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Journal articles on the topic 'Unfolding'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 June 2025

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1

PUEBLA, GERMÁN, ELVIRA ALBERT, and MANUEL HERMENEGILDO. "Efficient local unfolding with ancestor stacks." Theory and Practice of Logic Programming 11, no. 1 (2010): 1–32. http://dx.doi.org/10.1017/s1471068409990263.

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AbstractThe most successful unfolding rules used nowadays in the partial evaluation of logic programs are based on well quasi orders (wqo) applied over (covering) ancestors, i.e., a subsequence of the atoms selected during a derivation. Ancestor (sub)sequences are used to increase the specialization power of unfolding while still guaranteeing termination and also to reduce the number of atoms for which the wqo has to be checked. Unfortunately, maintaining the structure of the ancestor relation during unfolding introduces significant overhead. We propose an efficient, practical local unfolding rule based on the notion of covering ancestors which can be used in combination with a wqo and allows a stack-based implementation without losing any opportunities for specialization. Using our technique, certain nonleftmost unfoldings are allowed as long as local unfolding is performed, i.e., we cover depth-first strategies. To deal with practical programs, we propose assertion-based techniques which allow our approach to treat programs that include (Prolog) built-ins and external predicates in a very extensible manner, for the case of leftmost unfolding. Finally, we report on our implementation of these techniques embedded in a practical partial evaluator, which shows that our techniques, in addition to dealing with practical programs, are also significantly more efficient in time and somewhat more efficient in memory than traditional tree-based implementations.

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2

Lari-Lavassani, Ali, and Yung-Chen Lu. "The Stability Theorems for Subgroups of and." Canadian Journal of Mathematics 46, no. 5 (1994): 995–1006. http://dx.doi.org/10.4153/cjm-1994-057-3.

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AbstractIn singularity theory, J. Damon gave elegant versions of the unfolding and determinacy theorems for geometric subgroups of . and . In this work, we propose a unified treatment of the smooth stability of germs and the structural stability of versai unfoldings for a large class of such subgroups.

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3

Rouabah, Younes, and Zhiwu Li. "The Unfolding: Origins, Techniques, and Applications within Discrete Event Systems." Mathematics 11, no. 1 (2022): 47. http://dx.doi.org/10.3390/math11010047.

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This article aims to provide a perspective on the foundations and developments of the net unfolding techniques and their applications to discrete event systems. The numerous methods applied to concurrency presented in the literature can be roughly divided into two classes: those that assume concurrency can be represented by means of a non-deterministic form, and those that represent concurrency by means of causal relations. This study serves as an ideal starting point for researchers interested in true concurrency semantics by offering a concise literature review of one of the major streams of research towards concurrency and interleaving problems. In order to cope with the state-explosion problem, the unfolding approach is used. Based on the findings of concurrency theory, interleaving semantics are replaced with a unique partially ordered occurrence net. In this paper, we aim to provide a comprehensive review on the history of net unfoldings, the methods that are based on these unfoldings, and how they are used in discrete event systems for automatic verification and compact representations purposes.

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4

Benbouzid, Bilel. "Unfolding Algorithms." Science & Technology Studies 32, no. 4 (2019): 119–36. http://dx.doi.org/10.23987/sts.66156.

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Predictive policing is a research field whose principal aim is to develop machines for predicting crimes, drawing on machine learning algorithms and the growing availability of a diversity of data. This paper deals with the case of the algorithm of PredPol, the best-known startup in predictive policing. The mathematicians behind it took their inspiration from an algorithm created by a French seismologist, a professor in earth sciences at the University of Savoie. As the source code of the PredPol platform is kept inaccessible as a trade secret, the author contacted the seismologist directly in order to try to understand the predictions of the company’s algorithm. Using the same method of calculation on the same data, the seismologist arrived at a different, more cautious interpretation of the algorithm's capacity to predict crime. How were these predictive analyses formed on the two sides of the Atlantic? How do predictive algorithms come to exist differently in these different contexts? How and why is it that predictive machines can foretell a crime that is yet to be committed in a California laboratory, and yet no longer work in another laboratory in Chambéry? In answering these questions, I found that machine learning researchers have a moral vision of their own activity that can be understood by analyzing the values and material consequences involved in the evaluation tests that are used to create the predictions.

