Relevant bibliographies by topics / Periodic number

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Periodic number'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Periodic number"

1

Fatah, K. S., and A. I. Amen. "The Number of periodic solutions of a Riccati type logistic periodic equation." Journal of Zankoy Sulaimani - Part A 7, no. 1 (2003): 25–29. http://dx.doi.org/10.17656/jzs.10119.

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YAN, PING, and MEIRONG ZHANG. "ROTATION NUMBER, PERIODIC FUČIK SPECTRUM AND MULTIPLE PERIODIC SOLUTIONS." Communications in Contemporary Mathematics 12, no. 03 (2010): 437–55. http://dx.doi.org/10.1142/s0219199710003877.

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In this paper, we will introduce the rotation number for the one-dimensional asymmetric p-Laplacian with a pair of periodic potentials. Two applications of this notion will be given. One is a clear characterization of two unbounded sequences of Fučik curves of the periodic Fučik spectrum of the p-Laplacian with potentials. With the help of the Poincaré–Birkhoff fixed point theorem, the other application is some existence result of multiple periodic solutions of nonlinear ordinary differential equations concerning with the p-Laplacian.
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Wenxiang, Sun. "Periodic number for Anosov maps." Acta Mathematica Sinica 13, no. 2 (1997): 169–74. http://dx.doi.org/10.1007/bf02559955.

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H. M. Al-Ossmi, Laith. "A Simplified Method for Estimating Atomic Number and Neutrons Numbers of Elements Based on Period and Group Numbers in the Periodic Table." Oriental Journal of Chemistry 35, no. 1 (2019): 39–48. http://dx.doi.org/10.13005/ojc/350104.

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This research has proposed formulas, in which the atomic number and neutron numbers to any element in the periodic table are determined according to element position in the periodic table. These formulas have been arranged to fit with periodic system of elements in the IUPAC's Periodic Table. The main outcome is to introduce layout regularity, which may reflect the regularity of the periodic law more faithfully. In this research, atomic number to any element in the periodic table is predictably calculated by the group and period numbers which were displayed into 7 Periods horizontally, and 18 Groups vertically, determining and dispensing altogether the elements positions at the periodic system. Application of these proposed formulas showed linearity from has good agreement with these separated elements of Lanthanum in the f-block elements (Lanthanides and Actinides), which were in no interruptions in the sequence of increasing atomic numbers. In addition, the relationship of the f-block to the other blocks of the periodic table also becomes easier to see. In addition, the formulas are extensible to expanding future table and allowed determining the atomic number of the future elements starting from 119 till the element of 136, at the main body of the periodic table, and can be used as a simple and alternative method for determine the numbers of atomic and neutron in the IUPAC's Periodic Table.
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Bede, Barnabás, and Sorin G. Gal. "Almost periodic fuzzy-number-valued functions." Fuzzy Sets and Systems 147, no. 3 (2004): 385–403. http://dx.doi.org/10.1016/j.fss.2003.08.004.

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Chen, Qi, and Thang Le. "Quantum invariants of periodic links and periodic 3-manifolds." Fundamenta Mathematicae 184 (2004): 55–71. http://dx.doi.org/10.4064/fm184-0-4.

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Beyn, Wolf-Jürgen, Thorsten Hüls, and Malte-Christopher Samtenschnieder. "Onr-periodic orbits ofk-periodic maps." Journal of Difference Equations and Applications 14, no. 8 (2008): 865–87. http://dx.doi.org/10.1080/10236190801940010.

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Jiang, Boju. "Estimation of the number of periodic orbits." Pacific Journal of Mathematics 172, no. 1 (1996): 151–85. http://dx.doi.org/10.2140/pjm.1996.172.151.

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Méresse, P., Y. Renou, J. Vasseur, C. Audoly, and A. C. Hladky. "Propagation number in periodic structures considering losses." Journal of Physics: Conference Series 581 (January 29, 2015): 012012. http://dx.doi.org/10.1088/1742-6596/581/1/012012.

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Benci, Vieri, and Donato Fortunato. "Estimate of the Number of Periodic Solutions via the Twist Number." Journal of Differential Equations 133, no. 1 (1997): 117–35. http://dx.doi.org/10.1006/jdeq.1996.3199.

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Dissertations / Theses on the topic "Periodic number"

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Bashir, Nazir, and MD Hasirul Islam. "NUMBER OF PERIODIC POINTS OF CONGRUENTIAL MONOMIAL DYNAMICAL SYSTEMS." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-21258.

