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Journal articles on the topic 'Decomposition of discrete curves into discrete primitives'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 June 2024

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1

Wülker, Christian, Sipu Ruan, and Gregory S. Chirikjian. "Quantizing Euclidean Motions via Double-Coset Decomposition." Research 2019 (September 15, 2019): 1–16. http://dx.doi.org/10.34133/2019/1608396.

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Concepts from mathematical crystallography and group theory are used here to quantize the group of rigid-body motions, resulting in a “motion alphabet” with which robot motion primitives are expressed. From these primitives it is possible to develop a dictionary of physical actions. Equipped with an alphabet of the sort developed here, intelligent actions of robots in the world can be approximated with finite sequences of characters, thereby forming the foundation of a language in which robot motion is articulated. In particular, we use the discrete handedness-preserving symmetries of macromol
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Colomé, Adrià, and Carme Torras. "A topological extension of movement primitives for curvature modulation and sampling of robot motion." Autonomous Robots 45, no. 5 (2021): 725–35. http://dx.doi.org/10.1007/s10514-021-09976-7.

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AbstractThis paper proposes to enrich robot motion data with trajectory curvature information. To do so, we use an approximate implementation of a topological feature named writhe, which measures the curling of a closed curve around itself, and its analog feature for two closed curves, namely the linking number. Despite these features have been established for closed curves, their definition allows for a discrete calculation that is well-defined for non-closed curves and can thus provide information about how much a robot trajectory is curling around a line in space. Such lines can be predefin
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Zhou, Xiaohui. "Wavelet transform on regression trend curve and its application in financial data." International Journal of Wavelets, Multiresolution and Information Processing 18, no. 05 (2020): 2050040. http://dx.doi.org/10.1142/s021969132050040x.

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In this paper, wavelet transform on a regression curve is investigated by using length-preserving projection and its application in financial data is also discussed. First, properties of wavelet filters on the regression trend curves are studied and two-scale equation of wavelet function is deduced on the regression trend curves. Second, the decomposition and reconstruction algorithm of discrete wavelet transform on regression trend curves is derived. Finally, two examples in financial data are given for discussion, based on decomposition and reconstruction algorithms on regression trend curve
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WANG, BAOQIN, GANG WANG, and XIAOHUI ZHOU. "CONSTRUCTION OF THE MULTI-WAVELETS ON SOME SMOOTH PLANE CURVES VIA LENGTH-PRESERVING PROJECTION." International Journal of Wavelets, Multiresolution and Information Processing 12, no. 01 (2013): 1450005. http://dx.doi.org/10.1142/s0219691314500052.

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Based on the theory of the discrete multi-wavelets in the space L2(R), the theory of the discrete multi-wavelets in the space L2(C) is presented properly in this paper, where C denotes a smooth plane curve. Firstly, the length-preserving projection is constructed, and by the length-preserving projection, the multiplicity multi-resolution analysis in the space L2(C) is defined properly and we define the dilation operator and translation operator in the space L2(C). Then, the two-scale refinement equations of multi-scaling function and multi-wavelet in the space L2(C) is deduced by using length-
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Toiviainen, Petri, and Emily Carlson. "Embodied Meter Revisited." Music Perception 39, no. 3 (2022): 249–67. http://dx.doi.org/10.1525/mp.2022.39.3.249.

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Previous research has shown that humans tend to embody musical meter at multiple beat levels during spontaneous dance. This work that been based on identifying typical periodic movement patterns, or eigenmovements, and has relied on time-domain analyses. The current study: 1) presents a novel method of using time-frequency analysis in conjunction with group-level tensor decomposition; 2) compares its results to time-domain analysis, and 3) investigates how the amplitude of eigenmovements depends on musical content and genre. Data comprised three-dimensional motion capture of 72 participants’ s
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Praveen, I., K. Rajeev, and M. Sethumadhavan. "An Authenticated Key Agreement Scheme using Vector Decomposition." Defence Science Journal 66, no. 6 (2016): 594. http://dx.doi.org/10.14429/dsj.66.10799.

