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1

Sunandar, Endang, and Indrianto Indrianto. "Perbandingan Metode Newton-Raphson & Metode Secant Untuk Mencari Akar Persamaan Dalam Sistem Persamaan Non-Linier." PETIR 13, no. 1 (2020): 72–79. http://dx.doi.org/10.33322/petir.v13i1.893.

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The numerical method is a technique used to formulate mathematical problems so that it can be solved using ordinary arithmetic operations. In general, numerical methods are used to solve mathematical problems that cannot be solved by ordinary analytic methods. In the Numerical Method, we recognize two types of systems of equations, namely the Linear Equation System and the Non-Linear Equation System. Each system of equations has several methods. In the Linear Equation System between methods is the Gauss Elimination method, the Gauss-Jordan Elimination method, the LU (Lower-Upper) Decomposition
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2

Zhou, Wenjie, Xuesong Wei, Leqin Wang, and Guangkuan Wu. "A superlinear iteration method for calculation of finite length journal bearing's static equilibrium position." Royal Society Open Science 4, no. 5 (2017): 161059. http://dx.doi.org/10.1098/rsos.161059.

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Solving the static equilibrium position is one of the most important parts of dynamic coefficients calculation and further coupled calculation of rotor system. The main contribution of this study is testing the superlinear iteration convergence method—twofold secant method, for the determination of the static equilibrium position of journal bearing with finite length. Essentially, the Reynolds equation for stable motion is solved by the finite difference method and the inner pressure is obtained by the successive over-relaxation iterative method reinforced by the compound Simpson quadrature fo
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3

Bakushev, Sergey V. "Differential equations of continuum equilibrium for plane deformation in cartesian axials at biquadratic approximation of closing equations." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 76 (2022): 70–86. http://dx.doi.org/10.17223/19988621/76/6.

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The subject under analysis is construction of differential equations of equilibrium in displacements for plane deformation of physically and geometrically nonlinear continuous media when the closing equations are biquadratically approximated in a Cartesian rectangular coordinate system. Proceeding from the assumption that, generally speaking, the diagrams of volume and shear deformation are independent from each other, six main cases of physical dependences are considered, depending on the relative position of the break points of biquadratic diagrams of volume and shear deformation. Constructi
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Kryvoruchko, I. P. "Piecewise Linear Approximation of Smooth, Flat Curves by the Secant Method." Èlektronnoe modelirovanie 44, no. 5 (2022): 51–60. http://dx.doi.org/10.15407/emodel.44.05.051.

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The approximation of smooth lines by a piecewise linear function is relevant in many applications, where this representation can significantly simplify the technological process without a significant loss in quality indicators. An improved method of dividing or representing a smooth curve by a piecewise linear line is proposed, which, in comparison with dividing by the "chord" method, reduces the degree of difference between the approximated and approximating curves for the selected number of segments. The essence of the method consists in the successive point-by-point calculation of the devia
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5

Syed Abdul Nasir, Sharifah Noha Zahirah, Nurul Ain Ab Wahab, and Mohd Agos Salim Nasir. "Graphical User Interface for Solving Non-Linear Equations for Undergraduate Students." International Journal of Advanced Research in Future Ready Learning and Education 30, no. 1 (2023): 25–34. http://dx.doi.org/10.37934/frle.30.1.2534.

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Solving non-linear equations problems for root-finding is more challenging rather than linear equations problems. Generally, this is because it cannot be solved by using the standard formula. The numerical method is one of the ways that can be applied, consisting of an iterative procedure. A simulator named Root Calculator to Solve Non-Linear Equations was developed, where it is a graphical user interface (GUI) system that can be used to approximate the root based on the equation and interval given. Four methods were chosen which are the Graphical Method, the Bisection Method, Newton’s Method,
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6

Sunandar, Endang. "Penyelesaian Sistem Persamaan Non-Linier Dengan Metode Bisection & Metode Regula Falsi Menggunakan Bahasa Program Java." PETIR 12, no. 2 (2019): 179–86. http://dx.doi.org/10.33322/petir.v12i2.490.

