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1

Robinson, Michael. "Aggregation sheaves for greedy modal decompositions." Journal of Physics Communications 6, no. 4 (2022): 045004. http://dx.doi.org/10.1088/2399-6528/ac6482.

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Abstract This article develops a new theoretical basis for decomposing signals that are formed by the linear superposition of a finite number of modes. Each mode depends linearly on the weights within the superposition and nonlinearly upon several other parameters. The particular focus of this article is upon finding both the weights and the parameters when the number of modes is not known in advance. This article introduces a novel mathematical formalism, aggregation sheaves, and shows how they characterize the behavior of greedy algorithms that attempt to solve modal decomposition problems.
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2

Rokita, Tomasz. "Tests and Examination of Drive Sheave in Mine Skip Hoist." Archives of Mining Sciences 61, no. 2 (2016): 415–24. http://dx.doi.org/10.1515/amsc-2016-0030.

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Abstract This article describes a certain stage of work aimed at strength analysis of the structure of drive sheaves in mine shaft hoists. The work was initiated in connection with the emergence of cracks in those sheaves as a result of operation, and is an attempt to develop a new improved design of the drive sheave. The first stage involved several series of strain gauge measurements of stress in the drive sheaves of machines exposed to their rated load. Measurement technology and results are described in detail in (Rokita & Wójcik, 2013). The results of those measurements were the basis
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Barua, S., and I. El-Thalji. "Systems dynamic model of wear evolution for sheaves used in oil and gas hoisting operations." IOP Conference Series: Materials Science and Engineering 1294, no. 1 (2023): 012039. http://dx.doi.org/10.1088/1757-899x/1294/1/012039.

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Abstract The global offshore drilling contracted fleet consisted of 378 jack-ups, 68 semisubmersibles and 73 drillships, according to Westwood Global Energy Group, as of September 2023. In most regions of the world, rig activity has picked up from increased operator demand and pushed the marketed utilization for jack-ups from 76% to 85%, semis from 60% to 80% and drillships from 82% to 90%. The utilization of a drilling rig depends on various factors, mainly drilling demand, rig capability and specifications, and rig efficiency and reliability. Worn sheave grooves can pull down the efficiency
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Bucchi, Francesco, Francesco Frendo, Federico Bavaresco, and Giuseppe Conte. "Multibody simulation of a rope-driven automated people mover." Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 232, no. 8 (2018): 2173–85. http://dx.doi.org/10.1177/0954409718764533.

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In this paper, a multibody model of the automated people mover, PisaMover, is presented. PisaMover is a rope-driven small train, composed of a few cabins, which makes use of train-inspired bogies. The aim of the model was to support the design of the architecture of the suspensions and to select the proper characteristics of the elastic and damping elements in order to fulfill comfort needs of passengers and to resolve the constraints related to the layout of the vehicle and the guide-ways. For this purpose, attention was especially focussed on the definition of the railway path and the modeli
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Fenina, S., T. Fakhfakh, and M. Haddar. "Dynamic behaviour of V-belt drive system in the presence of sheaves’ lateral misalignment." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, no. 9 (2008): 1673–79. http://dx.doi.org/10.1243/09544062jmes861.

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This paper presents the effects of lateral misalignment of sheaves, on the transverse span displacements of a serpentine belt drive system that contains a driving sheave, a driven sheave, a belt, and a dynamic tensioner. This defect gives rise to dangerous operating conditions for the system. A hybrid discrete—continuous model is adopted, in which the coupling between the discrete variables describing the rotational motion of the three sheaves and the tensioner arm and the continuous variables describing the transverse motion of the belt spans is taken into account. An analytical method based
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6

Zhu, Chengcheng, Fan Li, Dean Meng, and Yuanzhe Dong. "A Study of Large Sheave Counter-Roller Spinning Force." Journal of Physics: Conference Series 2261, no. 1 (2022): 012009. http://dx.doi.org/10.1088/1742-6596/2261/1/012009.

