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Journal articles on the topic 'Power method in mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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1

De Alwis, Tilak. "Mathematica and the power method." International Journal of Mathematical Education in Science and Technology 24, no. 6 (November 1993): 813–24. http://dx.doi.org/10.1080/0020739930240605.

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2

Phong, Le Tien, Nguyen Minh Cuong, Thai Quang Vinh, and Ngo Duc Minh. "Method to Harness Maximum Power from Photovoltaic Power Generation Basing on Completely Mathematical Model." International Journal of Research and Engineering 5, no. 8 (September 2018): 486–93. http://dx.doi.org/10.21276/ijre.2018.5.8.4.

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3

Ward, J. P. "Misapplication of the power method." International Journal of Mathematical Education in Science and Technology 29, no. 2 (March 1998): 295–311. http://dx.doi.org/10.1080/0020739980290212.

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4

Seasholtz, Mary Beth, Randy J. Pell, and Kevin E. Gates. "Comments on the power method." Journal of Chemometrics 4, no. 4 (July 1990): 331–34. http://dx.doi.org/10.1002/cem.1180040407.

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5

Eastman, Sean, and Donald Estep. "A power method for nonlinear operators." Applicable Analysis 86, no. 10 (October 2007): 1303–14. http://dx.doi.org/10.1080/00036810701667305.

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6

Paterson, A. L. T. "On The Mathematics Of Estimating Sound Power By The Scanning Method." Journal of Sound and Vibration 161, no. 2 (February 1993): 241–50. http://dx.doi.org/10.1006/jsvi.1993.1069.

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7

Beals, Richard. "The Scope of the Power Series Method." Mathematics Magazine 86, no. 1 (February 2013): 56–62. http://dx.doi.org/10.4169/math.mag.86.1.056.

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8

Sezer, Sefa, and İbrahim Çanak. "Conditions for the equivalence of power series and discrete power series methods of summability." Filomat 29, no. 10 (2015): 2275–80. http://dx.doi.org/10.2298/fil1510275s.

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Discrete power series methods were introduced and their regularity results were developed by Watson [Analysis (Munich), 18(1): 97-102, 1998]. It was shown by Watson that discrete power series method (P?) strictly includes corresponding power series method (P). In the present work we present theorems showing when (P?) and (P) are equivalent methods and when two discrete power series methods are equivalent.

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9

Rahmi, Sylvia, Rifka Nadia, Rubiatur Rubiatur, and Bibih Hasibah. "THE EFFORTS TO INCREASE STUDENTS MATHEMATICAL COMMUNICATION SKILL TROUGH THE USE OF POWERPOINT AND GUIDED DISCOVERY METHODOLOGYON THE STUDY OF CURVED-FACE-THREE-DIMENSIONAL OBJECT (STUDY CASE ON CLASS IX B MTsN CIMAHI – WEST JAVA, INDONESIA)." Journal Of Educational Experts (JEE) 1, no. 1 (January 8, 2018): 19. http://dx.doi.org/10.30740/jee.v1i1p19-26.

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The background of this research is due to the low ability of students' mathematical communication in class IX B MTs Negeri Kota Cimahi. The purpose of this study to determine how the implementation of mathematics learning using power point and to determine the improvement of students' mathematical communication skills on the Curved-face-theree-dimensional object after applying the method of guided discovery. The research method used is Classroom Action Research (PTK) with 3 cycles that are packaged in Lesson Study program. Data collection techniques used documentation, observation, and tests. The result of the research shows that the implementation of mathematics learning using power point with guided discovery method runs conductively and shows positive response, and there is improvement of mathematical communication ability on the 3rd cycle. This is proven by tackling the students' formative value seen from the absorptive power of classical cycle 1 65.39% to 72.94% in cycle 2 and to 86.59% in cycle 3. Based on the results obtained is expected that educators can apply powerpoint spinning with good planning and implementation so that the ability of students' mathematical communication can increaseKeywords: PTK, Lesson Study, Guided Discovery, Mathematical Communication, Power Point

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10

Lunzhu, Dawa, Tao Kui, Ni Ping, Basang Dunzhu, Dong Zhihua, Xu Feng, and Pan Zhiyuan. "Optimization of Reactive Power Compensation Based on Fuzzy Mathematics." E3S Web of Conferences 136 (2019): 01020. http://dx.doi.org/10.1051/e3sconf/201913601020.

