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Journal articles on the topic 'Space of ends'

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Published: 4 June 2021

Last updated: 1 February 2022

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1

peschke, Georg. "Ends of spaces related by a covering map." Canadian Mathematical Bulletin 33, no. 1 (1990): 110–18. http://dx.doi.org/10.4153/cmb-1990-019-2.

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Consider a covering p : X → B of connected topological spaces. If B is a compact polyhedron, a classical result of H. Hopf [4] says that the end space E(X) of X is an invariant of the group G of covering transformations. Thus it becomes meaningful to define the end space of the finitely generated group G as E(G) := E(X).

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2

Biggin, Susan. "Space: Tether ends up in the ether." Physics World 9, no. 4 (1996): 11. http://dx.doi.org/10.1088/2058-7058/9/4/10.

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3

Gilligan, B., K. Oeljeklaus, and W. Richthofer. "Homogeneous Complex Manifolds with more than One End." Canadian Journal of Mathematics 41, no. 1 (1989): 163–77. http://dx.doi.org/10.4153/cjm-1989-008-4.

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For homogeneous spaces of a (real) Lie group one of the fundamental results concerning ends (in the sense of Freudenthal [8] ) is due to A. Borel [6]. He showed that if X = G/H is the homogeneous space of a connected Lie group G by a closed connected subgroup H, then X has at most two ends. And if X does have two ends, then it is diffeomorphic to the product of R with the orbit of a maximal compact subgroup of G.In the setting of homogeneous complex manifolds the basic idea should be to find conditions which imply that the space has at most two ends and then, when the space has exactly two ends, to display the ends via bundles involving C* and compact homogeneous complex manifolds. An analytic condition which ensures that a homogeneous complex manifold X has at most two ends is that X have non-constant holomorphic functions and the structure of such a space with exactly two ends is determined, namely, it fibers over an affine homogeneous cone with its vertex removed with the fiber being compact [9], [13].

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4

Mazzeo, Rafe, Jan Swoboda, Hartmut Weiss, and Frederik Witt. "Ends of the moduli space of Higgs bundles." Duke Mathematical Journal 165, no. 12 (2016): 2227–71. http://dx.doi.org/10.1215/00127094-3476914.

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5

Connell, Chris, and John Ullman. "Ends of negatively curved surfaces in Euclidean space." manuscripta mathematica 131, no. 3-4 (2010): 275–303. http://dx.doi.org/10.1007/s00229-009-0324-x.

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6

Abresch, Uwe, and Viktor Schroeder. "Graph manifolds, ends of negatively curved spaces and the hyperbolic 120-cell space." Journal of Differential Geometry 35, no. 2 (1992): 299–336. http://dx.doi.org/10.4310/jdg/1214448077.

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7

Cornulier, Yves. "On the space of ends of infinitely generated groups." Topology and its Applications 263 (August 2019): 279–98. http://dx.doi.org/10.1016/j.topol.2019.05.013.

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8

Biggin, S. "Italian Space Agency Head Ends Term With a Bang." Science 272, no. 5270 (1996): 1867. http://dx.doi.org/10.1126/science.272.5270.1867.

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9

Kovtonyuk, D. A., and V. I. Ryazanov. "On the Theory of Prime Ends for Space Mappings." Ukrainian Mathematical Journal 67, no. 4 (2015): 528–41. http://dx.doi.org/10.1007/s11253-015-1098-9.

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10

ESTEVEZ-DELGADO, J., and T. ZANNIAS. "WORMHOLES OF K-ESSENCE IN ARBITRARY SPACE–TIME DIMENSIONS." International Journal of Modern Physics A 23, no. 20 (2008): 3165–75. http://dx.doi.org/10.1142/s0217751x08040536.

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We consider a K-essence involving a massless scalar field Φ minimally coupled to Einstein gravity in D ≥ 4 space–time dimensions. This theory admits a two-parameter family of spherical wormholes representing two asymptotically-flat universes connected via a (D-2)-dimensional spherical throat. The ADM masses of the two ends are unequal and of opposite sign except for a one-parameter family where both ends possess vanishing ADM masses. By cut and paste techniques, we construct a two-parameter family of wormholes where the ends possess equal and positive ADM masses but the throat is a (D-1)-dimensional thin-shell. The structure of the surface energy–momentum tensor is also analyzed.