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Encryption using vector decomposition problem (VDP) on higher dimensional vector spaces is a novel method in cryptography. Yoshida has shown that the VDP on a two-dimensional vector space is at least as hard as the computational Diffie-Hellman problem on a one-dimensional subspace under certain conditions. Steven Galbraith has shown that for certain curves, the VDP is at most as hard as the discrete logarithm problem on a one-dimensional subspace. Okomoto and Takashima proposed encryption scheme and signature schemes using VDP. An authenticated key agreement scheme using vector decomposition p
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Zhou, Rui, Jiangtao Han, Zhenyu Guo, and Tonglin Li. "De-Noising of Magnetotelluric Signals by Discrete Wavelet Transform and SVD Decomposition." Remote Sensing 13, no. 23 (2021): 4932. http://dx.doi.org/10.3390/rs13234932.

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Magnetotelluric (MT) sounding data can easily be damaged by various types of noise, especially in industrial areas, where the quality of measured data is poor. Most traditional de-noising methods are ineffective to the low signal-to-noise ratio of data. To solve the above problem, we propose the use of a de-noising method for the detection of noise in MT data based on discrete wavelet transform and singular value decomposition (SVD), with multiscale dispersion entropy and phase space reconstruction carried out for pretreatment. No “over processing” takes place in the proposed method. Compared
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Tepavitcharova, Stefka, Antonina Kovacheva, and Christo Balarew. "Crystallization and Thermal Behavior of 2MX·CuX2·2H2O (M+ = K, NH4, Rb, Cs; X- = Cl, Br)." Solid State Phenomena 194 (November 2012): 222–25. http://dx.doi.org/10.4028/www.scientific.net/ssp.194.222.

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The crystallization in the MX – CuX2 – H2O system (M+ = K, NH4, Rb, Cs; X- = Cl, Br) was studied and 2MX.CuX2.2H2O was found to be the predominant type of double salts. All of them are isostructural (tetragonal crystal system, sp. gr. P42/mnm) and the structure consists of discrete [Me(H2O)2X4] octahedra and separate M+ ions. The thermal behavior of 2MX.CuX2.2H2O was studied in the range 20-780°C. Ammonium salts showed analogous behavior but higher thermal stability (up to 100-120°C) than the other salts (up to 50-60°C). The first step of 2MX.CuX2.2H2O decomposition was dehydration to anhydrou
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Yang, Zeren, Sha Liu, Congshan Zhuo, and Chengwen Zhong. "Free-Energy-Based Discrete Unified Gas Kinetic Scheme for van der Waals Fluid." Entropy 24, no. 9 (2022): 1202. http://dx.doi.org/10.3390/e24091202.

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The multiphase model based on free-energy theory has been experiencing long-term prosperity for its solid foundation and succinct implementation. To identify the main hindrance to developing a free-energy-based discrete unified gas-kinetic scheme (DUGKS), we introduced the classical lattice Boltzmann free-energy model into the DUGKS implemented with different flux reconstruction schemes. It is found that the force imbalance amplified by the reconstruction errors prevents the direct application of the free-energy model to the DUGKS. By coupling the well-balanced free-energy model with the DUGKS
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Stanimirova, Ts, N. Piperov, N. Petrova, and G. Kirov. "Thermal evolution of Mg-Al-CO3 hydrotalcites." Clay Minerals 39, no. 2 (2004): 177–91. http://dx.doi.org/10.1180/0009855043920129.

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AbstractThe thermal decomposition of hydrotalcite (HT), with chemical composition Mg1-xAlx(OH)2(CO3)x/2.(1-3x/2)H2O, (0.20 < x ≤ 0.33), is a complex sequence of dehydration, dehydroxylation and decarbonization and leads to the formation of a series of metaphases: HT-D (dehydrated HT), HT-B (partially dehydroxylated HT) and MO (mixed oxides with periclase-like structure). The evolution of water and CO2 in natural and synthetic hydrotalcites (a Mg/Al ratio between 2:1and 3.7:1), heated to 800°C, was investigated by differential thermal analysis, thermogravimetry and evolved gas analysis. At l
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Hong, Zhiwu, Linlin Niu, and Gengming Zeng. "US and Chinese yield curve responses to RMB exchange rate policy shocks." China Finance Review International 9, no. 3 (2019): 360–85. http://dx.doi.org/10.1108/cfri-12-2017-0239.

