Journal articles: 'Resolution of mathematical problems'

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Llopis-Albert, Carlos, and Daniel Palacios-Marques. "Applied Mathematical Problems in Engineering." Multidisciplinary Journal for Education, Social and Technological Sciences 3, no. 2 (2016): 1. http://dx.doi.org/10.4995/muse.2016.6679.

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There is a close relationship between engineering and mathematics, which has led to the development of new techniques in recent years. Likewise the developments in technology and computers have led to new ways of teaching mathematics for engineering students and the use of modern techniques and methods. This research aims to provide insight on how to deal with mathematical problems for engineering students. This is performed by means of a fuzzy set/Qualitative Comparative Analysis applied to conflict resolution of Public Participation Projects in support to the EU Water Framework Directive.

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S, Silvester. "ANALYSIS OF MATHEMATICAL RESOLUTION REVIEWED FROM COGNITIVE STYLE AND MATHEMATICAL ANXIETY OF STUDENTS IN STUDENTS OF CLASS VII SMP FRATER MAKASSAR." Global Science Education Journal 1, no. 1 (2019): 15–21. http://dx.doi.org/10.35458/gse.v1i1.2.

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This study aims to 1) description of the mathematical problem solving in terms of cognitive style field-independent (FI) mathematical anxiety and low and high, 2) description of mathematical problem solving in terms of cognitive style field-dependent (FD) and mathematical low and high anxiety. Type a descriptive qualitative research. Instrument and data collection that is used in the form of Test anxiety now, GEFT, math test and interview. Data analysis techniques used, namely the reduction of data, data presentation, data verification and withdrawal of the conclusion. Research results: 1) the stylish Subject of cognitive ability in resolving the problem FI i.e. analytical and clear, but there is confusion on step completion caused high anxiety. 2) FD Subject in resolving problems i.e. thorough thinking because anxiety low was able to complete the issue hadn't yet high anxiety while still think dabble so can not solve the problem completely. 3) link between cognitive style and anxiety seen in a mathematically solve problems I on righteousness calculations and measures penyelesainnya. While the mathematical anxiety cognitive style is influenced by the FI and FD is seen in resolving problems, a subject that has broad perceptions of analytic and so was able to resolve the problem, while the subject is more intuitive, FD presepsi narrow and unable to resolve the problem completely

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Valdes, Juan Eduardo Nápoles. "Some reflections on the problems and their role in the development of mathematics." Revista Pesquisa Qualitativa 8, no. 18 (2020): 524–39. http://dx.doi.org/10.33361/rpq.2020.v.8.n.18.343.

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In this work we show the historical significance of mathematical problems and their meaning, not only for Mathematics itself, but for the Philosophy of Mathematics and other related sciences, in which the current conceptual and methodological apparatus has been developed, as a result of the development of investigations related to the resolution of certain problems. From these results, we build the Mathematical Development Matrix. Keywords: Problems; History of Mathematics; Mathematics.

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Florentino, Helenice de Oliveira. "Mathematical tool to size rural digesters." Scientia Agricola 60, no. 1 (2003): 185–90. http://dx.doi.org/10.1590/s0103-90162003000100028.

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Anaerobic digesters have been highlighted due to the current energy crisis and its consequent search for alternative energy sources, allied to the intense process of livestock farming and agriculture modernization, which besides demanding a lot of energy, produces a great amount of crop and animal residues, most of the times generating sanitary problems. The aim of this work is to provide a mathematical tool to establish parameters for projects of construction of rural digesters, considering the response to energy demand, the suitability of the dimensions of the systems, yield factors and the guarantee of functionality. Non-linear optimization models, of easy resolution, for the three main types of rural digesters were formulated in this way. With the resolution of these models one can determine the height and the diameter that lead to a minimum volume for each type, so reducing the necessary amount of masonry and, consequently, diminishing the cost.

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Sañudo, J., and A. F. Pacheco. "Resolution of two new Thomas-Fermi problems." Journal of Physics A: Mathematical and General 35, no. 15 (2002): 3559–72. http://dx.doi.org/10.1088/0305-4470/35/15/314.

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Mateus-Nieves, Enrique, and Harold Randolph Devia Díaz. "Development of Mathematical Thinking Skill from the Formulation and Resolution of Verbal Arithmetic Problems." Acta Scientiae 23, no. 1 (2021): 30–52. http://dx.doi.org/10.17648/acta.scientiae.5845.

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Martínez Vicente, Marta, and Carlos Valiente Barroso. "Autorregulación afectivo- motivacional, resolución de problemas y rendimiento matemático en Educación Primaria." Educatio Siglo XXI 37, no. 3 Nov- Feb (2019): 33–54. http://dx.doi.org/10.6018/educatio.399151.