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This paper proposes a heuristic method for optimization of reactive power compensation. Firstly, two fuzzy sets of node voltage and cost savings are formed. The compensation location with the greatest compensation suitability is obtained by fuzzy reasoning. Considering the operation modes of several different loads, the mathematical model of reactive power compensation optimization is established, and fuzzy multi-objective optimization is adopted. The method solves the fixed and variable compensation capacity, and calculates the compensation capacity for each existing compensation position cycle until the change does not occur. The above process is repeated until the new compensation position is no longer saved, and finally all the compensation positions, capacity and total savings can be obtained. The example analysis shows the effectiveness and practicability of the method.

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11

Pinot, P., and Z. Silvestri. "New laser power sensor using weighing method." Measurement Science and Technology 29, no. 1 (December 12, 2017): 015103. http://dx.doi.org/10.1088/1361-6501/aa902d.

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12

Yi, Tao. "A Calculation Method of Power System Static Stability Margin." International Journal of Mathematical Models and Methods in Applied Sciences 15 (July 21, 2021): 118–24. http://dx.doi.org/10.46300/9101.2021.15.15.

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This paper establishes a hybrid power network equation with node voltage and branch current as state variables. The characteristic equation representing the stable boundary of the system is derived. Then the boundary conditions of static stability of the power system on the critical circle of voltage static stability are formed. Find the closest distance equation between the load point and the corresponding stable boundary through geometric analysis. The introduction of the distance equation avoids artificially setting the direction of load growth. The distance equation and boundary characteristic equation are added to the hybrid power network equations as additional equations for analyzing the minimum load boundary. The equations are solved by Newton's iterative algorithm. In order to avoid the Jacobian matrix singularity near the load boundary, the algorithm adopts the method of replacing the critical point in the Jacobian matrix to calculate. The simulation results show that the method is correct and effective.

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13

Shen, Canran, and Lanxin Hu. "Power quality comprehensive evaluation method based on fuzzy mathematics and cloud theory." Journal of Physics: Conference Series 1684 (November 2020): 012136. http://dx.doi.org/10.1088/1742-6596/1684/1/012136.

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14

Fahmi, NFN. "Absorbent Power Power Subject Matter and Reliability Math Test Form Item Essay." Indonesian Journal of Educational Assesment 3, no. 1 (June 26, 2020): 42. http://dx.doi.org/10.26499/ijea.v3i1.58.

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This study aims to determine the proportion correct of mathematics subject matter and compare the reliability of essay tests that are scored with 3 different rubric models. The method used in this research is an experiment using design treatments by subjects, an experiment using one group (one group experiment) which is also an experimental group and a control group in different experimental periods. Schools that were sampled were 6 public and private junior high schools and students were sampled as many as 452 students. The research sample was determined by two-stage stratified random sampling. The objects in this study consisted of 22 essay questions in Mathematics for junior high school compiled from the same test specifications. Scoring uses 3 scoring rubrics models, namely scoring rubric Model 1 (0,1), Model 2 (0,1,2), and Model 3 (keywords). The results obtained from this study indicate the reliability of the mathematical essay test on the scoring rubric of model 1 is 0.6859, model 2 is 0.7025, and model 3 is 0.6986. Test reliability of the three scoring rubrics is high or reliable. Students' competence in completing mathematical essay questions is still low, which is under 50%. Only mathematical essay questions calculate volume at the cognitive level of knowledge and understanding above 70%. Student competencies in solving questions that measure reasoning is an average of 12.20%. In other words, the proportion correct of subject matter in two-dimentional figure and space less than 50%, this shows that students still do not understand the concept of the subject matter, especially the material of the central angular relationship, arc length, sector area, which can only be answered correctly by 17.58% of students.

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15

Li, Ying, Musheng Wei, Fengxia Zhang, and Jianli Zhao. "On the power method for quaternion right eigenvalue problem." Journal of Computational and Applied Mathematics 345 (January 2019): 59–69. http://dx.doi.org/10.1016/j.cam.2018.06.015.

