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Journal articles on the topic 'ARL Curve'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Annapurna, N., Dr P. Mohammed Akhtar, Dr G. Venkatesulu, and Dr S. Dhanunjaya. "The Continuous Acceptance Sampling of Truncated Frechet Distribution Based on CUSUM Schemes." International Journal for Research in Applied Science and Engineering Technology 10, no. 4 (2022): 3261–67. http://dx.doi.org/10.22214/ijraset.2022.42058.

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Abstract: Acceptance sampling plans were evaluated to draw valid conclusions regarding lots of finished products. Based on the assumption that the variable under consideration is distributed according to a Frechet distribution, CASP-CUSUM schemes are presented here for optimizing Type-C OC curves and ARLs. The Truncated Frechet distribution, its Type-C OC curve values, and ARL values at different shapes parameters were determined under this assumption. Finally, we determined an optimal CASP-CUSUM scheme that maximizes PA. Keywords: CASP – CUSUM Schemes, Type-C OC curves, ARL Values, Truncated

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Peerajit, Wilasinee. "Approximating the ARL of Changes in the Mean of a Seasonal Time Series Model with Exponential White Noise Running on a CUSUM Control Chart." WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL 18 (November 15, 2023): 370–81. http://dx.doi.org/10.37394/23203.2023.18.39.

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Control charts comprise an excellent statistical process control tool for monitoring industrial processes. Especially, the CUSUM control chart is very sensitive to small-to-moderate process parameter changes. The proposed approach utilizes the numerical integral equation (NIE) method to approximate the average run length (ARL) of changes in the mean of a seasonal time series model with underlying exponential white noise running on a CUSUM control chart. This was achieved by solving a system of linear equations and integration through partitioning and summation using the area under the curve of

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3

Peerajit, Wilasinee. "A Novel Numerical Integration Equation Approach using the Gauss-Legendre Quadrature to Approximate the Average Run Length of Time-Series Model Running on a CUSUM Control Chart." WSEAS TRANSACTIONS ON SYSTEMS 24 (May 9, 2025): 345–58. https://doi.org/10.37394/23202.2025.24.30.

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Herein, we present the comprehensive validation of an approximation of the average run length (ARL) for monitoring small-to-moderate changes in the process means of long-memory fractionally integrated moving average with exogenous variables (LFIMAX) processes with different types of long memory on a cumulative sum (CUSUM) control chart based on the numerical integration equation (NIE) method. The ARL approximation using the NIE method was obtained by resolving a system of linear equations and performing integration through the partitioning and summing of the area under the curve of a function

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4

Börner, Nikolaus, Markus B. Schoenberg, Benedikt Pöllmann, et al. "Deep Learning-Adjusted Monitoring of In-Hospital Mortality after Liver Transplantation." Journal of Clinical Medicine 13, no. 20 (2024): 6046. http://dx.doi.org/10.3390/jcm13206046.

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Background: Surgeries represent a mainstay of medical care globally. Patterns of complications are frequently recognized late and place a considerable burden on health care systems. The aim was to develop and test the first deep learning-adjusted CUSUM program (DL-CUSUM) to predict and monitor in-hospital mortality in real time after liver transplantation. Methods: Data from 1066 individuals with 66,092 preoperatively available data point variables from 2004 to 2019 were included. DL-CUSUM is an application to predict in-hospital mortality. The area under the curve for risk adjustment with Mod

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Kalpesh, S. Tailor. "SAMPLE STANDARD DEVIATION(s) CHART UNDER THE ASSUMPTION OF MODERATENESS AND ITS PERFORMANCE ANALYSIS." International Journal of Research - Granthaalayah 5, no. 6 (2017): 368–77. https://doi.org/10.5281/zenodo.821537.

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Moderate distribution proposed by Naik V.D and Desai J.M., is a sound alternative of normal distribution, which has mean and mean deviation as pivotal parameters and which has properties similar to normal distribution. Mean deviation (δ) is a very good alternative of standard deviation (σ) as mean deviation is considered to be the most intuitively and rationally defined measure of dispersion. This fact can be very useful in the field of quality control to construct the control limits of the control charts. On the basis of this fact Naik V.D. and Tailor K.S. have proposed 3δ control limits. In

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Martin, John M., and Philip J. Ihrig. "Quantitation of Metals in Liquid Samples by Computer Intelligent Flow Injection Inductively Coupled Plasma Emission Spectrometry." Applied Spectroscopy 41, no. 6 (1987): 986–93. http://dx.doi.org/10.1366/0003702874447969.