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Purpose Using a discrete-time version of the arbitrage-free Nelson–Siegel (AFNS) term structure model, the authors examine how yield curves in the US and China react to exchange rate policy shocks as China introduces gradual reforms to make its exchange rate regime more flexible. The paper aims to discuss this issue. Design/methodology/approach The authors characterize the specification of the discrete-time AFNS model, prove the uniqueness of the solution for model identification, perform specification analysis on its canonical form and detail the MCMC estimation method with a fast and reliabl
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Ma, Qian, Lian Liu, Fu Sheng Li, and Yan Chun Zhao. "Using Iterative Discrete Wavelet Transform to Improve Trace Element Analysis by XRF Spectrometer." Advances in Science and Technology 105 (April 2021): 79–89. http://dx.doi.org/10.4028/www.scientific.net/ast.105.79.

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X-ray fluorescence (XRF) spectrometry has certain difficulties of detecting trace amount material components accurately when measuring material samples composed of variable elements, mainly due to low Signal to Noise Ratio (SNR) issues of the characteristic spectroscopic peaks from the measurement. In this paper, a novel method called background noise reduction using Iterative Discrete Wavelet Transform (IDWT) methodology for trace element material analysis by advanced X-ray fluorescence spectrometer is proposed to improve SNR, thereby decreasing the Limit of Detection (LOD) for elemental qual
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Álvarez-Vizoso, J., Robert Arn, Michael Kirby, Chris Peterson, and Bruce Draper. "Geometry of curves in Rn from the local singular value decomposition." Linear Algebra and its Applications 571 (June 2019): 180–202. http://dx.doi.org/10.1016/j.laa.2019.02.006.

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Shang, Han Lin. "DYNAMIC PRINCIPAL COMPONENT REGRESSION: APPLICATION TO AGE-SPECIFIC MORTALITY FORECASTING." ASTIN Bulletin 49, no. 03 (2019): 619–45. http://dx.doi.org/10.1017/asb.2019.20.

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AbstractIn areas of application, including actuarial science and demography, it is increasingly common to consider a time series of curves; an example of this is age-specific mortality rates observed over a period of years. Given that age can be treated as a discrete or continuous variable, a dimension reduction technique, such as principal component analysis (PCA), is often implemented. However, in the presence of moderate-to-strong temporal dependence, static PCA commonly used for analyzing independent and identically distributed data may not be adequate. As an alternative, we consider a dyn
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15

Xu, Jingran, Shaoming Hu, Xu Chen, Yunguo Jiang, and Sofya Alexeeva. "A Small-scale Structure Model of a Jet Based on Observations of Microvariability." Astrophysical Journal Supplement Series 268, no. 2 (2023): 54. http://dx.doi.org/10.3847/1538-4365/aceda8.

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Abstract We developed a multiregion radiation model for the evolution of flux and spectral index with time. In this model, each perturbation component in the jet produces an independent flare. The model can be used to study the decomposition of microvariability, the structural scale of the perturbed components, and the physical parameters of the acceleration processes. Based on the shock acceleration model for a relativistic jet, the influence of the acceleration parameters on multiband flare parameters is calculated. We present the results of multiband optical microvariability of the blazar B
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Maria, Papadogiorgaki, Mezaris Vasileios, Chatzizisis Yiannis S, Giannoglou George D, and Kompatsiaris Ioannis. "Texture Analysis and Radial Basis Function Approximation for IVUS Image Segmentation." Open Biomedical Engineering Journal 1, no. 1 (2007): 53–59. http://dx.doi.org/10.2174/1874120700701010053.

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>Intravascular ultrasound (IVUS) has become in the last years an important tool in both clinical and research applications. The detection of lumen and media-adventitia borders in IVUS images represents a first necessary step in the utilization of the IVUS data for the 3D reconstruction of human coronary arteries and the reliable quantitative assessment of the atherosclerotic lesions. To serve this goal, a fully automated technique for the detection of lumen and media-adventitia boundaries has been developed. This comprises two different steps for contour initialization, one for each corresp
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17

Yang, T., and C. Lin. "Estimation of Distributed Unbalance of Rotors." Journal of Engineering for Gas Turbines and Power 124, no. 4 (2002): 976–83. http://dx.doi.org/10.1115/1.1479336.

