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Relevant bibliographies by topics / At n- dimensional torus

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Academic literature on the topic 'At n- dimensional torus'

Author: Grafiati

Published: 5 June 2025

Last updated: 24 June 2025

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Journal articles on the topic "At n- dimensional torus"

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Miller, David. "Noncharacteristic Embeddings of the n-Dimensional Torus in the (n + 2)-Dimensional Torus." Transactions of the American Mathematical Society 342, no. 1 (1994): 215. http://dx.doi.org/10.2307/2154691.

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Miller, David. "Noncharacteristic embeddings of the $n$-dimensional torus in the $(n+2)$-dimensional torus." Transactions of the American Mathematical Society 342, no. 1 (1994): 215–40. http://dx.doi.org/10.1090/s0002-9947-1994-1179398-7.

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Andujar-Munoz, Francisco J., Juan A. Villar-Ortiz, Jose L. Sanchez, Francisco Jose Alfaro, and Jose Duato. "N-Dimensional Twin Torus Topology." IEEE Transactions on Computers 64, no. 10 (2015): 2847–61. http://dx.doi.org/10.1109/tc.2014.2378267.

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Baladi, V., D. Rockmore, N. Tongring, and C. Tresser. "Renormalization on the n-dimensional torus." Nonlinearity 5, no. 5 (1992): 1111–36. http://dx.doi.org/10.1088/0951-7715/5/5/005.

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Hu, Xiaomin, Yingzhi Tian, Xiaodong Liang, and Jixiang Meng. "Matching preclusion for n -dimensional torus networks." Theoretical Computer Science 687 (July 2017): 40–47. http://dx.doi.org/10.1016/j.tcs.2017.05.002.

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Li, Jing, Yuxing Yang, and Xiaohui Gao. "Hamiltonicity of the Torus Network Under the Conditional Fault Model." International Journal of Foundations of Computer Science 28, no. 03 (2017): 211–27. http://dx.doi.org/10.1142/s0129054117500149.

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Low-dimensional Tori are regularly used as interconnection networks in distributed-memory parallel computers. This paper investigates the fault-Hamiltonicity of two-dimensional Tori. A sufficient condition is derived for the graph Row-Torus(m, 2n + 1) with two faulty edges to have a Hamiltonian cycle, where m ≥ 3 and n ≥ 1. By applying the fault-Hamiltonicity of Row-Torus to a two-dimensional torus, we show that Torus(m, n), m, n ≥ 5, with at most four faulty edges is Hamiltonian if the following two conditions are satisfied: (1) the degree of every vertex is at least two, and (2) there do not exist a pair of nonadjacent vertices in a 4-cycle whose degrees are both two after faulty edges are removed.

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DE MARCO, GIANLUCA, and ADELE A. RESCIGNO. "TIGHTER TIME BOUNDS ON BROADCASTING IN TORUS NETWORKS IN PRESENCE OF DYNAMIC FAULTS." Parallel Processing Letters 10, no. 01 (2000): 39–49. http://dx.doi.org/10.1142/s0129626400000068.

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We consider the problem of broadcasting in a network G under the hypothesis that each vertex can inform in one unit of time all of its neighbours and that any number of message transmissions, less than the edge-connectivity of G, may fail during each time unit. In particular, we study broadcasting in the n-dimensional k-ary torus, a popular topology for link connections in communication networks. We prove that under the above strong fault-assumption, if k is even and polynomially limited in n, and n is sufficient large, broadcasting in the n-dimensional k-ary torus can be accomplished in time [Formula: see text], where [Formula: see text] is the diameter of the n-dimensional k-ary torus.

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Hu, Xiaomin, Yingzhi Tian, Xiaodong Liang, and Jixiang Meng. "Strong matching preclusion for n-dimensional torus networks." Theoretical Computer Science 635 (July 2016): 64–73. http://dx.doi.org/10.1016/j.tcs.2016.05.008.

