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Journal articles on the topic 'Problem field'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Siegel, W. "The auxiliary field problem." Physica D: Nonlinear Phenomena 15, no. 1-2 (1985): 208–12. http://dx.doi.org/10.1016/0167-2789(85)90164-2.

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2

Pehkonen, Erkki. "Open Tasks in Mathematics: Experiences with one Problem Field." Magistra Iadertina 12, no. 2 (2018): 9–19. http://dx.doi.org/10.15291/magistra.1487.

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In this paper, the task “Number Triangle” stands for problem fields. The problem field in question is planned by the author to be used in the Finnish comprehensive school. With its aid, our purpose is to show how open teaching acts in practice. The most important in these problem tasks is the way they are presented in teaching: A problem field should be offered to pupils little by little. And the continuation in the problem field depends always on pupils’ answers. The answers of problems are not given here, since they are not as important as pupils’ independent solving of problems. How far the

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3

Katsenelenbaum, B. Z. "The approximability problem of electromagnetic field." Uspekhi Fizicheskih Nauk 164, no. 9 (1994): 983. http://dx.doi.org/10.3367/ufnr.0164.199409f.0983.

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4

Aning, Wida Yanti I. Ketut Budayasa Raden Sulaiman. "Adaptive Reasoning Profile Field-Dependent And Field-Independent Cognitive Style Of Students In Planing Solutions To Solve The Math-Problem." Multicultural Education 7, no. 12 (2021): 8. https://doi.org/10.5281/zenodo.5750029.

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<em>This study aims to describe the adaptive reasoning profile of students who have a field-dependent cognitive style (FDCS) and a field-independent cognitive style (FICS) in making plans for solving mathematical problems. This research is a searching-descriptive study with a qualitative approach. The instruments used were the Group Embedded Figures Test (GEFT), Adaptive Reasoning Test (TPA), and interview guidelines.  The results showed profile, adaptive reasoning FDCS, and FICS in planning solutions to solve math-problem are making models by relating the situation to the concept and exp

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5

Zahladko, I. "Interaction of Scalar Particles via a Tachyon Field: Scattering Problem." Ukrainian Journal of Physics 59, no. 8 (2014): 749–54. http://dx.doi.org/10.15407/ujpe59.08.0749.

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6

Sihotang, Maria Ronauli, Nizlel Huda, and Novferma. "Metacognition Analysis in Problem Solving of Field Independent and Field Dependent Students." Riemann: Research of Mathematics and Mathematics Education 6, no. 3 (2024): 325–34. https://doi.org/10.38114/reimann.v6i3.48.

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This study aims to describe students' metacognition in solving PtLSV problems regarding field-independent and field-dependent cognitive styles. This research was conducted at SMP Negeri 1 Muaro Jambi in the 2023/2024 academic year. This type of research is qualitative research. The subjects of this study were 4 students of class VIIA of SMP Negeri 1 Muaro Jambi, 2 students each with field-independent cognitive style and field-dependent cognitive style. Data collection methods were the results of the GEFT test to determine students with field-independent and field-dependent cognitive styles , P

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7

Bertram, Peter. "Cultivation of a Problem Field." Open House International 40, no. 2 (2015): 22–28. http://dx.doi.org/10.1108/ohi-02-2015-b0004.

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A problem is typically defined prior to an architectural process and the result is seen as a solution. The process as a whole is conceived as problem solving. However, the artistic element of the process is inseparable from constructing the problem. From the artistic point of view the solution is merely a derivative. Conventional understanding of artistic creation is sometimes coloured by the misconception that invention first and foremost takes place in the mind of the artist parallel or prior to the actual process. However, as far as the artistic element in an architectural process is concer

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8

Gomes, Diogo, and Stefania Patrizi. "Obstacle mean-field game problem." Interfaces and Free Boundaries 17, no. 1 (2015): 55–68. http://dx.doi.org/10.4171/ifb/333.

