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Journal articles on the topic 'Stick Theory'

Author: Grafiati

Published: 7 June 2025

Last updated: 17 July 2025

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1

Adams, Colin C., Bevin M. Brennan, Deborah L. Greilsheimer, and Alexander K. Woo. "Stick Numbers and Composition of Knots and Links." Journal of Knot Theory and Its Ramifications 06, no. 02 (1997): 149–61. http://dx.doi.org/10.1142/s0218216597000121.

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We address the concept of stick number for knots and links under various restrictions concerning the length of the sticks, the angles between sticks, and placements of the vertices. In particular, we focus on the effect of composition on the various stick numbers. Ultimately, we determine the traditional stick number for an infinite class of knots, which are the (n,n-1)-torus knots together with all of the possible compositions of such knots. The exact stick number was previously known for only seven knots.

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2

ADAMS, COLIN, MICHELLE CHU, THOMAS CRAWFORD, STEPHANIE JENSEN, KYLER SIEGEL, and LIYANG ZHANG. "STICK INDEX OF KNOTS AND LINKS IN THE CUBIC LATTICE." Journal of Knot Theory and Its Ramifications 21, no. 05 (2012): 1250041. http://dx.doi.org/10.1142/s0218216511009935.

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The cubic lattice stick index of a knot type is the least number of sticks glued end-to-end that are necessary to construct the knot type in the 3-dimensional cubic lattice. We present the cubic lattice stick index of various knots and links, including all (p, p + 1)-torus knots, and show how composing and taking satellites can be used to obtain the cubic lattice stick index for a relatively large infinite class of knots. Additionally, we present several bounds relating cubic lattice stick index to other known invariants.

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3

O'CONNOR, ADAM, BARTLOMIEJ PODLESNY, NERISSA SORIANO, ROLLAND TRAPP, and DIANA WALL. "CLASP MOVES AND STICK NUMBER." Journal of Knot Theory and Its Ramifications 16, no. 09 (2007): 1165–79. http://dx.doi.org/10.1142/s0218216507005749.

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We introduce a geometric construction, called a clasp move, which is used to prove several results on stick numbers of links. In particular, we show that all two-component six-crossing links have stick number 8, produce small crossing number knots that can be constructed with fewer sticks than crossings, and improve known upper bounds for the stick number of certain classes of links.

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4

O'Connor, Dennis, and Albert C. J. Luo. "On Discontinuous Dynamics of a Freight Train Suspension System." International Journal of Bifurcation and Chaos 24, no. 12 (2014): 1450163. http://dx.doi.org/10.1142/s0218127414501636.

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In this paper, a freight train suspension system is presented for all possible types of motion. The suspension system experiences impacts and friction between wedges and bolster. The impacts cause the chatter motions between wedges and bolster, and the friction will cause the stick and nonstick motions between wedges and bolster. Due to the wedge effect, the suspension system may become stuck and not move, which can cause the suspension to lose functions. To discuss such phenomena in the freight train suspension systems, the theory of discontinuous dynamical systems is used, and the motion mec

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5

HUH, YOUNGSIK, and SEUNGSANG OH. "LATTICE STICK NUMBERS OF SMALL KNOTS." Journal of Knot Theory and Its Ramifications 14, no. 07 (2005): 859–67. http://dx.doi.org/10.1142/s0218216505004160.

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Lattice stick number sL(K) is defined to be the minimal number of sticks required to construct a polygonal representation of the knot K in the cubic lattice. In this paper, we give lattice stick numbers of small knots such as 31 and 41. More precisely we prove that sL(31) = 12 and sL(K) ≥ 14 for any other non-trivial knot K.

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6

Joudah, Fady. "Stick Figures." Yale Review 110, no. 3 (2022): 92–94. http://dx.doi.org/10.1353/tyr.2022.0051.

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7

Shanahan, Martin E. R. "Simple Theory of "Stick-Slip" Wetting Hysteresis." Langmuir 11, no. 3 (1995): 1041–43. http://dx.doi.org/10.1021/la00003a057.

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8

Davis, Robert Murray, and Sherman Alexie. "One Stick Song." World Literature Today 74, no. 4 (2000): 901. http://dx.doi.org/10.2307/40156290.

