Relevant bibliographies by topics / Tangles

Academic literature on the topic 'Tangles'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 September 2023

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Journal articles on the topic "Tangles"

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O'Keeffe, Michael, and Michael M. J. Treacy. "Tangled piecewise-linear embeddings of trivalent graphs." Acta Crystallographica Section A Foundations and Advances 78, no. 2 (February 18, 2022): 128–38. http://dx.doi.org/10.1107/s2053273322000560.

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A method is described for generating and exploring tangled piecewise-linear embeddings of trivalent graphs under the constraints of point-group symmetry. It is shown that the possible vertex-transitive tangles are either graphs of vertex-transitive polyhedra or bipartite vertex-transitive nonplanar graphs. One tangle is found for 6 vertices, three for 8 vertices (tangled cubes), seven for 10 vertices, and 21 for 12 vertices. Also described are four isogonal embeddings of pairs of cubes and 12 triplets of tangled cubes (16 and 24 vertices, respectively). Vertex 2-transitive embeddings are obtained for tangled trivalent graphs with 6 vertices (two found) and 8 vertices (45 found). Symmetrical tangles of the 10-vertex Petersen graph and the 20-vertex Desargues graph are also described. Extensions to periodic tangles are indicated. These are all interesting and viable targets for molecular synthesis.
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Kim, Soo Hwan. "Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications." Advances in Mathematical Physics 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/4030658.

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We introduce real tangle and its operations, as a generalization of rational tangle and its operations, to enumerating tangles by using the calculus of continued fraction and moreover we study the analytical structure of tangles, knots, and links by using new operations between real tangles which need not have the topological structure. As applications of the analytical structure, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional equation fx⊕y=fx⊕fy in tangle space which is a set of real tangles with analytic structure and describe the DNA recombination as the action of some enzymes on tangle space.
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Cochran, Tim D., and Daniel Ruberman. "Invariants of tangles." Mathematical Proceedings of the Cambridge Philosophical Society 105, no. 2 (March 1989): 299–306. http://dx.doi.org/10.1017/s0305004100067785.

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A tangle is a pair of strings (t0, t1) properly embedded in a 3-ball. Tangles have been used in several approaches to the classification of knots (see [1, 4, 15]). In these investigations, one keeps track of the endpoints of the arcs, so that the sum of two tangles along their boundaries is well defined. In particular, the sum of a given tangle with a trivial tangle, and any invariants of the resulting link, are invariants of the tangle under the restricted relation of isotopy keeping the endpoints fixed.
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BOGDANOV, ANDREY, VADIM MESHKOV, ALEXANDER OMELCHENKO, and MIKHAIL PETROV. "ENUMERATING THE k-TANGLE PROJECTIONS." Journal of Knot Theory and Its Ramifications 21, no. 07 (April 7, 2012): 1250069. http://dx.doi.org/10.1142/s0218216512500691.

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The paper addresses the enumeration problem for k-tangles. We introduce the notion of a cascade diagram of a k-tangle projection and suggest an effective enumeration algorithm for projections based on the cascade representation. Tangle projections and alternating tangles with up to 12 crossings are tabulated. We also provide pictures of alternating k-tangles with at most five crossings.
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Kwon, Bo-Hyun. "Uniqueness of reduced alternating rational 3-tangle diagrams." Journal of Knot Theory and Its Ramifications 24, no. 05 (April 2015): 1550030. http://dx.doi.org/10.1142/s0218216515500303.

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Tangles were introduced by J. Conway. In 1970, he proved that every rational 2-tangle defines a rational number and two rational 2-tangles are isotopic if and only if they have the same rational number. So, from Conway's result we have a perfect classification for rational 2-tangles. However, there is no similar theorem to classify rational 3-tangles. In this paper, we introduce an invariant of rational n-tangles which is obtained from the Kauffman bracket. It forms a vector with Laurent polynomial entries. We prove that the invariant classifies the rational 2-tangles and the reduced alternating rational 3-tangles. We conjecture that it classifies the rational 3-tangles as well.
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EMERT, J., and C. ERNST. "N-STRING TANGLES." Journal of Knot Theory and Its Ramifications 09, no. 08 (December 2000): 987–1004. http://dx.doi.org/10.1142/s021821650000058x.

