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Relevant bibliographies by topics / Beal Conjecture

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Academic literature on the topic 'Beal Conjecture'

Author: Grafiati

Published: 5 June 2025

Last updated: 1 August 2025

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Journal articles on the topic "Beal Conjecture"

1

Stanojevic, Slobodan. "Beal Conjecture." Bulletin of Society for Mathematical Services and Standards 14 (June 2015): 7–27. http://dx.doi.org/10.18052/www.scipress.com/bsmass.14.7.

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Nishad, T. M., and Mohamed M. Azzedine Dr. "Proofs of Beal's Conjecture, Fermat's Conjecture, Collatz Conjecture and Goldbach Conjecture." Indian Journal of Advanced Mathematics (IJAM) 3, no. 1 (2023): 1–7. https://doi.org/10.54105/ijam.A1137.043123.

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Marshall, Stephen M. "An All-Inclusive Proof of Beal’s Conjecture." Bulletin of Society for Mathematical Services and Standards 7 (September 2013): 17–22. http://dx.doi.org/10.18052/www.scipress.com/bsmass.7.17.

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This paper presents a complete and exhaustive proof of the Beal Conjecture. The approach to this proof uses the Fundamental Theorem of Arithmetic as the basis for the proof of the Beal Conjecture. The Fundamental Theorem of Arithmetic states that every number greater than 1 is either prime itself or is unique product of prime numbers. The prime factorization of every number greater than 1 is used throughout every section of the proof of the Beal Conjecture. Without the Fundamental Theorem of Arithmetic, this approach to proving the Beal Conjecture would not be possible.

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James, Joseph. "A Proof of Beal's conjecture." Journal of Progressive Research in Mathematics 9, no. 3 (2016): 1411–12. https://doi.org/10.5281/zenodo.3976690.

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It is proved in this paper t that the equation $z^\xi=x^\mu+y^\nu$ has no solution in relatively prime positive integers $x, y, z,$ with $\xi, \mu, \nu$ odd primes at least $3.$  This is equivalent to Fermat\rq{}s Last Theorem which is stated as follows: If $x.y, z$ are  positive integers, and $\pi$ is an odd prime satisfying $z^\pi=x^\pi+y^\pi,$ then  $x, y, z$ are not relatively prime.

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Liang, Zengyong. "Proof of Beal Conjecture." Advances in Pure Mathematics 09, no. 05 (2019): 429–33. http://dx.doi.org/10.4236/apm.2019.95021.

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T. Mage, David. "Proving the Beal Conjecture." International Journal of Mathematical Trends and Technology 13, no. 2 (2014): 96. http://dx.doi.org/10.14445/22315373/ijmtt-v13p513.

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dos Santos Godoi, Valdir Monteiro. "Disproof the Four Counterexamples for Beal's Conjecture." Bulletin of Mathematical Sciences and Applications 13 (October 2015): 13. http://dx.doi.org/10.18052/www.scipress.com/bmsa.13.13.

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In journal, probably by mistake, was published a paper which intended give some counterexamples of the Beal’s conjecture. Unfortunately these counterexamples are wrong, and the Beal ́s conjecture hold true.

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Watson, Eric S. "Proof of the Beal Conjecture through the Fundamental Theorem of Arithmetic." Bulletin of Mathematical Sciences and Applications 12 (May 2015): 35. http://dx.doi.org/10.18052/www.scipress.com/bmsa.12.35.

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Guła, Leszek W. "The Proof of the Fermat-Beal Theorem." Bulletin of Mathematical Sciences and Applications 11 (February 2015): 4–5. http://dx.doi.org/10.18052/www.scipress.com/bmsa.11.4.

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Olanrewaju, Oluwatobiloba, and Kehinde Kanmodi. "The Mathematical Proof for the Beal Conjecture." British Journal of Mathematics & Computer Science 20, no. 5 (2017): 1–6. http://dx.doi.org/10.9734/bjmcs/2017/29996.