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The numerical method is a technique used to formulate mathematical problems so that they can be solved using ordinary arithmetic operations. In general, numerical methods are used to solve mathematical problems that cannot be solved by ordinary analytical methods. In the Numerical Method, we know two types of system equations, namely the Linear Equation System and the Non-Linear Equation System. Each system of equations has several methods. In the System, the Linear Equation between the methods is the Gauss Elimination method, the Gauss-Jordan Elimination method, the LU (Lower-Upper) Decomposi
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7

Xue, Guangming, Hongbai Bai, Tuo Li, Zhiying Ren, Xingxing Liu, and Chunhong Lu. "Numerical Solving Method for Jiles-Atherton Model and Influence Analysis of the Initial Magnetic Field on Hysteresis." Mathematics 10, no. 23 (2022): 4431. http://dx.doi.org/10.3390/math10234431.

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The Jiles-Atherton model was widely used in the description of the system with hysteresis, and the solution for the model was important for real-time and high-precision control. The secant method was used for solving anhysteretic magnetization and its initial values were optimized for faster convergence. Then, the Fourth Order Runge-Kutta method was employed to solve magnetization and the required computation cycles were supplied for stable results. Based on the solving method, the effect of the nonzero initial magnetic field on the magnetization was discussed, including the commonly used line
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8

Montoya Alba, David Esteban, Jhonatan Mcniven Cagua Herrera, and Gustavo Adolfo Puerto Leguizam´ón. "Design of a flattening filter using Fiber Bragg Gratings for EDFA gain equalization: an artificial neural network application." Ciencia e Ingeniería Neogranadina 29, no. 2 (2019): 25–36. http://dx.doi.org/10.18359/rcin.3818.

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 This paper presents a proposal for the non-uniform gain compensation of an Erbium-doped fiber optic amplifier (EDFA) in a Wavelength Division Multiplexed (WDM) system using Fiber Bragg Gratings (FBG). In this proposal, the multilayer perceptron feed-forward artificial neural network with backpropagation was trained under the secant method (one-step secant) and was selected according to mean square error measurement. The proposal optimizes FBG parameters such as center frequency, rejection level and length in order to determine a filtering response based on a reduced number
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9

Бакушев, С. В. "DIFFERENTIAL EQUILIBRIUM EQUATIONS IN IDEAL ELASTIC-PLASTIC CONTINUOUS MEDIUM FOR PLANE DEFORMATION IN CARTESIAN COORDINATES AT APPROXIMATION OF CLOSING EQUATIONS BY BIQUADRATIC FUNCTIONS." Stroitelʹnaâ mehanika i konstrukcii, no. 2(33) (June 16, 2022): 40–52. http://dx.doi.org/10.36622/vstu.2022.33.2.004.

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Постановка задачи. Рассматривается построение дифференциальных уравнений равновесия в перемещениях идеально упругопластической в отношении сдвиговых деформаций геометрически и физически нелинейной сплошной среды для плоского деформирования при биквадратичной аппроксимации замыкающих уравнений в декартовой прямоугольной системе координат. Построение физических зависимостей при этом основано на вычислении секущих модулей объёмного и сдвигового деформирования. Результаты. Исходя из предположения о независимости друг от друга диаграмм объёмного и сдвигового деформирования, рассмотрены пять основны
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10

Liu, Peng, Sheng Dong Liu, Zhneg Zhao, and Jia Qi Liu. "Modeling and Control for a Small UAV Helicopter." Applied Mechanics and Materials 532 (February 2014): 70–73. http://dx.doi.org/10.4028/www.scientific.net/amm.532.70.

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A frequency identification modeling method for a small UAV helicopter and its control system design is presented. A modified frequency identification method for a state-space model of helicopter is presented. The overall concept is to extract a complete set of non-parametric input-to-output frequency responses that fully characterizes the coupled helicopter dynamics, conduct a nonlinear search based on secant method for a linear state-space model that matches the frequency-response data set. The accuracy of the identified model is verified by flight experiments. A path following controller is
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11

Krutikov, G., and D. Borodin. "DETERMINING THE STATE VARIABLES OF A DISCRETE PNEUMATIC DRIVE BY USING THE SECANT METHOD WHEN LINEARIZING A MATHEMATICAL MODEL." Integrated Technologies and Energy Saving, no. 3 (December 20, 2024): 29–42. https://doi.org/10.20998/2078-5364.2024.3.04.

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The pneumatic drive as a thermodynamic system is described based on the principles of "thermodynamics of a body of variable mass". In describing thermodynamic and gas-dynamic processes in pneumatic drives, two scientific schools have developed: researchers of the first school represent processes in the cavities of the drive as polytropic processes with a variable polytropic index, and the second consider processes based on the equation of energy (heat) balance of the gas-pneumatic drive in an open space. The authors investigate a nonlinear mathematical model obtained on the concepts of the sec
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12

Bakushev, S. V. "Displacement differential equations of equilibrium in three-dimensional geometrically and physically nonlinear theory of elasticity for discontinuous closing equations in the cartesian coordinate system." STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS 303, no. 4 (2022): 8–23. http://dx.doi.org/10.37538/0039-2383.2022.4.8.23.

