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1

Zhan, Hao, and Yiming Ma. "Research on multi-beam survey line based on multi-dimensional structure analysis." Highlights in Science, Engineering and Technology 75 (December 28, 2023): 344–52. http://dx.doi.org/10.54097/rdh35z61.

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In this paper, study the optimization problem of multibeam sounding, firstly, simplify the working principle of multibeam sounding, establish the coordinate system with the horizontal plane and the center point of the sea area, and use trigonometry and triangle similarity to establish a model of the coverage width and overlap rate of multibeam sounding. The coverage width, seawater depth and overlap rate are obtained at different line spacing, and the seawater depth is about 64.763m and the coverage width is about 224.345m with an overlap rate of about 10.85% at a line spacing of 200m. Secondl
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2

anter, Emam. "Investigation of Blockage Upstream Box Coverage on the Scour Pattern in the Open Channel." International Journal of Engineering and Advanced Technology 11, no. 6 (2022): 53–59. http://dx.doi.org/10.35940/ijeat.f3693.0811622.

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Under sub-critical flow conditions, the presence of blockage (solid wastes and weeds) upstream of box coverage and the scours pattern downstream of the coverage was explored in this study. The upstream blocking was simulated using 48 runs in an artificial trapezoidal cross-section with three square box coverages of side dimensions 8.80, 10.40, and 12.90 cm, four water flows of 2, 5, 8, and 11 L/s, and four blockage ratios of 0, 10, 20, and 30% relative to the coverage cross-section area. To estimate the scour hole characteristics, a 2.00 m long, 0.60 m bed width, and 0.30 m deep sand basin fil
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3

Zhou, Qianyun. "A study of multibeam line measurement based on analytic geometry and genetic algorithm." Highlights in Science, Engineering and Technology 82 (January 26, 2024): 188–98. http://dx.doi.org/10.54097/dfkegx48.

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This paper focuses on the multibeam bathymetry technology for seabed terrain detection, and utilizes the geometric model, genetic algorithm to study the multibeam bathymetry line according to the actual situation of multibeam bathymetry coverage width, measurement length and overlap rate. Firstly, this paper uses the geometric analysis of the coverage width in relation to the slope angle and seawater depth , establishes the multibeam bathymetry coverage width and overlap rate model, and obtains the results of the coverage width and overlap rate in the specified cases by using python. Secondly,
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URBONIENĖ, Ramunė, Loreta KELPŠAITĖ, and Ingrida BORISENKO. "VEGETATION IMPACT ON THE DUNE STABILITY AND FORMATION ON THE LITHUANIAN COAST OF THE BALTIC SEA." JOURNAL OF ENVIRONMENTAL ENGINEERING AND LANDSCAPE MANAGEMENT 23, no. 3 (2015): 230–39. http://dx.doi.org/10.3846/16486897.2015.1009079.

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The aim of this study was to estimate vegetation coverage impact on the sandy beach and protective beach dune ridge (PBD) formation. Studies of the Lithuanian Baltic Sea coastal morphometric parameters and vegetation coverage projection were carried out from 1999 to 2011. In order to evaluate the dependence of the beach and the PBD morphometric parameters on the projection of vegetation coverage changes, correlation analyses were performed. A very strong link between vegetation projection coverage of the PBD top and beach width and incline of the eastern slope of PBD, and western slope vegetat
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LIU Li-guo, 刘立国, 丁亚林 DING Ya-lin, 赵运隆 ZHAO Yun-long, and 远国勤 YUAN Guo-qin. "Method of Improving Coverage Width of Aerial Camera." Chinese Journal of Liquid Crystals and Displays 27, no. 2 (2012): 240–44. http://dx.doi.org/10.3788/yjyxs20122702.0240.

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6

Zhang, Junmeng. "Research on Coverage Width Calculation and Analysis Based on Multibeam Bathymetric Model." Transactions on Computer Science and Intelligent Systems Research 7 (November 25, 2024): 541–47. https://doi.org/10.62051/bghegb61.

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As multibeam bathymetry is widely applied to the detection of complex terrain on the seafloor, how to optimize the coverage width and overlap rate by reasonably setting the measurement parameters has become a key issue in improving the accuracy and efficiency of the measurement. Starting from the actual situation, this study establishes a spatial geometric model based on the seabed topography. It combines the MATLAB programming tool to accurately calculate and analyze the coverage width of multibeam bathymetry and the overlap rate between neighboring strips under different circumstances. For e
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Rao, Yufan. "Research On Dynamic Optimization of Multi-Beam Bathymetry Based on Computational Geometry." Highlights in Science, Engineering and Technology 101 (May 20, 2024): 63–69. http://dx.doi.org/10.54097/fhyyrp92.