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Abstract In this paper, a counter-roller spinning method is presented, which is designed to produce relatively thin-walled large sheaves. The large sheave counter-roller spinning force is poorly studied. And the forming forces have a significant influence on industrial applications. Herein, theoretical analysis and numerical simulation methods were utilized to explore the large sheave counter-roller spinning process and spinning force. Anisotropy of the material was considered by the Hill-48 anisotropic yield criterion. Numerical simulation has been demonstrated to correspond to experimental v
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Jiang, Jun Ying, Zen Qiang Wang, Hong Wei Ma, Xu Hui Zhang, Hai Yan Wu, and You Jun Zhao. "Remote Monitoring and Control System for Electrical Haulage Shearer." Advanced Materials Research 909 (March 2014): 247–51. http://dx.doi.org/10.4028/www.scientific.net/amr.909.247.

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For the requirements and problems in remote monitoring and control system of electrical haulage shearer, this paper research the key technologies of shearers remote monitoring and control system, such as position and attitude testing, control strategy decision, communication real-time and reliability of network. Position and attitude testing method based SINS (Strap down Inertial Navigation System) was designed to measure position, attitude angle, speed and drum height of shearer together. The shearer control strategy based on work mode was proposed to control shearer working in optimal status
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Wang, Linlin, Dekun Zhang, Dagang Wang, and Cunao Feng. "A Review of Selected Solutions on the Evaluation of Coal-Rock Cutting Performances of Shearer Picks under Complex Geological Conditions." Applied Sciences 12, no. 23 (2022): 12371. http://dx.doi.org/10.3390/app122312371.

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During automatic and intelligent cutting at the coal mining face, complex geological conditions (fold structure, fault structure and magmatic intrusion) easily cause distinct occurrence conditions of coal rock seams (gangue, inclusion, or fault in the coal and rock), which induces different coal-rock cutting performances of shearer picks. Therefore, the objective of the present study is to review the selected solutions on the evaluation of coal-rock cutting performances of shearer picks under complex geological conditions. Occurrence conditions of coal rock seams were classified according to d
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9

Wang, Shi-bo, Shijia Wang, and Zhaoliang Ge. "A Mathematical Model and Error Analysis of Shearer Cutting Path Based on Its Attitude." Mathematical Problems in Engineering 2018 (September 17, 2018): 1–8. http://dx.doi.org/10.1155/2018/1790602.

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The horizon control system is the key technology in the automation of a shearer. The achievement of accurate shearer cutting path plays an important role for horizon control. A mathematical model of cutting path in the local geographic coordinate frame was built. Error analysis based on genetic algorithm (GA) was studied to guarantee the accuracy of the shearer cutting path. Parameters from a MG1000/2660-WD shearer and data from a working face were used to obtain the shearer cutting path with reference to the local geographic coordinate frame. Also, with error analysis based on GA, the desired
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10

He, Guifang, Chunfu Sheng, Hongwei He, et al. "Mathematical and geometrical modeling of braided ropes bent over a sheave." Journal of Engineered Fibers and Fabrics 15 (January 2020): 155892502093972. http://dx.doi.org/10.1177/1558925020939726.

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As soft elements for force transmission, braided fiber ropes play important roles in many fields where the fiber ropes are used bent over sheaves, while the relevant experiments are time-consuming and expensive. Computational simulation is a promising choice for evaluating the performance of fiber ropes when bent over a sheave. This article presents two methods that could be employed to build a model of braided rope bent over a sheave. One is the mathematical method which deduces the exact mathematical equations of braiding curves based on the Frenet–Serret frame. The spatial equations, consid
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11

Voronin, Vyacheslav, and Fedor Nepsha. "Simulation of the electric drive of the shearer to assess the energy efficiency indicators of the power supply system." Journal of Mining Institute 246 (January 23, 2021): 633–39. http://dx.doi.org/10.31897/pmi.2020.6.5.