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11

Соловьев, Александр. "Government Decisions: the Conceptual Space and Dead Ends of Theorization." Полис. Политические исследования (Polis. Political Studies), no. 3 (May 25, 2015): 127–46. http://dx.doi.org/10.17976/jpps/2015.03.08.

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12

Friese, Heidrun, and Peter Wagner. "More beginnings than ends. The other space of the university." Social Epistemology 12, no. 1 (1998): 27–31. http://dx.doi.org/10.1080/02691729808578857.

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13

Rossman, Wayne, and Katsunori Sato. "Constant Mean Curvature Surfaces with Two Ends in Hyperbolic Space." Experimental Mathematics 7, no. 2 (1998): 101–19. http://dx.doi.org/10.1080/10586458.1998.10504360.

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14

Guinnessy, Paul. "Goldin Era Ends at NASA, Canada Picks New Space Chief." Physics Today 54, no. 12 (2001): 22–23. http://dx.doi.org/10.1063/1.1445535.

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15

Roederer, Juan G. "Space Physics from Both Ends of the Americas, 1949–2019." Journal of Geophysical Research: Space Physics 124, no. 12 (2019): 9866–80. http://dx.doi.org/10.1029/2019ja027049.

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16

Boissy, Corentin. "Ends of strata of the moduli space of quadratic differentials." Geometriae Dedicata 159, no. 1 (2011): 71–88. http://dx.doi.org/10.1007/s10711-011-9646-4.

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17

Mitchell, Don. "People’s Park again: on the end and ends of public space." Environment and Planning A: Economy and Space 49, no. 3 (2016): 503–18. http://dx.doi.org/10.1177/0308518x15611557.

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This paper uses three recent struggles over public space in California’s East Bay (Berkeley and Oakland) to critically interrogate the ‘end of public space’ thesis. Developing a historical analysis of the discourse of the ‘end of public space’ over the past two and a half decades, the paper shows that dismissal of arguments about the end of public space both ignores the dialectical nature of the original interventions and comes at a real political and scholarly cost. The paper concludes that the tendency towards the end of public space in capitalism is closely related to the necessity for capitalism to produce abstract space. Both this tendency and this necessity are struggled over and contradictory, and it is out of these struggles and contradictions that actually-existing public space is produced.

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18

WANG, J. G., and M. REISER. "LOCALIZED SPACE-CHARGE WAVES IN SPACE-CHARGE DOMINATED BEAMS." International Journal of Modern Physics B 09, no. 12 (1995): 1409–27. http://dx.doi.org/10.1142/s0217979295000616.

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The physics of space-charge waves in space-charge dominated beams is presented. This includes the generation and propagation of such waves in coasting beams, and the end effect on space-charge waves in bunched beams. It is shown for the first time in experiments that a single space-charge wave can be generated, that the geometry factor g can be measured with localized space-charge waves, and that both reflection and transmission take place at the ends of an initially rectangular bunch. The experimental results are supported by theoretical analyses. The application of localized space-charge waves as a new technique for beam diagnostics is also described.

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19

Haslem, Lori Schroeder. "Riddles, Female Space, and Closure in All's Well That Ends Well." English Language Notes 38, no. 4 (2001): 19–33. http://dx.doi.org/10.1215/00138282-38.4.19.

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20

Wang, J. G., D. X. Wang, H. Suk, and M. Reiser. "Reflection and Transmission of Space-Charge Waves at Bunched Beam Ends." Physical Review Letters 74, no. 16 (1995): 3153–56. http://dx.doi.org/10.1103/physrevlett.74.3153.

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21

Johansson, Ingvar. "Perceptual Spaces Are Sense-Modality- Neutral." Open Philosophy 1, no. 1 (2018): 14–39. http://dx.doi.org/10.1515/opphil-2018-0003.

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Abstract The paper presents and discusses phenomenological facts about perceptual spaces and percepts, but ends with a few thoughts about possible causal explanations of such spaces. The overarching double-sided hypothesis claims that - from a phenomenological point of view - each individual animal has at each consciously perceived moment of time a sense-modality-neutral perceptual space, and that these perceptual spaces are so-called container spaces. This means, to be concrete, that blind persons, deaf persons, and all perceptually non-handicapped persons have the same kind of phenomenological perceptual space, a sense-modality-neutral container space. The causal reflections bring in James J. Gibson’s work on such matters.