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16

Borggaard, Jeff, Traian Iliescu, and John Paul Roop. "An improved penalty method for power-law Stokes problems." Journal of Computational and Applied Mathematics 223, no. 2 (January 2009): 646–58. http://dx.doi.org/10.1016/j.cam.2008.02.002.

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17

Sheng, Zhou, and Qin Ni. "Computing tensor Z-eigenvalues via shifted inverse power method." Journal of Computational and Applied Mathematics 398 (December 2021): 113717. http://dx.doi.org/10.1016/j.cam.2021.113717.

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18

Biezuner, Rodney Josué, Grey Ercole, and Eder Marinho Martins. "Computing the sinp function via the inverse power method." Computational Methods in Applied Mathematics 11, no. 2 (2011): 129–40. http://dx.doi.org/10.2478/cmam-2011-0007.

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AbstractIn this paper, we discuss a new iterative method for computing sinp. This function was introduced by Lindqvist in connection with the unidimensional nonlinear Dirichlet eigenvalue problem for the p-Laplacian. The iterative technique was inspired by the inverse power method in finite dimensional linear algebra and is competitive with other methods available in the literature. Keywords: p-Laplacian, eigenvalues, eigenfunctions, sinp, inverse power method.

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19

Che, Yanbo, Zihan Lv, Jianmei Xu, Jingjing Jia, and Ming Li. "Direct Method-Based Transient Stability Analysis for Power Electronics-Dominated Power Systems." Mathematical Problems in Engineering 2020 (January 4, 2020): 1–9. http://dx.doi.org/10.1155/2020/4295094.

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With the extensive application of power electronics interfaced nonsynchronous energy sources (NESs) in modern power systems, the system stability especially the transient stability is prominently deteriorated, and it is crucial to find a comprehensive and reasonably simple solution. This paper proposes a direct method-based transient stability analysis (DMTSA) method which concludes the key steps as follows: (1) the system modeling of Lyapunov functions using mixed potential function theory and (2) the stability evaluation of critical energy estimation. A voltage source converter- (VSC-) based HVDC transmission system is simulated in a weak power grid to validate the proposed DMTSA method under various disturbances. The simulation results verify that the proposed method can effectively estimate the transient stability with significant simplicity and generality, which is practically useful to secure the operation and control for power electronics-dominated power systems.

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20

Deng, Jiao-Jiao, and Hsiao-Dong Chiang. "Convergence Region of Newton Iterative Power Flow Method: Numerical Studies." Journal of Applied Mathematics 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/509496.

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Power flow study plays a fundamental role in the process of power system operation and planning. Of the several methods in commercial power flow package, the Newton-Raphson (NR) method is the most popular one. In this paper, we numerically study the convergence region of each power flow solution under the NR method. This study of convergence region provides insights of the complexity of the NR method in finding power flow solutions. Our numerical studies confirm that the convergence region of NR method has a fractal boundary and find that this fractal boundary of convergence regions persists under different loading conditions. In addition, the convergence regions of NR method for power flow equations with different nonlinear load models are also fractal. This fractal property highlights the importance of choosing initial guesses since a small variation of an initial guess near the convergence boundary leads to two different power flow solutions. One vital variation of Newton method popular in power industry is the fast decoupled power flow method whose convergence region is also numerically studied on an IEEE 14-bus test system which is of 22-dimensional in state space.

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21

Atwan, Asad H. "The Impact of Using Flipped Classrooms in Developing Mathematical Power among Female Students of the Department of Basic Stage Teaching at al-Aqsa University." Journal of Educational and Psychological Studies [JEPS] 14, no. 3 (July 14, 2020): 539. http://dx.doi.org/10.24200/jeps.vol14iss3pp539-557.

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This study aimed at examining the impact of using flipped classrooms in developing mathematical power among female students of the department of basic education stage at al-Aqsa university in Gaza. The researcher used the experimental method. He prepared the tool of the study (mathematical power test) and applied it to the selected sample of the study. The sample of the study consisted of 62 female students of the department of basic education stage at al-Aqsa university. The selected students were registered for the course of mathematics and its teaching methods 2. The sample of the study was divided into two groups: the experimental group that consisted of 32 female students was taught the course by flipped classrooms, and the control group that consisted of 30 female students was taught by an conventional method. The results of the study showed that flipped classrooms have positive effects on the development of mathematical power of female students of the department of basic stage teaching at al-Aqsa university.