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Mass unbalance commonly causes vibration of rotor-bearing systems. Lumped mass modeling of unbalance was adapted in most previous research. The lumped unbalance assumption is adequate for thin disks or impellers, but not for thick disks or shafts. Lee et al. (Lee, A. C., et al., 1993, “The Analysis of Linear Rotor-Bearing Systems: A General Transfer Matrix Method,” ASME J. Vib. Acoust., 115, pp. 490–497) proposed that the unbalance of shafts should be continuously distributed. Balancing methods based on discrete unbalance models may not be very appropriate for rotors with distributed unbalance
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18

Hristov, Jordan. "Response functions in linear viscoelastic constitutive equations and related fractional operators." Mathematical Modelling of Natural Phenomena 14, no. 3 (2019): 305. http://dx.doi.org/10.1051/mmnp/2018067.

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This study addresses the stress–strain relaxation functions of solid polymers in the framework of the linear viscoelasticity with aim to establish the adequate fractional operators emerging from the hereditary integrals. The analysis encompasses power-law and non-power-law materials, thus allowing to see the origins of application of the tools of the classical fractional calculus with singular memory kernels and the ideas leading towards fractional operators with non-singular (regular) kernels. A step ahead in modelling with hereditary integrals is the decomposition of non-power-law relaxation
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19

Li, Feng, and Hui Zhao. "3D Real Scene Data Collection of Cultural Relics and Historical Sites Based on Digital Image Processing." Computational Intelligence and Neuroscience 2022 (July 21, 2022): 1–12. http://dx.doi.org/10.1155/2022/9471720.

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Traditional digital geometry mainly focuses on local geometric features such as curvature and normal of 3D models. Although the curvature can describe the geometric curvature of the model surface, these local geometric properties cannot describe the global functional structure and associated properties of the 3D model. The purpose of this paper was to study the accurate splicing of cultural relic fragments based on the intrinsic structural features of the 3D model, such as geometry, texture, and function, whose method is the key to realizing the virtual reconstruction of damaged cultural relic
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Al Khawli, Toufik, Hamza Bendemra, Muddasar Anwar, Dewald Swart, and Jorge Dias. "Introducing data analytics to the robotic drilling process." Industrial Robot: An International Journal 45, no. 3 (2018): 371–78. http://dx.doi.org/10.1108/ir-01-2018-0018.

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PurposeThis paper presents a method for extracting the geometric primitives of a circle in a three-dimensional space from a discrete point cloud data set obtained by a laser stripe sensor. This paper aims to first establish a reference frame for the robotic drilling process by detecting the position and orientation of a reference hole on structural parts in a pre-drilling step, and second, to perform quality inspection of the hole in a post-drilling step.Design/methodology/approachThe method is divided into the following steps: a plane is initially fitted on the data by evaluating the principl
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Hu, Linjing, Jiachen Wang, Zhaoze Guo, and Tengda Zheng. "Load Forecasting Based on LVMD-DBFCM Load Curve Clustering and the CNN-IVIA-BLSTM Model." Applied Sciences 13, no. 12 (2023): 7332. http://dx.doi.org/10.3390/app13127332.

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Power load forecasting plays an important role in power systems, and the accuracy of load forecasting is of vital importance to power system planning as well as economic efficiency. Power load data are nonsmooth, nonlinear time-series and “noisy” data. Traditional load forecasting has low accuracy and curves not fitting the load variation. It is not well predicted by a single forecasting model. In this paper, we propose a novel model based on the combination of data mining and deep learning to improve the prediction accuracy. First, data preprocessing is performed. Second, identification and c
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Sutter, Mitchell L. "Shapes and Level Tolerances of Frequency Tuning Curves in Primary Auditory Cortex: Quantitative Measures and Population Codes." Journal of Neurophysiology 84, no. 2 (2000): 1012–25. http://dx.doi.org/10.1152/jn.2000.84.2.1012.

