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1

BREMNER, ANDREW. "ON PERFECT -RATIONAL CUBOIDS." Bulletin of the Australian Mathematical Society 97, no. 1 (2017): 26–32. http://dx.doi.org/10.1017/s0004972717000697.

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Let $K$ be an algebraic number field. A cuboid is said to be $K$-rational if its edges and face diagonals lie in $K$. A $K$-rational cuboid is said to be perfect if its body diagonal lies in $K$. The existence of perfect $\mathbb{Q}$-rational cuboids is an unsolved problem. We prove here that there are infinitely many distinct cubic fields $K$ such that a perfect $K$-rational cuboid exists; and that, for every integer $n\geq 2$, there is an algebraic number field $K$ of degree $n$ such that there exists a perfect $K$-rational cuboid.
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2

Mishima, Masashi, Hideaki Uchiyama, Diego Thomas, et al. "Incremental 3D Cuboid Modeling with Drift Compensation." Sensors 19, no. 1 (2019): 178. http://dx.doi.org/10.3390/s19010178.

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This paper presents a framework of incremental 3D cuboid modeling by using the mapping results of an RGB-D camera based simultaneous localization and mapping (SLAM) system. This framework is useful in accurately creating cuboid CAD models from a point cloud in an online manner. While performing the RGB-D SLAM, planes are incrementally reconstructed from a point cloud in each frame to create a plane map. Then, cuboids are detected in the plane map by analyzing the positional relationships between the planes, such as orthogonality, convexity, and proximity. Finally, the position, pose, and size
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3

Selvadurai, A. P. S., A. Blain-Coallier, and P. A. Selvadurai. "Estimates for the Effective Permeability of Intact Granite Obtained from the Eastern and Western Flanks of the Canadian Shield." Minerals 10, no. 8 (2020): 667. http://dx.doi.org/10.3390/min10080667.

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Granitic rock from the western part of the Canadian Shield is considered as a potential host rock for the siting of a deep geological repository for the storage of heat-emitting high-level nuclear fuel waste. The research program focused on the use of surface permeability measurements conducted at 54 locations on a 300 mm cuboid of granite, obtained from the Lac du Bonnet region in Manitoba, to obtain an estimate for the effective permeability of the cuboid. Companion experiments are conducted on a 280 mm cuboid of granite obtained from Stanstead, Quebec, located in the eastern part of the Can
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Yan, Jing Jie, and Ming Han Xin. "Facial Expression Recognition Based on Fused Spatio-Temporal Features." Applied Mechanics and Materials 347-350 (August 2013): 3780–85. http://dx.doi.org/10.4028/www.scientific.net/amm.347-350.3780.

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Although spatio-temporal features (ST) have recently been developed and shown to be available for facial expression recognition and behavior recognition in videos, it utilizes the method of directly flattening the cuboid into a vector as a feature vector for recognition which causes the obtained vector is likely to potentially sensitive to small cuboid perturbations or noises. To overcome the drawback of spatio-temporal features, we propose a novel method called fused spatio-temporal features (FST) method utilizing the separable linear filters to detect interesting points and fusing two cuboid
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5

Alt, Helmut, and Nadja Scharf. "Approximating Smallest Containers for Packing Three-Dimensional Convex Objects." International Journal of Computational Geometry & Applications 28, no. 02 (2018): 111–28. http://dx.doi.org/10.1142/s0218195918600026.

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We investigate the problem of computing a minimal-volume container for the non-overlapping packing of a given set of three-dimensional convex objects. Already the simplest versions of the problem are [Formula: see text]-hard so that we cannot expect to find polynomial time algorithms to determine the exact solution. We give constant ratio approximation algorithms for packing axis-parallel (rectangular) cuboids under translation into an axis-parallel (rectangular) cuboid as container, for packing cuboids under rigid motions into an axis-parallel cuboid or into an arbitrary convex container, and
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6

Zedgenizov, D. A., H. Kagi, V. S. Shatsky, and N. V. Sobolev. "Carbonatitic melts in cuboid diamonds from Udachnaya kimberlite pipe (Yakutia): evidence from vibrational spectroscopy." Mineralogical Magazine 68, no. 1 (2004): 61–73. http://dx.doi.org/10.1180/0026461046810171.