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An n-string tangle (B, T) is a 3-ball B containing n properly embedded arcs T={ti}. An n-string tangle (B, T) is called rational if it is a homeo-morphism of pairs from (B, T) to (D, P)×I where D is the unit disk, P is any set of n points in the interior of D and I is the unit interval on the real line. In this article we begin to generalize the well known classification of 2-string rational tangles to rational tangles with three or more strings. A symbol describing an n-string rational tangle and an algebraic topological invariant is developed.
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BRITTENHAM, MARK. "PERSISTENTLY LAMINAR TANGLES." Journal of Knot Theory and Its Ramifications 08, no. 04 (June 1999): 415–28. http://dx.doi.org/10.1142/s0218216599000286.

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We show how to build tangles T in a 3-ball with the property that any knot obtained by tangle sum with T has a persistent lamination in its exterior, and therefore has property P. The construction is based on an example of a persistent lamination in the exterior of the twist knot 61, due to Ulrich Oertel. We also show how the construction can be generalized to n-string tangles.
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Kwon, Bo-Hyun. "On the classification of a large set of rational 3-tangle diagrams." Journal of Knot Theory and Its Ramifications 26, no. 13 (November 2017): 1750087. http://dx.doi.org/10.1142/s0218216517500870.

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We note that a rational [Formula: see text]-tangle diagram is obtained from a combination of four generators. There is an algorithm to distinguish two rational [Formula: see text]-tangle diagrams up to isotopy: [B. Kwon, An algorithm to classify rational [Formula: see text]-tangles, J. Knot Theory Ramifications 24(1) (2015) 1550004]. However, there is no perfect classification about rational [Formula: see text]-tangle diagrams such as the classification of rational [Formula: see text]-tangle diagrams corresponding to rational numbers. In this paper, we classify a large set of rational [Formula: see text]-tangles which are generated by only three generators.
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Patil, Vishal P., Harry Tuazon, Emily Kaufman, Tuhin Chakrabortty, David Qin, Jörn Dunkel, and M. Saad Bhamla. "Ultrafast reversible self-assembly of living tangled matter." Science 380, no. 6643 (April 28, 2023): 392–98. http://dx.doi.org/10.1126/science.ade7759.

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Tangled active filaments are ubiquitous in nature, from chromosomal DNA and cilia carpets to root networks and worm collectives. How activity and elasticity facilitate collective topological transformations in living tangled matter is not well understood. We studied California blackworms ( Lumbriculus variegatus ), which slowly form tangles in minutes but can untangle in milliseconds. Combining ultrasound imaging, theoretical analysis, and simulations, we developed and validated a mechanistic model that explains how the kinematics of individual active filaments determines their emergent collective topological dynamics. The model reveals that resonantly alternating helical waves enable both tangle formation and ultrafast untangling. By identifying generic dynamical principles of topological self-transformations, our results can provide guidance for designing classes of topologically tunable active materials.
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Milani, Vida, Seyed M. H. Mansourbeigi, and Hossein Finizadeh. "Algebraic and topological structures on rational tangles." Applied General Topology 18, no. 1 (April 3, 2017): 1. http://dx.doi.org/10.4995/agt.2017.2250.

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<p>In this paper we present the construction of a group Hopf algebra on the class of rational tangles. A locally finite partial order on this class is introduced and a topology is generated. An interval coalgebra structure associated with the locally finite partial order is specified. Irrational and real tangles are introduced and their relation with rational tangles are studied. The existence of the maximal real tangle is described in detail.</p>
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Dissertations / Theses on the topic "Tangles"

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Caples, Christine. "Classifying 2-string tangles within families and tangle tabulation." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5918.

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A knot can be thought of as a knotted piece of string with the ends glued together. A tangle is formed by intersecting a knot with a 3-dimensional ball. The portion of the knot in the interior of the ball along with the fixed intersection points on the surface of the ball form the tangle. Tangles can be used to model protein- DNA binding, so another way to think of a tangle is in terms of segments of DNA (the strings) bounded by the protein complex (the 3-dimensional ball). In this thesis, we look at an algorithm used to list tangles. We also classify tangles into families.
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Jones, Garrett L. "Modeling knotted proteins with tangles." Diss., University of Iowa, 2013. https://ir.uiowa.edu/etd/4862.

