Relevant bibliographies by topics / Braid group

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Braid group'

Author: Grafiati
Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Braid group"

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Nasution, Mahyuddin K. M. "The braid group: redefining." MATEC Web of Conferences 197 (2018): 01005. http://dx.doi.org/10.1051/matecconf/201819701005.

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The role of the braid group constitutes one of the invariant measurements. Through the classification of braids formed several parts of the braid group, but does not computationally distinguish them. Some characteristics have been expressed to give the features to a braid in braid group based on redefining relation between braid group and permutation group.
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Paul, Kamakhya, Pinkimani Goswami, and Madan Mohan Singh. "ALGEBRAIC BRAID GROUP PUBLIC KEY CRYPTOGRAPHY." jnanabha 52, no. 02 (2022): 218–23. http://dx.doi.org/10.58250/jnanabha.2022.52225.

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The braid group cryptography arises with the involvement of the braid group, which is an infinite non-commutative group arising from geometric braids. In this paper, we have proposed a new public key cryptosystem based on braid group. The security of our proposed scheme is based on two hard problems on braid group, conjugacy search problem and p-th root problem on braid group. We also checked the one-wayness, semantic security and efficiency of our proposed scheme, and found it to be computationally secured
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El-Ghoul, M., and M. M. Al-Shamiri. "Retraction of Braid and Braid Group." Asian Journal of Algebra 1, no. 1 (December 15, 2007): 1–9. http://dx.doi.org/10.3923/aja.2008.1.9.

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El-Ghoul, M., and M. M. Al-Shamiri. "Retraction of Braid and Braid Group*." Asian Journal of Algebra 3, no. 1 (December 15, 2009): 8–16. http://dx.doi.org/10.3923/aja.2010.8.16.

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Bardakov, Valeriy G., Slavik Jablan, and Hang Wang. "Monoid and group of pseudo braids." Journal of Knot Theory and Its Ramifications 25, no. 09 (August 2016): 1641002. http://dx.doi.org/10.1142/s0218216516410029.

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Rodr�guez-Romo, Suemi. "Braid group symmetries." International Journal of Theoretical Physics 30, no. 11 (November 1991): 1403–8. http://dx.doi.org/10.1007/bf00675607.

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KAUFFMAN, LOUIS H., and SOFIA LAMBROPOULOU. "A CATEGORICAL MODEL FOR THE VIRTUAL BRAID GROUP." Journal of Knot Theory and Its Ramifications 21, no. 13 (October 24, 2012): 1240008. http://dx.doi.org/10.1142/s0218216512400081.

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This paper gives a new interpretation of the virtual braid group in terms of a strict monoidal category SC that is freely generated by one object and three morphisms, two of the morphisms corresponding to basic pure virtual braids and one morphism corresponding to a transposition in the symmetric group. The key to this approach is to take pure virtual braids as primary. The generators of the pure virtual braid group are abstract solutions to the algebraic Yang–Baxter equation. This point of view illuminates representations of the virtual braid groups and pure virtual braid groups via solutions
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Häring-Oldenburg, Reinhard. "Braid lift representations of Artin's Braid Group." Journal of Knot Theory and Its Ramifications 09, no. 08 (December 2000): 1005–9. http://dx.doi.org/10.1142/s0218216500000591.

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We recast the braid-lift representation of Contantinescu, Lüdde and Toppan in the language of B-type braid theory. Composing with finite dimensional representations of these braid groups we obtain various sequences of finite dimensional multi-parameter representations.
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Chang, Wonjun, Byung Chun Kim, and Yongjin Song. "An infinite family of braid group representations in automorphism groups of free groups." Journal of Knot Theory and Its Ramifications 29, no. 10 (August 5, 2020): 2042007. http://dx.doi.org/10.1142/s0218216520420079.

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The [Formula: see text]-fold ([Formula: see text]) branched coverings on a disk give an infinite family of nongeometric embeddings of braid groups into mapping class groups. We, in this paper, give new explicit expressions of these braid group representations into automorphism groups of free groups in terms of the actions on the generators of free groups. We also give a systematic way of constructing and expressing these braid group representations in terms of a new gadget, called covering groupoid. We prove that each generator [Formula: see text] of braid group inside mapping class group indu
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Fedoseev, Denis A., Vassily O. Manturov, and Zhiyun Cheng. "On marked braid groups." Journal of Knot Theory and Its Ramifications 24, no. 13 (November 2015): 1541005. http://dx.doi.org/10.1142/s0218216515410059.