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This paper considers the problem of electric drive of shearers simulation to assess the indicators of power supply system (PSS) energy efficiency in the context of the introduction of modern devices for controlling the flow of electricity and power. The block diagram of the shearer electric drive simulation model is presented. To take into account fluctuations in the level of consumption of active and reactive power, a model of the executive body of the shearer was used in the work, including a model of the moment of resistance on the auger when cutting. As a result, in the MATLAB Simulink env
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12

Wu, Gang, Xinqiu Fang, Yang Song, et al. "Simulation Optimization and Application of Shearer Strapdown Inertial Navigation System Modulation Scheme." Sensors 23, no. 9 (2023): 4290. http://dx.doi.org/10.3390/s23094290.

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The operating attitude of a shearer based on a three-dimensional (3D) space scale is the necessary basic information for realizing intelligent mining. Aiming to address the problem of the insufficient perception accuracy of shearers, in this paper, the rotation model of the actual turning mechanism of the strapdown inertial navigation system (SINS) of shearers is established, and the error propagation characteristics of different single-axis rotation modulation schemes are revealed. Through theory and simulation, the optimal rotation modulation scheme is determined to be the improved four-posi
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13

Gaitsgory, D. "Twisted Whittaker model and factorizable sheaves." Selecta Mathematica 13, no. 4 (2008): 617–59. http://dx.doi.org/10.1007/s00029-008-0053-0.

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14

Rajani, Ravi, and Mike Prest. "Model-theoretic Imaginaries and Coherent Sheaves." Applied Categorical Structures 17, no. 6 (2008): 517–59. http://dx.doi.org/10.1007/s10485-008-9151-6.

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15

Crans, Sjoerd E. "Quillen closed model structures for sheaves." Journal of Pure and Applied Algebra 101, no. 1 (1995): 35–57. http://dx.doi.org/10.1016/0022-4049(94)00033-f.

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16

Prest, Mike, Vera Puninskaya, and Alexandra Ralph. "Some model theory of sheaves of modules." Journal of Symbolic Logic 69, no. 4 (2004): 1187–99. http://dx.doi.org/10.2178/jsl/1102022218.

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Abstract.We explore some topics in the model theory of sheaves of modules. First we describe the formal language that we use. Then we present some examples of sheaves obtained from quivers. These, and other examples, will serve as illustrations and as counterexamples. Then we investigate the notion of strong minimality from model theory to see what it means in this context. We also look briefly at the relation between global, local and pointwise versions of properties related to acyclicity.
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17

Gabriel, Bittencourt Rios, and Luiz Mariano Hugo. "Model Theory Inspired by Grothendieckian Algebraic Geometry: a Survey of Sheaf Representations for Categorical Model Theory." Latin American Journal of Mathematics 02, no. 01 (2023): 12–50. https://doi.org/10.5281/zenodo.7926048.

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In this survey, we expound sheaf representations of categories in the context of categorical logic. Namely, we present classifying topoi of coherent theories in terms of equivariant sheaves over a topological groupoid, show a generalization of this technique using localic groupoids and finally expose a representation of Grothendieck topoi as global sections of sheaf. Finally, we apply these techniques to provide a quick glance at logical schemes, a novel theory proposed as the model-theoretic analogue to the schemes of Algebraic Geometry.
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18

Shulman, Michael A. "Parametrized spaces model locally constant homotopy sheaves." Topology and its Applications 155, no. 5 (2008): 412–32. http://dx.doi.org/10.1016/j.topol.2007.11.001.

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19

Blass, Andreas, and Andre Scedrov. "Small decidable sheaves." Journal of Symbolic Logic 51, no. 3 (1986): 726–31. http://dx.doi.org/10.2307/2274026.

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Fred Richman conjectured that the following principle is not constructive:(*) If A is a decidable subset of the set N of natural numbers and if, for every decidable subset B of N, either A ⊆ B or A ⊆ N − B, then, for some n ∈ N, A ⊆ {n}.A set A of natural numbers is called decidable if ∀n(n ∈ A ∨ ⌉ (n ∈ A)) holds. In recursive models, this agrees with the recursion-theoretic meaning of decidability. In other contexts, “complemented” and “detachable” are often used.Richman's conjecture was motivated by the problem of uniqueness of divisible hulls of abelian groups in constructive algebra. Richm
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20

Ahmed, Khondokar M. "Study on the Concreate Model for the Development of Supergeometry as a New Category of Supermanifolds." International Journal of Research and Scientific Innovation XI, no. VIII (2024): 383–92. http://dx.doi.org/10.51244/ijrsi.2024.1108031.

