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Готові списки джерел за темами / Knot volume

Добірка наукової літератури з теми "Knot volume"

Автор: Grafiati

Опубліковано: 8 червня 2024

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Статті в журналах з теми "Knot volume":

1

Jiang, Jackson, Ita Suzana Mat Jais, Andrew Kean Tuck Yam, Duncan Angus McGrouther, and Shian Chao Tay. "A Biomechanical Comparison of Different Knots Tied on Fibrewire Suture." Journal of Hand Surgery (Asian-Pacific Volume) 22, no. 01 (February 16, 2017): 65–69. http://dx.doi.org/10.1142/s0218810417500113.

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Background: Synthetic sutures such as Fiberwire used in flexor tendon repairs have high tensile strength. Proper application allows early mobilisation, decreasing morbidity from repair rupture and adhesions while preserving range of motion. Suture stiffness can cause poorer knot holding, contributing to gapping, peritendinous adhesions or rupture. Previous studies recommended more throws in knots tied on Fiberwire to prevent knot slippage. These larger knots are voluminous and prominent. In tendon repairs they can cause “catching”, increase friction and work of flexion. Other studies advocated certain complicated knots as being more secure. We evaluated several knots and their biomechanical properties with the aim of finding a compact knot with less potential for slippage to maximise strength potential of flexor tendon repairs using Fiberwire. Methods: A series of different knots tied on Fiberwire 4-0 sutures were pulled to failure on a mechanical tester. Mean tensile strengths, knot volumes and tensile strength to knot volume ratios were compared. Results: Tensile strengths and knot volume increased with more throws and loops. Four variations of the square knot (the 4=4=1, 2=2=2=2, 1=1=1=1=1, 2=1=1=1=1 knots) had tensile strengths greater than 35N. The specialised anti-slip knot had highest tensile strength and suture volume but lower strength-to-volume ratio. Conclusions: The anti-slip knot had highest tensile strength but it also had the highest volume. The greater strength of repair may not translate into improved clinical outcome. The 1=1=1=1=1 knot has superior knot strength-to-volume ratio with good knot strength adequate for early active mobilisation in flexor tendon repairs.

2

Manso, Rubén, J. Paul McLean, Adam Ash, and Alexis Achim. "Estimation of individual knot volumes by mixed-effects modelling." Canadian Journal of Forest Research 50, no. 2 (February 2020): 81–88. http://dx.doi.org/10.1139/cjfr-2019-0038.

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We present a new method to estimate individual knot volumes based on a knot geometry model coupled with observations on branch characteristics. X-ray computer tomography and image analysis were used to measure the volume and geometry of 424 knots of Sitka spruce (Picea sitchensis (Bong.) Carrière). Knot geometry can be described mathematically by deriving functions for relative vertical position, diameter, and slope dependent on radial position in the stem. These functions were parameterized using “seemingly unrelated regression” and mixed-modelling techniques. This provided a base model for typical knots. To estimate individual knot volume, we used available data for branch diameter and insertion angle to obtain conditional predictions. We imputed the most likely knot trajectory, as relative vertical position cannot be measured on branches. The model explained up to 96% of the variability in knot volume by incorporating the branch measurements, in contrast to the 43% explained using the typical knot model. Knot volume assessment based only on conditional predictions of diameter and marginal predictions of vertical position also accounted for 96% of the variability. Therefore, measurements of branch diameter alone would be enough to obtain highly precise predictions of individual knot volume. This estimator is a first step towards a knot model to be used for the management of Sitka spruce in Great Britain.

3

CHO, JINSEOK, and JUN MURAKAMI. "THE COMPLEX VOLUMES OF TWIST KNOTS VIA COLORED JONES POLYNOMIALS." Journal of Knot Theory and Its Ramifications 19, no. 11 (November 2010): 1401–21. http://dx.doi.org/10.1142/s0218216510008443.

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For a hyperbolic knot, an ideal triangulation of the knot complement corresponding to the colored Jones polynomial was introduced by Thurston. Considering this triangulation of a twist knot, we find a function which gives the hyperbolicity equations and the complex volume of the knot complement, using Zickert's theory of the extended Bloch group and the complex volume. We also consider a formal approximation of the colored Jones polynomial. Following Ohnuki's theory of 2-bridge knots, we define another function which comes from the approximation. We show that this function is essentially the same as the previous function, and therefore it also gives the same hyperbolicity equations and the complex volume. Finally we compare this result with our previous one which dealt with Yokota theory, and, as an application to Yokota theory, present a refined formula of the complex volumes for any twist knots.

4

YOKOTA, YOSHIYUKI. "ON THE COMPLEX VOLUME OF HYPERBOLIC KNOTS." Journal of Knot Theory and Its Ramifications 20, no. 07 (July 2011): 955–76. http://dx.doi.org/10.1142/s021821651100908x.

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5

BAKER, KENNETH L. "SURGERY DESCRIPTIONS AND VOLUMES OF BERGE KNOTS I: LARGE VOLUME BERGE KNOTS." Journal of Knot Theory and Its Ramifications 17, no. 09 (September 2008): 1077–97. http://dx.doi.org/10.1142/s0218216508006518.

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By obtaining surgery descriptions of knots which lie on the genus one fiber of the trefoil or figure eight knot, we show that these include hyperbolic knots with arbitrarily large volume. These knots admit lens space surgeries and form two families of Berge knots. By way of tangle descriptions we also obtain surgery descriptions for these knots on minimally twisted chain links.

6

Aptekarev, Alexander Ivanovich. "Hyperbolic volume of 3-d manifolds, A-polynomials, numerical hypothesis testing." Keldysh Institute Preprints, no. 52 (2023): 1–36. http://dx.doi.org/10.20948/prepr-2023-52.

