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Journal articles on the topic 'Degree of knot tightness'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Zhou, Yu, and Xin Zhong Lu. "The Application of Crime Network Conspirator Finding Model." Applied Mechanics and Materials 513-517 (February 2014): 420–23. http://dx.doi.org/10.4028/www.scientific.net/amm.513-517.420.

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This paper discusses how to find out conspirators when only know the topics of messages they sent and received. In order to determine the weight of every topic, we establish AHP model and CNC (Crime Network conspirator finding) model to define possibility, which includes three parameters: the relative connection degreeC(h) , the relative intermediate degree I and the I(h)relative tightness degreeT(h). After that, obtaining scores by synthesizing these three degrees and get a prior list. Through analyzing the list, we can determine the suspected conspirators.

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2

Barszcz, Anna, Anna Sandak, and Jakub Sandak. "Size and localisation of knots in timber from mountain spruce stands in the Dolomites." Folia Forestalia Polonica, Series A - Forestry 52(1) (September 8, 2015): 13–19. https://doi.org/10.5281/zenodo.30608.

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The aim of the study was evaluation of knots in wood of 150-year-old Norway spruce [Picea abies (L.) Karst.] in stands situated at the altitude of 1450– 1740 m above sea level in the Dolomites in Italian section of the Alps. In selected stands, spruce trees were cut down and their length, stem thickness, height to the crown base and stem diameters at every 1 m along the length of merchantable bole were measured. The diameter of knots was measured and they were classified according to their healthiness and the degree of their tightness with the surrounding wood. The relative knot diameter

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3

Fanous, Medhat, Jeremy Warren, and William Cobb. "Superiority of Roeder’s Knot for Fascial Mesh Fixation in a Cadaveric Model." Surgical Innovation 24, no. 4 (2017): 365–68. http://dx.doi.org/10.1177/1553350617697182.

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Objective. This study compares the use of Roeder’s knot (1:3:1, 1 hitch, 3 winds, and 1 locking hitch) to the surgeon’s knot regarding the security of the knot and predictability of its position. Method. A polypropylene mesh was secured to the undersurface of the abdominal wall of a fresh frozen cadaver using tacks. Eight standardized transfascial sutures were performed. Four of them were secured with surgeon’s knot and the remaining 4 were tied with Roeder’s knot. A Mosquito hemostat was placed between the mesh and the stitch loop and the distance between its jaws was measured. We then create

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4

Puspasari, Dewi, Evi Sri Nurhastuti, and Pradiptya Septyanti Putri. "The Relationship Between Job Characteristics With Work Motivation Of PT. Pionirbeton Plant Cimareme Bandung." In Search 20, no. 1 (2021): 1–11. http://dx.doi.org/10.37278/insearch.v20i1.389.

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Which factors are low work ability, misguided work. Whether or not there is, the large or small existence between the numbers is very up to the perception of the perception of employees. This research aims to know about the tightness of the relationship between the work and farming staff of employees of PT Perintisbeton Indutri Plant Cimareme Bandung. The hypothesis behind this study is again the negative perception of employees about the function of their work, the lower the average work. The first variable in this study is work and work is also how it works. The measuring instrument that sin

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5

Zhang, Liang, Jean-François Lemonnier, Angela Acocella, Matteo Calvaresi, Francesco Zerbetto, and David A. Leigh. "Effects of knot tightness at the molecular level." Proceedings of the National Academy of Sciences 116, no. 7 (2019): 2452–57. http://dx.doi.org/10.1073/pnas.1815570116.

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Three 819 knots in closed-loop strands of different lengths (∼20, 23, and 26 nm) were used to experimentally assess the consequences of knot tightness at the molecular level. Through the use of 1H NMR, diffusion-ordered spectroscopy (DOSY), circular dichroism (CD), collision-induced dissociation mass spectrometry (CID-MS) and molecular dynamics (MD) simulations on the different-sized knots, we find that the structure, dynamics, and reactivity of the molecular chains are dramatically affected by the tightness of the knotting. The tautness of entanglement causes differences in conformation, enha

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Kočinac, Ljubiša D. R., Farkhod G. Mukhamadiev, and Anvar K. Sadullaev. "Tightness-Type Properties of the Space of Permutation Degree." Mathematics 10, no. 18 (2022): 3341. http://dx.doi.org/10.3390/math10183341.

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In this paper we, prove that if the product Xn of a space X has certain tightness-type properties, then the space of permutation degree SPnX has these properties as well. It is proven that the set tightness (T-tightness) of the space of permutation degree SPnX is equal to the set tightness (T-tightness) of the product Xn.