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9

Cong, Xiaomei, Susan M. Ludington-Hoe, and Stephen Walsh. "Randomized Crossover Trial of Kangaroo Care to Reduce Biobehavioral Pain Responses in Preterm Infants: A Pilot Study." Biological Research For Nursing 13, no. 2 (2010): 204–16. http://dx.doi.org/10.1177/1099800410385839.

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Kangaroo care (KC), skin-to-skin contact between mother and infant, is a promising method for blunting pain responses. This crossover pilot tested KC effects on biobehavioral responses to heel stick in preterm infants (30—32 weeks’ gestational age, 2—9 days old) measured by Premature Infant Pain Profile (PIPP) and salivary and serum cortisol. Mother—infant dyads were randomly assigned to KC heel stick (KCH) first or incubator heel stick (IH) first. Study 1 (80-min study, N = 18) tested the effect of 80 min of KC before and throughout the heel stick procedure versus incubator care. Study 2 (30-

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10

ADAMS, COLIN, DAN COLLINS, KATHERINE HAWKINS, CHARMAINE SIA, ROB SILVERSMITH, and BENA TSHISHIKU. "PLANAR AND SPHERICAL STICK INDICES OF KNOTS." Journal of Knot Theory and Its Ramifications 20, no. 05 (2011): 721–39. http://dx.doi.org/10.1142/s0218216511008954.

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The stick index of a knot is the least number of line segments required to build the knot in space. We define two analogous 2-dimensional invariants, the planar stick index, which is the least number of line segments in the plane to build a projection, and the spherical stick index, which is the least number of great circle arcs to build a projection on the sphere. We find bounds on these quantities in terms of other knot invariants, and give planar stick and spherical stick constructions for torus knots and for compositions of trefoils. In particular, unlike most knot invariants, we show that

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11

Wu, Fatima, Ma Jian, and Flora Drew. "Stick out Your Tongue." World Literature Today 80, no. 5 (2006): 65. http://dx.doi.org/10.2307/40159204.

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12

Putri, Vira Milya. "Implementation Of Talking Stick Technique In Teaching English Speaking At X Grade Students Of Smkn 1 Solok." RiELT Journal 7, no. 2 (2022): 117–28. http://dx.doi.org/10.15548/rielt.v7i2.4024.

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The implementation of interesting learning techniques by the teacher can help students to be more enthusiastic about learning to speak English. One of them is with the teacher implementing the talking stick technique in learning to speak. The researcher found that the teacher who had applied the talking stick technique in learning to speak English was the teacher at the 1 Solok vocational high school. The object of this research is to analyze how the English teacher applies the talking stick technique in teaching speaking in the tenth grade of SMKN 1 Solok based on the steps and procedures of

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13

Bromfield, M. A., and G. B. Gratton. "Factors affecting the apparent longitudinal stick-free static stability of a typical high-wing light aeroplane." Aeronautical Journal 116, no. 1179 (2012): 467–99. http://dx.doi.org/10.1017/s0001924000006990.

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Abstract Flying a light aeroplane involves a combination of pilot and aeroplane performing a set task, within a specific environment. The pilot is continuously sampling and selecting available sensory cues, interpreting those cues, making decisions and manipulating the primary controls (stick and rudder) to safely achieve flying objectives. The ‘feel’ of an aeroplane (a flying quality) is directly associated with the stick and rudder forces and how the aeroplane responds to control inputs. Classical theory has been applied to estimate the apparent (as felt by the pilot) longitudinal stick-free

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14

West, Stephanie. "Archilochus' Message-stick." Classical Quarterly 38, no. 1 (1988): 42–48. http://dx.doi.org/10.1017/s0009838800031244.

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The second line of the poem in which Archilochus related his fable of the fox and the ape was a source of perplexity to Hellenistic scholars. According to Athenaeus Apollonius Rhodius explained it by reference to the Spartan practice of winding official dispatches round a staff or baton: ὅτι δ λευκῷ ἱμντι περιειλοντες τν σκυτλην οἱ Λκωνες ἔγρφον ἅ ἠβολοντο εἴρηκεν ἱκανς Ἀπολλώνιος Ῥδιος ν τῷ περ Ἀρχιλχου. This interpretation evidently failed to satisfy Aristophanes of Byzantium, who wrote a monograph (σγγραμμα) περ τς χνυμνης σκυτλη' view has held the field.