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5

Hunt, Philip. "Unfolding crisis." Nursing Standard 10, no. 23 (1996): 19. http://dx.doi.org/10.7748/ns.10.23.19.s33.

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6

Cantinho, Beatriz, and Túlio Rosa. "Unfolding Images." Performance Research 26, no. 4 (2021): 32–36. http://dx.doi.org/10.1080/13528165.2021.2005946.

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7

Pàmies, Pep. "Rapid unfolding." Nature Materials 12, no. 12 (2013): 1080. http://dx.doi.org/10.1038/nmat3834.

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8

Wares, Arsalan, and Iwan Elstak. "Geometry unfolding." International Journal of Mathematical Education in Science and Technology 45, no. 4 (2013): 589–95. http://dx.doi.org/10.1080/0020739x.2013.851802.

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9

Flannery, Maura C. "Unfolding Proteins." American Biology Teacher 74, no. 4 (2012): 278–81. http://dx.doi.org/10.1525/abt.2012.74.4.13.

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10

Matzke, M. "Unfolding procedures." Radiation Protection Dosimetry 107, no. 1-3 (2003): 155–74. http://dx.doi.org/10.1093/oxfordjournals.rpd.a006384.

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11

Murphy, Jay. "Unfolding Complexity." Afterimage 38, no. 6 (2011): 38–39. http://dx.doi.org/10.1525/aft.2011.38.6.38.

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12

Golden, Jeffrey A., and Brian N. Harding. "Unfolding polymicrogyria." Nature Reviews Neurology 6, no. 9 (2010): 471–72. http://dx.doi.org/10.1038/nrneurol.2010.118.

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13

Moskowitz, Clara. "Life Unfolding." Scientific American 310, no. 4 (2014): 86. http://dx.doi.org/10.1038/scientificamerican0414-86d.

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14

Solnica-Krezel, L. "Unfolding gastrulation." Development 131, no. 23 (2004): 5767–69. http://dx.doi.org/10.1242/dev.01518.

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15

Ronan, L. K. "Unfolding humility." Neurology 83, no. 15 (2014): 1366–68. http://dx.doi.org/10.1212/wnl.0000000000000899.

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16

Pinto, Megan. "The Unfolding." Ploughshares 45, no. 4 (2020): 109. http://dx.doi.org/10.1353/plo.2020.0047.

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17

Neff, Ellen P. "Unfolding neurodegeneration." Lab Animal 48, no. 11 (2019): 331. http://dx.doi.org/10.1038/s41684-019-0434-3.

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18

Moore, Andrew. "Unfolding evolution." BioEssays 31, no. 7 (2009): 692–93. http://dx.doi.org/10.1002/bies.200900076.

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19

Yagawa, Keisuke, Koji Yamano, Takaomi Oguro, et al. "Structural basis for unfolding pathway-dependent stability of proteins: Vectorial unfolding versus global unfolding." Protein Science 19, no. 4 (2010): 693–702. http://dx.doi.org/10.1002/pro.346.

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20

MESEGUER, JOSÉ, UGO MONTANARI, and VLADIMIRO SASSONE. "On the semantics of place/transition Petri nets." Mathematical Structures in Computer Science 7, no. 4 (1997): 359–97. http://dx.doi.org/10.1017/s0960129597002314.

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Place/transition (PT) Petri nets are one of the most widely used models of concurrency. However, they still lack, in our view, a satisfactory semantics: on the one hand the ‘token game’ is too intensional, even in its more abstract interpretations in terms of nonsequential processes and monoidal categories; on the other hand, Winskel's basic unfolding construction, which provides a coreflection between nets and finitary prime algebraic domains, works only for safe nets. In this paper we extend Winskel's result to PT nets. We start with a rather general category PTNets of PT nets, we introduce a category DecOcc of decorated (nondeterministic) occurrence nets and we define adjunctions between PTNets and DecOcc and between DecOcc and Occ, the category of occurrence nets. The role of DecOcc is to provide natural unfoldings for PT nets, i.e., acyclic safe nets where a notion of family is used to relate multiple instances of the same place. The unfolding functor from PTNets to Occ reduces to Winskel's when restricted to safe nets. Moreover, the standard coreflection between Occ and Dom, the category of finitary prime algebraic domains, when composed with the unfolding functor above, determines a chain of adjunctions between PTNets and Dom.