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22

Williams, Gareth, and Donna Williams. "The Power Method for Finding Eigenvalues on a Microcomputer." American Mathematical Monthly 93, no. 7 (August 1986): 562. http://dx.doi.org/10.2307/2323038.

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23

Patterson, Richard F., Pali Sen, and B. E. Rhoades. "A Tauberian theorem for a generalized power series method." Applied Mathematics Letters 18, no. 10 (October 2005): 1129–33. http://dx.doi.org/10.1016/j.aml.2004.11.006.

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24

Chen, Tian-ping, and Shi-zhao Ma. "The modified natural power method for principal component computation." Frontiers of Mathematics in China 1, no. 2 (June 2006): 234–51. http://dx.doi.org/10.1007/s11464-006-0005-y.

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25

BALDWIN, JOHN T. "COMPLETENESS AND CATEGORICITY (IN POWER): FORMALIZATION WITHOUT FOUNDATIONALISM." Bulletin of Symbolic Logic 20, no. 1 (March 2014): 39–79. http://dx.doi.org/10.1017/bsl.2014.3.

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AbstractWe propose a criterion to regard a property of a theory (in first or second order logic) as virtuous: the property must have significant mathematical consequences for the theory (or its models). We then rehearse results of Ajtai, Marek, Magidor, H. Friedman and Solovay to argue that for second order logic, ‘categoricity’ has little virtue. For first order logic, categoricity is trivial; but ‘categoricity in power’ has enormous structural consequences for any of the theories satisfying it. The stability hierarchy extends this virtue to other complete theories. The interaction of model theory and traditional mathematics is examined by considering the views of such as Bourbaki, Hrushovski, Kazhdan, and Shelah to flesh out the argument that the main impact of formal methods on mathematics is using formal definability to obtain results in ‘mainstream’ mathematics. Moreover, these methods (e.g., the stability hierarchy) provide an organization for much mathematics which gives specific content to dreams of Bourbaki about the architecture of mathematics.

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26

Blancarte, Herminio, Hugo M. Campos, and Kira V. Khmelnytskaya. "Spectral parameter power series method for discontinuous coefficients." Mathematical Methods in the Applied Sciences 38, no. 10 (October 1, 2014): 2000–2011. http://dx.doi.org/10.1002/mma.3282.

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27

Дакі, О. А., С. В. Герасимов, and Г. М. Зубрицький. "Digital correlation method for power measurement." Системи обробки інформації, no. 4(163), (October 28, 2020): 15–26. http://dx.doi.org/10.30748/soi.2020.163.02.

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The method of frequency transformations measurement for digital power of electrical signals meters is offered. The method is based on instantaneous power correlation processing. Such approach allows increasing noise immunity of the proposed method, and, as a consequence, its accuracy. Proposed mathematical theory to estimate the variance measurement error of the power of electrical signals. Proposals have been made to reduce the error in measuring the power of electrical signals. The analysis of the interference immunity of the correlation method for measuring power can be extended to the condition under which the interference spectra in voltage and current signals are different.

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28

Bandulasena, H. C. Hemaka, William B. Zimmerman, and Julia M. Rees. "An inverse method for rheometry of power-law fluids." Measurement Science and Technology 22, no. 12 (October 24, 2011): 125402. http://dx.doi.org/10.1088/0957-0233/22/12/125402.

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29

Stanimirovic, Predrag. "Applications of the hyper-power method for computing matrix products." Publikacije Elektrotehni?kog fakulteta - serija: matematika, no. 15 (2004): 13–25. http://dx.doi.org/10.2298/petf0415013s.

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30

Zhai, Qilong. "The Shifted-Inverse Power Weak Galerkin Method for Eigenvalue Problems." Journal of Computational Mathematics 38, no. 4 (June 2020): 606–23. http://dx.doi.org/10.4208/jcm.1903-m2018-0101.