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We continue our study of the connections between the hyperbolic volume of the complement of a knot in the three dimensional sphere with topological invariants of this knot. This time we pay attention to A(M,L) parametrization for the affine variety with casp, produced by a knot (so-called A-polynomials). Then, using the known expressions of A-polynomials for number of knots we present results of the numerical tests for the conjectures on asymptotics of solutions of q-difference equations connected with the hyperbolic volume of these knots.

7

Ito, Noboru, and Yusuke Takimura. "Crosscap number of knots and volume bounds." International Journal of Mathematics 31, no. 13 (November 28, 2020): 2050111. http://dx.doi.org/10.1142/s0129167x20501116.

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In this paper, we obtain the crosscap number of any alternating knots by using our recently-introduced diagrammatic knot invariant (Theorem 1). The proof is given by properties of chord diagrams (Kindred proved Theorem 1 independently via other techniques). For non-alternating knots, we give Theorem 2 that generalizes Theorem 1. We also improve known formulas to obtain upper bounds of the crosscap number of knots (alternating or non-alternating) (Theorem 3). As a corollary, this paper connects crosscap numbers and our invariant with other knot invariants such as the Jones polynomial, twist number, crossing number, and hyperbolic volume (Corollaries 1–7). In Appendix A, using Theorem 1, we complete giving the crosscap numbers of the alternating knots with up to 11 crossings including those of the previously unknown values for [Formula: see text] knots (Tables A.1).

8

Ben Aribi, Fathi. "The L2-Alexander invariant is stronger than the genus and the simplicial volume." Journal of Knot Theory and Its Ramifications 28, no. 05 (April 2019): 1950030. http://dx.doi.org/10.1142/s0218216519500305.

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We study how the genus, the simplicial volume and the [Formula: see text]-Alexander invariant of Li and Zhang can detect individual knots among all others. In particular, we use various techniques coming from hyperbolic geometry and topology to prove that the [Formula: see text]-Alexander invariant contains strictly more information than the pair (genus, simplicial volume). Along the way, we prove that the [Formula: see text]-Alexander invariant detects the figure-eight knot [Formula: see text], the twist knot [Formula: see text] and an infinite family of cables on the figure-eight knot.

9

Ji, Airu, Julie Cool, and Isabelle Duchesne. "Using X-ray CT Scanned Reconstructed Logs to Predict Knot Characteristics and Tree Value." Forests 12, no. 6 (June 1, 2021): 720. http://dx.doi.org/10.3390/f12060720.

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Research Highlights: Stand density was connected with wood quality and lumber production to develop a predictive model to better estimate tree value. Background and Objectives: The available standing wood volume in British Columbia (BC), Canada has consistently decreased since 1990. Better understanding the link between stand growth conditions, knot characteristics, the sawmilling process and product quality is essential in making informed forest management decisions and efficiently utilizing wood. The overall objective was to investigate and predict the impact of tree growth as affected by stand density on knot characteristics, lumber volume and value recoveries for two conifer species, two types of sawmills and three economic scenarios. Materials and Methods: Seventy-two amabilis fir and western hemlock trees were harvested from three stands located on Vancouver Island, BC. Sawlogs were scanned using an X-ray computed tomography (CT) scanner and images were processed to extract knot characteristics and reconstruct three-dimensional (3D) log models. The effects of three diameter at breast height (DBH) classes (30, 40 and 50 cm) and three stand densities on knot characteristics, including knot volume, number of knots, average knot area and knot/tree volume ratio, as well as the simulated lumber volume and value recoveries from two types of sawmills (i.e., Coastal and Interior) under three economic scenarios (i.e., baseline, optimistic, and pessimistic) were investigated. Results: As expected, the knot characteristics of both species increased with the DBH. The difference of knot distribution between amabilis fir and western hemlock suggests that the latter is more sensitive to growth site conditions. The sawmilling simulations revealed that the Coastal mill produced a lower lumber volume due to the type of products manufactured and the primary breakdown patterns being used. Conclusions: The developed linear mixed effects models based on the knot characteristics and tree features could predict the value of a standing tree and can be used for estimating preharvest stand value of similar Coastal Hem-Fir forests.

10

LE, THANG T. Q., and ANH T. TRAN. "ON THE VOLUME CONJECTURE FOR CABLES OF KNOTS." Journal of Knot Theory and Its Ramifications 19, no. 12 (December 2010): 1673–91. http://dx.doi.org/10.1142/s0218216510008534.

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We establish the volume conjecture for (m, 2)-cables of the figure 8 knot, when m is odd. For (m, 2)-cables of general knots where m is even, we show that the limit in the volume conjecture depends on the parity of the color (of the Kashaev invariant). There are many cases when the volume conjecture for cables of the figure 8 knot is false if one considers all the colors, but holds true if one restricts the colors to a subset of the set of positive integers.

Більше джерел

Дисертації з теми "Knot volume":

1

Larsson, Jennifer. "KNOTS : A work about exploring design possibilities in draping based on principles of a knot." Thesis, Högskolan i Borås, Akademin för textil, teknik och ekonomi, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:hb:diva-14008.

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This work is an exploration of design possibilities within draping based on a knot. This to show alternative possibilities and expressions through the knot in construction of clothing. The knot serves as a draping tool, has a function in each garment and is also decorative. The result is performed in 7 outfits based on experiments draped on a mannequin or my own body. The experiments are developed mainly through the branching strategy (Jones 1992)achieved with draping sessions in different materials, sizes and placements of the knot. Having the knot as starting point allows alternative expressions in construction of well known garments. It is also suggesting a method of closing a piece of clothing using the garment itself which could be developed further in 2D pattern construction.

2

Finlinson, Kathleen Arvella. "A Volume Bound for Montesinos Links." BYU ScholarsArchive, 2014. https://scholarsarchive.byu.edu/etd/5299.