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With the advent of commercial flow injection equipment, the means became available for the automated computer intelligent sample handling for ICP analysis. This paper will describe our system, which consists of a 36-channel ARL 34000 ICP spectrometer and a FIAtron SHS-300 flow injection instrument. The functions that the system will perform include (1) automatic analysis of undiluted samples with sample introduction by flow injection, (2) automatic operator-selectable fixed dilution and analysis of samples, (3) automatic analysis of samples using computer-guided sequential dilutions to place a

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Tailor, Kalpesh S. "SAMPLE STANDARD DEVIATION(s) CHART UNDER THE ASSUMPTION OF MODERATENESS AND ITS PERFORMANCE ANALYSIS." International Journal of Research -GRANTHAALAYAH 5, no. 6 (2017): 368–77. http://dx.doi.org/10.29121/granthaalayah.v5.i6.2017.2045.

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Moderate distribution proposed by Naik V.D and Desai J.M., is a sound alternative of normal distribution, which has mean and mean deviation as pivotal parameters and which has properties similar to normal distribution. Mean deviation (δ) is a very good alternative of standard deviation (σ) as mean deviation is considered to be the most intuitively and rationally defined measure of dispersion. This fact can be very useful in the field of quality control to construct the control limits of the control charts. On the basis of this fact Naik V.D. and Tailor K.S. have proposed 3δ control limits. In

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Haber, R. S., T. A. Pressley, J. N. Loeb, and F. Ismail-Beigi. "Ionic dependence of active Na-K transport: "clamping" of cellular Na+ with monensin." American Journal of Physiology-Renal Physiology 253, no. 1 (1987): F26—F33. http://dx.doi.org/10.1152/ajprenal.1987.253.1.f26.

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The Na+ ionophore monensin was used to study the Na+- and K+-dependence of ouabain-inhibitable 86Rb+ uptake in ARL 15 cells, a rat liver cell line. Graded concentrations of monensin rapidly induced incremental elevations of cellular Na+ that were stable for up to 2 h. In experiments in which cellular Na+ was thus “clamped” at various levels, the activation curve for ouabain-inhibitable 86Rb+ uptake as a function of intracellular Na+ was found to be steepest near basal Na+ levels (Hill coefficient approximately equal to 2.4), indicating that these cells can respond to relatively large changes i

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9

Artykbaev, A., and M. M. Toshmatova. "Geometric approach to define a railway plan model." BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS 115, no. 3 (2024): 26–33. http://dx.doi.org/10.31489/2024m3/26-33.

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The construction of new railway lines is based on the railway plan. There are various ways to draw up a railway plan. The basis of all railway plans is a scheme of geometric point locations, the projection of the center of gravity of the carriage is on a horizontal plane and consists of a single flat line. The railway plan consists of linear and curved parts connecting straight sections. However, the curves determining the position of the rails of the railway track in the curved part will be spatial. To extinguish the centrifugal forcearising in the curved part of the road, an external rail ri

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10

DIMCA, ALEXANDRU, and GABRIEL STICLARU. "Chebyshev curves, free resolutions and rational curve arrangements." Mathematical Proceedings of the Cambridge Philosophical Society 153, no. 3 (2012): 385–97. http://dx.doi.org/10.1017/s0305004112000138.

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AbstractFirst we construct a free resolution for the Milnor (or Jacobian) algebra M(f) of a complex projective Chebyshev plane curve d : f = 0 of degree d. In particular, this resolution implies that the dimensions of the graded components M(f)k are constant for k ≥ 2d − 3.Then we show that the Milnor algebra of a nodal plane curve C has such a behaviour if and only if all the irreducible components of C are rational.For the Chebyshev curves, all of these components are in addition smooth, hence they are lines or conics and explicit factorizations are given in this case.

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11

De Hoog, F. R., and R. S. Anderssen. "Simple and Accurate Formulas for Flow-Curve Recovery from Couette Rheometer Data." Applied Rheology 16, no. 6 (2006): 321–28. http://dx.doi.org/10.1515/arh-2006-0022.

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Abstract In Couette rheometry, most of the current flow-curve recovery algorithms require the explicit numerical differentiation of the measured angular velocity data. The exceptions and popular choices, because it avoids the need for a numerical differentiation, are the parallel plate approximation (cf. Bird et al. [1], Table 10.2-1) and the simplest of the formulas given in Krieger and Elrod [2]. However, their applicability is limited to narrow gap rheometer data. In this paper, equally simple formulas are presented which are exact for Newtonian fluids, do not involve a numerical differenti

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Yu, Yan Nan, Ming-Li Li, Yu-Yuan Xu, et al. "Middle cerebral artery geometric features are associated with plaque distribution and stroke." Neurology 91, no. 19 (2018): e1760-e1769. http://dx.doi.org/10.1212/wnl.0000000000006468.

