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1

Skrypnikov, A. V., E. V. Bystryantsev, V. S. Logoyda, and E. V. Chernyshova. "Designing a clotoid path by approximating a sequence of points using nonlinear programming methods." Proceedings of the Voronezh State University of Engineering Technologies 79, no. 2 (2017): 88–93. http://dx.doi.org/10.20914/2310-1202-2017-2-88-93.

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2

Kobryń, Andrzej, and Piotr Stachera. "S-Shaped Transition Curves as an Element of Reverse Curves in Road Design." Baltic Journal of Road and Bridge Engineering 14, no. 4 (2019): 484–503. http://dx.doi.org/10.7250/bjrbe.2019-14.454.

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A road designing involves horizontal and vertical alignment. The horizontal geometry is formed by straight and curvilinear sections that are traditionally formed using circular and transition curves (mainly the clothoid). Different geometric systems that are designed using circular and transition curves are between others circular curves with symmetrical or unsymmetrical clothoids, combined curves, oval curves and reverse curves. Designing these systems is quite complex. Therefore, so-called S-shaped transition curves are an alternative to traditional approaches. These curves are known from li
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3

Borovlev, Anton, Alexey Skrypnikov, Vyacheslav Kozlov, Tatyana Tyurikova, Oleg Tveritnev, and Vladimir Nikitin. "Mathematical Modeling of the Route of Logging Roads." Lesnoy Zhurnal (Forestry Journal), no. 4 (July 21, 2021): 150–61. http://dx.doi.org/10.37482/0536-1036-2021-4-150-161.

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The implementation of tasks related to the development of the transportation network as a whole and logging roads as an integral part of it requires scientifically based theoretical studies of the patterns of formation of spatial curves when combining elements of the plan and the longitudinal profile, since the rational laying of the route for many years determines its most important transport and operational characteristics (speed, traffic safety, traffic capacity). Consideration of the visual perception of the road by the driver will improve the quality of design decisions, which will allow
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4

König, T., A. Atmosudiro, A. Verl, and A. Lechler. "G2-stetiges Klothoidenüberschleifen*/G2-continuous clothoid smoothing – Results of a real-time smoothing process on the basis of piecewise defined clothoids." wt Werkstattstechnik online 109, no. 06 (2019): 491–95. http://dx.doi.org/10.37544/1436-4980-2019-06-93.

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Das Klothoidenüberschleifverfahren ermöglicht einen G2-stetigen Übergang zwischen NC (Numerical Control)-Sätzen bei linearem Krümmungsprofil. Zudem ist dieses Profil über die Verteilung der Klothoiden- und Kreissegmente steuerbar und bietet die Möglichkeit beispielsweise hinsichtlich der Vorschubgeschwindigkeit optimiert zu werden. Allgemein entstehen glattere Dynamikprofile, welche die Maschinenbelastung reduzieren oder höhere Bearbeitungsgeschwindigkeiten zulassen.   The clothoid smoothing process enables a G2-continuous transition between NC blocks with a linear curvature profile.
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5

Lord, Nick. "Euler, the clothoid and." Mathematical Gazette 100, no. 548 (2016): 266–73. http://dx.doi.org/10.1017/mag.2016.63.

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One of the many definite integrals that Euler was the first to evaluate was(1)He did this, almost as an afterthought, at the end of his short, seven-page paper catalogued as E675 in [1] and with the matter-of-fact title,On the values of integrals from x = 0 to x = ∞. It is a beautiful Euler miniature which neatly illustrates the unexpected twists and turns in the history of mathematics. For Euler's derivation of (1) emerges as the by-product of a solution to a problem in differential geometry concerning the clothoid curve which he had first encountered nearly forty years earlier in his paper E
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6

Meek, D. S., and D. J. Walton. "Clothoid spline transition spirals." Mathematics of Computation 59, no. 199 (1992): 117. http://dx.doi.org/10.1090/s0025-5718-1992-1134736-8.

