Bibliografías temáticas / Trivial zeros

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Literatura académica sobre el tema "Trivial zeros"

Autor: Grafiati
Publicado: 30 de noviembre de 2024
Última modificación: 31 de julio de 2025

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Artículos de revistas sobre el tema "Trivial zeros"

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Bayer, Pilar. "La hipòtesi de Riemann: El gran repte pendent." Mètode Revista de difusió de la investigació, no. 8 (June 5, 2018): 35. http://dx.doi.org/10.7203/metode.0.8903.

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The Riemann hypothesis is an unproven statement referring to the zeros of the Riemann zeta function. Bernhard Riemann calculated the first six non-trivial zeros of the function and observed that they were all on the same straight line. In a report published in 1859, Riemann stated that this might very well be a general fact. The Riemann hypothesis claims that all non-trivial zeros of the zeta function are on the the line x = 1/2. The more than ten billion zeroes calculated to date, all of them lying on the critical line, coincide with Riemann’s suspicion, but no one has yet been able to prove
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Lam Kai, Shun. "A Verification of Riemann Non-Trivial Zeros by Complex Analysis by Matlab™ Computation." European Journal of Statistics and Probability 11, no. 1 (2023): 69–83. http://dx.doi.org/10.37745/ejsp.2013/vol11n16983.

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With my most recent paper, I tried to prove the Riemann Hypothesis by catching out those contradictory parts of the non-trivial zeros. In the present paper, I will try to verify these known values of Riemann nontrivial zeros by first using U.S.A. Matlab coding with a list of well-organized complex analysis theories. At the same time, as the major core of my verification is just a mono-direction one (i.e. there may be a possibility of the missing non-trivial zeros although the residue value is zero), hence this author try to solve such problem by assuming that there are some other zeros existin
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Pushkarev, Petr. "Constant quality of the Riemann zeta's non-trivial zeros." Global Journal of Pure and Applied Mathematics 13, no. 6 (2017): 1987–92. https://doi.org/10.5281/zenodo.822059.

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In this article we are closely examining Riemann zeta function's non-trivial zeros. Especially, we examine real part of non-trivial zeros. Real part of Riemann zeta function's non-trivial zeros is considered in the light of constant quality of such zeros. We propose and prove a theorem of this quality. We also uncover a definition phenomenons of zeta and Riemann xi functions. In conclusion and as an conclusion we observe Riemann hypothesis in perspective of our researches.
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HASSEN, ABDUL, and HIEU D. NGUYEN. "A ZERO-FREE REGION FOR HYPERGEOMETRIC ZETA FUNCTIONS." International Journal of Number Theory 07, no. 04 (2011): 1033–43. http://dx.doi.org/10.1142/s1793042111004678.

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This paper investigates the location of "trivial" zeros of some hypergeometric zeta functions. Analogous to Riemann's zeta function, we demonstrate that they possess a zero-free region on a left-half complex plane, except for infinitely many zeros regularly spaced on the negative real axis.
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Platt, David J. "Isolating some non-trivial zeros of zeta." Mathematics of Computation 86, no. 307 (2017): 2449–67. http://dx.doi.org/10.1090/mcom/3198.

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Silva, Sergio Da. "The Riemann Hypothesis: A Fresh and Experimental Exploration." Journal of Advances in Mathematics and Computer Science 39, no. 4 (2024): 100–112. http://dx.doi.org/10.9734/jamcs/2024/v39i41885.

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This research proposes a new approach to the Riemann Hypothesis, focusing on the interplay between prime gaps and the non-trivial zeros of the Riemann Zeta function. Utilizing various statistical models and experimental analysis techniques, three important insights are uncovered: 1) Granger causality tests reveal a predictive relationship in which past non-trivial zeros may predict future prime gaps; 2) Complex, nonlinear interactions between prime gaps and non-trivial zeros are identified, challenging simple linear correlations; and 3) Causal network analysis reveals intricate feedback-loop r
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Ghisa, Dorin. "On the Non-Trivial Zeros of Dirichlet Functions." Advances in Pure Mathematics 11, no. 03 (2021): 187–204. http://dx.doi.org/10.4236/apm.2021.113014.