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31

Prot, Olivier, Maïtine Bergounioux, and Jean Gabriel Trotignon. "Determination of a power density by an entropy regularization method." Journal of Applied Mathematics 2005, no. 2 (2005): 127–52. http://dx.doi.org/10.1155/jam.2005.127.

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The determination of directional power density distribution of an electromagnetic wave from the electromagnetic field measurement can be expressed as an ill-posed inverse problem. We consider the resolution of this inverse problem via a maximum entropy regularization method. A finite-dimensional algorithm is derived from optimality conditions, and we prove its convergence. A variant of this algorithm is also studied. This second one leads to a solution which maximizes entropy in the probabilistic sense. Some numerical examples are given.

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32

Lee, Jung-Kyung. "A simple numerical method for pricing American power put options." Chaos, Solitons & Fractals 139 (October 2020): 110254. http://dx.doi.org/10.1016/j.chaos.2020.110254.

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33

Demirci, Kamil, Sevda Yıldız, and Fadime Dirik. "Approximation via Power Series Method in Two-Dimensional Weighted Spaces." Bulletin of the Malaysian Mathematical Sciences Society 43, no. 6 (January 28, 2020): 3871–83. http://dx.doi.org/10.1007/s40840-020-00902-1.

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34

da, Fonseca, Lawrence Glasser, and Victor Kowalenko. "Generalized cosecant numbers and trigonometric inverse power sums." Applicable Analysis and Discrete Mathematics 12, no. 1 (2018): 70–109. http://dx.doi.org/10.2298/aadm1801070f.

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The generalized cosecant numbers denoted here by c?,k represent the coefficients of the power series expansion or generating function of the fundamental function x?= sin?x. In actual fact, these interesting numbers are polynomials in ? of degree k, whose coefficients are only dependent upon k. In this paper we show how they emerge in the calculation of trigonometric inverse power sums. After introducing the generalized cosecant numbers we present a novel and elegant integral approach for computing the Gardner-Fisher trigonometric inverse power sum, which is given by Sv,2(m) = (?/2m)2v ?m-1,k=1 cos-2v (k?/2m), where m and v are positive integers. This method not only confirms the solutions obtained earlier by an empirical method, but it is also much more expedient from a computational point of view. By comparing the formulas from both methods, we derive several new and interesting number-theoretical results involving symmetric polynomials over the set of quadratic powers up to (v-1)2 and the generalized cosecant numbers.

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35

Yu, Yun, Bo Yang, and Fu Jiang Ge. "Research on Power Flow Interface Oriented Regional Wind Power Forecasting Method." Advanced Materials Research 875-877 (February 2014): 1858–62. http://dx.doi.org/10.4028/www.scientific.net/amr.875-877.1858.

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Accurate regional wind power forecasting guarantees the security and economics of the power system integrated with large scale of wind power. Aiming at the gross wind power output of the whole regional grid area, existing regional wind power forecasting methods fails to characterize the locally gross output power of the wind farm aggregation forming a power flow interface with specified flow restraints. In this paper, the work flow of the power flow oriented regional wind power forecasting method based on whole-grid regional wind power forecasting methods was presented first. Then, the data preparation, data preprocessing and the mathematical description of the algorithm for our method were presented. Finally, the case study proved the feasibility and effectiveness of our method. The conclusion indicates that the method presented in this paper implements a multiple temporal and spatial scale regional win power forecasting technology, which can obviously improve the accuracy of regional wind power forecasting, relieve the pressure for the grid side and improve the utilization rate of wind power.

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36

Yu, Yun, Bo Yang, and Fu Jiang Ge. "Research on Power Flow Interface Oriented Regional Wind Power Forecasting Method." Applied Mechanics and Materials 483 (December 2013): 275–79. http://dx.doi.org/10.4028/www.scientific.net/amm.483.275.

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Accurate regional wind power forecasting guarantees the security and economics of the power system integrated with large scale of wind power. Aiming at the gross wind power output of the whole regional grid area, existing regional wind power forecasting methods fails to characterize the locally gross output power of the wind farm aggregation forming a power flow interface with specified flow restraints. In this paper, the work flow of the power flow oriented regional wind power forecasting method based on whole-grid regional wind power forecasting methods was presented first. Then, the data preparation, data preprocessing and the mathematical description of the algorithm for our method were presented. Finally, the case study proved the feasibility and effectiveness of our method. The conclusion indicates that the method presented in this paper implements a multiple temporal and spatial scale regional win power forecasting technology, which can obviously improve the accuracy of regional wind power forecasting, relieve the pressure for the grid side and improve the utilization rate of wind power.

