Academic literature on the topic 'Knot categories'

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Journal articles on the topic "Knot categories"

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Barszcz, Anna, Anna Sandak, and Jakub Sandak. "Knottiness of spruce stems from the Dolomites as the basis for distinguishing quality zones in roundwood." Folia Forestalia Polonica, Series A - Forestry 52(2) (July 1, 2010): 89–97. https://doi.org/10.5281/zenodo.30610.

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The study was conducted on 9 sample of Norway spruce [Picea abies (L.) Karst] trees, aged 150 years, from three upper subalpine stands in the region of the Dolomites. The knots were classified into three categories of healthiness and three categories of intergrowth with the surrounding wood. Differences in diameters and relative diameters of knots classified into three categories of healthiness and three categories of intergrowth with the surrounding wood was shown on a merchantable bole divided into 10 equal sections. The frequency of occurrence of knots under the analysed categories was the
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Niebrzydowski, Maciej. "Categories of diagrams with irreversible moves." Journal of Knot Theory and Its Ramifications 27, no. 03 (2018): 1840006. http://dx.doi.org/10.1142/s0218216518400060.

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We work with a generalization of knot theory, in which one diagram is reachable from another via a finite sequence of moves if a fixed condition regarding the existence of certain morphisms in an associated category is satisfied for every move of the sequence. This conditional setting leads to a possibility of irreversible moves, terminal states, and to using functors more general than the ones used as knot invariants. Our main focus is the category of diagrams with a binary relation on the set of arcs, indicating which arc can move over another arc. We define homology of binary relations, and
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Yettera, David N. "Quantum groups and representations of monoidal categories." Mathematical Proceedings of the Cambridge Philosophical Society 108, no. 2 (1990): 261–90. http://dx.doi.org/10.1017/s0305004100069139.

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This paper is intended to make explicit some aspects of the interactions which have recently come to light between the theory of classical knots and links, the theory of monoidal categories, Hopf-algebra theory, quantum integrable systems, the theory of exactly solvable models in statistical mechanics, and quantum field theories. The main results herein show an intimate relation between representations of certain monoidal categories arising from the study of new knot invariants or from physical considerations and quantum groups (that is, Hopf algebras). In particular categories of modules and
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Cautis, Sabin, and Joel Kamnitzer. "Knot homology via derived categories of coherent sheaves IV, coloured links." Quantum Topology 8, no. 2 (2017): 381–411. http://dx.doi.org/10.4171/qt/93.

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Lee, I. J., and D. N. Yetter. "Dijkgraaf–Witten type invariants of Seifert surfaces in 3-manifolds." Journal of Knot Theory and Its Ramifications 26, no. 05 (2017): 1750026. http://dx.doi.org/10.1142/s0218216517500262.

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We introduce defects, with internal gauge symmetries, on a knot and Seifert surface to a knot into the combinatorial construction of finite gauge-group Dijkgraaf–Witten theory. The appropriate initial data for the construction are certain three object categories, with coefficients satisfying a partially degenerate cocycle condition.
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TURAEV, VLADIMIR G. "MODULAR CATEGORIES AND 3-MANIFOLD INVARIANTS." International Journal of Modern Physics B 06, no. 11n12 (1992): 1807–24. http://dx.doi.org/10.1142/s0217979292000876.

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The aim of this paper is to give a concise introduction to the theory of knot invariants and 3-manifold invariants which generalize the Jones polynomial and which may be considered as a mathematical version of the Witten invariants. Such a theory was introduced by N. Reshetikhin and the author on the ground of the theory of quantum groups. Here we use more general algebraic objects, specifically, ribbon and modular categories. Such categories in particular arise as the categories of representations of quantum groups. The notion of modular category, interesting in itself, is closely related to
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Cautis, Sabin, and Joel Kamnitzer. "Knot homology via derived categories of coherent sheaves II, $\mathfrak{sl}_{m}$ case." Inventiones mathematicae 174, no. 1 (2008): 165–232. http://dx.doi.org/10.1007/s00222-008-0138-6.

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Cautis, Sabin, and Joel Kamnitzer. "Knot homology via derived categories of coherent sheaves, I: The $\mathfrak{sl}(2)$ -case." Duke Mathematical Journal 142, no. 3 (2008): 511–88. http://dx.doi.org/10.1215/00127094-2008-012.

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Eken, Cafer, Gülsüm Uysal, Dudu Demir, Selda Çalişkan, Emre Sevindik, and Kardelen Çağlayan. "Use of Arthrobotrys spp. in biocontrol of the root-knot nematode Meloidogyne incognita." European Journal of Biological Research 13, no. 3 (2023): 173–80. https://doi.org/10.5281/zenodo.10015641.