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7

McCrae, James, and Karan Singh. "Sketching piecewise clothoid curves." Computers & Graphics 33, no. 4 (2009): 452–61. http://dx.doi.org/10.1016/j.cag.2009.05.006.

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8

Walton, D. J., and D. S. Meek. "A controlled clothoid spline." Computers & Graphics 29, no. 3 (2005): 353–63. http://dx.doi.org/10.1016/j.cag.2005.03.008.

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9

Meek, D. S., and R. S. D. Thomas. "A guided clothoid spline." Computer Aided Geometric Design 8, no. 2 (1991): 163–74. http://dx.doi.org/10.1016/0167-8396(91)90042-a.

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10

LI, GUIQING, XIANMIN LI, and HUA LI. "DISCRETE CLOTHOID SPLINE SURFACES ON OPEN MESHES." International Journal of Image and Graphics 01, no. 04 (2001): 575–89. http://dx.doi.org/10.1142/s0219467801000384.

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By introducing a discrete Frenet frame, this paper first proposes 3D discrete clothoid splines to extend the planar discrete clothoid splines of Schneider and Kobbelt. On the basis of 3D discrete clothoid spline curves, discrete clothoid spline surfaces for arbitrary meshes are defined as a generalization of their closed discrete clothoid spline surfaces. Moreover, a discrete mean curvature normal operator instead of the conic surface fitting method is employed to compute curvature values. This induces a new iteration algorithm for generating the discrete clothoid spline surfaces. Since the cu
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11

Miura, Kenjiro T., Sho Suzuki, Shin Usuki та R. U. Gobithaasan. "τ-curve: introduction of cusps to aesthetic curves☆". Journal of Computational Design and Engineering 7, № 2 (2020): 155–64. http://dx.doi.org/10.1093/jcde/qwaa014.

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Abstract Yan, Schiller, Wilensky, Carr, and Schaefer pointed out that one of the demerits of clothoid interpolation is a jumping behavior during the deformation of the curve. This phenomenon occurs because the clothoid curve cannot have a cusp, where the curve is kinked or the direction of the curve is abruptly changed. We discuss how to introduce cusps for the log-aesthetic curve including the clothoid curve and propose to use for the representation of a curve the direction angle instead of curvature and define a new curve named τ-curve, which is defined by the direction angle of the curve.
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12

Bertails-Descoubes, Florence. "Super-Clothoids." Computer Graphics Forum 31, no. 2pt2 (2012): 509–18. http://dx.doi.org/10.1111/j.1467-8659.2012.03030.x.

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13

KORKUT, L., D. ŽUBRINIĆ, and V. ŽUPANOVIĆ. "BOX DIMENSION AND MINKOWSKI CONTENT OF THE CLOTHOID." Fractals 17, no. 04 (2009): 485–92. http://dx.doi.org/10.1142/s0218348x09004570.

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We prove that the box dimension of the standard clothoid is equal to d = 4/3. Furthermore, this curve is Minkowski measurable, and we compute its d-dimensional Minkowski content. Oscillatory dimensions of component functions of the clothoid are also equal to 4/3.
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14

Baran, Ilya, Jaakko Lehtinen, and Jovan Popović. "Sketching Clothoid Splines Using Shortest Paths." Computer Graphics Forum 29, no. 2 (2010): 655–64. http://dx.doi.org/10.1111/j.1467-8659.2009.01635.x.

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15

Bertolazzi, Enrico, and Marco Frego. "Interpolating clothoid splines with curvature continuity." Mathematical Methods in the Applied Sciences 41, no. 4 (2017): 1723–37. http://dx.doi.org/10.1002/mma.4700.

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16

Frego, Marco, and Enrico Bertolazzi. "Point-Clothoid Distance and Projection Computation." SIAM Journal on Scientific Computing 41, no. 5 (2019): A3326—A3353. http://dx.doi.org/10.1137/18m1200439.