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7

Jolly, Phillip M., Hubert Van Hoof, Feier Chen, et al. "Quantifying cultural tightness-looseness in Ecuador." PLOS ONE 16, no. 1 (2021): e0246064. http://dx.doi.org/10.1371/journal.pone.0246064.

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Cultural tightness-looseness represents the degree to which a particular culture possesses strong behavioral norms, and the degree to which members of that culture are likely to sanction individuals who deviate from those norms. While tightness-looseness has been quantified for a large and growing number of countries around the world, there are many countries where a tightness-looseness score has yet to be determined, thus impeding the inclusion of those countries in cross-cultural research with a tightness-looseness focus. There is a dearth of research on cultural tightness-looseness in South

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8

Shimizu, Ayaka. "Prime alternating knots of minimal warping degree two." Journal of Knot Theory and Its Ramifications 29, no. 08 (2020): 2050060. http://dx.doi.org/10.1142/s0218216520500601.

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The warping degree of an oriented knot diagram is the minimal number of crossing changes which are required to obtain a monotone diagram from the diagram. The minimal warping degree of a knot is the minimal value of the warping degree for all oriented minimal diagrams of the knot. In this paper, all prime alternating knots with minimal warping degree two are determined.

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9

Beshimov, R. B., D. N. Georgiou та N. K. Mamadaliev. "On τ-bounded spaces and hyperspaces". Filomat 36, № 1 (2022): 187–93. http://dx.doi.org/10.2298/fil2201187b.

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In this paper, we prove facts and properties on ?-bounded spaces, which are introduced in [10]. More precisely, we prove that an arbitrary product of ?-bounded spaces is ? bounded and vice versa, and that the ?-bounded property is preserved by ?-continuous maps. In particular, continuous maps preserve ?-bounded spaces. Moreover, we investigate the behavior of the minimal tightness and functional tightness of topological spaces under the influence of an exponential functor of finite degree. It is proved that this functor preserves the functional tightness and the minimal tightness of compact se

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10

Li, Zhiguo, Fengchun Lei, and Jie Wu. "On the unknotting number of a welded knot." Journal of Knot Theory and Its Ramifications 26, no. 01 (2017): 1750004. http://dx.doi.org/10.1142/s0218216517500043.

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The unknotting number of a welded knot is considered. First, we obtain an upper-bound of the unknotting number of a welded knot by using the warping degree method. Further, we introduce a standard welded torus knot with welded datum and obtain an upper bound of the unknotting number by an algorithm with warping degree method. Secondly, we get a lower bound of the unknotting number of a welded knot by Alexander quandle colorings. Finally, we give a definition of Gordian distance for welded knots analogous to the classical case.

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Sederberg, Thomas W., Jianmin Zheng, and Xiaowen Song. "Knot intervals and multi-degree splines." Computer Aided Geometric Design 20, no. 7 (2003): 455–68. http://dx.doi.org/10.1016/s0167-8396(03)00096-7.

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12

Cvetkovic, Dragos, and Tatjana Davidovic. "Application of some graph invariants to the analysis of multiprocessor interconnection networks." Yugoslav Journal of Operations Research 18, no. 2 (2008): 173–86. http://dx.doi.org/10.2298/yjor0802173c.

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Let G be a graph with diameter D, maximum vertex degree ?, the largest eigenvalue ?1 and m distinct eigenvalues. The products m? and (D+1) ?1 are called the tightness of G of the first and second type, respectively. In the recent literature it was suggested that graphs with a small tightness of the first type are good models for the multiprocessor interconnection networks. We study these and some other types of tightness and some related graph invariants and demonstrate their usefulness in the analysis of multiprocessor interconnection networks. Tightness values for graphs of some standard int

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13

Midgett, Madeline, Sevan Goenezen, and Sandra Rugonyi. "Blood flow dynamics reflect degree of outflow tract banding in Hamburger–Hamilton stage 18 chicken embryos." Journal of The Royal Society Interface 11, no. 100 (2014): 20140643. http://dx.doi.org/10.1098/rsif.2014.0643.

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Altered blood flow during embryonic development has been shown to cause cardiac defects; however, the mechanisms by which the resulting haemodynamic forces trigger heart malformation are unclear. This study used heart outflow tract banding to alter normal haemodynamics in a chick embryo model at HH18 and characterized the immediate blood flow response versus the degree of band tightness. Optical coherence tomography was used to acquire two-dimensional longitudinal structure and Doppler velocity images from control ( n = 16) and banded ( n = 25, 6–64% measured band tightness) embryos, from whic

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14

Fan, Miaomiao, Jiangzhou Li, Kuai Dai, et al. "Root-Knot Density as a New Index Can Quantitatively Diagnose the Damage of Root Nematodes to Plant Growth." Agronomy 13, no. 1 (2022): 136. http://dx.doi.org/10.3390/agronomy13010136.