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In this present paper sheaves, notion of GH^∞supermanifolds, graded manifolds, morphism, Z-expansion functions of variables in B_L^(m,n), sheaves of graded commutative B_L-algebra, G-supermanifolds, topologies of rings of G-functions are studied. We establish a theorem demonstrating that the Z-expansion on an isometry onto its image and prove a related metric isomorphism.
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21

Estrada, Sergio, and James Gillespie. "The projective stable category of a coherent scheme." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 149, no. 1 (2018): 15–43. http://dx.doi.org/10.1017/s0308210517000385.

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We define the projective stable category of a coherent scheme. It is the homotopy category of an abelian model structure on the category of unbounded chain complexes of quasi-coherent sheaves. We study the cofibrant objects of this model structure, which are certain complexes of flat quasi-coherent sheaves satisfying a special acyclicity condition.
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22

Sui, Yiping, Lei Zhang, Zhipeng Sun, Weixun Yi, and Meng Wang. "Research on Coal and Rock Recognition in Coal Mining Based on Artificial Neural Network Models." Applied Sciences 14, no. 2 (2024): 864. http://dx.doi.org/10.3390/app14020864.

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In the process of coal mining, one of the main reasons for the high labor intensity of workers and the frequent occurrence of casualties is the low level of intelligence of coal mining equipment. As the core equipment in the process of coal mining, the intelligence level of shearers directly affects the safety production and mining efficiency of coal mines. Coal and rock recognition technology is the core technology used to realize the intelligentization of shearers, which is an urgent technical problem to be solved in the field of coal mining. In this paper, coal seam images, rock stratum ima
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23

Hovey, Mark. "Model category structures on chain complexes of sheaves." Transactions of the American Mathematical Society 353, no. 6 (2001): 2441–57. http://dx.doi.org/10.1090/s0002-9947-01-02721-0.

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24

Gillespie, James. "The flat model structure on complexes of sheaves." Transactions of the American Mathematical Society 358, no. 7 (2006): 2855–74. http://dx.doi.org/10.1090/s0002-9947-06-04157-2.

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Zhao, Lijuan, Dongyang Wang, Guocong Lin, Shuo Tian, Hongqiang Zhang, and Yadong Wang. "Prediction of mechanical characteristics of shearer intelligent cables under bending conditions." PLOS ONE 20, no. 2 (2025): e0318767. https://doi.org/10.1371/journal.pone.0318767.

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The frequent bending of shearer cables during operation often leads to mechanical fatigue, posing risks to equipment safety. Accurately predicting the mechanical properties of these cables under bending conditions is crucial for improving the reliability and service life of shearers. This paper proposes a shearer optical fiber cable mechanical characteristics prediction model based on Temporal Convolutional Network (TCN), Bidirectional Long Short-Term Memory (BiLSTM), and Squeeze-and-Excitation Attention (SEAttention), referred to as the TCN-BiLSTM-SEAttention model. This method leverages TCN’
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Robinson, Alan. "Spectral sheaves: A model category for stable homotopy theory." Journal of Pure and Applied Algebra 45, no. 2 (1987): 171–200. http://dx.doi.org/10.1016/0022-4049(87)90067-3.

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Shi, Zhiyuan, Xiaowei Cai, Chi Ma, and Mengyu Liu. "State Evaluation of Hoist Head Sheave Based on Fault Tree and Bayesian Network." Journal of Physics: Conference Series 2355, no. 1 (2022): 012010. http://dx.doi.org/10.1088/1742-6596/2355/1/012010.

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Abstract In order to evaluate the state of the head sheave of a coal mine hoist, this paper establishes a fault tree model for the head sheave, maps its fault tree to a Bayesian network model, calculates the risk score of each fault event and the state grade of the whole head sheave by using the reverse reasoning ability of the Bayesian network model, evaluates the state of the head wheel, provides a basis for the maintenance of the head sheave, and ensure the operation safety of hoisting system.
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28

Nadler, David. "Springer theory via the Hitchin fibration." Compositio Mathematica 147, no. 5 (2011): 1635–70. http://dx.doi.org/10.1112/s0010437x1100546x.

