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Journal articles on the topic 'Beal Conjecture'

Author: Grafiati
Published: 5 June 2025
Last updated: 15 July 2025

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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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

BA BS AA MLIS, James T. Struck. "Beal conjecture disproved as no common prime factors in 3 Counterexample." Global Research Review in Business and Economics 10, no. 4 (2024): 01. http://dx.doi.org/10.56805/grrbe.24.10.4.41.

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12

Ghanouchi, Jamel. "An Elementary Proof of Fermat-Wiles Theorem and Generalization to Beal Conjecture." Bulletin of Society for Mathematical Services and Standards 12 (December 2014): 4–9. http://dx.doi.org/10.18052/www.scipress.com/bsmass.12.4.

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13

Mohammed, Ghanim. "A SHORT ELEMENTARY PROOF OF THE BEAL CONJECTURE WITH DEDUCTION OF THE FERMAT LAST THEOREM." GLOBAL JOURNAL OF ADVANCED ENGINEERING TECHNOLOGIES AND SCIENCES 8, no. 1 (2021): 1–16. https://doi.org/10.5281/zenodo.4568087.

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The present short paper, which is an amelioration of my previous article “confirmation of the Beal-Brun-Tijdeman-Zagier conjecture” published by the GJETS in 20/11/2019 [15], confirms the Beal’s conjecture, remained open since 1914 and saying that:       The proof uses elementary tools of mathematics, such as the L’Hôpital rule, the Bolzano-Weierstrass theorem, the intermediate value theorem and the growth properties of certain elementary functions. The proof uses also the Catalan-Mihailescu theorem [18] [19] and some methods developed in my paper o
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14

Gandhi, K. Raja Rama, Reuven Tint, and Michael Tint. "Alternative Solution of the Beal Conjecture Including another Proof of the Fermat's Last Theorem, without References to the other Works in the Main Part - (Elementary Aspect)." Bulletin of Mathematical Sciences and Applications 7 (February 2014): 18–21. http://dx.doi.org/10.18052/www.scipress.com/bmsa.7.18.

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15

Ghanouchi, Jamel. "A Proof of Beal’s Conjecture." Bulletin of Mathematical Sciences and Applications 5 (August 2013): 30–34. http://dx.doi.org/10.18052/www.scipress.com/bmsa.5.30.

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More than one century after its formulation by the Belgian mathematician Eugene Catalan, Preda Mihailescu has solved the open problem. But, is it all ? Mihailescu's solution utilizes computation on machines, we propose here not really a proof of Catalan theorem as it is entended classically, but a resolution of an equation like the resolution of the polynomial equations of third and fourth degrees. This solution is totally algebraic and does not utilize, of course, computers or any kind of calculation. We generalize our approach to Beal equation and discuss the solutions. (Keywords: Diophantin
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16

James, Joseph. "UNIQUE FACTORIZATION FERMAT'S LAST THEOREM BEAL'S CONJECTURE." Journal of Progressive Research in Mathematics 10, no. 1 (2016): 1434–39. https://doi.org/10.5281/zenodo.3976651.

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In this paper the following statememt of Fermat\rq{}s Last Theorem is proved.  If  $x, y, z$ are positive integers$\pi$ is an odd prime and  $z^\pi=x^\pi+y^\pi, x, y, z$ are all even. Also, in this paper, is proved (Beal\rq{}s conjecture): The equation $z^\xi=x^\mu+y^\nu$ has no solution in relatively prime positive integers $x, y, z, $ with $\xi, \mu, \nu$ primes at least $3.
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17

James, E. Joseph, and M. P. Nayar Bhamini. "EQUIVALENCE OF FERMAT'S LAST THEOREM AND BEAL'S CONJECTURE." Journal of Progressive Research in Mathematics 14, no. 1 (2018): 2289–91. https://doi.org/10.5281/zenodo.3974322.

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It is proved in this paper that (1){ \bf Fermat's Last Theorem:} If $\pi$ is an odd prime, there are no relatively prime solutions $x, y, z$ to the equation $z^\pi=x^\pi+y^\pi,$ and (2) { \bf Beal's Conjecture :} The equation $z^\xi=x^\mu+y^\nu$ has no solution in relatively prime positive integers $x, y, z$ with $\mu, \xi, \nu$ odd primes at least $3$. It is proved that these two statements are equivalent.
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18

JAMES, E. JOSEPH. "Proofs of Fermat's Last Theorem and Beal's Conjecture." Journal of Progressive Research in Mathematics 10, no. 1 (2016): 1446–47. https://doi.org/10.5281/zenodo.3976670.