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The hyperbolic volume of a knot complement is a topological knot invariant. Futer, Kalfagianni, and Purcell have estimated the volumes of Montesinos link complements for Montesinos links with at least three positive tangles. Here we extend their results to all hyperbolic Montesinos links.

3

Tran, Anh Tuan. "The volume conjecture, the aj conjectures and skein modules." Diss., Georgia Institute of Technology, 2012. http://hdl.handle.net/1853/44811.

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This dissertation studies quantum invariants of knots and links, particularly the colored Jones polynomials, and their relationships with classical invariants like the hyperbolic volume and the A-polynomial. We consider the volume conjecture that relates the Kashaev invariant, a specialization of the colored Jones polynomial at a specific root of unity, and the hyperbolic volume of a link; and the AJ conjecture that relates the colored Jones polynomial and the A-polynomial of a knot. We establish the AJ conjecture for some big classes of two-bridge knots and pretzel knots, and confirm the volume conjecture for some cables of knots.

4

Rodríguez, Migueles José Andrés. "Géodésiques sur les surfaces hyperboliques et extérieurs des noeuds." Thesis, Rennes 1, 2018. http://www.theses.fr/2018REN1S021.

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Grâce au théorème d'hyperbolisation, nous savons précisément quand une variété de dimension trois compacte admet une métrique hyperbolique. Par ailleurs, d'après le théorème de rigidité de Mostow, cette structure géométrique est unique. Cependant, trouver des liens pratiques entre la géométrie et la topologie est un problème difficile. La plupart des résultats décrits dans cette thèse visent à concrétiser ces liens. Toute géodésique fermée orientée dans une surface hyperbolique admet un relèvement canonique dans le fibré tangent unitaire de la surface, et on peut donc le voir comme un nœud dans une variété de dimension trois. Les extérieurs des nœuds ainsi construits admettent une structure hyperbolique. Cette thèse a pour objet d'estimer le volume des extérieurs des relèvements canoniques. Pour toute surface hyperbolique on construit une suite de géodésique sur la surface, tel que les extérieurs associées ne sont pas homéomorphes entre elles et dont la suite des volumes respectifs est bornée. Aussi on minore le volume de l'extérieur à l'aide d'un réel explicite qui décrit une relation entre la géodésique et une décomposition en pantalons de la surface. Ceci donne une méthode pour construire une suite de géodésiques dont les volumes des extérieurs associées sont minorées en termes de la longueur de la géodésique correspondant. Dans le cas particulier de la surface modulaire, on obtient des estimations du volume de l'extérieur en termes de la période de la fraction continue associée à la géodésique
Due to the Hyperbolization Theorem, we know precisely when does a given compact three dimensional manifold admits a hyperbolic metric. Moreover, by the Mostow's Rigidity Theorem this geometric structure is unique. However, finding effective and computable connections between the geometry and topology is a challenging problem. Most of the results on this thesis fit into the theme of making the connections more concrete. To every oriented closed geodesic on a hyperbolic surface has a canonical lift on the unit tangent bundle of the surface, and we can see it as a knot in a three dimensional manifold. The knot complement given in this way has a hyperbolic structure. The objective of this thesis is to estimate the volume of the canonical lift complement. For every hyperbolic surface we give a sequence of geodesics on the surface, such that the knot complements associated are not homeomorphic with each other and the sequence of the corresponding volumes is bounded. We also give a lower bound of the volume of the canonical lift complement by an explicit real number which describes a relation between the geodesic and a pants decomposition of the surface. This give us a method to construct a sequence of geodesics where the volume of the associated knot complements is bounded from below in terms of the length of the corresponding geodesic. For the particular case of the modular surface, we obtain estimations for the volume of the canonical lift complement in terms of the period of the continuous fraction expansion of the corresponding geodesic

5

Bauer, Rodolphe. "La modélisation du volume des compartiments riches en composés chimiques extractibles (écorce et nœud) dans six essences d'intérêt des régions Grand-Est et Bourgogne Franche-Comté." Electronic Thesis or Diss., Paris, AgroParisTech, 2021. http://www.theses.fr/2021AGPT0025.