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15

NODA, Keita, and Yosiyuki TANAKA. "1A1-P09 Hand-free stick based on ZMP theory." Proceedings of JSME annual Conference on Robotics and Mechatronics (Robomec) 2015 (2015): _1A1—P09_1—_1A1—P09_2. http://dx.doi.org/10.1299/jsmermd.2015._1a1-p09_1.

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16

Luo, Albert C. J., and Brandon C. Gegg. "On the Mechanism of Stick and Nonstick, Periodic Motions in a Periodically Forced, Linear Oscillator With Dry Friction." Journal of Vibration and Acoustics 128, no. 1 (2005): 97–105. http://dx.doi.org/10.1115/1.2128644.

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In this paper, the dynamics mechanism of stick and nonstick motion for a dry-friction oscillator is discussed. From the theory of Luo in 2005 [Commun. Nonlinear Sci. Numer. Simul., 10, pp. 1–55], the conditions for stick and nonstick motions are achieved. The stick and nonstick periodic motions are predicted analytically through the appropriate mapping structures. The local stability and bifurcation conditions for such periodic motions are obtained. The stick motions are illustrated through the displacement, velocity, and force responses. This investigation provides a better understanding of s

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17

Gigante, Denise. "Sometimes a Stick is Just a Stick: The Essay as (Organic) Form." European Romantic Review 21, no. 5 (2010): 553–65. http://dx.doi.org/10.1080/10509585.2010.499005.

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18

Lee, Hwa Jeong, Sungjong No, and Seungsang Oh. "Stick numbers of Montesinos knots." Journal of Knot Theory and Its Ramifications 30, no. 03 (2021): 2150013. http://dx.doi.org/10.1142/s0218216521500139.

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Negami found an upper bound on the stick number [Formula: see text] of a nontrivial knot [Formula: see text] in terms of the minimal crossing number [Formula: see text]: [Formula: see text]. Huh and Oh found an improved upper bound: [Formula: see text]. Huh, No and Oh proved that [Formula: see text] for a [Formula: see text]-bridge knot or link [Formula: see text] with at least six crossings. As a sequel to this study, we present an upper bound on the stick number of Montesinos knots and links. Let [Formula: see text] be a knot or link which admits a reduced Montesinos diagram with [Formula: s

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19

Ojaide, Tanure. "A Woman Wielding a Stick." World Literature Today 74, no. 3 (2000): 518. http://dx.doi.org/10.2307/40155818.

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20

Maegawa, Satoru, Xiaoxu Liu, and Fumihiro Itoigawa. "Discussion of Stick-Slip Dynamics of 2DOF Sliding Systems Based on Dynamic Vibration Absorbers Analysis." Lubricants 10, no. 6 (2022): 113. http://dx.doi.org/10.3390/lubricants10060113.

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In this study, we discussed the occurrence condition stick-slip model based on a 2DOF system, in which a 1DOF system model commonly used in stick-slip analysis was attached on an elastic foundation. Specifically, the effects of the mass, stiffness, and damping coefficient of the elastic foundation on the occurrence and non-occurrence of stick-slip were investigated. It was found that when the elastic foundation parameters were determined based on the optimal parameter tuning method of the dynamic vibration absorber (DVA) theory, the range of stick-slip occurrences reduced compared to the slidi

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21

LUO, ALBERT C. J., and DENNIS O'CONNOR. "MECHANISM OF IMPACTING CHATTER WITH STICK IN A GEAR TRANSMISSION SYSTEM." International Journal of Bifurcation and Chaos 19, no. 06 (2009): 2093–105. http://dx.doi.org/10.1142/s0218127409023937.

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In this paper, an investigation on nonlinear dynamical behaviors of a transmission system with a gear pair is conducted. The transmission system is described through an impact model with a possible stick between the two gears. From the theory of discontinuous dynamical systems, the motion mechanism of impacting chatter with stick is investigated. The onset and vanishing conditions of stick motions are developed, and the condition for maintaining the stick motion is achieved as well. The corresponding physics interpretation is given for a better understanding of nonlinear behaviors of gear tran

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22

Wang, Yanzhao, Guobin Xu, Zhicheng Liu, and Deming Yang. "Experimental Study on the Slip–Stick Vibration of Plane Gate." Water 16, no. 6 (2024): 912. http://dx.doi.org/10.3390/w16060912.

