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Relevant bibliographies by topics / Double-Torus

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Academic literature on the topic 'Double-Torus'

Author: Grafiati

Published: 4 June 2021

Last updated: 6 September 2023

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Journal articles on the topic "Double-Torus"

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Hajac, Piotr M., and Tetsuya Masuda. "Quantum double-torus." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 327, no. 6 (September 1998): 553–58. http://dx.doi.org/10.1016/s0764-4442(98)89162-3.

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OZAWA, MAKOTO. "SATELLITE DOUBLE TORUS KNOTS." Journal of Knot Theory and Its Ramifications 10, no. 01 (February 2001): 133–42. http://dx.doi.org/10.1142/s0218216501000779.

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We characterize satellite double torus knots. Especially, if a satellite double torus knot is not a cable knot, then it has a torus knot companion. This answers Question 12 (a) raised by Hill and Murasugi in [4].

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Hayashi, Chuichiro. "Trivial Double-Torus Knot." Journal of Knot Theory and Its Ramifications 12, no. 05 (August 2003): 579–88. http://dx.doi.org/10.1142/s0218216503002652.

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A knot K in a closed connected orientable 3-manifold M is called a double-torus knot, if it is in a genus two Heegaard splitting surface H of M. We give a necessary and sufficient condition for a double-torus knot to be the trivial knot in words of meridian disks of genus two handlebodies obtained by splitting M along H.

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OZAWA, MAKOTO. "TANGLE DECOMPOSITIONS OF DOUBLE TORUS KNOTS AND LINKS." Journal of Knot Theory and Its Ramifications 08, no. 07 (November 1999): 931–39. http://dx.doi.org/10.1142/s0218216599000584.

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HILL, PETER, and KUNIO MURASUGI. "ON DOUBLE-TORUS KNOTS (II)." Journal of Knot Theory and Its Ramifications 09, no. 05 (August 2000): 617–67. http://dx.doi.org/10.1142/s0218216500000359.

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A double-torus knot is a knot embedded in a genus two Heegaard surface [Formula: see text] in S3. We consider double-torus knots L such that [Formula: see text] is connected, and consider fibred knots in various classes.

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NORWOOD, RICK. "TURNING DOUBLE-TORUS LINKS INSIDE OUT." Journal of Knot Theory and Its Ramifications 08, no. 06 (September 1999): 789–98. http://dx.doi.org/10.1142/s0218216599000493.

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HILL, PETER. "ON DOUBLE-TORUS KNOTS (I)." Journal of Knot Theory and Its Ramifications 08, no. 08 (December 1999): 1009–48. http://dx.doi.org/10.1142/s0218216599000651.

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A double-torus knot is knot embedded in a genus two Heegaard surface [Formula: see text] in S3. After giving a notation for these knots, we consider double-torus knots L such that [Formula: see text] is not connected, and give a criterion for such knots to be non-trivial. Various new types of non-trivial knots with trivial Alexander polynomial are found.

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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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Álvarez, Miguel Carrión, Joseph Corneli, Genevieve Walsh, and Shabnam Beheshti. "Double Bubbles in the Three-Torus." Experimental Mathematics 12, no. 1 (January 2003): 79–89. http://dx.doi.org/10.1080/10586458.2003.10504713.

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Gillard, Mike, and Paul Sutcliffe. "Domain walls and double bubbles." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, no. 2109 (July 8, 2009): 2911–25. http://dx.doi.org/10.1098/rspa.2009.0227.

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We study configurations of intersecting domain walls in a Wess–Zumino model with three vacua. We introduce a volume-preserving flow and show that its static solutions are configurations of intersecting domain walls that form double bubbles, that is, minimal area surfaces which enclose and separate two prescribed volumes. To illustrate this field theory approach to double bubbles, we use domain walls to reconstruct the phase diagram for double bubbles in the flat square two-torus and also construct all known examples of double bubbles in the flat cubic three-torus.

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Dissertations / Theses on the topic "Double-Torus"

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Hill, Peter Clifford. "On double-torus knots." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0011/NQ35186.pdf.

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Barker, Stephen J. "Interchanging Two Notations for Double-torus Links." Digital Commons @ East Tennessee State University, 2016. https://dc.etsu.edu/etd/2616.

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Knot theory is a relatively young branch of mathematics, still less than a century old. The development of the Jones polynomial in 1984 led to increased activity in knot theory. Though work is constantly being done in this ﬁeld, notably the classiﬁcation of torus knots, double-torus knots are still lacking such a complete understanding. There exists two notations, those of Rick Norwood and of Peter Hill, that describe knots on the double-torus. The ambition of this thesis is to begin to make the case that it is possible to render these two notations interchangeable. Illustrating this will require examining the two notations and ﬁnding a way to change one into the other, then check if this process is reversible. If not, then proceed to develop a method that works to convert the second notation back to the ﬁrst.

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Frazao, Sosa Jose Ignacio. "Design, implementation, building and evaluation of a Torus Double Transitive Closure Network of Transputers." Thesis, Monterey, California. Naval Postgraduate School, 1988. http://hdl.handle.net/10945/23159.

