• Title/Summary/Keyword: knot group

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AN INJECTIVITY THEOREM FOR CASSON-GORDON TYPE REPRESENTATIONS RELATING TO THE CONCORDANCE OF KNOTS AND LINKS

  • Friedl, Stefan;Powell, Mark
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.2
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    • pp.395-409
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    • 2012
  • In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let ${\pi}$ be a group and let M ${\rightarrow}$ N be a homomorphism between projective $\mathbb{Z}[{\pi}]$-modules such that $\mathbb{Z}_p\;{\otimes}_{\mathbb{Z}[{\pi}]}M{\rightarrow}\mathbb{Z}_p{\otimes}_{\mathbb{Z}[{\pi}]}\;N$ is injective; for which other right $\mathbb{Z}[{\pi}]$-modules V is the induced map $V{\otimes}_{\mathbb{Z}[{\pi}]}\;M{\rightarrow}\;V{\otimes}_{\mathbb{Z}[{\pi}]}\;N$ also injective? Our main theorem gives a new criterion which combines and generalizes many previous results.

A Study and Investigation on the Influence of Static and Dynamic Loading on the Properties of Handmade Persian Carpet (I) - The Effect of Static Loading -

  • Mirjalili S. A.;Sharzehee M.
    • Fibers and Polymers
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    • v.6 no.2
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    • pp.139-145
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    • 2005
  • The paper reports the physical and mechanical properties of hand-woven carpets, which have been put under static force. Two groups of wool fibres, from two parts of Iran, were prepared to spin pile yams for the carpets. Each group of the fibres included both conventional and tanned wool. Then two yam counts, $N_m$ = 4/2 and 6/2, were spun for two different knot densities. After weaving the carpets, they were put under static force and their thickness variations were measured and plotted against time, in logarithm scale. The resiliency of the carpets piles after eliminating the static force, were measured and plotted against time, in logarithm scale, too. The results were compared to each other and analysed with respect to parameters such as the type and quality of the wool fibres as well as knot density of the carpets.

Incidence of the Rice Root-Knot Nematode, Meloidogyne graminicola, in Guangxi, China

  • Luo, Man;Li, Bing Xue;Wu, Han Yan
    • The Plant Pathology Journal
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    • v.36 no.3
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    • pp.297-302
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    • 2020
  • Root-knot nematodes (Meloidogyne spp.) are the most destructive group of plant-parasitic nematodes. Plants infected by Meloidogyne spp. develop above-ground symptoms, stunting, yellowing, nutrient deficiencies, and gall formations with typical hook-shaped root tips. Infected plants experience yield losses. During 2018-2019 survey, leaf chlorosis rice plants were found in 206 fields of 67 counties in Guangxi, China, around 30 days after transplanting. Galls and hooked tips on the roots and pear-shaped females were observed. About 32.04% of fields were infested with the nematode. The nematodes were identified as Meloidogyne graminicola base on morphological and molecular analysis. To the best of our knowledge, this is the first report of M. graminicola on rice plants in Guangxi, China. The results of this study urge the discovery of resistant cultivars and the development of management strategies.

CYCLIC PRESENTATIONS OF GROUPS AND CYCLIC BRANCHED COVERINGS OF (1, 1)-KNOTS

  • Mulazzani, Michele
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.1
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    • pp.101-108
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    • 2003
  • In this paper we study the connections between cyclic presentations of groups and cyclic branched coverings of (1, 1)- knots. In particular, we prove that every π-fold strongly-cyclic branched covering of a (1, 1)-knot admits a cyclic presentation for the fundamental group encoded by a Heegaard diagram of genus π.

Clinical Results of Arthroscopic Bankart Repair with Absorbable Knot-tying and Absorbable Knotless Suture Anchors (견관절 전방 불안정증에서 관절경적 방카트르 봉합술 시 흡수성 매듭 봉합 나사못과 흡수성 비 매듭 봉합 나사못을 이용한 임상적 치료결과 비교)