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9

Rogers, Keith McKenzie. "The Finite Field Kakeya Problem." American Mathematical Monthly 108, no. 8 (2001): 756. http://dx.doi.org/10.2307/2695620.

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10

Pashkov, M. V., and S. D. Savin. "PROBLEM FIELD OF INNOVATIVE EDUCATION." Humanities And Social Studies In The Far East 18, no. 3 (2021): 53–58. http://dx.doi.org/10.31079/1992-2868-2021-18-3-53-58.

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A problem of the dual role of information technologies’ introduction to the educational process and its institutionalization in the higher education system are analyzed in the article. From sociological perspective the authors distinguish the factors of the influence of globalization and commercialization on structure of higher education, as well as to its implementation approaches. Such crucial social problems as social inequality and "digital divide", "managerialism" of the university structure with lack of creative selforganization, and the strengthening of ethical concerns of academic inte

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11

Bright, Robert. "Field encounters with problem seals." Sealing Technology 1996, no. 31 (1996): 8–9. http://dx.doi.org/10.1016/1350-4789(96)82926-6.

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12

CAMACHO, A., and H. DEHNEN. "HIGGS FIELD AND LOCALIZATION PROBLEM." International Journal of Modern Physics A 14, no. 11 (1999): 1711–19. http://dx.doi.org/10.1142/s0217751x99000865.

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We analyze the role that the excited states of the Higgs field could play in a possible solution to the so-called localization problem of Quantum Theory. We seek a solution to the aforementioned point without introducing additional fundamental constants or extra hypotheses, as has been done in previous works. The electron and Higgs field do indeed have solitonic solutions. This last feature renders, in the one-dimensional case, a solution to the localization problem.

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13

Rogers, Keith McKenzie. "The Finite Field Kakeya Problem." American Mathematical Monthly 108, no. 8 (2001): 756–59. http://dx.doi.org/10.1080/00029890.2001.11919808.

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14

Armadi, Ali, Muhammad Misbahudholam AR, Moh Wardi, and Framz Ardiansyah. "Analysis of Field Dependent and Field Independent Cognitive Styles in Solving Science Problems in Elementary Schools." Jurnal Penelitian Pendidikan IPA 10, no. 3 (2024): 1159–66. http://dx.doi.org/10.29303/jppipa.v10i3.5661.

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This research aims to determine the results of the Science Problem Solving Test, describing students' Field Dependent and Field Independent cognitive styles in solving science problems. The research method used is Mixed Methods, which uses Sequential Explanatory Design. The research results showed that the field-independent and field-dependent students' science problem-solving tests were good. This is proven by using a one-sample t-test with a Sig (2-tailed) result of 0.005. which is smaller than 0.05. The cognitive style of field-dependent students in solving science problems, according to th

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15

Drápalík, Vladimír, and Vladimír Janovský. "On a potential problem with incident wave as a field source." Applications of Mathematics 33, no. 6 (1988): 443–55. http://dx.doi.org/10.21136/am.1988.104323.

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16

Petkovic, Dejan, and Milica Radic. "Generalization of Helmholtz coil problem." Serbian Journal of Electrical Engineering 12, no. 3 (2015): 375–84. http://dx.doi.org/10.2298/sjee1503375p.

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The primary intent of this work is to propose a simple analytical method for designing coil systems for homogeneous and gradient magnetostatic field generation. Coil system consists of two identical coaxial (regular) polygonal current loops. In the space between the loops, there is nearly homogeneous or nearly linear distribution of the magnetic field along the axes depending on the currents' direction. First, we derived a suitable, simple and general expression for the magnetic field along the axes due to a polygonal current loop. We emphasize the importance of the role of this expression for

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17

AZEGAMI, Hideyuki, and Yasuhiro MATSUURA. "Solution Shape Optimization Problem for Sound Field : Concert Hall Problem." Proceedings of the JSME annual meeting 2000.1 (2000): 127–28. http://dx.doi.org/10.1299/jsmemecjo.2000.1.0_127.