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En los procesos de autorregulación del aprendizaje intervienen estrategias cognitivas y motivacionales fruto de las cuales los estudiantes generan creencias de autoeficacia, utilidad y valor de la tarea. Este estudio se propone analizar el efecto del componente afectivo-motivacional en resolución de problemas y el rendimiento matemático en general. Participaron 146 alumnos de primaria, a los que se les aplicó la prueba de resolución de problemas de la batería EVAMAT y un cuestionario ad hoc elaborado para evaluar cuatro dimensiones relacionadas con las actitudes hacia las Matemáticas. El análisis MANOVA informa de diferencias estadísticamente significativas en valoración del docente, utilidad y satisfacción, competencia matemática y creencias en resolución de problemas en función del curso, descendiendo las puntuaciones a medida que los alumnos avanzan en su escolaridad. Además, los alumnos con rendimiento alto obtienen puntuaciones mayores en dichas variables, que son al tiempo predictoras del rendimiento matemático en general. Se concluye enfatizando la necesidad de profundizar en la dimensión emocional del aprendizaje matemático que puede revertir en una experiencia más significativa, útil y funcional, incrementando la implicación y el interés del alumnado y en consecuencia el rendimiento académico en dicha área curricular. In the processes of self-regulation which mediate learning cognitive and motivational strategies occur. They generate a belief in self-efficiency, usefulness and value of the task. The aim of this study is to analyze the effect of affective and motivational components in the resolution of problems and in mathematical performance in general. 146 Primary School pupils completed a test based on the resolution of problems contained in EVAMAT and in an ad hoc questionnaire elaborated in order to assess four dimensions related to attitudes towards mathematics. A MANOVA analysis revealed statistically significant differences in teacher assessment, usefulness and satisfaction, mathematical competence and beliefs in resolution of problems according to level, showing that the marks go down as the pupils grow up. Furthermore, higher proficiency pupils obtain better results for these variables, which predict mathematical performance in general. The conclusion emphasizes the need to insist on the emotional dimension of mathematical learning, which can lead to a more significant, useful and functional experience, while at the same time, increase the implication and interest of the pupils and, consequently, academic performance in this curricular area.

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SALAZAR, Carlos A., Cristina I. CANTILLO, and H. MUÑOZ. "Contribution of the implementation of an alternative teaching model in the teaching of mathematics: solving arithmetic problems in primary basics." Espacios 42, no. 01 (2021): 119–30. http://dx.doi.org/10.48082/espacios-a21v42n01p10.

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This article is the product of the research process carried out within the framework of doctoral thesis research entitled, "Alternative teaching model for the resolution of arithmetic problems in primary basic". Which seeks to provide the education system with a new alternative composed of a series of consecutive steps, with the general objective of "Strengthening the basic mathematical competencies of primary school students through a teaching model that facilitates the resolution of arithmetic problems".

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da Veiga, L. Beirão, A. Buffa, G. Sangalli, and R. Vázquez. "Mathematical analysis of variational isogeometric methods." Acta Numerica 23 (May 2014): 157–287. http://dx.doi.org/10.1017/s096249291400004x.

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This review paper collects several results that form part of the theoretical foundation of isogeometric methods. We analyse variational techniques for the numerical resolution of PDEs based on splines or NURBS and we provide optimal approximation and error estimates in several cases of interest. The theory presented also includes estimates for T-splines, which are an extension of splines allowing for local refinement. In particular, we focus our attention on elliptic and saddle point problems, and we define spline edge and face elements. Our theoretical results are demonstrated by a rich set of numerical examples. Finally, we discuss implementation and efficiency together with preconditioning issues for the final linear system.

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Barbero, Marta, Inés M. Gómez-Chacón, and Ferdinando Arzarello. "Backward Reasoning and Epistemic Actions in Discovering Processes of Strategic Games Problems." Mathematics 8, no. 6 (2020): 989. http://dx.doi.org/10.3390/math8060989.

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The paper focuses on the cognitive and epistemic characterization of backward reasoning in strategy games resolution. It explores the use of abstraction in context (AiC) theory as a tool for the analysis of the epistemic actions involved in these processes. We follow a qualitative methodology based on design experiments, focusing on a study carried out with mathematics and engineering students. The analysis allowed us to combine the two models derived from the epistemology of mathematical backward reasoning and AiC theory in a unified framework that allowed us to focus both short-term and long-term processes in mathematical activities. Recurring patterns of epistemic actions were identified.

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Jaharuddin and Hadi Hermansyah. "Analytical Approach for Solving the Internal Waves Problems Involving the Tidal Force." Journal of Applied Mathematics 2018 (August 7, 2018): 1–5. http://dx.doi.org/10.1155/2018/6835179.

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The mathematical model for describing internal waves of the ocean is derived from the assumption of ideal fluid; i.e., the fluid is incompressible and inviscid. These internal waves are generated through the interaction between the tidal currents and the basic topography of the fluid. Basically the mathematical model of the internal wave problem of the ocean is a system of nonlinear partial differential equations (PDEs). In this paper, the analytical approach used to solve nonlinear PDE is the Homotopy Analysis Method (HAM). HAM can be applied to determine the resolution of almost any internal wave problem involving tidal forces. The use of HAM in the solution to basic fluid equations is efficient and simple, since it involves only modest calculations using the common integral.

