Journal articles on the topic 'Torus'

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1

Liu, Xiao-Ming, Chang-Yuan Liu, Jun-Hai Yong, and Jean-Claude Paul. "Torus/Torus Intersection." Computer-Aided Design and Applications 8, no. 3 (January 2011): 465–77. http://dx.doi.org/10.3722/cadaps.2011.465-477.

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2

Karavaev, Alexandr, Andrei Ryzhkov, and Valerii Kazakov. "Birth and death of fractal tore in the Belousov - Zhabotinsky reaction model." Izvestiya VUZ. Applied Nonlinear Dynamics 9, no. 1 (2001): 89–100. http://dx.doi.org/10.18500/0869-6632-2001-9-1-89-100.

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The mechanism of birth and destruction of chaotic toroidal attractor — fractal tore — is investigated for the 11—stage Belousov — Zhabotinsky reaction model. It is revealed, that fractal tore emerges as а result of period—doubling bifurcations cascade of а resonant state оп torus, and disappears through type I intermittency. Constructed bifurcation diagram shows, that fractal toris exist in a wide enough range, where resonant states, fractal toris and areas of intermittency appear conformingly in turn. It gives the basis to believe, that observed model dynamics, as the Belousov — Zhabotinsky reaction itself, involves two fundamental frequencies, and that the evolution of described regimes occurs on torus upon general tendency of rotation number to reduction.
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3

Kim, Ku-Jin. "Circles in torus–torus intersections." Journal of Computational and Applied Mathematics 236, no. 9 (March 2012): 2387–97. http://dx.doi.org/10.1016/j.cam.2011.11.025.

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4

Sinha, Roopak, Barry Dowdeswell, Gulnara Zhabelova, and Valeriy Vyatkin. "TORUS." ACM Transactions on Cyber-Physical Systems 3, no. 2 (March 7, 2019): 1–25. http://dx.doi.org/10.1145/3203208.

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5

Yang, X., Y. Y. Tang, and J. Cao. "Embedding torus in hexagonal honeycomb torus." IET Computers & Digital Techniques 2, no. 2 (2008): 86. http://dx.doi.org/10.1049/iet-cdt:20050219.

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6

Afshari, F., and M. Maghasedi. "Rhomboidal C4C8 toris which are Cayley graphs." Discrete Mathematics, Algorithms and Applications 11, no. 03 (June 2019): 1950033. http://dx.doi.org/10.1142/s1793830919500332.

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A [Formula: see text] net is a trivalent decoration made by alternating squares [Formula: see text] and octagons [Formula: see text]. It can cover either a cylinder or a torus. In this paper, we determine rhomboidal [Formula: see text] toris which are Cayley graphs.
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7

Lee, Sangyop. "Torus knots obtained by twisting torus knots." Algebraic & Geometric Topology 15, no. 5 (November 12, 2015): 2819–38. http://dx.doi.org/10.2140/agt.2015.15.2819.

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8

Eggen, Svein, and Bent Natvig. "Concurrence of torus mandibularis and torus palatinus." European Journal of Oral Sciences 102, no. 1 (February 1994): 60–63. http://dx.doi.org/10.1111/j.1600-0722.1994.tb01154.x.

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9

Lee, Sangyop. "Twisted torus knots T(p,q,p − kq,−1) which are torus knots." Journal of Knot Theory and Its Ramifications 29, no. 09 (August 2020): 2050068. http://dx.doi.org/10.1142/s0218216520500686.

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A twisted torus knot is a torus knot with some consecutive strands twisted. More precisely, a twisted torus knot [Formula: see text] is a torus knot [Formula: see text] with [Formula: see text] consecutive strands [Formula: see text] times fully twisted. We determine which twisted torus knots [Formula: see text] are a torus knot.
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10

Naidoo, Pumersha, Narisha Maharaj, Jaynund Maharajh, and Ashraf Moosa. "Torus palatinus." South African Journal of Radiology 17, no. 4 (November 8, 2013): 141–42. http://dx.doi.org/10.4102/sajr.v17i4.7.