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In this paper, we introduce [Formula: see text]-braids and, more generally, [Formula: see text]-braids for an arbitrary group [Formula: see text]. They form a natural group-theoretic counterpart of [Formula: see text]-knots, see [V. O. Manturov; Reidemeister moves and groups, preprint (2014), arXiv:1412.8691]. The underlying idea used in the construction of these objects — decoration of crossings with some additional information — generalizes an important notion of parity introduced by the second author (see [V. O. Manturov, Parity in knot theory, Sb. Math. 201(5) (2010) 693–733]) to different
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Dissertations / Theses on the topic "Braid group"

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Longrigg, Jonathan James. "Aspects of Braid group cryptography." Thesis, University of Newcastle Upon Tyne, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.492947.

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Franko, Jennifer M. "Braid group representations via the Yang Baxter equation." [Bloomington, Ind.] : Indiana University, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3278226.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2007.<br>Source: Dissertation Abstracts International, Volume: 68-09, Section: B, page: 5995. Advisers: Zhenghan Wang; Kent Orr. Title from dissertation home page (viewed May 9, 2008).
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Weinberger, Oskar. "The braid group, representations and non-abelian anyons." Thesis, KTH, Matematik (Inst.), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-167993.

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This bachelor’s thesis concerns unitary linear representations of the braid group, motivated by their connection to two dimensional particle statistics and certain quasi-particles called non-abelian anyons. Particle statistics in two dimensions is related to the braid group via the fundamental group of the configuration space of indistinguishable particles in two dimensions, and non-abelian anyons correspond to non-commutative unitary representations of the braid group. In the aim of understanding these connections and studying the mathematical possibilities for non-abelian anyons, algebraic a
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Cornwell, Christopher R. "On the Combinatorics of Certain Garside Semigroups." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1381.pdf.

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Puente, Philip C. "Crystallographic Complex Reflection Groups and the Braid Conjecture." Thesis, University of North Texas, 2017. https://digital.library.unt.edu/ark:/67531/metadc1011877/.

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Crystallographic complex reflection groups are generated by reflections about affine hyperplanes in complex space and stabilize a full rank lattice. These analogs of affine Weyl groups have infinite order and were classified by V.L. Popov in 1982. The classical Braid theorem (first established by E. Artin and E. Brieskorn) asserts that the Artin group of a reflection group (finite or affine Weyl) gives the fundamental group of regular orbits. In other words, the fundamental group of the space with reflecting hyperplanes removed has a presentation mimicking that of the Coxeter presentation;
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Henderson, Roger William. "Cryptanalysis of braid group cryptosystem and related combinatorial structures." Thesis, Royal Holloway, University of London, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.440519.

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Sweeney, Andrew. "A Study of Topological Invariants in the Braid Group B2." Digital Commons @ East Tennessee State University, 2018. https://dc.etsu.edu/etd/3407.

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The Jones polynomial is a special topological invariant in the field of Knot Theory. Created by Vaughn Jones, in the year 1984, it is used to study when links in space are topologically different and when they are topologically equivalent. This thesis discusses the Jones polynomial in depth as well as determines a general form for the closure of any braid in the braid group B2 where the closure is a knot. This derivation is facilitated by the help of the Temperley-Lieb algebra as well as with tools from the field of Abstract Algebra. In general, the Artin braid group Bn is the set of braids on
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Penrod, Keith G. "Infinite Product Group." BYU ScholarsArchive, 2007. https://scholarsarchive.byu.edu/etd/976.

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The theory of infinite multiplication has been studied in the case of the Hawaiian earring group, and has been seen to simplify the description of that group. In this paper we try to extend the theory of infinite multiplication to other groups and give a few examples of how this can be done. In particular, we discuss the theory as applied to symmetric groups and braid groups. We also give an equivalent definition to K. Eda's infinitary product as the fundamental group of a modified wedge product.
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East, James Phillip Hinton. "On Monoids Related to Braid Groups and Transformation Semigroups." School of Mathematics and Statistics, 2006. http://hdl.handle.net/2123/2438.