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Root-knot nematode disease occurs frequently due to continuous monocropping and excessive water and nitrogen input. The disease degree and gall index are often used to evaluate the damage of root-knot disease. However, the weak correlation between these two indicators to tobacco leaf dry weight has often been reported. The objective of this study was to verify whether the use of the root-knot density (RKD)—the root-knot number per unit root weight or volume—as a new indicator could describe the damage of root-knot disease to tobacco growth and yield quantitatively. A total of 3000 tobacco plan

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15

Zulli, Louis. "The Rank of the Trip Matrix of a Positive Knot Diagram." Journal of Knot Theory and Its Ramifications 06, no. 02 (1997): 299–301. http://dx.doi.org/10.1142/s0218216597000194.

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In this note we show that the rank of the trip matrix of a positive knot diagram is exactly twice the genus of the associated positive knot. From this, we give a quick proof of the following result of Murasugi: The term of lowest degree in the Jones polynomial of a positive knot is 1 · tg, where g is the genus of the knot.

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IM, YOUNG HO, SERA KIM, and DONG SOO LEE. "THE PARITY WRITHE POLYNOMIALS FOR VIRTUAL KNOTS AND FLAT VIRTUAL KNOTS." Journal of Knot Theory and Its Ramifications 22, no. 01 (2013): 1250133. http://dx.doi.org/10.1142/s0218216512501337.

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We introduce a polynomial invariant with two variables for an oriented virtual knot, which refines the odd writhe polynomial with one variable due to Cheng by using a modified version of the warping degree. Our invariant is a Vassiliev invariant of degree one, reduces to one variable for a checkerboard colorable virtual knot, vanishes for classical knots, and detects non-invertibility and non-amphicheirality for some cases. We raise some examples to show effectiveness of our invariant. Moreover we define a similar invariant for a flat virtual knot.

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TRAN, ANH T. "ON THE TWISTED ALEXANDER POLYNOMIAL FOR REPRESENTATIONS INTO SL2(ℂ)". Journal of Knot Theory and Its Ramifications 22, № 10 (2013): 1350059. http://dx.doi.org/10.1142/s0218216513500594.

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We study the twisted Alexander polynomial ΔK,ρ of a knot K associated to a non-abelian representation ρ of the knot group into SL2(ℂ). It is known for every knot K that if K is fibered, then for every non-abelian representation, ΔK,ρ is monic and has degree 4g(K) – 2 where g(K) is the genus of K. Kim and Morifuji recently proved the converse for 2-bridge knots. In fact they proved a stronger result: if a 2-bridge knot K is non-fibered, then all but finitely many non-abelian representations on some component have ΔK,ρ non-monic and degree 4g(K) – 2. In this paper, we consider two special famili

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18

SHIMIZU, AYAKA. "THE WARPING DEGREE OF A KNOT DIAGRAM." Journal of Knot Theory and Its Ramifications 19, no. 07 (2010): 849–57. http://dx.doi.org/10.1142/s0218216510008194.

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For an oriented knot diagram D, the warping degree d(D) is the smallest number of crossing changes which are needed to obtain the monotone diagram from D in the usual way. We show that d(D) + d(-D) + 1 is less than or equal to the crossing number of D. Moreover, the equality holds if and only if D is an alternating diagram. For a knot K, we also estimate the minimum of d(D) + d(-D) for all diagrams D of K with c(D) = c(K).

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19

CVETKOVIĆ, DRAGOŠ, and TATJANA DAVIDOVIĆ. "MULTIPROCESSOR INTERCONNECTION NETWORKS WITH SMALL TIGHTNESS." International Journal of Foundations of Computer Science 20, no. 05 (2009): 941–63. http://dx.doi.org/10.1142/s0129054109006978.

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Homogeneous multiprocessor systems are usually modelled by undirected graphs. Vertices of these graphs represent the processors, while edges denote the connection links between adjacent processors. Let G be a graph with diameter D, maximum vertex degree Δ, the largest eigenvalue λ1 and m distinct eigenvalues. The products mΔ and (D+1)λ1 are called the tightness of G of the first and second type, respectively. In recent literature it was suggested that graphs with a small tightness of the first type are good models for the multiprocessor interconnection networks. In a previous paper we studied

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KOSELEFF, P. V., and D. PECKER. "CHEBYSHEV KNOTS." Journal of Knot Theory and Its Ramifications 20, no. 04 (2011): 575–93. http://dx.doi.org/10.1142/s0218216511009364.