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37

Kumar, Rajendra. "Theoretical Analysis of the Noise Power Ratio of Nonlinear Power Amplifiers." Journal of Applied Mathematics 2016 (2016): 1–9. http://dx.doi.org/10.1155/2016/8710860.

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This paper presents a theoretical analysis and derives the amplifier output noise power spectral density result in a closed form when the input to the amplifier is a band limited Gaussian noise. From the computed power spectral density the NPR is evaluated by a simple subtraction. The method can be applied to any amplifier with known input-output characteristics. The method may be applied to analyze various other important characteristics of the nonlinear amplifier such as spectral regrowth that refers to the spreading of the signal bandwidth when a band limited signal is inputted to the nonlinear amplifier. The paper presents numerical results on the NPR as a function of the noise bandwidth, depth level of the notch, and the output power back-off obtained from the analysis presented in the paper.

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38

Pan, V. Y. "The amended DSeSC power method for polynomial root-finding." Computers & Mathematics with Applications 49, no. 9-10 (May 2005): 1515–24. http://dx.doi.org/10.1016/j.camwa.2004.09.011.

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39

Lesnic, D. "The decomposition method for linear, one-dimensional, time-dependent partial differential equations." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–29. http://dx.doi.org/10.1155/ijmms/2006/42389.

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The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. The efficiency and power of the technique are shown for wide classes of equations of mathematical physics.

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40

Arteca, Gustavo A., Francisco M. Fern�ndez, and Eduardo A. Castro. "New method for confluent singularity analysis of power series." Journal of Mathematical Chemistry 2, no. 3 (July 1988): 227–39. http://dx.doi.org/10.1007/bf01167203.

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41

Lu, Yinbing, and Jianyu Pan. "Shifted power method for computing tensor H-eigenpairs." Numerical Linear Algebra with Applications 23, no. 3 (January 11, 2016): 410–26. http://dx.doi.org/10.1002/nla.2031.

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42

Dong, Wang, Xiao Ling, and Li Xiaohong. "Cooperative Cluster Method Based Power Assignment." Journal of Computational and Theoretical Nanoscience 10, no. 4 (April 1, 2013): 898–905. http://dx.doi.org/10.1166/jctn.2013.2787.

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43

Tian, Zhaolu, Xiaoyan Liu, Yudong Wang, and P. H. Wen. "The modified matrix splitting iteration method for computing PageRank problem." Filomat 33, no. 3 (2019): 725–40. http://dx.doi.org/10.2298/fil1903725t.

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In this paper, based on the iteration methods [3,10], we propose a modified multi-step power-inner-outer (MMPIO) iteration method for solving the PageRank problem. In the MMPIO iteration method, we use the multi-step matrix splitting iterations instead of the power method, and combine with the inner-outer iteration [24]. The convergence of the MMPIO iteration method is analyzed in detail, and some comparison results are also given. Several numerical examples are presented to illustrate the effectiveness of the proposed algorithm.

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44

Bao, Yong, Zaimin Zhong, and Shujun Yang. "Modeling of Power Transition in Full Power Shift of Hydromechanical Transmission." Mathematical Problems in Engineering 2020 (February 10, 2020): 1–14. http://dx.doi.org/10.1155/2020/5296713.

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This paper shall explore the dynamics of power transition in full power shift of hydromechanical transmission (HMT) and focus on the ideal target displacement ratio. An arithmetic two-range HMT is taken as the research object. A mathematical model of power transition in full power shift is established, including the hydraulic transmission unit model and the brake torque model during the double brakes overlapping. Aiming at the constant output power of HMT in the shift process, a prediction model of the displacement ratio target value is established, and the prediction method is proposed. By combining theoretical analysis and experimental research, it proves that the power transition model can describe the power transition process. And the prediction method of the displacement ratio target value proposed in this paper can complete the power transition when the double brakes overlap. In the power shift process, the output power can be transmitted normally in full power. The power transition model and the prediction method of the displacement ratio target value can provide theoretical and engineering references for the full power shift of HMT.