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In this thesis we study the number of periodic points of congruential monomial dynamical system. By concept of index calculus we are able to calculate the number of solutions for congruential equations. We give formula for the number of r-periodic points over prime power. Then we discuss about calculating the total number of periodic points and cycles of length r for prime power.
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Tang, Tongdar Danny. "Periodic flow in a bifurcating tube at moderate reynolds number." Diss., Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/17066.

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Connors, Richard D. "Classical periodic orbit correlations and quantum spectral statistics." Thesis, University of Bristol, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.246244.

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Benson, John D. "Transition to a time periodic flow in a through-flow lid-driven cavity." Thesis, Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/18179.

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Gutt, Jean. "On the minimal number of periodic Reeb orbits on a contact manifold." Phd thesis, Université de Strasbourg, 2014. http://tel.archives-ouvertes.fr/tel-01016954.

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Le sujet de cette thèse est la question du nombre minimal d'orbites de Reeb distinctes sur une variété de contact qui est le bord d'une variété symplectique compacte. L'homologie symplectique $S^1$-équivariante positive est un des outils principaux de cette thèse; elle est construite à partir d'orbites périodiques de champs de vecteurs hamiltoniens sur une variété symplectique dont le bord est la variété de contact considérée. Nous analysons la relation entre les différentes variantes d'homologie symplectique d'une variété symplectique exacte compacte (domaine de Liouville) et les orbites de Reeb de son bord. Nous démontrons certaines propriétés de ces homologies. Pour un domaine de Liouville plongé dans un autre, nous construisons un morphisme entre leurs homologies. Nous étudions ensuite l'invariance de ces homologies par rapport au choix de la forme de contact sur le bord. Nous utilisons l'homologie symplectique $S^1$-équivariante positive pour donner une nouvelle preuve d'un théorème de Ekeland et Lasry sur le nombre minimal d'orbites de Reeb distinctes sur certaines hypersurfaces dans $\R^{2n}$. Nous indiquons comment étendre au cas de certaines hypersurfaces dans certains fibrés en droites complexes négatifs. Nous donnons une caractérisation et une nouvelle façon de calculer l'indice de Conley-Zehnder généralisé, défini par Robbin et Salamon pour tout chemin de matrices symplectiques. Ceci nous a mené à développer de nouvelles formes normales de matrices symplectiques.
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Streipel, Jakob. "Modelling the Number of Periodic Points of Quadratic Maps Using Random Maps." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-65548.

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Since the introduction of Pollard's rho method for integer factorisation in 1975 there has been great interest in understanding the dynamics of quadratic maps over finite fields. One avenue for this, and indeed the heuristic on which Pollard bases the proof of the method's efficacy, is the idea that quadratic maps behave roughly like random maps. We explore this heuristic from the perspective of comparing the number of periodic points. We find that empirically random maps appear to model the number of periodic points of quadratic maps well, and moreover prove that the number of periodic points of random maps satisfy an interesting asymptotic behaviour that we have observed experimentally for quadratic maps.
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Streipel, Jakob. "On the Number of Periodic Points of Quadratic Dynamical Systems Modulo a Prime." Thesis, Linnéuniversitetet, Institutionen för matematik (MA), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-45635.

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We investigate the number of periodic points of certain discrete quadratic maps modulo prime numbers. We do so by first exploring previously known results for two particular quadratic maps, after which we explain why the methods used in these two cases are hard to adapt to a more general case. We then perform experiments and find striking patterns in the behaviour of these general cases which suggest that, apart from the two special cases, the number of periodic points of all quadratic maps of this type behave the same. Finally we formulate a conjecture to this effect.
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Rogers, Daniel R. "Design of a Three-Passage Low Reynolds Number Turbine Cascade with Periodic Flow Conditions." Diss., CLICK HERE for online access, 2008. http://contentdm.lib.byu.edu/ETD/image/etd2684.pdf.

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Nyqvist, Robert. "Algebraic Dynamical Systems, Analytical Results and Numerical Simulations." Doctoral thesis, Växjö : Växjö University Press, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:vxu:diva-1142.

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Maia, Bruno. "An equivalent system for studying periodic points of the beta-transformation for a Pisot or a Salem number." Doctoral thesis, University of Warwick, 2008. http://hdl.handle.net/11144/471.