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Dans un contexte de renouvellement de l'industrie chimique et de recherche de nouveaux débouchés pour la foresterie, les extractibles deviennent des molécules de plus en plus intéressantes, tant écologiquement que financièrement parlant. Afin d'évaluer la pertinence de ces molécules comme nouvelle ressource pour la chimie et potentiel débouché pour la foresterie, il est nécessaire de faire une évaluation préalable de la ressource. Ceci nécessite de connaître le volume des compartiments riches en extractibles, particulièrement les écorces et les nœuds. La présente étude s'intéresse donc à la modélisation des volumes d'écorce et de nœuds. Elle se concentre spécifiquement sur deux régions françaises, le Grand Est et la Bourgogne-Franche-Comté et six essences d'importance, Abies alba, Picea abies, Pseudotsuga menziesii, Quercus robur, Quercus patraea, Fagus sylvatica.Cette étude est rendue possible grâce à l'utilisation d'une grande base de données comprenant des mesures d'épaisseur d'écorce pratiquées à différentes hauteurs sur la tige de nombreux arbres. D'autre part de nouveaux échantillonnages ont eu lieu ce qui a permis d'obtenir, grâce à l'utilisation d'un scanner à rayon X, une image informatique des nœuds et d'en mesurer précisément le volume.Afin de modéliser la quantité d'écorce disponible trois types de modèles ont été construits, des modèles de prédiction du volume d'écorce, des modèles de prédiction de la surface d'écorce le long de la tige et des modèles de prédiction de l'épaisseur d'écorce à 1m30. Les premiers ont permis d'atteindre une racine de l'erreur quadratique moyenne relative (RMSErel) comprise entre 16.7 % et 27.5 % en fonction des espèces.L'étude portant sur les modèles de surface d'écorce a permis de mettre en évidence la possibilité d'utiliser un modèle indépendant du diamètre-sur-écorce mais que les modèles utilisant en entrée cet variable sont encore plus précis. Le RMSErel atteint par ces modèles de surface d'écorce varie entre 23 et 38 % en fonction de l'espèce et du modèle considéré. Ce travail a montré l'importance de l'utilisation de l'épaisseur d'écorce à 1m30 comme donnée d'entrée. Celle-ci n'étant aujourd'hui que rarement mesurée, elle a aussi été modélisée à partir du D130. Cela a permis de mettre en évidence une influence de l'altitude sur l'épaisseur d'écorce à 1m30 pour trois espèces : Abies alba, Picea abies, Fagus sylvatica. Les modèles obtenus atteignent un RMSErel allant de 26.8 % à 36 % en fonction de l'espèce considérée.Enfin, les volumes de nœuds ont commencé à être étudiés. Bien que ce travail n'ai pas été entièrement mené, il montre déjà l'importance de produire de nouveaux modèles de volume de nœuds. De plus leur quantité dans le bois semble, à ce stade de l'étude, trop peu importante pour dégager de grandes ressources en extractible, malgré leur grande richesse intrinsèque. Leur intérêt pourrait donc plus se trouver dans l'extraction de molécules spécifiques
In a context of renewal of the chemical industry and the search for new outlets for forestry, extractives are becoming increasingly interesting molecules, both ecologically and financially speaking. In order to evaluate the relevance of these molecules as a new resource for the chemical industry and a potential outlet for forestry, it is necessary to make a preliminary evaluation of the resource. This requires knowledge of the volume of compartments rich in extractable material, particularly bark and knots. The present study therefore focuses on modeling bark and knot volumes. It focuses specifically on two French regions, the Grand Est and the Bourgogne-Franche-Comté, and on six important species, Abies alba, Picea abies, Pseudotsuga menziesii, Quercu robur, Quercus patraea, and Fagus sylvatica.This study is made possible, on one hand, by the use of a large database including numerous measurements of bark thickness made at different heights on the stems of many trees. On the other hand, new samplings have been made to allow X-ray scanning of nodes all along the stem and thus to determine precisely the volume on a computer picture.In order to model the available amount of bark, three types of models were built, models predicting the volume of bark, models predicting the surface area of bark along the stem and models predicting the thickness of bark at 1m30. The former achieved a relative root mean square error (RMSErel) of 16.7% to 27.5% depending on the species.The study of bark area models showed that it was possible to use a model independent of diameter-over-bark but that model using this variable are more accurate. The RMSErel achieved by these bark area models varied between 23 and 38% depending on the species and model considered.This work showed the importance of using the bark thickness at 1m30 as an input data. As it is rarely measured today, it was also modelled using the DBH. This allowed us to show the influence of altitude on bark thickness at 1.30 m for three species: Abies alba, Picea abies, Fagus sylvatica. The models obtained RMSErel of the models ranged from 26.8 to 36 % of RMSErel depending on the species considered.Finally, knot volumes have started to be studied. Although this work has not been fully completed, it already shows the importance of producing new models in order to fit the predicted knot patterns as closely as possible to reality. Moreover, the quantity of these compounds in the wood seems, at this stage of the study, to be too small to provide a large extractable resource, despite their great intrinsic richness. Their interest could therefore be more in the extraction of specific molecules

6

Lamm, Christoph. "Zylinder-knoten und symmetrische Vereinigungen." Bonn : [Mathematisches Institut der Universität Bonn], 1999. http://catalog.hathitrust.org/api/volumes/oclc/45517626.html.

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7

Wolff, Metternich Maria Antonia. "Comfort Zones : The delicate relationship between knitted surfaces and filling materials experienced through human comfort/discomfort." Thesis, Högskolan i Borås, Akademin för textil, teknik och ekonomi, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:hb:diva-22044.

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This paper describes a practice- based research project in which physical and emotional comfort and discomfort is experienced by the human body. A variety of different Comfort Zones are presented. All of them deal with the relationship between filling material and cover, in which knitted structures and materials play a central role in order to create comfort. The elasticity of the knit is challenged when creating volume and emphasizes the idea that comfort is elastic in material/physical way, as well as well in emotions. The use of filling materials gives a new dimension, sensitivity and offers new opportunities. This form exploration discusses the potential of knit to serve as a cover and decorative element, but most importantly the possibility of a textile to create its own filling. By rolling up a knitted tube, volume is built up layer by layer; a torus appears and captures a void in the center of the form, required by the tube, the fundament. Hints of discomfort are given and emphasized by either surface/structure, volume or garments on the body.

8

Rodriguez, Migueles José Andrés. "Géodésiques sur les surfaces hyperboliques et extérieurs des noeuds." Thesis, 2018. http://www.theses.fr/2018REN1S021/document.