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Plant parasitic nematodes are well-known and devastating pathogens of many agricultural crops around the world. Among the plant phytoparasitic, root-knot nematodes (<i>Meloidogyne</i> spp.) are the economically important limiting factors in agricultural productivity and the quality of crops. One of the most destructive species of root-knot nematodes is <i>Meloidogyne incognita</i> among the most important plant pests which cause severe problems in economically important crops such as vegetables, fruits, and ornamental plants. Root-knot nematodes can be managed by resistant cultivars, crop rota
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Hrabovsky, Serhiy. "THE CRIMEAN CONFLICTING KNOT: COLONIAL DIMENSIONS." Almanac of Ukrainian Studies, no. 25 (2019): 54–60. http://dx.doi.org/10.17721/2520-2626/2019.25.9.

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The article is devoted to outlining and exploring a number of important stories of the history and present situation of the Crimea. The author turns to the study of Russian colonial policy on the peninsula. This policy resulted in the annihilation of the Crimean Tatar people and the deliberate settlement of Crimea by specific categories of population from "mainland" Russia, and subsequently - from Soviet Ukraine. The colonial pressure of the tsarist authorities was changed after 1917 for a short period with the assertion of Crimean Tatar national communism as a modernizing anti-colonial moveme
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Dissertations / Theses on the topic "Knot categories"

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Badgett, Jeanne Oakes. "AN EVALUATION OF THE QUALITY OF MENS 100% COTTON JERSEY KNIT T-SHIRTS REPRESENTING THREE RETAIL CATEGORIES." UKnowledge, 2017. http://uknowledge.uky.edu/mat_etds/13.

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The purpose of this research was to evaluate the quality of design, materials, construction, appearance, and performance of mens 100% cotton jersey knit t-shirts from three retail categories: mass merchant, fast fashion, and better. These retail categories were represented by brands Fruit of the Loom, H&M, and Brooks Brothers, respectively. A convenience sample was comprised of 78 t-shirts. 13 white and 13 navy t-shirts from each brand were used for testing according to ASTM and AATCC standards and specifications. Evaluations and measurements were conducted before washing, and after one, five,
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Marshall, Lindsay E. "Everything I know I learned in preschool a look at how three-to-five year-olds categorize foods into food groups /." 2008. http://purl.galileo.usg.edu/uga%5Fetd/marshall%5Flindsay%5Fe%5F200812%5Fms.

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Books on the topic "Knot categories"

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Kassel, Christian. Quantum groups and knot invariants. Société mathématique de France, 1997.

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

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Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations, and Topological Invariants. World Scientific Publishing Co Pte Ltd, 2001.

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Functorial Knot Theory: Categories of Tangles, Coherence, Categorical Deformations, and Topological Invariants. Series on Knots and Everything, Volume 26. World Scientific Publishing Co Pte Ltd, 2001.

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Heunen, Chris, and Jamie Vicary. Categories for Quantum Theory. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198739623.001.0001.

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Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition and a conceptual way to understand many high-level quantum phenomena. Here, we lay the foundations for this categorical quantum mechanics, with an emphasis on the graphical calculus that makes computation intuitive. We describe superposition and entanglement using biproducts and dual objects, and show how quantum teleportation can be studied abstractly using these structures. We investigate monoids, Frobenius structures an
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Colored operads. American Mathematical Society, 2016.

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Bradley, Bridgette. 10 Things You Need to Know Before You Adopt: Please Update the Book Categories. Independently Published, 2020.

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1,501 Things to Know about Fun Facts: In Different Categories - for Young and Old - Large Print. Independently Published, 2022.

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What you need to know about me: How to organize your important categories of personal information for those who will need to know. Plan Ahead Press, 1996.

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Studios, Vismont. Follow Your Dreams They Know the Way - Discreet Password Organizer Book: Simple and Discreet Password Book with Alphabetical Categories to Write Internet Passwords for Adults - Women. Independently Published, 2020.

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Book chapters on the topic "Knot categories"

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Geier, Thomas, Magnus Frank, Laura Schalück, and Dorothea Schmidt. "Getting to Know Islam?—Diversity Categories in the Production of Ethnographic Knowledge." In Ethnography and Diversity. Springer Fachmedien Wiesbaden, 2025. https://doi.org/10.1007/978-3-658-47168-2_11.

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van Lieshout, Jan, and Robert Beeres. "Economics of Arms Trade: What Do We Know?" In NL ARMS. T.M.C. Asser Press, 2021. http://dx.doi.org/10.1007/978-94-6265-471-6_2.

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AbstractTaking an economic perspective, and underpinned by a literature review, this chapter analyses the development of explicit sets of relationships between dependent and independent variables in the international arms trade from 1995 onwards. We distinguish five main categories within the markets of military and dual-use goods and services, comprising weapons of mass destruction, major weapon systems, small arms and light weapons, dual-use goods, and services. Per category, papers are ordered by research type and methodology. Based on our findings thus far, the final section of the chapter
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Setyawan, Andhy, and Fandy Tjiptono. "“I Know What You Did During the Pandemic”." In Proceedings of the 19th International Symposium on Management (INSYMA 2022). Atlantis Press International BV, 2022. http://dx.doi.org/10.2991/978-94-6463-008-4_95.