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Suman, Shekhar, and Raman Kumar Das. "A NOTE ON AN EQUIVALENT OF THE RIEMANN HYPOTHESIS." JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES 10, no. 01 (2022): 97–102. http://dx.doi.org/10.56827/jrsmms.2022.1001.8.

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In this manuscript we denote by P ρ a sum over the non trivial zeros of Riemann zeta function (or over the zeros of Riemann’s xi function), where the zeros of multiplicity k are counted k times. We prove a result that the Riemann Hypothesis is true if and only if
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Sekatskii, Sergey. "On the Sums over Inverse Powers of Zeros of the Hurwitz Zeta Function and Some Related Properties of These Zeros." Symmetry 16, no. 3 (2024): 326. http://dx.doi.org/10.3390/sym16030326.

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Recently, we have applied the generalized Littlewood theorem concerning contour integrals of the logarithm of the analytical function to find the sums over inverse powers of zeros for the incomplete gamma and Riemann zeta functions, polygamma functions, and elliptical functions. Here, the same theorem is applied to study such sums for the zeros of the Hurwitz zeta function ζ(s,z), including the sum over the inverse first power of its appropriately defined non-trivial zeros. We also study some related properties of the Hurwitz zeta function zeros. In particular, we show that, for any natural N
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Apostol, Tom M. "Note on the Trivial Zeros of Dirichlet L-Functions." Proceedings of the American Mathematical Society 94, no. 1 (1985): 29. http://dx.doi.org/10.2307/2044944.

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Tesis sobre el tema "Trivial zeros"

1

Francqueville, Martin. "Fonctions L p-adiques de Rankin-Selberg aux points semistables." Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0225.

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A un couple de formes modulaires, on peut associer une fonction L complexe. Pour étudier cette fonction L complexe, on peut construire une fonction L p-adique interpolant les valeurs de la fonction L complexe, à un facteur près. Il peut cependant arriver que ce facteur s’annule. Dans ce cas, la fonction L p-adique s’annule, et on perd l’information sur la valeur de la fonction L complexe : c’est le phénomène des zéros triviaux. Conjecturalement, il devrait être possible de retrouver l’information sur la valeur de la fonction L complexe en considérant la dérivée cyclotomique de la fonction L p-
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2

Alcántara, Bode Julio. "A conjecture about the non-trivial zeroes of the Riemann zeta function." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97185.

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Some heuristic arguments are given in support of the following conjecture: If the Riemann Hypothesis (RH) does not hold then the number of zeroes of the Riemann zeta function with real part σ >  ½ is infinite.
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3

Bernard, Damien. "Statistique des zéros non-triviaux de fonctions L de formes modulaires." Phd thesis, Université Blaise Pascal - Clermont-Ferrand II, 2013. http://tel.archives-ouvertes.fr/tel-00922713.

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Cette thèse se propose d'obtenir des résultats statistiques sur les zéros non-triviaux de fonctions L. Dans le cas des fonctions L de formes modulaires, on prouve qu'une proportion positive explicite de zéros non-triviaux se situe sur la droite critique. Afin d'arriver à ce résultat, il nous faut préalablement étendre un théorème sur les problèmes de convolution avec décalage additif en moyenne de manière à déterminer le comportement asymptotique du second moment intégral ramolli d'une fonction L de forme modulaire au voisinage de la droite critique. Une autre partie de cette thèse, indépendan
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4

Veronese, Daniel Oliveira [UNESP]. "Medidas não triviais no círculo unitário e polinômios para-ortogonais associados." Universidade Estadual Paulista (UNESP), 2016. http://hdl.handle.net/11449/141955.