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The purpose of this study is to construct a mathematical model of the coverage width W and the overlap rate η between adjacent strips of multi-beam measurement by computational geometry method in the case of uniform slope of seabed topography, and to study the optimization of the channel line in the area to be measured. The purpose of this study is to construct a mathematical model of the coverage width W and the overlap rate η between adjacent strips of multi-beam measurement by computational geometry method in the case of uniform slope of seabed topography, and to study the optimization of t
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8

Agarwal, Mrinalini, and Deepa Dhruvakumar. "Coronally Repositioned Flap with Bioresorbable Collagen Membrane for Miller’s Class I and II Recession Defects: A Case Series." Medical Principles and Practice 28, no. 5 (2019): 477–80. http://dx.doi.org/10.1159/000500308.

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Objective: Gingival recession is one of the most common esthetic and functional concerns associated with periodontal tissues. Several techniques have been described to cover the exposed root surface. The aim of the present study was to evaluate the efficacy of recession coverage using a coronally repositioned flap in conjunction with a bioresorbable collagen membrane. Methods: Eight non-smoking healthy subjects with Miller’s Class I and II recession defects in the maxillary anterior region were selected. Recession was treated by a coronally repositioned flap along with a bioresorbable type I c
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9

Wang, Zhaoyu. "Research on the problem of multi-beam line measurement based on the cattle plowing traversal algorithm." Highlights in Science, Engineering and Technology 82 (January 26, 2024): 10–18. http://dx.doi.org/10.54097/wvx1t143.

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In order to study the depth and coverage width of sea water measured by the multi-beam detection system and the control of the overlap ratio range of the detection strip, the full coverage path optimization of the survey ship is carried out. In this paper, firstly, a model is established for the depth of the sea and the coverage width of the multi-beam detection system under the premise that the overlap rate is controlled within the range of 10%````~20% by using the property theorem of trigonometric function and geometric relation. Secondly, the Angle between the direction of the survey line a
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10

Weinberg, Evgeny, Roni Kolerman, Lazar Kats, et al. "Coronally Advanced Flap with Connective Tissue Graft for Treating Orthodontic-Associated Miller Class III Gingival Recession of the Lower Incisors: A One-Year Retrospective Study." Journal of Clinical Medicine 11, no. 1 (2022): 235. http://dx.doi.org/10.3390/jcm11010235.

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(1) Background: To assess the clinical outcome of coronally advanced flap combined with connective tissue graft for the treatment of orthodontic-associated Miller Class III gingival recession of the lower incisors. (2) Methods: This study included 15 patients who had undergone orthodontic treatment prior to development of recession. Measurements of recession depth, recession width, probing depth, and width of keratinized tissue were performed clinically immediately before surgery and after one year. In addition, digital measurements of recession depth, recession width, and root coverage esthet
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11

Dr., Emam A. Osman. "Investigation of Blockage Upstream Box Coverage on the Scour Pattern in the Open Channel." International Journal of Engineering and Advanced Technology (IJEAT) 11, no. 6 (2022): 53–60. https://doi.org/10.35940/ijeat.F3693.0811622.

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<strong>Abstract: </strong>Under sub-critical flow conditions, the presence of blockage (solid wastes and weeds) upstream of box coverage and the scours pattern downstream of the coverage was explored in this study. The upstream blocking was simulated using 48 runs in an artificial trapezoidal cross-section with three square box coverages of side dimensions 8.80, 10.40, and 12.90 cm, four water flows of 2, 5, 8, and 11 L/s, and four blockage ratios of 0, 10, 20, and 30% relative to the coverage cross-section area. To estimate the scour hole characteristics, a 2.00 m long, 0.60 m bed width, and
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12

Singhasomboon, Lapasrada, Wararit Panichkitkosolkul, and Andrei Volodin. "Confidence Intervals for the Ratio of Means of Two Independent Log-Normal Distributions." WSEAS TRANSACTIONS ON MATHEMATICS 20 (March 17, 2021): 45–52. http://dx.doi.org/10.37394/23206.2021.20.5.

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In this paper, we investigate confidence intervals for the ratio of means of two independent lognormal distributions. The normal approximation (NA) approach was proposed. We compared the proposed with another approaches, the ML, GCI, and MOVER. The performance of these approaches were evaluated in terms of coverage probabilities and interval widths. The Simulation studies and results showed that the GCI and MOVER approaches performed similar in terms of the coverage probability and interval width for all sample sizes. The ML and NA approaches provided the coverage probability close to nominal
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13

Zhao, Leyuan, Junru Yang, Hui Wang, and Yueyang Xu. "Research on multibeam bathymetric strategy based on sine theorem and equivalent slope angle." Highlights in Science, Engineering and Technology 82 (January 26, 2024): 380–89. http://dx.doi.org/10.54097/v4f9xj97.

