Relevant bibliographies by topics / Simplicial map

Contents

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

Academic literature on the topic 'Simplicial map'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Simplicial map"

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Po�naru, V. "nondegenerate simplicial map." Duke Mathematical Journal 63, no. 2 (1991): 421–29. http://dx.doi.org/10.1215/s0012-7094-91-06318-0.

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Paluzo-Hidalgo, Eduardo, Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo, and Jónathan Heras. "Optimizing the Simplicial-Map Neural Network Architecture." Journal of Imaging 7, no. 9 (2021): 173. http://dx.doi.org/10.3390/jimaging7090173.

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Simplicial-map neural networks are a recent neural network architecture induced by simplicial maps defined between simplicial complexes. It has been proved that simplicial-map neural networks are universal approximators and that they can be refined to be robust to adversarial attacks. In this paper, the refinement toward robustness is optimized by reducing the number of simplices (i.e., nodes) needed. We have shown experimentally that such a refined neural network is equivalent to the original network as a classification tool but requires much less storage.
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Paluzo-Hidalgo, Eduardo, Rocio Gonzalez-Diaz, Miguel A. Gutiérrez-Naranjo, and Jónathan Heras. "Simplicial-Map Neural Networks Robust to Adversarial Examples." Mathematics 9, no. 2 (2021): 169. http://dx.doi.org/10.3390/math9020169.

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Broadly speaking, an adversarial example against a classification model occurs when a small perturbation on an input data point produces a change on the output label assigned by the model. Such adversarial examples represent a weakness for the safety of neural network applications, and many different solutions have been proposed for minimizing their effects. In this paper, we propose a new approach by means of a family of neural networks called simplicial-map neural networks constructed from an Algebraic Topology perspective. Our proposal is based on three main ideas. Firstly, given a classifi
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Dupont, Johan L., and Rune Ljungmann. "Integration of simplicial forms and Deligne cohomology." MATHEMATICA SCANDINAVICA 97, no. 1 (2005): 11. http://dx.doi.org/10.7146/math.scand.a-14961.

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We present two approaches to constructing an integration map along the fiber for smooth Deligne cohomology. The first is defined in the simplicial model, where a class in Deligne cohomology is represented by a simplicial form, and the second in a related but more combinatorial model .
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Jardine, J. F. "Model structures for pro-simplicial presheaves." Journal of K-theory 7, no. 3 (2011): 499–525. http://dx.doi.org/10.1017/is011003012jkt149.

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AbstractThis paper displays model structures for the category of pro-objects in simplicial presheaves on an arbitrary small Grothendieck site. The first of these is an analogue of the Edwards-Hastings model structure for pro-simplicial sets, in which the cofibrations are monomorphisms and the weak equivalences are specified by comparisons of function complexes. Other model structures are built from the Edwards-Hastings structure by using Bousfield-Friedlander localization techniques. There is, in particular, an n-type structure for pro-simplicial presheaves, and also a model structure in which
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Scoville, Nicholas A., and Willie Swei. "On the Lusternik–Schnirelmann category of a simplicial map." Topology and its Applications 216 (February 2017): 116–28. http://dx.doi.org/10.1016/j.topol.2016.11.015.

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Robbin, Joel W., and Dietmar A. Salamon. "Lyapunov maps, simplicial complexes and the Stone functor." Ergodic Theory and Dynamical Systems 12, no. 1 (1992): 153–83. http://dx.doi.org/10.1017/s0143385700006647.

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AbstractLet be an attractor network for a dynamical system ft: M → M, indexed by the lower sets of a partially ordered set P. Our main theorem asserts the existence of a Lyapunov map ψ:M → K(P) which defines the attractor network. This result is used to prove the existence of connection matrices for discrete-time dynamical systems.
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Saneblidze, Samson. "On the construction of a covering map." Georgian Mathematical Journal 26, no. 2 (2019): 303–9. http://dx.doi.org/10.1515/gmj-2019-2016.

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Abstract Let {Y=\lvert X\rvert} be the geometric realization of a path-connected simplicial set X, and let {G=\pi_{1}(X)} be the fundamental group. Given a subgroup {H\subset G} , let {G/H} be the set of cosets. Using the combinatorial model {\boldsymbol{\Omega}X\to\mathbf{P}X\to X} of the path fibration {{\Omega}Y\to{P}Y\to Y} and a canonical action {\mu\colon\boldsymbol{\Omega}X\times G/H\to G/H} , we construct a covering map {G/H\to Y_{H}\to Y} as the geometric realization of the associated short sequence {G/H\to\mathbf{P}X\times_{\mu}G/H\to X} . This construction, in particular, does not u
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Saliieva, Olha, and Yurii Yaremchuk. "INVESTIGATION OF CHANGES IN THE LEVEL OF NETWORK SECURITY BASED ON A COGNITIVE APPROACH." Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska 14, no. 4 (2024): 82–85. https://doi.org/10.35784/iapgos.6719.