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AbstractWe develop the Springer theory of Weyl group representations in the language of symplectic topology. Given a semisimple complex group G, we describe a Lagrangian brane in the cotangent bundle of the adjoint quotient 𝔤/G that produces the perverse sheaves of Springer theory. The main technical tool is an analysis of the Fourier transform for constructible sheaves from the perspective of the Fukaya category. Our results can be viewed as a toy model of the quantization of Hitchin fibers in the geometric Langlands program.
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ESTRADA, SERGIO, JAMES GILLESPIE, and SINEM ODABAŞI. "Pure exact structures and the pure derived category of a scheme." Mathematical Proceedings of the Cambridge Philosophical Society 163, no. 2 (2016): 251–64. http://dx.doi.org/10.1017/s0305004116000980.

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AbstractLet$\mathcal{C}$be closed symmetric monoidal Grothendieck category. We define the pure derived category with respect to the monoidal structure via a relative injective model category structure on the categoryC($\mathcal{C}$) of unbounded chain complexes in$\mathcal{C}$. We use λ-Purity techniques to get this. As application we define the stalkwise pure derived category of the category of quasi–coherent sheaves on a quasi-separated scheme. We also give a different approach by using the category of flat quasi–coherent sheaves.
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Fewings, Melanie, Steven J. Lentz, and Janet Fredericks. "Observations of Cross-Shelf Flow Driven by Cross-Shelf Winds on the Inner Continental Shelf." Journal of Physical Oceanography 38, no. 11 (2008): 2358–78. http://dx.doi.org/10.1175/2008jpo3990.1.

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Abstract Six-yr-long time series of winds, waves, and water velocity from a cabled coastal observatory in 12 m of water reveal the separate dependence of the cross-shelf velocity profile on cross-shelf and along-shelf winds, waves, and tides. During small waves, cross-shelf wind is the dominant mechanism driving the cross-shelf circulation after tides and tidal residual motions are removed. The along-shelf wind does not drive a substantial cross-shelf circulation. During offshore winds, the cross-shelf circulation is offshore in the upper water column and onshore in the lower water column, wit
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31

Zhao, Xiu Ting, and Jin Meng. "3.5m Head Sheave Finite Element Analysis." Advanced Materials Research 472-475 (February 2012): 1823–26. http://dx.doi.org/10.4028/www.scientific.net/amr.472-475.1823.

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Using Pro/E powerful entity modeling functions and ANSYS finite element analysis of the powerful function, both integration, to spoke type large head sheave work state are analyzed, and establish the mechanical model of the finite element. Through the finite element calculation, carry the strength analysis and research to head sheave in the different conditions. The calculation results show that head sheave works in alternating stress, it is concluded that head sheave of deformation and stress distribution laws. To design and develop spoke type large head sheave provides the basis.
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32

Bittencourt Rios, Gabriel, and Hugo Luiz Mariano. "Model Theory Inspired by Modern Algebraic Geometry." Latin American Journal of Mathematics 2, no. 01 (2023): 12–50. http://dx.doi.org/10.14244/lajm.v2i01.8.

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In this survey, we expound sheaf representations of categories in the context of categorical logic. Namely, we present classifying topoi of coherent theories in terms of equivariant sheaves of groupoid (and then explore the generalization of this technique to a more general categorical context); expose a representation of Grothendieck topoi as global sections of sheaf and, finally, show a quick introduction to logical schemes, a proposed model-theoretic analogue to the schemes of Algebraic Geometry.
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33

Toda, Yukinobu. "Stability conditions and birational geometry of projective surfaces." Compositio Mathematica 150, no. 10 (2014): 1755–88. http://dx.doi.org/10.1112/s0010437x14007337.