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AbstractMicro-inclusions (1 –10 μm) in 55 diamonds of cubic habit from the Udachnaya kimberlite pipe have been studied using vibrational spectroscopy. This has revealed a multiphase assemblage in cuboid diamonds from the Udachnaya kimberlite pipe. This assemblage includes carbonates, olivine, apatite, graphite, water and silicate glasses. The micro-inclusions preserve the high internal pressure and give confidence that the original materials were trapped during growth of the host diamond. The internal pressures, extrapolated to mantle temperatures, lie within the stability field of diamond and
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7

Li, Huiyu, Li Liao, Guangwei Chen, Guoqing Hu, and Zhehai Zhou. "Micro-cuboid for focusing pattern at visible wavelength." Laser Physics Letters 22, no. 7 (2025): 075901. https://doi.org/10.1088/1612-202x/adf03b.

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Abstract Microlens arrays have emerged as a promising approach for enhancing detector sensitivity through improved light collection efficiency. In this study, we propose a micrometer-scale cuboid structure designed to focus incident light within the visible spectrum, drawing inspiration from the sensitivity enhancement of solid immersion lenses based on metalens. The wavefront manipulation capabilities of these cuboidal elements were systematically investigated via finite-difference time-domain simulations, followed by experimental validation. The micro-cuboid structures are fabricated by etch
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8

Zheng, Jingxu, Zhongyuan Luo, Lida Tan, and Bin Chen. "Nano-Sized Cuboid-Shaped Phase in Mg–Nd–Y Alloy and its Behavior During Isothermal Aging." Microscopy and Microanalysis 22, no. 6 (2016): 1244–50. http://dx.doi.org/10.1017/s1431927616011764.

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AbstractIn the present study, nano-sized cuboid-shaped particles in Mg–Nd–Y are studied by means of Cs-corrected atomic-scale high-angle annular dark-field scanning transmission electron microscopy. The structure of the cuboid-shaped phase is identified to be yttrium (major component) and neodymium atoms in face-centered cubic arrangement without the participation of Mg. The lattice parameter a=5.15 Å. During isothermal aging at 225°C, Mg3(Nd,Y) precipitates adhere to surface (100) planes of the cuboid-shaped particles with the orientation relationship: $[100]_{{{\rm Mg}_{{\rm 3}} {\rm RE}}} \
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9

Doi, Minoru, Tomokazu Moritani, and Takao Kozakai. "Two-Phase Microstructures Formed by Phase-Separations of Ordered Precipitates in Fe-Si-V Alloys." Materials Science Forum 561-565 (October 2007): 2357–60. http://dx.doi.org/10.4028/www.scientific.net/msf.561-565.2357.

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Phase-separation of D03 precipitates in A2 matrix of Fe-Si-V alloys was investigated with TEM. When Fe-14.5at%Si-12.9at%V alloy is aged at 873 K, the phase-separation of cuboidal D03 precipitates occurs and A2 particles newly appear in each D03 cuboid. The A2 particles grow to become plates, then the A2 plates elongate along {100} to reach the A2 matrix, and finally the split of D03 cuboid is realized to form smaller cuboids. When Fe-15.5at%Si-5.0at%V alloy is aged at 873 K, the phase-separation of rod-shaped D03 precipitates occurs and A2 particles newly appear in each D03 rod. The A2 particl
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10

Gevorgyan, H. "PROOF OF THE IMPOSSIBILITY OF THE PERFECT CUBOID EXISTENCE." East European Scientific Journal 1, no. 6(70) (2021): 42–45. http://dx.doi.org/10.31618/essa.2782-1994.2021.1.70.70.

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The problem of finding, among the Euler parallelepipeds, one with an integer spatial diagonal, called the perfect cuboid problem, is one of the unsolved mathematical problems from the section of number theory. This article provides mathematical proof of the impossibility of the existence of the perfect cuboide among all possible Euler parallelepipeds. A mathematical justification for an equivalence of the problem of doubling a cube and the problem of constructing a perfect cuboid is also given.
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11

Culham, J. R., M. M. Yovanovich, P. Teertstra, C. S. Wang, G. Refai-Ahmed, and Ra-Min Tain. "Simplified Analytical Models for Forced Convection Heat Transfer From Cuboids of Arbitrary Shape." Journal of Electronic Packaging 123, no. 3 (2000): 182–88. http://dx.doi.org/10.1115/1.1347993.