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Grâce au théorème d'hyperbolisation, nous savons précisément quand une variété de dimension trois compacte admet une métrique hyperbolique. Par ailleurs, d'après le théorème de rigidité de Mostow, cette structure géométrique est unique. Cependant, trouver des liens pratiques entre la géométrie et la topologie est un problème difficile. La plupart des résultats décrits dans cette thèse visent à concrétiser ces liens. Toute géodésique fermée orientée dans une surface hyperbolique admet un relèvement canonique dans le fibré tangent unitaire de la surface, et on peut donc le voir comme un nœud dans une variété de dimension trois. Les extérieurs des nœuds ainsi construits admettent une structure hyperbolique. Cette thèse a pour objet d'estimer le volume des extérieurs des relèvements canoniques. Pour toute surface hyperbolique on construit une suite de géodésique sur la surface, tel que les extérieurs associées ne sont pas homéomorphes entre elles et dont la suite des volumes respectifs est bornée. Aussi on minore le volume de l'extérieur à l'aide d'un réel explicite qui décrit une relation entre la géodésique et une décomposition en pantalons de la surface. Ceci donne une méthode pour construire une suite de géodésiques dont les volumes des extérieurs associées sont minorées en termes de la longueur de la géodésique correspondant. Dans le cas particulier de la surface modulaire, on obtient des estimations du volume de l'extérieur en termes de la période de la fraction continue associée à la géodésique
Due to the Hyperbolization Theorem, we know precisely when does a given compact three dimensional manifold admits a hyperbolic metric. Moreover, by the Mostow's Rigidity Theorem this geometric structure is unique. However, finding effective and computable connections between the geometry and topology is a challenging problem. Most of the results on this thesis fit into the theme of making the connections more concrete. To every oriented closed geodesic on a hyperbolic surface has a canonical lift on the unit tangent bundle of the surface, and we can see it as a knot in a three dimensional manifold. The knot complement given in this way has a hyperbolic structure. The objective of this thesis is to estimate the volume of the canonical lift complement. For every hyperbolic surface we give a sequence of geodesics on the surface, such that the knot complements associated are not homeomorphic with each other and the sequence of the corresponding volumes is bounded. We also give a lower bound of the volume of the canonical lift complement by an explicit real number which describes a relation between the geodesic and a pants decomposition of the surface. This give us a method to construct a sequence of geodesics where the volume of the associated knot complements is bounded from below in terms of the length of the corresponding geodesic. For the particular case of the modular surface, we obtain estimations for the volume of the canonical lift complement in terms of the period of the continuous fraction expansion of the corresponding geodesic

9

Tatsuoka, Kay S. "The word problem for alternating knots and finite volume hyperbolic groups." 1985. http://catalog.hathitrust.org/api/volumes/oclc/13175834.html.

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10

Boyles, David C. "Complex curves of degree two characters of two-bridge knot groups." 1986. http://catalog.hathitrust.org/api/volumes/oclc/14694845.html.

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Thesis (Ph. D.)--University of Wisconsin--Madison, 1986.
Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 86-87).

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Книги з теми "Knot volume":

1

Murakami, Hitoshi, and Yoshiyuki Yokota. Volume Conjecture for Knots. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1150-5.

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2

Hayes, Diana Jane. Double knit: Volume two. Sarasota, FL: Peppertree Press, 2009.

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3

Data Center (Oakland, Calif.), ed. The Right to know, volume 2. [Oakland, Calif: Data Center, 1988.

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4

Zoia, Horn, Gruber Nancy, Berkowitz Bill, and Data Center (Oakland, Calif.), eds. The Right to know, volume 4. Oakland, Calif: DataCenter, 1992.

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5

Zoia, Horn, Gruber Nancy, and Data Center (Oakland, Calif.), eds. The Right to know, volume 3. Oakland, Calif: Data Center, 1990.

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6

Murakami, Hitoshi, and Yoshiyuki Yokota. Volume Conjecture for Knots. Springer, 2018.

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7

Kauffman, Louis H. On Knots. (AM-115), Volume 115. Princeton University Press, 2016.

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8

Neuwirth, Lee Paul. Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56. Princeton University Press, 2016.

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9

Livingston, Charles. Carus, Volume 24: Knot Theory. American Mathematical Society, 1993.

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10

Kauffman, Louis H., and Sostenes Lins. Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134. Princeton University Press, 2016.

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Частини книг з теми "Knot volume":

1

Ramadevi, P., and Zodinmawia. "Twist Knot Invariants and Volume Conjecture." In Quantum Theory and Symmetries, 275–85. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-55777-5_26.

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2

Murakami, Hitoshi, and Yoshiyuki Yokota. "Representations of a Knot Group, Their Chern–Simons Invariants, and Their Reidemeister Torsions." In Volume Conjecture for Knots, 65–91. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1150-5_5.

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3

Khalid, Azim, Soudi Brahim, Périssol Claude, Imane Thami-Alami, and Roussos Sevastianos. "Suppressive Effect of Root Knot Nematode Meloidogyne spp. During Composting of Tomato Residues." In Microbial BioTechnology for Sustainable Agriculture Volume 1, 449–69. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-4843-4_15.

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4

Murakami, Hitoshi, and Yoshiyuki Yokota. "Volume Conjecture." In Volume Conjecture for Knots, 27–34. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1150-5_3.

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5

Eisenberg, Ronald L. "Volume Loss." In What Radiology Residents Need to Know: Chest Radiology, 43–53. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-16826-1_5.

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6

Murakami, Hitoshi, and Yoshiyuki Yokota. "Generalizations of the Volume Conjecture." In Volume Conjecture for Knots, 93–111. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1150-5_6.

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7

Wang, Rongzhi, and Herbert Chen. "Surgeon Volume." In 50 Landmark Papers every Thyroid and Parathyroid Surgeon Should Know, 194–98. Boca Raton: CRC Press, 2023. http://dx.doi.org/10.1201/9781003196211-35.

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8

Watanabe, Akie, and Sam M. Wiseman. "Surgeon Volume." In 50 Landmark Papers every Thyroid and Parathyroid Surgeon Should Know, 23–27. Boca Raton: CRC Press, 2023. http://dx.doi.org/10.1201/9781003196211-5.

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Sultan, Alan, and Alice F. Artzt. "Measurement: Area and Volume." In The Mathematics that Every Secondary School Math Teacher Needs to Know, 121–73. Second edition. | New York : Routledge, 2017. | Series: Studies in mathematical thinking and learning: Routledge, 2017. http://dx.doi.org/10.4324/9781315391908-4.