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AbstractWe show that the minimal model program on any smooth projective surface is realized as a variation of the moduli spaces of Bridgeland stable objects in the derived category of coherent sheaves.
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34

Khatri, Hemant, and Pavel Berloff. "Role of Eddies in the Maintenance of Multiple Jets Embedded in Eastward and Westward Baroclinic Shears." Fluids 3, no. 4 (2018): 91. http://dx.doi.org/10.3390/fluids3040091.

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Multiple zonal jets observed in many parts of the global ocean are often embedded in large-scale eastward and westward vertically sheared background flows. Properties of the jets and ambient eddies, as well as their dynamic interactions, are found to be different between eastward and westward shears. However, the impact of these differences on overall eddy dynamics remains poorly understood and is the main subject of this study. The roles of eddy relative vorticity and buoyancy fluxes in the maintenance of oceanic zonal jets are studied in a two-layer quasigeostrophic model. Both eastward and
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Ma, Xiaolong, Peng Zhang, Ni Li, XI Shi, and Huaiwu Zou. "Modeling and analysis for dynamic behavior of elevator traction system under the braking of safety gear." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 263, no. 3 (2021): 3738–47. http://dx.doi.org/10.3397/in-2021-2505.

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In the emergency case when the elevator car is over speeding in the downward direction, the traction car will be stopped rapidly by the braking of safety gear. However, the counterweight and the traction sheave are still moving, which maybe induces the collision between the counterweight and the traction sheave, the slip and off-track between the traction sheave and the rope. Therefore, a two sides mass-spring-damping rope model was proposed in this paper to investigate the dynamic behavior of elevator traction system under the braking of safety gear. In this model, the interaction between the
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BAEY, JEAN-MICHEL, and XAVIER CARTON. "Vortex multipoles in two-layer rotating shallow-water flows." Journal of Fluid Mechanics 460 (June 10, 2002): 151–75. http://dx.doi.org/10.1017/s0022112002008170.

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The stability of elliptically perturbed circular vortices is investigated in a two-layer shallow-water model, with constant background rotation. The fluid is bounded above and below by rigid and at surfaces. The linear stability analysis shows that elliptical perturbations are most unstable for moderate Burger numbers and vorticity shears. Shorter waves dominate for more sheared vortices. Shallow-water and quasi-geostrophic growth rates exhibit a striking similarity, except at each end of the Burger number domain. There, cyclones (anticyclones) with finite Rossby numbers are more (less) unstab
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Joslyn, Cliff A., Lauren Charles, Chris DePerno, et al. "A Sheaf Theoretical Approach to Uncertainty Quantification of Heterogeneous Geolocation Information." Sensors 20, no. 12 (2020): 3418. http://dx.doi.org/10.3390/s20123418.

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Integration of multiple, heterogeneous sensors is a challenging problem across a range of applications. Prominent among these are multi-target tracking, where one must combine observations from different sensor types in a meaningful and efficient way to track multiple targets. Because different sensors have differing error models, we seek a theoretically justified quantification of the agreement among ensembles of sensors, both overall for a sensor collection, and also at a fine-grained level specifying pairwise and multi-way interactions among sensors. We demonstrate that the theory of mathem
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Shimoda, Mitsugi, Yoshimi Iwasaki, and Keiichi Kubota. "Harmonic Curved Shears System Prevent of Bile Leakage After Liver Resection in a Pig Model." International Surgery 99, no. 5 (2014): 632–39. http://dx.doi.org/10.9738/intsurg-d-13-00078.1.

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Abstract We evaluated the efficacy of TachoComb (TC) collagen fleece and Harmonic Focus (HF) shears in a pig liver resection model. Pigs were divided into 3 groups of 7, in which vessels were tied with silk and TC was applied to the cut surfaces (Silk+TC group), sealed and sheared with HF and TC (HF+TC group), or sealed using HF alone (HF–TC group). After 1 month, we conducted a histologic evaluation and recorded the incidence of bile leakage with infected collections at the liver cut surface. Six pigs were evaluated in each group. In the Silk+TC group, 4 of the 6 pigs had infected collections
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39

Xu, Zhi Peng, and Zhong Bin Wang. "Research on the Memory Cutting Model of Shearer." Advanced Materials Research 510 (April 2012): 170–75. http://dx.doi.org/10.4028/www.scientific.net/amr.510.170.