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East, James Phillip Hinton. "On Monoids Related to Braid Groups and Transformation Semigroups." Thesis, The University of Sydney, 2005. http://hdl.handle.net/2123/2438.

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Books on the topic "Braid group"

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Todorov, Ivan T. Quantum groups and braid group statistics in conformal current algebra models. Vitória, Brazil: Editora da Universidade Federal do Espírito Santo, 2010.

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service), SpringerLink (Online, ed. Introduction to complex reflection groups and their braid groups. Berlin: Springer, 2010.

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2-knots and their groups. Cambridge [England]: Cambridge University Press, 1989.

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Murasugi, Kunio. A Study of Braids. Dordrecht: Springer Netherlands, 1999.

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Kassel, Christian, and Vladimir Turaev. Braid Groups. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-68548-9.

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Fröhlich, Jürg. Quantum groups, quantum categories, and quantum field theory. Berlin: Springer-Verlag, 1993.

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S, Rosenberg Robin, ed. Introducing psychology: Brain, person, group. 4th ed. Boston: Allyn & Bacon, 2011.

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Broué, Michel. Introduction to Complex Reflection Groups and Their Braid Groups. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11175-4.

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Saito, K. Semi-algebraic geometry of braid groups. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2005.

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Havard, Cody T. Intense Group Behavior and Brand Negativity. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-23456-9.

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Book chapters on the topic "Braid group"

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Murasugi, Kunio, and Bohdan I. Kurpita. "The braid group." In A Study of Braids, 11–30. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9319-9_2.

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Rehren, K. H. "Braid Group Statistics." In Geometry and Theoretical Physics, 141–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-76353-3_4.

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Lusztig, George. "Braid Group Relations." In Introduction to Quantum Groups, 304–17. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4717-9_39.

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Jackson, David M., and Iain Moffatt. "Braids and the Braid Group." In CMS Books in Mathematics, 49–59. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-05213-3_4.

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Murasugi, Kunio, and Bohdan I. Kurpita. "Quotient groups of the braid group." In A Study of Braids, 74–95. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9319-9_5.

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Fenn, Roger, Richárd Rimányi, and Colin Rourke. "Some Remarks on the Braid-Permutation Group." In Topics in Knot Theory, 57–68. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-1695-4_5.

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Fröhlich, Jürg, and Thomas Kerler. "Local quantum theory with braid group statistics." In Lecture Notes in Mathematics, 17–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/bfb0084246.

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Jantzen, Jens. "Braid group actions and PBW type basis." In Lectures on Quantum Groups, 141–72. Providence, Rhode Island: American Mathematical Society, 1995. http://dx.doi.org/10.1090/gsm/006/11.

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Myasnikov, Alexei, Vladimir Shpilrain, and Alexander Ushakov. "Random Subgroups of Braid Groups: An Approach to Cryptanalysis of a Braid Group Based Cryptographic Protocol." In Public Key Cryptography - PKC 2006, 302–14. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11745853_20.

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Ge, M. L., F. Piao, L. Y. Wang, and K. Xue. "Witten’s Approach, Braid Group Representations and X-Deformations." In Nonlinear Physics, 152–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84148-4_17.

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Conference papers on the topic "Braid group"

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Ranjan, Pratik, and Hari Om. "Braid groups based group signature scheme." In 2015 4th International Conference on Reliability, Infocom Technologies and Optimization (ICRITO) (Trends and Future Directions). IEEE, 2015. http://dx.doi.org/10.1109/icrito.2015.7359230.

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OOTSUKA, TAKAYOSHI, and KAZUHIRO SAKUMA. "BRAID GROUP AND TOPOLOGICAL QUANTUM COMPUTING." In Summer School on Mathematical Aspects of Quantum Computing. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812814487_0002.

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Aziz, Ryan Kasyfil, and Intan Muchtadi-Alamsyah. "Braid group representation on quantum computation." In THE 5TH INTERNATIONAL CONFERENCE ON MATHEMATICS AND NATURAL SCIENCES. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930633.

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Kauffman, Louis H. "Majorana fermions and representations of the artin braid group." In Quantum Information Science, Sensing, and Computation X, edited by Michael Hayduk and Eric Donkor. SPIE, 2018. http://dx.doi.org/10.1117/12.2305473.