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Submitted by DANIEL OLIVEIRA VERONESE null (veronese@icte.uftm.edu.br) on 2016-07-27T16:57:24Z No. of bitstreams: 1 Tese_Daniel.pdf: 842310 bytes, checksum: 2518e6833497ee87b3cf404db2fca49a (MD5)<br>Approved for entry into archive by Felipe Augusto Arakaki (arakaki@reitoria.unesp.br) on 2016-07-29T13:17:56Z (GMT) No. of bitstreams: 1 veronese_do_dr_sjrp.pdf: 842310 bytes, checksum: 2518e6833497ee87b3cf404db2fca49a (MD5)<br>Made available in DSpace on 2016-07-29T13:17:56Z (GMT). No. of bitstreams: 1 veronese_do_dr_sjrp.pdf: 842310 bytes, checksum: 2518e6833497ee87b3cf404db2fca49a (MD5) P
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Alvites, José Carlos Valencia. "Hipótese de Riemann e física." Universidade de São Paulo, 2012. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-13042012-084309/.

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Neste trabalho, introduzimos a função zeta de Riemann \'ZETA\'(s), para s \'PERTENCE\' C \\ e apresentamos muito do que é conhecido como justificativa para a hipótese de Riemann. A importância de \'ZETA\' (s) para a teoria analítica dos números é enfatizada e fornecemos uma prova conhecida do Teorema dos Números Primos. No final, discutimos a importância de \'ZETA\'(s) para alguns modelos físicos de interesse e concluimos descrevendo como a hipótese de Riemann pode ser acessada estudando estes sistemas<br>In this work, we introduce the Riemann zeta function \'ZETA\'(s), s \'IT BELONGS\' C \\
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MEDEIROS, Rex Antonio da Costa. "Zero-Error capacity of quantum channels." Universidade Federal de Campina Grande, 2008. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1320.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-01T21:11:37Z No. of bitstreams: 1 REX ANTONIO DA COSTA MEDEIROS - TESE PPGEE 2008..pdf: 1089371 bytes, checksum: ea0c95501b938e0d466779a06faaa4f6 (MD5)<br>Made available in DSpace on 2018-08-01T21:11:37Z (GMT). No. of bitstreams: 1 REX ANTONIO DA COSTA MEDEIROS - TESE PPGEE 2008..pdf: 1089371 bytes, checksum: ea0c95501b938e0d466779a06faaa4f6 (MD5) Previous issue date: 2008-05-09<br>Nesta tese, a capacidade erro-zero de canais discretos sem memória é generalizada para canais quânticos. Uma nova capacidade para a transmiss
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Libros sobre el tema "Trivial zeros"

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Iliopoulos, John. The Origin of Mass. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198805175.001.0001.

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Why do most ’elementary particles’ which form the constituents of all matter have a non-zero mass? Strange question, apparently in contradiction with our physical intuition. In this little book we attempt to explain that the question is far from being trivial and that the answer can be found in the recent discovery of a new particle in the Large Hadron Collider (LHC) at CERN near Geneva. We offer the reader a guided tour, starting from the tiny fractions of a second after the Big Bang, when all particles have been created, to the present experiments we perform in our laboratories. We show that
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2

Whizbooks. Summary of Zero Belly Diet : Lose up to 16 Lbs. in 14 Days!: Trivia/Quiz for Fans. Blurb, 2018.

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Whizbooks. Summary of Zero to One : Notes on Startups, or How to Build the Future: Trivia/Quiz for Fans. Blurb, 2019.

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Capítulos de libros sobre el tema "Trivial zeros"

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Hassani, Mehdi. "Explicit Bounds Concerning Non-trivial Zeros of the Riemann Zeta Function." In Analytic Number Theory, Approximation Theory, and Special Functions. Springer New York, 2014. http://dx.doi.org/10.1007/978-1-4939-0258-3_2.