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Three analytical models are presented for determining laminar, forced convection heat transfer from isothermal cuboids. The models can be used over a range of Reynolds number, including at the diffusive limit where the Reynolds number goes to zero, and for a range of cuboid aspect ratios from a cube to a flat plate. The models provide a simple, convenient method for calculating an average Nusselt number based on cuboid dimensions, thermophysical properties and the approach velocity. Both the cuboid and the equivalent flat plate models are strongly dependent upon the flow path length which is b
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12

Jiang, Xintong, Hanbo Cui, Zongyun Mo, and Shenghao Guo. "Experimental Study on the Characteristics of Wind-Induced Snow Distribution on Structures with Openings." Symmetry 17, no. 2 (2025): 249. https://doi.org/10.3390/sym17020249.

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Under the action of wind, snow particles can accumulate unevenly on and around the surface of a structure, which can affect structural stability. In this study, cuboid-horizontal and cuboid-vertical structures were taken as research objects, and a wind tunnel test method was used to investigate the effect of the size and position (height) of an opening on snow distribution on and around the surface of a single-opening cuboid, as well as the effect of the relative position of a double-opening cuboid. A roughness coefficient (JRC) was used to describe the characteristics of snow cover around the
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13

Pountos, Ippokratis, Michalis Panteli, and PeterV Giannoudis. "Cuboid injuries." Indian Journal of Orthopaedics 52, no. 3 (2018): 297. http://dx.doi.org/10.4103/ortho.ijortho_610_17.

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14

Everson, Lenore I., Howard R. Galloway, Jin-Suck Suh, Karen S. Benninghoff, and Harry J. Griffiths. "CUBOID SUBLUXATION." Orthopedics 14, no. 9 (1991): 1037–48. http://dx.doi.org/10.3928/0147-7447-19910901-17.

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15

Martin, Christine, Ashley Zapf, and Daniel C. Herman. "Cuboid Syndrome." Current Sports Medicine Reports 16, no. 4 (2017): 221. http://dx.doi.org/10.1249/jsr.0000000000000373.

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16

Adams, Erik, and Chris Madden. "Cuboid Subluxation." Current Sports Medicine Reports 8, no. 6 (2009): 300–307. http://dx.doi.org/10.1249/jsr.0b013e3181c1b939.

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17

Yahia, Eman, William Schupbach, and Kannan N. Premnath. "Three-Dimensional Central Moment Lattice Boltzmann Method on a Cuboid Lattice for Anisotropic and Inhomogeneous Flows." Fluids 6, no. 9 (2021): 326. http://dx.doi.org/10.3390/fluids6090326.

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Lattice Boltzmann (LB) methods are usually developed on cubic lattices that discretize the configuration space using uniform grids. For efficient computations of anisotropic and inhomogeneous flows, it would be beneficial to develop LB algorithms involving the collision-and-stream steps based on orthorhombic cuboid lattices. We present a new 3D central moment LB scheme based on a cuboid D3Q27 lattice. This scheme involves two free parameters representing the ratios of the characteristic particle speeds along the two directions with respect to those in the remaining direction, and these paramet
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18

Kubala, P., and M. Cieśla. "Random Sequential Adsorption of Unoriented Cuboids with a Square Base and a Comparison of Cuboid--Cuboid Intersection Tests." Acta Physica Polonica B 49, no. 5 (2018): 981. http://dx.doi.org/10.5506/aphyspolb.49.981.

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19

Durall, Chris J. "Examination and Treatment of Cuboid Syndrome." Sports Health: A Multidisciplinary Approach 3, no. 6 (2011): 514–19. http://dx.doi.org/10.1177/1941738111405965.

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Context: Cuboid syndrome is thought to be a common source of lateral midfoot pain in athletes. Evidence Acquisition: A Medline search was performed via PubMed (through June 2010) using the search terms cuboid, syndrome, subluxed, locked, fault, dropped, peroneal, lateral, plantar, and neuritis with the Boolean term AND in all possible combinations. Retrieved articles were hand searched for additional relevant references. Results: Cuboid syndrome is thought to arise from subtle disruption of the arthrokinematics or structural congruity of the calcaneocuboid joint, although the precise pathomech
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20

Miller, S. Rick, and Charleen Handzel. "Isolated Cuboid Fracture." Journal of the American Podiatric Medical Association 91, no. 2 (2001): 85–88. http://dx.doi.org/10.7547/87507315-91-2-85.