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A study was conducted on the impact of the most significant threats on the level of network security based on the examination of impulse processes on a fuzzy cognitive map. A topological analysis of the structure of the cognitive map was performed, simplicial complexes were constructed, and their structural vectors were determined. Based on the obtained data, a set of control and target concepts of the fuzzy cognitive map was formed, and the relationships between these concepts within the simplicial complexes were established. Taking this information into account, a study was conducted on the
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Batko, Bogdan, Tomasz Kaczynski, Marian Mrozek, and Thomas Wanner. "Linking Combinatorial and Classical Dynamics: Conley Index and Morse Decompositions." Foundations of Computational Mathematics 20, no. 5 (2020): 967–1012. http://dx.doi.org/10.1007/s10208-020-09444-1.

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Abstract We prove that every combinatorial dynamical system in the sense of Forman, defined on a family of simplices of a simplicial complex, gives rise to a multivalued dynamical system F on the geometric realization of the simplicial complex. Moreover, F may be chosen in such a way that the isolated invariant sets, Conley indices, Morse decompositions and Conley–Morse graphs of the combinatorial vector field give rise to isomorphic objects in the multivalued map case.
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Dissertations / Theses on the topic "Simplicial map"

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Brigandì, Camilla. "Utilizzo della omologia persistente nelle reti neurali." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2022.

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Lo scopo di questa tesi è quello di introdurre alcune applicazioni della topologia algebrica, e in particolare della teoria dell’omologia persistente, alle reti neurali. A tal fine, nel primo capitolo dell’elaborato vengono introdotti i concetti di neurone e rete neurale artificiale. Viene posta particolare attenzione sull’addestramento di una rete, spiegando anche delle problematiche e delle caratteristiche ad esso legate, come il problema dell’overfitting e la capacità di generalizzazione. All’interno dello stesso capitolo vengono anche esposti il concetto di similarità tra due reti e il con
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Салієва, Ольга Володимирівна. "Моделі та засоби оцінювання рівня захищеності систем захисту інформації на основі когнітивного моделювання". Diss., Вінницький національний технічний університет, 2021. https://ena.lpnu.ua/handle/ntb/56773.

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Ullmann, Mark [Verfasser]. "Controlled algebra for simplicial rings and the algebraic K-theory assembly map / vorgelegt von Mark Ullmann." 2010. http://d-nb.info/1013026217/34.

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Books on the topic "Simplicial map"

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Mitchell, Jann. Love sweeter love: Creating relationships of simplicity and spirit. Beyond Words Pub., 1998.

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Sundeen, Mark. The man who quit money. Riverhead Books, 2012.

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Siegwalt, Gérard. Le défi monothéiste: Le Dieu vivant, le mal, la mystique. Les Éditions du Cerf, 2015.

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Gilbert, Elizabeth. The last American man. Viking, 2002.

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Bailey, Joseph V. Slowing down to the speed of love: How to create a deeper, more fulfilling relationship in a hurried world. Contemporary Books, 2003.

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Publishing, Barbour. Prayer Map for Women [Simplicity]: A Creative Journal. Barbour Publishing, Incorporated, 2023.

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Mitchell, Jann, and Susan Jeffers. Love Sweeter Love: Creating Relationships of Simplicity and Spirit. Simon & Schuster, Limited, 2011.

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Ibrahim, Qasim ibn. Naqd al-Muslimin lil-thanawiyah wa-al-majus maa al-radd ala Ibn al-Muqaff (Rasail al-Imam al-Qasim ibn Ibrahim ibn Ismail al-Rassi). Dar al-Afaq al-Arabiyah, 2000.

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M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Buildings. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0001.

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This chapter assembles a few standard definitions, fixes some notation, and reviews a few of the results about buildings and Moufang polygons. It also summarizes the basic facts about Coxeter groups and buildings, including the fundamental properties of roots, residues, apartments, and projection maps. The chapter defines a Moufang building as spherical, thick, irreducible and of rank at least 2, and a Bruhat-Tits building as a thick irreducible affine building whose building at infinity is Moufang. Furthermore, it presents a fundamental result of Tits: that an irreducible thick spherical buil
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Elies, van Sliedregt. Part 3 Defences, 10 Mistake of Fact and Law. Oxford University Press, 2012. http://dx.doi.org/10.1093/acprof:oso/9780199560363.003.0010.