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Kupffer and Bessel-Hagen coined the term torus palatinus in 1879 for a benign osseous protuberance arising from the midline of the hard palate. Tori are present in approximately 20% of the population and are occult until adulthood. Recent advances in modern radiology have led to improved evaluation and diagnosis of tori.
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11

Naidoo, Pumersha, Narisha Maharaj, Jaynund Maharajh, and Ashraf Moosa. "Torus palatinus." South African Journal of Radiology 17, no. 4 (October 9, 2013): 141. http://dx.doi.org/10.7196/sajr.876.

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12

Tran, Khiem T., and Marcia Shannon. "Torus Palatinus." New England Journal of Medicine 356, no. 17 (April 26, 2007): 1759. http://dx.doi.org/10.1056/nejmicm060888.

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13

Paula, J. S., C. C. Rezende, and M. V. Q. Paula. "Torus Mandibular." Odonto 18, no. 35 (June 30, 2010): 81–86. http://dx.doi.org/10.15603/2176-1000/odonto.v18n35p81-86.

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14

Lorenz, Dirk. "Torus-Origami." Mitteilungen der Deutschen Mathematiker-Vereinigung 26, no. 4 (December 1, 2018): 204–5. http://dx.doi.org/10.1515/dmvm-2018-0062.

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15

Rossello, Valeria Elizabeth, María Noelia Andrade, Virginia Ruth López Gamboa, María Julia Blanzari, María Susana Gómez Zanni, and Mariana Beatriz del Valle Papa. "Torus Palatino." Medicina Cutánea Ibero-Latino-Americana 47, no. 3 (2019): 216–18. http://dx.doi.org/10.35366/91762.

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16

Vaduganathan, Muthiah, Ariel E. Marciscano, and Kristian R. Olson. "Torus Palatinus." Baylor University Medical Center Proceedings 27, no. 3 (July 2014): 259. http://dx.doi.org/10.1080/08998280.2014.11929131.

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17

Deinzer, W., H. Grosser, and D. Schmitt. "Torus-Dynamo." Symposium - International Astronomical Union 140 (1990): 95–96. http://dx.doi.org/10.1017/s007418090018965x.

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Accretion disks around compact objects as well as the gaseous components in galaxies often have the form of a torus. To study the structure and behaviour of magnetic fields generated in such rings, a dynamo is investigated, which is working inside a torus embedded into vacuum. The equations for the kinematic αω-dynamo are written down in toroidal coordinates (see Figure 1). Besides loss of magnetic flux by Ohmic diffusion (characterized by the magnetic diffusivity D) they describe its production by the inductive effects of differential rotation and of turbulent matter, which we have chosen as ω(r) = ω′0r and α = α0 sin θ, respectively. These equations are solved by series expansion into the exponential decay modes of slender tori, which are available in analytical form. A linear homogeneous system of equations follows for the expansion coefficients; its eigenvalues determine the time-dependence of the solutions, the dynamo modes.
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18

Bennett, William M. "Torus Palatinus." New England Journal of Medicine 368, no. 15 (April 11, 2013): 1434. http://dx.doi.org/10.1056/nejmicm1205313.

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19

Arcuri, Plinio, and Luana Campos. "Torus Mandibularis." New England Journal of Medicine 368, no. 9 (February 28, 2013): e11. http://dx.doi.org/10.1056/nejmicm1207099.

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20

Tokunaga, R., and A. Logvinenko. "Hue torus." Journal of Vision 10, no. 7 (August 6, 2010): 448. http://dx.doi.org/10.1167/10.7.448.

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21

Thariat, Juliette, and Pierre-Yves Marcy. "Torus palatin." La Presse Médicale 39, no. 11 (November 2010): 1224–25. http://dx.doi.org/10.1016/j.lpm.2010.02.053.

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22

Kekkonen-Moneta, Synnöve. "Torus orientation." Distributed Computing 15, no. 1 (January 1, 2002): 39–48. http://dx.doi.org/10.1007/s446-002-8029-y.

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23

Rozas-Pérez, E., C. Bravo, and E. Rozas-Muñoz. "Torus Palatinus." Actas Dermo-Sifiliográficas (English Edition) 110, no. 1 (January 2019): e6. http://dx.doi.org/10.1016/j.adengl.2018.10.013.