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If $\pi$ is an odd prime and $x, y, z,$ are relatively prime positive integers, then $z^\pi\not=x^\pi+y^\pi.$ In this note, an elegant simple proof of this theorem is given  that if $\pi$ is an odd prime and $x, y, z$ are positive integers satisfying $z^\pi=x^\pi+y^\pi,$ then  $x, y, z,$ are each divisible by $2:$ (Beal\rq{}s conjecture) The equation $z^\xi=x^\mu+y^\nu$ has no solution in relatively prime positive integers $x, y, z, $ with $\xi, \mu, \nu$ primes at least $3.$ is also proved; that is $x, y, z $ are all even.
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19

Ivliev, Y. "DIAGNOSTICS OF MATHEMATICAL PROOF OF THE BEAL CONJECTURE IN MEDICAL PSYCHOLOGY (REMAKE OF PREVIOUS AUTHOR’S ARTICLES CONCERNING FERMAT’S LAST THEOREM)." East European Scientific Journal 1, no. 5(69) (2021): 28–33. http://dx.doi.org/10.31618/essa.2782-1994.2021.1.69.48.

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In the given work diagnostics of mathematical proof of the Beal Conjecture (Generalized Fermat’s Last Theorem) obtained in the earlier author’s works was conducted and truthfulness of the suggested proof was established. Realizing the process of the Bill Conjecture solution, the mathematical structure defining hypothetical equality of the Fermat theorem was determined. Such a structure turned to be one of Pythagorean theorem with whole numbers. With help of Euclid’s geometrical theorem and Fermat’s method of infinite descent one can manage to set that Pythagorean equation in whole numbers repr
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20

Gregorio, Leandro Torres Di. "Proof for the Beal Conjecture and a New Proof for Fermat's Last Theorem." Pure and Applied Mathematics Journal 2, no. 5 (2013): 149. http://dx.doi.org/10.11648/j.pamj.20130205.11.

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21

Ghanouchi, Jamel. "An Elementary Proof of Fermat-Wiles and Catalan-Mihailescu Theorems and Generalization to Beal Conjecture." Bulletin of Mathematical Sciences and Applications 8 (May 2014): 1–5. http://dx.doi.org/10.18052/www.scipress.com/bmsa.8.1.

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22

Samuel, Bonaya Buya. "Proof of Beals conjecture." African Journal of Mathematics and Computer Science Research 11, no. 8 (2018): 109–13. http://dx.doi.org/10.5897/ajmcsr2018.0764.

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23

Gallardo, Luis. "Bell numbers and Kurepa’s conjecture." Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica 76, no. 1 (2022): 17–23. http://dx.doi.org/10.17951/a.2022.76.1.17-23.

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24

Lou, Bendong. "Positive solutions for nonlinear elastic beam models." International Journal of Mathematics and Mathematical Sciences 27, no. 6 (2001): 365–75. http://dx.doi.org/10.1155/s0161171201004203.

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We give a negative answer to a conjecture of Korman on nonlinear elastic beam models. Moreover, by modifying the main conditions in the conjecture (generalizing the original ones at some points), we get positive results, that is, we obtain the existence of positive solutions for the models.
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25

Colomer, Maria Prat, Luke Mortimer, Irénée Frérot, Máté Farkas, and Antonio Acín. "Three numerical approaches to find mutually unbiased bases using Bell inequalities." Quantum 6 (August 17, 2022): 778. http://dx.doi.org/10.22331/q-2022-08-17-778.

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Mutually unbiased bases correspond to highly useful pairs of measurements in quantum information theory. In the smallest composite dimension, six, it is known that between three and seven mutually unbiased bases exist, with a decades-old conjecture, known as Zauner's conjecture, stating that there exist at most three. Here we tackle Zauner's conjecture numerically through the construction of Bell inequalities for every pair of integers n,d≥2 that can be maximally violated in dimension d if and only if n MUBs exist in that dimension. Hence we turn Zauner's conjecture into an optimisa
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26

Debnath, Pradip, and Hari Mohan Srivastava. "Optimal Returns in Indian Stock Market during Global Pandemic: A Comparative Study." Journal of Risk and Financial Management 14, no. 12 (2021): 592. http://dx.doi.org/10.3390/jrfm14120592.