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This chapter focuses on the defence of mistake in Article 32 of the International Criminal Court Statute, which has been welcomed as a breakthrough and as reflecting an understanding of culpability that goes beyond the psychological-mental elements of intent or knowledge. Analysis, however, shows that the provision raises more questions than it answers and its added value may be doubted. The simplicity of its wording is deceiving and analysis requires understanding of the legal traditions that lie at its basis.
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Book chapters on the topic "Simplicial map"

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Heuts, Gijs, and Ieke Moerdijk. "Simplicial Operads and ∞-Operads." In Simplicial and Dendroidal Homotopy Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10447-3_14.

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AbstractIn this final chapter we fulfil one of the main promises of this book, namely we prove that the homotopy theory of ∞-operads is equivalent to that of simplicial (or topological) operads. To prepare for this, Sections 14.1 and 14.2 establish some rather classical material on the homotopy theory of simplicial categories, most of it going back to the work of Dwyer and Kan. Then in Section 14.3 we establish a model structure on the category of simplicial operads in which the weak equivalences are the fully faithful and essentially surjective maps (in an appropriate interpretation of those
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Heuts, Gijs, and Ieke Moerdijk. "Kan Conditions for Simplicial Sets." In Simplicial and Dendroidal Homotopy Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10447-3_5.

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AbstractIn this chapter we will define several important classes of simplicial sets and of maps between simplicial sets by extension and lifting conditions. These include the classical notions of Kan complexes and Kan fibrations, as well as the notion of inner Kan complex (or ∞-category). Kan complexes and Kan fibrations play a central role in homotopy theory and will therefore be of fundamental importance in Part II of this book.
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Heuts, Gijs, and Ieke Moerdijk. "Kan Conditions for Dendroidal Sets." In Simplicial and Dendroidal Homotopy Theory. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-10447-3_6.

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AbstractIn this chapterwe study extension conditions for dendroidal sets and lifting conditions for maps of dendroidal sets which parallel the conditions for simplicial sets of the previous chapter. The structure of this chapter follows the same plan to stress the analogy. The proofs of various pushout-product properties, which we develop in Section 6.3, become more technical in the case of dendroidal sets.
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Nichols, Ben. "White Supremacist Capitalist Patriarchy." In The Case for Reduction. ICI Berlin Press, 2022. http://dx.doi.org/10.37050/ci-25_14.

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This short essay offers thoughts on bell hooks’s use of the list form in the phrase ‘white supremacist capitalist patriarchy’. While this list suggests that the social forces it contains work together in one unified direction, we can also look to instances in which they pull in opposing directions. However, the function of the list may not be to faithfully map the complexities of social life, but, rather, in its reduction and simplicity, to enable us to believe that social transformation is possible.
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van der Leeuw, Sander. "Tipping Points Emerge in the Interaction Between Narrative and Reality." In Springer Climate. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-50762-5_2.

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AbstractThe paper considers narratives as dynamic memory banks and shifts understanding from emphasizing the origins of the present to the emergence of the present. In the construction of reality, imagined futures articulate with knowledge obtained in the past.In another inversion, rather than explain change and consider stability as the norm, it focuses on change as the norm and investigates the creation of stability to explain, for example, why our societies are so slow in acting on climate change.The creation of meaning is the result of an interaction between thinking and experience, like t
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Redvers, Nicole, and Kelly Menzel. "Transforming the Planetary Health Crisis Through an Indigenous Land-Based Meta-Narrative." In Sustainable Development Goals Series. Springer Nature Switzerland, 2024. https://doi.org/10.1007/978-3-031-53793-6_19.

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AbstractOur current biodiversity, pollution, climate change, and pandemic crises are deep and complex yet have similar underpinnings and a clear road map out. Indigenous Peoples have long asserted the importance of their enduring and dynamic relationship to ancestral lands, seas, waterways, and wildlife as a protective road map for people and the planet. As we are all dynamic beings with the potential for direct kinship relationships to all planetary elements ranging from the micro to the macro level, it leaves open the possibility of large-scale and emergent positive change. This means that a
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Navarro, Danielle, and David Foxcroft. "5. Drawing graphs." In Learning Statistics with jamovi. Open Book Publishers, 2025. https://doi.org/10.11647/obp.0333.05.