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Multibeam bathymetry is widely used in the fields of water body bathymetry and terrain survey, and the survey line laying scheme is of key significance to improve the measurement accuracy and enhance the measurement efficiency. Therefore, it is of practical significance to increase the research on the survey line laying scheme for different water bodies and different terrains. In this paper, we firstly establish a single-slope multibeam bathymetry coverage width and overlap rate model based on the sine theorem in the case of constant line direction, and solve a set of analytical solutions for
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14

Singh, Rahul, Jonathan Fabula, Ketan Shende, and Ajay Sharda. "Spray Coverage and Droplet Size Uniformity of Pulse Width Modulation (PWM) Systems at Different Duty Cycles and Frequencies." Applied Engineering in Agriculture 41, no. 2 (2025): 119–24. https://doi.org/10.13031/aea.15970.

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HighlightsDeveloped a methodology to quantify the spray coverage and droplet size uniformity of the PWM system.Evaluated the PWM systems to quantify the spray coverage and droplet size uniformity at different combinations of frequency and cycle.Abstract. Correct operability and accurate spray coverage are essential to minimize off-target application and mitigate potential environmental and human health concerns in chemical applications. PWM control system can provide a uniform application pressure during operation to maintain the target application rate and droplet size. However, little knowle
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15

Sunil, Sathyanarayana, and MB Harsha. "Root Coverage using Double Papilla with Connective Tissue Graft: A 13-month Report of a Successful Case." Journal of Health Sciences & Research 8, no. 2 (2017): 77–79. http://dx.doi.org/10.5005/jp-journals-10042-1054.

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ABSTRACT Introduction Several techniques have been used to achieve root coverage and augment attached gingiva, including laterally positioned flaps, coronally positioned flaps, free gingival grafts, guided tissue regeneration, and connective tissue grafting. The decision of using a pedicle procedure or free tissue grafts is based on availability of the adjacent donor site and the width and depth of the defect site. Case report In this report, a young female patient reported with a deep and wide recession defect (Miller's class I) in the upper right central incisor with minimal keratinized ging
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16

Li, Hongning, Yuchen Li, Yilian Ran, Yinhe Wang, and Xinglin Lan. "Optimization model for multibeam sounding line deployment based on genetic algorithm." Theoretical and Natural Science 34, no. 1 (2024): 186–93. http://dx.doi.org/10.54254/2753-8818/34/20241182.

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Multibeam sounding technology is a cutting-edge method used for measuring underwater topography, widely applied across various fields. The actual seafloor terrain often exhibits significant fluctuations, leading to challenges such as insufficient coverage in shallow areas and excessive overlap in deep-water zones, resulting in inefficient operations. Rational selection of line spacing helps improve measurement efficiency and ensures data integrity. In this paper, taking the 2023 National College Student Mathematical Modeling Competition Problem B as a background, we conduct a thorough analysis
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17

Zhang, Jinwei, Yi Zou, Jun Cao, and Hao Zhang. "Study on Coverage Width and Overlap Rate Based on Multibeam Bathymetry Model." Mathematical Modeling and Algorithm Application 4, no. 1 (2025): 41–46. https://doi.org/10.54097/b28mmh05.

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Deep-water multibeam bathymetric systems can be used to detect seafloor topography and geomorphology in the whole ocean area, which is a manifestation of a country's comprehensive marine technology level and capability. In order to improve the measurement efficiency and quality, this paper studies the coverage width and overlap rate of multibeam bathymetry. A mathematical model based on the coverage width of multibeam bathymetry and the overlap rate of adjacent strips is established, and the coverage width and the overlap rate with the previous line when sailing in a straight line and sailing
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18

Cao, Qiong, Ruohuang Lu, Jun Chen, et al. "Treatment of Gingival Recession with Microinvasive Surgical Technology." Journal of Nanomaterials 2021 (April 26, 2021): 1–6. http://dx.doi.org/10.1155/2021/9972879.

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Objective. The purpose of this clinical research was to evaluate the result of microinvasive surgical technology: vestibular incision subperiosteal tunnel access (VISTA) and subepithelial connective tissue graft (SCTG) in multiple gingival recession. Methods. A total of 20 patients with 25 Miller I and 30 Miller III gingival recession teeth were treated with VISTA+SCTG. The data at baseline and 12 months were assessed: probing depth (PD), clinical attachment loss (CAL), gingival recession depth (RD), gingival recession width (RW), width of keratinized tissue (WKT), and gingival biotype (GB), a
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19

Su, Yan, Jiayuan Fu, Weiwei Lin, Chuan Lin, Xiaohe Lai, and Xiudong Xie. "Dam Deformation Monitoring Model Based on Deep Learning and Split Conformal Quantile Prediction." Applied Sciences 15, no. 4 (2025): 1960. https://doi.org/10.3390/app15041960.

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The construction of an interval prediction model capable of explaining deformation uncertainties is crucial for the long-term safe operation of dams. High effective coverage and narrow interval coverage widths are two key benchmarks to ensure that the prediction interval (PI) can accurately quantify deformation uncertainties. The vast majority of existing models neglect to control the interval coverage width, and overly wide PIs can cause decision confusion when operators are developing safety plans for hydraulic structures. To address this problem, this paper proposes a novel interval predict
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20

Chen, Xiaoya, and Xuanyu Chen. "Research on multi-beam survey line system based on dynamic programming algorithm." Applied and Computational Engineering 86, no. 1 (2024): 42–50. http://dx.doi.org/10.54254/2755-2721/86/20241507.

