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1

Tursynkulova, E. A., and R. E. Praliyeva. "Methodological Features of Teaching Construction Tasks in the Course of School Geometry." Iasaýı ýnıversıtetіnіń habarshysy 124, no. 2 (2022): 266–78. http://dx.doi.org/10.47526/2022-2/2664-0686.22.

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Construction tasks are one of the main materials of the geometry course. Construction tasks in a geometry course are of great importance when teaching theoretical material, as they allow students to better understand the relationship between geometric shapes. The formulation of definitions, the use, if possible, of geometric constructions in proving theorems - increases the activity of the whole class and ensures the awareness and strength of the material. In the process of solving construction problems, students develop spatial representations and constructive skills, that is, the ability to
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2

Chernov, Viktor, and Vladimir Chernov. "Conditions When the Problems of Linear Programming Are Algorithmically Unsolvable." Axioms 13, no. 5 (2024): 293. http://dx.doi.org/10.3390/axioms13050293.

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We study the properties of the constructive linear programming problems. The parameters of linear functions in such problems are constructive real numbers. Solving such a problem involves finding the optimal plan with the constructive real number components. We show that it is impossible to have an algorithm that solves an arbitrary constructive real programming problem.
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3

Donaldson, Alastair F., and Alice Miller. "On the constructive orbit problem." Annals of Mathematics and Artificial Intelligence 57, no. 1 (2009): 1–35. http://dx.doi.org/10.1007/s10472-009-9171-4.

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4

Bridges, Douglas, and Wang Yuchuan. "Constructive Aspects of the Dirichlet Problem." JUCS - Journal of Universal Computer Science 3, no. (11) (1997): 1148–61. https://doi.org/10.3217/jucs-003-11-1148.

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We examine, within the framework of Bishop's constructive mathematics, various classical methods for proving the existence of weak solutions of the Dirichlet Problem, with a view to showing why those methods do not immediately translate into viable constructive ones. In particular, we discuss the equivalence of the existence of weak solutions of the Dirichlet Problem and the existence of minimizers for certain associated integral functionals. Our analysis pinpoints exactly what is needed to find weak solutions of the Dirichlet Problem: namely, the computation of either the norm of a linear fun
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5

Forman, Carol J. "Changing gripes into constructive problem solving." AORN Journal 45, no. 2 (1987): 494–95. http://dx.doi.org/10.1016/s0001-2092(07)68363-x.

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6

Kemper, Gregor. "A constructive approach to Noether's problem." Manuscripta Mathematica 90, no. 1 (1996): 343–63. http://dx.doi.org/10.1007/bf02568311.

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7

Rochefort-Maranda, Guillaume. "Constructive Empiricism and the Closure Problem." Erkenntnis 75, no. 1 (2011): 61–65. http://dx.doi.org/10.1007/s10670-011-9278-y.

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8

Benner, Peter, Sergiy Chuiko, and Olga Nesmelova. "Autonomous periodic boundary-value problems with switchings at nonfixed points of time." Neliniini Kolyvannya 27, no. 4 (2024): 469–93. https://doi.org/10.3842/nosc.v27i4.1480.

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We analyze the relationship between boundary-value problems with impulsive action at fixed points of time and boundary-value problems with switchings at fixed and nonfixed points of time. We find the constructive conditions of solvability and a scheme for construction of solutions of a nonlinear periodic boundary-value problem with switchings at nonfixed points of time. By using the Adomian decomposition method, we obtain the solvability conditions and construct a new iterative technique for finding solutions of a weakly nonlinear periodic boundary-value problem with switchings at nonfixed poi
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9

Kamachkin, Alexander M., Nikolai A. Stepenko, and Gennady M. Chitrov. "On the theory of constructive construction of a linear controller." Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes 16, no. 3 (2020): 326–44. http://dx.doi.org/10.21638/11701/spbu10.2020.309.

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The classical problem of stationary stabilization with respect to the state of a linear stationary control system is investigated. Efficient, easily algorithmic methods for constructing controllers of controlled systems are considered: the method of V. I. Zubov and the method of P. Brunovsky. The most successful modifications are indicated to facilitate the construction of a linear controller. A new modification of the construction of a linear regulator is proposed using the transformation of the matrix of the original system into a block-diagonal form. This modification contains all the advan
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10

Giergiel, Mariusz, Tomasz Buratowski, Piotr Małka, Krzysztof Kurc, Piotr Kohut, and Konrad Majkut. "The Project of Tank Inspection Robot." Key Engineering Materials 518 (July 2012): 375–83. http://dx.doi.org/10.4028/www.scientific.net/kem.518.375.