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17

Lott, Joyce Greenberg. "Black-Clothed Women." English Journal 80, no. 6 (1991): 102. http://dx.doi.org/10.2307/818595.

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18

Allio, Kirstin. "Clothed, Female Figure." Iowa Review 38, no. 2 (2008): 1–26. http://dx.doi.org/10.17077/0021-065x.6442.

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19

Casati, Romain, and Florence Bertails-Descoubes. "Super space clothoids." ACM Transactions on Graphics 32, no. 4 (2013): 1–12. http://dx.doi.org/10.1145/2461912.2461962.

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20

Meek, D. S., and D. J. Walton. "An arc spline approximation to a clothoid." Journal of Computational and Applied Mathematics 170, no. 1 (2004): 59–77. http://dx.doi.org/10.1016/j.cam.2003.12.038.

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21

Christou, Georgios, Josef Hegger, and Martin Classen. "Fatigue of clothoid shaped rib shear connectors." Journal of Constructional Steel Research 171 (August 2020): 106133. http://dx.doi.org/10.1016/j.jcsr.2020.106133.

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22

Girbés, Vicent, Gloria Vanegas, and Leopoldo Armesto. "Clothoid-Based Three-Dimensional Curve for Attitude Planning." Journal of Guidance, Control, and Dynamics 42, no. 8 (2019): 1886–98. http://dx.doi.org/10.2514/1.g003551.

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23

Brandse, J., M. Mulder, and M. M. van Paassen. "Clothoid-Augmented Trajectories for Perspective Flight-Path Displays." International Journal of Aviation Psychology 17, no. 1 (2007): 1–29. http://dx.doi.org/10.1080/10508410709336934.

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24

Brandse, J., M. Mulder, and M. M. van Paassen. "Clothoid-Augmented Trajectories for Perspective Flight-Path Displays." International Journal of Aviation Psychology 17, no. 1 (2007): 1–29. http://dx.doi.org/10.1207/s15327108ijap1701_1.

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25

Havemann, Sven, Johannes Edelsbrunner, Philipp Wagner, and Dieter Fellner. "Curvature-controlled curve editing using piecewise clothoid curves." Computers & Graphics 37, no. 6 (2013): 764–73. http://dx.doi.org/10.1016/j.cag.2013.05.017.

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26

Cary, Phillip. "Thought Clothed with Sound." Augustinian Studies 35, no. 1 (2004): 142–46. http://dx.doi.org/10.5840/augstudies200435113.

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27

BAKER, P. L. "Clothed in the Faith." Studia Iranica 27, no. 2 (1998): 259–75. http://dx.doi.org/10.2143/si.27.2.2003929.

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28

Raunio, Anna-Mari. "Clothed Landscape of Memories." Design Journal 10, no. 2 (2007): 62–72. http://dx.doi.org/10.2752/146069207789272695.

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29

Otto von Busch. "Mimesis, Clothed in Violence." Contagion: Journal of Violence, Mimesis, and Culture 25 (2018): 79. http://dx.doi.org/10.14321/contagion.25.2018.0079.

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30

LAN, Fengli, Hirofumi TAMAI, and Hiroshi MAKINO. "Interpolation of Arbitrary Point Sequence by Triple Clothoid Curves." Journal of the Japan Society for Precision Engineering 76, no. 10 (2010): 1194–99. http://dx.doi.org/10.2493/jjspe.76.1194.

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31

Vázquez-Méndez, Miguel E., and G. Casal. "The Clothoid Computation: A Simple and Efficient Numerical Algorithm." Journal of Surveying Engineering 142, no. 3 (2016): 04016005. http://dx.doi.org/10.1061/(asce)su.1943-5428.0000177.

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32

Zhuang, Dingxiang, Yan Guo, and Song Chen. "Comparative Study on Thermodynamic and Geochemical Characteristics between Cemented and Clotted Parts of Thrombolite." Crystals 10, no. 11 (2020): 1017. http://dx.doi.org/10.3390/cryst10111017.

