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Academic literature on the topic 'Moebius strips'

Author: Grafiati
Published: 6 September 2023

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Journal articles on the topic "Moebius strips"

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MAITI, SANTANU K. "TOPOLOGICAL EFFECT ON PERSISTENT CURRENTS AND THE SIGN OF LOW-FIELD CURRENTS IN n-FOLD TWISTED MOEBIUS STRIPS." International Journal of Modern Physics B 21, no. 17 (July 10, 2007): 3001–16. http://dx.doi.org/10.1142/s0217979207037478.

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I investigate persistent currents and the sign of these currents in a low-field limit (ϕ→0) for n-fold twisted Moebius strips threaded by a slowly varying magnetic flux ϕ and describe the effects of the total number of electrons Ne, chemical potential μ, number of twists n, and disorder on these quantities. Transverse hopping strength (v⊥) of the electrons plays an important role in the periodicity of the persistent current. It is observed that for Moebius strips with an odd number of twists the current shows ϕ0/2 flux-quantum periodicity only when v⊥=0, but if the electrons are allowed to hop along the transverse direction, then current shows ϕ0 flux periodicity for both odd- and even-fold twisted Moebius strips. The sign of the low-field currents also has strong dependence on the number of twists n. For zero transverse hopping strength (v⊥ = 0) the sign of the currents can be predicted exactly in odd-fold twisted Moebius strips that are characterized by fixed Ne only. For impurity free systems, the current shows only diamagnetic sign irrespective of Ne, i.e., whether the systems contain odd or even Ne. In the presence of impurity, the current shows diamagnetic and paramagnetic sign, respectively, for the systems with odd and even Ne. On the other hand, for non-zero transverse hopping strength (v⊥≠0), the sign of the low-field currents cannot be predicted exactly. Then it strongly depends on Ne, μ, and the specific realization of disordered configurations.
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AVRIN, J. S. "ON THE TAXONOMY OF FLATTENED MOEBIUS STRIPS." Journal of Knot Theory and Its Ramifications 21, no. 01 (January 2012): 1250004. http://dx.doi.org/10.1142/s0218216511009571.

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The taxonomy of flattened Moebius strips (FMS) is reexamined in order to systematize the basis for its development. An FMS is broadly characterized by its twist and its direction of traverse. All values of twist can be realized by combining elementary FMS configurations in a process called fusion but the result is degenerate; a multiplicity of configurations can exist with the same value of twist. The development of degeneracy is discussed in terms of several structural factors and two principles, conservation of twist and continuity of traverse. The principles implicate a corresponding pair of constructs, a process of symbolic convolution, and the inner product of symbolic vectors. Combining constructs and structural factors leads to a systematically developed taxonomy in terms of twist categories assembled from permutation groups. Taxonomical structure is also graphically revealed by the geometry of an expository edifice that validates the convolution process while displaying the products of fusion. A formulation that combines some of the algebraic precepts of Quantum Mechanics with the primitive combinatorics and degeneracies inherent to the FMS genus is developed. The potential for further investigation and application is also discussed. An appendix outlines the planar extension of the fusion concept and another summarizes a related application of convolution.
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Martins Ferreira, E. H., M. C. Nemes, M. D. Sampaio, and H. A. Weidenmüller. "Persistent currents in n-fold twisted Moebius strips." Physics Letters A 333, no. 1-2 (November 2004): 146–51. http://dx.doi.org/10.1016/j.physleta.2004.10.026.

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AVRIN, J. S. "FLATTENED MOEBIUS STRIPS: THEIR PHYSICS, GEOMETRY AND TAXONOMY." Journal of Knot Theory and Its Ramifications 17, no. 07 (July 2008): 835–76. http://dx.doi.org/10.1142/s0218216508006415.