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22

Fujimori, Shoichi. "Minimal surfaces in euclidean 3-space and their mean curvature 1 cousins in hyperbolic 3-space." Anais da Academia Brasileira de Ciências 75, no. 3 (2003): 271–78. http://dx.doi.org/10.1590/s0001-37652003000300002.

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We show that the Hopf differentials of a pair of isometric cousin surfaces, a minimal surface in euclidean 3-space and a constant mean curvature (CMC) one surface in the 3-dimensional hyperbolic space, with properly embedded annular ends, extend holomorphically to each end. Using this result, we derive conditions for when the pair must be a plane and a horosphere.

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23

Sherouse, Perry Maxfield Waldman. "Where the Sidewalk Ends: Automobility and Shame in Tbilisi, Georgia." Cultural Anthropology 33, no. 3 (2018): 444–72. http://dx.doi.org/10.14506/ca33.3.07.

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In recent years, cars have steadily colonized the sidewalks in downtown Tbilisi. By driving and parking on sidewalks, vehicles have reshaped public space and placed pedestrian life at risk. A variety of social actors coordinate sidewalk affairs in the city, including the local government, a private company called CT Park, and a fleet of self-appointed st’aianshik’ebi (parking attendants) who direct drivers into parking spots for spare change. Pedestrian activists have challenged the automotive conquest of footpaths in innovative ways, including art installations, social media protests, and the fashioning of ad hoc physical barriers. By safeguarding sidewalks against cars, activists assert ideals for public space that are predicated on sharp boundaries between sidewalk and street, pedestrian and machine, citizen and commodity. Politicians and activists alike connect the sharpness of such boundaries to an imagined Europe. Georgia’s parking culture thus reflects not only local configurations of power among the many interests clamoring for the space of the sidewalk, but also global hierarchies of value that form meaningful distinctions and aspirational horizons in debates over urban public space. Against the dismal frictions of an expanding car system, social actors mobilize the idioms of freedom and shame to reinterpret and repartition the public/private distinction.

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24

Picardello, Massimo A., and Wolfgang Woess. "Harmonic functions and ends of graphs." Proceedings of the Edinburgh Mathematical Society 31, no. 3 (1988): 457–61. http://dx.doi.org/10.1017/s0013091500037640.

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In this note we discuss extensions of results [5], where transient random walks are considered, whose transition matrix is compatible with a tree-structure of the underlying discrete state space. Notation is generally as in [5], with the exception that instead of a tree T we consider an arbitrary graph Γ, which is locally finite, connected, and whose vertex set S is infinite. The edge set E is unoriented, there are no multiple edges. We consider a transition operator P, given by a stochastic matrix (p(u, v))u, v ∈ S, which gives rise to a transient Markov chain (“random walk”), related to the graph structure by:(i) if p(u, v)>0 then [u, v] ∈ E,(ii) there is an M>0 such that p(k)(u, v)>0 for some k=k(u, v)≦M whenever [u, v]∈E (“uniform irreducibility”).

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25

GURALNIK, DAN P. "ENDS OF CUSP-UNIFORM GROUPS OF LOCALLY CONNECTED CONTINUA — I." International Journal of Algebra and Computation 15, no. 04 (2005): 765–98. http://dx.doi.org/10.1142/s0218196705002499.

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Due to works by Bestvina–Mess, Swarup and Bowditch, we now have complete knowledge of how splittings of a word-hyperbolic group G as a graph of groups with finite or two-ended edge groups relate to the cut point structure of its boundary. It is central in the theory that ∂G is a locally connected continuum (a Peano space). Motivated by the structure of tight circle packings, we propose to generalize this theory to cusp-uniform groups in the sense of Tukia. A Peano space X is cut-rigid, if X has no cut point, no points of infinite valence and no cut pairs consisting of bivalent points. We prove: Theorem. Suppose X is a cut-rigid space admitting a cusp-uniform action by an infinite group. If X contains a minimal cut triple of bivalent points, then there exists a simplicial tree T, canonically associated with X, and a canonical simplicial action of Homeo(X) on T such that any infinite cusp-uniform group G of X acts cofinitely on T, with finite edge stabilizers. In particular, if X is such that T is locally finite, then any cusp-uniform group G of X is virtually free.