  • Kim, Seong-Jun;Lu, Yao-Jia;Oh, Kyung-Soo;Bahng, Seung-Chul;Park, Jin-Young
    • Journal of the Korean Arthroscopy Society
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    • v.17 no.1
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    • pp.50-55
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    • 2013
  • Purpose: The purpose of this study was to compare the clinical results of absorbable knot-tying and absorbable knotless suture anchors in arthroscopic Bankart repair. Materials and Methods: This study compared the patients who underwent arthroscopic Bankart repairs using absorbable knottying suture anchors (59 patients: KT Group), and absorbable knotless suture anchors (52 patients: KL Group). Preoperative and postoperative evaluations were performed by Rowe scores, patient satisfaction score, visual analogue scale (VAS), American shoulder and elbow surgeons (ASES) score, range of motion (ROM), and re-dislocation rate. Results: Postoperative VAS, Rowe scores, ASES score were significantly not different between the 2 groups (VAS: p=0.250, Rowe score: p=0.412, ASES: p=0.052). Mean postoperative VAS was 0.5 in KT Group and 0.8 in KL Group (p=0.250), and limited ROM was noted only in one patient in KL Group. Mean Rowe score was 94.3 in KT Group and 96.3 in KL Group (p=0.412), and mean ASES score was 97.3 in KT Group and 94.0 in KL Group (p=0.052). Re-dislocation rate were no different between the 2 groups. Conclusion: There were no differences in clinical outcomes and re-dislocation rate between Knot-Tying and Knotless repairs.

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Toxicity Assessment of Photorhabdus temperata Isolated from Heterorhabditis megidis Gwangju Strain (Nematoda: Heterorhabditidae) in Fish and Rat (Heterorhabditis megidis Gwangju Strain (Nematoda: Heterorhabditidae)으로부터 분리한 Photorhabdus temperata의 어류 및 쥐 독성평가)

  • Park, Sun-Han;Chung, Nam-Jun;Choo, Young-Moo;Kim, Young-Joon;Kim, Jin-Ho
    • Korean Journal of Organic Agriculture
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    • v.30 no.1
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    • pp.103-118
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    • 2022
  • Photorhabdus is a bacterial symbiont of entomopathogenic nematodes of the genus Heterorhabditis in the family Heterorhabditidae. Photorhabdus is known to have nematicidal activity in addition to insecticidal activity. P. temperata isolated from Korean indigenous H. megidis Gwangju strain also produced high control efficacy against root-knot nematode Meloidogyne incognita and root-lesion nematode Pratylenchus penetrans. P. temperata has drawn interest as a potential bionematicide for the control of root-knot nematodes thereby. For the registration as an organic agricultural material, the toxicity of P. temperata was assessed by the acute toxicity test in carp (Cyprinus carpio) and acute oral and dermal toxicity tests in Sprague-Dawley rat (Rattus norvegicus) in compliance with the guidelines of the Rural Development Administration (RDA). In the acute toxicity test in fish, neither lethality nor abnormal responses of carp were observed. Body length and weight of carp and changes in DO concentrations and pH values were not significantly different between the treated group and the untreated control. In the acute oral and dermal toxicity tests, clinical signs, abnormal behavior, mortality, and pathological findings were not observed in all the experimental rats. The weight increment of all rats was normal. Acute toxicity results of P. temperata in fish and rats belonged to categories III, IV, and IV of RDA, respectively. Toxicity results of the present study indicated that P. temperata could be a safe and promising bionematicide against root-knot nematodes and root lesion nematode.

ON THE CHARACTER RINGS OF TWIST KNOTS

  • Nagasato, Fumikazu
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.3
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    • pp.469-474
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    • 2011
  • The Kauffman bracket skein module $K_t$(M) of a 3-manifold M becomes an algebra for t = -1. We prove that this algebra has no non-trivial nilpotent elements for M being the exterior of the twist knot in 3-sphere and, therefore, it is isomorphic to the $SL_2(\mathbb{C})$-character ring of the fundamental group of M. Our proof is based on some properties of Chebyshev polynomials.

Solution of Poisson Equation using Isogeometric Formulation

  • Lee, Sang-Jin
    • Architectural research
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    • v.13 no.1
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    • pp.17-24
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    • 2011
  • Isogeometric solution of Poisson equation is provided. NURBS (NonUniform B-spline Surface) is introduced to express both geometry of structure and unknown field of governing equation. The terms of stiffness matrix and load vector are consistently derived with very accurate geometric definition. The validity of the isogeometric formulation is demonstrated by using two numerical examples such as square plate and L-shape plate. From numerical results, the present solutions have a good agreement with analytical and finite element (FE) solutions with the use of a few cells in isogeometric analysis.