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10

Lane, D. J. "Know the place, know the name: Syriac behind the newspapers." In The Harp (Volume 17), edited by Geevarghese Panicker, Rev Jacob Thekeparampil, and Abraham Kalakudi, 211–16. Piscataway, NJ, USA: Gorgias Press, 2011. http://dx.doi.org/10.31826/9781463233051-016.

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Тези доповідей конференцій з теми "Knot volume":

1

MURAKAMI, HITOSHI. "KASHAEV'S INVARIANT AND THE VOLUME OF A HYPERBOLIC KNOT AFTER Y. YOKOTA." In Proceedings of the Nagoya 1999 International Workshop. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810199_0008.

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2

Baseilhac, Stephane, and Riccardo Benedetti. "QHI, 3–manifolds scissors congruence classes and the volume conjecture." In Invariants of Knots and 3--manifolds. Mathematical Sciences Publishers, 2002. http://dx.doi.org/10.2140/gtm.2002.4.13.

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3

Arons, A. B. "Research on teaching and learning: What should teachers know and when should they know it?" In AIP Conference Proceedings Volume 173. AIP, 1988. http://dx.doi.org/10.1063/1.37561.

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4

Rajpurkar, Pranav, Robin Jia, and Percy Liang. "Know What You Don’t Know: Unanswerable Questions for SQuAD." In Proceedings of the 56th Annual Meeting of the Association for Computational Linguistics (Volume 2: Short Papers). Stroudsburg, PA, USA: Association for Computational Linguistics, 2018. http://dx.doi.org/10.18653/v1/p18-2124.

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5

Byrnes, Susan. "Need-to-Know (NTK) Considerations for High Volume Data Access." In Proposed for presentation at the DOE Data Days (D3) 2022 held June 1-3, 2022 in Livermore, CA. US DOE, 2022. http://dx.doi.org/10.2172/2003063.

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Axe, Albert R., and Taryn-Marie McCain. "The applicability and effect of the emergency planning and community right to know act on the photovoltaics industry." In AIP Conference Proceedings Volume 166. AIP, 1988. http://dx.doi.org/10.1063/1.37120.

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Li, Weiping, and Weiping Zhang. "An L2–Alexander–Conway Invariant for Knots and the Volume Conjecture." In Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812772527_0025.

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8

Wu, Weiqi, Chengyue Jiang, Yong Jiang, Pengjun Xie, and Kewei Tu. "Do PLMs Know and Understand Ontological Knowledge?" In Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers). Stroudsburg, PA, USA: Association for Computational Linguistics, 2023. http://dx.doi.org/10.18653/v1/2023.acl-long.173.

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9

Tannenbaum, Michael J. "Observation of KNO scaling in the neutral energy spectra from αα and pp collisions at ISR energies". У AIP Conference Proceedings Volume 150. AIP, 1986. http://dx.doi.org/10.1063/1.36100.

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10

HILDEN, HUGH M., MARÍA TERESA LOZANO, and JOSÉ MARAÍA MONTESINOS-AMILIBIA. "VOLUMES AND CHERN-SIMONS INVARIANTS OF CYCLIC COVERINGS OVER RATIONAL KNOTS." In Proceedings of the 37th Taniguchi Symposium. WORLD SCIENTIFIC, 1996. http://dx.doi.org/10.1142/9789814503921_0003.

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Звіти організацій з теми "Knot volume":

1

Levy Yeyati, Eduardo, and Jimena Zúñiga. Varieties of Capital Flows: What Do We Know? Inter-American Development Bank, April 2016. http://dx.doi.org/10.18235/0007017.

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Capital flows have been the subject of acute policy concern since the Brady plan launched the emerging markets bond asset class. Their massive volume, coupled with their volatile and procyclical nature, is often associated with a variety of financial and real risks, which have changed over time. While emerging market crises in the 1990s and 2000s were inherently driven by financial dollarization and balance sheet effects, financial dollarization has receded in emerging markets and the focus has shifted to the macroeconomic effects of cross-market flows, including extended periods of exchange rate misalignment and the amplification of business cycles in a context of large and persistent terms-of-trade shocks and global liquidity swings. These conditions make it difficult to evaluate capital flows based on data mostly from the 1990s and early 2000s, and recent empirical literature is reviewed that revisits the issue with fresh data and an open mind.

2

BENATECH INC ATLANTA GA. Energy Engineering Analysis Program, Energy Survey of Army Boiler and Chiller Plants at Fort Knox, Kentucky, Volume 1 - Executive Summary. Fort Belvoir, VA: Defense Technical Information Center, March 1993. http://dx.doi.org/10.21236/ada330901.

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3

González, Mario, Alessandro Maffioli, Lina Salazar, and Paul Winters. Assessing the Effectiveness of Agricultural Interventions. Inter-American Development Bank, January 2010. http://dx.doi.org/10.18235/0005694.

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The volume Assessing the Effectiveness of Agricultural Interventions is the Special Topic for the Development Effectiveness Overview 2008-2009. The Special Topic provides an in-depth analysis of what we know about the effectiveness of projects in one of the Bank¿s specific areas of intervention and identifies what we can do to improve the development effectiveness in that area. This year, the Special Topic focuses on agricultural production and productivity, an area in which important changes have recently taken place and in which governments have taken on the dual challenges of promoting competitiveness while ensuring food security. This Special Topic identifies agricultural projects that the IDB and others have been funding in recent years to promote agricultural production and productivity, and reviews the available evidence on their effectiveness. It then identifies where gaps lie in the existing evidence, what needs to be evaluated in the future, and how this might be done.

4

Teräs, Jukka, Helge Flick, Anders Torgeir Hjertø Lind, and Timothy Heleniak. WANO policy brief. Nordregio, February 2024. http://dx.doi.org/10.6027/pb2024:2.2001-3876.