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Neeb, Karl-Hermann. "On the Classification of Rational Quantum Tori and the Structure of Their Automorphism Groups." Canadian Mathematical Bulletin 51, no. 2 (2008): 261–82. http://dx.doi.org/10.4153/cmb-2008-027-7.

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AbstractAn n-dimensional quantum torus is a twisted group algebra of the group ℤn. It is called rational if all invertible commutators are roots of unity. In the present note we describe a normal form for rational n-dimensional quantum tori over any field. Moreover, we show that for n = 2 the natural exact sequence describing the automorphism group of the quantum torus splits over any field.

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Rieffel, Marc A. "Projective Modules over Higher-Dimensional Non-Commutative Tori." Canadian Journal of Mathematics 40, no. 2 (1988): 257–338. http://dx.doi.org/10.4153/cjm-1988-012-9.

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The non-commutative tori provide probably the most accessible interesting examples of non-commutative differentiable manifolds. We can identify an ordinary n-torus Tn with its algebra, C(Tn), of continuous complex-valued functions under pointwise multiplication. But C(Tn) is the universal C*-algebra generated by n commuting unitary operators. By definition, [15, 16, 50], a non-commutative n-torus is the universal C*-algebra generated by n unitary operators which, while they need not commute, have as multiplicative commutators various fixed scalar multiples of the identity operator. As Connes has shown [8, 10], these algebras have a natural differentiable structure, defined by a natural ergodic action of Tn as a group of automorphisms. The non-commutative tori behave in inany ways like ordinary tori. For instance, it is an almost immediate consequence of the work of Pimsner and Voiculescu [37] that the K-groups of a non-commutative torus are the same as those of an ordinary torus of the same dimension. (In particular, non-commutative tori are KK-equivalent to ordinary tori by Corollary 7.5 of [52].) Furthermore, the structure constants of non-commutative tori can be continuously deformed into those for ordinary tori. (This is exploited in [17].)

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Dissertations / Theses on the topic "At n- dimensional torus"

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Barbos, Aneta E. [Verfasser]. "Energy decay law in n-dimensional Gowdy spacetimes with torus topology / Aneta Barbos." Berlin : Freie Universität Berlin, 2010. http://d-nb.info/102508800X/34.

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Figueiredo, Lilyane Gonzaga. "Reticulados em toros euclidianos n-dimensionais e em g-toros planos hiperbólicos." Universidade Federal de Uberlândia, 2011. https://repositorio.ufu.br/handle/123456789/16790.

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In this dissertation we study lattices in quotient spaces. The basic quotient spaces are: (1) n-dimensional euclidean tori, obtained from quotient of Rn by discrete groups of isometries ge- nerated by linearly independent translations and (2) hyperbolic °at g-tori (tori of genus g ¸ 2), obtained from quotient of hyperbolic plane by fuchsian groups. In the euclidean environment, the considered lattices are provided of the additive group Z2; while in the hyperbolic case the studied lattices are the geometrically uniform and the cyclic ones.<br>Neste trabalho estudamos reticulados em espaços quocientes. Os espaços quocientes considerados foram: (1) toros euclidianos n-dimensionais, obtidos pelo quociente de Rn por grupos discretos de isometrias gerados por translações linearmente independentes e (2) g-toros planos hiperbólicos (g ¸ 2) ; obtidos pelo quociente do plano hiperbólico por grupos fuchsianos. No caso euclidiano, os reticulados considerados foram provenientes de Z2; enquanto que no caso hiperbólico os reticulados estudados foram os geometricamente uniformes e os cíclicos.<br>Mestre em Matemática

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Yamamoto, Yasuhiro. "Studies of Toroidal Flows Driven by Electron Cyclotron Heating in Three-Dimensional Torus Plasmas." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/263655.

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McKee, David Wesley. "n-Dimensional prediction of RT-SOA QoS." Thesis, University of Leeds, 2017. http://etheses.whiterose.ac.uk/18658/.