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This research is an extension of our previous work [Debnath and Srivastava (2021)]. In that paper, we designed a portfolio based on data taken from National Stock Exchange (NSE), India, during 1 January 2020 to 31 December 2020 and performance of that portfolio in real-life situation was examined during 1 January 2021 to 21 May 2021 assuming investments were made according to the proposed model. We observed that our proposed portfolio was efficient enough in that period to beat the performance of most of the in-demand mutual funds. It was also conjectured that this portfolio would be sustainab
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27

Sun, Sichun, and Yun-Long Zhang. "Bell Inequality from Holographic Gravity." EPJ Web of Conferences 168 (2018): 07001. http://dx.doi.org/10.1051/epjconf/201816807001.

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We study a holographic model of an EPR pair at the boundary of bulk gravity, and use Bell inequality as a sharp test of entanglement. By revealing how Bell inequality is violated by gravity in the bulk, our study sheds light on the entanglement of the original ER=EPR conjecture.
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28

Earnest, A. G. "Exponents of the class groups of imaginary Abelian number fields." Bulletin of the Australian Mathematical Society 35, no. 2 (1987): 231–46. http://dx.doi.org/10.1017/s0004972700013198.

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It is a classical result, deriving from the Gaussian theory of genera of integral binary quadratic forms, that there exist only finitely many imaginary quadratic fields for which the ideal class group is a group of exponent two. This finiteness has been shown to extend to all those totally imaginary quadratic extensions of any fixed totally real algebraic number field. In this paper we put forward the conjecture that there exist only finitely many imaginary abelian algebraic number fields which have ideal class groups of exponent two, and we examine the extent to which existing methods can be
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29

Joseph, James E. "algebraic proofs of Fermats last theorem and Beals conjecture." JOURNAL OF ADVANCES IN MATHEMATICS 12, no. 9 (2016): 6586–88. http://dx.doi.org/10.24297/jam.v12i9.132.

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In this paper, the following statememt of Fermats Last Theorem is proved. If x, y, z are positive integers is an odd prime and z = x y , x, y, z     are all even. Also, in this paper, is proved (Beals conjecture) The equation   z = x  y has no solution in relatively prime positive integers x, y, z, with  ,, primes at least .
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30

Hellman, Geoffrey. "Bell-type inequalities in the nonideal case: Proof of a conjecture of bell." Foundations of Physics 22, no. 6 (1992): 807–17. http://dx.doi.org/10.1007/bf01883744.

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31

Melo, Severino T., and Marcela I. Merklen. "On a conjectured noncommutative Beals-Cordes-type characterization." Proceedings of the American Mathematical Society 130, no. 7 (2001): 1997–2000. http://dx.doi.org/10.1090/s0002-9939-01-06270-0.

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32

Hürlimann, Werner. "Cooper and Lam's conjecture for generalized Bell ternary quadratic forms." Journal of Number Theory 158 (January 2016): 23–32. http://dx.doi.org/10.1016/j.jnt.2015.06.020.

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33

Salles, A., D. Cavalcanti, A. Acin, D. Perez-Garcia, and M. M. Wolf. "Bell inequalities from multilinear contractions." Quantum Information and Computation 10, no. 7&8 (2010): 703–19. http://dx.doi.org/10.26421/qic10.7-8-9.

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We provide a framework for Bell inequalities which is based on multilinear contractions. The derivation of the inequalities allows for an intuitive geometric depiction and their violation within quantum mechanics can be seen as a direct consequence of non-vanishing commutators. The approach is motivated by generalizing recent work on non-linear inequalities which was based on the moduli of complex numbers, quaternions and octonions. We extend results on Peres' conjecture about the validity of Bell inequalities for quantum states with positive partial transposes. Moreover, we show the possibili
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34

SIMÁNYI, NÁNDOR, and DOMOKOS SZÁSZ. "Non-integrability of cylindric billiards and transitive Lie group actions." Ergodic Theory and Dynamical Systems 20, no. 2 (2000): 593–610. http://dx.doi.org/10.1017/s0143385700000304.

