2024 | Pages: 076 - 084

    Author(s): Mercedes Orús–Lacort, Román Orús and Christophe Jouis

    ORCID Logo  0000-0002-4496-8115

    Here we analyze three well-known conjectures: (i) the existence of infinitely many twin primes, (ii) Goldbach's strong conjecture, and (iii) Polignac's conjecture. We show that the three conjectures are related to each other. In particular, we see that in analysing the validity of Goldbach's strong conjecture, one must consider also the existence of an infinite number ... 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 vibration shock processes of non-linear mechanical systems with distributed parameters

    DOI Logo 10.17352/amp.000109

    Published On: March 12, 2024 | Pages: 072 - 075

    Author(s): Levan Gavasheli* and Anri Gavasheli

    ORCID Logo  0009-0006-8642-3937

    In practice, under the conditions of perfection and constructive development of modern equipment and machines, nonlinear mechanical systems with distributed parameters are often encountered, which, depending on the principles of operation, are affected by vibration shock. Therefore, the study of vibration shock processes of the mentioned systems has great theoretical ... 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

    Generation of a substance with negative mass

    DOI Logo 10.17352/amp.000108

    Published On: March 12, 2024 | Pages: 067 - 071

    Author(s): BG Golovkin*
    An analysis of known experiments was carried out to determine the dependence of the mass of electrons on their speed. Errors were discovered in determining the sign of the electron mass. It is shown that at electron velocities above the critical ω = 235696.8871 km/s their masses are negative. The results obtained are explained on the basis of the Principle of Nonequiv ... 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 note on Cardano’s formula

    DOI Logo 10.17352/amp.000107

    Published On: February 29, 2024 | Pages: 064 - 066

    Author(s): Dietmar Pfeifer*

    ORCID Logo  0000-0001-8339-0443

    In this paper, we show that Cardano’s formula for the solution of cubic equations can be reduced to expressions involving only square roots of rational numbers if the real root itself is rational. MSC: 01A40 ... 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

    Mathematical analysis of the new α - difference operator with an application to prey-predator model with harvesting. Quadratic invariant

    DOI Logo 10.17352/amp.000106

    Published On: February 20, 2024 | Pages: 054 - 063

    Author(s): HI Abdel-Gawad* and Ahmed H Abdel-Gawad

    ORCID Logo  0000-0003-1986-2324

    In this research paper, we introduce a novel mathematical operator known as the alpha-difference operator (α-DO) and its corresponding integral. We establish the foundational theorems related to this operator and demonstrate its applications in both linear and nonlinear dynamical equations. A key focus of our study is the application of α-DO in the context of the prey ... 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

    Energy metrics and their Ricci flows

    DOI Logo 10.17352/amp.000105

    Published On: February 06, 2024 | Pages: 024 - 053

    Author(s): Sergio Benenti* and Fabio Cardone
    The framework of the Deformed Space-Time theory has been extended in the past from four to five dimensions, where the fifth coordinate is the energy exchanged by the interaction. In this theory, each fundamental interaction is described by an energy-dependent metric. This picture has been exploited in order to take care of the interaction behaviour both when Lorentz ... 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

    Lorentz Transformation and time dilatation

    DOI Logo 10.17352/amp.000104

    Published On: January 10, 2024 | Pages: 016 - 022

    Author(s): Miodrag Mateljević*

    ORCID Logo  0000-0002-9226-0023

    We consider two inertial frames S and and suppose that frame moves, for simplicity, in a single direction: the X -direction of frame S with a constant velocity v as measured in frame S. Using homogeneity of space and time we derive a modified Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we d ... 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 new reduced quantile function for generating families of distributions

    DOI Logo 10.17352/amp.000103

    Published On: January 09, 2024 | Pages: 001 - 015

    Author(s): Prince O Chukwuma, Etaga O Harrison, Precious Ibeakuzie, Ifeanyi C Anabike and Okechukwu J Obulezi*

    ORCID Logo  0000-0002-7753-1868

    In this paper, a variant of the T-X(Y) generator was developed by suppressing the scale parameter of the classical Lomax distribution in the quantile function. Uniquely, the reduction of the number of parameters essentially accounts for the parsimony of the attendant model. The study considered the Exponential distribution as the transformer and consequently obtained ... 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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