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AbstractAlthough it is not the only pandemic in human history, the Covid-19 has had severe negative long-term impacts and disruptions on business and consumer behavior. The rapid and deadly transmission of Covid-19 has caused various individual responses in social interactions and personal activities. This study aims to examine how individuals have responded to the Covid-19 outbreak. Based on the Exploratory Factor Analysis (EFA) of 400 respondents, consumer behavioral actions during the Covid-19 pandemic can be classified into four categories. The typology includes (1) Complying Behavior; (2)
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Loke, Andrew. "Fine-Tuning and Order of our Universe." In The Teleological and Kalam Cosmological Arguments Revisited. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-94403-2_4.

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AbstractVarious properties of the universe have been suggested as indicative of the work of ‘a designer’. I focus on two such properties: ‘fine-tuning’ and ‘the existence of orderly patterns of events which can be described by advanced mathematics’. While various forms of design inference have been suggested, for example, analogical, Bayesian, likelihoodist, and abductive, sceptics such as Roger Penrose objected that there could be alternative explanations which we still do not know of, while appealing to God can be used to solve any problem, so it is not helpful. This concern can be addressed
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Čtvrtník, Mikuláš. "The Right to (Not) Be Forgotten, Right to Know, and Model of Four Categories of the Right to Be Forgotten." In Archives and Records. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-18667-7_5.

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AbstractBoth at the level of the most basic civil and democratic rights declared at the constitutional level and specifically in the field of archiving, there has long been a fundamental tension between two principles: On the one hand, it is the right to the protection of personality, privacy, and the private sphere, specifically expressed also in the form of the right to protection of personal data and restriction of their disclosure. On the other hand, there is the right of access to information, freedom of inquiry, and similar rights, which can be summarised under the common denominator of
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"Categories of Tangles." In Functorial Knot Theory. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810465_0007.

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"More About Monoidal Categories." In Functorial Knot Theory. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810465_0005.

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"Extrinsic Deformations of Monoidal Categories." In Functorial Knot Theory. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810465_0018.

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"Monoidal Categories, Functors and Natural Transformations." In Functorial Knot Theory. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810465_0003.

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"Deformation Complexes of Semigroupal Categories and Functors." In Functorial Knot Theory. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810465_0013.

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Conference papers on the topic "Knot categories"

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Mandru, Andreea, Liliana Rusu, and Florin Pacuraru. "ROUGHNESS EFFECT ON A FULL-SCALE GENERAL CARGO VESSEL TOTAL RESISTENCE AND EFFECTIVE POWER." In 24th SGEM International Multidisciplinary Scientific GeoConference 24. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/4.1/s17.25.

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The roughness of a ship�s hull can have a significant impact on the environment, primarily through its effect on the ship�s fuel consumption and, consequently, carbon emissions. The resistance a ship encounters as it moves through the water can be broadly categorized into two main types: frictional resistance and wave-making resistance. Hull roughness increases frictional resistance, also known as skin friction resistance. This resistence component is a major aspect of the total resistance of a merchant ship, leading to increased power and fuel consumption. The present study aims to systematic
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Webster, Ben. "An introduction to categorifying quantum knot invariants." In Low-dimensional manifolds and high-dimensional categories -- A conference in honor of Michael Hartley Freedman. Mathematical Sciences Publishers, 2012. http://dx.doi.org/10.2140/gtm.2012.18.253.

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Guirguis, David, Mohamed Aly, Karim Hamza, and Hesham Hegazi. "Image Matching Assessment of Attainable Topology via Kriging-Interpolated Level-Sets." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-34622.

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Level-set methods are domain classification techniques that are gaining popularity in the recent years for structural topology optimization. Level sets classify a domain into two or more categories (such as material and void) by examining the value of a scalar level-set function (LSF) defined in the entire design domain. In most level-set formulations, a large number of design variables, or degrees of freedom is used to define the LSF, which implicitly defines the structure. The large number of design variables makes non-gradient optimization techniques all but ineffective. Kriging-interpolate
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Gukov, Sergei, and Marko Stošić. "Homological algebra of knots and BPS states." In Low-dimensional manifolds and high-dimensional categories -- A conference in honor of Michael Hartley Freedman. Mathematical Sciences Publishers, 2013. http://dx.doi.org/10.2140/gtm.2012.18.309.

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Zarrieß, Sina, and David Schlangen. "Know What You Don’t Know: Modeling a Pragmatic Speaker that Refers to Objects of Unknown Categories." In Proceedings of the 57th Annual Meeting of the Association for Computational Linguistics. Association for Computational Linguistics, 2019. http://dx.doi.org/10.18653/v1/p19-1063.