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Proteins play a vital role in all organic life. The structure of a protein is directly related to its function. Hence, how they fold and what they fold into is of great interest. Given the spontaneous manner in which many proteins fold, one would not expect complicated structures like knots to occur in native states. Nevertheless, current research has shown that proteins do indeed contain local knots; some with as many as 6 crossings. In general, the role of knots in proteins and how they are formed is not completely understood. This thesis develops models of protein knotting by using knot theory and tangles. Mathematically, a knot is just a topological embedding of a circle in Euclidean 3-space, R3, or the unit 3-sphere, S3. A tangle is defined as a pair, (B, T), where B is a 3-dimensional ball and T is a set of disjoint arcs properly embedded in B. We begin with 2-string tangles and use the tangle calculus developed by Ernst and Sumners to set up tangle equations. In this model the strings of the 2-tangles represent the protein chain. Solutions to these 2-string tangle equations are then found. Motivated by the hypothesized folding pathway of the knotted protein DehI, a more complicated 3-string tangle model is developed. It is hypothesized that a terminal end of the protein is threaded through two loops. In the proposed model, the threading of a terminal end of the protein through two loops is translated into a Γ;-move on 3-string tangles. A Γ;-move is a special type of 3-string tangle replacement. The 3-braids are utilized as a subset of 3-string tangles to find solutions in a limited case. Additionally, tangle models give insight into how to make specific knot types in proteins. We finish with a general result by proving that any knot of unknotting number 2 can be unknotted by the Γ;-move. With these models we determine which knots are the most biologically possible to occur in proteins.
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Kennedy, Kathleen Grace. "A Diagrammatic Multivariate Alexander Invariant of Tangles." Thesis, University of California, Santa Barbara, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3596170.

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Recently, Bigelow defined a diagrammatic method for calculating the Alexander polynomial of a knot or link by resolving crossings in a planar algebra. In this dissertation, I will present my multivariate version of Bigelow's algorithm for the Alexander polynomial. The advantage to my algorithm is that it generalizes easily to a multivariate tangle invariant. I will also present preliminary results on the connection to Jana Archibald's tangle invariant and conclude with ideas for future research.

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Street, Ethan J. "Towards an Instanton Floer Homology for Tangles." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10193.

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In this thesis we investigate the problem of defining an extension of sutured instanton Floer homology to give an instanton invariant for a tangle. We do this in three separate steps. First, we investigate the representation variety of singular flat connections on a punctured Riemann surface \(\Sigma\). Suppose \(\Sigma\) has genus \(g\) and that there are \(n\) punctures. We give formulae for the Betti numbers of the space \(\mathcal{R}_{g,n}\) of flat \(SU(2)\)-connections on \(\Sigma\) with trace 0 holonomy around the punctures. By using a natural extension of the Atiyah-Bott generators for the cohomology ring \(H^*(\mathcal{R}_{g,n})\), we are able to write down a presentation for this ring in the case \(g=0\) of a punctured sphere. This is accomplished by studying the intersections of Poincaré dual submanifolds for the new generators and reducing the calculation to a linear algebra problem involving the symplectic volumes of the representation variety. We then study the related problem of computing the instanton Floer homology for a product link in a product 3-manifold

\((Y_g, K_n) := (S^1 \times \Sigma, S^1 \times \{n pts\})\).<\p> It is easy to see that the Floer homology of this pair, as a vector space, is essentially the same as the cohomology of \(\mathcal{R}_{g,n}\), and so we set ourselves to determining a presentation for the natural algebra structure on it in the case \(g = 0\). By leveraging a stable parabolic bundles calculation for \(n = 3\) and an easier version of this Floer homology, \(I _*(Y_0, K_n, u)\), we are able to write down a complete presentation for the Floer homology \(I _*(Y_0, K_n)\) as a ring. We recapitulate somewhat the techniques in \([\boldsymbol{27}]\) in order to do this. Crucially, we deduce that the eigenspace for the top eigenvalue for a natural operator \(\mu^{ orb} (\Sigma)\) on \(I_* (Y_0, K_n)\) is 1-dimensional.Finally, we leverage this 1-dimensional eigenspace to define an instanton tangle invariant THI and several variants by mimicking the de nition of sutured Floer homology SHI in \([\boldsymbol{22}]\). We then prove this invariant enjoys nice properties with respect to concatenation, and prove a nontriviality result which shows that it detects the product tangle in certain cases.
Mathematics

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Zibrowius, C. B. "On a Heegaard Floer theory for tangles." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/263367.