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18

Byeon, Dongho, and Hyun Kwang Kim. "On the cancellation problem of Zariski." Bulletin of the Australian Mathematical Society 53, no. 3 (1996): 499–500. http://dx.doi.org/10.1017/s0004972700017263.

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Let K1 and K2 be extension fields over a field K with char K = p > 0. Assume L = K1(x1) = K2(x2) ⊃ K where xi is transcendental over Ki, for i = 1, 2. In this paper we prove that if K1 is a perfect field, then K1 = K2.

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19

Anwar, Khairul, Sofnidar Sofnidar, and Dewi Iriani. "PENCAPAIAN KOMPETENSI MATHEMATICAL MODELING MATHEMATICS SISWA DENGAN GAYA KOGNITIF FIELD INDEPENDENT DAN FIELD DEPENDENT." Jurnal Pendidikan Matematika Universitas Lampung 10, no. 4 (2022): 405–18. http://dx.doi.org/10.23960/mtk/v10i4.pp405-418.

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The purpose of this study was to describe the achievement of mathematical modeling competencies of students with field-independent and field-dependent cognitive styles. The type of research used was a mixed method involving 65 SMP N 7 Muaro Jambi students. The data was obtained through the GETF cognitive style test, a mathematical modeling problem-solving test, and interviews. The results showed that students with the FI cognitive style had reached level 6 in modeling competence, namely, performing the entire process of mathematical modeling to interpret and validate solutions against the cont

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20

V., M. Mikhailov. "ON THE SIMILARITY OF PLANE PULSED MAGNETIC FIELDS CONTINUED FROM DIFFERENT COORDINATE AXES." Electrical engineering & electromechanics, no. 5 (October 27, 2020): 44–49. https://doi.org/10.20998/2074-272X.2020.5.07.

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<strong><em>Purpose.</em></strong><em> The purpose of this work is formulation of similarity conditions for plane magnetic fields at a sharp skin-effect continued in non-conducting and non-magnetic medium from different axes bounding plane surfaces of conductors. <strong>Methodology.</strong> Classic formulation of Cauchy problem for magnetic vector potential Laplace equations, mathematic physics methods and basics similarity theory are used. Two problems are considered: the problem of initial field continuation from one axis and the problem of similar field continuation form ot

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21

Tyas, Dewi Kristika Findia Ning. "PROFIL PEMECAHAN MASALAH MATEMATIKA MAHASISWA MENGGUNAKAN LANGKAH POLYA BERDASARKAN GAYA KOGNITIF FIELD INDEPENDENT DAN FIELD DEPENDENT." Media Pendidikan Matematika 6, no. 1 (2018): 1. http://dx.doi.org/10.33394/mpm.v6i1.1510.

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Based on the experience of the researchers taught the subject of Economic Mathematics many students who have not been able to solve the problem solving. One alternative that can be used to solve the problem is by using Polya steps. When solving a mathematical problem, each student has a different way of thinking. The difference is possible because of differences in student cognitive style. The cognitive styles used in this research are Field Independent cognitive style and Field Dependent cognitive style. The material chosen in this research is the demand function, the Bid Function, the Saving

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22

Samatov, B. T., and A. I. Sotvoldiyev. "Intercept problem in dynamic flow field." Uzbek Mathematical Journal 2019, no. 2 (2019): 103–12. http://dx.doi.org/10.29229/uzmj.2019-2-12.

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23

Uhlig, Frank. "An inverse field of values problem." Inverse Problems 24, no. 5 (2008): 055019. http://dx.doi.org/10.1088/0266-5611/24/5/055019.

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24

Katsenelenbaum, B. Z. "The approximability problem of electromagnetic field." Physics-Uspekhi 37, no. 9 (1994): 903–13. http://dx.doi.org/10.1070/pu1994v037n09abeh000047.

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25

Kozlova, Natalya. "Conceptual Engineering: Idea and Problem Field." Voprosy Filosofii, no. 9 (September 2024): 157–66. http://dx.doi.org/10.21146/0042-8744-2024-9-157-166.