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26

Rodríguez, M. Magdalena. "The space of doubly periodic minimal tori with parallel ends: Standard examples." Michigan Mathematical Journal 55, no. 1 (2007): 103–22. http://dx.doi.org/10.1307/mmj/1177681987.

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27

FUJIMORI, Shoichi. "Spacelike CMC 1 surfaces with elliptic ends in de Sitter 3-space." Hokkaido Mathematical Journal 35, no. 2 (2006): 289–320. http://dx.doi.org/10.14492/hokmj/1285766359.

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28

Hinchliffe, Steve. "Technology, Power, and Space—The Means and Ends of Geographies of Technology." Environment and Planning D: Society and Space 14, no. 6 (1996): 659–82. http://dx.doi.org/10.1068/d140659.

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This paper is about the means and ends of geographical inquiries into technology and technoscience. In working through a body of literature commonly grouped together under the collective phrase ‘science, technology, and society’, and in seeking to work upon empirical research on electricity networks, the author draws attention to the ontological and representational issues that are confronted when thinking through geographies of technology and geographies of techno-scientific knowledge. In the first part of the paper the ontological status of nonhumans and the politics of representation are discussed as a consequence of a rejection of technical and social determinisms. In the second part, the author turns to review some of the analytical metaphors that are conjured with in order to address the issues raised in the first part. In the third part of the paper the more overtly spatial metaphors of the literature of science, technology, and society are confronted and the move from a measured and ordered managerialist approach to the spatiality of technologies and technoscience is reviewed. In the fourth section, some lessons for the politics of a reconfigured geographical engagement with technology and technoscience are raised.

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29

Tkachev, Vladimir G. "Finiteness of the number of ends of minimal submanifolds in euclidean space." Manuscripta Mathematica 82, no. 1 (1994): 313–30. http://dx.doi.org/10.1007/bf02567704.

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30

Lauf, W., G. Schmieder та I. A. Volynec. "The automorphism space Σ(G) of a domain without punctiform prime ends". Journal of Geometric Analysis 10, № 4 (2000): 697–712. http://dx.doi.org/10.1007/bf02921993.

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31

Percival, Will J., Lado Samushia, Ashley J. Ross, Charles Shapiro, and Alvise Raccanelli. "Redshift-space distortions." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1957 (2011): 5058–67. http://dx.doi.org/10.1098/rsta.2011.0370.

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Comparing measurements of redshift-space distortions (RSDs) with geometrical observations of the expansion of the Universe offers tremendous potential for testing general relativity on very large scales. The basic linear theory of RSDs in the distant-observer limit has been known for 25 years and the effect has been conclusively observed in numerous galaxy surveys. The next generation of galaxy survey will observe many millions of galaxies over volumes of many tens of Gpc 3 . They will provide RSD measurements of such exquisite precision that we will have to carefully analyse and correct for many systematic deviations from this simple picture in order to fully exploit the statistical precision obtained. We review RSD theory and show how ubiquitous RSDs actually are, and then consider a number of potential systematic effects, shamelessly highlighting recent work in which we have been involved. This review ends by looking ahead to the future surveys that will make the next generation of RSD measurements.

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32

Simonsen, Kirsten. "Rumlig praksis – Konstitution af rum mellem materialitet og repræsentation." Slagmark - Tidsskrift for idéhistorie, no. 57 (March 9, 2018): 35–48. http://dx.doi.org/10.7146/sl.v0i57.104661.

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The purpose of the paper is to outline a conception of space which is basicallysocial and based in an ontology of practice. After a short introduction that groundthe paper in the contemporary discussion of a ‘spatial turn’ and in the related discussion within human geography, the purpose is pursued in two steps. First, thesocial ontology of practice is shortly outlined, and it is discussed how a conceptionof space starting from that will be. The French philosopher Henri Lefebvre providesa substantive part of the inspiration for that. The second step is to specifyoperations in work in this space, developed under the notions of embodied spacesand narrative spaces. The paper ends by discussing the relationship between space,time and mobility

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33

Sturm, Thomas. "Kant on the Ends of the Sciences." Kant-Studien 111, no. 1 (2020): 1–28. http://dx.doi.org/10.1515/kant-2020-0001.