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The shape and level tolerance of the excitatory frequency/intensity tuning curves (eFTCs) of 160 cat primary auditory cortical (A1) neurons were investigated. Overall, A1 cells were characterized by tremendous variety in eFTC shapes and symmetries; eFTCs were U-shaped (∼20%), V-shaped (∼20%), lower-tail-upper-sharp (∼15%), upper-tail-lower-sharp (<2%), slant-lower (∼10%), slant-upper (<3%), multipeaked (∼10%), and circumscribed (∼20%). Quantitative analysis suggests that eFTC are best thought of as forming a continuum of shapes, rather than falling into discrete categories. A1 eFTCs tend
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Daly, Donnacha, and Didier Sornette. "The Altes Family of Log-Periodic Chirplets and the Hyperbolic Chirplet Transform." Symmetry 13, no. 10 (2021): 1922. http://dx.doi.org/10.3390/sym13101922.

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This work revisits a class of biomimetically inspired waveforms introduced by R.A. Altes in the 1970s for use in sonar detection. Similar to the chirps used for echolocation by bats and dolphins, these waveforms are log-periodic oscillations, windowed by a smooth decaying envelope. Log-periodicity is associated with the deep symmetry of discrete scale invariance in physical systems. Furthermore, there is a close connection between such chirping techniques, and other useful applications such as wavelet decomposition for multi-resolution analysis. Motivated to uncover additional properties, we p
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Bresolin, Fabio, Luca Rizzi, I.-Ting Ho, et al. "Internal kinematics of giant H ii regions in M101 with the Keck Cosmic Web Imager." Monthly Notices of the Royal Astronomical Society 495, no. 4 (2020): 4347–65. http://dx.doi.org/10.1093/mnras/staa1472.

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ABSTRACT We study the kinematics of the giant H ii regions NGC 5455 and NGC 5471 located in the galaxy M101, using integral field observations that include the H β and [O iii]$\, \lambda$ 5007 emission lines, obtained with the Keck Cosmic Web Imager. We analyse the line profiles using both single and multiple Gaussian curves, gathering evidence for the presence of several expanding shells and moving filaments. The line decomposition shows that a broad (σ ≃ 30–50 km s−1) underlying component is ubiquitous, extending across hundreds of pc, while a large fraction of the narrow components have sub
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Wang, Deqing, Zhangqi Zhong, Kaixu Bai, and Lingyun He. "Spatial and Temporal Variabilities of PM2.5 Concentrations in China Using Functional Data Analysis." Sustainability 11, no. 6 (2019): 1620. http://dx.doi.org/10.3390/su11061620.

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As air pollution characterized by fine particulate matter has become one of the most serious environmental issues in China, a critical understanding of the behavior of major pollutant is increasingly becoming very important for air pollution prevention and control. The main concern of this study is, within the framework of functional data analysis, to compare the fluctuation patterns of PM2.5 concentration between provinces from 1998 to 2016 in China, both spatially and temporally. By converting these discrete PM2.5 concentration values into a smoothing curve with a roughness penalty, the cont
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Nalewajko, Krzysztof, Alok C. Gupta, Mai Liao, Krzysztof Hryniewicz, Maitrayee Gupta, and Minfeng Gu. "Long-term optical spectroscopic variations in blazar 3C 454.3." Astronomy & Astrophysics 631 (October 11, 2019): A4. http://dx.doi.org/10.1051/0004-6361/201935904.

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Aims. Characterisation of the long-term variations in the broad line region in a luminous blazar, where Comptonisation of broad-line emission within a relativistic jet is the standard scenario for production of γ-ray emission that dominates the spectral energy distribution. Methods. We analysed ten years of optical spectroscopic data from the Steward Observatory for the blazar 3C 454.3, as well as γ-ray data from the Fermi Large Area Telescope (LAT). The optical spectra are dominated by a highly variable non-thermal synchrotron continuum with a prominent Mg II broad emission line. The line flu
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Singh, R., L. Xu, and A. Gretton. "Kernel Methods for Causal Functions: Dose, Heterogeneous, and Incremental Response Curves." Biometrika, July 5, 2023. http://dx.doi.org/10.1093/biomet/asad042.