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Carbonate rocks are widely distributed in nature and are one of the main reservoir rocks for oil and gas. Microbes play an important role in the formation of carbonate rocks. Compared with the cemented part with fewer microorganisms (abiotic minerals), the nucleation and growth of the clotted part with more microorganisms (biotic minerals) are affected by the metabolic activities of microorganisms, so it has a unique morphology and crystal structure. However, there are still some confusing questions such as ones regarding the unique thermal decomposition characteristics and geochemical charact
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33

Vollmer, John E. "Clothed to Rule the Universe." Art Institute of Chicago Museum Studies 26, no. 2 (2000): 12. http://dx.doi.org/10.2307/4104402.

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34

Cohen, Mark A. H. "Thrombolysis of Clotted Vascular Accesses." Seminars in Dialysis 4, no. 1 (2007): 62–63. http://dx.doi.org/10.1111/j.1525-139x.1991.tb00415.x.

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35

Margulies, David H. "Naked or peptide-clothed MHC?" Nature 342, no. 6246 (1989): 124–25. http://dx.doi.org/10.1038/342124a0.

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36

Stark, Addison Killean. "IR Naked but Visibly Clothed." Joule 3, no. 6 (2019): 1404–6. http://dx.doi.org/10.1016/j.joule.2019.05.019.

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37

Panagia, Davide. "“Words Cloth'd in Reason's Garb”." Political Theory 31, no. 5 (2003): 720–33. http://dx.doi.org/10.1177/0090591703253187.

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38

TAKEMORI, TOSHIKAZU. "A Clothed, Human Thermal System." Sen'i Gakkaishi 52, no. 7 (1996): P279—P283. http://dx.doi.org/10.2115/fiber.52.7_p279.

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39

Bertolazzi, Enrico, and Marco Frego. "G 1 fitting with clothoids." Mathematical Methods in the Applied Sciences 38, no. 5 (2014): 881–97. http://dx.doi.org/10.1002/mma.3114.

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40

Varisco, Daniel Martin. "Clothed-Minded Views on Burqinis." Anthropology News 57, no. 8 (2016): e72-e73. http://dx.doi.org/10.1111/an.96.

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41

Macon, Edwin J. "Alteplase Use for Clotted Catheters." Seminars in Dialysis 15, no. 1 (2002): 72. http://dx.doi.org/10.1046/j.1525-139x.2002.0020b.x.

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42

Meek, D. S., and D. J. Walton. "A note on finding clothoids." Journal of Computational and Applied Mathematics 170, no. 2 (2004): 433–53. http://dx.doi.org/10.1016/j.cam.2003.12.047.

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43

Guan, Manhao, Simon Annaheim, Martin Camenzind, et al. "Moisture transfer of the clothing–human body system during continuous sweating under radiant heat." Textile Research Journal 89, no. 21-22 (2019): 4537–53. http://dx.doi.org/10.1177/0040517519835767.

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Mass transfer due to perspired moisture in a clothing system is critical for the understanding of thermo-physiology and thermal protection of a clothed body. Previous studies usually investigated moisture transfer without considering the effect of liquid sweating or external heat hazards. To understand the mechanisms of sweat evaporation, accumulation and dripping with continuous sweating under radiant heat, a multi-phase experiment was designed with a sweating Torso. The concept of clothed wettedness was proposed to understand sweat evaporation of the clothed body. Results showed that the eva
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44

Shin, D. H., S. Singh, and W. Whittaker. "Path Generation for a Robot Vehicle Using Composite Clothoid Segments." IFAC Proceedings Volumes 25, no. 6 (1992): 443–48. http://dx.doi.org/10.1016/s1474-6670(17)50946-5.

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45

Kim, Y. H., J. B. Park, W. S. Son, and T. S. Yoon. "Modified turn algorithm for motion planning based on clothoid curve." Electronics Letters 53, no. 24 (2017): 1574–76. http://dx.doi.org/10.1049/el.2017.0689.