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This paper establishes a calculation model for the coverage width and overlap rate of a multi-beam survey line system [1], and optimizes the multi-beam bathymetric survey plan for marine areas. Through the dynamic programming algorithm, a reasonable survey line plan is designed based on the actual marine area depth. The research content includes: Model Establishment: Construct a calculation model for coverage width and overlap rate, determining the coverage width and overlap rate at each position. Three-Dimensional Space Model: Using the survey vessel as the origin and combining marine area in
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Xiong, Yifei, Xiya Hu, and Yahong Wang. "Multi-beam Line-finding Problem Based on Geometric Model." Highlights in Science, Engineering and Technology 82 (January 26, 2024): 205–14. http://dx.doi.org/10.54097/fv4gdd16.

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In this paper, a geometric model is established to study the problem of multi-beam sounding line deployment. In this paper, the index of multi-beam sounding is calculated firstly. The geometric model of the path of the acoustic signal transmitted by the measuring ship and the transducer of the measuring ship, the seabed slope and the plane perpendicular to the direction of the measuring line are established. The mathematical relationship between the coverage width W of multi-beam sounding and the overlap rate between adjacent strips is obtained, and the overlap rate between adjacent strips is
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22

Yu, Zhiyong, Liboyuan Lan, and Qian Li. "Optimization Research Based on a Multi-Beam Ranging System." Journal of Innovation and Development 10, no. 2 (2025): 27–29. https://doi.org/10.54097/tw7xxq46.

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This paper studies the deep-water multi-beam swath system, analyzing issues such as the coverage width of swaths and the overlap rate between adjacent swaths, and establishes appropriate mathematical models to address optimization problems in the field of marine depth sounding using multi-beam systems. Firstly, based on the knowledge of multi-beam depth sounding technology, a corresponding mathematical model is established. In the seafloor measurement system, data such as coverage width (), transducer opening angle (), water depth (), the distance between adjacent survey lines (), and overlap
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Wang, Tingting, Yanjing Sun, Zhao Xu, Wenyan Zhai, and Ran Zhuo. "Node Placement for Long Bounded Belt Complete 2-Coverage in Wireless Sensor Networks." Mathematical Problems in Engineering 2015 (2015): 1–13. http://dx.doi.org/10.1155/2015/672768.

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Based on Isosceles Triangle (Iso-Tri) placement and the extended Equalization Strip theory, we propose an Isosceles Trapezoid complete 2-coverage (Iso-TraC2) placement method for completely covering a long bounded belt area, which requires that any point within the belt is covered by at least two nodes. Coverage density and coverage efficiency are calculated to evaluate the degree of complete coverage, which can reflect the number of nodes needed and the degree of redundancy, respectively. The extreme ratio of sensing radius to belt width is deduced when the coverage density reaches the minima
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Xu, Xianghua, Chengwei Zhao, Tingcong Ye, and Tao Gu. "Minimum Cost Deployment of Bistatic Radar Sensor for Perimeter Barrier Coverage." Sensors 19, no. 2 (2019): 225. http://dx.doi.org/10.3390/s19020225.

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Perimeter barriers can provide intrusion detection for a closed area. It is efficient for practical applications, such as coastal shoreline monitoring and international boundary surveillance. Perimeter barrier coverage construction in some regions of interest with irregular boundaries can be represented by its minimum circumcircle and every point on the perimeter can be covered. This paper studies circle barrier coverage in Bistatic Radar Sensor Network (BRSN) which encircles a region of interest. To improve the coverage quality, it is required to construct a circle barrier with a predefined w
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Hou, Qiwen, Hang Zhang, and Guirong Xu. "Multi-beam line observation optimization strategy based on random variable unitary iterative model." Highlights in Science, Engineering and Technology 82 (January 26, 2024): 292–301. http://dx.doi.org/10.54097/63km2681.

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Multibeam system has many advantages such as large measurement range, fast speed, high accuracy, etc., which can be applied in many fields such as marine topographic survey. In this paper, the relationship between coverage width and other variables is obtained by analyzing the geometric relationship between each parameter, and a multibeam sounding model based on geometric relationship is established. And based on the intelligent optimization algorithm, an iterative optimization model with random variable singularization is designed independently. And the actual terrain data were visualized and
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Bai, Zhiwei, Xiaoxin Zhang, and Yuying Sun. "Mathematical Modelling and Optimisation in Multibeam Bathymetry: A Study of Coverage Width, Overlap Rate and Course Optimisation." Highlights in Science, Engineering and Technology 98 (May 16, 2024): 151–56. http://dx.doi.org/10.54097/2mdctz90.