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A Chebyshev knot is a knot which admits a parametrization of the form x(t) = Ta(t); y(t) = Tb(t); z(t) = Tc(t + ϕ), where a, b, c integers, Tn(t) is the Chebyshev polynomial of degree n, and φ ∈ R. Chebyshev knots are non-compact analogues of the classical Lissajous knots. We show that there are infinitely many Chebyshev knots with φ = 0. We also show that every knot is a Chebyshev knot.

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21

Miller, Edward S. "A note on bounds of cardinal functions in the closed preimage." Bulletin of the Australian Mathematical Society 48, no. 1 (1993): 69–74. http://dx.doi.org/10.1017/s0004972700015471.

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Let X and Y be T1 spaces and f: X → Y be a closed and onto mapping. If a fiber of the mapping f is defined to be the inverse image of a singleton in the range, then a bound for the tightness of the domain is the product of the tightness of the range and the supremum of the tightness of the fibers of f. Similar bounds can also be shown for the Lindelöf degree and the extent of X. Examples are provided to demonstrate that such results are not possible for open maps. Cellularity and spread are discussed briefly.

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22

DOBROWOLSKA, EWA, ZBIGNIEW KARWAT, and DANIEL KUPIEC. "Testing the tightness of a square joint between oak wood elements." Annals of WULS, Forestry and Wood Technology 107 (September 30, 2019): 139–48. http://dx.doi.org/10.5604/01.3001.0013.7640.

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Testing the tightness of a square joint between oak wood elements. The study was carried out to determine the tightness of square joints between elements made of oak wood. To determine the degree of tightness of these joints, a device measuring the swelling pressure of oak wood under the influence of water humidification was designed. Checking the tightness of joints was carried out for surfaces obtained by machining through: grinding, milling, machine planing and manual planing. Contact angles at the phase boundary wood-water and their roughness achieved as a result of machining were also det

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23

Malhotra, K., O. Chan, S. Cullen, et al. "Prevalence of isolated gastrocnemius tightness in patients with foot and ankle pathology." Bone & Joint Journal 100-B, no. 7 (2018): 945–52. http://dx.doi.org/10.1302/0301-620x.100b7.bjj-2017-1465.r1.

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Aims Gastrocnemius tightness predisposes to musculoskeletal pathology and may require surgical treatment. However, it is not clear what proportion of patients with foot and ankle pathology have clinically significant gastrocnemius tightness. The aim of this study was to compare the prevalence and degree of gastrocnemius tightness in a control group of patients with a group of patients with foot and ankle pathology. Patients and Methods This prospective, case-matched, observational study compared gastrocnemius tightness, as assessed by the lunge test, in a control group and a group with foot an

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Stoimenow, A. "On Cabled Knots and Vassiliev Invariants (Not) Contained in Knot Polynomials." Canadian Journal of Mathematics 59, no. 2 (2007): 418–48. http://dx.doi.org/10.4153/cjm-2007-018-0.

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AbstractIt is known that the Brandt–Lickorish–Millett–Ho polynomial Q contains Casson's knot invariant. Whether there are (essentially) other Vassiliev knot invariants obtainable from Q is an open problem. We show that this is not so up to degree 9. We also give the (apparently) first examples of knots not distinguished by 2-cable HOMFLY polynomials which are not mutants. Our calculations provide evidence of a negative answer to the question whether Vassiliev knot invariants of degree d ≤ 10 are determined by the HOMFLY and Kauffman polynomials and their 2-cables, and for the existence of alge

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Brugallé, Erwan, Pierre-Vincent Koseleff, and Daniel Pecker. "On the lexicographic degree of two-bridge knots." Journal of Knot Theory and Its Ramifications 25, no. 07 (2016): 1650044. http://dx.doi.org/10.1142/s0218216516500449.

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We study the degree of polynomial representations of knots. We obtain the lexicographic degree for two-bridge torus knots and generalized twist knots. The proof uses the braid theoretical method developed by Orevkov to study real plane curves, combined with previous results from [Chebyshev diagrams for two-bridge knots, Geom. Dedicata 150 (2010) 405–425; E. Brugallé, P.-V. Koseleff, D. Pecker, Untangling trigonal diagrams, to appear in J. Knot Theory and its Ramifications]. We also give a sharp lower bound for the lexicographic degree of any knot, using real polynomial curves properties.

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KANENOBU, TAIZO. "RECURSIVE CALCULATION FOR AN INVARIANT OF A RIBBON KNOT." Journal of Knot Theory and Its Ramifications 07, no. 08 (1998): 1093–105. http://dx.doi.org/10.1142/s0218216598000607.

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We give an algorithm for calculating the second degree coefficient of the Conway polynomial of a ribbon 1-knot. This naturally yields a recursive calculation for the second derivative at t = 1, Δ′′(1), of the normalized Alexander polynomial of a ribbon 2-knot in R4, which is the first nontrivial finite type invariant of a ribbon 2-knot defined by Habiro, Kanenobu, and Shima.