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A conjecture is formulated and discussed which provides a necessary and sufficient condition for the ergodicity of cylindric billiards (this conjecture improves a previous one of the second author). This condition requires that the action of a Lie-subgroup ${\cal G}$ of the orthogonal group $SO(d)$ ($d$ being the dimension of the billiard in question) be transitive on the unit sphere $S^{d-1}$. If $C_1, \dots, C_k$ are the cylindric scatterers of the billiard, then ${\cal G}$ is generated by the embedded Lie subgroups ${\cal G}_i$ of $SO(d)$, where ${\cal G}_i$ consists of all transformations
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35

Fujioka, Jorge, Alfredo Gómez Rodríguez, and Áurea Espinosa Cerón. "EL JUEGO DE LOS ABALORIOS: del Último Teorema de Fermat a los Solitones Ópticos." South Florida Journal of Development 2, no. 5 (2021): 7238–56. http://dx.doi.org/10.46932/sfjdv2n5-066.

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Siguiendo la idea del Juego de los Abalorios (de Hermann Hesse), en este trabajo investigamos qué relación existe entre el último Teorema de Fermat (UTF) y los solitones ópticos. Para encontrar esta relación examinamos los pasos principales que condujeron a la demostración del UTF, empezando por la conjetura de Taniyama-Shimura, y pasando por las contribuciones de Hellegouarch, Frey y Ribet, hasta llegar al trabajo de Wiles. Posteriormente examinamos algunas de las ecuaciones que describen a los solitones ópticos. De este análisis se desprende que las curvas elípticas constituyen el puente que
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36

Fujioka, Jorge, Alfredo Gómez Rodríguez, and Áurea Espinosa Cerón. "El juego de los abalorios: del Último Teorema de Fermat a los Solitones Ópticos." South Florida Journal of Development 2, no. 5 (2021): 6491–510. http://dx.doi.org/10.46932/sfjdv2n5-016.

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Siguiendo la idea del Juego de los Abalorios (de Hermann Hesse), en este trabajo investigamos qué relación existe entre el último Teorema de Fermat (UTF) y los solitones ópticos. Para encontrar esta relación examinamos los pasos principales que condujeron a la demostración del UTF, empezando por la conjetura de Taniyama-Shimura, y pasando por las contribuciones de Hellegouarch, Frey y Ribet, hasta llegar al trabajo de Wiles. Posteriormente examinamos algunas de las ecuaciones que describen a los solitones ópticos. De este análisis se desprende que las curvas elípticas constituyen el puente que
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37

Zloshchastiev, K. G. "Do we need a non-perturbative theory of Bose-Einstein condensation?" Journal of Physics: Conference Series 2103, no. 1 (2021): 012200. http://dx.doi.org/10.1088/1742-6596/2103/1/012200.

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Abstract We recall the experimental data of one-dimensional axial propagation of sound near the center of the Bose-Einstein condensate cloud, which used the optical dipole force method of a focused laser beam and rapid sequencing of nondestructive phase-contrast images. We reanalyze these data within the general quantum fluid framework but without model-specific theoretical assumptions; using the standard best fit techniques. We demonstrate that some of their features cannot be explained by means of the perturbative two-body approximation and Gross-Pitaevskii model, and conjecture possible sol
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38

Heath-Brown, D. R. "Christopher Hooley. 7 August 1928—13 December 2018." Biographical Memoirs of Fellows of the Royal Society 69 (September 9, 2020): 225–46. http://dx.doi.org/10.1098/rsbm.2020.0027.

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Christopher Hooley was one of the leading analytic number theorists of his day, world-wide. His early work on Artin’s conjecture for primitive roots remains the definitive investigation in the area. His greatest contribution, however, was the introduction of exponential sums into every corner of analytic number theory, bringing the power of Deligne’s ‘Riemann hypothesis’ for varieties over finite fields to bear throughout the subject. For many he was a figure who bridged the classical period of Hardy and Littlewood with the modern era. This biographical sketch describes how he succeeded in app
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39

Angelini, Annarita. "Praecisio and Conjecture: Cusanus’ Ball Game and the ‘Learned Ignorance’ of the World." Nuncius 28, no. 1 (2013): 5–18. http://dx.doi.org/10.1163/18253911-02801002.