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ObjectiveWe aimed to investigate the geometric features of the middle cerebral artery (MCA) and their relevance to plaque distribution and ischemic stroke.MethodsWe reviewed our institutional vessel wall imaging database. Patients with symptomatic MCA atherosclerosis, asymptomatic MCA atherosclerosis, or without MCA atherosclerosis were included. The MCA geometric features, including M1 segment shape and M1 curve orientation, were defined on magnetic resonance angiography. Plaque distribution and other plaque parameters were identified on vessel wall imaging. The association among MCA geometri

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13

Nesvidomin, A. V. "Generalized method for forming plane isotropic curves." Energy and Automation, no. 4 (September 23, 2020): 109–15. http://dx.doi.org/10.31548/energiya2020.04.109.

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The process of modeling the temperature distribution on surfaces, applying an image to curved areas with minimal distortion requires the formation of isometric grids on the plane and on the surface. One of the common ways to form planar isometric networks is to use the functions of a complex variable and planar isotropic curves, followed by separation of the real and imaginary parts. The development of computer models for the interactive search and analysis of isometric networks according to various initial geometric conditions provides a generalized method for their formation with the possibi

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14

Daging, I. Ketut, Basino, Hendro Sukismo, Iwan G. Wardana, and Juniawan Preston Siahaan. "Fatigue Failure Analysis of Shaft in As-developed Wind Turbine with Reinforced-welding Elbow." Journal of Physics: Conference Series 2344, no. 1 (2022): 012008. http://dx.doi.org/10.1088/1742-6596/2344/1/012008.

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Abstract This paper reports the fatigue analysis for a failure of a shaft in a wind turbine in which reinforced-welding elbow to support the shaft load. The shaft was broken near the reinforcing elbow. When designing mechanical and structural components, the diameter and the characteristics of materials have been considered not to exceed the permissible limit. However, after 40 days of the cycle operation, the shaft was broken at the accepted loading conditions within reasonable limits at a wind speed of 6-10 m/s. The crack initiate fatigue in the shaft is influenced by many variables that may

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15

Maekawa, Takashi, and Felix Scholz. "All you need is rotation: Construction of developable strips." ACM Transactions on Graphics 43, no. 6 (2024): 1–15. http://dx.doi.org/10.1145/3687947.

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We present a novel approach to generate developable strips along a space curve. The key idea of the new method is to use the rotation angle between the Frenet frame of the input space curve, and its Darboux frame of the curve on the resulting developable strip as a free design parameter, thereby revolving the strip around the tangential axis of the input space curve. This angle is not restricted to be constant but it can be any differentiable function defined on the curve, thereby creating a large design space of developable strips that share a common directrix curve. The range of possibilitie

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16

Afeef, Mohammad, and Shreya Bhattacharyya. "CAR-T cell: an epitome for the cure of hematologic malignancies." European Journal of Biological Research 12, no. 2 (2022): 114–40. https://doi.org/10.5281/zenodo.6512287.

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There is an increasing reliance on modern cancer therapies on immunotherapeutic approaches such as immune checkpoint inhibitors and adoptive cell therapy (ACT), which includes tumor-infiltrating lymphocytes (TILs), T cell receptor (TCR)-modified T cells, and chimeric antigen receptor (CAR). CAR-T cell therapy provides a unique approach to redirect T cells against distinct tumor antigens. It has generated widespread interest in oncology following several clinical successes in patients suffering from chemorefractory B cell malignancies. Since CAR-T cell therapy is a novel treatment, it does not

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17

Camcı, Çetin. "Constructing $k$-Slant Curves in Three Dimensional Euclidean Spaces." Journal of New Theory, no. 50 (March 28, 2025): 98–115. https://doi.org/10.53570/jnt.1647509.

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Helices and constant procession curves are special examples of slant curves. However, there is no example of a $k$-slant curve for a positive integer $k\geq 2$ in three dimensional Euclidean spaces. Furthermore, the position vector of a $k$-slant curve for a positive integer $k\geq 2$ has not been known thus far. In this paper, we propose a method for constructing $k$-slant curves in three dimensional Euclidean spaces. We then show that spherical $k$-slant curves and $N_{k}$-constant procession curves can be derived from circles, for $k \in \mathbb{N}$, the set of all nonnegative integers. In

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18

Jianu, Marilena, Sever Achimescu, Leonard Dăuş, Adela Mihai, Olimpia-Alice Roman, and Daniel Tudor. "Characterization of Rectifying Curves by Their Involutes and Evolutes." Mathematics 9, no. 23 (2021): 3077. http://dx.doi.org/10.3390/math9233077.