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Currently the design of highly parallel supercomputers is one of the most challenging problems in engineering. The purpose of this thesis is to describe how the problem was approached in the design, implementation and building of a Torus Double Transitive Closure Network of Microprocessors, using the T414 Transputer as the basic Unit of Computation. Also compares the performance of the evolved model, from one Transputer to the final stage of sixteen Transputers running in parallel. All the programs and examples presented in this thesis were implemented in the OCCAM2 Programming Language, using the Transputer Development System, D700c, BETA 2.0 release March 1987 compiler version. Keywords: Theses, Transputer, Parallel processing, Microprocessor networks, OCCAM Programming language, Heat flow in a plate. (rh)

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Upadhyay, Ashish Kumar. "Degree-Regular Triangulations Of The Torus, The Klein Bottle And The Double-Torus." Thesis, 2005. https://etd.iisc.ac.in/handle/2005/1450.

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Upadhyay, Ashish Kumar. "Degree-Regular Triangulations Of The Torus, The Klein Bottle And The Double-Torus." Thesis, 2005. http://etd.iisc.ernet.in/handle/2005/1450.

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Ho, Tung-Yang, and 何東洋. "Double Euler trails, transmitting Problem, and Projective Torus Networks." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/36760404427907907043.

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博士
國立交通大學
資訊科學學系
84
There are three problems, the recognition of double Euler trails in series-parallel networks, transmitting on various network topologies and projective torus networks, which are discussed in the thesis. Recognition of double Euler trails in series-parallel networks is an important problem in CMOS layout. Finding a double Euler trails in a network is essential for optimizing the layout area of a complementary CMOS functional cell. In interconnection networks, there are several different schemes to broadcast a message from the host computer. Transmitting scheme is one of these schemes. We will discuss the transmitting scheme on various network topologies. We also propose a topology for interconnection networks, called projective torus, arising edge fault tolerance concern for tori.

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MAREČEK, Ondřej. "Použití Riemannova integrálu k výpočtu matematicko-fyzikálních úloh." Master's thesis, 2008. http://www.nusl.cz/ntk/nusl-46401.

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The theoretical part of the thesis includes introduction of Riemann integral and its qualities, introduction of function of more variables, introduction of double and triple Riemann integral and physical applications of integral. The practical part includes derivation of general area formulas for different shapes and volume formulas for different solids, in some examples there are shown different ways of solution. The practical part also includes the use of Riemann integral for the determination of centre of mass, of statical moments and moments of inertia of objects.

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Books on the topic "Double-Torus"

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Hill, Peter Clifford. On double-Torus knots. Toronto: University of Toronto, 1998.

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Sosa, Jose Ignacio Frazao. Design, implementation, building and evaluation of a Torus Double Transitive Closure Network of Transputers. Monterey, California: Naval Postgraduate School, 1988.

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Book chapters on the topic "Double-Torus"

1

Rastogi, Vikas, Sanjay H. Upadhyay, Sammir Sakhare, and Kripa S. Singh. "Rigidization Mechanism for Double-Layered Inflatable Circular Torus Structure." In Lecture Notes in Mechanical Engineering, 439–47. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3716-3_35.

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Oh, Eunseuk, Hongsik Choi, and Jong-Seok Kim. "Double-Link Failure Recovery in WDM Optical Torus Networks." In Lecture Notes in Computer Science, 708–17. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-25978-7_71.

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Conference papers on the topic "Double-Torus"

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Berg, Bernd A., Alexei Bazavov, and Hao Wu. "Deconfining phase transition on a double-layered torus." In The XXVII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0164.

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Dai, Li, Ye Su, and Yiyuan Xie. "A novel torus-based optical networks-on-chip exploiting double path communication algorithm." In Second International Conference on Electronic Information Engineering, Big Data, and Computer Technology (EIBDCT 2023), edited by Xiangjie Kong. SPIE, 2023. http://dx.doi.org/10.1117/12.2674780.

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Hofer, Andrea, Nina Paulitsch, and Fabrice Giuliani. "Flow Design Using CFD for a Constant-Section Recursive Sequential Combustor." In ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/gt2022-82420.

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Abstract The project MOeBIUS stands for MOmentum-Enhanced Blend of the reactants with recIrculated bUrnt gaseS. It is a new combustion concept based on the principle of recursive sequential combustion (RSC), as described in paper GT2021-59592. The aim is to assert the feasibility of a recursive sequential combustor using CFD simulations and to evaluate the most promising flow design for a 3D printed prototype. This paper focuses on the latest developments of the variant called constant section, with a short overview of the geometry’s design iterations. Based on previous simulation results the combustion chamber is torus-shaped with a double-spiral-like cross section. The simulated domain covers a sector of the torus, with interpolated results to augment the data points. Two air inlets and one fuel inlet (currently modelled with Methane) feed the combustion chamber to create a stable, lean, and continuous flame. Flue gas is partly fed back into the combustion process, this recirculation increases lean combustion robustness and decreases the amount of generated nitrogen oxides. The circular combustion chamber and guiding vanes in the in- an outlet pipes generate a flow dynamic that combines a swirling motion necessary to stabilise the flame to a flow circulation along the torus. This flow pattern is driven by the elevated momentum flux at the injection. The air outlet is designed to enforce interaction between outgoing burnt gasses and fresh inlets while facilitating the split of a fraction of the flue gas that follows the torus’ curvature. The simulations confirm the presence of a large swirl in the chambers section, as well as the maintenance of a circulation in the toroidal direction, which is essential to the concept. This is in good agreement with the desired flow design, and the constant section concept is therefore feasible and valid. Ongoing simulations implying fine-tuning of the parameters are carried out in 3D to ensure stable combustion behaviour and meet expectations in terms of functionality.