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Gina, Nurani Mardhiyatul, Nia Jusniani, and Hedi Budiman. "MATHEMATICAL REPRESENTATION ABILITY OF JUNIOR HIGH SCHOOL STUDENTS ON SURFACE AREA OF CUBE AND CUBOID." Prima: Jurnal Pendidikan Matematika 5, no. 1 (2021): 72. http://dx.doi.org/10.31000/prima.v5i1.2769.

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Students still have difficulty in solving contextual math problems. It is because students are not used to solving problems using diverse mathematical representations. The representation can make it easier for students to solve abstract math problems. This study aims to determine and identify the types of errors and factors made by students in mathematical representation ability test questions. This study's subjects were 20 students of class VIII-H at SMPN 1 Cugenang on the Surface Area of Cube and Cuboid. The method used is qualitative. The process of collecting data is observation, written test, interview. The results showed that the level of students' mathematical representation ability based on indicators: (1) was 41% on the indicator using visual representations to solve problems and make geometrical drawings to clarify problems and facilitate resolution, (2) by 64% on indicators of problem-solving by involving mathematical expressions, (3) 61% of indicators create problem situations based on data or representations given. Furthermore, based on the analysis of students' answers in tests on a matter of mathematical representation ability, students making mistakes that are data errors, using definitions or theorems, and technicalities. Factors causing students to make mistakes are forgetfulness, lack of accuracy, learning difficulties, family environment.

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Rodríguez-Hernández, M. M., R. E. Pruneda, and J. M. Rodríguez-Díaz. "Statistical Analysis of the Evolutive Effects of Language Development in the Resolution of Mathematical Problems in Primary School Education." Mathematics 9, no. 10 (2021): 1081. http://dx.doi.org/10.3390/math9101081.

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For primary school students, the difficulty in solving mathematical problems is highly related to language capacity. A correct solution can only be achieved after being able to deal with different abstract concepts through several stages: comprehension, processing, symbolic representation and relation of the concepts with the right mathematical operations. A model linking the solution of the mathematical problems (PS) with the mental representation (MR) of the problem statement, while taking into account the level of the students (which has influence in the linguistic abilities), is presented in this study. Different statistical tools such as the Analysis of Covariance (ANCOVA), ROC curves and logistic regression models have been applied. The relation between both variables has been proved, showing that the influence of MR in PS is similar in the different age groups, with linking models varying just in the constant term depending on the grade level. In addition, a cutoff in the mental representation test is provided in order to predict the student’s ability in problem resolution.

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Geiger, Carl, and Christian Kanzow. "On the resolution of monotone complementarity problems." Computational Optimization and Applications 5, no. 2 (1996): 155–73. http://dx.doi.org/10.1007/bf00249054.

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GUENDELMAN, E. I., and A. B. KAGANOVICH. "FERMION FAMILIES AND LONG-RANGE FORCE PROBLEMS: INTERRELATION AND RESOLUTION." International Journal of Modern Physics D 11, no. 10 (2002): 1591–95. http://dx.doi.org/10.1142/s0218271802002943.

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We study a generally covariant model with SSB of scale invariance where two measures of integration in the action enter: the standard [Formula: see text] and a new Φd4x, where Φ is a density built out of degrees of freedom independent of the metric. Under normal laboratory conditions where the fermionic matter dominates, it is found that starting from a single fermionic field we obtain exactly three different types of spin 1/2 particles which can be identified with known fermion families. It is automatically achieved that for two of them, fermion masses are constants, the energy-momentum tensor is canonical and the "fifth force" is absent. For the third family, a self-interaction appears as a result of SSB of scale invariance.

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Hooker, J. N. "Resolution and the integrality of satisfiability problems." Mathematical Programming 74, no. 1 (1996): 1–10. http://dx.doi.org/10.1007/bf02592142.

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Brown, Jennifer L., Myriam Ortiz-Padilla, and Roberto Soto-Varela. "Does Mathematical Anxiety Differ Cross-Culturally?" Journal of New Approaches in Educational Research 9, no. 1 (2020): 126–36. http://dx.doi.org/10.7821/naer.2020.1.464.

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Mathematics constitutes a foundation in the training of engineering students because their competence in this reasoning will be utilised as a tool for the resolution of real problems when inserted in the productive sector and throughout their professional life. The purpose of this causal comparative research study was to determine the difference in learning math anxiety and math evaluation anxiety for engineering students at two universities with different cultural backgrounds. The sample included 20 engineering students from the south-eastern United States and 88 engineering students from Colombia. The English and Spanish version of the AMAS, which contained nine items was divided into two subscales, used to collect data. A series of two-way factorial ANOVAs were conducted to answer the research questions that are related to cultural background, gender and the interaction effect between cultural group and gender. The results indicated there was a statistically significant difference in learning maths anxiety when comparing the two cultures.

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Lyra, Marcelo Simplício de, and Thiago Alves de Queiroz. "PROGRAMAÇÃO LINEAR: UMA CONTEXTUALIZAÇÃO A PARTIR DE SISTEMAS LINEARES." Ciência e Natura 37 (August 7, 2015): 103. http://dx.doi.org/10.5902/2179460x14491.