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AbstractKant speaks repeatedly about the relations between ends or aims and scientific research, but the topic has mostly been ignored. What is the role of ends, especially (though not exclusively) practical ones, in his views on science? I will show that while Kant leaves ample space for recognizing a function of ends both in the definition and the pursuit of inquiry, and in the further practical application of scientific cognition, he does not claim that science is simply an instrument for achieving practical ends. I explain his complex conception, pointing out that Kant argues (1) that the sciences require ends for their very definition, (2) that ends come in fundamentally different kinds, (3) that the relation between science and ends requires the rational determination and hierarchization of all our ends, with “wisdom” as the highest, and (4) that this determination and hierarchization – which ought to be done by metaphysics – has itself to be carried out in a “scientific way”. I show further that (5) Kant gives sui generis weight to the epistemic aims and standards of science and to the autonomy of science from our practical lives. This places his position between separatism and anti-separatism with regard to the relation between science and our ends or values.

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34

Kawabe, Jun. "Uniformity for weak order convergence of Riesz space-valued measures." Bulletin of the Australian Mathematical Society 71, no. 2 (2005): 265–74. http://dx.doi.org/10.1017/s0004972700038235.

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The purpose of the paper is to show that weak order convergence of a net of Dedekind complete Riesz space-valued σ-measures is uniform over uniformly bounded, uniformly equicontinuous classes of functions. The paper ends with generalizing Ulam's theorem for tightness of positive, finite Borel measures to Riesz space-valued σ-measures.

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35

Souza, A. S. C., R. M. Gonçalves, S. De Nardin, and L. Calado. "A Strategy of Numerical Analysis of Space Truss Connections with Stamped Bar Ends." International Journal of Space Structures 23, no. 3 (2008): 143–52. http://dx.doi.org/10.1260/026635108786261027.

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36

Iijima, Ryutaro, and Hiroshi Kaneko. "Capacitary estimate on the space of ends of tree based on Orlicz norm." Facta universitatis - series: Physics, Chemistry and Technology 14, no. 3 (2016): 243–55. http://dx.doi.org/10.2298/fupct1603243i.

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In this article, we will focus on a significance of Ben Amor?s result which reveals an important relationship between Orlicz norm and a capacitary estimate. We will derive a lower capacitary estimates from spectral analytic overviews based on the scheme and recent development of stochastic analytic schemes on the ends of a tree. In particular, as an application of our analytical approach, we will shed light on a capacitary estimate for singleton given as an end of the tree.

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37

Feehan, Paul M. N. "Geometry of the ends of the moduli space of anti-self-dual connections." Journal of Differential Geometry 42, no. 3 (1995): 465–553. http://dx.doi.org/10.4310/jdg/1214457548.

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38

Gimeno, Vicent, and Irmina Gozalbo. "Conformal type of ends of revolution in space forms of constant sectional curvature." Annals of Global Analysis and Geometry 49, no. 2 (2015): 143–64. http://dx.doi.org/10.1007/s10455-015-9484-y.

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39

Terzi, Cédric, and Stéphane Tonnelat. "The publicization of public space." Environment and Planning A: Economy and Space 49, no. 3 (2016): 519–36. http://dx.doi.org/10.1177/0308518x16665359.

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In this article, we start by jointly examining the shortcomings contained in the substantial definitions of publicity commonly applied to the analysis of both public spaces (physical) and public spheres (political). We propose instead to consider publicity as a potential and publicization as a process, observable both in urban spaces and in the media. Building on John Dewey, we argue that when this process reaches its logical end, it determines and brings together a problem, a place, a sphere and a group of people that it makes public. It also leads to mechanisms of political action that constitute the ends of public space. Using the example of New Orleans post Katrina, we illustrate this process by discussing three obstacles that often stall or reverse publicization processes, which we believe deserve further study. Finally, we ground the values on which the process of publicization rests on the shared experience of trouble in potentially public spaces. This pragmatists approach opens the door to the study of publicization processes and public spaces beyond western cultures, and suggests an empirical way to deepen and reassess liberal conceptions of public space.