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Service-Orientation has long provided an effective mechanism to integrate heterogeneous systems in a loosely coupled fashion as services. However, with the emergence of Internet of Things (IoT) there is a growing need to facilitate the integration of real-time services executing in non-controlled, non-real-time, environments such as the Cloud. As such there has been a drive in recent years to develop mechanisms for deriving reliable Quality of Service (QoS) definitions based on the observed performance of services, specifically in order to facilitate a Real-Time Quality of Service (RT-QoS) definition. Due to the overriding challenge in achieving this is the lack of control over the hosting Cloud system many approaches either look at alternative methods that ignore the underlying infrastructure or assume some level of control over interference such as the provision of a Real-Time Operating System (RTOS). There is therefore a major research challenge to find methods that facilitate RT-QoS in environments that do not provide the level of control over interference that is traditionally required for real-time systems. This thesis presents a comprehensive review and analysis of existing QoS and RT-QoS techniques. The techniques are classified into seven categories and the most significant approaches are tested for their ability to provide QoS definitions that are not susceptible to dynamic changing levels of interference. This work then proposes a new n-dimensional framework that models the relationship between resource utilisation, resource availability on host servers, and the response-times of services. The framework is combined with real-time schedulability tests to dynamically provide guarantees on response-times for ranges of resource availabilities and identifies when those conditions are no longer suitable. The proposed framework is compared against the existing techniques using simulation and then evaluated in the domain of Cloud computing where the approach demonstrates an average overallocation of 12%, and provides alerts across 94% of QoS violations within the first 14% of execution progress.

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Saeed, Muhammad Saqib. "A Mechanism for Representing N-Dimensional Software Process Models in One-Dimensional Documents." Thesis, Blekinge Tekniska Högskola, Avdelningen för programvarusystem, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-3238.

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Current software process modeling tools lack the capabilities of generating word processing documents that can represent model semantics in a computer process-able and human understandable way. This results into inefficient use of word processors for editing and reviewing a model’s textual data. In an attempt to resolve this problem, this thesis presents an approach for representing software process models in word processing documents. The development of the approach is based on a set of issues that can hinder the generation of human understandable and computer process-able documents from software process models. The approach is validated through its implementation for a software process modeling tool. The implementation allows for the generation of word processing documents from software process models and their re-import into the process modeling tool.<br>Email: msaqibsaeed@hotmail.com

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Elliott, Joshua Wright 1980. "Three dimensional N = 2 supersymmetry on the lattice." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=97947.

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We show how 3-dimensional, N=2 supersymmetric theories, including super QCD with matter fields, can be put on the lattice with existing techniques, in a way which will recover supersymmetry in the small lattice spacing limit, with O(a) lattice spacing suppressed SUSY breaking effects.

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Khorsravi, Mehrdad. "Some N-Dimensional analytic geometry : angles and more." Honors in the Major Thesis, University of Central Florida, 2002. http://digital.library.ucf.edu/cdm/ref/collection/ETH/id/281.

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This item is only available in print in the UCF Libraries. If this is your Honors Thesis, you can help us make it available online for use by researchers around the world by following the instructions on the distribution consent form at http://library.ucf.edu/Systems/DigitalInitiatives/DigitalCollections/InternetDistributionConsentAgreementForm.pdf You may also contact the project coordinator, Kerri Bottorff, at kerri.bottorff@ucf.edu for more information.<br>Bachelors<br>Arts and Sciences<br>Mathematics

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Santos, Jonas Deyson Brito dos. "RenderizaÃÃo com amostragem adaptativa no domÃnio N-dimensional." Universidade Federal do CearÃ, 2013. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=9642.