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We consider the construction of coefficients of equilibrium differential equations in displacements for a three-dimensional physically and geometrically nonlinear theory of elasticity. Differential equations of equilibrium are done in a rectangular Cartesian coordinate system. Closing equations are variable modules of volumetric and shear deformation; physical relations are approximated by bilinear functions. Physical dependencies are recorded for four possible rules of continuum deformation in accordance with bilinear graphs of volume and shear deformation. The rules of deformation on each li
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13

Huang, Cong, Shanyang Wei, Zhen Lei, et al. "Experimental Study of Dynamic Mechanical Properties of Water-Saturated Coal Samples under Three-Dimensional Coupled Static–Dynamic Loadings." Processes 10, no. 6 (2022): 1181. http://dx.doi.org/10.3390/pr10061181.

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It is very important to study the influence of water content on the mechanical properties of coal rock to prevent rock burst and roadway instability under dynamic disturbance. In this study, the split Hopkinson pressure bar (SHPB) test system was applied to conduct three-dimensional dynamic and static impact tests on natural and water-saturated coal samples at different strain rates to determine the dynamic mechanical properties of a series of water-bearing coal samples. Based on the new data, we discuss the strength, deformation, crushing energy dissipation, and fractal characteristics of nat
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14

Qiu, Y. P., and G. J. Weng. "An Energy Approach to the Plasticity of a Two-Phase Composite Containing Aligned Inclusions." Journal of Applied Mechanics 62, no. 4 (1995): 1039–46. http://dx.doi.org/10.1115/1.2896040.

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Based on a linear comparison composite (Tandon and Weng, 1988) and an energy criterion for the effective stress of the ductile matrix (Qiu and Weng, 1992), a nonlinear theory is developed to estimate the strain potential and the overall stressstrain relations of a two-phase composite containing aligned spheroidal inclusions. The plastic state of the ductile matrix under a given external load is determined by solving two simultaneous equations, one being its constitutive equation and the other the expression of its effective stress as a function of its secant shear modulus. Then by means of the
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15

Song, Cheng, Guangming Cao, Jinwen Bai, et al. "Fracturing Behaviors and Mechanism of Serial Coal Pillar Specimens with Different Strength." Materials 16, no. 7 (2023): 2690. http://dx.doi.org/10.3390/ma16072690.

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The fracturing behaviors of serial coal pillars is significant for understanding their failure mechanism. To reveal this, the bearing stress, acoustic emission, electrical resistivity, local strain, force chain distribution, and cracks evolution of serial coal pillars under uniaxial compression were evaluated by experiment and numerical simulation. The results show that four bearing stages are observed during the fracturing process (i.e., nonlinear growth, linear growth, yielding growth, and weakening stages). The acoustic emission features, electrical resistivity responses, strain develops, f
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16

Ahmed, Bilal. "Information of stagnation-point flow of Maxwell fluid past symmetrically exponential stretching/shrinking cylinder with prescribed heat flux." AIP Advances 13, no. 4 (2023): 045314. http://dx.doi.org/10.1063/5.0145171.

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This paper deals with the numerical simulation of the stagnation-point boundary-layer flow of Maxwell fluid comprising heat transfer effects past a horizontal cylinder having exponential stretching/shrinking velocity. All geometrical aspects and physical conditions portrayed under the considered model are stated by a system of governing equations in cylindrical coordinates, for which similarity transformation is carried out to get non-linear ordinary differential equations. The secant shooting method is applied to the modeled equations to glean the graphical solution for the skin friction coef
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17

Arvan, Prakash Ankitha, and Madasamy Arockiasamy. "Energy-Based Approach: Analysis of a Vertically Loaded Pile in Multi-Layered Non-Linear Soil Strata." Geotechnics 2, no. 3 (2022): 549–69. http://dx.doi.org/10.3390/geotechnics2030027.