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Nicholas Cusanus’ De Ludo Globi (1463) is not about tennis, nor does it pave the way for the achievements of the so-called Scientific Revolution. Nevertheless, in a broad sense Cusanus might be viewed as a progenitor of the ‘scientific’ ball player: beyond any impossible, vain, or metaphysical guarantee, scientific knowledge of the finite physical world consists in making conjectures (coniecturas), and making conjectures means literally to throw (conicere). Throwing balls and projectiles toward a target, however, eludes infinity. I will follow in Cusanus’s wake in interpreting ludus not as a p
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40

Shen, Wei Qin, and Norman Jones. "The Pseudo-Shakedown of Beams and Plates When Subjected to Repeated Dynamic Loads." Journal of Applied Mechanics 59, no. 1 (1992): 168–75. http://dx.doi.org/10.1115/1.2899423.

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A conjecture is derived in this paper for the pseudo-shakedown phenomenon of beams and plates which strengthen with finite displacements when subjected to repeated dynamic transverse loads causing material plastic flow and permanent deflections. This behavior is illustrated for a fully clamped, rigid, perfectly plastic beam which is subjected to a repeatedly applied, rectangular-shaped pressure-time history at the midspan. It transpires that a curve divides the dynamic load magnitude-pulse duration time area into two regions where pseudo-shakedown may or may not occur. Another curve in the reg
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41

Macdonald, R. Glen, Kopin Liu Argonne, David M. Sonnenfroh, and Di-Jia Liu. "Crossed-beam studies of radical reaction dynamics:." Canadian Journal of Chemistry 72, no. 3 (1994): 660–72. http://dx.doi.org/10.1139/v94-091.

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The title reaction has been studied in a crossed molecular beam apparatus. Both the product state distributions and the translational energy dependence of the reaction cross sections were measured under single collision conditions. Excellent agreement was found over a wide temperature range (26–3800 K) between rate constants deduced from the translational excitation function and recent thermal kinetic data. The rotational state distribution was found to be very cold compared to the reaction exothermicity, and could be described by a Boltzmann temperature of 110 K for all K-doublet levels. The
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42

Bostan, Alin, Lucia Di Vizio, and Kilian Raschel. "Differential transcendence of Bell numbers and relatives: A Galois theoretic approach." American Journal of Mathematics 146, no. 6 (2024): 1577–615. http://dx.doi.org/10.1353/ajm.2024.a944358.

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abstract: In 2003 Klazar proved that the ordinary generating function of the sequence of Bell numbers is differentially transcendental over the field $\C(\{t\})$ of meromorphic functions at $0$. We show that Klazar's result is an instance of a general phenomenon that can be proven in a compact way using difference Galois theory. We present the main principles of this theory in order to prove a general result about differential transcendence over $\C(\{t\})$, that we apply to many other (infinite classes of) examples of generating functions, including as very special cases the ones considered b
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43

Sanko, Hanna. "Relationship Between World Happiness Index, Hoefstede Cultural Dimensions And Government Education Spending." Business Ethics and Leadership 7, no. 4 (2023): 171–80. http://dx.doi.org/10.61093/bel.7(4).171-180.2023.

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The author analyzes the interplay between the World Happiness Index and a nuanced array of seven variables in this research. Specifically, the focus extends to the Hofstede Cultural Dimensions, encompassing six distinct facets and the financial allocations dedicated to government education spending. The author starts with a literature survey on the profound domains of happiness and wellbeing. Building upon this foundation, the author posits the Hofstede Cultural Dimensions and Government Education Expenditures as prospective variables that may yield a discernible influence on the World Happine
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44

Klinker-De Klerck, Myriam. "Paul. A Biography Tom Wright." European Journal of Theology 30, no. 1 (2021): 201–4. http://dx.doi.org/10.5117/ejt2021.1.014.klin.

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Summary This biography of Paul intertwines narrative elements and up-to-date knowledge of the context in which the apostle lived. Wright develops the story by interweaving details from Acts and Paul’s letters. At the same time, he introduces his readers to the socio-cultural, political and religious reality of Paul’s world. Sometimes the reader gets the impression that everything fits together too neatly. Much of Wright’s reconstruction is based on informed conjecture. Some interpretations that underpin his argument (e.g., the idea of a continuing exile) have been disputed since his earlier wo
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45

Kamyshkov, Yuri, James Ternullo, Louis Varriano, and Zurab Berezhiani. "Neutron-Mirror Neutron Oscillations in Absorbing Matter." Symmetry 14, no. 2 (2022): 230. http://dx.doi.org/10.3390/sym14020230.