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This paper focuses on the field of multibeam bathymetry, firstly, a two-dimensional mathematical model with coverage width, overlap rate, and seawater depth as the objectives is established by using the trigonometric properties, the terrain slope factor and the effect of different survey line distances from the centre on multibeam bathymetry. Matlab software was used to solve the model, and the expressions for the coverage width and the overlap rate of adjacent strips were obtained. Secondly, for the multibeam bathymetry along a certain direction, based on the three-dimensional geometric seawa
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Deutschmann, Nicolas, Marvin Alberts, and María Rodríguez Martínez. "Conformal Autoregressive Generation: Beam Search with Coverage Guarantees." Proceedings of the AAAI Conference on Artificial Intelligence 38, no. 10 (2024): 11775–83. http://dx.doi.org/10.1609/aaai.v38i10.29062.

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We introduce two new extensions to the beam search algorithm based on conformal predictions (CP) to produce sets of sequences with theoretical coverage guarantees. The first method is very simple and proposes dynamically-sized subsets of beam search results but, unlike typical CP proceedures, has an upper bound on the achievable guarantee depending on a post-hoc calibration measure. Our second algorithm introduces the conformal set prediction procedure as part of the decoding process, producing a variable beam width which adapts to the current uncertainty. While more complex, this procedure ca
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He, Li, Yuan, Li, and Shen. "Spatial–Spectral Fusion in Different Swath Widths by a Recurrent Expanding Residual Convolutional Neural Network." Remote Sensing 11, no. 19 (2019): 2203. http://dx.doi.org/10.3390/rs11192203.

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The quality of remotely sensed images is usually determined by their spatial resolution, spectral resolution, and coverage. However, due to limitations in the sensor hardware, the spectral resolution, spatial resolution, and swath width of the coverage are mutually constrained. Remote sensing image fusion aims at overcoming the different constraints of remote sensing images, to achieve the purpose of combining the useful information in the different images. However, the traditional spatial–spectral fusion approach is to use data in the same swath width that covers the same area and only consid
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Lee, Hojoo, Sungpeel Kim, and Jaehoon Choi. "A 28 GHz 5G Phased Array Antenna with Air-Hole Slots for Beam Width Enhancement." Applied Sciences 9, no. 20 (2019): 4204. http://dx.doi.org/10.3390/app9204204.

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In this paper, a 28 GHz fifth-generation (5G) phased array antenna with air-hole slots for beam width enhancement is proposed. The proposed antenna consists of eight dipole radiators on a mobile handset-sized ground with air-hole slots between the two adjacent elements for enhancing the half power beam width (HPBW) in the elevation plane. The dimensions of the proposed antenna are 130 mm × 42 mm × 0.127 mm. The proposed array antenna satisfies a −10 dB reflection coefficient in the frequency range from 27.2 to 29.2 GHz with a peak gain of 10.33 dBi and a side lobe level (SLL) of 13 dB. In addi
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Sumanta, Kumar Kundu, and Kumar Singhal Pramod. "Design of Slit Loaded Planar and Curved Patch Antenna." International Journal of Innovative Science and Modern Engineering (IJISME) 6, no. 1 (2019): 11–14. https://doi.org/10.35940/ijisme.A1139.086119.

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Slit loaded circularly polarized patch antenna embedded on planar structure and curvature structure were investigated. The curvature effect on slit loaded patch antenna determines the limiting value of radius of curvature to obtain circular polarization. At a certain radius of curvature (ROC) around 131.3 mm, circular polarization have been obtained with axial ratio band width around 15 MHz and return loss bandwidth around 56 MHz compared with 17 MHz and 65 MHz as that of planar structure. The beam width responsible for coverage of planar patch are 104 and 107 degree with respect to 84 degree
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Xu, Rui, Mengwen Sun, and Qing Lv. "Research on the design of multibeam bathymetric survey line based on geometric derivation." Transactions on Computer Science and Intelligent Systems Research 5 (August 12, 2024): 1459–69. http://dx.doi.org/10.62051/zqc4k665.

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Based on the working principle of multibeam bathymetric system, this paper establishes a multibeam line design optimization model and coverage width geometric model by establishing a spatial right-angled coordinate system, dichotomy method, moving surface method and other methods. A two-dimensional geometric model of the coverage width and the overlap rate of adjacent strips is established in the two-dimensional plane. Then, based on the geometric model, the relationship equations of seawater depth at the centre of different lines are obtained by triangulation, and then the sine equations of s
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Serry, Yasmin, Marwa Hegab, Khaled Keraa, and Ahmed El Barbary. "Platelet-Rich Fibrin Versus Connective Tissue Graft Using Vestibular Incision Subperiosteal Tunnel Access (VISTA) Technique in Multiple Gingival Recessions: Randomized Controlled Trial." Perio J 6, no. 1 (2022): 12–25. http://dx.doi.org/10.26810/perioj.2022.a2.