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Numerous studies have been reported in the published literature on analytical solutions for a vertically loaded pile installed in a homogeneous single soil layer. However, piles are rarely installed in an ideal homogeneous single soil layer. This study presents an analytical model based on the energy-based approach to obtain displacements in an axially loaded pile embedded in multi-layered soil considering soil non-linearity. The developed analytical model incorporating Euler-Bernoulli beam theory proved to be an effective way in estimating the load-displacement responses of piles embedded in
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18

Sulaiman, Tukur Abdulkadir, Usman Younas, Abdullahi Yusuf, Muhammad Younis, Muhammad Bilal, and Shafqat-Ur-Rehman. "Extraction of new optical solitons and MI analysis to three coupled Gross–Pitaevskii system in the spinor Bose–Einstein condensate." Modern Physics Letters B 35, no. 06 (2021): 2150109. http://dx.doi.org/10.1142/s0217984921501098.

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This article investigates the optical solitons to the three coupled Gross–Pitaevskii (GP) system (also called the non-linear Schrödinger (NLS) equation), which describes the [Formula: see text] spinor Bose–Einstein condensate, with [Formula: see text] denoting the atom’s spin. The solutions are expressed in the form of hyperbolic function solutions that have different physical meanings such that the hyperbolic tangent appears in the calculation and rapidity of special relativity while, the hyperbolic cotangent arises in the Langevin function for magnetic polarization, the hyperbolic secant ari
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19

Shvarev, S. V. "Morphotectonics, Seismicity, and Exogenous Processes of the Kola Peninsula." Russian Geology and Geophysics 63, no. 8 (2022): 940–54. http://dx.doi.org/10.2113/rgg20204310.

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Abstract —The purpose of this study is to determine a morphologically pronounced fault–block structure identified with the neotectonic stage and compare it with sites with manifested exogenous processes, as well as modern and historical paleoseismicity in order to establish faults activated in the postglacial time. Based on the analysis of space images (Landsat-ETM+) and a digital elevation model (GTOPO-30), the territory of the Kola Peninsula and the adjacent part of North Karelia is subjected to morphostructural interpretation with identifying morpholineaments and an elementary block structu
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20

Ballico, Edoardo, Alessandra Bernardi, Maria Virginia Catalisano, and Luca Chiantini. "Grassmann secants, identifiability, and linear systems of tensors." Linear Algebra and its Applications 438, no. 1 (2013): 121–35. http://dx.doi.org/10.1016/j.laa.2012.07.045.

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21

Ei, Phyu Win, Mie Tin Mie, and Phyo Thu Pyae. "Texture Images Classification using Secant Lines Segments Histogram." International Journal of Trend in Scientific Research and Development 3, no. 5 (2019): 2607–9. https://doi.org/10.5281/zenodo.3591769.

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Texture classification is the process to classify different textures from the given images. The aim of texture classification is to classify the category of a texture image. To design an effective algorithm for texture classification, it is essential to find a set of texture features with good discriminating power. This paper presents a texture classification system using secant lines segments histogram and Euclidean Distance. Secant lines segments histogram is used to generate the features from texture images as a histogram. These features offer a better discriminating strategy for texture cl
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22

Deuflhard, Peter, Roland Freund, and Artur Walter. "Fast secant methods for the iterative solution of large nonsymmetric linear systems." IMPACT of Computing in Science and Engineering 2, no. 3 (1990): 244–76. http://dx.doi.org/10.1016/0899-8248(90)90014-2.

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23

Ciliberto, Ciro, and Francesco Russo. "Varieties with minimal secant degree and linear systems of maximal dimension on surfaces." Advances in Mathematics 200, no. 1 (2006): 1–50. http://dx.doi.org/10.1016/j.aim.2004.10.008.

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24

Došlý, Ondřej. "Representation of solutions of general linear differential systems of the second order." Czechoslovak Mathematical Journal 35, no. 3 (1985): 444–54. http://dx.doi.org/10.21136/cmj.1985.102034.

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25

Li, Lei, Yi-Fei Pu, Sankha Subhra Bhattacharjee, and Mads Græsbøll Christensen. "Widely linear complex-valued hyperbolic secant adaptive filtering algorithm and its performance analysis." Signal Processing 212 (November 2023): 109146. http://dx.doi.org/10.1016/j.sigpro.2023.109146.

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26

Haelterman, Rob, Joris Degroote, Dirk Van Heule, and Jan Vierendeels. "The Quasi-Newton Least Squares Method: A New and Fast Secant Method Analyzed for Linear Systems." SIAM Journal on Numerical Analysis 47, no. 3 (2009): 2347–68. http://dx.doi.org/10.1137/070710469.