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http://dx.doi.org/10.5902/2179460X14491This paper presents a proposal for the introduction of linear programming in high school considering teaching methods, the teacher and student profiles, and a non-flexibilization of the curriculum. This proposal came as a result of a Stricto Sensu research, which deals with simple problems that encourage high school students to understand Linear Programming by means of a contextualization of studied topics, as resolution of linear equations. The aim is to show to these students the range of real-world problems that can be solved using Linear Programming, with the application of methods to solve systems of linear equations and the support of mathematical softwares. The proposal presented here has not been applied in classrooms yet, but it is expected that students will be able to understand in a contextualized view where linear systems can be applied, the importance of mathematical modeling and the need of to use a mathematical software to solve real big data problems.

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Tuyttens, Daniel, and Arnaud Vandaele. "Towards an efficient resolution of printing problems." Discrete Optimization 14 (November 2014): 126–46. http://dx.doi.org/10.1016/j.disopt.2014.09.001.

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Mosegaard, Klaus. "Resolution analysis of general inverse problems through inverse Monte Carlo sampling." Inverse Problems 14, no. 3 (1998): 405–26. http://dx.doi.org/10.1088/0266-5611/14/3/004.

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Cecen, Ramazan Kursat, and Cem Cetek. "A Two-Step Approach for Airborne Delay Minimization Using Pretactical Conflict Resolution in Free-Route Airspace." Journal of Advanced Transportation 2019 (April 1, 2019): 1–17. http://dx.doi.org/10.1155/2019/4805613.

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This study proposes a two-step solution approach for aircraft conflict resolution and fuel consumption due to resolution maneuver occurring in free-route airspace. This model aims to provide a mathematical basis for a decision-support system that is used during the pretactical conflict resolution in air traffic management. Mathematical model of the first step presents alternative entry points on both sides of existing sector entry points to minimize delays by directing aircraft to the most convenient entry points. The second step suggests a vector deflection maneuver to minimize extra fuel consumption caused by conflict resolution. GAMS/CPLEX solver is used to solve the first step of the model but the solution is not produced in a reasonable time. To obtain feasible solutions, genetic algorithm and tabu search algorithms are implemented in the first step. Small size test problems are generated to evaluate the metaheuristic algorithms, and results are compared with GAMS/CPLEX solver solutions. According to this comparison, both metaheuristics algorithms produce near optimal solutions in a reasonably short time. The proposed approach has made significant improvements for airborne delays and extra fuel consumption caused by aircraft conflicts resolution in large-scaled airspaces.

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Auffray, Yves, and Jean-Jacques Hebrard. "Strategies for modal resolution: Results and problems." Journal of Automated Reasoning 6, no. 1 (1990): 1–38. http://dx.doi.org/10.1007/bf00302639.

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Muñoz-Villamizar, Andrés Felipe, Jairo Rafael Montoya-Torres, and Nilson Herazo-Padilla. "Mathematical Programming Modeling and Resolution of the Location-Routing Problem in Urban Logistics." Ingenieria y Universidad 18, no. 2 (2014): 271. http://dx.doi.org/10.11144/javeriana.iyu18-2.mpmr.

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La creación de centros urbanos de distribución cerca del centro de las ciudades para consolidar las cargas es una iniciativa implementada alrededor del mundo que busca mejorar la congestión del tráfico vehicular en las calles y la calidad de vida sus habitantes. Este artículo considera el problema de localización de centros urbanos de distribución y propone un modelo exacto de programación lineal entera para la toma de decisiones a nivel estratégico, táctico y operativo. Se busca resolver, de manera integral, los problemas de localización, dimensionamiento y operación (ruteo de camiones) en estas terminales logísticas. El modelo es validado usando datos de la vida real provenientes de la ciudad de Saint-Étienne, Francia. Así mismo, se realizan comparaciones experimentales con procedimientos existentes en la literatura. Los resultados muestran la eficiencia y efectividad del modelo propuesto y su aplicabilidad en la realidad para instancias hasta de tamaño mediano.

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Ester, Pilar, Isabel Morales, Álvaro Moraleda, and Vicente Bermejo. "The Verbal Component of Mathematical Problem Solving in Bilingual Contexts by Early Elementary Schoolers." Mathematics 9, no. 5 (2021): 564. http://dx.doi.org/10.3390/math9050564.