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The paper presents the project of tank inspection robot. In order to discuss the designing process, algorithm of design has been provided. There are four design stages: the analysis of the construction problem, the synthesis, testing/improving robots construction and finally testing it. First stage of project process is divided into constructive and imitative analysis. Constructive analysis means searching for still not existing solutions of robots and detection methods. In this paper we concentrate only on constructive analysis.
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11

HOLLAND, W. CHARLES, and BOAZ TSABAN. "THE CONJUGACY PROBLEM AND RELATED PROBLEMS IN LATTICE-ORDERED GROUPS." International Journal of Algebra and Computation 15, no. 02 (2005): 395–404. http://dx.doi.org/10.1142/s0218196705002232.

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We study, from a constructive computational point of view, the techniques used to solve the conjugacy problem in the "generic" lattice-ordered group Aut(ℝ). We use these techniques in order to show that for all f, g ∈ Aut (ℝ), the equation xfx = g is effectively solvable in Aut(ℝ).
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12

BONG, NOVI H., JOE RYAN, and KIKI A. SUGENG. "MaxDDBS Problem on Beneš Network." Journal of Interconnection Networks 17, no. 03n04 (2017): 1741003. http://dx.doi.org/10.1142/s0219265917410031.

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Maximum degree-diameter bounded subgraph problem is a problem of constructing the largest possible subgraph of given degree and diameter in a graph. This problem can be considered as a degree-diameter problem restricted to certain host graphs. The MaxDDBS problem with Beneš network as the host graph is discussed in this paper. Beneš network contains a back-to-back buttery network. Even though both networks have maximum degree 4, the structure of their maximum subgraphs are different. We give the constructive lower bound of the largest subgraph of Beneš network of various maximum degrees.
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13

Kiran, Khatter* Jaswinder Kaur. "CONSTRUCTIVE TRAINING ALGORITHM FOR DESIGNING FEEDFORWARD NEURAL NETWORKS: A REVIEW." Global Journal of Engineering Science and Research Management 3, no. 7 (2016): 43–51. https://doi.org/10.5281/zenodo.57375.

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In this paper, we review neural networks, models of neural networks, methods for selecting neural network architecture and constructive algorithms for regression problems. Cascade correlation algorithm is the most suitable for solving regression problems. Dynamic Node Creation (DNC) algorithm is a method which automatically grows backpropogation networks until the target problem is solved. Cascade 2 algorithm is a variant of Cascade correlation algorithm.  Recurrent CBPmethod addresses the construction of recurrent networks by the use of constructive backpropogation. Casper is known to pr
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14

Kashpur, O. F. "Conditions for the solvability of nonlinear equations systems in Euclidean spaces." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 1 (2021): 74–80. http://dx.doi.org/10.17721/1812-5409.2021/1.9.

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The solution of many applied problems is to find a solution of nonlinear equations systems in finite- dimensional Euclidean spaces. The problem of finding the solution of a nonlinear system is divided into two problems: 1. The existence of a solution of a nonlinear equations system; in the case of nonunique of the solution, it is necessary to find the number of these solutions and their surroundings. 2. Finding the solution of a system of nonlinear equations with a given accuracy. Many publications are devoted to solving problem 2, namely the construction of iterative methods, their convergence an
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15

Fathi, Masood, Dalila Benedita Machado Martins Fontes, Matias Urenda Moris, and Morteza Ghobakhloo. "Assembly line balancing problem." Journal of Modelling in Management 13, no. 2 (2018): 455–74. http://dx.doi.org/10.1108/jm2-03-2017-0027.

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Purpose The purpose of this study is to first investigate the efficiency of the most commonly used performance measures for minimizing the number of workstations (NWs) in approaches addressing simple assembly line balancing problem (SALBP) for both straight and U-shaped line, and second to provide a comparative evaluation of 20 constructive heuristics to find solutions to the SALBP-1. Design/methodology/approach A total of 200 problems are solved by 20 different constructive heuristics for both straight and U-shaped assembly line. Moreover, several comparisons have been made to evaluate the pe
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16

TELELIS, ORESTIS, and PANAGIOTIS STAMATOPOULOS. "GUIDING CONSTRUCTIVE SEARCH WITH STATISTICAL INSTANCE-BASE LEARNING." International Journal on Artificial Intelligence Tools 11, no. 02 (2002): 247–66. http://dx.doi.org/10.1142/s0218213002000885.