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CoordenaÃÃo de AperfeiÃoamento de NÃvel Superior<br>Este trabalho propÃe melhorias em uma tÃcnica de amostragem adaptativa multidimensional para renderizaÃÃo. RenderizaÃÃo Ã o processo de sÃntese de imagens por meio de algoritmos que simulam a iluminaÃÃo em cenÃrios virtuais. As tÃcnicas mais gerais de renderizaÃÃo fotorrealÃstica â aquelas que procuram obter imagens que se assemelham a fotografias â utilizam mÃtodos de integraÃÃo baseados em Monte Carlo para resolver a equaÃÃo que descreve a distribuiÃÃo de luz na cena (equaÃÃo de renderizaÃÃo). Por ser um mÃtodo probabilÃstico e utilizar amostras geradas randomicamente, Monte Carlo produz ruÃdo na imagem final â resultado da variÃncia das amostras â e portanto, pode necessitar de uma grande quantidade de amostras para que o ruÃdo diminua a nÃveis aceitÃveis. Com o intuito de se obter imagens de melhor qualidade com uma menor quantidade de amostras, foram pospostas tÃcnicas de amostragem adaptativa que visam concentrar o esforÃo de amostragem em regiÃes mais importantes da cena. Neste trabalho, propÃe-se a modificaÃÃo de uma tÃcnica de amostragem adaptativa multidimensional por meio da adiÃÃo de duas etapas: substituiÃÃo de amostras e integraÃÃo auxiliar. Essas etapas visam dar mais robustez Ã tÃcnica, possibilitando sua utilizaÃÃo em uma maior variedade de situaÃÃes. AlÃm da adiÃÃo de duas etapas, tambÃm propÃe-se uma tÃcnica de reconstruÃÃo mais eficiente na etapa final.<br>This work proposes improvements in a multidimensional adaptive sampling technique for rendering. Rendering is the process of synthesizing images by algorithms simulating lighting in virtual scenes. The more general techniques of photorealistic rendering â those seeking images that resemble photographs â use integration methods based on Monte Carlo to solve the equation that describes the distribution of light in the scene (rendering equation). Being a probabilistic method which uses randomly generated samples, Monte Carlo produces noise in the final image â result of samplesâ variance â and therefore may require a large amount of samples to reduce the noise to acceptable levels. To obtain images of better quality with a lower number of samples, adaptive sampling techniques were proposed, concentrating sampling effort in the most important regions. In this work, we propose the addition of two steps to a multidimensional adaptive sampling technique: substitution of samples and auxiliary integration. These steps aim to give more strength to the technique, enabling their use in a wider variety of situations.

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Chongburee, Wachira. "Digital Transmission by Hermite N-Dimensional Antipodal Scheme." Diss., Virginia Tech, 2004. http://hdl.handle.net/10919/11110.

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A new N-dimensional digital modulation technique is proposed as a bandwidth efficient method for the transmission of digital data. The technique uses an antipodal scheme in which parallel binary data signs baseband orthogonal waveforms derived from Hermite polynomials. Orthogonality guarantees recoverability of the data from N simultaneously transmitted Hermite waveforms. The signed Hermite waveform is transmitted over a radio link using either amplitude or frequency modulation. The bandwidth efficiency of the amplitude Hermite method is found to be as good as filtered BPSK in practice, while the bit error rates for both modulations are identical. Hermite Keying (HK), the FM modulation version of the N-dimensional Hermite transmission, outperforms constant envelope FSK in terms of spectrum efficiency. With a simple FM detector, the bit error rate of HK is as good as that of non-coherent FSK. In a frequency selective fading channel, the simulation results suggest that specific data bits of HK are relatively secure from errors, which is beneficial in some applications. Symbol synchronization is critical to the system. An optimal synchronization method for the N-dimensional antipodal scheme in additive white Gaussian noise channel is derived. Simulation results confirm that the synchronizer can operate successfully at E/No of 3 dB.<br>Ph. D.

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Bicho, Luís Manuel Balsa. "Existence of minimizers for n-dimensional nonconvex integrals." Doctoral thesis, Universidade de Évora, 2013. http://hdl.handle.net/10174/15228.