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Summary We propose estimators based on kernel ridge regression for nonparametric causal functions such as dose, heterogeneous and incremental response curves. The treatment and covariates may be discrete or continuous in general spaces. Due to a decomposition property specific to the reproducing kernel Hilbert space, our estimators have simple closed form solutions. We prove uniform consistency with finite sample rates via an original analysis of generalized kernel ridge regression. We extend our main results to counterfactual distributions and to causal functions identified by front and back
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Çoker, D., S. Özdemir, C. Yeşilyaprak, S. K. Yerli, N. Aksaker, and B. B. Güçsav. "A Study on W Ursae Majoris-Type Systems Recognised by the ROTSE-IIId Experiment." Publications of the Astronomical Society of Australia 30 (2013). http://dx.doi.org/10.1017/pasa.2012.013.

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AbstractWe present a study on characterising the light curves of W UMa-type systems gathered from the archive containing 5 years of data observed with the Robotic Optical Transient Search Experiment Telescope (ROTSE-IIId) located in Turkey. A sample of 45 W UMa-type systems was studied on the basis of Fourier decomposition of light curves and some basic geometrical parameters, namely degree of contact (f), mass ratio (q), and orbital inclination (i), as approximated values for these systems were determined. Moreover, methods based on the Fourier transform technique were applied to the discrete
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Baker, Nicholas, and Philip J. Kellman. "Shape from dots: a window into abstraction processes in visual perception." Frontiers in Computer Science 6 (May 16, 2024). http://dx.doi.org/10.3389/fcomp.2024.1367534.

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IntroductionA remarkable phenomenon in perception is that the visual system spontaneously organizes sets of discrete elements into abstract shape representations. We studied perceptual performance with dot displays to discover what spatial relationships support shape perception.MethodsIn Experiment 1, we tested conditions that lead dot arrays to be perceived as smooth contours vs. having vertices. We found that the perception of a smooth contour vs. a vertex was influenced by spatial relations between dots beyond the three points that define the angle of the point in question. However, there a
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Colmez, Pierre, Gabriel Dospinescu, and Wiesława Nizioł. "Factorisation de la cohomologie étale p-adique de la tour de Drinfeld." Forum of Mathematics, Pi 11 (2023). http://dx.doi.org/10.1017/fmp.2023.15.

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Résumé For a finite extension F of ${\mathbf Q}_p$ , Drinfeld defined a tower of coverings of (the Drinfeld half-plane). For $F = {\mathbf Q}_p$ , we describe a decomposition of the p-adic geometric étale cohomology of this tower analogous to Emerton’s decomposition of completed cohomology of the tower of modular curves. A crucial ingredient is a finiteness theorem for the arithmetic étale cohomology modulo p whose proof uses Scholze’s functor, global ingredients, and a computation of nearby cycles which makes it possible to prove that this cohomology has finite presentation. This last result
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Laqua, FC, M. Polacin, C. Luecke, et al. "Value of cardiac magnetic resonance imaging derived spectral myocardial strain pattern for non-invasive diagnosis of myocarditis." European Heart Journal - Cardiovascular Imaging 22, Supplement_2 (2021). http://dx.doi.org/10.1093/ehjci/jeab090.045.

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Abstract Funding Acknowledgements Type of funding sources: Public grant(s) – EU funding. Main funding source(s): European Society of Radiology European Institute for Biomedical Imaging Research Background Traditionally, cardiac function is quantified by measures of peak excursion, for example ejection fraction. However, myocardial strain estimation from cine- cardiac MRI allows quantification of cardiac motion over the whole heart cycle. We propose a spectral decomposition of the strain curves applying Discrete Fourier transformation (DFT). Purpose To evaluate a potential additive diagnostic v
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Gachet, Cécile, Hsueh-Yung Lin, and Long Wang. "Nef cones of fiber products and an application to the cone conjecture." Forum of Mathematics, Sigma 12 (2024). http://dx.doi.org/10.1017/fms.2024.22.