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We propose an equivalent system ( e C, L) for studying the set of eventually periodic points, P er(T β ), for the beta-transformation of the unit interval, when β is a Pisot or a Salem number. This system is defined by a map e C, which is closely related to the companion matrix C of the minimal polynomial of β (of degree d ≥ 2), and by a set of points L ⊂ Q d . The systems ( e C, L) and T β , [0, 1) ∩ Q(β) are semi-conjugate and furthermore the semi-conjugacy is one-to-one. Given that P er(T β ) ⊆ [0, 1) ∩ Q(β), we say that ( e C, L) is an equivalent system as far as the study of periodic points is concerned. We define symbolic dynamics for ( e C, L), which is related to the beta-expansions of numbers in the unit interval. We show that e C can be factored to the toral automorphism defined by C and we also study the geometry of ( e C, L). The main motivation for this work is Schmidt’s paper [Sch80], and in particular the theorem that P er(T β ) = [0, 1) ∩ Q(β) when β is a Pisot number, and the conjecture that the same should be true when β is a Salem number. We compare the different dynamical behaviours of ( e C, L) when β is Pisot and when β is Salem , and state some of the implications of Schmidt’s theorem and conjecture. Finally, we use computer simulations and plots for a particular Salem case of degree 4, with a view to gaining further insight about the general Salem case<br>FCT
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Books on the topic "Periodic number"

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C, Levendis Demetrius, ed. Number theory and the periodicity of matter. Springer, 2008.

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Barker, Bruce. Periodic dam safety inspection report: Greenwood Reservoirs number 1 and 2. Shorelands & Water Resources Program, Dam Safety Section, Washington State Dept. of Ecology, 1996.

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Jürgen, Spilker, ed. Arithmetical functions: An introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties. Cambridge University Press, 1994.

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Schwarz, Wolfgang. Arithmetical functions: An introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties. Cambridge University Press, 1994.

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1949-, Karlovich Yuri I., and Spitkovskiĭ Ilya M. 1953-, eds. Convolution operators and factorization of almost periodic matrix functions. Birkhäuser Verlag, 2002.

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Skriganov, M. M. Geometric and arithmetic methods in the spectral theory of multidimensional periodic operators. American Mathematical Society, 1987.

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Office, General Accounting. Tax administration: Periodic evaluation needed if IRS uses levies to collect deferred accounts : report to the Joint Committee on Taxation, U.S. Congress. The Office, 1989.

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D, Goldfeld, ed. Collected works of Hervé Jacquet. American Mathematical Society, 2011.

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Martínez Jiménez, Isaac Sastre de Diego, and Carlos Tejerizo. The Iberian Peninsula between 300 and 850. Amsterdam University Press, 2018. http://dx.doi.org/10.5117/9789089647771.

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The vast transformation of the Roman world at the end of antiquity has been a subject of broad scholarly interest for decades, but until now no book has focused specifically on the Iberian Peninsula in the period as seen through an archaeological lens. Given the sparse documentary evidence available, archaeology holds the key to a richer understanding of the developments of the period, and this book addresses a number of issues that arise from analysis of the available material culture, including questions of the process of Christianisation and Islamisation, continuity and abandonment of Roman urban patterns and forms, the end of villas and the growth of villages, and the adaptation of the population and the elites to the changing political circumstances.
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United States. National Aeronautics and Space Administration., ed. Wave number selection for incompressible parallel jet flows periodic in space. National Aeronautics and Space Administration, 1997.

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Book chapters on the topic "Periodic number"

1

Einsiedler, M., G. Everest, and T. Ward. "Morphic Heights and Periodic Points." In Number Theory. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4419-9060-0_9.

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Ito, Shunji, and Yuki Sano. "Substitutions, Atomic Surfaces, and Periodic Beta Expansions." In Analytic Number Theory. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4757-3621-2_12.

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Kaloshin, Vadim Yu. "Growth rate of the number of periodic points." In Normal Forms, Bifurcations and Finiteness Problems in Differential Equations. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-94-007-1025-2_10.

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Matsuoka, Takashi. "The number of periodic orbits of smooth maps." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0086450.

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Liao, Shijun. "Resonance of Arbitrary Number of Periodic Traveling Water Waves." In Homotopy Analysis Method in Nonlinear Differential Equations. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25132-0_16.