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The slip–stick vibration intensity of a plane gate is usually large, which often brings serious safety risks to itself and the auxiliary structure. The slip–stick vibration of a plane gate is investigated using an experimental model test. The test conditions mainly focus on the gate-closing and gate-opening processes in transient flow. Based on the results, comparison diagrams of the slip–stick vibration response versus the external fluid excitation are constructed. The intensity and period of the slip–stick vibration both gradually increase with the opening degree of the plane gate decreasing

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23

Djerassi, S. "Stick-Slip, Imposition-Removal of Constraints and the Spinning Ball Problem." Journal of Applied Mechanics 67, no. 4 (2000): 720–26. http://dx.doi.org/10.1115/1.1334861.

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It has been observed that balls pressed between elastic bodies spin when subjected to linear, cyclic motion. This paper proposes an explanation to this phenomenon, based upon the stick-slip theory. To this end, a modified, vectorial formulation of the stick-slip theory is presented. The formulation is applied to a model comprising a ball pressed between pairs of springs and dampers. A computer program based on this formulation is used to predict the resulting motion. Predictions are shown to agree with experimental results. [S0021-8936(01)00701-2]

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24

Minkin, Leonid, and Anthony C. Zable. "From Balancing a Stick to Tightrope Walking: How Added Mass Influences the Act of Balancing." Physics Teacher 60, no. 7 (2022): 549–53. http://dx.doi.org/10.1119/10.0014300.

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Physics-related tricks that use simple everyday materials, which many children attempt, are often entertaining, memorable, and motivate their interest to physics. One example is balancing a stick on a fingertip or open palm (Fig. 1). To balance a stick, there are two important aspects that must be considered: i) the rotational dynamics of the stick as it falls to one side, while the finger (pivot) is stationary, and ii) the human response to this process. The latter aspect is linked with feedback control theory, human time-delayed response, gaze location (where a person looks at the stick), an

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25

YAO, Yuan. "Theory of Stick-slip Vibration and Its Application in Locomotive." Journal of Mechanical Engineering 46, no. 24 (2010): 75. http://dx.doi.org/10.3901/jme.2010.24.075.

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26

INAO, Yuuki, Keita NODA, and Yooshiyuki TANAKA. "Prototype development of hand-free-stick based on ZMP theory." Proceedings of JSME annual Conference on Robotics and Mechatronics (Robomec) 2016 (2016): 2A2–14a4. http://dx.doi.org/10.1299/jsmermd.2016.2a2-14a4.

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27

Favata, Antonino, Andrea Micheletti, and Paolo Podio-Guidugli. "A nonlinear theory of prestressed elastic stick-and-spring structures." International Journal of Engineering Science 80 (July 2014): 4–20. http://dx.doi.org/10.1016/j.ijengsci.2014.02.018.

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28

Sandholtz, Kurt W. "Making Standards Stick: A Theory of Coupled vs. Decoupled Compliance." Organization Studies 33, no. 5-6 (2012): 655–79. http://dx.doi.org/10.1177/0170840612443623.

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29

Klamecki, Barney E. "A catastrophe theory description of stick-slip motion in sliding." Wear 101, no. 4 (1985): 325–32. http://dx.doi.org/10.1016/0043-1648(85)90136-x.

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30

Blair, Ryan, Thomas D. Eddy, Nathaniel Morrison, and Clayton Shonkwiler. "Knots with exactly 10 sticks." Journal of Knot Theory and Its Ramifications 29, no. 03 (2020): 2050011. http://dx.doi.org/10.1142/s021821652050011x.

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We prove that the knots [Formula: see text] and [Formula: see text] both have stick number 10. These are the first non-torus prime knots with more than 9 crossings for which the exact stick number is known.

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31

Luo, A. C. J., and D. O'Connor. "Impacting chatter and stick in a transmission system with two oscillators." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 223, no. 3 (2009): 159–88. http://dx.doi.org/10.1243/14644193jmbd202.