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Primeiro demonstra-se a existência de minimizantes para o integral múltiplo ∫ Ω ℓ∗∗ ( u (x) , ρ1 (x, u(x))∇u (x) ) ρ2 (x, u(x)) d x on W 1;1 u@ (Ω) , onde Ω ⊂ Rd é aberto e limitado, u : Ω → R pertence ao espaço de Sobolev u@ (·) + W1;1 0 (Ω), u@ (·) ∈ W1;1 (Ω) ∩ C0 ( Ω ) ; ℓ : R×Rd → [0,∞] é superlinear L⊗B−mensurável, ρ1(·, ·), ρ2(·, ·) ∈ C0 (Ω×R) ambos > 0 e ℓ∗∗(·, ·) é apenas sci em (·, 0). Também se considera o caso ∫ Ω L∗∗ (x, u(x),∇u(x) ), embora com hipóteses mais complexas, mas é igualmente possível ter L(x, ·, ξ) não-sci para ξ ̸= 0; Por último demonstra-se a existência de minimizantes radialmente simétricos, i.e. uA(x) = UA ( |x| ), uniformemente contínous para o integral múltiplo ∫ BR L∗∗ ( u(x), |Du(x) | ) d x na bola BR ⊂ Rd, u : Ω → Rm pertence ao espaço de Sobolev A + W1;1 0 (BR, Rm ), L∗∗ : Rm×R → [0,∞] é convexa, sci e superlinear, L∗∗ ( S, · ) é par; note-se também que enquanto no caso escalar, m = 1, apenas necessitamos de mais uma hipótese : ∃ min L∗∗ (R, 0 ), no caso vectorial, m > 1, L∗∗ (·, ·) também tem de satisfazer uma restrição geométrica, a qual chamamos quasi − escalar; sendo o exemplo mais simples de uma função quasi − escalar o caso biradial L∗∗ ( | u(x) | , |Du(x) | ); ABSTRACT: First it is proved the existence of minimizers for the multiple integral ∫ Ω ℓ∗∗ ( u (x) , ρ1 (x, u(x))∇u (x) ) ρ2 (x, u(x)) d x on W 1;1 u@ (Ω) , where Ω ⊂ Rd is open bounded, u : Ω → R is in the Sobolev space u@ (·) + W1;1 0 (Ω), with boundary data u@ (·) ∈ W1;1 (Ω) ∩ C0 ( Ω ) ; and ℓ : R×Rd → [0,∞] is superlinear L⊗B − measurable with ρ1(·, ·), ρ2(·, ·) ∈ C0 (Ω×R) both > 0 and ℓ∗∗(∫ ·, ·) only has to be lsc at (·, 0). The case Ω L∗∗ (x, u(x),∇u(x) ) is also treated, though with less natural hypotheses, but still allowing L(x, ·, ξ) non − lsc for ξ ̸= 0; Lastly it is proved the existence of uniformly continuous radially symmetric minimizers uA(x) = UA ( |x| ) for the multiple integral ∫ BR L∗∗ ( u(x), |Du(x) | ) d x on a ball BR ⊂ Rd, among the vector Sobolev functions u(·) in A + W1;1 0 (BR, Rm ), using a convex lsc L∗∗ : Rm×R → [0,∞] with L∗∗ ( S, · ) even and superlinear; but while in the scalar m = 1 case we only need one more hypothesis : ∃ min L∗∗ (R, 0 ), in the vectorial m > 1 case L∗∗ (·, ·) also has to satisfy a geometric constraint, which we call quasi − scalar; the simplest example being the biradial case L∗∗ ( | u(x) | , |Du(x) | ).

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Books on the topic "At n- dimensional torus"

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Ohmori, Kantaro. Six-Dimensional Superconformal Field Theories and Their Torus Compactifications. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3092-6.

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Gregson, R. A. M. 1928-, ed. N-dimensional nonlinear psychophysics. L. Erlbaum Associates, 1992.