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The main aim of the present study is to analyze the differences that may exist when students address the resolution of verbal problems in their mother tongue and in the language of instruction when these are different. We understand that knowing the type of verbal problems and their semantic structure can be helpful for students’ contextual and mathematical understanding and will allow teachers to improve instruction during the first years of elementary education in bilingual schools specialized in the area of second language acquisition as well as in CLIL (Content and Language Integrated Learning). This study shows how children, as they are acquiring a greater command of the second language, show similar effectiveness to those students who work on mathematics in their mother tongue. This transversal study was conducted on 169 bilinguals studying in international schools. The sample was made up of 80 1st grade students (39 girls, mean age of 7.1 years and 41 boys, mean age of 7.3 years); and 89 2nd grade students (38 girls, mean age 8.2 years, and 51 boys, mean age 8.2 years). The exploratory analyses let us show how 1st grade students demonstrate lower effectiveness in solving problems when they do it in a second language, compared to 2nd grade students whose effectiveness is higher in carrying them out. It is also relevant that in first graders, the largest number of errors are found in the simplest tasks as students’ effectiveness is less when they are taught in a second language, since it takes them longer to create effective resolution models. This fact will allow us to reconsider appropriate strategies and interventions when teaching mathematics in bilingual contexts.

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Feldmann, D. Matthew, Paul J. Pelzl, and Frederick W. King. "Resolution of some mathematical problems arising in the relativistic treatment of the S states of three-electron systems." Journal of Mathematical Physics 39, no. 12 (1998): 6262–75. http://dx.doi.org/10.1063/1.532637.

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Barboteu, Mikaël, and Serge Dumont. "A primal-dual active set method for solving multi-rigid-body dynamic contact problems." Mathematics and Mechanics of Solids 23, no. 3 (2017): 489–503. http://dx.doi.org/10.1177/1081286517733505.

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In this work, an active set type method is considered in order to solve a mathematical problem that describes the frictionless dynamic contact of a multi-body rigid system, the so-called nonsmooth contact dynamics (NSCD) problem. Our aim, here, is to present the local treatment of contact conditions by an active set type method dedicated to NSCD and to carry out a comparison with the various well-known methods based on the bipotential theory and the augmented Lagrangian theory. After presenting the mechanical formulation of the NSCD and the resolution of the global problem concerning the equations of motion, we focus on the local level devoted to the resolution of the contact law. Then we detail the numerical treatment of the contact conditions within the framework of the primal-dual active set strategy. Finally, numerical experiments are presented to establish the efficiency of the proposed method by considering the comparison with the other numerical methods.

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Chetverushkin, B. N., A. V. Saveliev, and V. I. Saveliev. "Kinetic algorithms for the modeling of conductive fluids flow on high performance computational systems." Доклады Академии наук 489, no. 6 (2019): 552–57. http://dx.doi.org/10.31857/s0869-56524896552-557.

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This letter presents the results of the mathematical modeling of processes of electrically conducting fluid flow dynamics for complex heat transfer systems. The study was carried out based on detailed calculations on parallel high performance computational systems on the basis of the kinetically consistent magnetogasdynamic approach, adjusted for this class of problems. The kinetically consistent algorithm adapts well to the architecture of high performance computational systems with massive parallelism and makes it possible to conduct effective research of complex heat transfer systems with high resolution. The article presents the approach, method and algorithms as well as the results of the mathematical modeling.

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Molloy, Michael, and Mohammad R. Salavatipour. "The Resolution Complexity of Random Constraint Satisfaction Problems." SIAM Journal on Computing 37, no. 3 (2007): 895–922. http://dx.doi.org/10.1137/s0097539703436485.

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Dahite, Lamiaa, Abdeslam Kadrani, and Rachid Benmansour. "Optimization models for train load and transport planning problems." MATEC Web of Conferences 200 (2018): 00010. http://dx.doi.org/10.1051/matecconf/201820000010.

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Optimization of rail transport is complex because of the industry’s multiple constraints. The transport of containers is very particular since it is characterized in addition to its specificities as a product to be loaded and transported by a strong instability of the demand. So far research in this area has dealt only with the separate treatment of the train load and transport problem. The present study focuses on optimizing resources facing unstable demand for the combined problem. Mathematical models are proposed to assign customers demands to wagons and for railcars allowance per axis depending on the available park, the locomotive capacity and the train length. An algorithm for the train load problem is also suggested. The models have been tested to measure their efficiency by comparing them to an existing train planning model and to manual assignment adopted in the rail industry. Some test results are finally reported to show how a novel formulation can simplify the resolution of a complex problem.

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Burma Saparova, Roza Mamytova, Nurjamal Kurbanbaeva, and Anvarjon Akhatjonovich Ahmedov. "A Haar Wavelet Series Solution of Heat Equation with Involution." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 86, no. 2 (2021): 50–55. http://dx.doi.org/10.37934/arfmts.86.2.5055.

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It is well known that the wavelets have widely applied to solve mathematical problems connected with the differential and integral equations. The application of the wavelets possess several important properties, such as orthogonality, compact support, exact representation of polynomials at certain degree and the ability to represent functions on different levels of resolution. In this paper, new methods based on wavelet expansion are considered to solve problems arising in approximation of the solution of heat equation with involution. We have developed new numerical techniques to solve heat equation with involution and obtained new approximative representation for solution of heat equations.