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In this article, an investigation on non-linear dynamical behaviours of a transmission system with a gear pair is conducted. The transmission system is described through an impact model with a possible stick between the two gears. From the theory of discontinuous dynamical systems, the motion mechanism of impacting chatter with stick is investigated. The onset and vanishing conditions for stick motions are developed, and the condition for maintaining stick motion is obtained as well. The corresponding physical interpretation is given for a better understanding of non-linear behaviours of gear

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32

Leine, R. I., D. H. van Campen, and W. J. G. Keultjes. "Stick-slip Whirl Interaction in Drillstring Dynamics." Journal of Vibration and Acoustics 124, no. 2 (2002): 209–20. http://dx.doi.org/10.1115/1.1452745.

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This paper attempts to explain the complicated behavior of oilwell drillstring motion when both torsional stick-slip and lateral whirl vibration are involved. It is demonstrated that the observed phenomena in experimental drillstring data could be due to the fluid forces of the drilling mud. A Stick-slip Whirl Model is presented which consists of a submodel for the whirling motion and a submodel for the stick-slip motion, both as simple as possible. The Stick-slip Whirl Model is a simplification of a drillstring confined in a borehole wall with drilling mud. The model is as simple as possible

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33

JOHNSON, MARIBETH, STACY NICOLE MILLS, and ROLLAND TRAPP. "STICK AND RAMSEY NUMBERS OF TORUS LINKS." Journal of Knot Theory and Its Ramifications 22, no. 07 (2013): 1350027. http://dx.doi.org/10.1142/s0218216513500272.

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An algorithm that produces polygonal cable links is described, and applications discussed. In particular, the stick numbers of Tp,q torus links are shown to be 4p for 2p < q ≤ 3p, and it is shown that, in general, [Formula: see text]. Further, it is shown that the Ramsey number of a link is at least the sum of its arc index and bridge number. Using these results, we relate the Ramsey, stick and crossing numbers of torus links, showing [Formula: see text].

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34

Revenga, M., I. Zúñiga, P. Español, and I. Pagonabarraga. "Boundary Models in DPD." International Journal of Modern Physics C 09, no. 08 (1998): 1319–28. http://dx.doi.org/10.1142/s0129183198001199.

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We present a model for treating solid boundaries of a DPD fluid. The basic idea is to model the stick boundary conditions by assuming that a layer of DPD particles is stuck on the boundary. By taking a continuum limit of this layer effective dissipative and stochastic forces on the fluid DPD particles are obtained. The boundary model is tested by a simulation of planar Couette flow which allows the performance of vicosimetric measurements. We analyze the conditions that ensure a proper stick boundary condition for an impenetrable wall, comparing with previous methods used.

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35

Wang, Liang, Heran Wang, Yaxun Zhang, Zhanbao Qiu, and Tinghai Cheng. "Development of a piezoelectric actuator based on stick–slip principle inspired by the predation of snake." Review of Scientific Instruments 94, no. 2 (2023): 025003. http://dx.doi.org/10.1063/5.0134324.

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A new piezoelectric actuator based on the stick–slip working principle inspired by the predation of the snake is proposed and developed in this work. A lead zirconate titanate (PZT) stack is used and inserted into the stator with an asymmetric configuration. Then, the elongation of the PZT stack can be transmitted into the vertical and horizontal displacements on the driving foot. They are used to press and drive the slider, respectively. In this design, the motion of the actuator imitates the predation process of the snake. The principle of the proposed actuator is clarified in detail. The st

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36

Vervoort. "Probability Theory as a Physical Theory Points to Superdeterminism." Entropy 21, no. 9 (2019): 848. http://dx.doi.org/10.3390/e21090848.

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Probability theory as a physical theory is, in a sense, the most general physics theory available, more encompassing than relativity theory and quantum mechanics, which comply with probability theory. Taking this simple fact seriously, I argue that probability theory points towards superdeterminism, a principle that underlies, notably, ‘t Hooft’s Cellular Automaton Interpretation of quantum mechanics. Specifically, I argue that superdeterminism offers a solution for: (1) Kolmogorov’s problem of probabilistic dependence; (2) the interpretation of the Central Limit Theorem; and (3) Bell’s theore

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37

Wang, Yong, Hongjian Ni, Yiliu (Paul) Tu, et al. "Experimental Study on Axial Impact Mitigating Stick-Slip Vibration with a PDC Bit." Shock and Vibration 2021 (February 5, 2021): 1–8. http://dx.doi.org/10.1155/2021/8897283.