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Bae, Yeolhui, Yugyeom Yi, Jeongmoo Lee, and Sungmo Kang. "Research on Definition of BLL Graphs of Knot Diagrams and its Applications." Korean Science Education Society for the Gifted 14, no. 3 (2022): 229–36. http://dx.doi.org/10.29306/jseg.2022.14.3.229.

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This paper is the research on the Knot theory in Topology. A knot is a simple closed curve in ℝ and its projection onto a plane in ℝ is called a knot projection. As the results of this paper we define a BLL(Bidirectional Linear Link) graph for a knot projection which is a bidirectional linear link representing the relations between arcs of a knot projection and obtain some properties of the BLL graphs. We also define an Eulerian cycle of the BLL graph and an Eulerian cycle of a knot projection. As the main results of this paper, we obtain the equivalent conditions of being an alternation knot

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Webber, Douglas A., Isabella Agnes, Jessica Liu, and Erin Troland. "Place-Based Labor Market Inequality." Finance and Economics Discussion Series, no. 2025-040 (June 2025): 1. https://doi.org/10.17016/feds.2025.040.

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This paper presents an overview of how various labor market indicators differ across geography. While many indicators are often discussed in terms of national aggregates, such discussions obscure the large degree of variation that exists across localities. We primarily use counties as a geographic unit, and document both structural differences that persist over time as well as differences in the past two business cycles. The racial composition of communities plays a large role in explaining geographic differences in labor market indicators, in some cases even more so than income. We specifical

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van der Veen, R. "A slope conjecture for links." Journal of Knot Theory and Its Ramifications 24, no. 14 (2015): 1550077. http://dx.doi.org/10.1142/s0218216515500777.

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The slope conjecture [S. Garoufalidis, The degree of a q-holonomic sequence is a quadratic quasi-polynomial, Electron. J. Combin. 18 (2011) 4–27] gives a precise relation between the degree of the colored Jones polynomial of a knot and the boundary slopes of essential surfaces in the knot complement. In this paper, we propose a generalization of the slope conjecture to links. We prove the conjecture for all alternating or more generally adequate links. We also verify the conjecture for torus links.

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Leng, Xudong, Zhiqing Yang, and Ximin Liu. "A result on the Slope conjectures for 3-string Montesinos knots." Journal of Knot Theory and Its Ramifications 27, no. 13 (2018): 1842008. http://dx.doi.org/10.1142/s0218216518420087.

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The Slope Conjecture and the Strong Slope Conjecture predict that the degree of the colored Jones polynomial of a knot is matched by the boundary slope and the Euler characteristic of some essential surfaces in the knot complement. By solving a problem of quadratic integer programming to find the maximal degree and using the Hatcher–Oertel edgepath system to find the corresponding essential surface, we verify the Slope Conjectures for a family of 3-string Montesinos knots satisfying certain conditions.

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Drabble, Eric, Sofia Spanopoulou, Eleni Sioka, et al. "How to tie dangerous surgical knots: easily. Can we avoid this?" BMJ Surgery, Interventions, & Health Technologies 3, no. 1 (2021): e000091. http://dx.doi.org/10.1136/bmjsit-2021-000091.

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ObjectiveSecure knots are essential in all areas of surgical, medical and veterinary practice. Our hypothesis was that technique of formation of each layer of a surgical knot was important to its security.DesignEqual numbers of knots were tied, by each of three groups, using three techniques, for each of four suture materials; a standard flat reef knot (FRK), knots tied under tension (TK) and knots laid without appropriate hand crossing (NHCK). Each knot technique was performed reproducibly, and tested by distraction with increasing force, till each material broke or the knot separated complet

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Tyrsin, A. N. "Scalar measure of the interdependence between random vectors." Industrial laboratory. Diagnostics of materials 84, no. 7 (2018): 76–82. http://dx.doi.org/10.26896/1028-6861-2018-84-7-76-82.

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The problem of assessing tightness of the interdependence between random vectors of different dimensionality is considered. These random vectors can obey arbitrary multidimensional continuous distribution laws. An analytical expression is derived for the coefficient of tightness of the interdependence between random vectors. It is expressed in terms of the coefficients of determination of conditional regressions between the components of random vectors. For the case of Gaussian random vectors, a simpler formula is obtained, expressed through the determinants of each of the random vectors and d

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Tamer, Seval, Yavuz Yakut, Filiz Can, and Özlem Ülger. "The Effect of Hamstring Muscle Tightness on Knee Joint Proprioceptive Sense." Orthopaedic Journal of Sports Medicine 2, no. 11_suppl3 (2014): 2325967114S0017. http://dx.doi.org/10.1177/2325967114s00176.