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Parra Aguilera, Marianela, Michel Enrique Gamboa Graus, Juana López Toranzo, and Regla Ywalkis Borrero Springer. "Desarrollo de la habilidad interpretar problemas químicos con cálculo." Revista Bases de la Ciencia. e-ISSN 2588-0764 1, no. 1 (2016): 51. http://dx.doi.org/10.33936/rev_bas_de_la_ciencia.v1i1.101.

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Se presenta la contextualización de la habilidad para interpretar la resolución de los problemas químicos con cálculo matemático. En tal sentido se planteó como objetivo principal proponer un procedimiento didáctico en función de contribuir al desarrollo tal habilidad en la especialidad Biología-Química de la Universidad de Las Tunas. El mismo se caracterizó por establecer relaciones entre los diferentes tipos de cálculos y los procedimientos heurísticos de solución, desde la aplicación de reglas, estrategias y principios. Se integró la realidad contextual de manera que se incrementó el protagonismo de los estudiantes en la asimilación del contenido químico por estudiar. Mediante la implementación del mismo se demostró su factibilidad y eficacia, a partir del incremento de la calidad en los análisis, mostrándose mayores niveles de independencia en los razonamientos al comparar, valorar, y generalizar las relaciones que se establecieron para aplicar la teoría química en la resolución de problemas con cálculo matemático. Palabras clave: Procedimiento, habilidades, problemas químicos, cálculo Abstract: It is introduced the contextualization of the skill to interpret from solving chemical problems with mathematical calculation. The main objective was intended to propose a teaching procedure in order to the development of such skill in the students from the career Bachelor of Education majoring in Biology-Chemistry at the University of Las Tunas. The procedure is characterized by establishing relationships between different types of calculations and heuristic solution procedures, from the application of principles, rules and strategies. The contextual reality is integrated so that the role of students in the assimilation of chemical content is increased. By implementing the procedure feasibility and effectiveness is found during the teaching-learning process, starting from the increment of the quality in the analyses, with higher levels of independence in reasoning when comparing, assessing and generalizing the relationships to apply the chemical theory in the resolution of problems with mathematical calculation. Key words: Procedure, chemical problems, mathematical calculations.

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Mannheim, Philip D. "Ghost problems from Pauli–Villars to fourth-order quantum gravity and their resolution." International Journal of Modern Physics D 29, no. 14 (2020): 2043009. http://dx.doi.org/10.1142/s0218271820430099.

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We review the history of the ghost problem in quantum field theory from the Pauli–Villars regulator theory to currently popular fourth-order derivative quantum gravity theories. While these theories all appear to have unitarity-violating ghost states with negative norm, we show that in fact these ghost states only appear because the theories are being formulated in the wrong Hilbert space. In these theories, the Hamiltonians are not Hermitian but instead possess an antilinear symmetry. Consequently, one cannot use inner products that are built out of states and their Hermitian conjugates. Rather, one must use inner products built out of states and their conjugates with respect to the antilinear symmetry, and these latter inner products are positive. In this way, one can build quantum theories of gravity in four spacetime dimensions that are unitary.

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Vosoughifar, Hamid Reza, Azam Dolatshah, and Seyed Kazem Sadat Shokouhi. "Discretization of Multidimensional Mathematical Equations of Dam Break Phenomena Using a Novel Approach of Finite Volume Method." Journal of Applied Mathematics 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/642485.

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This paper was concerned to simulate both wet and dry bed dam break problems. A high-resolution finite volume method (FVM) was employed to solve the one-dimensional (1D) and two-dimensional (2D) shallow water equations (SWEs) using an unstructured Voronoi mesh grid. In this attempt, the robust local Lax-Friedrichs (LLxF) scheme was used for the calculating of the numerical flux at cells interfaces. The model named V-Break was run under the asymmetry partial and circular dam break conditions and then verified by comparing the model outputs with the documented results. Due to a precise agreement between those output and documented results, the V-Break could be considered as a reliable method for dealing with shallow water (SW) and shock problems, especially those having discontinuities. In addition, statistical observations indicated a good conformity between the V-Break and analytical results clearly.

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Furlanetto, Virginia, and Maria Madalena Dullius. "Explorando Estratégias Diferenciadas na Resolução de Problemas Matemáticos." Jornal Internacional de Estudos em Educação Matemática 13, no. 2 (2020): 183–95. http://dx.doi.org/10.17921/2176-5634.2020v13n2p183-195.