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Waste management in the northern latitudes is often more challenging than in the more central regions. Under the Arctic climate conditions with large distances between settlements and to the recycling facilities, and relatively smaller markets and volume of produced waste, there are special needs for developing new innovative solutions for waste management. WANO focuses on cross-border business and innovation cooperation in the field of waste management, including municipal and industrial waste, in the regions of Troms, Finnmark and Nordland (Norway), Lapland and North Ostrobothnia (Finland) and Norrbotten (Sweden). The project identifies key actors, technologies, innovation trends, and cross-border collaboration possibilities in the Arctic waste sector. Among the lessons learned so far which are highlighted in this policy brief are that waste management in Norway has already taken important steps to promote innovation and cooperation but that there is a demand for additional knowledge-based expertise among the waste management actors in north Norway. Cross-border initiatives are welcomed in north Norway by the actors. The big hindrance seems to be “know-who”: the Norwegian actors need more information about the actors across the border in north Finland and north Sweden.

5

Udo-Udo Jacob, Jacob. Researching Violent Extremism: Considerations, Reflections, and Perspectives. Edited by Kateira Aryaeinejad, Alastair Reed, and Emma Heywood. RESOLVE Network, May 2023. http://dx.doi.org/10.37805/rve2023.1.

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As the nature of violent extremism continues to evolve—both locally and globally—research is essential in our efforts to craft better policy and programming aimed at preventing and addressing it. Research provides information that can help answer some of our most pressing questions about the phenomenon so that we can craft informed and contextually appropriate solutions and avoid potentially negative outcomes. However, while the body of knowledge from research on violent extremism has notably increased and expanded, there is still more to know, learn, and understand, especially given the pace at which global and local dynamics evolve. Using and understanding research on violent extremism goes beyond just reading a research report or journal article. Instead, one must also understand the processes, data, and decisions behind the research and how they may have impacted the findings. This edited volume includes chapters providing unique insight and honest, collective reflection on experiences with conducting research on violent extremism, including the challenges of data collection, choosing research and analysis methods, and managing and building research relationships. These reflections are helpful for those conducting research, those using research to make policy and programmatic decisions, and those seeking to better understand research findings. The chapters not only walk readers through some of the perspectives, insights, methods, and thought processes behind research in this field, they also provide important food for thought for those seeking to undertake or improve their own research on violent extremism and for those using research findings to inform their own policy or programmatic decisions.

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Bilovska, Natalia. HYPERTEXT: SYNTHESIS OF DISCRETE AND CONTINUOUS MEDIA MESSAGE. Ivan Franko National University of Lviv, March 2021. http://dx.doi.org/10.30970/vjo.2021.50.11104.

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In the article we interpret discrete and continuous message as interrupted and constant, limited and continual text, which has specific features and a number of differences between traditional (one-dimensional) text and hypertext (multidimensional). The purpose of this study is to define the concept of “hypertext”, consideration of its characteristics and features of the structure, similarities and differences with the traditional text, including the message in the media and communication. To achieve the goal of the study, we used a number of methods typical of journalism. Empirical analysis enabled a generalized description of the subject of study, which allowed to know it as a phenomenon. With the help of generalization the characteristic and specific regularities and principles of hypertext were studied. The system method is used to identify the dependence of each element of hypertext on its place in the text system as a whole. The retrospective method helped to understand the preconditions for the emergence of hypertext, to trace the dynamics of its development. General scientific methods (analysis, synthesis, induction, deduction) made it possible to formulate the conclusions of the study. Thanks to hypertext and the hypertext systems, the concept of virtual reality has gained tangible meaning. In hypertext space, virtuality organically complements reality. The state of virtuality, in this case, becomes the concept of hyperreality, and all this merges into a single whole in the space of computer text. Due to its volume and multidimensionality, hypertext can arouse scientific interest as an interdisciplinary discipline. In today’s world, the phenomenon of hypertext has been the subject of numerous discussions, conferences and research in the field of social communications, linguistics and psychology. Today, a significant number of organizations conduct large-scale research based on the concepts of hypertext associations and associative navigation.

7

Hertel, Thomas, David Hummels, Maros Ivanic, and Roman Keeney. How Confident Can We Be in CGE-Based Assessments of Free Trade Agreements? GTAP Working Paper, June 2003. http://dx.doi.org/10.21642/gtap.wp26.