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Solitary fractures of the cuboid are rare. Proper diagnosis and treatment of subtle cuboid fractures are essential to minimize long-term disability and must begin with the appropriate clinical suspicion. Treatment of overt cuboid fractures has changed over time and now includes aggressive repair of the fracture. The authors provide an overview of cuboid fractures and report on a patient with a minimally displaced fracture who was treated conservatively. (J Am Podiatr Med Assoc 91(2): 85-88, 2001)
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21

Tazaki, Masakazu, Takaaki Hirano, Yui Akiyama, Hiroyuki Mitsui, Kazuaki Hirata, and Hisateru Niki. "Anatomical Study of the Cuboid and Its Ligamentous Attachments and Its Implications for a Cuboid Osteotomy." Foot & Ankle Orthopaedics 5, no. 4 (2020): 247301142095965. http://dx.doi.org/10.1177/2473011420959651.

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Background: Lateral column lengthening (LCL) for flexible flatfoot is an effective surgery with powerful correction of deformity because it tightens only the lateral third of the long plantar ligament (LPL). However, LCL has been associated with joint damage at the osteotomy site and loss of foot flexibility owing to joint fixation. We focused on the cuboid and investigate a novel anatomical LCL osteotomy site that effectively tightens the LPL without damaging any joints. Methods: We studied 24 feet of 12 cadavers (mean age, 80.8 years). The lengths of the LPL and short plantar ligament, locat
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22

Lucerna, Alan, James Espinosa, Nicholas Butler, Ashley Wenke, and Nicole Caltabiano. "Nutcracker Cuboid Fracture: A Case Report and Review." Case Reports in Emergency Medicine 2018 (2018): 1–3. http://dx.doi.org/10.1155/2018/3804642.

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Here we report the case of a 20-year-old female restrained driver who presented to the emergency department (ED) after a motor vehicle accident. She sustained an isolated fracture of her left cuboid, consistent with a nutcracker cuboid fracture. A cuboid fracture is considered rare. It is even more uncommon for a cuboid fracture to occur in isolation, without other associated injuries to the foot. We discuss the mechanism, relevant anatomy, diagnosis, and principles of treatment of the nutcracker cuboid fracture.
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23

Kalendar, Abdulrahim, Yousuf Alhendal, Shafqat Hussain, and Patrick Oosthuizen. "The Effect of Inclination on Natural Convective Heat Transfer from a Slender Cuboid." Processes 9, no. 9 (2021): 1668. http://dx.doi.org/10.3390/pr9091668.

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A numerical study was undertaken of the naturally occurring laminar convective heat transfer from a slender cuboid with a relatively narrow cross-section (square) and an exposed top surface. The cuboid was perpendicularly placed on an adiabatic flat base plate and two types of surface boundary conditions were considered. The slender cuboid was inclined relative to the vertical axis at angles ranging from 0 to 180 degrees. The flow was considered symmetrical along the vertical axis of the slender cuboid. The equations governing the system were numerically solved in terms of dimensionless variab
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24

Littlejohn, Stephen C., Lawrence L. Line, and L. Buford Yerger. "COMPLETE CUBOID DISLOCATION." Orthopedics 19, no. 2 (1996): 175–76. http://dx.doi.org/10.3928/0147-7447-19960201-15.

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25

Subotnick, SI. "Peroneal cuboid syndrome." Journal of the American Podiatric Medical Association 79, no. 8 (1989): 413–14. http://dx.doi.org/10.7547/87507315-79-8-413.

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Shoemaker, SK, and GG Sinclair. "The stepped cuboid." Journal of the American Podiatric Medical Association 81, no. 9 (1991): 508–9. http://dx.doi.org/10.7547/87507315-81-9-508.

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The authors review a case presentation of a symptomatic cuboid metatarsal joint anomaly and discuss possible treatments, both conservative and surgical. The patient was treated conservatively and had some relief of symptoms.
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27

Walker, Marshall. "Golden Cuboid Sequences." Fibonacci Quarterly 23, no. 2 (1985): 153–54. http://dx.doi.org/10.1080/00150517.1985.12429838.

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28

Pierre-Jerome, Claude, Emmanuel Reyes, Aparna Kakarala, and Michael R. Terk. "The Cuboid Bone." Contemporary Diagnostic Radiology 34, no. 23 (2011): 1–5. http://dx.doi.org/10.1097/01.cdr.0000408555.19283.4b.