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24

Poyatos, José Lamolda, Clara González Jiménez, and Estibaliz Gil Iriondo. "Torus mandibular." FMC - Formación Médica Continuada en Atención Primaria 21, no. 7 (August 2014): 432–33. http://dx.doi.org/10.1016/s1134-2072(14)70807-2.

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25

Rozas-Pérez, E., C. Bravo, and E. Rozas-Muñoz. "Torus palatinus." Actas Dermo-Sifiliográficas 110, no. 1 (January 2019): e6. http://dx.doi.org/10.1016/j.ad.2017.08.020.

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26

Vavriv, D. M., and A. Yu Nimets. "TORUS HYSTERESIS." Radio physics and radio astronomy 19, no. 3 (September 3, 2014): 267–75. http://dx.doi.org/10.15407/rpra19.03.267.

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27

Afraimovich, Valentin. "Torus breakdown." Scholarpedia 2, no. 10 (2007): 1933. http://dx.doi.org/10.4249/scholarpedia.1933.

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28

Nolte, Adelheid, and Carl Georg Schirren. "Torus mandibularis." Der Hautarzt 48, no. 6 (June 20, 1997): 414–16. http://dx.doi.org/10.1007/s001050050604.

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29

Chaubal, Tanay V., Ranjeet Bapat, and Kartik Poonja. "Torus Mandibularis." American Journal of Medicine 130, no. 10 (October 2017): e451. http://dx.doi.org/10.1016/j.amjmed.2017.04.026.

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30

Lee, Sangyop. "Composite Knots Obtained by Twisting Torus Knots." International Mathematics Research Notices 2019, no. 18 (December 9, 2017): 5744–76. http://dx.doi.org/10.1093/imrn/rnx282.

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Abstract A twisted torus knot is obtained from a torus knot by performing full twists on some adjacent strands of the torus knot. Morimoto constructed infinitely many twisted torus knots which are composite knots and he conjectured that his knots are all of composite twisted torus knots. We show that his conjecture is almost true by giving a complete list of such twisted torus knots.
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31

Al Quran, Firas A. M., and Ziad N. Al-Dwairi. "Torus Palatinus and Torus Mandibularis in Edentulous Patients." Journal of Contemporary Dental Practice 7, no. 2 (2006): 112–19. http://dx.doi.org/10.5005/jcdp-7-2-112.

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Abstract Aim To determine the prevalence of tori in Jordanian edentulous patients, the sex variation in their distribution, and their clinical characteristics. Methods Three hundred and thirty eight patients were examined in the Prosthodontic Clinic in the Department of Restorative Dentistry at Jordan University of Science and Technology. The location, extent, and clinical presentation of tori were recorded related to the age and sex of patients. Results The overall prevalence of tori was 13.9%. The prevalence of torus palatinus was 29.8% (14/47), while that of torus mandibularis was significantly higher 42.6%(20/47). Both types of tori were associated with each other in 27.7% of cases (13/47). Conclusions There was no significant difference in the prevalence of tori between males and females. There seems to be a strong association between mandibular and palatal tori. Citation Al Quran FAM, Al-Dwairi ZN. Torus Palatinus and Torus Mandibularis in Edentulous Patients. J Contemp Dent Pract 2006 May;(7)2:112-119.
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32

Lee, Sangyop. "Positively twisted torus knots which are torus knots." Journal of Knot Theory and Its Ramifications 28, no. 03 (March 2019): 1950023. http://dx.doi.org/10.1142/s0218216519500238.

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A twisted torus knot [Formula: see text] is obtained from a torus knot [Formula: see text] by twisting [Formula: see text] adjacent strands of [Formula: see text] fully [Formula: see text] times. In this paper, we determine the parameters [Formula: see text] for which [Formula: see text] is a torus knot with [Formula: see text].
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33

Miyoshi, Tetsuya, Takashi Nitanai, Noriaki Mikami, and Naohiko Inaba. "Torus window in a torus-doubling generating circuit." Electronics and Communications in Japan (Part III: Fundamental Electronic Science) 85, no. 5 (January 23, 2002): 56–62. http://dx.doi.org/10.1002/ecjc.1094.