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This chapter explores the fundamental role of data visualisation in the analytical process, highlighting its dual purposes: as a tool for presenting information in an accessible and visually compelling manner, and as an aid to enhance understanding of the data during analysis. Beginning with an iconic example, the chapter revisits John Snow’s 1854 cholera map, illustrating the transformative power of effective visualisation in uncovering insights and driving impactful decisions. The discussion then transitions to practical guidance on creating graphs using the software jamovi, with an emphasis
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Waldhausen, Friedhelm, Bjørn Jahren, and John Rognes. "On simple maps." In Spaces of PL Manifolds and Categories of Simple Maps (AM-186). Princeton University Press, 2013. http://dx.doi.org/10.23943/princeton/9780691157757.003.0003.

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This chapter deals with simple maps of finite simplicial sets, along with some of their formal properties. It begins with a discussion of simple maps of simplicial sets, presenting a proposition for the conditions that qualify a map of finite simplicial sets as a simple map. In particular, it considers a simple map as a weak homotopy equivalence. Weak homotopy equivalences have the 2-out-of-3 property, which combines the composition, right cancellation and left cancellation properties. The chapter proceeds by defining some relevant terms, such as Euclidean neighborhood retract, absolute neighb
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Jonckheere, Edmond A. "Piecewise-Linear Nyquist Map." In Algebraic and Differential Topology of Robust Stability. Oxford University PressNew York, NY, 1997. http://dx.doi.org/10.1093/oso/9780195093018.003.0007.

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Abstract Computing the crossover amounts to solving the Nyquist equation f(p) = 0 + jO. Assuming this equation is defined over the polyhedron D × Ω, the natural approach to implement an ad hoc solution in the realm of finite computation is to map the vertex set {ai} of the domain D × Ω to the complex plane, ai↦ bi= f (ai), and then work with the piecewise-linear extension of the vertex transformation ai↦bi. A typical feature of the resulting map is that the image of a simplex is a convex polygon, so that this piecewise-linear extension is not, in general, simplicial. However, an attractive fea
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Jonckheere, Edmond A. "Cohomology." In Algebraic and Differential Topology of Robust Stability. Oxford University PressNew York, NY, 1997. http://dx.doi.org/10.1093/oso/9780195093018.003.0012.

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Abstract We quickly browse through simplicial cohomology and spend more time on the de Rham cohomology, a cohomology based on cochain groups of differential forms together with the exterior differential acting as coboundary operator. This latter cohomology theory, which is very well suited to study manifolds and Lie groups, will be instrumental to study the homotopy properties of the Nyquist map from the uncertainty to the return difference matrix viewed as an element of the Lie group GL(n i, C).
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Conference papers on the topic "Simplicial map"

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Chernisheva, Mariya, Ildar Urazmetov, Ruslan Ulengov, Liliya Yarullina, and Shavkat Sharipov. "GEOINFORMATION TECHNOLOGIES AS A MEANS OF DEVELOPING." In 24th SGEM International Multidisciplinary Scientific GeoConference 2024. STEF92 Technology, 2024. https://doi.org/10.5593/sgem2024/5.1/s22.93.

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Modern information educational technologies open up a wide range of opportunities for teachers of general education institutions to develop students' key competences in geography and ecology lessons. According to the federal state standard for geography, the requirements for subject outcomes of the geography course at the profile level should reflect the ability to work with geographic information systems. The existing level of information technology development allows geographic information systems to be adapted for use in the educational process at secondary school to develop students' spati
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ZHAN, HAISHENG, ZHENGUO DING, and LIHUA ZHOU. "SIMPLICIAL MULTI-COMPLEXES BASED PROGRESSIVE TRANSMISSION OF VECTOR MAP DATA." In Proceedings of the International Computer Congress 2004. World Scientific Publishing Company, 2004. http://dx.doi.org/10.1142/9789812702654_0108.

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Chen, Zi-Ru. "Simplicity." In CAADRIA 2009: Between Man and Machine? Integration, Intuition, Intelligence. CAADRIA, 2009. http://dx.doi.org/10.52842/conf.caadria.2009.361.

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Iwrey, Benjamin, and Paul K. Johnson. "Compressor Maps and Coupling: Symmetry, Geometry, and Universality." In ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/gt2022-83599.

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Abstract The predecessor of this paper (GT2021-60012) introduced the Symmetry (S’-) framework of compressor map representation. This framework exhibits a natural simplicity of expression in comparison with the common BETA framework, enables relatively simple coupling of an arbitrary number of maps in series, and posits a novel instability mechanism termed “snap equilibrium.” A one-dimensional numerical simulation is constructed to simulate snap equilibrium and its associated hysteresis, exactly as predicted in the S’-framework by inspecting the maps at their interface. Both two-map and three-m
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Sakai, Momoko, and Yohsuke Yoshioka. "Evaluating Map Orientation Methods in Smartphone Applications by Analyzing Search Time Through a Virtual Environment Experiment." In 16th International Conference on Applied Human Factors and Ergonomics (AHFE 2025). AHFE International, 2025. https://doi.org/10.54941/ahfe1006226.