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27

Bukotas, Gintaras, and Rimantas Kačianauskas. "ANALYSIS OF AXISYMMETRIC BORE-TYPE FOUNDATION IN RESPECT OF PLASTIC DEFORMATION/AŠIAI SIMETRINIO GRĘŽININIO PAMATO ANALIZĖ ĮVERTINANT PLASTINES DEFORMACIJAS." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 3, no. 10 (1997): 24–31. http://dx.doi.org/10.3846/13921525.1997.10531680.

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In order to design efficient foundations, it is necessary to know exact behaviour of them and surrounding soil under the load. At present various numerical methods [1–11] are used to determine such response. The behaviour of axi-symmetric bored foundation is described in this paper. The finite element method is utilized in analysis of the foundation. Linear and non-linear properties of material are taken into account. The investigation of properties of soil, predominating in Lithuania, and economical constructing of foundation gives preference to bored foundation [12]. Schematically this type
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28

Garkushin, Ivan K., and Olga V. Lavrenteva. "Description of the chemical interaction in the system CaO-Al2O3-SiO2." Izvestiya of Saratov University. Chemistry. Biology. Ecology 23, no. 2 (2023): 138–47. http://dx.doi.org/10.18500/1816-9775-2023-23-2-138-147.

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In this study the construction of a phase tree and the description of the chemical interaction for the ternary oxide system CaO-Al 2O3-SiO2 are given. Particular interest to a system consisting of oxides of calcium, aluminum and silicon is associated with the production of highly demanded functional materials with desired properties. Melts of the CaO-Al2O3-SiO2 system are of great theoretical and applied importance. This is due to the significant role of melts of these oxides and their mixtures in metallurgy, ceramics production, and other industries. Phase relationships in the system with the
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29

Aliyu, M. D. S. "A modified-secant iterative method for solving the Hamilton–Jacobi–Bellman–Isaac equations in non-linear optimal control." IET Control Theory & Applications 10, no. 16 (2016): 2136–41. http://dx.doi.org/10.1049/iet-cta.2016.0108.

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MRS.KONDA, YELE ANTARA, and GUNJE PRIYANKA. "IMAGE SECURITY IMPLEMENTATION IN SOCIAL MEDIA." IJIERT - International Journal of Innovations in Engineering Research and Technology NITET-18 (March 17, 2018): 92. https://doi.org/10.5281/zenodo.1453838.

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<strong>One of the most challenging issues in data sharing systems is the enforcement of access policies and the support of policies updates. Cipher text policy attribute - based encryption is becoming a promising cryptographic solution to this issue. Cipher text � Attribute Based Encryption scheme enables an encryptor to define the attribute set over a universe of attributes that a decryptor needs to possess in order to decrypt the cipher text,and enforce it on the contents. Thus,each user with a different set of attributes is allowed to decrypt different pieces of data per the security polic
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31

Bendor, Sampson Akem*1 Obi P. I2 Akpama E. James3 &. Okoro .O. I4. "DYNAMIC MODELING OF A LINEAR QUADRATIC REGULATOR BASED OPTIMAL DIRECT CURRENT MOTOR FOR IMPROVED PERFORMANCE." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 7, no. 1 (2020): 49–57. https://doi.org/10.5281/zenodo.3631415.

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The paper herein presents the dynamic modelling of a linear quadratic regulator based optimal direct current (DC) motor controller for improved performance. This study investigates the optimal use of a controller in the control of DC motor speed. This work also carried out a comparison of time response specification of the Linear Quadratic Regulator (LQR) for a speed control of a separately excited DC motor. This paper investigates the appropriate control strategy that delivers a better performance with respect to DC motor&#39;s speed reliability. The control method to be implemented in this p
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32

Saleem, Omer, Mohsin Rizwan, and Jamshed Iqbal. "Adaptive optimal control of under-actuated robotic systems using a self-regulating nonlinear weight-adjustment scheme: Formulation and experimental verification." PLOS ONE 18, no. 12 (2023): e0295153. http://dx.doi.org/10.1371/journal.pone.0295153.