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Dissertations / Theses on the topic "Beal Conjecture"

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Jayaweera, Nicholas Benjamin. "Coherency strain and a new yield criterion. : 'the Frogley conjecture'." Thesis, Queen Mary, University of London, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341949.

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Books on the topic "Beal Conjecture"

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Reales, Romeo. Proof of Beal Conjecture. Independent Publisher, 2015.

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Beauchamp, Julian. $1 Million Dollar Problem: The Beal Conjecture Explored. Independently Published, 2020.

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Schroeder, Mark. Reasons First. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198868224.001.0001.

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The last fifty years or more of ethical theory have been preoccupied by a turn to reasons. The vocabulary of reasons has become a common currency not only in ethics, but in epistemology, action theory, and many related areas. It is now common, for example, to see central theses such as evidentialism in epistemology and egalitarianism in political philosophy formulated in terms of reasons. And some have even claimed that the vocabulary of reasons is so useful precisely because reasons have analytical and explanatory priority over other normative concepts—that reasons in that sense come first. R

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Book chapters on the topic "Beal Conjecture"

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Amdeberhan, Tewodros, Valerio De Angelis, and Victor H. Moll. "Complementary Bell Numbers: Arithmetical Properties and Wilf’s Conjecture." In Advances in Combinatorics. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-30979-3_2.

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Amui, Sandoval. "Two famous conjectures (Pierre de Fermat and Andrew Beal)." In O ensino de matemática na atualidade: percepções, contextos e desafios 5. AYA Editora, 2022. http://dx.doi.org/10.47573/aya.5379.2.142.9.

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Loeb, Abraham, and Steven R. Furlanetto. "Physics of Galaxy Evolution." In The First Galaxies in the Universe. Princeton University Press, 2013. http://dx.doi.org/10.23943/princeton/9780691144917.003.0008.

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This chapter examines galaxies in some detail from a largely theoretical perspective. Along the way, one must bear in mind that, although the described progression of events in this chapter is plausible, at this time it is only a conjecture in the minds of theorists that has not yet been confirmed by observational data. This chapter therefore focuses only on the physics that drive these interstellar objects, showing how the earliest dwarf galaxies eventually merged and made bigger galaxies. A present-day galaxy like our own Milky Way was constructed over cosmic history by the assembly of a mil

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Hassan Waël and Logrippo Luigi. "Interactions among secrecy models." In Feature Interactions in Software and Communication Systems X. IOS Press, 2009. https://doi.org/10.3233/978-1-60750-014-8-160.

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Interactions may arise as a result of deploying multiple secrecy (or security) models in a system, i.e. they can arise in hybrid secrecy or security models. To detect and report these issues we propose the use of logic analyzers to determine if the involved secrecy models are mutually coherent and hence they can coexist, as well as the conditions under which they can coexist. We present our preliminary results with respect to secrecy models such as Chinese Wall, Bell-LaPadula, and Delegation of Authority. Our method is based on representing models and policies using the formal technique Alloy,

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Coles, Robert. "The Tradition." In Doing Documentary Work. Oxford University PressNew York, NY, 1997. http://dx.doi.org/10.1093/oso/9780195116298.003.0004.

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Abstract The heart of the matter for someone doing documentary work is the pursuit of what James Agee called “human actuality”—rendering and representing for others what has been witnessed, heard, overheard, or sensed. Fact is “the quality of being actual,” hence Agee’s concern with actuality. All documentation, however, is put together by a particular mind whose capacities, interests, values, conjectures, suppositions and presuppositions, whose memories, and, not least, whose talents will come to bear directly or indirectly on what is, finally a presented to the world in the form of words, pi

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Louth, Andrew. "The Views of St Maximos the Confessor on the Institutional Church." In Selected Essays, Volume I. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780192882813.003.0024.