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ResumoO ensino e aprendizagem da Matemática tem sido alvo de recorrente preocupação por parte de professores e gestores, pois os resultados alcançados pelos estudantes tem se demonstrado pouco satisfatórios no cenário nacional, como um todo, salvo algumas exceções. Na área da educação Matemática, faz-se necessário melhorar a qualidade do ensino e aprendizagem dos alunos e visando contribuir nesse aspecto, desenvolvemos uma pesquisa com o objetivo de explorar o uso de diferentes estratégias de resolução de problemas matemáticos com estudantes da Educação Básica e verificar como estas interferem nesse processo. Iniciamos o trabalho com um estudo bibliográfico sobre as estratégias de resolução de problemas e investigamos quais delas são utilizadas pelos alunos da Educação Básica. Considerando os dados coletados, desenvolvemos uma intervenção pedagógica com alunos de 7ª e 8ª séries do Ensino Fundamental, em que exploramos problemas de livros didáticos, Olimpíadas Matemáticas e outras fontes, incentivando a utilização de estratégias alternativas ao Cálculo formal e compartilhando-as por meio de discussões para validação das mesmas. Ao final deste período, foram propostas uma nova seleção de problemas e a participação em uma entrevista semiestruturada, por meio das quais foram obtidos indícios de eficácia da proposta. Os participantes passaram a utilizar com maior frequência e eficácia estratégias alternativas ao Cálculo formal e manifestaram preferência por estas formas de resolução. Apresentamos, portanto, uma possibilidade para o trabalho com resolução de problemas, capaz de auxiliar os estudantes a obterem êxito no processo, de forma autônoma.Palavras-chave: Estratégias. Resolução. Problemas. Matemática. Aprendizagem.AbstractMathematics teaching and learning have been a permanent concern for teachers and managers since the results that students achieved have not been completely satisfactory nationally. Regarding to Mathematics education improving students’ education quality and learning is essential. As a contribution a survey aiming to explore the use of different strategies for solving mathematical problems with students of Elementary School and how they interfere in the process was carried out. It was initially carried out a bibliographical study about problem resolution strategies followed by the investigation on which strategies were used by Elementary school students. Taking into consideration data collected a pedagogical intervention was developed with 7thand 8th grade students of Elementary school aiming to explore textbook problems, Mathematical Olympics and other sources, encouraging the use of alternative strategies to formal calculation and exchanging them to assure their validation. Finally a new problem selection and the participation in a semi-structured interview were proposed and the indication of an effective proposal was carried out. Participants started to use alternative strategies more frequently and more effectively. Therefore we present the possibility for problem resolution development which may help the students to autonomously succeed in the process.Keywords: Strategies. Resolution. Problems. Mathematics. Learning.

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Bunge, H. J. "Physical Versus Mathematical Aspects in Texture Analysis." Textures and Microstructures 25, no. 2-4 (1996): 71–108. http://dx.doi.org/10.1155/tsm.25.71.

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Texture deals with the orientational aspects of the crystal lattice in polycrystalline aggregates. This comprises the classical orientation distribution function ODF as well as higher-order textural quantities. The quantitative treatment of these quantities requires a good deal of mathematical methods. This concerns particularly the representation of orientation data including all kinds of symmetries, the transformation of experimentally measured raw data into the required distribution functions, as well as mathematical models of texture formation by physical processes and of the texture-property relationship.When physical facts are idealized in terms of a mathematical description or by mathematical models then the physical limits, within which these are valid, must be known. Such physical limits are, for instance, definition of crystal orientation by the crystal lattice which leads to an unsharpness relationship between location and orientation resolution as well as a relationship between statistical relevance and angular resolving power. Other physical limits are given by the “fuzzyness” of sample symmetry. A central problem is pole figure inversion i.e. the inversion of the projection equation. This problem may have a “physical” solution even if it does not have a mathematical one. Finally, in the problem of rationalizing orientation distribution functions in terms of a low number of “components”, mathematical aspects may be quite different from physical ones.In all these problems it is thus necessary to keep the mathematical aspects apart from physical aspects.

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Kocsis, Tibor, Stéphane Negny, Pascal Floquet, Xuân Meyer, and Endre Rév. "Case-Based Reasoning system for mathematical modelling options and resolution methods for production scheduling problems: Case representation, acquisition and retrieval." Computers & Industrial Engineering 77 (November 2014): 46–64. http://dx.doi.org/10.1016/j.cie.2014.09.012.

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Rakotoson, Jean Michel. "Resolution of the critical cases for problems with L1-data." Asymptotic Analysis 6, no. 3 (1993): 285–93. http://dx.doi.org/10.3233/asy-1993-6305.

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Castaneda, Alberto Martin Martinez. "GEOMETRIA E TRIGONOMETRIA: POSSIBILIDADES DE UM VÍNCULO VANTAJOSO." Ciência e Natura 37 (August 7, 2015): 608. http://dx.doi.org/10.5902/2179460x14639.

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http://dx.doi.org/10.5902/2179460X14639The relationship between geometry and trigonometry can go far beyond the classic problem involving the two areas in basic education, which is the resolution of triangles. Possibilities of using the geometry in the service of Trigonometry, or the Trigonometry in the service of Geometry, are many. There is a tendency to separate them by rigid boundaries, affecting cooperation among the methods and techniques of both areas in solving certain mathematical problems, not necessarily limited to one area, for example, the problems posed in the Olympics. In this paper we show some of these possibilities, working with examples where from a geometric result we obtain certain trigonometric results, or, from a trigonometric result we obtain some geometric result. We also present the solution of some geometric problems using both methods.

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Huang, Yunqing, and Kai Jiang. "Hill-Climbing Algorithm with a Stick for Unconstrained Optimization Problems." Advances in Applied Mathematics and Mechanics 9, no. 2 (2017): 307–23. http://dx.doi.org/10.4208/aamm.2016.m1481.