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This paper formulates an innovative model-free self-organizing weight adaptation that strengthens the robustness of a Linear Quadratic Regulator (LQR) for inverted pendulum-like mechatronic systems against perturbations and parametric uncertainties. The proposed control procedure is devised by using an online adaptation law to dynamically adjust the state weighting factors of LQR’s quadratic performance index via pre-calibrated state-error-dependent hyperbolic secant functions (HSFs). The updated state-weighting factors re-compute the optimal control problem to modify the state-compensator gai
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33

Anweiler, Stanisław, and Maciej Masiukiewicz. "Application of stereology for two-phase flow structure validation in fluidized bed reactors." Thermal Science 20, no. 4 (2016): 1199–208. http://dx.doi.org/10.2298/tsci151126108a.

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Paper describes a novel method for two-phase gas-solid flow structure validation in fluidized bed reactors. Investigation is based on application of stereology techniques. This is an innovative approach in the field of fluidization phenomena research. Study is focused on the analysis of flow structure images, obtained with high-speed visualization of the fluidization process. Fluidization is conducted in transparent narrow channel, where plastic balls are fluidized by air. Applied stereological analysis is grounded on the linear method and on the method of random and directed secants. This ena
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Guamanquispe Vaca, Fernanda, Diego Guamanquispe Vaca, Segundo Espín Lagos, and Jorge Guamanquispe Toasa. "Design and construction of a system to dry alfalfa." Medwave 23, S1 (2023): eUTA375. http://dx.doi.org/10.5867/medwave.2023.s1.uta375.

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Introducción Según [1], El contenido de humedad es la cantidad de agua evaporable que contiene un producto. Se expresa generalmente en términos de porcentaje, ya sea en relación con su masa total (contenido de humedad en base húmeda) o a su masa seca (contenido de humedad en base seca). El contenido en agua de la mayoría de planta aromáticas y medicinales en fresco oscila entre el 60 % - 80 % y la humedad final máxima admitida en el producto seco es del 6 % -18%. La temperatura es uno de los factores que controlan la velocidad de evaporación de un alimento, a mayor temperatura del aire, mayor
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Moraru, Dumitru. "Tuning method of automatic controllers to object models with second order advance-delay and dead time." Acta et commentationes Ştiinţe Exacte şi ale Naturii 16, no. 2 (2023): 78–88. http://dx.doi.org/10.36120/2587-3644.v16i2.78-88.

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This article explores the application of mathematical models in the design and analysis of automatic control system. By integrating mathematical concepts such as linear algebra, mathematical analysis, the performance and reliability of automatic control systems can be optimized. In the paper, an efficient procedure has been developed for tuning the standardized P, PI, PD, and PID control algorithms to mathematical models of second-order advance-delay with dead time control objects with known parameters, using the maximal stability degree method with iterations. The advantages of the maximum st
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36

Laporte, Pierre, Stéphane Ramstein, and Stéphane Mottin. "Optical Systems in Ultrafast Biophotonics." SPIE 5249 (February 18, 2004): 490–500. https://doi.org/10.5281/zenodo.439022.

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In the field of biophotonics the main goals are the control and processing of in vivo biological tissues and the monitoring of biomolecule dynamics. Two particular pitfalls are present: the dynamic multiscale organization and the photostress of the medium. Until now the state of the art of the pico-femtosecond systems designed to these applications shows that the changing laser technology has been only used as an add-on. Our approach is based on a bottom-up procedure and on the medium-centered knowledge. The range of neurobiological applications of ultrafast photonics extends from TRP (time-re
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Л., Н. Шмакова. "ОПЫТ КАФЕДРЫ ПО УСОВЕРШЕНСТВОВАНИЮ ПРЕПОДАВАНИЯ НЕМЕЦКОГО ЯЗЫКА КАК ВТОРОГО ИНОСТРАННОГО НА ЗАОЧНОМ ОТДЕЛЕНИИ". Вчені записки ХГУ «НУА» 24 (15 червня 2018): 333–40. https://doi.org/10.5281/zenodo.1290783.

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The article analyses pressing problems, which external students face while learning German as a second foreign language. The factors that influence the level of teaching and learning German due to time limits, groups non-uniformity, motivation to learn a second foreign language have been analyzed. Certain methodical aspects of teaching German as a second foreign language, which help to make the learning process a student-oriented one, have been considered. Terms &laquo;external studies&raquo;, &laquo;extra mural education&raquo;, &laquo;extra mural educational technologies&raquo; have been spe
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38

Sanchez-Molina, Jorge, Diana Carolina Alvarez-Rozo, and John Fredy Gelves-Díaz. "Cisco de Café como posible material sustituto de arcilla en la fabricación de materiales cerámicos de construcción en el área metropolitana de Cúcuta." Respuestas 23, no. 1 (2018): 27. http://dx.doi.org/10.22463/0122820x.1326.