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&NA;. "The Cuboid Bone." Contemporary Diagnostic Radiology 34, no. 23 (2011): 6. http://dx.doi.org/10.1097/01.cdr.0000408557.26906.e0.

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Zapf, Ashley D., Christine Morgan, and Daniel C. Herman. "Recognizing Cuboid Syndrome." Current Sports Medicine Reports 17, no. 1 (2018): 6. http://dx.doi.org/10.1249/jsr.0000000000000437.

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31

Stoyan, Y. G., and A. M. Chugay. "Packing Different Cuboids with Rotations and Spheres into a Cuboid." Advances in Decision Sciences 2014 (March 10, 2014): 1–19. http://dx.doi.org/10.1155/2014/571743.

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The paper considers a packing optimization problem of different spheres and cuboids into a cuboid of the minimal height. Translations and continuous rotations of cuboids are allowed. In the paper, we offer a way of construction of special functions (Φ-functions) describing how rotations can be dealt with. These functions permit us to construct the mathematical model of the problem as a classical mathematical programming problem. Basic characteristics of the mathematical model are investigated. When solving the problem, the characteristics allow us to apply a number of original and state-of-the
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De P. T. Alves, Marcelo, Catia F. C. Nunes, Gonçalo M. X. Modesto, and Sofia A. S. Madeira. "Isolated traumatic dislocation of the cuboid." International Journal of Research in Orthopaedics 9, no. 5 (2023): 1050–52. http://dx.doi.org/10.18203/issn.2455-4510.intjresorthop20232621.

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The cuboid bone stabilizes the lateral column of the foot. It articulates with the midtarsal and tarsometatarsal joints and this anatomically proportionates marked stability to the cuboid. Isolated dislocations of the cuboid a rare ocurrence. The authors present a rare case of an isolated traumatic dislocation of the cuboid bone without fracture and present a short review of the pertinent literature.
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Jung, Woonhyung, Janghun Hyeon, and Nakju Doh. "Robust Cuboid Modeling from Noisy and Incomplete 3D Point Clouds Using Gaussian Mixture Model." Remote Sensing 14, no. 19 (2022): 5035. http://dx.doi.org/10.3390/rs14195035.

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A cuboid is a geometric primitive characterized by six planes with spatial constraints, such as orthogonality and parallelism. These characteristics uniquely define a cuboid. Therefore, previous modeling schemes have used these characteristics as hard constraints, which narrowed the solution space for estimating the parameters of a cuboid. However, under high noise and occlusion conditions, a narrowed solution space may contain only false or no solutions, which is called an over-constraint. In this paper, we propose a robust cuboid modeling method for point clouds under high noise and occlusio
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34

Xu, Yating, Si Pan, and Raja Ghosh. "A New Approach for Increasing Speed, Loading Capacity, Resolution, and Scalability of Preparative Size-Exclusion Chromatography of Proteins." Processes 10, no. 12 (2022): 2566. http://dx.doi.org/10.3390/pr10122566.

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Low speed, low capacity, and poor scalability make size-exclusion chromatography (SEC) unattractive for use in the preparative separation of proteins. We discuss a novel z2 cuboid SEC device that addresses these challenges. A z2 cuboid SEC device (~24 mL volume) was systematically compared with a conventional SEC column having the same volume and packed with the same resin. The primary objective of this study was to use the same volume of SEC medium in a much more efficient way by using the novel device. At any given flow rate, the pressure drop across the z2 cuboid SEC device was lower by a f
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Chen, Guoqiang, and Raja Ghosh. "Effect of the Length-to-Width Aspect Ratio of a Cuboid Packed-Bed Device on Efficiency of Chromatographic Separation." Processes 6, no. 9 (2018): 160. http://dx.doi.org/10.3390/pr6090160.

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In recent papers we have discussed the use of cuboid packed-bed devices as alternative to columns for chromatographic separations. These devices address some of the major flow distribution challenges faced by preparative columns used for process-scale purification of biologicals. Our previous studies showed that significant improvements in separation metrics such as the number of theoretical plates, peak shape, and peak resolution in multi-protein separation could be achieved. However, the length-to-width aspect ratio of a cuboid packed-bed device could potentially affect its performance. A sy
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Gallardo, Fernando Vargas, Leonardo Lagos Sepulveda, Mauricio Parra Henriquez, Christian Urbina Bahamonde, Francisco Bravo Gallardo, and Christian Bastias Soto. "Cuboid fracture: surgical treatment, midterm follow-up, and management algorithm." Journal of the Foot & Ankle 18, no. 2 (2024): 209–14. http://dx.doi.org/10.30795/jfootankle.2024.v18.1742.