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With the proliferation of Free Trade Agreements (FTAs) over the past decade, demand for quantitative analysis of their likely impacts has surged. The main quantitative tool for performing such analysis is Computable General Equilibrium (CGE) modeling. Yet these models have been widely criticized for performing poorly (Kehoe, 2002) and having weak econometric foundations (McKitrick, 1998; Jorgenson, 1984). FTA results have been shown to be particularly sensitive to the trade elasticities, with small trade elasticities generating large terms of trade effects and relatively modest efficiency gains, whereas large trade elasticities lead to the opposite result. Critics are understandably wary of results being determined largely by the authors’ choice of trade elasticities. Where do these trade elasticities come from? CGE modelers typically draw these elasticities from econometric work that uses time series price variation to identify an elasticity of substitution between domestic goods and composite imports (Alaouze, 1977; Alaouze, et al., 1977; Stern et al., 1976; Gallaway, McDaniel and Rivera, 2003). This approach has three problems: the use of point estimates as “truth”, the magnitude of the point estimates, and estimating the relevant elasticity. First, modelers take point estimates drawn from the econometric literature, while ignoring the precision of these estimates. As we will make clear below, the confidence one has in various CGE conclusions depends critically on the size of the confidence interval around parameter estimates. Standard “robustness checks” such as systematically raising or lowering the substitution parameters does not properly address this problem because it ignores information about which parameters we know with some precision and which we do not. A second problem with most existing studies derives from the use of import price series to identify home vs. foreign substitution, for example, tends to systematically understate the true elasticity. This is because these estimates take price variation as exogenous when estimating the import demand functions, and ignore quality variation. When quality is high, import demand and prices will be jointly high. This biases estimated elasticities toward zero. A related point is that the fixed-weight import price series used by most authors are theoretically inappropriate for estimating the elasticities of interest. CGE modelers generally examine a nested utility structure, with domestic production substitution for a CES composite import bundle. The appropriate price series is then the corresponding CES price index among foreign varieties. Constructing such an index requires knowledge of the elasticity of substitution among foreign varieties (see below). By using a fixed-weight import price series, previous estimates place too much weight on high foreign prices, and too small a weight on low foreign prices. In other words, they overstate the degree of price variation that exists, relative to a CES price index. Reconciling small trade volume movements with large import price series movements requires a small elasticity of substitution. This problem, and that of unmeasured quality variation, helps explain why typical estimated elasticities are very small. The third problem with the existing literature is that estimates taken from other researchers’ studies typically employ different levels of aggregation, and exploit different sources of price variation, from what policy modelers have in mind. Employment of elasticities in experiments ill-matched to their original estimation can be problematic. For example, estimates may be calculated at a higher or lower level of aggregation than the level of analysis than the modeler wants to examine. Estimating substitutability across sources for paddy rice gives one a quite different answer than estimates that look at agriculture as a whole. When analyzing Free Trade Agreements, the principle policy experiment is a change in relative prices among foreign suppliers caused by lowering tariffs within the FTA. Understanding the substitution this will induce across those suppliers is critical to gauging the FTA’s real effects. Using home v. foreign elasticities rather than elasticities of substitution among imports supplied from different countries may be quite misleading. Moreover, these “sourcing” elasticities are critical for constructing composite import price series to appropriate estimate home v. foreign substitutability. In summary, the history of estimating the substitution elasticities governing trade flows in CGE models has been checkered at best. Clearly there is a need for improved econometric estimation of these trade elasticities that is well-integrated into the CGE modeling framework. This paper provides such estimation and integration, and has several significant merits. First, we choose our experiment carefully. Our CGE analysis focuses on the prospective Free Trade Agreement of the Americas (FTAA) currently under negotiation. This is one of the most important FTAs currently “in play” in international negotiations. It also fits nicely with the source data used to estimate the trade elasticities, which is largely based on imports into North and South America. Our assessment is done in a perfectly competitive, comparative static setting in order to emphasize the role of the trade elasticities in determining the conventional gains/losses from such an FTA. This type of model is still widely used by government agencies for the evaluation of such agreements. Extensions to incorporate imperfect competition are straightforward, but involve the introduction of additional parameters (markups, extent of unexploited scale economies) as well as structural assumptions (entry/no-entry, nature of inter-firm rivalry) that introduce further uncertainty. Since our focus is on the effects of a PTA we estimate elasticities of substitution across multiple foreign supply sources. We do not use cross-exporter variation in prices or tariffs alone. Exporter price series exhibit a high degree of multicolinearity, and in any case, would be subject to unmeasured quality variation as described previously. Similarly, tariff variation by itself is typically unhelpful because by their very nature, Most Favored Nation (MFN) tariffs are non-discriminatory in nature, affecting all suppliers in the same way. Tariff preferences, where they exist, are often difficult to measure – sometimes being confounded by quantitative barriers, restrictive rules of origin, and other restrictions. Instead we employ a unique methodology and data set drawing on not only tariffs, but also bilateral transportation costs for goods traded internationally (Hummels, 1999). Transportation costs vary much more widely than do tariffs, allowing much more precise estimation of the trade elasticities that are central to CGE analysis of FTAs. We have highly disaggregated commodity trade flow data, and are therefore able to provide estimates that precisely match the commodity aggregation scheme employed in the subsequent CGE model. We follow the GTAP Version 5.0 aggregation scheme which includes 42 merchandise trade commodities covering food products, natural resources and manufactured goods. With the exception of two primary commodities that are not traded, we are able to estimate trade elasticities for all merchandise commodities that are significantly different form zero at the 95% confidence level. Rather than producing point estimates of the resulting welfare, export and employment effects, we report confidence intervals instead. These are based on repeated solution of the model, drawing from a distribution of trade elasticity estimates constructed based on the econometrically estimated standard errors. There is now a long history of CGE studies based on SSA: Systematic Sensitivity Analysis (Harrison and Vinod, 1992; Wigle, 1991; Pagon and Shannon, 1987) Ho

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Preventing freewheeling of public safety portable radio volume-power knob. U.S. Department of Health and Human Services, Public Health Service, Centers for Disease Control and Prevention, National Institute for Occupational Safety and Health, June 2021. http://dx.doi.org/10.26616/nioshpub2021117.

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9

Ecuador: Use commercial marketing to increase sustainability. Population Council, 2001. http://dx.doi.org/10.31899/rh2001.1007.

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Many nongovernmental organizations sell contraceptives through retail outlets to generate income and expand access to these products. In 1998 Centro Médico de Orientación y Planifación Familiar (CEMOPLAF) employed 25 sales agents in 14 cities throughout Ecuador. These agents sold products, including contraceptive methods and home pregnancy tests, to pharmacies, physicians, other distributors, and nontraditional outlets. Contraceptive sales were CEMOPLAF’s largest source of revenue in 1997. Sales had grown rapidly during 1996–97, but CEMOPLAF managers did not know whether product sales were profitable. With support from the Population Council and Family Health International, CEMOPLAF made a detailed analysis of product sales income and costs during 1998. As noted in this summary, the analysis found that net revenue is the best measure of sales performance, since it takes product costs into account; sales agents in large cities had the largest sales and generated most of the profits, whereas sales agents in smaller cities had lower sales volume; and program managers should set up a routine financial analysis system to monitor product sales, profits, and unit costs for sound decision-making.