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34

Kawaguchi, Takeshi. "Radii of gyration and scattering functions of a torus and its derivatives." Journal of Applied Crystallography 34, no. 5 (September 25, 2001): 580–84. http://dx.doi.org/10.1107/s0021889801009517.

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A torus is a simple body with cylindrical rotational symmetry. The radius of gyration and scattering function of a torus have been derived in cylindrical coordinates. Some derivatives of a torus (torus with elliptical cross section, tubular torus and two stacked tori) have been treated in the same manner as the torus. The radii of gyration are given by simple formulae and the scattering curves are easily obtained by numerical calculation using a personal computer.
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35

ASHWIN, PETER, and JAMES W. SWIFT. "TORUS DOUBLING IN FOUR WEAKLY COUPLED OSCILLATORS." International Journal of Bifurcation and Chaos 05, no. 01 (February 1995): 231–41. http://dx.doi.org/10.1142/s021812749500017x.

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We present evidence of torus doubling in systems of four weakly coupled oscillators. We assume that the oscillators are dissipative, so the system has an attracting invariant four-torus giving a Poincaré map on a section which is a three-torus. Using averaging, the asymptotic dynamics can be approximated by a flow on a three-torus. Thus it is possible to have period doubling in the averaged flow, corresponding to torus doubling in the unaveraged system; this is not possible for three or fewer oscillators in the weakly coupled limit. We observe torus-doubling bifurcations for a three-torus map and for a system of four coupled electronic oscillators.
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36

LEE, KYUNG BAI, and FRANK RAYMOND. "MAXIMAL TORUS ACTIONS ON SOLVMANIFOLDS AND DOUBLE COSET SPACES." International Journal of Mathematics 02, no. 01 (February 1991): 67–76. http://dx.doi.org/10.1142/s0129167x91000065.

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Any compact, connected Lie group which acts effectively on a closed aspherical manifold is a torus Tk with k ≤ rank of [Formula: see text], the center of π1 (M). When [Formula: see text], the torus action is called a maximal torus action. The authors have previously shown that many closed aspherical manifolds admit maximal torus actions. In this paper, a smooth maximal torus action is constructed on each solvmanifold. They also construct smooth maximal torus actions on some double coset spaces of general Lie groups as applications.
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37

NAKAMURA, INASA. "BRAIDING SURFACE LINKS WHICH ARE COVERINGS OVER THE STANDARD TORUS." Journal of Knot Theory and Its Ramifications 21, no. 01 (January 2012): 1250011. http://dx.doi.org/10.1142/s0218216511009650.

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We consider a surface link in the 4-space which can be presented by a simple branched covering over the standard torus, which we call a torus-covering link. Torus-covering links include spun T2-knots and turned spun T2-knots. In this paper we braid a torus-covering link over the standard 2-sphere. This gives an upper estimate of the braid index of a torus-covering link. In particular we show that the turned spun T2-knot of the torus (2, p)-knot has the braid index four.
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38

Amoranto, Evan, Brandy Doleshal, and Matt Rathbun. "Additional cases of positive twisted torus knots." Journal of Knot Theory and Its Ramifications 26, no. 12 (October 2017): 1750078. http://dx.doi.org/10.1142/s021821651750078x.

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A twisted torus knot is a knot obtained from a torus knot by twisting adjacent strands by full twists. The twisted torus knots lie in [Formula: see text], the genus 2 Heegaard surface for [Formula: see text]. Primitive/primitive and primitive/Seifert knots lie in [Formula: see text] in a particular way. Dean gives sufficient conditions for the parameters of the twisted torus knots to ensure they are primitive/primitive or primitive/Seifert. Using Dean’s conditions, Doleshal shows that there are infinitely many twisted torus knots that are fibered and that there are twisted torus knots with distinct primitive/Seifert representatives with the same slope in [Formula: see text]. In this paper, we extend Doleshal’s results to show there is a four parameter family of positive twisted torus knots. Additionally, we provide new examples of twisted torus knots with distinct representatives with the same surface slope in [Formula: see text].
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39

Galt, Alexey. "On splitting of the normalizer of a maximal torus in linear groups." Journal of Algebra and Its Applications 14, no. 07 (April 24, 2015): 1550114. http://dx.doi.org/10.1142/s0219498815501145.