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A rectifying curve is a twisted curve with the property that all of its rectifying planes pass through a fixed point. If this point is the origin of the Cartesian coordinate system, then the position vector of the rectifying curve always lies in the rectifying plane. A remarkable property of these curves is that the ratio between torsion and curvature is a nonconstant linear function of the arc-length parameter. In this paper, we give a new characterization of rectifying curves, namely, we prove that a curve is a rectifying curve if and only if it has a spherical involute. Consequently, rectif

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19

Awang, Noorehan, Fatin Najihah Ghazali, and Siti Sarah Zainuddin. "Redesign Arabic Calligraphy Outline by using Bezier, Wang-Ball and Said-Ball Curves." Mathematical Sciences and Informatics Journal 3, no. 1 (2022): 100–110. http://dx.doi.org/10.24191/mij.v3i1.18303.

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In the history of the revitalization of traditional art in the modern world, Arabic calligraphy was one of the art phenomena. This research suggests using Bezier curves, Wang Ball curves, and Said-Ball curves to improve Arabic calligraphy. Our goal in calligraphy is to achieve a smooth beautifying contour of a character. The calligraphy outline, which was largely Arabic, was frequently applied in Bezier curve degrees two and three. As a result, the degree elevation for each curve was increased until it reached degree four, allowing for greater Bezier curve study. This paper presents the compar

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20

Roberts, G. P., H. A. Barnes, and C. Mackie. "Using the Microsoft Excel ‘Solver’ Tool to Perform Non-Linear Curve Fitting, Using a Range of Non-Newtonian Flow Curves as Examples." Applied Rheology 11, no. 5 (2001): 271–76. http://dx.doi.org/10.1515/arh-2001-0016.

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Abstract The Microsoft Excel ‘Solver’ tool is a very simple but powerful procedure, even in the hands of the mathematically disadvantaged. It has very good application for quickly fitting experimental flow-curve data to non-Newtonian flow models with any number of parameters, and can cope with data from a number of sources. Examples are given for a range of industrially important examples ranging from standard non-Newtonian liquids, through detergent solutions to gels, pastes, and filled polymer melts, often measured on different viscometers.

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Farnsworth, David L. "Axes for symmetric convex curves." Mathematical Gazette 102, no. 553 (2018): 23–30. http://dx.doi.org/10.1017/mag.2018.4.

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Curves are given in polar coordinates (r, θ)by equations of the form r = f (θ), where for f (θ) > 0 all θ. Consider curves which are symmetric about the origin O, so that, f(θ + π) = f (θ) for all θ. For such a curve, its interior is the set {(r, θ) : 0 ≤ r ≤ f (θ)}. Further, assume that the curve is convex. Recall that a closed curve is convex if a line segment between any two of its points has no points exterior to the curve [1], [2, pp. 198-203]. We call these curves M-curves, because the curves are fundamental objects in Minkowski geometry, where they are called Minkowski circles or sim

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Zheng, Xuelian, Lijuan Yu, Yuanyuan Ren, Xiansheng Li, Biao Liang, and Jianfeng Xi. "Modeling of Tank Vehicle Rollover Risk Assessment on Curved–Slope Combination Sections for Sustainable Transportation Safety." Sustainability 17, no. 3 (2025): 906. https://doi.org/10.3390/su17030906.

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Tank vehicles are highly prone to rollover accidents, especially on curved–slope combination sections, which can cause hazardous chemical spills, endangering the environment, public safety, and human health. Therefore, it is crucial to conduct research aimed at reducing the risk of such incidents. Method: The rollover risk of tank vehicles under various loading conditions while traveling on curved–slope combination sections was investigated using driver–vehicle–road dynamics simulation. A multiple linear regression model was then developed to further quantify the impact of key factors on the r

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Tran, Thai Hoa, and Stephen P. Hunger. "ABL-class fusion positive acute lymphoblastic leukemia: can targeting ABL cure ALL?" Haematologica 105, no. 7 (2020): 1754–57. http://dx.doi.org/10.3324/haematol.2020.252916.

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24

ROSS, CHIP, MEREDITH ODELL, and SARAH CREMER. "THE SHADOW-CURVES OF THE ORBIT DIAGRAM PERMEATE THE BIFURCATION DIAGRAM, TOO." International Journal of Bifurcation and Chaos 19, no. 09 (2009): 3017–31. http://dx.doi.org/10.1142/s0218127409024621.