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Apart from their generic relationship to knots and their application to particle physics [1], flattened Moebius strips (FMS) are of intrinsic interest as elements of a genus with specific rules of combination and a unique taxonomy. Here, FMS taxonomy is developed in detail from combinatorial and lexicographic points of view which include notions of degeneracy, completeness and excited states. The results are compared to the standard, spin-parameterized, abstract hierarchy derived by group-theoretic arguments as the direct product of vector spin spaces [2]. A review of the notion of excited states then leads to a new and different model of Beta decay that employs only fusion and fission. There is additional discussion of the relationship between twist and charge and an operator/tensor formulation of the fusion and fission of basic FMS units. Associating a Hopf algebra to FMS operations as a step toward a topological quantum field theory is also investigated. The notion of spinor/twistor networks is seen to emerge from a consideration of FMS configurations for higher values of twist and the introduction of a mode dual to the canonical FMS configuration. The last section discusses the connection of the MS genus to fiber bundle/gauge theory, the concept of spin, and the Dirac equation of the electron.
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MAITI, SANTANU K. "ADDENDUM TO: "TOPOLOGICAL EFFECT ON PERSISTENT CURRENTS AND THE SIGN OF LOW-FIELD CURRENTS IN n-FOLD TWISTED MOEBIUS STRIPS"." International Journal of Modern Physics B 22, no. 13 (May 20, 2008): 2197. http://dx.doi.org/10.1142/s0217979208039356.

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Cheshkova, Mira. "The Plane Moebius Strip." Izvestiya of Altai State University 1, no. 2 (2013): 52–57. http://dx.doi.org/10.14258/izvasu(2013)1.2-09.

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Soudhamini. "The CVR narrative as a moebius strip." Journal of Screenwriting 11, no. 2 (June 1, 2020): 175–89. http://dx.doi.org/10.1386/josc_00024_1.

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Drawing on teaching sessions that I conducted last year, alongside my own practice-based doctoral research in narrative or cinematic VR (CVR) predicated on the Deleuzian notion of immanence, I propose that the CVR screenplay is better understood as a moebius strip than a linear narrative; a tale that turns around on itself. But far from being unorientable like its mathematical paradigm, the moebius narrative can be both oriented and scripted, as I hope to illustrate using student work as well as my own script iterations. Taking it to be both a model and a metaphor, this article explores how a moebius narrative can be designed ‐ and why design thinking is more suitable for this process than traditional screenwriting methods. While still an understanding-in-progress, I find this conceptual framework useful for both practice and pedagogy. This article hopes additionally, therefore, to make a case for pedagogy as a research method in its own right, especially in the context of practice-based research.
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He, Yefeng, and Yepeng Xing. "Poincaré Map and Periodic Solutions of First-Order Impulsive Differential Equations on Moebius Stripe." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/382592.

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This paper is mainly concerned with the existence, stability, and bifurcations of periodic solutions of a certain scalar impulsive differential equations on Moebius stripe. Some sufficient conditions are obtained to ensure the existence and stability of one-side periodic orbit and two-side periodic orbit of impulsive differential equations on Moebius stripe by employing displacement functions. Furthermore, double-periodic bifurcation is also studied by using Poincaré map.
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Kumler, Mark P., and Waldo R. Tobler. "Three World Maps on a Moebius Strip." Cartography and Geographic Information Systems 18, no. 4 (January 1991): 275–76. http://dx.doi.org/10.1559/152304091783786781.

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Schwarz, Gideon E. "The Dark Side of the Moebius Strip." American Mathematical Monthly 97, no. 10 (December 1990): 890. http://dx.doi.org/10.2307/2324325.

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Dissertations / Theses on the topic "Moebius strips"

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Green, Alan Edward Jr. "Altered States of Reality: The Theme of Twinning in David Lynch's Lost Highway." Scholar Commons, 2006. http://scholarcommons.usf.edu/etd/3758.