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We describe linear groups over an algebraically closed field in which the normalizer of a maximal torus splits over the torus. We describe linear groups over a finite field and their maximal tori in which the normalizer of the maximal torus splits over the torus.
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40

Inaba, N., M. Sekikawa, Y. Shinotsuka, K. Kamiyama, K. Fujimoto, T. Yoshinaga, and T. Endo. "Bifurcation scenarios for a 3D torus and torus-doubling." Progress of Theoretical and Experimental Physics 2014, no. 2 (February 1, 2014): 23A01–0. http://dx.doi.org/10.1093/ptep/ptt122.

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41

Gao, Zhe. "Compact magnetic confinement fusion: Spherical torus and compact torus." Matter and Radiation at Extremes 1, no. 3 (May 2016): 153–62. http://dx.doi.org/10.1016/j.mre.2016.05.004.

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42

Galaz-García, Fernando, Martin Kerin, Marco Radeschi, and Michael Wiemeler. "Torus Orbifolds, Slice-Maximal Torus Actions, and Rational Ellipticity." International Mathematics Research Notices 2018, no. 18 (March 24, 2017): 5786–822. http://dx.doi.org/10.1093/imrn/rnx064.

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43

Kim, Yoosik. "Chekanov torus and Gelfand–Zeitlin torus in S2 × S2." Differential Geometry and its Applications 93 (April 2024): 102091. http://dx.doi.org/10.1016/j.difgeo.2023.102091.

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44

Zhen, Li, Husniyati Roslan, Nawal Radhiah Abdul Rahman, and Anis Farhan Kamaruddin. "TORUS PALATINUS AND TORUS MANDIBULARIS: A LITERATURE REVIEW UPDATE." Journal of Health and Translational Medicine sp2023, no. 1 (June 6, 2023): 247–54. http://dx.doi.org/10.22452/jummec.sp2023no1.26.

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Torus palatinus and torus mandibularis are common localised bony overgrowths of cortical bone, which are non-pathological. As tori have been widely discovered for ages, there are some new findings in the 21st century. This review aims to summarise the aspect of aetiology, sociodemographic features, clinical features, treatments and functions of tori. A search was performed in PubMed and Google Scholar databases from 1950 until 2022. From the total of 4,150 studies evaluated, 61 articles were included in this review. The aetiology of tori has shown that Y chromosomes and some signal factors (Notch3, SMAD9, LRP5 V171) may affect its occurrence. The prevalence among people of East Asian is higher than among West African heritage, and the age range is 20-50 years old. Clinical features of tori are represented by size, shape and location, and sometimes by symptoms. Patients who need the removal of tori are treated by surgical removal using burs/bone chisel and mallet/peeling it with Er:YAG laser/piezoelectric surgery, plus postoperative anti-inflammatory drugs, which give a good healing effect. In addition, tori can be used as an autogenous bone graft to repair periodontitis bone defects in maxillary sinus lift cases and to increase bone thickness for dental implants. Tori can also be a marker for hyperparathyroidism and bioarcheological investigation. In conclusion, updates on these aspects have been found. However, complex aetiology needs to be further confirmed. Moreover, treatment is worth tracking, and its function as autologous bone deserves to be studied in other body parts.
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45

Donmez, Orhan. "Angular velocity perturbations inducing the Papaloizou–Pringle instability and QPOs in the torus around the black hole." Modern Physics Letters A 32, no. 20 (June 13, 2017): 1750108. http://dx.doi.org/10.1142/s0217732317501085.