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Automatic" and "less people" in fully mechanized working face is the target of China's coal industry development, and the key to achieve this goal is the automation of coal mining. According to the previous technology of memory cutting cannot adapt to the complicated geological condition in China, this paper proposed the technology of shearer self-adaptive memory cutting based on fuzzy control theory, the shearer positioning system and fuzzy control system of self-adaptive cutting. These systems can get the message of shearer's position and attitude at any point, trace the memorial cutting pat
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Lugrís, U., J. L. Escalona, D. Dopico, and J. Cuadrado. "Efficient and accurate simulation of the rope–sheave interaction in weight-lifting machines." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 225, no. 4 (2011): 331–43. http://dx.doi.org/10.1177/1464419311403224.

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This article presents different approaches that can be used for modelling wire ropes in weight-lifting machines. It is shown that modelling the rope as a linear spring, although very simple and efficient, is energetically inconsistent and produces spurious terms in the equations of motion if the rope deformation along the segment in contact with the sheave is not considered. In order to overcome this problem and obtain an efficient yet accurate method for the simulation of such systems, a semi-analytical method is derived by introducing an analytical model of the rope–sheave interaction in the
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Ghilardi, Silvio, and Marek Zawadowski. "A sheaf representation and duality for finitely presented Heyting algebras." Journal of Symbolic Logic 60, no. 3 (1995): 911–39. http://dx.doi.org/10.2307/2275765.

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AbstractA. M.Pitts in [Pi] proved that is a bi-Heyting category satisfying the Lawvere condition. We show that the embedding Φ: → Sh(P0, J0) into the topos of sheaves, (P0 is the category of finite rooted posets and open maps, J0 the canonical topology on P0) given by H ↦ HA(H, (−)) : P0 → Set preserves the structure mentioned above, finite coproducts, and subobject classifier; it is also conservative. This whole structure on can be derived from that of Sh(P0, J0) via the embedding Φ. We also show that the equivalence relations in are not effective in general. On the way to these results we es
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Wang, S., X. Zheng, and Q. Jiang. "Strongly sheared stratocumulus convection: an observationally based large-eddy simulation study." Atmospheric Chemistry and Physics 12, no. 11 (2012): 5223–35. http://dx.doi.org/10.5194/acp-12-5223-2012.

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Abstract. Unusually large wind shears across the inversion in the stratocumulus-topped marine boundary layer (MBL) were frequently observed during VOCALS-REx. To investigate the impact of wind shear on the MBL turbulence structure, a large-eddy simulation (LES) model is used to simulate the strongly sheared MBL observed from Twin-Otter RF 18 on 13 November 2008. The LES simulated turbulence statistics agree in general with those derived from the measurements, with the MBL exhibiting a decoupled structure characterized by an enhanced entrainment and a turbulence intensity minimum just below the
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43

van Bogaert, P., and S. van Bogaert. "Mechanics of Bend-Over-Sheave (Shoeshine) Fatigue Testing of Cord-Rubber Laminates." Tire Science and Technology 39, no. 3 (2011): 168–92. http://dx.doi.org/10.2346/1.3637742.

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Abstract The Bend-Over-Sheave test is used for screening reinforcement cords used in tires, especially on fatigue interply delamination as well as rubber-fabric and rubber-cord adhesion degradation. The typical cyclic load of tension-tension of the sidewalls or tension-compression of the belt can be achieved by the proper definition of two-ply laminates bent over a sheave. The objective of this paper is to define relevant fatigue test conditions that can predict the performance of new materials. A finite element model of the Bend-Over-Sheave test configuration is presented and shows that, for
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44

Han, Ying, and Boualem Khouider. "Convectively Coupled Waves in a Sheared Environment." Journal of the Atmospheric Sciences 67, no. 9 (2010): 2913–42. http://dx.doi.org/10.1175/2010jas3335.1.