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The article analyzes the ideas and methods of conceptual engineering, its goals, problem field and opportunities. Conceptual engineering as a philosophical direction arises at the intersection of descriptive and normative approaches, representing a revisionist strategy. Emphasizing the correlation between science and social life, the developers of the idea draw attention to the need for a conscious attitude to conceptual representation and terminological choice. Particular attention is paid to the analysis of the name of the direction: the engineering perspective is associated with the ide

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26

Schofield, A. H. "Artin's problem for skew field extensions." Mathematical Proceedings of the Cambridge Philosophical Society 97, no. 1 (1985): 1–6. http://dx.doi.org/10.1017/s0305004100062538.

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For a commutative field extension, L ⊃ K, it is clear that a left basis of L over K; is also a right basis of L over K; however, for an extension of skew fields, this may easily fail, though it is hard to determine whether the right and left dimension may be different. Cohn ([4], ch. 5), however, was able to find extensions of skew fields such that the left and right dimensions were an arbitrary pair of cardinals subject only to the restrictions that neither were 1 and at least one of them was infinite. In this paper, I shall present a new approach that allows us to construct extensions of ske

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27

Avraham, Edison, Tal Raviv, and Eugene Khmelnitsky. "The decentralized field service routing problem." Transportation Research Part B: Methodological 104 (October 2017): 290–316. http://dx.doi.org/10.1016/j.trb.2017.07.005.

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28

Kuroda, Shigeru. "Hilbert's fourteenth problem and field modifications." Journal of Algebra 556 (August 2020): 93–105. http://dx.doi.org/10.1016/j.jalgebra.2020.03.012.

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29

Suuriniemi, Saku, Jari Kangas, and Lauri Kettunen. "Driving a coupled field‐circuit problem." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 26, no. 3 (2007): 899–909. http://dx.doi.org/10.1108/03321640710751307.

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30

Deshmukh, Sharief. "Yau's problem on Einstein field equation." Publicationes Mathematicae Debrecen 57, no. 1-2 (2000): 97–104. http://dx.doi.org/10.5486/pmd.2000.2202.

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31

Balog, J., and L. Palla. "Locality problem for the Liouville field." Physics Letters B 274, no. 3-4 (1992): 323–30. http://dx.doi.org/10.1016/0370-2693(92)91992-i.

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32

Golovina, N. "PROBLEM FIELD OF ETHICS OF EDUCATION." Philosophical Horizons, no. 46 (January 16, 2023): 108–19. http://dx.doi.org/10.33989/2075-1443.2023.46.271538.

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The article considers the ethics of education as a relatively new type of applied ethics. It is focused on identifying specific contradictory situations that arise in the educational process, analyzing and considering them as dilemmas of moral choice. It is shown that, like any applied ethics, the ethics of education is relevant because it is a product of ambiguity and novelty from the point of view of the morality of its modern problems. The author analyzes the institute of education, institutional practice, reveals special problems of the phenomenon of education in the modern socio-cultural

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33

BAIRACHNA, L. "The problem field of information society." INFORMATION AND LAW, no. 2(17) (June 29, 2016): 77–84. http://dx.doi.org/10.37750/2616-6798.2016.2(17).272896.

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The analysis of specificity of forming of information society is conducted, the problem field of information society is revealed and subject content of its legal adjusting is outlined. It is proved that introduction of legal norms regulating information society through the system of law application will become the effective way to resolve conflicts in an information and technological sphere.

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34

Kachanoski, R. G., and G. L. Fairchild. "Field scale fertilizer recommendations: The spatial scaling problem." Canadian Journal of Soil Science 76, no. 1 (1996): 1–6. http://dx.doi.org/10.4141/cjss96-001.