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The "Q-curves [Formula: see text] have long been observed and studied as the shadowy curves which appear illusively — not explicitly drawn — in the familiar orbit diagram of Myrberg's map fc(x) = x2 + c. We illustrate that Q-curves also appear implicitly, for a different reason, in a computer-drawn bifurcation diagram of x2 + c as well — by "bifurcation diagram" we mean the collection of all periodic points of fc (attracting, indifferent and repelling) — these collections form what we call "P-curves". We show Q-curves and P-curves intersect in one of two ways: At a superattracting periodic poi

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Malkin, A. Ya, I. Masalova, D. Pavlovski, and P. Slatter. "Is the Choice of Flow Curve Fitting Equation Crucial for the Estimation of Pumping Characteristics?" Applied Rheology 14, no. 2 (2004): 89–95. http://dx.doi.org/10.1515/arh-2004-0005.

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Abstract The answer to this provocative question is “no”! This is demonstrated by experiment and analysis for two very different materials – a highly concentrated emulsion and an 8%v/v Kaolin clay suspension. The flow curves of both materials clearly showed a low shear Newtonian asymptote and a pseudoplastic domain. The difference in the accuracy of the fitting equations relates mainly to the low shear rate domain. While the Cross equation is adequate over the full flow curve, the power law and the Herschel-Bulkley equations are clearly inadequate for the low shear rate range. These equations

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Rao, T. Ramakrishna. "A Curve for all reasons." Resonance 5, no. 4 (2000): 85–90. http://dx.doi.org/10.1007/bf02837909.

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Zhang, Xiao Feng, Bin Lin, and Shi Huan Chen. "Numerical Simulation of Temperature Distribution during Ceramic Sintering." Applied Mechanics and Materials 10-12 (December 2007): 331–35. http://dx.doi.org/10.4028/www.scientific.net/amm.10-12.331.

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In this paper, the temperature distribution is analyzed during ceramic sintering process and the temperature difference variation is compared under the linear sintering curves with different slopes. Then the changes of temperature difference curve are analyzed under both linear sintering curves and step sintering curves with different slopes. The results indicate that: there are overlap area and platform area in all the temperature difference curves; all the temperature difference curve change from overlap area to platform area; the max temperature difference can not be reduced effectively by

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Wang, Li. "Parametric Design and Motion Simulation of Disc Cam Profile Curve Based on the UG NX." Advanced Materials Research 753-755 (August 2013): 1423–26. http://dx.doi.org/10.4028/www.scientific.net/amr.753-755.1423.

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This paper presents a parametric design method of the cam profile curve with UG NX, created the cam curves with law of the curve command, conducted curve continuity analysis with Curve Continuity Analysis command, and the results show that all adjacent curves are tangent continuous. This ensures the design accuracy. The velocity curve and the displacement curve were got through the cam motion simulation, and the motion analysis is consistent with the results of theoretical design. Expressions were changed, and the motion analysis show that the parametric design of the cam contour is reasonable

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Korotkii, V. A. "COMPOSITE GEOMETRICALLY SMOOTH CUBIC HERMITE CURVES IN SPACE AND ON THE PLANE." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 214 (April 2022): 20–32. http://dx.doi.org/10.14489/vkit.2022.04.pp.020-032.

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The article considers constructive algorithms for creating compound curves using parametric cubic equations. The possibilities of modern computer technology and systems of computer mathematics make it possible to implement algorithms of graph analytics using fractional rational parametric equations of the fifth, seventh and higher orders. The article considers a constructive algorithm for creating a compound cubic curve passing through given points with direction vectors specified in these points. Direction vectors can be used for monitoring the shape of a constructed curve. At the junction po

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CZAPP,, Stanislaw. "Charakterystyki wyzwalania urządzen do detekcji zwarc lukowych." AUTOMATYKA, ELEKTRYKA, ZAKLOCENIA 10, no. 3(37)2019 (2019): 16–18. http://dx.doi.org/10.17274/aez.2019.37.02.

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Mei, Paulo Roberto. "Effects of Niobium Microaddition on Carbon Steels." Defect and Diffusion Forum 420 (November 14, 2022): 101–17. http://dx.doi.org/10.4028/p-5kc1x5.

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Niobium is added to carbon steels in small amounts (< 0.1weight %), thus being called a microalloying element, to increase mechanical strength and toughness. When added to steel, niobium is partly soluble in the matrix and another part combines with carbon and nitrogen forming a family of NbxCyNz precipitates (niobium carbides, nitrides or carbonitrides), where the values of x, y, z depend on the temperature and the chemical composition of the steel. The effects of niobium dissolved in the matrix or as precipitates are distinct and sometimes antagonistic. Thus, two samples of the same carbo

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Havrylenko, Yevhen, Yuliia Kholodniak, and Illia Tetervak. "METHOD OF INTERPOLATION OF POINT SET FOR THE FORMATION OF SMOOTH CONTOURS." APPLIED GEOMETRY AND ENGINEERING GRAPHICS, no. 107 (February 26, 2025): 54–73. https://doi.org/10.32347/0131-579x.2024.107.54-73.