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Kauffman, Louis H., and Samuel J. Lomonaco, Jr. "Topological quantum computing and SU (2) braid group representations." In SPIE Defense and Security Symposium, edited by Eric J. Donkor, Andrew R. Pirich, and Howard E. Brandt. SPIE, 2008. http://dx.doi.org/10.1117/12.778068.

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Cohen, F. R., and J. Pakianathan. "The stable braid group and the determinant of the Burau representation." In International Conference in Homotopy Theory. Mathematical Sciences Publishers, 2007. http://dx.doi.org/10.2140/gtm.2007.10.117.

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Li, Shouwei, and Qiang Mei. "Public-key coding system based on grey generation and Braid group." In 2011 International Conference on Grey Systems and Intelligent Services (GSIS 2011). IEEE, 2011. http://dx.doi.org/10.1109/gsis.2011.6044147.

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WIECZOREK, K., and L. JACAK. "BRAID GROUP AND CONFIGURATION SPACE OF THE SYSTEM OF COMPOSITE FERMIONS." In Proceedings of the Sixth's International School of Theoretical Physics. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812811479_0020.

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Omine, Taisei, Yuki Morimoto, and Reiji Tsuruno. "Automatic Generation of a 3D Braid Hair Model from a Single Image." In SIGGRAPH '22: Special Interest Group on Computer Graphics and Interactive Techniques Conference. New York, NY, USA: ACM, 2022. http://dx.doi.org/10.1145/3532719.3543216.

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Wojcik, Casey, Kai Wang, Avik Dutt, Janet Zhong, and Shanhui Fan. "Eigenvalue Topology of Non-Hermitian Band Structures in Two and Three Dimensions." In CLEO: QELS_Fundamental Science. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/cleo_qels.2022.ff2c.2.

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In one dimension, eigenvalue topology of non-Hermitian photonic systems is classified by the braid group. Here, we give a complete description of the much richer eigenvalue topology in two and three dimensions.
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Reports on the topic "Braid group"

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Workman, Jane E., Seung-Hee Lee, and Kyangho Jung. Fashion Adoption Groups and Consumer-Brand Relationships. Ames: Iowa State University, Digital Repository, November 2015. http://dx.doi.org/10.31274/itaa_proceedings-180814-26.

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Shijani, Seyed Mohammad Malakooti, Sina Neshat, Hossein Shayestehyekta, and Milad Gorgani. Lance-Adams syndrome; what we know now. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, November 2022. http://dx.doi.org/10.37766/inplasy2022.11.0025.

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Review question / Objective: 1. In Lance-Adams syndrome, what is the effect of current therapeutic management on improving patients' condition compared with the control group? 2. Are EEG, Brain CT, MRI, and brain SPECT more accurate in diagnosing Lance-Adams syndrome? 3. Does Early diagnosis and treatment influence the quality of life in patients with Lance-Adams syndrome? 4. Are patients with abnormal cortical discharge or cerebellum brain stem and thalamus cortical circuit or neurotransmitter imbalance at higher risk for/of Lance-Adams syndrome compared with patients without these symptoms?
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Perlick, Deborah, Kristy S. Troster, Adrian Cristian, Katherine Taber, and Larry Tupler. Multi-Family Group Intervention for OEF/OIF Traumatic Brain Injury Survivors and Their Families. Fort Belvoir, VA: Defense Technical Information Center, October 2010. http://dx.doi.org/10.21236/ada549764.

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ERSHOVA, E., and S. KOSHEVENKO. PROJECT APPROACH IN THE BRANDING OF TERRITORIES. Science and Innovation Center Publishing House, 2021. http://dx.doi.org/10.12731/2070-7568-2021-10-5-3-66-71.

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The article is devoted to the formation and development of the brand of the territory. The authors propose for consideration a model of territorial branding based on a project approach. Brand building is viewed as a project with initiation, planning, implementation and completion phases. The authors point to the need to identify groups of stakeholders, a detailed analysis of the target audience, building a communication strategy and focusing projects in the field of territorial branding on the formation of the product portfolio of the region.
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Mattheis, Ashley A. Atomwaffen Division and its Affiliates on Telegram: Variations, Practices, and Interconnections. RESOLVE Network, April 2022. http://dx.doi.org/10.37805/remve2022.1.