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Mikoda, Akihiro, Shuichi Inokuchi, Yoshihiro Mizoguchi, and Mitsuhiko Fujio. "The Number of Orbits of Periodic Box-Ball Systems." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11839132_15.

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Soward, A. M., and S. Childress. "Large Magnetic Reynolds Number Dynamo Action in Steady Spatially Periodic Flows." In NATO ASI Series. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-5793-3_52.

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Danaila, Ionut, Jan Dušek, and Fabien Anselmet. "Nonlinear Dynamics of Low Reynolds Number Round Jets: Periodic Attractors and Transition to Chaos." In Fluid Mechanics and Its Applications. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5118-4_25.

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Wirowski, Artur, and Paweł Szczerba. "The Modeling of Nonlinear Rotational Vibration in Periodic Medium with Infinite Number of Degrees of Freedom." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-42402-6_33.

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Lee, Jae Bong, Jai Hak Park, Sung Ho Lee, Hong Deok Kim, and Han Sub Chung. "Estimation of the Number of Physical Flaws from Periodic ISI Data of SG Tubes Using Effective POD." In Solid State Phenomena. Trans Tech Publications Ltd., 2006. http://dx.doi.org/10.4028/3-908451-15-9.239.

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Conference papers on the topic "Periodic number"

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UCHIDA, Yoshiaki. "Periodic knots with delta-unknotting number one." In Proceedings of the International Conference on Knot Theory and Its Ramifications. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792679_0033.

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KRASNOSEL'SKII, A., and D. RACHINSKII. "ON THE NUMBER OF BRANCHES OF PERIODIC SOLUTIONS." In Proceedings of the International Conference on Differential Equations. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812702067_0031.

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Zong, Hui, Zining Cao, Jianyang Zhao, and Yuanzhou Zhu. "Evaluation of periodic characteristics of pseudo-random number generator." In 14th International FLINS Conference (FLINS 2020). WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811223334_0039.

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Zeng, Fanxin, Xiaoping Zeng, Zhenyu Zhang, and Guixin Xuan. "Number of Distinct 16-QAM Periodic Complementary Sequence Sets." In 2nd International Conference on Computer Science and Electronics Engineering (ICCSEE 2013). Atlantis Press, 2013. http://dx.doi.org/10.2991/iccsee.2013.683.

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Ivanov, Gennady, Gennady Alferov, Polina Gorovenko, and Artem Sharlay. "Estimation of periodic solutions number of first-order differential equations." In THE EIGHTH POLYAKHOV’S READING: Proceedings of the International Scientific Conference on Mechanics. Author(s), 2018. http://dx.doi.org/10.1063/1.5034723.

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Crunkleton, Daniel W. "Periodic oscillations of low Prandtl-number fluids in rectangular enclosures." In HADRONS AND NUCLEI: First International Symposium. AIP, 2000. http://dx.doi.org/10.1063/1.1302587.

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Miles, Jeffrey, and Jeffrey Miles. "Wave number selection for incompressible parallel jet flows periodic in space." In 28th Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1997. http://dx.doi.org/10.2514/6.1997-1996.

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Yau, Henry, and Richard W. Longman. "Digital Repetitive Control of Periodic Coefficient Systems with Non-Integer Number of Times Steps per Period." In AIAA/AAS Astrodynamics Specialist Conference. American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-5643.

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Jiang, Lishuang, Jing Li, and Wei Zhang. "The maximum number of periodic solutions for a deployable circular mesh antenna model." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0026767.

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Alferov, Gennady, Gennady Ivanov, Artem Sharlay, and Viktor Fedorov. "Estimation for number of almost periodic solutions of first-order ordinary differential equations." In CENTRAL EUROPEAN SYMPOSIUM ON THERMOPHYSICS 2019 (CEST). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5114064.

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Reports on the topic "Periodic number"

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Shibaev, Alexander. Connection between period of low-frequency component wolf's numbers (WNS)and length of wolf's numbers series. Prof. Marin Drinov Publishing House of Bulgarian Academy of Sciences, 2018. http://dx.doi.org/10.7546/aerebu.29.18.01.01.

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Suh, Jooyeoun, Changa Dorji, Valerie Mercer-Blackman, and Aimee Hampel-Milagrosa. Valuing Unpaid Care Work in Bhutan. Asian Development Bank, 2020. http://dx.doi.org/10.22617/wps200065-2.