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Abstract A linear stability analysis, about a radiative–convective equilibrium in a sheared environment, on an equatorial beta plane, for a simple multicloud model for organized tropical convection is presented here. Both vertical/baroclinic and meridional/barotropic zonal wind shears are considered separately in a parameter regime for which the shear-free multicloud model exhibits synoptic-scale instability of Kelvin and n = 0 eastward inertio-gravity [eastward mixed Rossby–gravity (MRG)] waves only, with moderate growth rates. The maximum growth rates appear to increase significantly with th
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45

Keiter, E. R., W. N. G. Hitchon, and M. J. Goeckner. "A kinetic model of pulsed sheaths." Physics of Plasmas 1, no. 11 (1994): 3709–12. http://dx.doi.org/10.1063/1.870906.

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Horwitz, Chris M., and Tom Puzzer. "Radio frequency sheaths—adjustable waveform model." Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films 8, no. 4 (1990): 3132–40. http://dx.doi.org/10.1116/1.576596.

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Han, Yunting, Xiaolong Ma, Jinduo Zhang, and Xi Shi. "Investigation of Rope-sheave Dynamic Contact Characteristics Based on Absolute Nodal Coordinate Formulation." Journal of Physics: Conference Series 3004, no. 1 (2025): 012054. https://doi.org/10.1088/1742-6596/3004/1/012054.

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Abstract Rope-sheave traction mechanisms are crucial components in weight lifting equipment, where the interaction between the rope and the traction sheave is essential for the system’s performance. To address the dynamic contact characteristics of this interaction, this study employs the Absolute Nodal Coordinate Formulation (ANCF) to develop a detailed contact dynamics model of the rope-sheave system. By applying this method, the model accurately simulates the contact force distribution on the traction interface under varying acceleration conditions, revealing that violent impacts lead to si
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Jia, Xian Zhao, and Yong Fei Wang. "Hoist Sheave Structure Optimization and Lightweight." Applied Mechanics and Materials 741 (March 2015): 133–37. http://dx.doi.org/10.4028/www.scientific.net/amm.741.133.

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To ensure wheel body of the hoisting sheave strength and stability condition. For the purpose of wheel body lightweighting. There are two schemes to reduce body weight.Reduce the spokes at the same time increase the ring stiffened plate, and reduce the spokes at the same time change the spokes width and thickness.The wheel body was established based on Pro/E 3D geometric model. Import the mesh in the Workbench of ANSYS software for finite element model. Statics analysis to select the optimized scheme. Establish a hoisting sheave wheel body under the actual working condition of widening the wid
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Zeng, Qing Liang, Bin Zhang, Jian Liang Li, Xing Hua Wang, and Zai Chao Wu. "Mechanical System Simulation Analysis of Shearer Cutting Unit Based on Adams." Applied Mechanics and Materials 268-270 (December 2012): 856–59. http://dx.doi.org/10.4028/www.scientific.net/amm.268-270.856.

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Shearer cutting unit is the main working mechanism of the shearer and its performance is a direct reflection of the performance of the shearer. Three-dimensional solid model of shearer cutting unit mechanical system was built by 3D modeling software Pro/E, and then it was imported into ADAMS through a dedicated interface module. After adding constraints and movement driven and calibrating model, the simulation analysis in the ADAMS was established and analysis of the forces of the three key pin hinge point was achieved, which provided the basis for the shearer cutting unit mechanical system de
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Dobrzynski, Krzysztof, Zbigniew Lubosny, Jacek Klucznik, Janusz Grala, and Dominik Falkowski. "Incomplete Cross-Bonding in the MV Line. Experience from the Operation of MV Single Cable Lines." Energies 13, no. 20 (2020): 5292. http://dx.doi.org/10.3390/en13205292.

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Cable lines are one of the basic components of power systems. Medium and high voltage cables mainly comprise a metallic sheath, which is concentric to the main core conductor. There are several operating schemes of such cable lines, which differ in the place of earthing of sheaths and the possible use of the sheaths and/or conductors crossing. The sheaths cross-bonding is typically done in two places of one cable line section, and it allows to reduce power losses. Nevertheless, the use of incomplete sheaths crossing—only in one place on cable route may have economic justification. The paper pr
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