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Stick-slip vibration reduces the drilling rate of penetration, causes early wear of bits, and threatens the safety of downhole tools. Therefore, it is necessary to study suppression methods of stick-slip vibration to achieve efficient and safe drilling. Field tests show that the use of downhole axial impactors is helpful to mitigate stick-slip vibration and improve rock-breaking efficiency. However, there are many deficiencies in the study of how axial impact load affects stick-slip vibration of a PDC bit. In this paper, based on the two-degrees-of-freedom spring-mass-damper model and similari

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38

Alam, M. A., N. Pimparkar, S. Kumar, and J. Murthy. "Theory of Nanocomposite Network Transistors for Macroelectronics Applications." MRS Bulletin 31, no. 6 (2006): 466–70. http://dx.doi.org/10.1557/mrs2006.120.

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AbstractA new class of nanocomposite network materials based on carbon nanotubes or silicon nanowires for thin-film transistors promises significant improvement in the performance of large-area electronics, or macroelectronics. Evaluation of this novel materials technology requires the development of device models. A multicomponent heterogeneous stick-percolation theory is used to show that the key features of this new transistor technology are the consequences of the percolating spatial geometry of the nanosticks (nanotubes, nanorods, or nanowires) that form the channel.

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39

Budiwati, Anisah. "TONGKAT ISTIWA‘, GLOBAL POSITIONING SYSTEM (GPS) DAN GOOGLE EARTH UNTUK MENENTUKAN TITIK KOORDINAT BUMI DAN APLIKASINYA DALAM PENENTUAN ARAH KIBLAT." Al-Ahkam 26, no. 1 (2016): 65. http://dx.doi.org/10.21580/ahkam.2016.26.1.808.

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<p>There are at least three ways to determine the position or the coordinates of a spot on the Earth's surface. They are: istiwa' sticks, Global Positioning System (GPS), and Google Earth. Istiwa' stick is used without technology operations, while GPS and Google Earth are used with technology. Until now, the use of GPS and Google Earth is still a passively consumptive, without their critical analytical effort. This qualitative research using descriptive analytic mathematical methods. The objective of this study is the to know the theory, applications, and accuracy of the istiwa' stick, G

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40

Harvey, Jen. "Ball and Stick 3.0." Bioinformatics 9, no. 2 (1993): 238–39. http://dx.doi.org/10.1093/bioinformatics/9.2.238.

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41

Chalisha, Nur, and Rahma Amir. "Penentuan Arah Kiblat Dengan Penerapan teori trigonometri Bola di Kematan Sinjai Utara Kabupaten Sinjai." HISABUNA: Jurnal Ilmu Falak 1, no. 2 (2020): 54–77. http://dx.doi.org/10.24252/hisabuna.v1i2.15271.

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There are various methods in measuring Qibla, but the method that is generally used in determining the direction of the Qibla in mosques in North Sinjai District, Sinjai Regency is the application of tools such as the Qiblat Tracker and the Qibla Compass. Apart from these two tools, there is a spherical trigonometric theory which then applies the theory using the Stick Istiwa 'tool to take measurements at mosques. This theory uses calculations by utilizing a triangle on a sphere that connects the three points that are the reference in the calculation. The results of calculations from the trigo

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42

Lin, Yi-Chien, Pansy Chung, Ron Chuen Yeh, and Yi-Cheng Chen. "An Empirical Study of College Students’ Learning Satisfaction and Continuance Intention to Stick with a Blended e-Learning Environment." International Journal of Emerging Technologies in Learning (iJET) 11, no. 02 (2016): 63. http://dx.doi.org/10.3991/ijet.v11i02.5078.

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Based upon the expectation-confirmation theory (ECT), this study propose a theoretical model that examines the impacts of the critical antecedents on college student English learning satisfaction and continuance intention to stick with a blended e-learning environment. The model was validated using a questionnaire survey of 313 college students. The researchers applied the partial least squares (PLS) method to validate the measurement properties and proposed hypotheses of the proposed research model. The findings indicate that, in general, college students are satisfactory with and show positi

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43

HUH, YOUNGSIK, and SEUNGSANG OH. "AN UPPER BOUND ON STICK NUMBER OF KNOTS." Journal of Knot Theory and Its Ramifications 20, no. 05 (2011): 741–47. http://dx.doi.org/10.1142/s0218216511008966.