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Soil fertility may vary considerably within a field. The effects of variable soil fertility on the relationships among average crop yield response, average soil test, and fertilizer applied evenly to a field have not been examined. This paper develops stochastic equations to describe the average yield gain on a field basis from the application of a single constant rate of fertilizer, in fields with variable soil fertility. The equations are solved numerically for the specific case of nitrogen fertilizer on corn (Zea mays L.) in Ontario, Canada. The results suggest that since the relationships

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35

Hansson Mild, Kjell. "The EU Directive on Electromagnetic Fields—Practical Experience of Field Measurements." Applied Sciences 14, no. 16 (2024): 7064. http://dx.doi.org/10.3390/app14167064.

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The EU directive on exposure to electromagnetic fields was published in 2004, but due to some problems it was not introduced in the EU countries before 2016. However, still today, many companies are not aware of the legislation and have not taken measures to comply. This could perhaps be due to some of the practical problems they are facing in trying to comply. Here, we address some of these problems, such as showing compliance with the action levels for non-sinusoidal extremely low-frequency magnetic fields, time-averaging for the initial start-up current of handheld machines and time-averagi

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36

Capozzoli, Amedeo, Claudio Curcio, and Angelo Liseno. "On the Optimal Field Sensing in Near-Field Characterization." Sensors 21, no. 13 (2021): 4460. http://dx.doi.org/10.3390/s21134460.

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We deal with the problem of characterizing a source or scatterer from electromagnetic radiated or scattered field measurements. The problem refers to the amplitude and phase measurements which has applications also to interferometric approaches at optical frequencies. From low frequencies (microwaves) to high frequencies or optics, application examples are near-field/far-field transformations, object restoration from measurements within a pupil, near-field THz imaging, optical coherence tomography and ptychography. When analyzing the transmitting-sensing system, we can define “optimal virtual”

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37

Gorda, Elena. "FIELD OF TASKS OF THE CONSTRUCTION OBJECT." Management of Development of Complex Systems, no. 44 (November 30, 2020): 78–83. http://dx.doi.org/10.32347/2412-9933.2020.44.78-83.

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The generalization of the concept of the task in terms of information environments of construction [ISB] is performed. The approach to the presentation of such concepts as construction issues, construction problem, ontology, idea, concept, classification of problems, tasks, directions, objects included in the staging part of the tasks taking into account the specifics of the tasks solved within the developed information technologies in construction issues. The paper defines and investigates on the basis of methods of construction geodesy the actual tasks of construction, design, modeling, moni

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38

Saraswati, Rizqiana Azizah, and Sumbaji Putranto. "Analysis of Critical Thinking Skills in Solving Mathematical Problems in Terms of Field Independent and Field Dependent Cognitive Styles." Indonesian Journal of Mathematics Education 4, no. 1 (2022): 12. http://dx.doi.org/10.31002/ijome.v4i1.5898.

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<p>This study aims to describe critical thinking skills in solving mathematical problems in terms of Field-Independent (FI) and Field-Dependent (FD) cognitive styles. This type of research is descriptive qualitative research. This research was conducted at a state Islamic senior high school in Bantul, Special Region of Yogyakarta, Indonesia. The results of the analysis showed that the Critical Thinking Level (TBK) was 0, namely students did not meet all Ennis indicators through the Polya problem-solving process, namely understanding the problem, planning ideas, implementing ideas, and re

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39

Fedosin, Sergey G. "4/3 Problem for the Gravitational Field." Advances in Physics Theories and Applications 23 (October 24, 2013): 19–25. https://doi.org/10.5281/zenodo.889383.

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The gravitational field potentials outside and inside a uniform massive ball were determined using the superposition principle, the method of retarded potentials and Lorentz transformations. The gravitational field strength, the torsion field, the energy and the momentum of the field, as well as the effective masses associated with the field energy and its momentum were calculated. It was shown that 4/3 problem existed for the gravitational field as well as in the case of the electromagnetic field.

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40

Abdara, Amirulmukminin. "Analisis Kemampuan Calon Guru Matematika Dalam Pengajuan Masalah Ditinjau dari Gaya Kognitif Field Independent dan Field Dependent." Kreano, Jurnal Matematika Kreatif-Inovatif 8, no. 1 (2017): 69–75. http://dx.doi.org/10.15294/kreano.v8i1.7120.