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The purpose of this thesis is to define a “local” version of Ozsváth and Szabó’s Heegaard Floer homology HFL^ for links in the 3-sphere, i.e. a Heegaard Floer homology HFT^ for tangles in the 3-ball. The decategorification of HFL^ is the classical Alexander polynomial for links; likewise, the decategorification of HFT^ gives a local version ∇ˢ of the Alexander polynomial. In the first chapter of this thesis, we give a purely combinatorial definition of this polynomial invariant ∇ˢ via Kauffman states and Alexander codes and investigate some of its properties. As an application, we show that the multivariate Alexander polynomial is mutation invariant. In the second chapter, we define HFT^ in two slightly different, but equivalent ways: One is via Juhász’s sutured Floer homology, the other by imitating the construction of HFL^. We then state a glueing theorem in terms of Zarev’s bordered sutured Floer homology, which endows HFT^ with additional structure. As an application, we show that any two links related by mutation about a (2,−3)-pretzel tangle have the same δ-graded link Floer homology. This result relies on a computer calculation. In the third and last chapter, we specialise to 4-ended tangles. In this case, we give a reformulation of HFT^ with a glueing structure in terms of (what we call) peculiar modules. Together with a glueing theorem, we can easily recover oriented and unoriented skein relations for HFL^. Our peculiar modules also enjoy some symmetry relations, which support a conjecture about δ-graded mutation invariance of HFL^. However, stronger symmetries would be needed to actually prove this conjecture. Finally, we explore the relationship between peculiar modules and twisted complexes in the wrapped Fukaya category of the 4-punctured sphere. There are four appendices, some of which might be of independent interest: In the first appendix, we describe a general construction of dg categories which unifies all algebraic structures used in this thesis, in particular type A and type D modules from bordered theory. In the second appendix, we prove a generalised version of Kauffman’s clock theorem, which plays a major role for our decategorified invariants. The last two appendices are manuals for two Mathematica programs. The first is a tool for computing the generators of HFT^ and the decategorified tangle invariant ∇ˢ. The second allows us to compute bordered sutured Floer homology using nice diagrams.
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Kneip, Jakob [Verfasser]. "Tangles and where to find them / Jakob Kneip." Hamburg : Staats- und Universitätsbibliothek Hamburg Carl von Ossietzky, 2020. http://d-nb.info/1223095886/34.

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Morshed, Trisha. "THE RELATIONSHIP OF PLAQUES, TANGLES, AND LEWY‐TYPE ALPHA‐SYNUCLEINOPATHY TO VISUAL HALLUCINATIONS IN PARKINSON’S DISEASE AND ALZHEIMER’S DISEASE." Thesis, The University of Arizona, 2015. http://hdl.handle.net/10150/535398.

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A Thesis submitted to The University of Arizona College of Medicine - Phoenix in partial fulfillment of the requirements for the Degree of Doctor of Medicine.
Objective: Formed visual hallucinations are a common phenomenon in neurodegenerative disorders such as Parkinson’s Disease (PD), Alzheimer’s disease (AD) and Dementia with Lewy bodies (DLB). While Lewy‐type alpha‐synucleinopathy (LTSis the hallmark neuropathological finding in PD and DLB, amyloid plaques and neurofibrillary tangles are the pathological finding in AD. Previous research has linked complex or formed visual hallucinations (VH) to LTS in neocortical and limbic areas in patients with PD and DLB. As VH also occur in Alzheimer’s disease, and AD pathology often co‐occurs with LTS, we questioned whether this pathology might also be linked to VH. Methods: We performed a semi‐quantitative neuropathological study across brainstem, limbic, and cortical structures in subjects with a documented clinical history of VH and a clinicopathological diagnosis of Parkinson’s disease (PD), Alzheimer’s disease (AD), or dementia with Lewy bodies (DLB). 173 subjects – including 50 with VH and 123 without VH – were selected from the Arizona Study of Aging and Neurodegenerative Disorders. Clinical variables examined included the Mini‐mental State Exam, Hoehn & Yahr stage, and total dopaminergic medication dose. Neuropathological variables examined included total and regional LTS and plaque and tangle densities. Results: A significant relationship was found between the density of LTS and the presence of VH in all diagnostic groups. Plaque and tangle densities also were associated with VH in PD (p=.003 for plaque and p=.004 for tangles), but not in AD, where densities were high regardless of the presence of hallucinations.. Conclusion: Plaques and tangles as well as LTS may contribute to the pathogenesis of VH. Incident VH may be a clinical indicator of underlying pathological events: the development of plaques and tangles in patients with PD, and LTS in patients with AD.
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Suzuki, Sakie. "On the universal sl2 invariant of boundary bottom tangles." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/157739.

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Weißauer, Daniel [Verfasser], and Reinhard [Akademischer Betreuer] Diestel. "On Tangles and Trees / Daniel Weißauer ; Betreuer: Reinhard Diestel." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2018. http://d-nb.info/1166315363/34.