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40

de Souza, Alex Sander Clemente, and Roberto Martins Gonçalves. "Mechanism of Collapse of Space Trusses with Steel Hollow Circular Bars with Flattened Ends." International Journal of Space Structures 20, no. 4 (2005): 201–9. http://dx.doi.org/10.1260/026635105775870279.

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This paper presents the results of experimental analysis of space trusses using steel tubular bars with flattened ends. The connections are formed by overlapped bars connected by single bolt. Such system has been used due to the low cost and assembly facilities. The behavior and collapse modes were determined by experimental analysis on six space trusses with 1.5 m height and spans of 7.5 m × 7.5 m and 7.5 m × 15 m. Structures with steel nodes in the top corner and supports points were also tested. The structural collapse was caused by either connection collapse or yielding in the bar ends. Traditional theoretical analysis models (linear truss model) are not suitable for these structures.

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41

Madden, David J. "Revisiting the End of Public Space: Assembling the Public in an Urban Park." City & Community 9, no. 2 (2010): 187–207. http://dx.doi.org/10.1111/j.1540-6040.2010.01321.x.

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A case study of the renovation of New York City's Bryant Park, this article revisits the end of public space thesis. the renovated park signifies not the end of public space but the new ends to which public space is oriented. in Bryant Park, a new logic of urban publicity was assembled and built into the landscape. the social and technical means by which this transformation was achieved are analyzed. New public spaces of this sort promulgate a conception of the public that is decoupled from discourses of democratization, citizenship, and self–development and connected ever more firmly to consumption, commerce, and social surveillance. If such places do not herald the end of public space, they do represent “publicity without democracy.”

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42

Campbell, H. E. A., and P. S. Selick. "On the Semi-Tensor Product of the Dyer-Lashof and Steenrod Algebras." Canadian Journal of Mathematics 41, no. 4 (1989): 676–701. http://dx.doi.org/10.4153/cjm-1989-031-x.

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This paper arises out of joint work with F. R. Cohen and F. P. Peterson [5, 2, 3] on the joint structure of infinite loop spaces QX. The homology of such a space is operated on by both the Dyer-Lashof algebra, R, and the opposite of the Steenrod algebra A∗. We describe a convenient summary of these actions; let M be the algebra which is R ⊗ A∗ as a vector space and where multiplication Q1 ⊗ PJ. Q1’ ⊗ PJ’∗ is given by applying the Nishida relations in the middle and then the appropriate Adem relations on the ends. Then M is a Hopf algebra which acts on the homology of infinite loop spaces.

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43

Traizet, Martin. "Construction of constant mean curvature n-noids using the DPW method." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 763 (2020): 223–49. http://dx.doi.org/10.1515/crelle-2018-0031.

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44

Bonnet, B., R. Chiniard, H. Legay, et al. "Use of 3D Packaging Technology for Satellite Active Antennas Front-ends." International Symposium on Microelectronics 2012, no. 1 (2012): 000554–60. http://dx.doi.org/10.4071/isom-2012-wa14.

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Multi-Chip Module Vertical (MCM-V) technology, also called 3D packaging technology, enables the realization of a compact and low loss integrated feed for active antennas in Ka band. The active devices can be located in the vicinity of the radiating element, which reduces dramatically the volume and complexity of the antenna front-end for future architectures with more than a hundred beams in Ka band. This paper deals with the optimization of 3D packaging technology to reach the requirements of 30GHz microwave modules for space applications. The technological developments that have been led on the design and the assembly processes are detailed. The measurement results of an integrated feed module in radiation are given and the circuit designed to optimize the signal-to-noise ratio of the front-end for receiving antennas is characterized. The performance is as good as for an optimized planar front-end with a waveguide access for a much more compact module, especially in terms of footprint in an antenna array. These results successfully position 3D packaging as a disruptive technology for future space and telecom subsystems.

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45

Kapil, Sajan, Prathamesh Joshi, Hari Vithasth Yagani, et al. "Optimal space filling for additive manufacturing." Rapid Prototyping Journal 22, no. 4 (2016): 660–75. http://dx.doi.org/10.1108/rpj-03-2015-0034.