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Penelitian ini bertujuan untuk mendeskripsikan kemampuan calon guru matematika dalam pengajuan masalah ditinjau dari gaya kognitif field independent (FI) dan field dependent (FD). Terdapat dua subjek dalam penelitian ini, yaitu mahasiswa calon guru Pendidikan Matematika semester VI, IKIP Mataram. Gaya kognitif subjek ditentukan berdasarkan skor pemberian instrument GEFT dan kemampuan pengajuan masalah diperoleh melalui TPM dan wawancara. SFI dan SFD masing-masing mengajukan 10 masalah dari informasi berbentuk grafik dan kalimat verbal. Secara umum, kemampuan SFI lebih bagus dibandingkan SFD ya

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41

Angulo, J. M., and M. D. Ruiz-Medina. "A series expansion approach to the inverse problem." Journal of Applied Probability 35, no. 2 (1998): 371–82. http://dx.doi.org/10.1239/jap/1032192853.

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We consider the inverse problem of estimating the input random field in a stochastic integral equation relating two random fields. The purpose of this paper is to present an approach to this problem using a Riesz-based or orthonormal-based series expansion of the input random field with uncorrelated random coefficients. We establish conditions under which the input series expansion induces (via the integral equation) a Riesz-based or orthonormal-based series expansion for the output random field. The estimation problem is studied considering two cases, depending on whether data are available f

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42

Angulo, J. M., and M. D. Ruiz-Medina. "A series expansion approach to the inverse problem." Journal of Applied Probability 35, no. 02 (1998): 371–82. http://dx.doi.org/10.1017/s002190020001500x.

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We consider the inverse problem of estimating the input random field in a stochastic integral equation relating two random fields. The purpose of this paper is to present an approach to this problem using a Riesz-based or orthonormal-based series expansion of the input random field with uncorrelated random coefficients. We establish conditions under which the input series expansion induces (via the integral equation) a Riesz-based or orthonormal-based series expansion for the output random field. The estimation problem is studied considering two cases, depending on whether data are available f

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43

Tanzharikov, P. A., N. S. Suleymenov, A. T. Erzhanova, and A. Zh Nasradin. "RESEARCH AND IMPROVEMENT OF OIL FIELD DEWATERING." Bulletin of the Korkyt Ata Kyzylorda University 62-2 (2022): 77–83. http://dx.doi.org/10.52081/bkaku.2022.v62.i3.115.

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A steady increase in the water content of the extracted oil, an increase in the volume of heavy grades of oil with stable emulsions, an increase in the proportion of thick oil in the total volume of refined oil due to the imperfection of the oil dewatering process is far from a complete list of factors determining the importance and relevance of the problem of optimal automatic control of the oil dewatering process in the fields today. Although this problem is not new to the oil industry, its solution is not yet complete. This circumstance is due to insufficient knowledge of the rocesses of oi

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44

Setiyani, Stevanus Budi Waluya, Yohanes Leonardus Sukestiyarno, and Adi Nur Cahyono. "Construction of reflective thinking: A field independent student in numerical problems." Journal on Mathematics Education 15, no. 1 (2023): 151–72. http://dx.doi.org/10.22342/jme.v15i1.pp151-172.

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In educational settings, reflective thinking is often overlooked, with an excessive emphasis on final answers, resulting in students needing more ability to evaluate and reconstruct their problem-solving processes. The ability for reflective thinking is required by students in solving problems, including numerical problems. This study uses a qualitative approach to focus on field-independent students' numerical problem-solving processes. The data collection technique begins by administering the Group Embedded Figures Test (GEFT), a valid and reliable numeracy problem instrument, and conducting

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45

Mikhailov, V. M. "PROBLEM OF AXISYMMETRIC STEADY MAGNETIC FIELD CONTINUATION FROM FLAT FERROMAGNETIC BOUNDARY." Tekhnichna Elektrodynamika 2025, no. 1 (2025): 12–15. https://doi.org/10.15407/techned2025.01.012.