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The formation of complex functional surfaces given by an array of points is an actual task of geometric modeling. The geometric model of such a surface is formed on the basis of a discrete linear frame, the elements of which are contours consisting of sections of analytically determined curves lines. The paper solves the problem of modeling a smooth contour that represents the original curve with a given accuracy, interpolates the original point series and belongs to the line curve that does not contain special points. The contour is formed inside the area of the possible location of the parts

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Sharf Aldeen, Asame, Ali Abdi Kordani, Afshin Fallah, and Seyed Mohsen Hosseinian. "Safety Comparison of Simple and Spiral Horizontal Curves Based on Side Friction Factor Dynamic Modeling." Journal of Advanced Transportation 2023 (February 10, 2023): 1–23. http://dx.doi.org/10.1155/2023/7954346.

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A horizontal curve’s geometric design is considered an important factor in highway accidents, and simple and spiral curves are regarded as the most common types of horizontal curves. Various factors affect the safety of horizontal curves, one of the most important of which is the side friction factor in the horizontal curves. Therefore, in this study, the safety of simple and spiral horizontal curves was investigated for the E-class sedan, E-class SUV, and two-axle conventional truck based on the side friction factor. In this regard, CarSim and TruckSim vehicle dynamic simulation software were

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ANDERSON, JAMES W. "Prising apart geodesics by length in hyperbolic manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 158, no. 3 (2015): 547–72. http://dx.doi.org/10.1017/s0305004115000146.

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AbstractWe develop a condition on a closed curve on a surface or in a 3-manifold that implies that the length function associated to the curve on the space of all hyperbolic structures on the surface or in the 3-manifold (respectively) completely determines the curve. Specifically, for an orientable surfaceSof negative Euler characteristic, we extend the known result that simple curves have this property to curves with self-intersection number one (with one exceptional case arising from hyperellipticity that we describe completely). For a large class of hyperbolizable 3-manifolds, we show that

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Li, Yujun. "Characteristics of planar sextic indirect-PH curves." AIMS Mathematics 9, no. 1 (2023): 2215–31. http://dx.doi.org/10.3934/math.2024110.

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<abstract><p>By a fractional quadratic transformation, an indirect-PH curve can have rational offsets. In this paper, I study properties of planar sextic indirect-PH curves, in terms of their Bézier control polygon legs. With our results, sextic Bézier curves can be efficiently tested whether they are indirect-PH curves. The main strategy to achieve our results is using complex representation of planar parametric curve. Sextic indirect-PH curves can be classified into three classes according to different factorizations of their hodographs. Necessary and sufficient conditions for al

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Iqbal, M. Omar, Amer F. Samdani, Joshua M. Pahys, et al. "What happens to the unfused upper thoracic curve after posterior spinal fusion for adolescent idiopathic scoliosis?" Journal of Neurosurgery: Pediatrics 27, no. 6 (2021): 725–31. http://dx.doi.org/10.3171/2020.10.peds20671.

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OBJECTIVE Spontaneous lumbar curve correction after selective thoracic fusion in surgery for adolescent idiopathic scoliosis (AIS) is well described. However, only a few articles have described the course of the uninstrumented upper thoracic (UT) curve after fusion, and the majority involve a hybrid construct. In this study, the authors sought to determine the outcomes and associated factors of uninstrumented UT curves in patients with AIS. METHODS The authors retrospectively reviewed a prospectively collected multicenter AIS registry for all consecutive patients with Lenke type 1–4 curves wit

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Blauberger, P., T. Fukushima, T. G. Russomanno, and M. Lames. "A Pilot Study in Sensor Instrumented Training (SIT) - Ground Contact Time for Monitoring Fatigue and Curve Running Technique." International Journal of Computer Science in Sport 23, no. 1 (2024): 80–92. http://dx.doi.org/10.2478/ijcss-2024-0005.

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Abstract This study examines the possibilities of sensor-instrumented training (SIT) in mid-distance running training sessions. Within this framework, variations of ground contact time (GCT) between straight and curved running, as well as GCT as a fatigue indicator, are explored. Seven experienced runners, with two elite female athletes, participated in two training protocols: 15 sets of 400 m with 1-minute rest and five sets of 300 m with 3-minute rest. GCT was calculated using two inertial measurement units (IMU) attached to the athletes’ feet. The running speed of all athletes was measured

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Jesenik, Marko, Marjan Mernik, and Mladen Trlep. "Determination of a Hysteresis Model Parameters with the Use of Different Evolutionary Methods for an Innovative Hysteresis Model." Mathematics 8, no. 2 (2020): 201. http://dx.doi.org/10.3390/math8020201.