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Abstract St Maximos’ understanding of the institutional Church can only be gleaned indirectly. His vision of the Church as set out in the Mystagogia (and discussed in Essay I. 22) doubtless lies behind his attitude to the Church of his day, but actual links can only be conjectured. His clash over the emperor’s Christological nostrums expressed in the Ekthesis and Typos led to his involving the bishop of Rome in resistance to the emperor, and eventually to condemnation by the Byzantine patriarch. Two issues emerge: (1) Roman ‘primacy’; (2) Maximos’ eventual confrontation with the (apparent) uni

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Heringman, Noah. "Primitive Rocks and Primitive Customs." In Deep Time. Princeton University Press, 2023. http://dx.doi.org/10.23943/princeton/9780691235790.003.0002.

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This chapter introduces an environmental history of the human species that is recast by Comte de Buffon, by Johann Gottfried Herder and William Blake, and by Charles Darwin and John Lubbock without departing wholly from the model established in the Forsters' voyage narratives. The Forsters, Johann (John) Reinhold Forster and his son Georg (George), first began to place their conjectural histories of Pacific peoples in the context of the emerging geological time scale. Taking note of the many volcanoes in the South Pacific, the Forsters brought the question of how the Pacific islands formed to

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Conference papers on the topic "Beal Conjecture"

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Todd, Michael, Stephen Trickey, Mark Seaver, Jonathan Nichols, and Lawrence Virgin. "Structural Damage Assessment Using Chaotic Dynamic Interrogation." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32026.

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This work considers a new technique for damage detection in vibration-based structural health monitoring. The technique involves exciting a structure with a low-dimensional chaotic input, reconstructing the attractor, and analyzing certain properties of the attractor for the subtle changes which may occur due to damage. Recourse is made to the Kaplan-Yorke conjecture for motivating the technique. The technique is then demonstrated in the laboratory on a beam subject to boundary clamp damage controlled by means of a special elastic clamp. The measurements are made with a special fiber optic str

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Goyder, H. G. D. "General Models for Linear Damping." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30358.

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The standard model for damping is the linear viscous dashpot which produces a force proportional to velocity. Although other sources of linear damping are known to exist, such as that due to viscoelasticity, it is not clear what range of mathematical forms damping models can take. Here it is suggested that there are only three types of damping model. These models are deduced by examining three configurations of mechanical components. These configurations include combinations of springs and dashpots and, most significantly, a semi-infinite beam. It is found that these models are best examined i

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Bernardin, J. P., and N. M. Lawandy. "Experiments in kinematic mode locking." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.wu5.

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We report new experimental results on a coupled cavity moving mirror ring dye laser operating with a repetition rate of 250 MHz. Existing published models for the mode-locking mechanism are analyzed in light of the various experiments performed in this study. We find thresholds for the onset and instability of kinematic mode locking (KML) as a function of pump power. The pulse length dependence on mirror velocity and cavity detuning are found as well as mirror velocity asymmetries. We show that the multimode noise manifested in the width of the cavity beat note at 250 MHz appears to be but is,

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Biel, Anders, Tomas Walander, and Ulf Stigh. "Influence of Edge-Boundaries on the Cohesive Behaviour of an Adhesive Layer." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-89534.

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In comparison with other adhesives e.g. epoxies, polyurethane adhesives (PUR) are soft. In automotive applications, the thickness of PUR-adhesive layers is between about 2 to 5 mm. Since these adhesives cure by moisture, the width of the joints is limited. Often, the width is only marginally larger than the thickness of the layer. In numerical FE-simulations it is now common to represent epoxy adhesive layers by cohesive elements. With this model, both stress distribution and fracture can be modelled using mesh sizes that allows for large-scale analyses. Material properties are usually the res

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Jayaprakash, K. R., Alexander F. Vakakis, and Yuli Starosvetsky. "Solitary Waves in 1:N Dimer Chains." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70297.

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In the present work we report the discovery of new families of solitary waves in a 1:N (N>1) granular dimers (a heavy bead followed and preceded by N light beads) wherein the Hertzian interaction law governs the interaction between spherical beads. We consider the dimer chain with zero precompression. The dynamics of such a dimer chain is governed by two system parameters, the stiffness ratio and the mass ratio between the light and the heavy beads. In particular we study in detail the solitary waves in 1:2 dimer chains [11]. The solitary waves in a 1:2 dimer are contrastingly different fro

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