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ResumenLa industria cerámica representa un sector representativo para la economía del Norte de Santander. A pesar del reconocimiento de la calidad de los productos fabricados a nivel nacional e internacional, el desarrollo del sector aún se encuentra en fase de consolidación si se compara con los grandes referentes del mundo, entre estos, la industria cerámica Española e Italiana. En la búsqueda de alternativas que permitan entrar en esta dinámica global, el equipo de investigación realizó algunas actividades encaminadas a aplicar el concepto de la economía circular (reutilización de residuos
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39

Luo, Tony, and Bernd Zwanziger. "Investigating Secant Varieties." Inquiry@Queen's Undergraduate Research Conference Proceedings 18, no. 2 (2024). http://dx.doi.org/10.24908/iqurcp17959.

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A variety is a geometric object that locally looks like the set of points that are the solutions of some polynomial equations. Any given variety gives rise to a sequence of secant varieties indexed by the nonnegative integers. The kth secant variety is the union of all planes spanned by k+1 points on the original variety. Like vector spaces in linear algebra, varieties have an intrinsic dimension. A naive parameter count produces an upper bound on the dimension of the kth secant variety called its expected dimension. A secant variety is called defective if its actual dimension is less than its
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Umar, Iliyasu, Abubakar Mukhtar, and Ahmad Sama'ila Nuruddeen. "An Enhanced Computational Precision: Implementing a Graphical user Interface for Advanced Numerical Techniques." July 20, 2023. https://doi.org/10.5281/zenodo.8168345.

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This paper presents the development of a user-friendly graphical user interface (GUI) for root finding, linear system solving, and curve fitting numerical methods using MATLAB. The GUI simplifies the utilization of these methods by providing an intuitive and interactive interface, eliminating the need for extensive programming knowledge. The implemented GUI incorporates various numerical methods, including root finding methods such as the bisection, Newton- Raphson, and secant methods, linear system solving methods like Gaussian elimination and Gauss Jordan, and curve fitting through regressio
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41

Jamali, Sanaullah. "AN ITERATIVE, BRACKETING & DERIVATIVE-FREE METHOD FOR NUMERICAL SOLUTION OF NON-LINEAR EQUATIONS USING STIRLING INTERPOLATION TECHNIQUE." JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES, June 19, 2021. http://dx.doi.org/10.26782/jmcms.2021.06.00002.

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In this article, an iterative, bracketing and derivative-free method have been proposed with the second-order of convergence for the solution of non-linear equations. The proposed method derives from the Stirling interpolation technique, Stirling interpolation technique is the process of using points with known values or sample points to estimate values at unknown points or polynomials. All types of problems (taken from literature) have been tested by the proposed method and compared with existing methods (regula falsi method, secant method and newton raphson method) and it’s noted that the pr
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42

Ballico, Edoardo, and Luca Chiantini. "On the Terracini Locus of Projective Varieties." Milan Journal of Mathematics, March 5, 2021. http://dx.doi.org/10.1007/s00032-020-00324-5.

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AbstractWe introduce and study properties of the Terracini locus of projective varieties X, which is the locus of finite sets $$S \subset X$$ S ⊂ X such that 2S fails to impose independent conditions to a linear system L. Terracini loci are relevant in the study of interpolation problems over double points in special position, but they also enter naturally in the study of special loci contained in secant varieties to projective varieties.We find some criteria which exclude that a set S belongs to the Terracini locus. Furthermore, in the case where X is a Veronese variety, we bound the dimensio
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Nang, Thwe Thwe Oo. "One Dimensional Object Segmentation and Statistical Features of an Image for Texture Image Recognition System." February 21, 2009. https://doi.org/10.5281/zenodo.1055313.

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Traditional object segmentation methods are time consuming and computationally difficult. In this paper, onedimensional object detection along the secant lines is applied. Statistical features of texture images are computed for the recognition process. Example matrices of these features and formulae for calculation of similarities between two feature patterns are expressed. And experiments are also carried out using these features.
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44

Otto, Samuel E., and Clarence W. Rowley. "Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems: A New Approach Using Secants." Journal of Nonlinear Science 32, no. 5 (2022). http://dx.doi.org/10.1007/s00332-022-09806-9.

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45

A., M. Sagir. "An Accurate Computation of Block Hybrid Method for Solving Stiff Ordinary Differential Equations." April 26, 2013. https://doi.org/10.5281/zenodo.1085421.