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The possibility that a neutron can be transformed to a hidden sector particle remains intriguingly open. Proposed theoretical models conjecture that the hidden sector can be represented by a mirror sector, and the neutron n can oscillate into its sterile mirror twin n′, exactly or nearly degenerate in mass with n. Oscillations n−n′ can take place in vacuum or in an environment containing regular matter and a magnetic field, in which only the neutron will be subject to interactions with the environment. We describe the propagation of the oscillating n−n′ system in a cold neutron beam passing th
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LIU, FU-HU. "UNIFIED DESCRIPTION OF (PSEUDO)RAPIDITY DISTRIBUTIONS OF FINAL-STATE PARTICLES PRODUCED IN COLLISIONS AT RELATIVISTIC ENERGIES." Modern Physics Letters A 23, no. 05 (2008): 337–46. http://dx.doi.org/10.1142/s021773230802389x.

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The paper presents a fit to rapidity distributions of various hadrons measured in heavy-ion experiments at different beam energies. As examples distributions of various identified hadron species measured at GSI SIS and at BNL RHIC are presented and very good agreement between the fit and the data is found. The basis of the fits is a simple Feynman gas model, namely the two-cylinder gas model, for secondary particle production. The model assumption is that there are projectile and target cylinders that are the sources of emitted particles. The conjecture is that at low and intermediate energies
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Yuan, Longfei, Taixin Zhou, Fengmin Jin, et al. "Transmission Electron Microscopy Peeled Surface Defect of Perovskite Quantum Dots to Improve Crystal Structure." Materials 16, no. 17 (2023): 6010. http://dx.doi.org/10.3390/ma16176010.

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Transmission electron microscopy (TEM) is an excellent characterization method to analyze the size, morphology, crystalline state, and microstructure of perovskite quantum dots (PeQDs). Nevertheless, the electron beam of TEM as an illumination source provides high energy, which causes morphological variation (fusion and melting) and recession of the crystalline structure in low radiolysis tolerance specimens. Hence, a novel and facile strategy is proposed: electron beam peel [PbBr6]4− octahedron defects from the surface of QDs to optimize the crystal structure. TEM and high-angle annular dark-
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Naseem, Amir, M. A. Rehman, and Nasr Al Din Ide. "Optimal Algorithms for Nonlinear Equations with Applications and Their Dynamics." Complexity 2022 (September 27, 2022): 1–19. http://dx.doi.org/10.1155/2022/9705690.

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In the present work, we introduce two novel root-finding algorithms for nonlinear scalar equations. Among these algorithms, the second one is optimal according to Kung-Traub’s conjecture. It is established that the newly proposed algorithms bear the fourth- and sixth-order of convergence. To show the effectiveness of the suggested methods, we provide several real-life problems associated with engineering sciences. These problems have been solved through the suggested methods, and their numerical results proved the superiority of these methods over the other ones. Finally, we study the dynamics
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PETERSEN, CARSTEN LUNDE. "No elliptic limits for quadratic maps." Ergodic Theory and Dynamical Systems 19, no. 1 (1999): 127–41. http://dx.doi.org/10.1017/s0143385799120996.

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We establish bounds for the multipliers of those periodic orbits of $R_\mu(z) = z(z+\mu)/(1+\overline\mu z) $, which have a Poincaré rotation number $ p/q $. The bounds are given in terms of $ p/q $ and the (logarithmic) hororadius of $\mu$ to $e^{2\pi ip/q} $. The principal tool is a new construction denoted a ‘star’ of an immediate attracting basin. The bounds are used to prove properties of the space of Möbius conjugacy classes of quadratic rational maps. These properties are related to the mating and non-mating conjecture for quadratic polynomials lsqb;Ta]. Moreover they are also reminisce
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Li, Bing, Shuang Meng, and Wei Hao Wang. "Finite Element Analysis of Recycled Concrete Filled Steel Tube in Bending State." Applied Mechanics and Materials 578-579 (July 2014): 269–73. http://dx.doi.org/10.4028/www.scientific.net/amm.578-579.269.

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The objective of this paper is to provide the references through finite element analysis for steel tube concrete beams bearing capacity settlement. The paper verified the correctness of the constitutive relation of concrete, the correctness and the model through the establishment of the concrete damaged plasticity model with recycled concrete details in the finite element analysis software ABAQUS. Then the stress characteristics of steel pipe concrete beam in bending condition under different substitution rate could be found through model calculation. The result is that the mid span bending -
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