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Several real world applications involve solving combinatorial optimization problems. Commonly, existing heuristic approaches are designed to address specific difficulties of the underlying problem and are applicable only within its framework. We suspect, however, that search spaces of combinatorial problems are rich in intuitive statistical and numerical information, which could be exploited heuristically in a generic manner, towards achievement of optimized solutions. Our work presents such a heuristic methodology, which can be adequately configured for several types of optimization problems.
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17

MolaeiDerakhtenjani, M., O. RabieiMotlagh, and H. M. MohammadiNejad. "A constructive approach to degenerate center problem." International Journal of Dynamical Systems and Differential Equations 12, no. 3 (2022): 247. http://dx.doi.org/10.1504/ijdsde.2022.125204.

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18

Rabiei Motlagh, Omid, Mahdieh Molaei Derakhtenjani, and Haji Mohammad Mohammadi Nejad. "A constructive approach to degenerate center problem." International Journal of Dynamical Systems and Differential Equations 12, no. 3 (2022): 1. http://dx.doi.org/10.1504/ijdsde.2022.10041165.

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19

García, Norberto Castillo, and Paula Hernández Hernández. "Constructive heuristic for the vertex bisection problem." Journal of Applied Research and Technology 18, no. 4 (2020): 187–96. http://dx.doi.org/10.22201/icat.24486736e.2020.18.4.1194.

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20

Bridges, Douglas, and Wang Yuchuan. "Constructive Weak Solutions of the Dirichlet Problem." Journal of the London Mathematical Society 57, no. 3 (1998): 655–67. http://dx.doi.org/10.1112/s0024610798006243.

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21

Bogolyubskii, A. I., and V. G. Lysov. "Constructive Solution of One Vector Equilibrium Problem." Doklady Mathematics 101, no. 2 (2020): 90–92. http://dx.doi.org/10.1134/s1064562420020064.

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22

Baudouin, Lucie, and Julien Salomon. "Constructive solution of a bilinear control problem." Comptes Rendus Mathematique 342, no. 2 (2006): 119–24. http://dx.doi.org/10.1016/j.crma.2005.11.021.

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23

SOBER, ELLIOTT. "Constructive Empiricism and the Problem of Aboutness." British Journal for the Philosophy of Science 36, no. 1 (1985): 11–18. http://dx.doi.org/10.1093/bjps/36.1.11.

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24

Alon, Noga, and Michael Krivelevich. "Constructive Bounds for a Ramsey-Type Problem." Graphs and Combinatorics 13, no. 3 (1997): 217–25. http://dx.doi.org/10.1007/bf03352998.

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25

Žerovnik, Gašper, and Janez Žerovnik. "Constructive heuristics for the canister filling problem." Central European Journal of Operations Research 19, no. 3 (2010): 371–89. http://dx.doi.org/10.1007/s10100-010-0164-5.

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26

Kashpar, A. I., and V. N. Laptinskiy. "Solvability and construction of solution to the de la Vallee – Poussin problem for the second-order matrix Lyapunov equation with a parameter." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 55, no. 1 (2019): 50–61. http://dx.doi.org/10.29235/1561-2430-2019-55-1-50-61.

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The paper considers the issues of constructive analysis of the de la Vallee – Poussin boundary-value problem for the second-order linear matrix differential Lyapunov equation with a parameter and variable coefficients. The initial problem is reduced to an equivalent integral problem, and to study its solvability a modification of the generalized contraction mapping principle is used. A connection between the approach used and the Green’s function method is established. The coefficient sufficient conditions for the unique solvability of this problem are obtained. Using the Lyapunov – Poincaré s
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27

Gong, Yuxin, Jianxin Xiang, and Jiawei Yao. "Analysis Concerning the Problem of the Optimal Delivery in Three Towns." Journal of Physics: Conference Series 2386, no. 1 (2022): 012013. http://dx.doi.org/10.1088/1742-6596/2386/1/012013.