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As a postmodern director, David Lynch makes films which are innovative, evocative, and uniquely his own. The theme of twinning, in particular, is recapitulated throughout the director's oeuvre; however, it is with Lost Highway that the thematic element he addresses takes center stage. The film's main character Fred Madison (Bill Pullman) is unable to cope with the trauma in his life. After killing his wife and finding himself on death row, he has a parallel identity crisis; he manages a metamorphosis into a younger, virile Pete Dayton (Balthazar Getty). The method which allows this transformation is the psychogenic fugue: a fantasy which creates an alternate reality caused by the subject's refusal to see objective truth(s). As the plot progresses, there are several more characters who develop alter egos. These other important twinnings include Fred's wife Renee/Alice (Patricia Arquette), Mr. Eddy/Dick Laurant (Robert Loggia), and the Mystery Man played by Robert Blake. Of all the doppelgangers, the Mystery Man is vital to the unraveling of the story; he is an abstraction and can exist in several places at one time. He is a symbolic function of the superego which allows Fred to carry out the mission. Lynch also uses the Moebius Strip as another tool to interweave reality and fantasy into the plot. The story can have a litany of meanings because of the twist in the strip. It allows overlap in the space/time continuum. The use of this concept is invaluable in applying certain types of analysis to the film. Among others, Jacques Lacan , Sigmund Freud, and Slavoj Zizek are central to defining the film. Lynch shows the audience that fantasy cannot subvert reality. It is only a temporary fix. Fred Madison's twinning is unsuccessful in the end. He is forced to continue riding his own lost highway until another new reality is created.
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Kumar, Arun. "Studies on modeling the mechanics of slender elastic ribbons." Thesis, 2022. https://etd.iisc.ac.in/handle/2005/5689.

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Ribbons are slender structures characterized by three disparate geometric dimensions: length >> width >> thickness. Such a dimensional disparity enables ribbons to bend, buckle, twist and crease response to simple loading conditions. Their nonlinear deformation behavior, once considered a hindrance, is now routinely exploited in engineering applications related to stretchable electronics and flexible robotics. Such applications demand a systematic understanding of the mechanics of elastic ribbons using experiments, modeling, and simulations. This thesis is a step in this direction. Experiments using annulus-shaped ribbons and Moebius strips serve as our point of departure. The critical challenge in these experiments lies in measuring complex three-dimensional deformations observed. Routinely used techniques turn out to be inadequate, either due to the compliance of ribbon structures (e.g., contact probes, strain gauges) or due to the large displacements and rotations involved (DIC). We leverage novel computer vision techniques developed in the lab to faithfully digitize shapes and sample deformation maps of ribbons in the experiments. These measurements lead us to the main contributions of this thesis--- a detailed examination of the predictive capabilities of commonly used modeling approaches and the formulation of a dedicated one-dimensional ribbon model. The physical appearance of ribbons motivates modeling them either as thin elastic plates or as elastic rods having a slender cross-section. Widespread adoption of the von Karman plate theory and the Kirchhoff rod model exemplifies this dichotomy. Somewhat surprisingly, comparing finite element simulations of these models with experimental measurements reveals both approaches to be deficient, even in simpler scenarios than ones where they are routinely used. These studies show that it is essential to permit large displacements and rotations in ribbon models and that compliance in the direction of the width, though small, plays an important role. Indeed, the experiments with annular ribbons and Moebius strips are designed to highlight these deformation features. We propose adopting the small-strain Cosserat plate theory instead. The model's generality, along with a robust finite element implementation that addresses issues of numerical locking by adopting high order elements and approximating large rotations using exponential maps, translates to excellent agreement with experimental measurements. The model faithfully reproduces measured shapes, displacement fields and curvature distributions, as well as bifurcations and energy localization phenomena observed in experiments. We then propose a dedicated reduced-order one-dimensional ribbon model by systematically incorporating kinematic assumptions in the plate theory. The model is Sadowsky-type theory that requires one additional field to describe lateral curvatures along the width of the ribbon. We examine the model's predictions through challenging examples, including one involving twist-induced snap-through. The model promises to be a valuable tool to develop insights into the mechanics of ribbons, besides being a compelling alternative to the Sadowsky and Wunderlich ribbon models routinely used in the literature.
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Books on the topic "Moebius strips"

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Jean-Marc, Lofficier, and Lofficier Randy, eds. Moebius: Exotics. Milwaukie, Ore: Dark Horse Comcis, 1997.

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Schreiber, Armin. Kunst: Comics : Corben, Druillet, Moebius : Ortung eines künstlerischen Mediums. Hamburg: Dreibein Verlag, 1989.

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1966-, Platthaus Andreas, ed. Moebius: Zeichenwelt : mit mehr als 250 meist unveröffentlichten Bildern. Frankfurt am Main: Eichborn, 2003.

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Moebius. Moebius. Graphitti Designs, 1987.

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Moebius. Moebius. Graphitti Designs, 1987.

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Moebius. Moebius. Graphitti Designs, 1987.

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Moebius. Moebius. Graphitti Designs, 1987.