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Background: One of the most common esthetic concerns in dentistry is gingival recession (GR), and despite the various treatment strategies for root coverage, multiple recessions still present a great challenge, especially Miller Class III/RT2. Thus, this study aimed to compare the effect of platelet-rich fibrin (PRF) versus connective tissue graft (CTG) using vestibular incision subperiosteal tunnel access (VISTA) in patients with Miller class III/RT2 multiple recessions for root coverage. Methods: Twenty-eight patients with multiple Class III/RT2 gingival recessions were randomly allocated to
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Yearwood, Thomas L. "Pulse Width Programming in Spinal Cord Stimulation: A Clinical Study." Pain Physician 4;13, no. 4;7 (2010): 321–35. http://dx.doi.org/10.36076/ppj.2010/13/321.

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Background: With advances in spinal cord stimulation (SCS) technology, particularly rechargeable implantable, patients are now being offered a wider range of parameters to treat their pain. In particular, pulse width (PW) programming ranges of rechargeable implantable pulse generators now match that of radiofrequency systems (with programmability up to 1000µs). The intent of the present study was to investigate the effects of varying PW in SCS. Objective: To understand the effects of PW programming in spinal cord stimulation (SCS). Design: Single-center, prospective, randomized, single-blind e
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Legendre, Dominique, Ryan Becker, Elise Alméras, and Amélie Chassagne. "Air tanker drop patterns." International Journal of Wildland Fire 23, no. 2 (2014): 272. http://dx.doi.org/10.1071/wf13029.

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Ground patterns of liquid aerial drops for combating wildfires are considered. Based on a significant number of drop tests performed using different airplanes and helicopters, a simple model for the length, the width and the coverage distribution is presented. At first order both the length and the width of the drop pattern can be described using simple relations despite the significant difference between the conditions of the drop tests considered. These relations include factors that can be manipulated during aircraft and release system design, as well as during aerial firefighting operation
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Wang, Haili, Yongzeng Yang, Changming Dong, Tianyun Su, Baonan Sun, and Bin Zou. "Validation of an Improved Statistical Theory for Sea Surface Whitecap Coverage Using Satellite Remote Sensing Data." Sensors 18, no. 10 (2018): 3306. http://dx.doi.org/10.3390/s18103306.

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The whitecap coverage at the sea surface is affected by the ratio of kinetic energy to potential energy, θ, the wave spectrum width parameter, ρ, and other factors. This paper validates an improved statistical theory for surface whitecap coverage. Based on the theoretical analysis, we find that the whitecap coverage is more sensitive to ρ than to θ, and the improved statistical theory for surface whitecap coverage is suitable in regions of rough winds and waves. The satellite-derived whitecap coverage data in the westerly wind zone is used to validate the improved theory. The comparison betwee
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Ma, Yuetong, Yanlin Li, and Bohui Yang. "Research On Multi-Beam Line Measurement Design Based on Genetic Algorithm." Highlights in Science, Engineering and Technology 101 (May 20, 2024): 126–33. http://dx.doi.org/10.54097/7axgf016.

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This paper aims to measure the seabed depth using a multibeam survey line scheme and analyze its performance in a real sea area. The multibeam depth measurement system can send and receive multiple sound waves in a plane perpendicular to the survey line, achieving high accuracy, resolution and efficiency. This paper builds a mathematical model, using geometric analysis, vector algebra, iteration, traversal and other methods, to determine the multibeam depth measurement coverage width model, and find the variable relationship of survey line length, spacing, overlap rate, slope, etc. Using a rec
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Wang, Xinshu, Xiang Li, and Qijia Liu. "Research on Multibeam Bathymetry Coverage Width and Overlap Rate Based on Geometric Models." Highlights in Science, Engineering and Technology 105 (June 30, 2024): 126–34. http://dx.doi.org/10.54097/07101m64.

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Due to its efficient and accurate seabed mapping capabilities, multi-beam bathymetry systems are widely used in marine research and resource development and have become a hot spot in marine scientific research. In this study, the sine theorem, geometric relationship, and recursive relationship are used to construct the calculation model of coverage width and overlap rate of multi-beam bathymetry, and the influence of seabed slope is considered. Under the condition of varying slopes, further research is carried out, and the elliptical chord length is formed by using the conic section to solve t
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Dusiyorov, J.J., S.G'. Botirov, and A.M. O'ngboyev. "PARAMETERS OF THE OPENING ANGLE OF THE WINGED BLADES IN THE FERTILIZATION SYSTEM OF A CHISEL-CULTIVATOR." Multidisciplinary Journal of Science and Technology 5, no. 5 (2025): 594–98. https://doi.org/10.5281/zenodo.15411852.