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Objectives: Describe the epidemiology of cuboid fracture, the mechanisms of injury and associated injuries, the progression to osteoarthritis, and propose a surgical management algorithm. Methods: A retrospective and descriptive study of patients with cuboid fractures operated on between 2009 and 2014. The variables analyzed were age, sex, mechanism of injury, classification, associated fractures, and osteoarthritis changes, among others. Results: Twenty-seven patients were included: 19 men and eight women. The mean age was 41.3 years (range 25 - 62). The mean followup was 3.3 years. The mecha
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37

International, Journal of Medical Science and Innovative Research (IJMSIR). "Anunusual case of isolated stress fracture of cuboid bone." International Journal of Medical Science and Innovative Research (IJMSIR) 9, no. 3 (2024): 124–26. https://doi.org/10.5281/zenodo.15407892.

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<strong>Abstract</strong> Cuboid isolated stress fractures are uncommon. Stress fracture has been reported in adults extremely infrequently, despite being significantly more common in youngsters. The cuboid, which is regarded as the cornerstone of the lateral column, is subjected to several stresses while standing and walking despite not being directly engaged in weight bearing. Because stress fracture symptoms are nonspecific and radiography is typically the first imaging modality employed, the identification of this problem is frequently delayed. It is commonly known that radiography has a l
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Yan, Xingyuan, Chenchen Liu, Guanwen Huang, et al. "A Priori Solar Radiation Pressure Model for BeiDou-3 MEO Satellites." Remote Sensing 11, no. 13 (2019): 1605. http://dx.doi.org/10.3390/rs11131605.

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Due to the cuboid satellite body of BeiDou-3 satellites, the accuracy of their orbit showed a trend of systematic variation with the sun-satellite-earth angle (ε) using the Extend CODE Orbit Model (ECOM1). Therefore, an a priori cuboid box-wing model (named the cuboid model) is necessary to compensate ECOM1. Considering that the body-dimensions and optical properties of the BeiDou-3 satellites used to construct the box-wing model have not yet been fully released, the adjustable box-wing model (ABW) was used for precise orbit determination (POD). The a priori cuboid box-wing model was directly
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Rofiki, Imam, Ahmad Choirul Anam, Putri Eka Sari, Wahyu Henky Irawan, and Ika Santia. "Students’ Mental Construction in Cube and Cuboid Concepts Based on Mathematical Ability Differences." Al-Jabar : Jurnal Pendidikan Matematika 11, no. 1 (2020): 133–44. http://dx.doi.org/10.24042/ajpm.v11i1.5946.

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Understanding of cube and cuboid concepts is one of the essential goals of solid geometry learning. Most studies of students’ understanding of these concepts have posited a gap between the students’ surface area and volume conceptions of its and students’ understanding. The study aims to describe the students’ mental constructions in APOS (Action, Process, Object, and Schema) theory framework. This study used analysis of students as subject to three junior high school students who have differences in mathematical abilities with a qualitative approach. Data were collected by the task sheet and
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Awan, Omer, and James Allen Graham. "The Rare Cuboid-Navicular Coalition Presenting as Chronic Foot Pain." Case Reports in Radiology 2015 (2015): 1–4. http://dx.doi.org/10.1155/2015/625285.

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Tarsal coalitions are relatively rare diagnoses affecting adolescent patients that typically present with progressive foot pain. Cuboid-navicular coalition, a type of tarsal coalition, is extremely rare with less than 10 reported cases to date. Most prevailing theories reported have described this specific type of coalition as asymptomatic except at specific moments of stress and exercise. The purpose in presenting this case is to demonstrate that cuboid-navicular coalition can be associated with chronic unremitting pain, as in our patient. We present a case of cuboid-navicular fibrocartilagin
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Pantoja-Benavides, Germán Fernando, and David Álvarez-Martínez. "A hybrid approach of simulation and metaheuristic for the polyhedra packing problem." International Journal of Industrial Engineering Computations 13, no. 1 (2022): 81–100. http://dx.doi.org/10.5267/j.ijiec.2021.7.003.