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21

DIMINNIE, DAVID C., and RICHARD HABERMAN. "ACTION AND PERIOD OF HOMOCLINIC AND PERIODIC ORBITS FOR THE UNFOLDING OF A SADDLE-CENTER BIFURCATION." International Journal of Bifurcation and Chaos 13, no. 11 (2003): 3519–30. http://dx.doi.org/10.1142/s0218127403008569.

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At a saddle-center bifurcation for Hamiltonian systems, the homoclinic orbit is cusp shaped at the nonlinear nonhyperbolic saddle point. Near but before the bifurcation, orbits are periodic corresponding to the unfolding of the homoclinic orbit, while after the bifurcation a double homoclinic orbit is formed with a local and global branch. The saddle-center bifurcation is dynamically unfolded due to a slowly varying potential. Near the unfolding of the homoclinic orbit, the period and action are analyzed. Asymptotic expansions for the action, period and dissipation are obtained in an overlap region near the homoclinic orbit of the saddle-center bifurcation. In addition, the unfoldings of the action and dissipation functions associated with zero energy orbits (periodic and homoclinic) near the saddle-center bifurcation are determined using the method of matched asymptotic expansions for integrals.

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22

Currier, Sarah Cox. "Unfolding a Problem." Teaching Children Mathematics 21, no. 8 (2015): 476–82. http://dx.doi.org/10.5951/teacchilmath.21.8.0476.

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23

Abel, Jonathan E., and Joseph Jonghyun Jeon. "Unfolding Digital Asias." Verge: Studies in Global Asias 7, no. 2 (2021): vi—xxii. http://dx.doi.org/10.1353/vrg.2021.0011.

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24

Abbott, Steve, Hermann Bondi, and Miranda Weston-Smith. "The Universe Unfolding." Mathematical Gazette 82, no. 495 (1998): 540. http://dx.doi.org/10.2307/3619935.

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25

Wyberg, Terry, Stephanie R. Whitney, Kathleen A. Cramer, Debra S. Monson, and Seth Leavitt. "Unfolding Fraction Multiplication." Mathematics Teaching in the Middle School 17, no. 5 (2011): 288–94. http://dx.doi.org/10.5951/mathteacmiddscho.17.5.0288.

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26

Jermy, Andrew. "Unfolding antiviral defences." Nature Reviews Microbiology 7, no. 3 (2009): 177. http://dx.doi.org/10.1038/nrmicro2098.

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27

Pastrana, Erika. "Unfolding to force." Nature Methods 11, no. 1 (2013): 6. http://dx.doi.org/10.1038/nmeth.2796.

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28

Kim, Dae-Hyeong, and Youngsik Lee. "Injection and unfolding." Nature Nanotechnology 10, no. 7 (2015): 570–71. http://dx.doi.org/10.1038/nnano.2015.129.

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29

Kauzmann, Walter. "Thermodynamics of unfolding." Nature 325, no. 6107 (1987): 763–64. http://dx.doi.org/10.1038/325763a0.

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30

Lalazar, Gadi, Victoria Doviner, and Eldad Ben-Chetrit. "Unfolding the Diagnosis." New England Journal of Medicine 370, no. 14 (2014): 1344–48. http://dx.doi.org/10.1056/nejmcps1300859.

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31

Cockerill, Steve K. "Unfolding systemic ideas." Executive Development 8, no. 4 (1995): 4–8. http://dx.doi.org/10.1108/09533239510089490.

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32

Zhuo, Y. "Unfolding Literature's Veil." NOVEL A Forum on Fiction 46, no. 1 (2013): 158–61. http://dx.doi.org/10.1215/00295132-2019200.

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33

Aguilar, Andrea. "Unfolding osmotic demyelination." Nature Reviews Nephrology 13, no. 4 (2017): 192. http://dx.doi.org/10.1038/nrneph.2017.15.

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34

Kuhl, Ellen. "Unfolding the brain." Nature Physics 12, no. 6 (2016): 533–34. http://dx.doi.org/10.1038/nphys3641.

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35

Creighton, T. E. "Unfolding protein folding." Nature 352, no. 6330 (1991): 17–18. http://dx.doi.org/10.1038/352017a0.