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Hassani, Mehdi. "On the Means of the Non-trivial Zeros of the Riemann Zeta Function." In Advancements in Complex Analysis. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-40120-7_8.

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Imai, Hideki, Kirill Morozov, and Anderson C. A. Nascimento. "Efficient Oblivious Transfer Protocols Achieving a Non-zero Rate from Any Non-trivial Noisy Correlation." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-10230-1_16.

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Cornelissen, Gunther, and Norbert Peyerimhoff. "Spectra, Group Representations and Twisted Laplacians." In Twisted Isospectrality, Homological Wideness, and Isometry. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-27704-7_3.

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AbstractIn this chapter, we review basic notions about spectra, group representations, and twisted Laplace operators. We first recall how to define the spectrum and the spectral zeta function for a general symmetric second order elliptic differential operator acting on smooth sections of a Hermitian line bundle. We prove that the non-zero spectrum (i.e., the spectral zeta function) determines the entire spectrum on an odd-dimensional manifold, but also give an example showing that this is not always true for even-dimensional manifolds; the example is obstructed by the non-vanishing of some top
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Bennett, Charles H. "Logical Depth and Physical Complexity." In The Universal Turing Machine: A Half-Century Survey. Oxford University PressOxford, 1990. http://dx.doi.org/10.1093/oso/9780198537748.003.0008.

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Abstract Some mathematical and natural objects (a random sequence, a sequence of zeros, a perfect crystal, a gas) are intuitively trivial, while others (e.g., the human body, the digits of 7r) contain internal evidence of a nontrivial causal history. Persons of Turing’s genius do not shy away from asking big questions, and hoping to see, in advance of the eventual slow progress of science, the essential outlines of the answers. “What is intelligence?” is one such question that clearly fascinated Turing. “How do complicated structures arise in nature?” is another. On this latter question, seeds
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Xiaochun, Mei. "A Strict Proof That the Riemann Zeta Function Equation Has No Non-trivial Zeros." In Novel Research Aspects in Mathematical and Computer Science Vol. 2. Book Publisher International (a part of SCIENCEDOMAIN International), 2022. http://dx.doi.org/10.9734/bpi/nramcs/v2/6049f.

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Mostepanenko, V. M., N. N. Trunov, and R. L. Znajek. "Vacuum polarization in topologically non-trivial spaces and cosmology." In The Casimir Effect and its Applications. Oxford University PressOxford, 1997. http://dx.doi.org/10.1093/oso/9780198539988.003.0004.

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Abstract As has been previously noted, when considering a quantized field in a topologically non-trivial space additional conditions are imposed that are similar to conditions at material boundaries. As a result, in comparison with Minkowski space, the zero-point fluctuation spectrum changes, (for example, from being continuous to being discrete), which leads to the appearance of a non-zero vacuum EMT for the quantized field in that space.
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Chandrasekhar, S. "The rectilinear ascent and descent of bodies." In Newton’s Principia for the Common Reader. Oxford University PressOxford, 1995. http://dx.doi.org/10.1093/oso/9780198517443.003.0008.

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Abstract This is an inversion of the common procedure: rectilinear motion in a central field of force is generally (if not always) considered as a special (and a simpler) case that requires a separate treatment since the angular momentum of such motions is zero and there is no constant of areas as a (non-trivial) constraint. Instead, Newton considers rectilinear motion as a limiting case of motion along conic sections and shows how it becomes determinate by an ‘invariant’ form of the law of areas which applies to orbits independently of their eccentricity.
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Gennes, P. G. De, and J. Prost. "Long- And Short-Range Order In Nematics." In The Physics of Liquid Crystals. Oxford University PressOxford, 1993. http://dx.doi.org/10.1093/oso/9780198520245.003.0002.