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Due to ongoing climate change, the demand for water in agriculture is increasing annually, while water scarcity becomes more pronounced. Therefore, every drop of water must be efficiently conserved. Mineral nutrients are applied to improve the reclamation status of saline and gypsiferous soils before leaching them. However, these nutrients often do not reach the root layer of plants. To address this issue, we conducted a study to determine the optimal opening angle of the winged blades in the fertilizer system of a chisel-cultivator.
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Reino, Danilo M., Arthur B. Novaes Jr, Luciana P. Maia, et al. "Treatment of gingival recessions in heavy smokers using two surgical techniques: a controlled clinical trial." Brazilian Dental Journal 23, no. 1 (2012): 59–67. http://dx.doi.org/10.1590/s0103-64402012000100011.

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Smokers have small root coverage which is associated with bad vascularity of periodontal tissues. This study evaluated a technique that can increase the blood supply to the periodontal tissues compared with a traditional technique. Twenty heavy smokers (10 males and 10 females) with two bilateral Miller class I gingival recessions received coronally positioned flaps in one side (Control group)and extended flap technique in the other side (Test group). Clinical measurements (probing pocket depth, clinical attachment level, bleeding on probing, gingival recession height, gingival recession width
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40

Dasgupta, Amites, Rahul Roy, and Anish Sarkar. "Geometry of the Poisson Boolean model on a region of logarithmic width in the plane." Advances in Applied Probability 43, no. 3 (2011): 616–35. http://dx.doi.org/10.1239/aap/1316792662.

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Consider the region L = {(x, y): 0 ≤ y ≤ Clog(1 + x), x &gt; 0} for a constant C &gt; 0. We study the percolation and coverage properties of this region. For the coverage properties, we place a Poisson point process of intensity λ on the entire half space R+ x R and associated with each Poisson point we place a box of a random side length ρ. Depending on the tail behaviour of the random variable ρ we exhibit a phase transition in the intensity for the eventual coverage of the region L. For the percolation properties, we place a Poisson point process of intensity λ on the region R2. At each poi
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Staszewska-Bystrova, Anna. "Refined Bonferroni prediction bands for autoregressive models." Przegląd Statystyczny 65, no. 2 (2019): 155–72. http://dx.doi.org/10.5604/01.3001.0014.0532.

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Joint prediction bands are often constructed using Bonferroni’s inequality. The drawback of such bands may be their large width and excessive coverage probability. The paper proposes two refinements to the basic Bonferroni method of constructing bootstrap prediction bands. These are based on higher order inequalities and optimization of the width of the band. The procedures are applied to the problem of predicting univariate autoregressive processes. Their properties are studied by means of Monte Carlo experiments. It is shown that the proposed methods lead, in many scenarios, to obtaining rel
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Xia, Xiaolong, Jianhao Wang, Dong Huang, and Zhouyou Zhou. "Modeling Research and Analysis of Multibeam Bathymetric Systems." Journal of Computing and Electronic Information Management 11, no. 3 (2023): 1–5. http://dx.doi.org/10.54097/jceim.v11i3.01.

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This paper conducted research on the application of multi beam measurement system for underwater detection. Firstly, a mathematical model was established and determined for the coverage width of multi beam bathymetry and the overlap rate between adjacent bands; Secondly, based on the rectangular sea area to be measured, a mathematical model for the coverage width of multi beam bathymetry was established. Finally, in order to meet the requirement of 10% to 20% overlap between adjacent bands, a set of survey lines with the shortest measurement length and capable of fully covering the entire sea
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Górski, Bartłomiej, and Renata Górska. "Evaluation of prognostic factors affecting root coverage in patients before planned orthodontic treatment." Forum Ortodontyczne 14, no. 4 (2018): 257–69. http://dx.doi.org/10.5604/01.3001.0012.9862.

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During orthodontic dental arch expansion, especially in cases of teeth with gingival recessions, further loss of soft tissues and progression of recession might be observed. &lt;b&gt;Aim.&lt;/b&gt; The aim of this study was to evaluate determinants of root coverage, increase in the width of keratinised tissue and gingival thickness after soft tissue augmentation procedures in patients before planned orthodontic treatment. &lt;b&gt;Material and methods.&lt;/b&gt; 16 patients with the mean age of 28.18 (±6.58) years with 122 type I and II gingival recessions were enrolled in the study. Total, 32
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Li, Mingkai, Haokun He, and Jiyang Liu. "Research on the Multibeam Bathymetry Problem in Uneven Seabeds Based on Computational Geometry." Highlights in Science, Engineering and Technology 82 (January 26, 2024): 134–46. http://dx.doi.org/10.54097/fhj6sd62.

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The principle of the multibeam seabed bathymetry system involves emitting dozens to hundreds of beams at once in a plane perpendicular to the course, and then receiving the acoustic waves returned by the seabed through the receiving transducer. This paper will study through computational geometry how to calculate information such as seabed depth, survey line coverage width, and the overlap rate between survey lines based on the received information in uneven seabed areas. This study first discusses the special case where the survey line is parallel to the contour line, defining coverage width
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Mahajan, Ajay, and Kanwarjit Singh Asi. "Comparison of Effectiveness of the Novel Periosteal Pedicle Graft Technique with Coronally Advanced Flap for the Treatment of Long‐Span Unesthetic Multiple Gingival Recession Defects." Clinical Advances in Periodontics 8, no. 2 (2018): 77–83. http://dx.doi.org/10.1002/cap.10015.