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46

Gierszewski, Daniel M., Volker Schneider, Patrick J. Lauffs, Lars Peter, and Florian Holzapfel. "Clothoid-Augmented Online Trajectory Generation for Radius to Fix Turns." IFAC-PapersOnLine 51, no. 9 (2018): 174–79. http://dx.doi.org/10.1016/j.ifacol.2018.07.029.

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47

St Antoine, Angelique, Morgan N. Ketterling, BA, William R. Sukov, et al. "Application of Thrombolytic Drugs on Clotted Blood and Bone Marrow Specimens to Generate Usable Cells for Cytogenetic Analyses." Archives of Pathology & Laboratory Medicine 135, no. 7 (2011): 915–19. http://dx.doi.org/10.5858/2010-0085-oar1.1.

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Abstract Context.—Clotted blood and bone marrow specimens account for a large proportion of failed cytogenetic studies. There are no published protocols describing salvage of clotted specimens such that conventional chromosome or fluorescence in situ hybridization (FISH) studies can be performed. Objective.—To evaluate the utility of thrombolytic drugs on clotted blood samples to yield intact cells suitable for cytogenetic analysis. Design.—Five commercially available thrombolytic drugs (alteplase, urokinase, streptokinase, tenecteplase, reteplase) were evaluated in a series of blinded experim
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48

Ismail, Nagham, Nesreen Ghaddar, and Kamel Ghali. "Determination of segmental and overall ventilation of clothed walking human by means of electric circuit analogy." Textile Research Journal 88, no. 5 (2016): 586–601. http://dx.doi.org/10.1177/0040517516685284.

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A new simplified model has been developed to determine the ventilation induced by swinging motion and external wind for a fabric clothed cylinder representing a limb or a trunk. The simplified model is based on an analogy between air flow and an electric circuit. When a clothed body segment is subject to external wind, the microclimate air flow electric circuit is represented by resistances. When the clothed segment is subject to a swinging motion, the air flow electric circuit is composed of inductance and resistance elements. The model is validated by comparing the predicted ventilation rate
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49

Jalal Kamali, Mohammad Hossain, Mohammad Saeed Monajjem, and Mohammad Sadegh Ayubirad. "Studying the effect of spiral curves and intersection angle, on the accident ratios in two-lane rural highways in Iran." PROMET - Traffic&Transportation 25, no. 4 (2013): 343–48. http://dx.doi.org/10.7307/ptt.v25i4.332.

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Safety in highways is one of the most important subjects in Transportation Engineering. Increasing rate of vehicles and the needs to design or geometrically modifying the highways, emphasized on the safe-designing of the roadways more than before. Between the constructive components of the highway, horizontal curves due to the more occurrences of accidents are of great importance. The American ministry of highway and transportation introduced the software IHSDM, with variant capabilities, to predict accidents. In this research, five types of curves (simple circle curve and clothoid-circle-clot
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50

Adkins, Karissa K., Daniel A. Strom, Thomas E. Jacobson, Cara R. Seemann, Darin P. O'Brien, and Ellen M. Heath. "Utilizing Genomic DNA Purified From Clotted Blood Samples for Single Nucleotide Polymorphism Genotyping." Archives of Pathology & Laboratory Medicine 126, no. 3 (2002): 266–70. http://dx.doi.org/10.5858/2002-126-0266-ugdpfc.

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Abstract Context.—Linking single nucleotide polymorphisms to disease etiology is expected to result in a substantial increase in the number of genetic tests available and performed at clinical laboratories. Whole blood serves as the most common DNA source for these tests. Because the number of blood samples rises with the number of genetic tests performed, alternative DNA sources will become important. One such alternative source is clotted blood, a by-product of serum extraction. Efficiently using an already procured blood sample would limit the overall number of samples processed by clinical
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