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Abstract We prove a decomposition theorem for the nef cone of smooth fiber products over curves, subject to the necessary condition that their Néron–Severi space decomposes. We apply it to describe the nef cone of so-called Schoen varieties, which are the higher-dimensional analogues of the Calabi–Yau threefolds constructed by Schoen. Schoen varieties give rise to Calabi–Yau pairs, and in each dimension at least three, there exist Schoen varieties with nonpolyhedral nef cone. We prove the Kawamata–Morrison–Totaro cone conjecture for the nef cones of Schoen varieties, which generalizes the work
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Miyazaki, Seiichi, Taku Shibaguchi, and Mitsuhisa Ikeda. "Characterization of Electronic Charged States of Silicon Nanocrystals as a Floating Gate in MOS Structures." MRS Proceedings 830 (2004). http://dx.doi.org/10.1557/proc-830-d5.9.

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ABSTRACTWe have studied capacitance-voltage (C-V) and displacement current-voltage characteristics of MOS capacitors with Si nanocrystals embedded in the gate oxide as a floating gate in dark and under visible light illumination at room temperature to gain a better understanding of discrete charged states of the Si-dots floating gate. The Si-dots floating gate with a dot density of 2.8×1011cm-2 and an average dot size of 8nm was fabricated on ∼2.8nm-thick thermally-grown SiO2 as a tunnel oxide by the thermal decomposition of SiH4, and covered with 7.5nm-thick control oxide prepared by thermal
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Wang, Bei, Yi Ouyang, Songsong Li, and Honggang Hu. "A new twofold Cornacchia-type algorithm and its applications." Advances in Mathematics of Communications, 2021, 0. http://dx.doi.org/10.3934/amc.2021026.

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<p style='text-indent:20px;'>We focus on exploring more potential of Longa and Sica's algorithm (ASIACRYPT 2012), which is an elaborate iterated Cornacchia algorithm that can compute short bases for 4-GLV decompositions. The algorithm consists of two sub-algorithms, the first one in the ring of integers <inline-formula><tex-math id="M1">\begin{document}$ \mathbb{Z} $\end{document}</tex-math></inline-formula> and the second one in the Gaussian integer ring <inline-formula><tex-math id="M2">\begin{document}$ \mathbb{Z}[i] $\end{document}</tex-math>
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"An Enhanced K-Means Clustering Based on K- SVD_DWT Algorithm for Image Segmentation." International Journal of Innovative Technology and Exploring Engineering 8, no. 11S (2019): 634–40. http://dx.doi.org/10.35940/ijitee.k1106.09811s19.

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The complete nature of the image geared by various processes but image segmentation plays vital role. For object illustration, image analysis, visualization and image processing task the image is segmented into useful information by image segmentation. The image is segmented with respect to the opted scenario by image segmentation. The image measurements like texture, color and depth are considered by the segmentation. The plant disease can be spotted and classified in the field of agriculture and image segmentation is essential in image processing. Based on the morphological characteristics o
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Cluckers, Raf, Immanuel Halupczok, Silvain Rideau-Kikuchi, and Floris Vermeulen. "Hensel minimality II: Mixed characteristic and a diophantine application." Forum of Mathematics, Sigma 11 (2023). http://dx.doi.org/10.1017/fms.2023.91.

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Abstract In this paper, together with the preceding Part I [10], we develop a framework for tame geometry on Henselian valued fields of characteristic zero, called Hensel minimality. It adds to [10] the treatment of the mixed characteristic case. Hensel minimality is inspired by o-minimality and its role in real geometry and diophantine applications. We develop geometric results and applications for Hensel minimal structures that were previously known only under stronger or less axiomatic assumptions, and which often have counterparts in o-minimal structures. We prove a Jacobian property, a st
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37

MILLER, JASON, SCOTT SHEFFIELD, and WENDELIN WERNER. "CLE PERCOLATIONS." Forum of Mathematics, Pi 5 (2017). http://dx.doi.org/10.1017/fmp.2017.5.

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Conformal loop ensembles (CLEs) are random collections of loops in a simply connected domain, whose laws are characterized by a natural conformal invariance property. The set of points not surrounded by any loop is a canonical random connected fractal set — a random and conformally invariant analog of the Sierpinski carpet or gasket.In the present paper, we derive a direct relationship between the CLEs with simple loops ($\text{CLE}_{\unicode[STIX]{x1D705}}$ for $\unicode[STIX]{x1D705}\in (8/3,4)$, whose loops are Schramm’s $\text{SLE}_{\unicode[STIX]{x1D705}}$-type curves) and the correspondi
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