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This research brief details findings from a recent collaborative project exploring different groups related to Atomwaffen Division (AWD) on Telegram. The brief provides an initial foray into understanding the digital communicative practices these AWD-related groups use to maintain their loose structure as a transnational, digitally networked extremist culture. Groups affiliated with the meta-brand of AWD are continuing to develop globally and building a transnational, digital networked culture, despite increased scrutiny. This indicates that their structure as a digitally networked, transnatio
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Qian, Guoping, Xiaoye Cai, Kai Xu, Hao Tian, Qiao Meng, Zbigniew Ossowski, and Jinghong Liang. Which Gait Training Intervention Can Most Effectively Improve Gait Ability in Patients with Cerebral Palsy? A Systematic Review and Network Meta-Analysis. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, October 2022. http://dx.doi.org/10.37766/inplasy2022.10.0108.

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Review question / Objective: To help physiotherapists and clinicians make clinical decisions, they may wish to know, on average, "the optimal treatment", so a comprehensive and up-to-date systematic review should be conducted on the relative effectiveness of gait ability intervention programmes in patients with CP. Using NMA, this study aimed to evaluate and compare the effects of different approaches of gait training on gait ability in CP patients. The specific aim of this study was to verify the relative effectiveness of different gait interventions on the gait ability of people with CP. Con
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Kerrigan, Susan, Phillip McIntyre, and Marion McCutcheon. Australian Cultural and Creative Activity: A Population and Hotspot Analysis: Geelong and Surf Coast. Queensland University of Technology, 2020. http://dx.doi.org/10.5204/rep.eprints.206969.

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Geelong and the Surf Coast are treated here as one entity although there are marked differences between the two communities. Sitting on the home of the Wathaurong Aboriginal group, this G21 region is geographically diverse. Geelong serviced a wool industry on its western plains, while manufacturing and its seaport past has left it as a post-industrial city. The Surf Coast has benefitted from the sea change phenomenon. Both communities have fast growing populations and have benefitted from their proximity to Melbourne. They are deeply integrated with this major urban centre. The early establish
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Abufhele, Alejandra, David Bravo, Florencia Lopez-Boo, and Pamela Soto-Ramirez. Developmental losses in young children from pre-primary program closures during the COVID-19 pandemic. Inter-American Development Bank, January 2022. http://dx.doi.org/10.18235/0003920.

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The learning and developmental losses from pre-primary program closures due to COVID-19 may be unprecedented. These disruptions early in life, when the brain is more sensitive to environmental changes, can be long-lasting. Although there is evidence about the effects of school closures on older children, there is currently no evidence on such losses for children in their early years. This paper is among the first to quantify the actual impact of pandemic-related closures on child development, in this case for a sample of young children in Chile, where school and childcare closures lasted for a
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Bacharach, Eran, W. Ian Lipkin, and Avigdor Eldar. Identification of the etiological agent of tilapia disease in the Lake of Galillee. United States Department of Agriculture, January 2013. http://dx.doi.org/10.32747/2013.7597932.bard.

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Background to the topic. Tilapines serve as the second most important group of farmed fish worldwide. Massive mortality of wild and cultured tilapia has been observed recently in Israel but the pathogen of this disease has not been identified. We proposed to identify the agent responsible for disease.  Major conclusions, solutions, achievements. We characterized the lesions in diseased fish and found that the brain was one of the affected organs. We found conditions to isolate from brains of diseased fish the etiological agent of the tilapia disease and to propagate it in cell culture. This l
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Newman-Toker, David E., Susan M. Peterson, Shervin Badihian, Ahmed Hassoon, Najlla Nassery, Donna Parizadeh, Lisa M. Wilson, et al. Diagnostic Errors in the Emergency Department: A Systematic Review. Agency for Healthcare Research and Quality (AHRQ), December 2022. http://dx.doi.org/10.23970/ahrqepccer258.

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Objectives. Diagnostic errors are a known patient safety concern across all clinical settings, including the emergency department (ED). We conducted a systematic review to determine the most frequent diseases and clinical presentations associated with diagnostic errors (and resulting harms) in the ED, measure error and harm frequency, as well as assess causal factors. Methods. We searched PubMed®, Cumulative Index to Nursing and Allied Health Literature (CINAHL®), and Embase® from January 2000 through September 2021. We included research studies and targeted grey literature reporting diagnosti
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