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Abstract The aim intimately pertinent to this research program is to use constructive mathematical notions to analyze how constructive real numbers and rational numbers are likely to have an influence on the outcomes involving economic problems. Researchers endeavor to find a computer program to determine the optimal location of a production plant and to find out that provided that the distances from the production plant to the sales location are rational numbers, then the problem is algorithmically solvable, though, if the distances are constructive real numbers, then the existence of the com
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28

Pavlikov, Andriy, Nataliia Pinchuk, Oleksiy Fenko, and Volodymyr Kyrychenko. "The Flat Slab Structural System for Cottage Construction." International Journal of Engineering & Technology 7, no. 4.8 (2018): 152–56. http://dx.doi.org/10.14419/ijet.v7i4.8.27231.

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A perspective area of construction is the cottage buildings construction in suburban scenic areas. It is expedient to use prefabricated reinforced concrete structures, namely the industrial flat slab structural system, to reduce the cost and the construction time. The structure of the frame includes columns, rigidity elements and slabs of overlapping. Design schemes and testing equipment are developed and proposed for research bearing capacity of the main structural elements of the frame. The experimental investigation results of the reinforced concrete slabs from flat-slab constructive system
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29

Yang, ChuanFu. "Reconstruction of the Sturm-Liouville operators on a graph with $\delta'_s$ couplings." Tamkang Journal of Mathematics 42, no. 3 (2011): 329–42. http://dx.doi.org/10.5556/j.tkjm.42.2011.773.

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Inverse nodal problems consist in constructing operators from the given zeros of their eigenfunctions. In this work, we deal with the inverse nodal problems of reconstructing the Sturm- Liouville operator on a star graph with $\delta'_s $ couplings at the central vertex. The uniqueness theorem is proved and a constructive procedure for the solution is provided from a dense subset of zeros of the eigenfunctions for the problem as a data.
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30

Deykina, Alevtina D., and Olga N. Levushkina. "PROBLEM-CONSTRUCTIVE TASKS IN TEACHING FOREIGN SCHOOLCHILDREN ORAL SPEECH." Proceedings of Southern Federal University. Philology 28, no. 3 (2024): 188–94. https://doi.org/10.18522/1995-0640-2024-3-188-194.

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The authors introduce the concept of a problem-constructive exercise in teaching Russian as a foreign language, which allows you to teach constructive dialogue consistently and implement training in oral communication in Russian. Based on the classification of dialogues in the process of teaching Russian as a foreign language by O. D. Mitrofanova and V. G. Kostomarov, the authors propose a typology of problem-constructive tasks for teaching speaking and listening: conditional communicative and communicative.
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31

Khristoforov, Ye N., N. Ye Sakovich, and A. M. Sluchevsky. "On the issue of transition from safety engineering to the safe machinery." Traktory i sel hozmashiny 80, no. 11 (2013): 40–42. http://dx.doi.org/10.17816/0321-4443-65769.

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The problem of constructive and production shortcomings of dump machines used at agricultural industry is examined. Causes and outcomes of spontaneous drift (fall) of dump platform are shown. Adjusting stopper valve construction that can solve this problem is proposed.
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32

Benner, P., S. Chuiko, and O. Nesmelova. "Least-squares method in the theory of nonlinear boundary-value problems unsolved with respect to the derivative." Ukrains’kyi Matematychnyi Zhurnal 75, no. 1 (2023): 38–51. http://dx.doi.org/10.37863/umzh.v75i1.7408.

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UDC 517.9 We establish constructive necessary and sufficient conditions of solvability and a scheme for the construction of solutions for a nonlinear boundary-value problem unsolved with respect to the derivative. We also suggest convergent iterative schemes for finding approximate solutions of this problem. As an example of application of the proposed iterative scheme, we find approximations to the solutions of periodic boundary-value problems for a Rayleigh-type equation unsolved with respect to the derivative, in particular, in the case of a periodic problem for the equation used to describ
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33

Pastuszak, Grzegorz. "The common invariant subspace problem and Tarski’s theorem." Electronic Journal of Linear Algebra 32 (February 6, 2017): 343–56. http://dx.doi.org/10.13001/ela.2017.1783.

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This article presents a computable criterion for the existence of a common invariant subspace of $n\times n$ complex matrices $A_{1}, \dots ,A_{s}$ of a fixed dimension $1\leq d\leq n$. The approach taken in the paper is model-theoretic. Namely, the criterion is based on a constructive proof of the renowned Tarski's theorem on quantifier elimination in the theory $\ACF$ of algebraically closed fields. This means that for an arbitrary formula $\varphi$ of the language of fields, a quantifier-free formula $\varphi'$ such that $\varphi\lra\varphi'$ in $\ACF$ is given explicitly. The construction
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34

Barseghyan, Vanya, and Svetlana Solodusha. "Control of String Vibrations by Displacement of One End with the Other End Fixed, Given the Deflection Form at an Intermediate Moment of Time." Axioms 11, no. 4 (2022): 157. http://dx.doi.org/10.3390/axioms11040157.