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Weißauer, Daniel Verfasser], and Reinhard [Akademischer Betreuer] [Diestel. "On Tangles and Trees / Daniel Weißauer ; Betreuer: Reinhard Diestel." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2018. http://nbn-resolving.de/urn:nbn:de:gbv:18-92847.

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Books on the topic "Tangles"

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Broome, Errol. Tangles. New York: Knopf, 1994.

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Copyright Paperback Collection (Library of Congress), ed. Tangles. Toronto: Bantam Books, 1987.

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Ann, James, ed. Tangles. St Leonards, NSW: Allen & Unwin, 1993.

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Johnson, Rebecca. Tree-frog tangles. Australia: Steve Parish Pub. Studio, 2002.

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Habiro, Kazuo. Bottom tangles and universal invariants. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2005.

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Elizabeth, Stewart. Tangles of the mind: A journey through Alzheimer's. Sacramento, CA: Elderberry Press, 1991.

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Stitches on time: Colonial textures and postcolonial tangles. Durham· NC: Duke University Press·, 2003.

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Leavitt, Sarah. Tangles: A story about Alzheimer's, my mother, and me. New York: Skyhorse Publishing, 2012.

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El gran libro del Zentangle®: Los 101 mejores tangles. Madrid: El Drac, 2015.

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Functorial knot theory: Categories of tangles, coherence, categorical deformations, and topological invariants. Singapore: World Scientific, 2001.

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Book chapters on the topic "Tangles"

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Demaine, Erik D., Martin L. Demaine, Adam Hesterberg, Quanquan Liu, Ron Taylor, and Ryuhei Uehara. "Tangled Tangles." In The Best Writing on Mathematics 2018, edited by Mircea Pitici, 83–96. Princeton: Princeton University Press, 2018. http://dx.doi.org/10.1515/9780691188720-008.

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Ruiz-Vargas, Andres J. "Tangles and Degenerate Tangles." In Graph Drawing, 346–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36763-2_31.

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Tschanz, JoAnn, and Elizabeth K. Vernon. "Neurofibrillary Tangles." In Encyclopedia of Clinical Neuropsychology, 2401–2. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-57111-9_492.

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Tschanz, JoAnn T., and Elizabeth K. Vernon. "Neurofibrillary Tangles." In Encyclopedia of Clinical Neuropsychology, 1–2. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-56782-2_492-2.

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Andrews, Anne M., Greg A. Gerhardt, Lynette C. Daws, Mohammed Shoaib, Barbara J. Mason, Charles J. Heyser, Luis De Lecea, et al. "Neurofibrillary Tangles." In Encyclopedia of Psychopharmacology, 851. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-68706-1_1392.

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Jackson, David M., and Iain Moffatt. "q-Tangles." In CMS Books in Mathematics, 283–91. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-05213-3_15.

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Tschanz, JoAnn T. "Neurofibrillary Tangles." In Encyclopedia of Clinical Neuropsychology, 1743–44. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-0-387-79948-3_492.

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Sumners, De Witt. "DNA, Knots and Tangles." In The Mathematics of Knots, 327–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-15637-3_11.

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Dhaliwal, Upreet. "Tangles that Lead Nowhere." In Queer Interventions in Biomedicine and Public Health, 139. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-19235-7_10.

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Anderton, B. H., M. C. Haugh, J. Kahn, C. Miller, A. Probst, and J. Ulrich. "The Nature of Neurofibrillary Tangles." In Advances in Applied Neurological Sciences, 205–16. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-70644-8_17.

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Conference papers on the topic "Tangles"

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Parmar, Paritosh. "Use of computer vision to detect tangles in tangled objects." In 2013 IEEE Second International Conference on Image Information Processing (ICIIP). IEEE, 2013. http://dx.doi.org/10.1109/iciip.2013.6707551.

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Grohe, Martin, and Pascal Schweitzer. "Computing with Tangles." In STOC '15: Symposium on Theory of Computing. New York, NY, USA: ACM, 2015. http://dx.doi.org/10.1145/2746539.2746587.

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Romero, J., J. Leach, B. Jack, M. R. Dennis, S. Franke-Arnold, S. M. Barnett, and M. J. Padgett. "Entangled Tangles of Phase Singularities." In Frontiers in Optics. Washington, D.C.: OSA, 2010. http://dx.doi.org/10.1364/fio.2010.ftug5.