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For precise modeling of electromagnetic devices, we have to model material hysteresis. A Genetic Algorithm, Differential Evolution with three different strategies, teaching–learning-based optimization and Artificial Bee Colony, were used for testing seven different modified mathematical expressions, and the best combination of mathematical expression and solving method was used for hysteresis modeling. The parameters of the hysteresis model were determined based on the measured major hysteresis loop and first-order reversal curves. The model offers a simple determination of the magnetization p

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Xianping, Tu, Lei Xianqing, Ma Wensuo, Wang Xiaoyi, Hu Luqing, and Zuo Xiaolin. "The minimum zone fitting and error evaluation for the logarithmic curve based on geometry optimization approximation algorithm." Transactions of the Institute of Measurement and Control 41, no. 15 (2019): 4380–86. http://dx.doi.org/10.1177/0142331219858855.

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The minimum zone fitting and error evaluation for the logarithmic curve has important applications. Based on geometry optimization approximation algorithm whilst considering geometric characteristics of logarithmic curves, a new fitting and error evaluation method for the logarithmic curve is presented. To this end, two feature points, to serve as reference, are chosen either from those located on the least squares logarithmic curve or from amongst measurement points. Four auxiliary points surrounding each of the two reference points are then arranged to resemble vertices of a square. Subseque

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Polikanova, I. V. "A Sufficient Condition for a Curve to Belong to Boundary of its Own Convex Hullin An." Izvestiya of Altai State University, no. 4(126) (September 9, 2022): 144–49. http://dx.doi.org/10.14258/izvasu(2022)4-22.

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The paper discusses some generalizations of the convex curve and the relationship between the classes of curves they define. The main result concerns the curves in n-dimensional affine space An: a non-degenerate curve in An lies on the boundary of its convex hull if any hyperplane intersects it in at most n points. It is justified by the theory of convex sets. This statement generalizes an earlier (2014) result of the author concerning the curves that are compact sets in An. V. Gustin proved in 1947 a stronger theorem for a Euclidean space En of dimension n: a connected set intersected b

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Eduardo Tarifa, Enrique, Eleonora Erdmann, Demetrio Humana, Samuel Franco Domínguez, and Lorgio Mercado Fuentes. "Using commercial simulators for determining flash distillation curves for petroleum fractions." Ingeniería e Investigación 28, no. 1 (2008): 50–56. http://dx.doi.org/10.15446/ing.investig.v28n1.14867.

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This work describes a new method for estimating the equilibrium flash vaporisation (EFV) distillation curve for petroleum fractions by using commercial simulators. A commercial simulator was used for implementing a stationary model for flash distillation; this model was adjusted by using a distillation curve obtained from standard laboratory analytical assays. Such curve can be one of many types (eg ASTM D86, D1160 or D2887) and involves an experimental procedure simpler than that required for obtaining an EFV curve. Any commercial simulator able to model petroleum can be used for the simulati

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Polikanova, I. V. "Curves whose arcs with a fixed origin are similar." Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, no. 11 (December 8, 2023): 26–40. http://dx.doi.org/10.26907/0021-3446-2023-11-26-40.

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The author previously put forward the hypothesis that in the n-dimensional Euclidean space En, curves, any two oriented arcs of which are similar, are rectilinear. The same statement was proven for dimensions n = 2 and n = 3. In a space of arbitrary dimension, the hypothesis found its confirmation in the class of rectifiable curves. The work provides a complete solution to the problem, and in a stronger version:a) a curve in En, any two oriented arcs of which with a common origin (not fixed) are similar, is rectilinear;b) if a curve in En has a half-tangent at its boundary point and any two of

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Kochański, Błażej. "Which Curve Fits Best: Fitting ROC Curve Models to Empirical Credit-Scoring Data." Risks 10, no. 10 (2022): 184. http://dx.doi.org/10.3390/risks10100184.

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In the practice of credit-risk management, the models for receiver operating characteristic (ROC) curves are helpful in describing the shape of an ROC curve, estimating the discriminatory power of a scorecard, and generating ROC curves without underlying data. The primary purpose of this study is to review the ROC curve models proposed in the literature, primarily in biostatistics, and to fit them to actual credit-scoring ROC data in order to determine which models could be used in credit-risk-management practice. We list several theoretical models for an ROC curve and describe them in the cre

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Moodie, Nathan, William Ampomah, Wei Jia, and Brian McPherson. "Relative Permeability: A Critical Parameter in Numerical Simulations of Multiphase Flow in Porous Media." Energies 14, no. 9 (2021): 2370. http://dx.doi.org/10.3390/en14092370.