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A growing body of scholarly literature has attempted to measure and value unpaid care work in various countries, but perhaps only the government statistical agencies in the United States and the United Kingdom have seriously undertaken periodic and systematic measures of the time spent on unpaid work at the national level, and partially incorporated those values into their gross domestic product(GDP). One country that has been ahead of its time on aspects of societal welfare measurement is Bhutan, which produces the Gross National Happiness (GNH) Index. However, until the first GNH Survey, in 2008, Bhutan did not have any sense of the size and distribution of unpaid work, despite its strong societal norms about the value of volunteering and community work. This paper is the first to estimate the value of unpaid care work in Bhutan. It shows the pros and cons of various approaches and their equivalent measures of unpaid care work as a share of GDP. As with similar studies on the topic, this paper also finds that women spend more than twice as much time as men performing unpaid care work, regardless of their income, age, residency, or number of people in the household. The paper also provides recommendations for improving the measurement of unpaid care work in Bhutan.
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Meggitt, Dallas J. Final Technical Report Advanced Anchoring Technology DOE Award Number DE-EE0003632 Project Period 09/10 - 09/12. Office of Scientific and Technical Information (OSTI), 2012. http://dx.doi.org/10.2172/1054522.

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Hirschon, A. S., D. S. Tse, R. Malhotra, D. F. McMillen, and D. S. Ross. Exploratory coprocessing research: Quarterly report number 2, for the period December 1, 1988 to February 28, 1989. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6244617.

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Klosky, M. Dickinson Pure Air Combustion ERIP technical progress report number 4 [for the reporting period 7/98 through 9/98]. Office of Scientific and Technical Information (OSTI), 1998. http://dx.doi.org/10.2172/670111.

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Imbrie, Andrew, James Dunham, Rebecca Gelles, and Catherine Aiken. Mainframes: A Provisional Analysis of Rhetorical Frames in AI. Center for Security and Emerging Technology, 2020. http://dx.doi.org/10.51593/20190046.

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Are great powers engaged in an artificial intelligence arms race? This issue brief explores the rhetorical framing of AI by analyzing more than 4,000 English-language articles over a seven-year period. Among its findings: a growing number of articles frame AI development as a competition, but articles using the competition frame represent a declining proportion of articles about AI.
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Maeno, Yoshiharu. Epidemiological geographic profiling for a meta-population network. Web of Open Science, 2020. http://dx.doi.org/10.37686/ser.v1i2.78.

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Epidemiological geographic profiling is a statistical method for making inferences about likely areas of a source from the geographical distribution of patients. Epidemiological geographic profiling algorithms are developed to locate a source from the dataset on the number of new cases for a meta-population network model. It is found from the WHO dataset on the SARS outbreak that Hong Kong remains the most likely source throughout the period of observation. This reasoning is pertinent under the restricted circumstance that the number of reported probable cases in China was missing, unreliable, and incomprehensive. It may also imply that globally connected Hong Kong was more influential as a spreader than China. Singapore, Taiwan, Canada, and the United States follow Hong Kong in the likeliness ranking list
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Arhin, Stephen, Babin Manandhar, Hamdiat Baba Adam, and Adam Gatiba. Predicting Bus Travel Times in Washington, DC Using Artificial Neural Networks (ANNs). Mineta Transportation Institute, 2021. http://dx.doi.org/10.31979/mti.2021.1943.

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Washington, DC is ranked second among cities in terms of highest public transit commuters in the United States, with approximately 9% of the working population using the Washington Metropolitan Area Transit Authority (WMATA) Metrobuses to commute. Deducing accurate travel times of these metrobuses is an important task for transit authorities to provide reliable service to its patrons. This study, using Artificial Neural Networks (ANN), developed prediction models for transit buses to assist decision-makers to improve service quality and patronage. For this study, we used six months of Automatic Vehicle Location (AVL) and Automatic Passenger Counting (APC) data for six Washington Metropolitan Area Transit Authority (WMATA) bus routes operating in Washington, DC. We developed regression models and Artificial Neural Network (ANN) models for predicting travel times of buses for different peak periods (AM, Mid-Day and PM). Our analysis included variables such as number of served bus stops, length of route between bus stops, average number of passengers in the bus, average dwell time of buses, and number of intersections between bus stops. We obtained ANN models for travel times by using approximation technique incorporating two separate algorithms: Quasi-Newton and Levenberg-Marquardt. The training strategy for neural network models involved feed forward and errorback processes that minimized the generated errors. We also evaluated the models with a Comparison of the Normalized Squared Errors (NSE). From the results, we observed that the travel times of buses and the dwell times at bus stops generally increased over time of the day. We gathered travel time equations for buses for the AM, Mid-Day and PM Peaks. The lowest NSE for the AM, Mid-Day and PM Peak periods corresponded to training processes using Quasi-Newton algorithm, which had 3, 2 and 5 perceptron layers, respectively. These prediction models could be adapted by transit agencies to provide the patrons with accurate travel time information at bus stops or online.
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Downing, W. Logan, Howell Li, William T. Morgan, Cassandra McKee, and Darcy M. Bullock. Using Probe Data Analytics for Assessing Freeway Speed Reductions during Rain Events. Purdue University, 2021. http://dx.doi.org/10.5703/1288284317350.