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Abstract The nematic phase has a lower symmetry than the high-temperature isotropic liquid. We express this qualitatively by saying that the nematic phase is ‘more ordered’. To put this on a quantitative basis, we need to define an order parameter that is non-zero in the nematic phase but that vanishes, for symmetry reasons, in the isotropic phase. In some physical systems an adequate choice of the order parameter is obvious. For instance, in a ferromagnet, the order parameter is the magnetization M; this is a vector with three independent components M,,. In a nematic phase the choice is less
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Li Mei-Hui and Wang Li-Min. "Exploring the Non-Trivial Knowledge Implicit in Test Instance to Fully Represent Unrestricted Bayesian Classifier." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2016. https://doi.org/10.3233/978-1-61499-722-1-248.

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Restricted Bayesian classifiers have demonstrated remarkable classification performance for data mining. However, the restricted network structure makes it impossible to represent the Markov blanket of class variable, which corresponds to the optimal classifier. And the test instances are not fully utilized, the final decision thus may be biased. In this paper, a novel unrestricted k-dependence classifier is proposed based on identifying the Markov blanket of the class variable. Furthermore, the algorithm also adopts local learning to build local structure, which can represent the evidence int
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Actas de conferencias sobre el tema "Trivial zeros"

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Pedrozo, HA, MA Zamarripa, JP Osorio Su�rez, A. Uribe-Rodr�guez, MS Diaz, and LT Biegler. "Impact of surrogate modeling in the formulation of pooling optimization problems for the CO2 point sources." In Foundations of Computer-Aided Process Design. PSE Press, 2024. http://dx.doi.org/10.69997/sct.193976.

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Post-combustion carbon capture technologies have the potential to contribute significantly to achieving the environmental goals of reducing CO2 emissions in the short term. However, these technologies are energy and cost-intensive, and the variability of flue gas represents important challenges. The optimal design and optimization of such systems are critical to reaching the net zero and net negative goals, in this context, the use of computer-aided process design can be very effective in overcoming these issues. In this study, we explore the implementation of carbon capture technologies withi
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Hanneken, John W., B. N. Narahari Achar, David M. Vaught, James M. Andrews, and Avery T. Carr. "Sums of the Zeros of the Single Parameter Mittag-Leffler Function With the Parameter Equal to One-Half." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86220.

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The sums of the powers of the reciprocals of the non-trivial (non-zero) zeros of the single parameter Mittag-Leffler function with alpha equal to one-half have been investigated. Analytical results for these sums were compared to the results from numerically summing over a billion zeros. Sums for integer powers from 3 to 10 agreed with the predictions of the analytical results but not for powers 1 and 2. The sum of the reciprocals of the zeros diverged in contrast to the analytical result and the sum of the squares of the zeros converged to a different result than predicted. This illustrates t
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Rubio-Sierra, F. J., R. Vazquez, and R. W. Stark. "Transfer Function Analysis of Atomic Force Microscope Cantilevers." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-81156.

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Current methods to study atomic force microscope (AFM) cantilever dynamics use model simplification or are based on the non-trivial solution of the equation of motion. As an alternative method, transfer function analysis gives a more complete description of system dynamics. In this work a transfer function study of two different AFM configurations, the point force and base driven cantilever, is presented. Exact analytical expressions of the infinite dimensional transfer function are derived for cantilever deflection and slope along the cantilever. Frequency response and transfer function infin
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Jakob Povšič, Jakob, and Andrej Brodnik. "Zero-Knowledge Authentication." In 7th Student Computer Science Research Conference. University of Maribor Press, 2021. http://dx.doi.org/10.18690/978-961-286-516-0.2.

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Zero-Knowledge proofs (ZKPs) enable proving of mathematical statements, revealing nothing but their validity. We design an authentication sys-tem with a ZKP as a password verification mech-anism within the Extensible Authentication Pro-tocol (EAP) framework. Designing a secure pass-word authentication system requires us to adopt security practices for protecting ourselves against the vulnerabilities of passwords. Integrating said practices is not trivial because of the tight cou-pling with the password verification method.
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Forni, Paolo, Alain Sarlette, Thibault Capelle, Emmanuel Flurin, Samuel Deleglise, and Pierre Rouchon. "Adiabatic Elimination for Multi-Partite Open Quantum Systems with Non-Trivial Zero-Order Dynamics." In 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018. http://dx.doi.org/10.1109/cdc.2018.8619205.