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45

Li, Wen Yan, Lei Wang, and Ying Song. "The Numerical Simulation Analysis of the Power Station Boiler Heating Surface Slagging." Applied Mechanics and Materials 713-715 (January 2015): 1331–34. http://dx.doi.org/10.4028/www.scientific.net/amm.713-715.1331.

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Slagging is a very complicated physical and chemical process which refers to several scientific cores such as combustion, multiphase flow, heat and mass transfer etc. This paper is to build a mathematical modeling of fuzzy comprehensive judgment and to predicate the distribution of slagging on the heated surface by utilizing the theory of fuzzy mathematics. Then a prediction is made in the boiler of Tuoketuo power plant from Datang Corporation with this method, the results are better consistent with the actual conditions.

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46

Chapman, C. J., and H. P. Wynn. "Fractional power series and the method of dominant balances." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2246 (February 2021): 20200646. http://dx.doi.org/10.1098/rspa.2020.0646.

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This paper derives an explicit formula for a type of fractional power series, known as a Puiseux series, arising in a wide class of applied problems in the physical sciences and engineering. Detailed consideration is given to the gaps which occur in these series (lacunae); they are shown to be determined by a number-theoretic argument involving the greatest common divisor of a set of exponents appearing in the Newton polytope of the problem, and by two number-theoretic objects, called here Sylvester sets, which are complements of Frobenius sets. A key tool is Faà di Bruno’s formula for high derivatives, as implemented by Bell polynomials. Full account is taken of repeated roots, of arbitrary multiplicity, in the leading-order polynomial which determines a fractional-power expansion, namely the facet polynomial. For high multiplicity, the fractional powers are shown to have large denominators and contain irregularly spaced gaps. The orientation and methods of the paper are those of applications, but in a concluding section we draw attention to a more abstract approach, which is beyond the scope of the paper.

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Morgan, Alexander P., Andrew J. Sommese, and Charles W. Wampler. "A power series method for computing singular solutions to nonlinear analytic systems." Numerische Mathematik 63, no. 1 (December 1992): 391–409. http://dx.doi.org/10.1007/bf01385867.

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Yürüsoy, Muhammet, and Hüseyin Bayrakçeken. "Numerical method in the analysis of slider bearing with Power-law fluid." Applied Mathematics and Computation 162, no. 1 (March 2005): 491–501. http://dx.doi.org/10.1016/j.amc.2003.12.116.

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Bungert, Leon, Ester Hait-Fraenkel, Nicolas Papadakis, and Guy Gilboa. "Nonlinear Power Method for Computing Eigenvectors of Proximal Operators and Neural Networks." SIAM Journal on Imaging Sciences 14, no. 3 (January 2021): 1114–48. http://dx.doi.org/10.1137/20m1384154.

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POURZAKI, ABBAS, KHALIL MAFINEJAD, and SAYYED HOSAIN KESHMIRI. "A NEW METHOD FOR CDMA SIGNAL MODELING IN NONLINEAR SYSTEMS." Journal of Circuits, Systems and Computers 15, no. 06 (December 2006): 833–48. http://dx.doi.org/10.1142/s0218126606003374.

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When a CDMA signal is passed through an RF transmitter, nonlinear elements cause spectral regrowth which result in reduction of spectral efficiency. CDMA signal has a pseudo noise nature; hence its mathematical treatment is too complex to analysis. In this paper, first it will be shown how to simplify the complex mathematics of CDMA signal. Then, a deterministic signal replaces the CDMA signal and the system response to both of them is calculated. In this paper, for the first time, ACPR is explicitly calculated for both the CDMA and deterministic signals. ACPR is calculated in terms of the nonlinear system coefficients and input power, and therefore, can be used in design objectives. In addition, it will be shown that if input power of the deterministic signal is multiplied by [Formula: see text] (i.e., correction factor), ACPR error of these kinds of signals in -55 dBc is less than 2.2% for the system nonlinearity orders up to 13. This correction factor is obtained by both theoretical and simulation methods.

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