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Rain impacts roadways such as wet pavement, standing water, decreased visibility, and wind gusts and can lead to hazardous driving conditions. This study investigates the use of high fidelity Doppler data at 1 km spatial and 2-minute temporal resolution in combination with commercial probe speed data on freeways. Segment-based space-mean speeds were used and drops in speeds during rainfall events of 5.5 mm/hour or greater over a one-month period on a section of four to six-lane interstate were assessed. Speed reductions were evaluated as a time series over a 1-hour window with the rain data. Three interpolation methods for estimating rainfall rates were tested and seven metrics were developed for the analysis. The study found sharp drops in speed of more than 40 mph occurred at estimated rainfall rates of 30 mm/hour or greater, but the drops did not become more severe beyond this threshold. The average time of first detected rainfall to impacting speeds was 17 minutes. The bilinear method detected the greatest number of events during the 1-month period, with the most conservative rate of predicted rainfall. The range of rainfall intensities were estimated between 7.5 to 106 mm/hour for the 39 events. This range was much greater than the heavy rainfall categorization at 16 mm/hour in previous studies reported in the literature. The bilinear interpolation method for Doppler data is recommended because it detected the greatest number of events and had the longest rain duration and lowest estimated maximum rainfall out of three methods tested, suggesting the method balanced awareness of the weather conditions around the roadway with isolated, localized rain intensities.
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10

Zilberman, Mark. Methods to Test the “Dimming Effect” Produced by a Decrease in the Number of Photons Received from Receding Light Sources. Intellectual Archive, 2020. http://dx.doi.org/10.32370/iaj.2437.

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The hypothetical “Dimming Effect” describes the change of the number of photons arriving from a moving light source per unit of time. In non-relativistic systems, the “Dimming effect” may occur due to the growing distance of light sources moving away from the receiver. This means that due to the growing distance, the photons continuously require more time to reach the receiver, which reduces the number of received photons per time unit compared to the number of emitted photons. Understandably, the proposed “Dimming effect” must be tested (confirmed or rejected) through observations. a. This article provides the formula for the calculation of “Dimming effect” values using the redshift parameter Z widely used in astronomy. b. The “Dimming effect” can possibly be detected utilizing the orbital movement of the Earth around the Sun. In accordance to the “Dimming effect”, observers on Earth will view 1.0001 more photons per time unit emitted by stars located near the ecliptic plane in the direction of the Earth orbiting the Sun. And, in contrast, observers will view only 0.9999 photons per time unit emitted by stars located near the ecliptic plane in the direction opposite to the Earth orbiting the Sun. Calculating precise measurements of the same stars within a 6-month period can possibly detect this difference. These changes in brightness are not only for specific stars, as the change in brightness takes place for all stars near the ecliptic in the direction of the Earth’s orbit around the Sun and in the opposite direction. c. The “Dimming effect” can possibly be detected in a physics laboratory using a moving light source (or mirror) and photon counters located in the direction of travel and in the opposite direction. d. In theory, Dilation of time can also be used for testing the existence of the “Dimming effect.” However, in experiments on Earth this effect appears in only the 14th digit after the decimal point and testing does not appear to be feasible. e. Why is it important to test the “Dimming effect?” If confirmed, it would allow astronomers to adjust values of "Standard Candles" used in astronomy. Since “Standard Candles” are critical in various cosmological models, the “Dimming effect” can correct models and/or reveal and support new models. If it is proved that the “Dimming effect” does not exist, it will mean that the number of photons arriving per unit of time does not depend on the speed of the light source and observer, which is not so apparent.
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