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We consider a boundary control problem for the equation of string vibration with given initial and final conditions, given the deflection form at an intermediate moment of time. The control is carried out by displacement of one end with the other end fixed. The problem is reduced to the problem of a distributed action control with zero boundary conditions. We propose a constructive approach to constructing a boundary control action by the separation of variables and methods of the theory of control of finite-dimensional systems. The approach is applied to given functions. A computational exper
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35

Verkhoturova, E. "THE APPLICATION OF COMPUTER GEOMETRIC MODELING FOR TRAINING AND APPLIED ENGINEERING AND CONSTRUCTION." Bulletin of South Ural State University series "Construction Engineering and Architecture" 23, no. 1 (2023): 65–74. http://dx.doi.org/10.14529/build230108.

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This work develops an algorithm for solving computational and graphical work from a cycle of constructive problems of engineering and construction design (construction graphics) using CAD, based on the transition from the traditional method of solving this problem (building a 2D drawing manually) to the method of computer geometric modeling. The application of geometric 3D modeling as a useful CAD tool for solving educational and applied problems is considered. The algorithmization of the solution from the cycle of graphic works on the training course “engineering and computer graphics”, which
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36

Fursov, A. S., and P. A. Krylov. "On the Construction of the Graph of Discrete States of a Switched Affine System." Дифференциальные уравнения 59, no. 11 (2023): 1541–49. http://dx.doi.org/10.31857/s0374064123110092.

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The problem of constructing the graph of states of a switched affine system closed by a static state feedback is considered. To solve this problem, a constructive algorithm based on the study of the consistency of systems of linear algebraic inequalities is proposed.
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37

Simonyan, Hamlet. "The Problem of Vertical and Horizontal Identity in Intergenerational Relationships." Bulletin of Yerevan University E: Philosophy, Psychology 14, no. 2 (41) (2023): 58–67. http://dx.doi.org/10.46991/bysu:e/2023.14.2.058.

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Philosophical ideas aimed at establishing and fostering equitable and constructive relationships between generations are gradually gaining more attention. From a philosophical perspective, the study of ethical problems related to intergenerational relations presents an opportunity to raise a number of pivotal questions and their potential solutions, questions that encompass issues such as identity of generations, transmission of socio-cultural heritage from generation to generation, intergenerational justice, responsibility between generations, etc. In this context, it is important to keep in
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38

Ivanov, Vladimir. "METHOD OF SYNTHESIS OF OPTIMAL TERMINAL CONTROL OF NONLINEAR DYNAMICAL SYSTEMS USING A SET OF SINGULAR CURVES." Perm National Research Polytechnic University Aerospace Engineering Bulletin, no. 72 (2023): 42–58. http://dx.doi.org/10.15593/2224-9982/2023.72.04.

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The problem of constructing general solutions to the problems of terminal control of nonlinear systems is considered. It is proved that: 1) the optimal trajectory is the envelope of a parametric family of surfaces and, accordingly, a parametric family of singular curves defined on them, 2) optimal control can be found on this family. A constructive method for constructing singular curves is given. The "free" parameters of singular curves are found from the condition of minimization of the terminal functional. Such an approach in some cases avoids the explicit solution of the boundary value pro
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39

DRAELOS, TIM, and DON HUSH. "A CONSTRUCTIVE NEURAL NETWORK ALGORITHM FOR FUNCTION APPROXIMATION USING LOCALLY FIT SIGMOIDS." International Journal on Artificial Intelligence Tools 07, no. 03 (1998): 373–98. http://dx.doi.org/10.1142/s0218213098000172.

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A study of the function approximation capabilities of single hidden layer neural networks strongly motivates the investigation of constructive learning techniques as a means of realizing established error bounds. Learning characteristics employed by constructive algorithms provide ideas for development of new algorithms applicable to the function approximation problem. In addition, constructive techniques offer efficient methods for network construction and weight determination. The development of a novel neural network algorithm, the Constructive Locally Fit Sigmoids (CLFS) function approxima
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40

Arslantaş, Merve. "Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem." Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi 15, no. 1 (2025): 308–15. https://doi.org/10.21597/jist.1525499.