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This document presents a simulation-based method for the polyhedra packing problem (PPP). This problem refers to packing a set of irregular polyhedra (convex and concave) into a cuboid with the objective of minimizing the cuboid’s volume, considering non-overlapping and containment constraints. The PPP has applications in additive manufacturing and packing situations where volume is at a premium. The proposed approach uses Unity® as the simulation environment and considers nine intensification and two diversification movements. The intensification movements induce the items within the cuboid t
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Kagi, H., R. Lu, P. Davidson, A. F. Goncharov, H. K. Mao, and R. J. Hemley. "Evidence for ice VI as an inclusion in cuboid diamonds from high P-T near infrared spectroscopy." Mineralogical Magazine 64, no. 6 (2000): 1089–97. http://dx.doi.org/10.1180/002646100549904.

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AbstractNear infrared absorption (NIR) spectra of natural morphologically cubic polycrystalline diamonds (cuboid) were obtained at room temperature, and the stretching plus bending combination band of molecular water was observed. The spectrum consisted of the main band at 5180 cm-1 due to liquid water and a shoulder at 5000 cm-1. The 5000 cm-1 band suggests the presence of a phase with stronger hydrogen bonding in inclusions in the diamond. This shoulder absorption decreased on heating to 120°C. The combination band of H2O at high pressure and temperature was measured using a resistively heat
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Borrelli, Joseph, Sayan De, and Michael VanPelt. "Fracture of the Cuboid." Journal of the American Academy of Orthopaedic Surgeons 20, no. 7 (2012): 472–77. http://dx.doi.org/10.5435/jaaos-20-07-472.

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Jacobsen, F. Stig. "DISLOCATION OF THE CUBOID." Orthopedics 13, no. 12 (1990): 1387–89. http://dx.doi.org/10.3928/0147-7447-19901201-12.

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Blumberg, K., and R. J. Patterson. "The toddler's cuboid fracture." Radiology 179, no. 1 (1991): 93–94. http://dx.doi.org/10.1148/radiology.179.1.2006311.

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Prado, Marcelo Pires, Alberto Abussamara Moreira Mendes, Rogério Olivi, and Daniel Tassetto Amodio. "CUBOID-NAVICULAR TARSAL COALITION." Revista Brasileira de Ortopedia (English Edition) 45, no. 5 (2010): 497–99. http://dx.doi.org/10.1016/s2255-4971(15)30443-2.

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Toolan, Brian C. "Calcaneo-Cuboid Distraction Arthrodesis." Techniques in Orthopaedics 15, no. 3 (2000): 222–30. http://dx.doi.org/10.1097/00013611-200015030-00008.

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Lewson, Emily B., Michelle S. Emery Pulsifer, and Jason P. Mallette. "Cuboid sling: A novel surgical repair of cuboid syndrome and literature review." Foot & Ankle Surgery: Techniques, Reports & Cases 1, no. 4 (2021): 100108. http://dx.doi.org/10.1016/j.fastrc.2021.100108.

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Safitri, Gita, and Dadan Dasari. "Student’s obstacles in learning volume of cube and cuboid." Math Didactic: Jurnal Pendidikan Matematika 8, no. 2 (2022): 112–22. http://dx.doi.org/10.33654/math.v8i2.1844.

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The concept of volume is a significant concept taught from elementary school to high school level. However, many students still have difficulty in learning the concept of volume, especially the concept of the volume of a cube and a cuboid. This study aims to identify learning obstacles that occur in junior high school students related to the concept of volume of cubes and cuboid. This research method uses an interpretive paradigm which is part of the Didactical Design Research (DDR). Data analysis was obtained from a test consisting of five questions related to the volume of cubes and cuboid,
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Apriansyah, Muhammad Fahmi, Sukirwan Sukirwan, and Jaenudin Jaenudin. "Analisis Learning Obstacle pada Konsep Luas Permukaan Kubus dan Balok siswa Kelas VIII SMP Islam Pariskian." Media Pendidikan Matematika 11, no. 1 (2023): 70. http://dx.doi.org/10.33394/mpm.v11i1.8298.

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To achieve a mathematics learning goal, it is necessary to understand a mathematical concept to make it easier to determine a solution. However, in class learning there are still difficulties in achieving these learning objectives, especially area of surface cube and cuboid. One of the difficulties of students occurs because of the existence of learning obstacles for students known as Learning Obstacles. The research design in this study uses a qualitative method by identifying learning obstacles of area of surface cube and cuboid. Based on the results and discussion, there are findings of lea
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