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In recent years, smartphone map applications have implemented numerous features enhancing usability. These include adjusting map scale and orientation, displaying user’s current location, and route guidance. Such advancements have made map reading significantly easier compared to traditional paper maps particularly by automating tasks like orientation and navigation. However, the diverse street patterns in certain urban areas can confuse users who are not proficient in map reading, such as those unfamiliar with technology or individuals in emergency situations. This confusion can reduce the be
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Brown, Travis L., Tariq D. Aslam, and James P. Schmiedeler. "Determination of Minimum Time Rendezvous Points for Multiple Mobile Robots via Level Set Methods." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48282.

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This paper addresses the problem of finding the minimum time rendezvous point for a geographically distributed group of heterogeneous mobile robots. In contrast to the traditional treatment of the multi-agent rendezvous problem, focus is given mainly to the identification of the globally optimal solution rather than the behavior of the system based on a given control policy. Level sets are introduced as a tool to solve this problem by first computing an arrival time map for each robot, subject to speed, terrain, and dynamic constraints. The computation is parallelizable by requiring each agent
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Eng, Nathan, Marco Aurisicchio, Rob Bracewell, and Gareth Armstrong. "More Space to Think: Eight Years of Visual Support for Rationale Capture, Creativity and Knowledge Management in Aerospace Engineering." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47911.

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Concept mapping software is emerging as a powerful tool for supporting complex thinking. The Decision Rationale editor (DRed) provides an illustrative example from industry. Eight years after its development, 700+ engineers in Rolls-Royce have received direct training, others have adopted it independently and it is increasingly used for knowledge management, creativity and communication. This study seeks lessons from these experiences to inform broader map-based tools and methods development. Semi-structured interviews were performed with 11 professionals ranging from junior engineers to chief
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Pampin, Miguel A. Bernal, Laura Cristobal Andrade, and Pastora M. Bello Bugallo. "Beyond the Simplicity: Optimizing the Hydrogen Production Process." In World Renewable Energy Congress – Sweden, 8–13 May, 2011, Linköping, Sweden. Linköping University Electronic Press, 2011. http://dx.doi.org/10.3384/ecp110571135.

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Masciola, Marco, Jason Jonkman, and Amy Robertson. "Extending the Capabilities of the Mooring Analysis Program: A Survey of Dynamic Mooring Line Theories for Integration Into FAST." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-23508.

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Techniques to model dynamic mooring lines take various forms. The most widely used models include a heuristic representation of the physics (such as a lumped-mass system), a finite-element analysis discretization of the lines (discretized in space), or a finite-difference model (which is discretized in both space and time). In this paper, the authors explore the features of the various models, weigh the advantages of each, and propose a plan for implementing one dynamic mooring line model into the open-source Mooring Analysis Program (MAP). MAP is currently used as a module for the FAST offsho
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Verma, K., and B. Han. "Warpage Measurement of Microelectronics Devices by Far Infrared Fizeau Interferometry." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0434.

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Abstract Far infrared Fizeau interferometry is developed and it is proposed as a tool for warpage measurement of microelectronics devices. The method provides a whole-field map of surface topography. Its basic sensitivity is 5.3 μm per fringe contour and a higher sensitivity is achieved by employing the O/DFM method. The method is implemented by a compact apparatus using a computer controlled environmental chamber for real-time measurement. The method retains the simplicity of classical interferometry while providing a wide applicability to dielectric rough surfaces. Roughness tolerance is ach
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Reports on the topic "Simplicial map"

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Bonfil, David J., Daniel S. Long, and Yafit Cohen. Remote Sensing of Crop Physiological Parameters for Improved Nitrogen Management in Semi-Arid Wheat Production Systems. United States Department of Agriculture, 2008. http://dx.doi.org/10.32747/2008.7696531.bard.

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To reduce financial risk and N losses to the environment, fertilization methods are needed that improve NUE and increase the quality of wheat. In the literature, ample attention is given to grid-based and zone-based soil testing to determine the soil N available early in the growing season. Plus, information is available on in-season N topdressing applications as a means of improving GPC. However, the vast majority of research has focused on wheat that is grown under N limiting conditions in sub-humid regions and irrigated fields. Less attention has been given to wheat in dryland that is water
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