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Wihstutz, Volker. "Stabilization by Random Vibration." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0332.

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Abstract We consider the control system ẋ = Ax + Bu with stochastic mean zero high gain feedback control u. The classes of stochastic processes which can stabilize the trivial solution x = 0 depend on the rank of B. For rank B = 1 we characterize, in particular, the class of noise which stabilizes the originally unstable equilibrium of the linearized inverted pendulum.
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Yuan, Yuan Y. "Multiple Bifurcations of Synchronized Oscillators With Delays." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84584.

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The synchronized oscillator with two discrete time delays is considered. The local stability of the zero solution of this system is investigated by studying the distributions of the eigenvalues of the system. A complete bifurcation analysis is given by employing the center manifold theorem, normal form method and bifurcation theorem. It is shown that the trivial fixed point may lose stability via a transcritical/pitchfork bifurcation, Hopf bifurcation or Bogdanov-Takens bifurcation. Some numerical simulation examples are given for justify the theoretical results.
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Collins, Nick. "Sonification of the Riemann Zeta Function." In ICAD 2019: The 25th International Conference on Auditory Display. Department of Computer and Information Sciences, Northumbria University, 2019. http://dx.doi.org/10.21785/icad2019.003.

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The Riemann zeta function is one of the great wonders of mathematics, with a deep and still not fully solved connection to the prime numbers. It is defined via an infinite sum analogous to Fourier additive synthesis, and can be calculated in various ways. It was Riemann who extended the consideration of the series to complex number arguments, and the famous Riemann hypothesis states that the non-trivial zeroes of the function all occur on the critical line 0:5 + ti, and what is more, hold a deep correspondence with the prime numbers. For the purposes of sonification, the rich set of mathematic
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Ghayesh, Mergen H., Michael P. Païdoussis, and Marco Amabili. "Nonlinear Planar Dynamics of Fluid-Conveying Cantilevered Extensible Pipes." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-65785.

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This paper for the first time investigates the nonlinear planar dynamics of a cantilevered extensible pipe conveying fluid; the centreline of the pipe is considered to be extensible resulting in coupled longitudinal and transverse equations of motion; specifically, the kinetic and potential energies are obtained in terms of longitudinal and transverse displacements and then the extended version of the Lagrange equations for systems containing non-material volumes is employed to derive the equations of motion. Direct time integration along with the pseudo-arclength continuation method are emplo
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Vedula, Lalit, and N. Sri Namachchivaya. "Stochastic Stability of Linear Gyroscopic Systems: Application to Pipes Conveying Fluid." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-39024.

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In this paper we obtain asymptotic approximations for the moment Lyapunov exponent, g(p), and the Lyapunov exponent,λ, for a two-degree-of-freedom gyroscopic system close to a double zero resonance and subjected to small damping and noisy disturbances. Using a perturbation approach, we show analytically that the moment and the top Lyapunov exponent grow in proportion to ε1/3 when the damping and noise respectively are of O(ε) and O(ε). These results, pertaining to pth moment stability and almost-sure stability of the trivial solution, are applied to study the stochastic stability of a pipe con
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Informes sobre el tema "Trivial zeros"

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Roy, Dibyendu, Nilanjan Bondyopadhaya, and Sumanta Tewar. Topologically trivial zero bias conductance peak in semiconductor Majorana wires from boundary e ects. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1068217.

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También puede estar interesado en las bibliografías ampliadas sobre el tema "Trivial zeros" para tipos de fuentes particulares:
Artículos de revistas
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