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Moebius. Moebius. Graphitti Designs, 1987.

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Moebius. Moebius. Graphitti Designs, 1987.

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Moebius: Stel. Marvel Entertainment Group, 1994.

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Book chapters on the topic "Moebius strips"

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D’Uva, Domenico, and Paolo Tomelleri. "Cutting and Overlapping: Moebius Strip in Max Reinhart Haus." In Lecture Notes in Civil Engineering, 585–600. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-59743-6_27.

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Lee, Esther Kim. "Korean Diaspora and the Moebius Strip: Sung Rno’s Yi Sang Counts to Thirteen and Transnational Avant-Garde Theater." In Transnational Performance, Identity and Mobility in Asia, 91–103. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7107-2_6.

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Cheesmond, Robert. "The Moebius Strip." In Performing Processes, 94–102. Intellect Books, 2000. http://dx.doi.org/10.2307/j.ctv36xvsqw.11.

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"The Moebius Strip." In The Collected Poems of Charles Olson, 54–55. University of California Press, 2023. http://dx.doi.org/10.2307/jj.5973115.49.

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"Travelling on a Moebius strip:." In Lessons of Travel in Eighteenth-Century France, 107–38. Boydell & Brewer, 2020. http://dx.doi.org/10.2307/j.ctvrdf13n.9.

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Gibson, Andrew. "Self-Reductions." In J.M. Coetzee and Neoliberal Culture, 39–68. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198857914.003.0003.

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Abstract What kind of fictional construct is the neoliberal subject? Homo psycho-economicus, whose core is the competitive drive. This subject commits itself to enterprise and production. It stands in an entrepreneurial relation to itself, and must develop skills in self-promotion, self-management, and ‘leverage’. It aims for ‘visibility’ but remains ‘authentic’. Yet the self-promoting cannot coincide with the self-promoted self. The neoliberal subject is inwardly flawed and vulnerable, as it must be to keep on overcoming itself. Coetzee has a horror of this subject. His autobiographical writings instead make visible a reticent, self-effacing, self-critical, shame-filled subject. This subject is also properly unknowable and can never reach authenticity. Rather than self-promotion, it chooses a self-presentation involving duty and responsibility, and therefore negation or self-reduction. The neoliberal psyche appears to have gained ground hugely at the expense of the understated or self-diminishing subject. Coetzee counters its Moebius-strip logic with his own.
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Gardner, Colin. "‘Stratigraphic Silence’: Chaoid Cinema and its Centripetal/Centrifugal Functions." In Chaoid Cinema, 1–21. Edinburgh University Press, 2021. http://dx.doi.org/10.3366/edinburgh/9781474494021.003.0001.

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The Introduction lays down the philosophical basis for the book by showing how silence acts as a connecting vector between different planes – specifically composition (art) and immanence (philosophy) – using a stratigraphic approach derived from Deleuze and Guattari, whereby layers of meaning are less chronological than they are overlapping (like rock strata) so that we can make ‘underground’ connections beneath the surface continuity of the narrative. Then, using Laura U. Marks’s concept of ‘enfolding-unfolding aesthetics’ (itself grounded in Leibniz’s baroque fold as the smallest element of matter), the chapter shows how the past-as-virtual unfolds and then re-enfolds back in relation to the actual along the plane of immanence, linking experience, information and image in a topological biogram (akin to an endlessly returning Moebius strip). This is then related to centripetal and centrifugal forces in traditional film theory, whether based on the rigid framing of the theatrical proscenium (André Bazin’s centripetally independent shot, epitomized by the long take) or the deframings of Eisenstein and other montage-oriented directors where movement across and between shots breaks the theatrical frame (Deleuze’s movement-image).
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Sabel, Charles. "Moebius-Strip Organizations and Open Labor Markets: Some Consequences of the Reintegration of Conception and Execution in a Volatile Economy." In Social Theory for a Changing Society, 23–61. Routledge, 2019. http://dx.doi.org/10.4324/9780429306440-2.

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Conference papers on the topic "Moebius strips"

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Gilinsky, Mikhail, John Seiner, and Floyd Backley. "Screws, propellers and fans based on the Moebius strip." In 4th AIAA/CEAS Aeroacoustics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/6.1998-2260.

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