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IntroductionMultiple gingival recession defects (MGRD) are considered a complex clinical scenario; therefore, recent scientific evidence suggests the need for further clinical research for treating MGRD. While coronally advanced flap (CAF) is an established procedure for the effective management of MGRD, its success is limited in terms of long‐term stability. The periosteal pedicle graft (PPG) has been drawing considerable attention as a treatment modality for managing gingival recession defects (GRD) owing to its immense regenerative potential and has shown promising results.Case SeriesThirty
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Suhaeni, Cici, I. Made Sumertajaya, and Anik Djuraidah. "KAJIAN SIMULASI PENDUGAAN SELANG KEPERCAYAAN BOOTSTRAP BAGI ARAH MEDIAN DATA SIRKULAR." Indonesian Journal of Statistics and Its Applications 2, no. 1 (2018): 35–45. http://dx.doi.org/10.29244/ijsa.v2i1.64.

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The median direction is one of central tendency of circular data. The estimation process usually requires information about sampling distribution of statistic that want to be used as a parameter estimate. Theoretically, sampling distribution derived from population distribution. But, it is not easy to get sampling distribution of median although the population distribution is known. When the sampling distribution cannot be derived easily from population distribution, the bootstrap method can be an alternative to handle it. This study wants to evaluate the effect of increasing concentration par
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Li, Hai-Peng, Da-Zheng Feng, Shao-Feng Chen, and Ya-Peng Zhou. "Deployment Optimization Method of Multistatic Radar for Constructing Circular Barrier Coverage." Sensors 21, no. 19 (2021): 6573. http://dx.doi.org/10.3390/s21196573.

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To construct circular barrier coverage (CBC) with multistatic radars, a deployment optimization method based on equipartition strategy is proposed in this paper. In the method, the whole circular area is divided into several sub-circles with equal width, and each sub-circle is blanketed by a sub-CBC that is built based on the multistatic radar deployment patterns. To determine the optimal deployment patterns for each sub-CBC, the optimization conditions are firstly studied. Then, to optimize the deployment of the whole circular area, a model based on minimum deployment cost is proposed, and th
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48

Dasgupta, Amites, Rahul Roy, and Anish Sarkar. "Geometry of the Poisson Boolean model on a region of logarithmic width in the plane." Advances in Applied Probability 43, no. 03 (2011): 616–35. http://dx.doi.org/10.1017/s0001867800005061.

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Consider the region L = {(x, y): 0 ≤ y ≤ Clog(1 + x), x &amp;gt; 0} for a constant C &amp;gt; 0. We study the percolation and coverage properties of this region. For the coverage properties, we place a Poisson point process of intensity λ on the entire half space R + x R and associated with each Poisson point we place a box of a random side length ρ. Depending on the tail behaviour of the random variable ρ we exhibit a phase transition in the intensity for the eventual coverage of the region L. For the percolation properties, we place a Poisson point process of intensity λ on the region R 2. A
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49

Xue, Yuqing, and Chang-Xing Ma. "Interval estimation of proportion ratios for stratified bilateral correlated binary data." Statistical Methods in Medical Research 29, no. 7 (2019): 1987–2014. http://dx.doi.org/10.1177/0962280219882043.

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Confidence interval (CI) methods for the ratio of two proportions in the presence of correlated bilateral binary data are constructed for comparative clinical trials with stratified design. Simulations are conducted to evaluate the performance of the presented CIs with respect to mean coverage probability (MCP), mean interval width (MIW), and the ratio of mesial non-coverage probability to the distal non-coverage probability (RMNCP). Based on the empirical results, we suggest the use of the proposed CI method based on the complete score statistics (CS) for general applications. An example from
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Rana, Sweta Rajya Laxmi, Surendra Man Shrestha, and Ameena Pradhan. "Comparison of Coronally Advanced Flap with Semilunar Coronally Repositioned Flap with Sutures for the Treatment of Gingival Recession." Medical Journal of Shree Birendra Hospital 14, no. 2 (2016): 15–21. http://dx.doi.org/10.3126/mjsbh.v14i2.13559.

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Introduction: The surgical correction of shallow gingival recession by coronally advanced flap (CAF) and its variant semilunar coronally repositioned flap (SLF) offers the advantage of a single surgical site, less patient discomfort and predictable root coverage with good colour match. This study aims to compare and evaluate the predictability and reliability of the two types of flaps.Methods: In 20 Miller’s Class I recession defects, 10 sites each were treated with either SLF or CAF. Recession height, recession width, clinical attachment loss, width of keratinized gingiva, Plaque Index and Gi
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