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In this paper, self-starting block hybrid method of order (5,5,5,5)T is proposed for the solution of the special second order ordinary differential equations with associated initial or boundary conditions. The continuous hybrid formulations enable us to differentiate and evaluate at some grids and off – grid points to obtain four discrete schemes, which were used in block form for parallel or sequential solutions of the problems. The computational burden and computer time wastage involved in the usual reduction of second order problem into system of first order equations are avoided by this ap
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A., M. Sagir. "A Family of Zero Stable Block Integrator for the Solutions of Ordinary Differential Equations." June 27, 2013. https://doi.org/10.5281/zenodo.1076126.

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In this paper, linear multistep technique using power series as the basis function is used to develop the block methods which are suitable for generating direct solution of the special second order ordinary differential equations with associated initial or boundary conditions. The continuous hybrid formulations enable us to differentiate and evaluate at some grids and off – grid points to obtain two different four discrete schemes, each of order (5,5,5,5)T, which were used in block form for parallel or sequential solutions of the problems. The computational burden and computer time wastage inv
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47

Assanova, A. T., та Zh M. Kadirbayeva. "Об одном подходе к решению нелокальной задачи с параметром дляинтегро-дифференциальных уравнений вчастныхпроизводныхгиперболического типа второго порядка". INTERNATIONAL JOURNAL OF INFORMATION AND COMMUNICATION TECHNOLOGIES, № 2(2) (17 лютого 2022). http://dx.doi.org/10.54309/ijict.2020.1.2.01.

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A linear nonlocal problem with a parameter for partial integrodifferential equations of hyperbolic type is considered. This problem is investigated by the Dzhumabaev parameterization method. We offer an algorithm for solving nonlocal problems with parameter for partial integrodifferential equations of hyperbolic type. First,the original problem is reduceto an equivalent problem consisting a family of bound-ary value problems for ordinary integro-differential equations with parameters and integral relations. Then, we reduced the family of boundary value problems for ordinary integro-differentia
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Sidshchadhaa, Aumted, Shiina Shuhei, and Takami Hiroshi. "Advanced ILQ Control for Buck-Converter viaTwo-Degrees of Freedom Servo-System." January 23, 2013. https://doi.org/10.5281/zenodo.1073277.

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In this paper, we propose an advanced ILQ control for the buck-converter via two-degrees of freedom servo-system. Our presented strategy is based on Inverse Linear Quadratic (ILQ) servo-system controller without solving Riccati-s equation directly. The optimal controller of the current and voltage control system is designed. The stability and robust control are analyzed. A conscious and persistent effort has been made to improve ILQ control via two-degrees of freedom guarantees the optimal gains on the basis of polynomial pole assignment, which our results of the proposed strategy shows that t
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KC, Kushal, Matthew Romanko, Andrew Perrault, and Sami Khanal. "On-farm cereal rye biomass estimation using machine learning on images from an unmanned aerial system." Precision Agriculture, July 6, 2024. http://dx.doi.org/10.1007/s11119-024-10162-9.

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AbstractThis study assesses the potential of using multispectral images collected by an unmanned aerial system (UAS) on machine learning (ML) frameworks to estimate cereal rye (Secale cereal L.) biomass. Multispectral images and ground-truth cereal rye biomass data were collected from 15 farmers’ fields up to three times between March and May in northwest Ohio. Images were processed to derive 13 vegetation indices (VIs). Out of 13 VIs, six optimal sets of VIs, including excess green (ExG), normalized green red difference index (NGRDI), soil adjusted vegetation index (SAVI), blue green ratio (B
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M.Sh., Ubaydullaev, and Muradov F.A. "NUMERICAL MODELING OF THE PROPAGATION OF RADIOACTIVE IMPURITIES IN THE SURFACE LAYER OF THE ATMOSPHERE TAKING INTO ACCOUNT WET DEPOSITION." February 5, 2025. https://doi.org/10.5281/zenodo.14807846.

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<em>The article considers numerical modeling of radioactive impurity propagation in the atmospheric surface layer taking into account wet deposition. An implicit finite-difference scheme of the second order of accuracy is used. The developed mathematical model describes the main processes of particle transport, diffusion and deposition, and also takes into account radioactive decay. The study presents an algorithm for a numerical solution, a sweep method for solving a system of linear algebraic equations. The modeling results allow for a spatio-temporal analysis of the concentration of radioac
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