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author, Bolle Philippe, ed. Quasi-periodic solutions of nonlinear wave equations in the D-dimensional torus. European Mathematical Society, 2020.

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Lawson, C. L. Some properties of n-dimensional triangulations. Jet Propulsion Laboratory California Institute ofTechnology, 1985.

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Pettersson, Kerstin. Strong n-generators in some one-dimensional domains. Univ., 1998.

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P, Banks Stephen. On the inversion of the n-dimensional Laplace transform. University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1992.

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Diacu, Florin. Relative equilibria in the 3-dimensional curved n-body problem. American Mathematical Society, 2013.

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Havel, K. N bodies--no problem: Unrestricted two and three dimensional solutions. Grevyt Press, 2005.

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Banks, Stephen P. Existence of periodic solutions in n-dimensional retarded functional differential equations. University of Sheffield, Dept. of Control Engineering, 1987.

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Odling, Noelle E. Structural analysis and three-dimensional modelling at Gamsberg, N. W. Cape. Dept. of Geology, University of Cape Town, 1987.

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Book chapters on the topic "At n- dimensional torus"

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Duato, Jose, and Pedero Lopez. "Highly adaptive wormhole routing algorithms for n-dimensional torus." In DIMACS Series in Discrete Mathematics and Theoretical Computer Science. American Mathematical Society, 1995. http://dx.doi.org/10.1090/dimacs/021/08.

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Ohmori, Kantaro. "Circle and Torus Compactifications." In Six-Dimensional Superconformal Field Theories and Their Torus Compactifications. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3092-6_3.

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Lizzi, Fedele, and Alexandr Pinzul. "Dimensional Deception for the Noncommutative Torus." In Springer Proceedings in Physics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-24748-5_13.

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Zhunussova, Zhanat. "Two-Dimensional Dispersed Composites on a Square Torus." In Trends in Mathematics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-42539-4_34.

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Delmas, Olivier, and Stéphane Perennes. "Circuit-switched gossiping in 3-dimensional torus networks." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/3-540-61626-8_48.

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Shapiro, Victor L. "Quasilinear Ellipticity on the N-Torus." In Nonlinear and Convex Analysis. CRC Press, 2023. http://dx.doi.org/10.1201/9781003420040-17.

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Ohmori, Kantaro. "Six-Dimensional Superconformal Field Theories." In Six-Dimensional Superconformal Field Theories and Their Torus Compactifications. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3092-6_2.

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Vorobjev, Yuri. "Riccati Equation Over Torus and Semiclassical Quantization of Multiperiodic Motion." In Quantization and Infinite-Dimensional Systems. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4615-2564-6_23.

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Bendikov, Alexander D., and Igor V. Pavlov. "On the Poisson Equation on the Infinite Dimensional Torus." In Potential Theory. Springer US, 1988. http://dx.doi.org/10.1007/978-1-4613-0981-9_4.

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Bourbaki, Nicolas. "N Dimensional Spaces." In Elements of the History of Mathematics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-61693-8_14.

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Conference papers on the topic "At n- dimensional torus"

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Chakravarthy, Animesh, and Debasish Ghose. "Steering Opinions over n-Dimensional Spherical Manifolds." In 2024 IEEE 63rd Conference on Decision and Control (CDC). IEEE, 2024. https://doi.org/10.1109/cdc56724.2024.10886840.

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Zhu, Kangqi, Nan Hua, and Xiaoping Zheng. "Achieving High-Precision Time Synchronization in Optical Satellite Networks under High-Dimensional Time-Invariant Twisted Torus Topology." In 2024 IEEE Opto-Electronics and Communications Conference (OECC). IEEE, 2024. https://doi.org/10.1109/oecc54135.2024.10975561.

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Andujar, Francisco J., Juan A. Villar, Jose L. Sanchez, Francisco J. Alfaro, and Jose Duato. "Optimal Configuration for N-Dimensional Twin Torus Networks." In 2014 IEEE 13th International Symposium on Network Computing and Applications (NCA). IEEE, 2014. http://dx.doi.org/10.1109/nca.2014.14.