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Inverse nodal problems has been studied for Sturm-Liouville equations with point δ coaction. First, the eigenvalues of the problem are obtained. Then, the solution of the inverse problem is given by obtaining potential function and the parameters in the boundary conditions with the help of a dense set of nodal points. Lastly, the uniqueness theorem is proven and a constructive procedure for solutions is provided.
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41

Волошинов, Д., and Denis Voloshinov. "Visual-Graphic Design of a Unitary Constructive Model to Solve Analogues For Apollonius Problem Taking into Account Imaginary Geometric Images." Geometry & Graphics 6, no. 2 (2018): 23–46. http://dx.doi.org/10.12737/article_5b559c70becf44.21848537.

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The Apollonius problem on construction of circles, tangent to three arbitrary given circles of a plane, is one of classical geometry’s well-studied problems. The presented paper’s materials are directed at development a unified theory for Apollonius problem solving, taking into account it’s not only real, but also invisible complex-valued images. In the paper it has been demonstrated, that fundamental geometric structures, on which Apollonius problem is based on, are applicable not only to real, but also to complex-valued data, that makes possible to eliminate many exceptions, currently existi
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42

ELIZONDO, DAVID A., ROBERT MORRIS, TIM WATSON, and BENJAMIN N. PASSOW. "CONSTRUCTIVE RECURSIVE DETERMINISTIC PERCEPTRON NEURAL NETWORKS WITH GENETIC ALGORITHMS." International Journal of Pattern Recognition and Artificial Intelligence 27, no. 06 (2013): 1350019. http://dx.doi.org/10.1142/s0218001413500195.

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The recursive deterministic perceptron (RDP) is a generalization of the single layer perceptron neural network. This neural network can separate, in a deterministic manner, any classification problem (linearly separable or not). It relies on the principle that in any nonlinearly separable (NLS) two-class classification problem, a linearly separable (LS) subset of one or more points belonging to one of the two classes can always be found. Small network topologies can be obtained when the LS subsets are of maximum cardinality. This is referred to as the problem of maximum separability and has be
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43

Bertolini, Vittorio, Carlos Rey, Mauricio Sepulveda, and Victor Parada. "Novel Methods Generated by Genetic Programming for the Guillotine-Cutting Problem." Scientific Programming 2018 (September 2, 2018): 1–13. http://dx.doi.org/10.1155/2018/6971827.

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New constructive algorithms for the two-dimensional guillotine-cutting problem are presented. The algorithms were produced from elemental algorithmic components using evolutionary computation. A subset of the components was selected from a previously existing constructive algorithm. The algorithms’ evolution and testing process used a set of 46 instances from the literature. The structure of three new algorithms is described, and the results are compared with those of an existing constructive algorithm for the problem. Several of the new algorithms are competitive with respect to a state-of-th
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44

Ognev, A. N. "ONTOGNOSEOLOGICAL ASPECT OF THE PROBLEM OF CONSTRUCTIVE COVENTION." Ontology of designing 22, no. 4 (2016): 525–40. http://dx.doi.org/10.18287/2223-9537-2016-6-4-525-540.

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45

Vashkov’yak, M. A. "Constructive analytical solution of the evolution hill problem." Solar System Research 44, no. 6 (2010): 527–40. http://dx.doi.org/10.1134/s0038094610060067.

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46

Dubrov, B. M., and B. P. Komrakov. "The problem of constructive equivalence in differential geometry." Sbornik: Mathematics 191, no. 5 (2000): 655–81. http://dx.doi.org/10.1070/sm2000v191n05abeh000476.

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47

Valentini, Silvio. "The problem of the formalization of constructive topology." Archive for Mathematical Logic 44, no. 1 (2004): 115–29. http://dx.doi.org/10.1007/s00153-004-0243-1.

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Bräsel, H., T. Tautenhahn, and F. Werner. "Constructive heuristic algorithms for the open shop problem." Computing 51, no. 2 (1993): 95–110. http://dx.doi.org/10.1007/bf02243845.

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Takahashi, Y. "A unified constructive network model for problem-solving." IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics) 26, no. 4 (1996): 606–15. http://dx.doi.org/10.1109/3477.517035.

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V’yugin, I. V. "Constructive Solvability Conditions for the Riemann-Hilbert Problem." Mathematical Notes 77, no. 5-6 (2005): 595–605. http://dx.doi.org/10.1007/s11006-005-0061-8.

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