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The problem of axisymmetric steady magnetic field continuation from flat boundary surface of ferromagnetic is formulated for magnetic flux and scalar potential. Boundary conditions for magnetic flux are not classical because on boundary magnetic flux is unknown and its normal derivative equal zero. The formulation for scalar potential is Cauchy's problem for elliptical partial differential equation. Analytical solutions of the problem are obtained by method of partial solutions, which depend on parameter continuously, and Hankel's integral transformation. It is shown that there are similar pro

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46

Valerii, Mirenkov. "Hydraulic fracture in the nonlinear stress field." Izvestiya vysshikh uchebnykh zavedenii Gornyi zhurnal, no. 4 (June 25, 2020): 12–20. http://dx.doi.org/10.21440/0536-1028-2020-4-12-20.

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Introduction. The article considers a variant of a straight finite fracture modeled by a mathematical cut in the elastic plane. Aim. The new model proposed differs from the existing models by the damage zone bounded by the elastic material at the fracture tip up to the moment of the fracture growth. The process of fracturing is essentially nonlinear. Methodology. The model is based on the full-scale tension experiments with a reference sample of rocks enclosing a fracture and having the characteristic stress points, namely, proportionality limit, elasticity limit, plasticity domain and the dom

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47

Osipov, Vitaliy, Igor Zhigalov, A. S. Lubyankov, A. A. Antipov, and E. V. Titov. "Import substitution in the field of telecommunications and IT technologies." Вестник Пермского университета. Математика. Механика. Информатика, no. 1(52) (2021): 70–74. http://dx.doi.org/10.17072/1993-0550-2021-1-70-74.

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The article examines the problems that arise when solving the problem of import substitution in information systems that work in the interests of state authorities. The tasks of import substitution in the field of information technologies are formulated. The causes of the problem are analyzed. Possible ways of solving the problem are suggested.

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48

Cacace, Simone, Fabio Camilli, and Alessandro Goffi. "A policy iteration method for mean field games." ESAIM: Control, Optimisation and Calculus of Variations 27 (2021): 85. http://dx.doi.org/10.1051/cocv/2021081.

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Abstract:

The policy iteration method is a classical algorithm for solving optimal control problems. In this paper, we introduce a policy iteration method for Mean Field Games systems, and we study the convergence of this procedure to a solution of the problem. We also introduce suitable discretizations to numerically solve both stationary and evolutive problems. We show the convergence of the policy iteration method for the discrete problem and we study the performance of the proposed algorithm on some examples in dimension one and two.

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49

Nie, Tianyang, and Ke Yan. "Extended mean-field control problem with partial observation." ESAIM: Control, Optimisation and Calculus of Variations 28 (2022): 17. http://dx.doi.org/10.1051/cocv/2022010.

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Abstract:

We study an extended mean-field control problem with partial observation, where the dynamic of the state is given by a forward-backward stochastic differential equation of McKean-Vlasov type. The cost functional, the state and the observation all depend on the joint distribution of the state and the control process. Our problem is motivated by the recent popular subject of mean-field games and related control problems of McKean-Vlasov type. We first establish a necessary condition in the form of Pontryagin’s maximum principle for optimality. Then a verification theorem is obtained for optimal

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50

Akşahin, Ergün. "Eğitim Yönetiminin Düşünsel Kavramlarında Problem İzlekleri." International Journal of Social Sciences 8, no. 33 (2024): 430–43. http://dx.doi.org/10.52096/usbd.8.33.27.

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Abstract:

The naming and use of concepts belonging to a branch of science in different ways causes various controversies and confusion. These differences, which are also observed in the field of linguistics, are large enough to go down even to the secondary education level. However, the existence of a branch of science is made possible by determining its basic concepts and ensuring its continuous continuity. This becomes even more important when it comes to social sciences, because the concepts that point to the fields of study of the branch of science in question and the terms that express them as a la

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