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Holzenspies, P., E. Schepers, W. Bach, et al. "A communication model based on an n-dimensional torus architecture using deadlock-free wormhole routing." In Proceedings. Euromicro Symposium on Digital System Design. IEEE, 2003. http://dx.doi.org/10.1109/dsd.2003.1231920.

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Mahmoudian, Nina, and Derek A. Paley. "Synchronization on the N-torus with noisy measurements." In 2011 American Control Conference. IEEE, 2011. http://dx.doi.org/10.1109/acc.2011.5991250.

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IWAKIRI, Masahide. "QUANDLE COCYCLE INVARIANTS OF TORUS LINKS." In Intelligence of Low Dimensional Topology 2006 - The International Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770967_0008.

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Cruzeiro, Ana Bela, and Paul Malliavin. "Stochastic parallel transport on the d-dimensional torus." In Proceedings of a Satellite Conference of ICM 2006. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812791559_0001.

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Weizhen Mao, Jie Chen, and W. Watson. "Efficient subtorus processor allocation in a multi-dimensional torus." In Eighth International Conference on High-Performance Computing in Asia-Pacific Region (HPCASIA'05). IEEE, 2005. http://dx.doi.org/10.1109/hpcasia.2005.35.

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Liu, Di, Jing Li, and Shurong Zuo. "The Disjoint Path Covers of Two-Dimensional Torus Networks." In 2018 15th International Symposium on Pervasive Systems, Algorithms and Networks (I-SPAN). IEEE, 2018. http://dx.doi.org/10.1109/i-span.2018.00045.

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Lienhardt, P. "Subdivisions of n-dimensional spaces and n-dimensional generalized maps." In the fifth annual symposium. ACM Press, 1989. http://dx.doi.org/10.1145/73833.73859.

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Reports on the topic "At n- dimensional torus"

1

Lawrence, Jim. Finite unions of closed subgroups of the n-dimensional torus. National Bureau of Standards, 1988. http://dx.doi.org/10.6028/nist.ir.88-3777.

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Park, Jong-kyu, Allen H. Boozer, and Alan H. Glasser. Computation of Three Dimensional Tokamak and Spherical Torus Equilibria. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/963554.

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Alghanemi, Azeb, and Hichem Chtioui. Prescribing Scalar Curvatures on n-dimensional Manifolds, 4 ≤ n ≤ 6. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, 2020. http://dx.doi.org/10.7546/crabs.2020.02.03.

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Fredrickson, E., N. Gorelenkov, W. Heidbrink, et al. �-Suppression of Alfv�n Cascade Modes in the National Spherical Torus Experiment. Office of Scientific and Technical Information (OSTI), 2007. http://dx.doi.org/10.2172/962716.

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Raychev, Nikolay. Hyper-n-Dimensional Neural Network Model with Desargues Monoids. Web of Open Science, 2020. http://dx.doi.org/10.37686/emj.v1i1.28.

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Qiu, Zongan. Non-critical superstrings from two dimensional N = 1 supergravity. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6172609.

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Boehm, Albert R. The Correlation Structure of Randomly Oriented 1,2,....,N Dimensional Waves. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada329463.

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Suen, Guozhen, Yanhua Chua, and Jincan Xian. Solvability Results for Convex, Quasi-n-Dimensional Curves in Quantitative Statistical Systems In D-Dimensional Space. Web of Open Science, 2020. http://dx.doi.org/10.37686/qrl.v1i1.4.

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Hosokawa, Kiyonori. A Recursion Operator for the Geodesic Flow on N-Dimensional Sphere. GIQ, 2014. http://dx.doi.org/10.7546/giq-15-2014-152-161.

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Joseph, Anosh. Lattice formulation of three-dimensional N=4 gauge theory with fundamental matter fields. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1086767.

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