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36

Dias, C. L., and M. Grant. "Unfolding designable structures." European Physical Journal B 50, no. 1-2 (2006): 265–69. http://dx.doi.org/10.1140/epjb/e2006-00036-x.

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37

Somhegyi, Zoltán. "Unfolding the Baroque." Journal of Aesthetics and Phenomenology 6, no. 1 (2018): 89–93. http://dx.doi.org/10.1080/20539320.2018.1557448.

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38

Treviño-Palacios, Carlos Gerardo. "Unfolding wrapped phase." Optical Engineering 54, no. 11 (2015): 110503. http://dx.doi.org/10.1117/1.oe.54.11.110503.

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39

Lemer, A., and G. Riccardi. "Unfolding cylindrical sonar." Journal of the Acoustical Society of America 98, no. 3 (1995): 1256. http://dx.doi.org/10.1121/1.413535.

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40

MEJDAHL, JANE, and RENE LUNDGAARD KRISTENSEN. "Unfolding the Unspoken." Ethnographic Praxis in Industry Conference Proceedings 2010, no. 1 (2010): 328. http://dx.doi.org/10.1111/j.1559-8918.2010.00050.x.

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41

HEYLIN, MICHAEL. "The unfolding story." Chemical & Engineering News 63, no. 6 (1985): 3. http://dx.doi.org/10.1021/cen-v063n006.p003.

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42

Capaldi, Andrew P., and Sheena E. Radford. "An unfolding story." Trends in Biochemical Sciences 26, no. 12 (2001): 753. http://dx.doi.org/10.1016/s0968-0004(01)02025-4.

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43

FEFERMAN, SOLOMON, and THOMAS STRAHM. "UNFOLDING FINITIST ARITHMETIC." Review of Symbolic Logic 3, no. 4 (2010): 665–89. http://dx.doi.org/10.1017/s1755020310000183.

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The concept of the (full) unfolding $\user1{{\cal U}}(S)$ of a schematic system $S$ is used to answer the following question: Which operations and predicates, and which principles concerning them, ought to be accepted if one has accepted $S$? The program to determine $\user1{{\cal U}}(S)$ for various systems $S$ of foundational significance was previously carried out for a system of nonfinitist arithmetic, $NFA$; it was shown that $\user1{{\cal U}}(NFA)$ is proof-theoretically equivalent to predicative analysis. In the present paper we work out the unfolding notions for a basic schematic system of finitist arithmetic, $FA$, and for an extension of that by a form $BR$ of the so-called Bar Rule. It is shown that $\user1{{\cal U}}(FA)$ and $\user1{{\cal U}}(FA + BR)$ are proof-theoretically equivalent, respectively, to Primitive Recursive Arithmetic, $PRA$, and to Peano Arithmetic, $PA$.

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44

Damian, Mirela, Robin Flatland, and Joseph O'Rourke. "Unfolding Manhattan Towers." Computational Geometry 40, no. 2 (2008): 102–14. http://dx.doi.org/10.1016/j.comgeo.2007.07.003.

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45

Coffman, Adam. "Unfolding CR Singularities." Memoirs of the American Mathematical Society 205, no. 962 (2010): 0. http://dx.doi.org/10.1090/s0065-9266-09-00575-4.

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46

Baldwin, Robert L. "Competing unfolding pathways." Nature Structural Biology 4, no. 12 (1997): 965–66. http://dx.doi.org/10.1038/nsb1297-965.

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47

Vinson, Valda. "Signaling by Unfolding." Science 339, no. 6119 (2013): 490.2–490. http://dx.doi.org/10.1126/science.339.6119.490-b.

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48

Leslie, Mitch. "Unfolding chromatin nets." Journal of Cell Biology 184, no. 2 (2009): 187. http://dx.doi.org/10.1083/jcb.1842iti4.

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49

Aakko, Maarit. "Unfolding Artisanal Fashion." Fashion Theory 23, no. 4-5 (2018): 531–52. http://dx.doi.org/10.1080/1362704x.2017.1421297.

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50

Reese, Cynthia E. "Unfolding Case Studies." Journal of Continuing Education in Nursing 42, no. 8 (2011): 344–45. http://dx.doi.org/10.3928/00220124-20110722-04.

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