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Ricca, Renzo L. "Tackling fluid tangles complexity by knot polynomials." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756217.

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Ricca, Renzo L. "Towards a complexity measure theory for vortex tangles." In Proceedings of the International Conference on Knot Theory and Its Ramifications. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792679_0023.

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Veretenov, N. A., S. V. Fedorov, and N. N. Rosanov. "Tangles as Vortex Dissipative Solitons in Laser Hula-hoop and Knots." In 2018 International Conference Laser Optics (ICLO). IEEE, 2018. http://dx.doi.org/10.1109/lo.2018.8435876.

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Gavrilova, Elena V. "Utterances As Grammatical Tangles. Using Subject-Centered Sentence Models In Translation." In WUT 2018 - IX International Conference “Word, Utterance, Text: Cognitive, Pragmatic and Cultural Aspects”. Cognitive-Crcs, 2018. http://dx.doi.org/10.15405/epsbs.2018.04.02.40.

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Zivic, Natasa, Esad Kadusic, and Kerim Kadusic. "Directed Acyclic Graph as Hashgraph: an Alternative DLT to Blockchains and Tangles." In 2020 19th International Symposium INFOTEH-JAHORINA (INFOTEH). IEEE, 2020. http://dx.doi.org/10.1109/infoteh48170.2020.9066312.

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Goyal, S., and N. C. Perkins. "A Hybrid Rod-Catenary Model to Simulate Nonlinear Dynamics of Cables With Low and High Tension Zones." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85092.

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Cables under very low tension may become highly contorted and form loops, tangles, knots and kinks. These nonlinear deformations, which are dominated by flexure and torsion, pose serious concerns for cable deployment. Simulation of the three-dimensional nonlinear dynamics of loop and tangle formation requires a 12th order rod model and the computational effort increases rapidly with increasing cable length and integration time. However, marine cable applications which result in local zones of low-tension very frequently involve large zones of high-tension where the effects of flexure and torsion are insignificant. Simulation of the three-dimensional dynamics of high-tension cables requires only a 6th order catenary model which significantly reduces computational effort relative to a rod model. We propose herein a hybrid computational cable model that employs computationally efficient catenary elements in high-tension zones and rod elements in localized low-tension zones to capture flexure and torsion precisely where needed.
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Choo, Lin-P'ing, Michael Jackson, William C. Halliday, and Henry H. Mantsch. "Alzheimer's disease: neuritic plaques and neurofibrillary tangles in human brain identified by FTIR spectroscopy." In Fourier Transform Spectroscopy: Ninth International Conference, edited by John E. Bertie and Hal Wieser. SPIE, 1994. http://dx.doi.org/10.1117/12.166733.

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Reports on the topic "Tangles"

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PUNJABI, ALKESH, and HALIMA ALI. Homoclinic tangles in the DIII-D divertor tokamak. Office of Scientific and Technical Information (OSTI), July 2019. http://dx.doi.org/10.2172/1570386.

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Piper, Eleanor. Chasing After the Tangle. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.3012.

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McMechan, M. E., and G. B. Leech. Geology, Tangle Peak, British Columbia. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2011. http://dx.doi.org/10.4095/287454.

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Muralidharan, Sukumar. India’s tangled web of misinformation lies. Edited by Reece Hooker and Andrew Jaspan. Monash University, February 2022. http://dx.doi.org/10.54377/7fd1-be4b.

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Evans, M. E., and D. C. Perryman. Severe Weather Guide Mediterranean Ports - 33. Tangier. Fort Belvoir, VA: Defense Technical Information Center, November 1990. http://dx.doi.org/10.21236/ada237596.

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Daigle, L., ed. A Tangled Web: Issues of I18N, Domain Names, and the Other Internet protocols. RFC Editor, May 2000. http://dx.doi.org/10.17487/rfc2825.

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Fukuda, Teppei. Moonlit Nights and Seasons of Romance: Yosano Akiko's Use of the Moon in Tangled Hair. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.7452.

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Mayer, Liat. The Tangle of Institutional Care and Control at a Shelter for Commercially Sexually Exploited Youth. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.7149.

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Sanchez Andaur, Raúl, and Alejandro Morales Yamal. Diagnóstico antropológico Mataquito. Universidad Autónoma de Chile, December 2021. http://dx.doi.org/10.32457/12728/9984202162.

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Tanczyk, E. I. A Paleomagnetic Analysis of the Tangier Dyke in Meguma Terrane of Nova Scotia. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1992. http://dx.doi.org/10.4095/133582.

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