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Effective multiphase flow and transport simulations are a critical tool for screening, selection, and operation of geological CO2 storage sites. The relative permeability curve assumed for these simulations can introduce a large source of uncertainty. It significantly impacts forecasts of all aspects of the reservoir simulation, from CO2 trapping efficiency and phase behavior to volumes of oil, water, and gas produced. Careful consideration must be given to this relationship, so a primary goal of this study is to evaluate the impacts on CO2-EOR model forecasts of a wide range of relevant relat

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Hangjian, Zhang, Zhang Guicang, and Wang Lu. "The Shape Analysis of DTB-like and DT B-spline-like Curves." Journal of Mathematics and Informatics 24 (2023): 01–21. http://dx.doi.org/10.22457/jmi.v24a01216.

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In the field of computer-aided design and related applications, the free curve with parameters shows its strong function. But an excellent curve with parameters need to eliminate unnecessary cusps and inflection points, so shape analysis is needed for some specific curves. We have already shown many excellent properties of the DTB-like curves and DT B-spline-like curves. Thus the shape features like convexity, loops, inflection points, and cusps of the DTB-like curves, and DT B-spline-like curves are further discussed in this paper. And the necessary and sufficient conditions for the existence

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Mochizuki, Shinichi. "Galois Sections in Absolute Anabelian Geometry." Nagoya Mathematical Journal 179 (2005): 17–45. http://dx.doi.org/10.1017/s0027763000025599.

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AbstractWe show that isomorphisms between arithmetic fundamental groups of hyperbolic curves over p-adic local fields preserve the decomposition groups of all closed points (respectively, closed points arising from torsion points of the underlying elliptic curve), whenever the hyperbolic curves in question are isogenous to hyperbolic curves of genus zero defined over a number field (respectively, are once-punctured elliptic curves [which are not necessarily defined over a number field]). We also show that, under certain conditions, such isomorphisms preserve certain canonical “integral structu

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Esther Belin. "A Radiant Curve: Poems and Stories (review)." Studies in American Indian Literatures 22, no. 1 (2010): 125–28. http://dx.doi.org/10.1353/ail.0.0115.

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Li, Juncheng, and Chengzhi Liu. "Cubic Trigonometric Hermite Interpolation Curve: Construction, Properties, and Shape Optimization." Journal of Function Spaces 2022 (December 21, 2022): 1–16. http://dx.doi.org/10.1155/2022/7525056.

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Cubic Hermite interpolation curve plays a very important role in interpolation curves modeling, but it has three shortcomings including low continuity, difficult shape adjustment, and the inability to accurately represent some common engineering curves. We construct a cubic trigonometric Hermite interpolation curve to make up the three shortcomings of cubic Hermite interpolation curve once and for all. The cubic trigonometric Hermite interpolation curve not only inherits the features of cubic Hermite interpolation curve but also achieves C2 continuity, has local and global adjustability, and c

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Farashahi, Reza Rezaeian, Mojtaba Fadavi, and Soheila Sabbaghian. "Faster Complete Addition Laws for Montgomery Curves." IACR Transactions on Cryptographic Hardware and Embedded Systems 2024, no. 4 (2024): 737–62. http://dx.doi.org/10.46586/tches.v2024.i4.737-762.

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An addition law for an elliptic curve is complete if it is defined for all possible pairs of input points on the elliptic curve. In Elliptic Curve Cryptography (ECC), a complete addition law provides a natural protection against side-channel attacks which are based on Simple Power Analysis (SPA). Montgomery curves are a specific family of elliptic curves that play a crucial role in ECC because of its well-known Montgomery ladder, particularly in the Elliptic Curve Diffie-Hellman Key Exchange (ECDHKE) protocol and the Elliptic Curve factorization Method (ECM). However, the complete addition law

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Elvik, Rune, and Espen Strandvik Haugvik. "Safety of horizontal curves on rural two-lane roads in Norway." Traffic Safety Research 4 (April 19, 2023): 000026. http://dx.doi.org/10.55329/hkbk3638.

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Horizontal curves are found on all roads. The relationship between the characteristics of horizontal curves and the number of accidents is complex and no previous study has included all factors that are potentially influential for accidents. This paper presents a study of 63 969 horizontal curves on rural two-lane roads in Norway. Accident prediction models including more characteristics of horizontal curves than used in any previous study were developed. Most of the characteristics were found to be related to the number of accidents. Most coefficients were consistent with those found in previ

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