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In this paper, a numerical study of the dynamic of the non-self-gravitating, unmagnetized, non-axisymmetric, and rotating the torus around the non-rotating black hole is presented. We investigate the instability of the rotating torus subject to perturbations presented by increasing or decreasing the angular velocity of the stable torus. We have done, for the first time, an extensive analysis of the torus dynamic response to the perturbation of the angular velocity of the stable torus. We show how the high, moderate, and low values of the perturbations affect the torus dynamic and help us to understand the properties of the instability and quasi-periodic oscillation (QPO). Our numerical simulations indicate the presence of Papaloizou–Pringle instability (PPI) with global m = 1 mode and QPOs for the moderate and lower values of the perturbations on the angular velocity of the stable torus. Furthermore, with the lower values of the perturbations, the torus can lead to a wiggling initially and then PPI is produced in it. Finally, the matter of the torus would be dissipated due to the presence of a strong torque.
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46

Dute, Roland R., and Ann E. Rushing. "Notes on Torus Development in the Wood of Osmanthus Americanus (L.) Benth. ' Hook. Ex Gray (Oleaceae)." IAWA Journal 9, no. 1 (1988): 41–51. http://dx.doi.org/10.1163/22941932-90000466.

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The development of the torus in the wood of Osmanthus americanus was investigated using transmission and scanning electron microscopy. Torus formation on either side of the pit membrane did not begin until after the development of the associated pit border was well underway. No plasmodesmata were encountered in the torus at any time during its ontogeny. Synthesis of torus material was correlated with a mass of randomly oriented microtubules and dictyosome vesicles. The two halves of the torus did not develop synchronously; deposits of torus material were evident first in the older of two adjacent cells. Selective hydrolysis of the matrix material of the margo also began fIrst on that side of the pit membrane associated with a mature tracheary element. Evidence is presented for a fibrillar as weIl as a matrix component in the torus.
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47

Cornelio Rodríguez, Georgina, Rafael Flores Suárez, and José Luis Ramírez-Arias. "Haga su diagnóstico (Fractura de Torus o rodete)." Revista de la Facultad de Medicina 62, no. 3 (May 1, 2019): 38–39. http://dx.doi.org/10.22201/fm.24484865e.2019.62.3.07.

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48

MEGSON, G. M., XIAOPING LIU, and XIAOFAN YANG. "FAULT-TOLERANT RING EMBEDDING IN A HONEYCOMB TORUS WITH NODE FAILURES." Parallel Processing Letters 09, no. 04 (December 1999): 551–61. http://dx.doi.org/10.1142/s0129626499000517.

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Honeycomb torus networks have been recognised as an attractive alternative to existing torus interconnection networks in parallel and distributed applications. In this paper we establish that there exists a hamiltonian cycle in a honeycomb torus with two adjacent faulty nodes and that with a single fault a ring embedding with one less node than the fault free torus can be found.
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49

OZAWA, MAKOTO. "Nonminimal bridge positions of torus knots are stabilized." Mathematical Proceedings of the Cambridge Philosophical Society 151, no. 2 (May 4, 2011): 307–17. http://dx.doi.org/10.1017/s0305004111000235.

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AbstractWe show that any nonminimal bridge decomposition of a torus knot is stabilized and that n-bridge decompositions of a torus knot are unique for any integer n. This implies that a knot in a bridge position is a torus knot if and only if there exists a torus containing the knot such that it intersects the bridge sphere in two essential loops.
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50

Donmez, Orhan. "Spherical-shell accretion onto the black hole–torus system." Modern Physics Letters A 30, no. 14 (April 21, 2015): 1550071. http://dx.doi.org/10.1142/s0217732315500716.

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The general relativistic hydrodynamical simulation of the spherical-shell accretion onto the stable torus around non-rotating and rotating black holes isotropically falling from a finite distance are constructed for the first time. This type of accretion might be used to explain the dynamics of the torus. The accreted matter sonically, supersonically or highly supersonically interacts with a torus and forms a newly developed dynamical structure. This spherical-shell changes the angular momentum of the torus and mediates torus instabilities which cause the termination of the torus. The impact of the rest-mass density of the perturbation is also studied which found that the high density perturbation destroys the torus in a few dynamical times. It is also found that the dumping time of the matter is much larger for the torus around a rotating black hole. On the other hand, the Papaloizou–Pringle instability from the spherical-shell accretion appears to be much more softer than the former perturbations which are called the Bondi–Hoyle accretion and accretion of the bulk of gas. The Papaloizou–Pringle instability is damped in a short time scale immediately after their formation.
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