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Objectives: Hamstring muscle tightness is a major musculoskeletal problem that predisposes the knee to injury . Proprioception sense is an important factor for injuries and we have not found any studies on the effect of hamstring muscle tightness on knee joint proprioceptive . Therefore, the aim of this study was to determine the effect of hamstring muscle tightness on knee joint proprioceptive sense. Methods: 61 healthy individuals, without any orthopedic or neurological symptoms that affect the knee joint proprioception sense, were included in this study. Individuals' socio-demographic data

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Kristiani, Taurisia, Damayanti Tinduh, I. Putu Alit Pawana, and Soenarnatalina Melaniani. "Effect of uphill treadmill exercise on standard therapy to hamstrings tightness in patients with knee osteoarthritis at Dr. Soetomo General Hospital Surabaya." Retos 68 (June 22, 2025): 1464–76. https://doi.org/10.47197/retos.v68.115899.

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Introduction: Knee osteoarthritis causes excessive muscle contraction during walking, increased muscle tension in patients accompanied by changes in muscle stiffness related to hamstring tightness. Straight Leg Raise (SLR) is a measurement used to assess hamstring tightness using a gravity inclinometer. Objective: To evaluate the effect of uphill treadmill exercise as an addition to standard therapy on hamstrings tightness in patients with grade II-III knee osteoarthritis at Dr. Soetomo General Hospital Surabaya. Methodology: The control group received standard therapy (TENS and Q-bench) while

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KIM, TAEHEE, and TAKAYUKI MORIFUJI. "TWISTED ALEXANDER POLYNOMIALS AND CHARACTER VARIETIES OF 2-BRIDGE KNOT GROUPS." International Journal of Mathematics 23, no. 06 (2012): 1250022. http://dx.doi.org/10.1142/s0129167x11007653.

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We study the twisted Alexander polynomial from the viewpoint of the SL (2, ℂ)-character variety of nonabelian representations of a knot group. It is known that if a knot is fibered, then the twisted Alexander polynomials associated with nonabelian SL (2, ℂ)-representations are all monic. In this paper, we show that for a 2-bridge knot there exists a curve component in the SL (2, ℂ)-character variety such that if the knot is not fibered then there are only finitely many characters in the component for which the associated twisted Alexander polynomials are monic. We also show that for a 2-bridge

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Boavida de Brito, Pedro, and Geoffroy Horel. "Galois symmetries of knot spaces." Compositio Mathematica 157, no. 5 (2021): 997–1021. http://dx.doi.org/10.1112/s0010437x21007041.

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We exploit the Galois symmetries of the little disks operads to show that many differentials in the Goodwillie–Weiss spectral sequences approximating the homology and homotopy of knot spaces vanish at a prime $p$. Combined with recent results on the relationship between embedding calculus and finite-type theory, we deduce that the $(n+1)$th Goodwillie–Weiss approximation is a $p$-local universal Vassiliev invariant of degree $\leq n$ for every $n \leq p + 1$.

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Lee, Kyeonghui, Young Ho Im, and Sunho Lee. "An index definition of parity mappings of a virtual link diagram and Vassiliev invariants of degree one." Journal of Knot Theory and Its Ramifications 23, no. 07 (2014): 1460010. http://dx.doi.org/10.1142/s0218216514600104.

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H. Dye defined the parity mapping for a virtual knot diagram, which is a map from the set of real crossings of the diagram to ℤ. The notion generalizes the parity which is studied extensively by V. Manturov. The mapping induces the ith writhe (i ∈ ℤ\{0}) which is an invariant of the representing virtual knot. She applied the parity mapping to introduce a grade to the Henrich S-invariant for a virtual knot, and showed that the invariants are Vassiliev invariants of degree one. Following it, we define the parity mappings for a virtual link diagram, and define the similar invariants as above for

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Tchernov, Vladimir. "THE MOST REFINED VASSILIEV INVARIANT OF DEGREE ONE OF KNOTS AND LINKS IN ℝ1-FIBRATIONS OVER A SURFACE". Journal of Knot Theory and Its Ramifications 07, № 02 (1998): 257–66. http://dx.doi.org/10.1142/s0218216598000164.