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AKINCI, Ruya, and Mehmet POLAT. "Design and Optimization with Genetic Algorithm of Double Rotor Axial Flux Permanent Magnet Synchronous Motor (TORUS Type) for Electrical Vehicles." In 2019 4th International Conference on Power Electronics and their Applications (ICPEA). IEEE, 2019. http://dx.doi.org/10.1109/icpea1.2019.8911175.

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Nakahira, M., N. Takeda, K. Hada, E. Tada, K. Miya, and Y. Asada. "Main Features of ITER Vacuum Vessel and Approach to Code Application." In 10th International Conference on Nuclear Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/icone10-22675.

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The ITER Vacuum Vessel (VV) is a complex torus-shaped configuration with a double-walled structure and the main function is to provide a high degree of vacuum for DT operation and form an enclosure for containing radioactive materials. Such structural uniqueness requires quite different technologies and implementations from the existing plant, so that technical rules are to be evolved on design, fabrication and examination for assuring its structural reliability. A new code concept, namely system-based code for integrity, has been developed so as to optimize the total reliability to be attained for ITER operation, considering unique structural features and safety attractiveness. This paper describes structural features of the ITER VV from code standpoint and basic approach to code application, together with on-going research activities for supporting the code development.

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Ahn, H. J., B. C. Kim, J. W. Sa, Y. J. Lee, K. H. Hong, H. S. Kim, J. S. Bak, et al. "Fabrication Design and Code Requirements for the ITER Vacuum Vessel." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-57143.

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The ITER vacuum vessel (VV) is a double walled torus structure and one of the most critical components in the fusion reactor. The design and fabrication of the VV as nuclear equipment shall be consisted with the RCC-MR code based on French fast breeder reactor. The VV is a heavy welded structure with 60 mm thick shells, 40 mm ribs and flexible housing of 275 mm diameter. The welding distortion should be controlled since the total welding length is over 1500 m. To satisfy the design requirement, the electron beam welding (EBW) and narrow gap gas tungsten arc welding (GTAW) techniques are to be applied and developed through the fabrication of mock-ups. The fabrication design has been developed to manufacture the main vessel and port structures in accordance with the RCC-MR code. All fabrication sequences including welding methods are also established to meet the demanding tolerance and inspection requirement by HHI as a supplier.

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Giuliani, Fabrice, Nina Paulitsch, and Andrea Hofer. "Recursive Sequential Combustion: A Concept Study About a Momentum-Enhanced Blend of the Reactants With Recirculated Burnt Gases." In ASME Turbo Expo 2021: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/gt2021-59592.

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Abstract Over the last decade, new concepts have evolved to promote a significant azimuthal flow in annular combustors of gas turbines. The benefits are better flame propagation at ignition, positive flame-flame interaction, and better interaction with the burnt gases. Other advantages in terms of size, congestion and conditioning of the turbine inlet flow are also significant. The technical challenges reported by the literature are often related to the higher thermal stress of the flames on the walls compared to a conventional frame. Other sources of inspiration for this work are the principles of burnt gas recirculation, sequential combustion and flameless combustion. This contribution focuses on a novel tangential burner arrangement inspired by the previous references. It offers a synthesis of key features and properties of the latter and goes even further. Here, a significant part of the burnt gases produced by one burner intentionally enters the inlet of the next burner, and so on along the azimuthal direction. This takes advantage of the closed loop aspect of an annular combustor when considering the toroidal direction. It also proposes a solution to the thermal load problem. We named this principle Recursive Sequential Combustion (RSC). While the flame alignment is organised along the generatrix of the combustor’s annulus, one difficulty lies in the design of the lateral feeds of reactants and the lateral exit of the exhaust gases. A double-spiral combustor design is proposed, which has similarities with the Swiss Roll Combustor concept. It directs the flow in the toroidal direction, as well as it creates the favourable conditions for a dynamically stabilised premixed flame centred along the torus’ generatrix at some distance from the walls. This design maximises the interaction between the fresh reactants and the burnt gases. The technical challenge is to find the right balance in terms of momentum flux of the incoming and outgoing flows to keep the flame in the middle of the torus. If this concept is successful, a lean flame could be operated with an unmatched trade-off between stability, flexibility and low-emissions (including soot). The paper reports about the RSC concept, the design, and the early results.

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