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Schyns, Philippe G., and Heinrich H. Bulthoff. "Extracting transformable parts from object categories." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.thvv4.

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When people have to extract parts from a new category of objects, where they do not know the shape of the parts, they must extract shape from the raw data. If the parts composing the objects transform from one instance to another, part extraction is difficult because any part could potentially correspond to any other part in the object category. However, our perceptual apparatus rules out many correspondences. We investigated the role of sign of curvature in part extraction in categories of 2D B-spline stimuli. Subjects were exposed to one category of objects composed of a random and a target
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Sansone Casaburi, Sonia. "INNOVACIÓN RURAL. Categorías de pueblos innovadores en el contexto rural europeo." In Seminario Internacional de Investigación en Urbanismo. Universitat Politècnica de Catalunya, Grup de Recerca en Urbanisme, 2022. http://dx.doi.org/10.5821/siiu.12044.

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This paper is part of the PhD thesis on European rural depopulation, whose focus is to make visible the innovations that occur in this environment, and use them as an input to revitalize other towns. Measurement parameters in relation to rural innovation are scarce, so they are "built" following the steps: categorization, conceptualization, sizing, indicators and indices. The scope of this article is the categorization and conceptualization of rural innovations. Starting from the hypothesis "Knowing the individual strengths of innovative peoples, will allow their categorization", it is establi
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Varga-Balogh, Adrienn, Ádám Leelőssy, and Róbert Mészáros. "Identifying Precipitation Types From Surface Meteorological Variables With Machine Learning." In Air and Water – Components of the Environment 2025 Conference Proceedings. Casa Cărţii de Ştiinţă, 2025. https://doi.org/10.24193/awc2025_10.

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Precipitation type prediction is crucial for various sectors, including aviation, agriculture, and public safety. For instance, freezing rain and sleet can severely disrupt transportation, while heavy rainfall may lead to flash floods. Using METAR weather reports, we sought to classify precipitation types based on surface variables such as temperature (°C), dew point deficit (°C), wind speed (knots). The dataset was divided into training and testing subsets. Known precipitation types in the training set allowed us to fit classifying algorithms. We evaluated several classification models. The k
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Tommasi, Tatiana, and Barbara Caputo. "The more you know, the less you learn: from knowledge transfer to one-shot learning of object categories." In British Machine Vision Conference 2009. British Machine Vision Association, 2009. http://dx.doi.org/10.5244/c.23.80.

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Nawel, Researcher BRAHIMI, and Dr MOUATS Nadia. "THE BODY AND THE TENSIONS OF SOCIAL IDENTITY IN THE CONTEMPORARY ALGERIAN NOVEL: A GENDER READING IN THE NOVEL “THE PASSION OF AN EASTERN FEMININE” BY FATIMA ZAHRAA BATTOUSH." In I. International Century Congress for Social Sciences. Rimar Academy, 2024. http://dx.doi.org/10.47832/soci.con1-17.

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The body then establishes a social subject for human stations through its long journey, and for the life of the individual, an anthropology, as it - the body - is the most prominent factor in construction and social classification, as it shows the perception of the social structures of the behavior of the individual and the group, and the various classifications that individuals occupy within the categories of society, which help to Comparing gender, starting from the principle of similarity and difference, all the way to achieving specificity and establishing belonging, which confronts the ca
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Reports on the topic "Knot categories"

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Flôres Jr., Renato G. The Entrance to the European Union of 10 New Countries: Consequences for the Relations with MERCOSUR. Inter-American Development Bank, 2005. http://dx.doi.org/10.18235/0008678.

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The impact of the May 2004 enlargement is not, in overall terms, something to worry MERCOSUR decision makers and economic agents. However, this globally non-menacing picture raises, at a closer look, a few concerns demanding pre-emptive policy measures. We shall separate the concerns into five categories, close to the project¿s main questions: concerning the impact of the enlargement on the European (15) market; concerning MERCOSUR gains in the enlarged European market; concerning the new entrants gains in the MERCOSUR market; concerning the effects on the "agricultural knot"; the enlargement
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Rekawek, Kacper. Surveillance and Protection- Insights from the Czech Republic, Poland, and Slovakia. International Centre for Counter Terrorism, 2025. https://doi.org/10.19165/2025.3263.

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Protection systems in Central-Eastern Europe (CEE) are different from the Dutch system. They are older and initially, i.e., pre-World War II, were built to counter the threat of politically motivated violence. Post-1989, it changed to threats from organised crime, and since the 2010s, it is changing again towards countering politically motivated acts. Each of the three systems had its own turning points – be it 2010/2018 or 2024. These energised the systems and spurred them into action, but often this is happening in a “we should have seen it coming” fashion. The most obvious case of this is S
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