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Purpose In additive manufacturing (AM) process, the physical properties of the products made by fractal toolpaths are better as compared to those made by conventional toolpaths. Also, it is desirable to minimize the number of tool retractions. The purpose of this study is to describe three different methods to generate fractal-based computer numerical control (CNC) toolpath for area filling of a closed curve with minimum or zero tool retractions. Design/methodology/approach This work describes three different methods to generate fractal-based CNC toolpath for area filling of a closed curve with minimum or zero tool retractions. In the first method, a large fractal square is placed over the outer boundary and then rest of the unwanted curve is trimmed out. To reduce the number of retractions, ends of the trimmed toolpath are connected in such a way that overlapping within the existing toolpath is avoided. In the second method, the trimming of the fractal is similar to the first method but the ends of trimmed toolpath are connected such that the overlapping is found at the boundaries only. The toolpath in the third method is a combination of fractal and zigzag curves. This toolpath is capable of filling a given connected area in a single pass without any tool retraction and toolpath overlap within a tolerance value equal to stepover of the toolpath. Findings The generated toolpath has several applications in AM and constant Z-height surface finishing. Experiments have been performed to verify the toolpath by depositing material by hybrid layered manufacturing process. Research limitations/implications Third toolpath method is suitable for the hybrid layered manufacturing process only because the toolpath overlapping tolerance may not be enough for other AM processes. Originality/value Development of a CNC toolpath for AM specifically hybrid layered manufacturing which can completely fill any arbitrary connected area in single pass while maintaining a constant stepover.

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Yu, Zuhuan. "Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends." Tohoku Mathematical Journal 53, no. 2 (2001): 305–18. http://dx.doi.org/10.2748/tmj/1178207483.

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Kyosev, Yordan, and Lukáš Čapek. "Numerical Simulation of Joining Ropes by Sewing Stitches." innoTRAC Journal 1 (December 3, 2020): 19–25. http://dx.doi.org/10.14464/innotrac.v1i0.459.

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Braided structures are widely used in numerous contexts including everyday practice. In most cases, rope ends are knotted to form various types of loops or tie them to rigid body parts; however, knots take up space that may not be available in some application scenarios, thus making them unsuitable for certain purposes. Hence, this paper introduces first development steps of a method for the numerical simulation of rope ends connected by sewing stitches.

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Li, Mengyao, Atefeh Katrahmani, Amudha V. Kamaraj, and John D. Lee. "Defining A Design Space of The Auto-Mobile Office: A Computational Abstraction Hierarchy Analysis." Proceedings of the Human Factors and Ergonomics Society Annual Meeting 64, no. 1 (2020): 293–97. http://dx.doi.org/10.1177/1071181320641068.

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One advantage of highly automated vehicles is drivers can use commute time for non-driving tasks, such as work-related tasks. The potential for an auto-mobile office—a space where drivers work in automated vehicles—is a complex yet underexplored idea. This paper begins to define a design space of the auto- mobile office in SAE Level 3 automated vehicles by integrating the affinity diagram (AD) with a computational representation of the abstraction hierarchy (AH). The AD uses a bottom-up approach where researchers starting with individual findings aggregate and abstract those into higher-level concepts. The AH uses a top-down approach where researchers start with first principles to identify means-ends links between system goals and concrete forms of the system. Using the programming language R, the means-ends links of AH can be explored statistically. This computational approach to the AH provides a systematic means to define the design space of the auto-mobile office.

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Teachey, Alex, David Kipping, Christopher J. Burke, Ruth Angus, and Andrew W. Howard. "Loose Ends for the Exomoon Candidate Host Kepler-1625b." Astronomical Journal 159, no. 4 (2020): 142. http://dx.doi.org/10.3847/1538-3881/ab7001.

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Sun, Yue Jie, and Gao Jian Dong. "The Mode by Combining into Development of Underground Space and Protection of Cultural Relics - In the Famous Historical City of Luoyang as an Example." Advanced Materials Research 243-249 (May 2011): 6900–6903. http://dx.doi.org/10.4028/www.scientific.net/amr.243-249.6900.

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Protection of historical and cultural sites and exploitation of underground space became the two important weights on both ends of the modern Luoyang urban development scales. This essay is about the mode by combining into development of underground space and protection of cultural relics. Three aspects have been analysis by citing examples.

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