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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
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2

Würdemann, Nick, Thomas Chatain, Stefan Haar, and Lukas Panneke. "Taking Complete Finite Prefixes To High Level, Symbolically*." Fundamenta Informaticae 192, no. 3-4 (2024): 313–61. http://dx.doi.org/10.3233/fi-242196.

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Unfoldings are a well known partial-order semantics of P/T Petri nets that can be applied to various model checking or verification problems. For high-level Petri nets, the so-called symbolic unfolding generalizes this notion. A complete finite prefix of a P/T Petri net’s unfolding contains all information to verify, e.g., reachability of markings. We unite these two concepts and define complete finite prefixes of the symbolic unfolding of high-level Petri nets. For a class of safe high-level Petri nets, we generalize the well-known algorithm by Esparza et al. for constructing small such prefi
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3

Seelig, Joachim, and Anna Seelig. "Protein Unfolding—Thermodynamic Perspectives and Unfolding Models." International Journal of Molecular Sciences 24, no. 6 (2023): 5457. http://dx.doi.org/10.3390/ijms24065457.

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We review the key steps leading to an improved analysis of thermal protein unfolding. Thermal unfolding is a dynamic cooperative process with many short-lived intermediates. Protein unfolding has been measured by various spectroscopic techniques that reveal structural changes, and by differential scanning calorimetry (DSC) that provides the heat capacity change Cp(T). The corresponding temperature profiles of enthalpy ΔH(T), entropy ΔS(T), and free energy ΔG(T) have thus far been evaluated using a chemical equilibrium two-state model. Taking a different approach, we demonstrated that the tempe
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4

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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5

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
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6

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
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7

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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8

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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9

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

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10

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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11

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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12

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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13

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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14

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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15

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

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16

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

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17

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

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18

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

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19

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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20

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

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21

Jamna, Lal Menaria Lunawat. "Unfolding Bitcoin." Journal of Scientific and Engineering Research 9, no. 2 (2022): 79–81. https://doi.org/10.5281/zenodo.10510918.

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<strong>Abstract </strong>In the wake of increasing disturbance in different parts of the world there has been an increase in the adoption of virtual currencies and ensuing volatility in its prices. The paper discusses one such virtual currency, bitcoin. The paper highlights the advantages and issues with the usage of bitcoin. Due to the scant literature available on bitcoin, the paper presents various avenues of future research in this area.
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22

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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23

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
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24

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 r
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25

De Tommasi, D., N. Millardi, G. Puglisi, and G. Saccomandi. "An energetic model for macromolecules unfolding in stretching experiments." Journal of The Royal Society Interface 10, no. 88 (2013): 20130651. http://dx.doi.org/10.1098/rsif.2013.0651.

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We propose a simple approach, based on the minimization of the total (entropic plus unfolding) energy of a two-state system, to describe the unfolding of multi-domain macromolecules (proteins, silks, polysaccharides, nanopolymers). The model is fully analytical and enlightens the role of the different energetic components regulating the unfolding evolution. As an explicit example, we compare the analytical results with a titin atomic force microscopy stretch-induced unfolding experiment showing the ability of the model to quantitatively reproduce the experimental behaviour. In the thermodynami
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26

Buchstaber, Victor Matveevich. "Kolmogorov widths, Grassmann manifolds and unfoldings of time series." Sbornik: Mathematics 216, no. 3 (2025): 314–32. https://doi.org/10.4213/sm10240e.

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Problems in Kolmogorov's theory of widths and the theory of unfoldings of time series are considered. These theories are related by means of the theory of extremal problems on the Grassmann manifolds $G(n,q)$ of $q$-dimensional linear subspaces of $\mathbb R^n$. The necessary information on the manifolds $G(n,q)$ is provided. Using an unfolding of a time series, the concept of the $q$-width of this series is introduced, and the $q$-width of a time series is calculated in the case of the functional of component analysis of the nodes of the unfolding. Using the Schubert basis of a $q$-dimensiona
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27

Chen, Yunfeng, Lining Ju, Jizhong Lou, and Cheng Zhu. "Force-Induced Cooperative Unfolding of Two Distinctive Domains in a Single Gpibalpha Molecule." Blood 126, no. 23 (2015): 3449. http://dx.doi.org/10.1182/blood.v126.23.3449.3449.

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Abstract GPIbα, a major member of the GPIb-IX-V complex, initiates a mechano-signaling pathway that leads to platelet intracellular calcium flux when binding to VWF at the A1 domain1. Exactly how this signal is transduced across the membrane is unknown. A recent work identifying the unfolding of a jextamembrane mechanosensitive domain (MSD) (Fig.1 A,C) suggested that this unfolding might play a role in the signal transduction of GPIbα2. Using molecular dynamics (MD) simulations to pull the GPIbα leucine-rich repeat domain (LRRD) from the VWF A1 domain, we observed unfolding of the LRRD (Fig.1
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28

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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29

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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30

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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31

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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32

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

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33

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

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34

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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35

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

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36

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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37

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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38

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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39

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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40

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

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41

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

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42

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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43

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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44

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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45

Hoyas, Sergio, Ricardo Vinuesa, Martin Oberlack, Pedro Fernández de Córdoba, Jose María Isidro, and María Jezabel Pérez-Quiles. "Unfolding wall turbulence." Results in Engineering 24 (December 2024): 103181. http://dx.doi.org/10.1016/j.rineng.2024.103181.

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46

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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47

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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48

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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49

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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50

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 syste
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