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In 1991, Negami found an upper bound on the stick number s(K) of a nontrivial knot K in terms of crossing number c(K) which is s(K) ≤ 2c(K). In this paper we give a new upper bound in terms of arc index, and improve Negami's upper bound to [Formula: see text]. Moreover if K is a nonalternating prime knot, then [Formula: see text].

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44

Wang, Long, Zhengbo Han, Jinduo Wang, Liurui Guo, and Rui Li. "Analysis on the dynamic characteristics of stick-slip vibration in deep well drill string system." Thermal Science, no. 00 (2024): 40. http://dx.doi.org/10.2298/tsci230721040w.

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In this paper, based on the nonlinear mechanics theory of the drill pipe, a mechanical model of stick-slip vibration of the drill pipe has been established by considering the torsional properties of the drill pipe, kinetic energy and the motion law of the bit. The example calculations and sensitivity analysis of the parameters are carried out. The results show that increasing the rotational speed, viscous damping, length of the drill collar and de-creasing the weight of bit (WOB) have the effect of suppressing the stick-slip vibration.

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Khomenko, A. V. "Stochastic Theory of Ultrathin Lubricant Film Melting in the Stick-Slip Regime." Technical Physics 50, no. 11 (2005): 1408. http://dx.doi.org/10.1134/1.2131946.

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Huang, Jyun-Wei, and Chieh-Peng Lin. "To stick or not to stick: The social response theory in the development of continuance intention from organizational cross-level perspective." Computers in Human Behavior 27, no. 5 (2011): 1963–73. http://dx.doi.org/10.1016/j.chb.2011.05.003.

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Meinhart, Mark, Norman Miller, and M. Taher A. Saif. "Dry stiction of micro structures—theory and experiment." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 462, no. 2066 (2005): 567–85. http://dx.doi.org/10.1098/rspa.2005.1575.

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It is well known that compliant freestanding microstructures often stick to the underlying substrate due to capillary pull during wet processing. Hence, it is generally believed that dry processing, which involves only gases, avoids stiction. Contrary to this expectation, here we show experimentally that stiction may also occur during dry processing. We investigate both experimentally and theoretically possible origins of the force that brings the microstructures into contact leading to stiction in a dry environment. The study suggests that aerodynamic drag is the primary force that is respons

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Et. al., R. Bhavani ,. "Development of a smart walking stick for visually impaired people." Turkish Journal of Computer and Mathematics Education (TURCOMAT) 12, no. 2 (2021): 999–1005. http://dx.doi.org/10.17762/turcomat.v12i2.1112.

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One of the major issue faced by blind people are moving from one place to another. Also they get stress while walking along bad conditions of the road. All the time, they are alerted by others to avoid obstacles, staircases and wet terrain. This paper addresses the above issues of blind people with the intervention of technology. Also proffer the development of an electronic stick for blind person to assist them gain self-sufficiency. In the proposed model, an electronic stick was consolidated with an ultrasonic transducer, water circuit and RF transmitter and receiver module. The ultrasonic s

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Müller, Andreas, Patrik Vogt, and Jochen Kuhn. "A model experiment on the modern microscopic theory of sliding friction." Physics Teacher 61, no. 4 (2023): 308–9. http://dx.doi.org/10.1119/5.0146466.

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According to modern understanding, sliding friction is caused by the displacement of the irregularities and individual atoms in the interaction zone of the sliding interfaces, leading to microscopic oscillations around the equilibrium position (the stick/slip model of Tomlinson). This is in contrast to the traditional account of sliding friction (static interlocking asperities), which in fact is insufficient (see online Appendix for more information about the theoretical background and its development).

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Chiaia, Bernardino, and Mauro Borri-Brunetto. "Multiscale Modelling of Stick-Slip Transition of Rough (Fractal) Surfaces." Materials Science Forum 539-543 (March 2007): 2594–600. http://dx.doi.org/10.4028/www.scientific.net/msf.539-543.2594.

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The apparent shear strength of rock discontinuities is lower than that of small scale samples. At the same time, the sliding behavior is characterized, in situ, by marked instabilities. Numerical algorithms permit to calculate contact forces at any point, and to describe the stick-slip transition. On the other hand, the critical aspects are not captured by classical theories. Multiscale simulations show that the contact domain between rough surfaces is a lacunar set. This explains the size-dependence of the apparent friction coefficient. By applying an increasing tangential force, the regime o

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