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As it is well-known, all Vassiliev invariants of degree one of a knot K ⊂ ℝ3 are trivial. There are nontrivial Vassiliev invariants of degree one, when the ambient space is not ℝ3. Recently, T. Fiedler introduced such invariants of a knot in an ℝ1-fibration over a surface F. They take values in the free ℤ-module generated by all the free homotopy classes of loops in F. Here, we generalize them to the most refined Vassiliev invariant of degree one. The ranges of values of all these invariants are explicitly described. We also construct a similar invariant of a two-component link in an ℝ1-fibrat

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Weng, Yi, Li Jun Li, and Feng Fang Li. "Analyzing on Geometry Design and Tightness of Ramie Fabric." Advanced Materials Research 175-176 (January 2011): 534–38. http://dx.doi.org/10.4028/www.scientific.net/amr.175-176.534.

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The scratchiness of ramie fabric, to some extent, restricts the development of ramie products, although it has been improved of the underwear ramie fabric to a certain degree, however, it is at the cost of sacrificing the unique style of ramie fabric. How to keep the special style of ramie fabric and eliminate scratchiness in the meantime is yet to be solved. This study analyzed the causes for scratchiness, discussed how to choose the fabric’s geometry, density and tightness, and established a theoretical formula for the geometric structure of non-tight structure ramie fabric, as well as warp

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Muhammad Rajab Sa'bana, Wahyu Tri Sudaryanto, and Ririt Eka Lestari. "Manajemen Fisioterapi dengan Kombinasi Breathing Exercise pada Pasien dengan Cor Pulmonale Chronic Decompensata (CPCD)." DIAGNOSA: Jurnal Ilmu Kesehatan dan Keperawatan 3, no. 3 (2025): 01–10. https://doi.org/10.59581/diagnosa-widyakarya.v3i3.5037.

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Cor Pulmonale Chronic Decompensata (CPCD) is a chronic pulmonary complication characterized by hypertrophy and/or dilatation of the right ventricle due to increased pulmonary artery pressure (pulmonary hypertension). due to increased pulmonary artery pressure (pulmonary hypertension). Symptoms include severe dyspnea, leg edema, hepatomegaly, and activity intolerance, which significantly reduce quality of life. Using the report method case study that assesses the effectiveness of a combination breathing exercise intervention using Diaphragm Breathing, Pursed Lip Breathing, thoracic expansion ex

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He, Rachael, Austin Ho, Dorian Kalir, Jacob Miller, and Matthew Zevenbergen. "Polynomial Generalizations of Knot Colorings." PUMP Journal of Undergraduate Research 5 (January 1, 2022): 1–23. http://dx.doi.org/10.46787/pump.v5i0.2616.

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In the field of knot theory, knot invariants are properties preserved across all embeddings and projections of the same knot. Fox n-coloring is a classical knot invariant which associates to each knot projection a system of linear equations. We generalize Fox’s n-coloring by using two, not necessarily distinct, polynomials over a field F, which we say form a (g,f)F coloring. We introduce a sufficient condition, called strong, for a pair of polynomials to form a (g,f)F coloring. We confirm a family of pairs of linear polynomials each of which form a (g,f)F coloring. We prove that there are no s

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Hong, Young-Ho, Seung-Kook Kim, Dong-Won Suh, and Su-Chan Lee. "Novel Instruments for Percutaneous Biportal Endoscopic Spine Surgery for Full Decompression and Dural Management: A Comparative Analysis." Brain Sciences 10, no. 8 (2020): 516. http://dx.doi.org/10.3390/brainsci10080516.

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Background: Post-laminectomy syndrome is a common cause of dissatisfaction after endoscopic interlaminar approach. Our aim was to evaluate the efficacy and safety of our two newly designed instruments for laminotomy, a dural protector attached to the scope and a knot pusher for water-tight suturing of the incidental dural tears. Material and Methods: This was a multicenter evaluation. Efficacy was quantified as the pre-to-postoperative improvement in pain (visual analog scale), disability (Oswestry Disability Index), patient satisfaction (modified MacNab score), and length of hospital stay. Sa

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McROBIE, F. A., and J. M. T. THOMPSON. "BRAIDS AND KNOTS IN DRIVEN OSCILLATORS." International Journal of Bifurcation and Chaos 03, no. 06 (1993): 1343–61. http://dx.doi.org/10.1142/s0218127493001100.

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We consider the application of braid and knot theory to single-degree-of-freedom driven oscillators, giving emphasis to the braids of periodic orbits contained in horseshoes. Using such concepts as braid type, relative rotations, Nielsen equivalence, knot polynomials, the reduced Burau representation and positive, regular and ambient isotopy, we illustrate how these can be put together to gain some understanding of bifurcation structure.

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Williams, Dr Brogan. "The Measured Effects of Isometric Loading in a Flexed vs Neutral Lumbar Spinal Position: A Case Report." International Journal for Research in Applied Science and Engineering Technology 10, no. 7 (2022): 4084–87. http://dx.doi.org/10.22214/ijraset.2022.45841.

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Abstract: The common understanding that loaded lumbar flexion is a positional hazard and a possible cause for injury has recently been disputed by certain fractions of the manual medicine and exercise science community [1]. Although a polarizing subject, this case study set out to investigate the first hand subjective experience of loaded lumbar flexion on an actual experienced world champion strength athlete. The research question driving this case report was “Does an isometric load applied to a flexed lower back cause more tightness, general discomfort OR pain than that same load applied to

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Baker, Elizabeth, and Bram Petri. "Statistics of finite degree covers of torus knot complements." Annales Henri Lebesgue 6 (December 12, 2023): 1213–57. http://dx.doi.org/10.5802/ahl.187.

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Kolotilin, D. V., A. V. Dedov, and R. I. Kunnap. "Procedure for evaluation of tightness of polymer tanks for transportation of fuel by air." Plasticheskie massy, no. 1-2 (March 19, 2021): 46–48. http://dx.doi.org/10.35164/0554-2901-2021-1-2-46-48.

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The analysis of methods for assessing the diffusion permeability of polymer materials is carried out. The limitations of the methods for determining the tightness time and the rate of fuel bleeding from elastic tanks based on thermoplastic polyurethanes are shown. To solve the set tasks, an approach is proposed related to establishing dependencies of the kinetics of diesel fuel bleeding in the coordinate system of the conditional time, which was calculated as the square root of the process time. The tightness time and rate of fuel bleeding depends on the degree of filling of the tank during te

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Detcherry, Renaud, and Stavros Garoufalidis. "A diagrammatic approach to the AJ Conjecture." Mathematische Annalen 378, no. 1-2 (2020): 447–84. http://dx.doi.org/10.1007/s00208-020-02028-y.

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Abstract The AJ Conjecture relates a quantum invariant, a minimal order recursion for the colored Jones polynomial of a knot (known as the $$\hat{A}$$ A ^ polynomial), with a classical invariant, namely the defining polynomial A of the $${\mathrm {PSL}_2(\mathbb {C})}$$ PSL 2 ( C ) character variety of a knot. More precisely, the AJ Conjecture asserts that the set of irreducible factors of the $$\hat{A}$$ A ^ -polynomial (after we set $$q=1$$ q = 1 , and excluding those of L-degree zero) coincides with those of the A-polynomial. In this paper, we introduce a version of the $$\hat{A}$$ A ^ -pol

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Li, Shifeng, Jianqiang Zhang, and Suling Chen. "Influence of Characteristic Parameter on Extrusion Stress with Working Surface of the Zigzag-shroud Blade." Journal of Physics: Conference Series 2457, no. 1 (2023): 012032. http://dx.doi.org/10.1088/1742-6596/2457/1/012032.

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Abstract Taking a high aspect ratio and low-pressure turbine blade as an example, the research on the influence of zigzag-shroud characteristic parameters on the circumferential tightness and extrusion stress of the working surface, the comprehensive influence law of the zigzag-shroud key parameters on blades strength can be obtained to reduce the zigzag-shroud stress level to the allowable range. It is found that the engagement angle (β) and pre-torsion angle (△β) are the two key parameters to determine the tightness of the contact surface. When the engagement angle is 40.9°, the extrusion st

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Hughes, Mark C. "A neural network approach to predicting and computing knot invariants." Journal of Knot Theory and Its Ramifications 29, no. 03 (2020): 2050005. http://dx.doi.org/10.1142/s0218216520500054.

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In this paper, we use artificial neural networks to predict and help compute the values of certain knot invariants. In particular, we show that neural networks are able to predict when a knot is quasipositive with a high degree of accuracy. Given a knot with unknown quasipositivity, we use these predictions to identify braid representatives that are likely to be quasipositive, which we then subject to further testing to verify. Using these techniques, we identify 84 new quasipositive 11 and 12-crossing knots. Furthermore, we show that neural networks are also able to predict and help compute t

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Boden, Hans U., and Cynthia L. Curtis. "The SL(2, C) Casson Invariant for Knots and the Â-polynomial." Canadian Journal of Mathematics 68, no. 1 (2016): 3–23. http://dx.doi.org/10.4153/cjm-2015-025-5.

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AbstractIn this paper, we extend the definition of the SL(2,ℂ) Casson invariant to arbitrary knots K in integral homology 3-spheres and relate it to the m-degree of the Â-polynomial of K. We prove a product formula for the Â-polynomial of the connected sum K1#K2 of two knots in S3 and deduce additivity of the SL(2,ℂ) Casson knot invariant under connected sums for a large class of knots in S3. We also present an example of a nontrivial knot K in S3 with trivial Â-polynomial and trivial SL(2,ℂ) Casson knot invariant, showing that neither of these invariants detect the unknot.

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