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AbstractInspired by the behavior of the blind for hill-climbing using a stick to detect a higher place by drawing a circle, we propose a heuristic direct search method to solve the unconstrained optimization problems. Instead of searching a neighbourhood of the current point as done in the traditional hill-climbing, or along specified search directions in standard direct search methods, the new algorithm searches on a surface with radius determined by the motion of the stick. The significant feature of the proposed algorithm is that it only has one parameter, the search radius, which makes the algorithm convenient in practical implementation. The developed method can shrink the search space to a closed ball, or seek for the final optimal point by adjusting search radius. Furthermore our algorithm possesses multi-resolution feature to distinguish the local and global optimum points with different search radii. Therefore, it can be used by itself or integrated with other optimization methods flexibly as a mathematical optimization technique. A series of numerical tests, including high-dimensional problems, have been well designed to demonstrate its performance.

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Breuß, M., V. Dolejší, and A. Meister. "Anisotropic adaptive resolution of boundary layers for heat conduction problems." ZAMM 86, no. 6 (2006): 450–63. http://dx.doi.org/10.1002/zamm.200510251.

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Bujanda, B., and J. C. Jorge. "Additive Runge–Kutta methods for the resolution of linear parabolic problems." Journal of Computational and Applied Mathematics 140, no. 1-2 (2002): 99–117. http://dx.doi.org/10.1016/s0377-0427(01)00475-7.

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Feldman, Moran, Ola Svensson, and Rico Zenklusen. "Online Contention Resolution Schemes with Applications to Bayesian Selection Problems." SIAM Journal on Computing 50, no. 2 (2021): 255–300. http://dx.doi.org/10.1137/18m1226130.

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Morillo Torres, Daniel, Federico Barber, and Miguel A. Salido. "A new model and metaheuristic approach for the energy-based resource-constrained scheduling problem." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 233, no. 1 (2017): 293–305. http://dx.doi.org/10.1177/0954405417711734.

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This article focuses on obtaining sustainable and energy-efficient solutions for limited resource programming problems. To this end, a model for integrating [Formula: see text] and energy consumption objectives in multi-mode resource-constrained project scheduling problems (MRCPSP-ENERGY) is proposed. In addition, a metaheuristic approach for the efficient resolution of these problems is developed. In order to assess the appropriateness of theses proposals, the well-known Project Scheduling Problem Library is extended (called PSPLIB-ENERGY) to include energy consumption to each Resource-Constrained Project Scheduling Problem instance through a realistic mathematical model. This extension provides an alternative to the current trend of numerous research works about optimization and the manufacturing field, which require the inclusion of components to reduce the environmental impact on the decision-making process. PSPLIB-ENERGY is available at http://gps.webs.upv.es/psplib-energy/ .

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Bouras, Abdelghani, Mageed A. Ghaleb, Umar S. Suryahatmaja, and Ahmed M. Salem. "The Airport Gate Assignment Problem: A Survey." Scientific World Journal 2014 (2014): 1–27. http://dx.doi.org/10.1155/2014/923859.

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The airport gate assignment problem (AGAP) is one of the most important problems operations managers face daily. Many researches have been done to solve this problem and tackle its complexity. The objective of the task is assigning each flight (aircraft) to an available gate while maximizing both conveniences to passengers and the operational efficiency of airport. This objective requires a solution that provides the ability to change and update the gate assignment data on a real time basis. In this paper, we survey the state of the art of these problems and the various methods to obtain the solution. Our survey covers both theoretical and real AGAP with the description of mathematical formulations and resolution methods such as exact algorithms, heuristic algorithms, and metaheuristic algorithms. We also provide a research trend that can inspire researchers about new problems in this area.

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Zambrano Zambrano, Dannyll Michellc, Darío Vélez, Yohanna Daza, and José Manuel Palomares. "Parametric Analysis of BFOA for Minimization Problems Using a Benchmark Function." Enfoque UTE 10, no. 3 (2019): 67–80. http://dx.doi.org/10.29019/enfoque.v10n3.490.

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This paper presents the social foraging behavior of Escherichia coli (E. Coli) bacteria based on Bacteria Foraging Optimization algorithms (BFOA) to find optimization and distributed control values. The search strategy for E. coli is very complex to express and the dynamics of the simulated chemotaxis stage in BFOA is analyzed with the help of a simple mathematical model. The methodology starts from a detailed analysis of the parameters of bacterial swimming and tumbling (C) and the probability of elimination and dispersion (Ped), then an adaptive variant of BFOA is proposed, in which the size of the chemotherapeutic step is adjusted according to the current suitability of a virtual bacterium. To evaluate the performance of the algorithm in obtaining optimal values, the resolution was applied to one of the benchmark functions, in this case the Ackley minimization function, a comparative analysis of the BFOA is then performed. The simulation results have shown the validity of the optimal values (minimum or maximum) obtained on a specific function for real world problems, with a function belonging to the benchmark group of optimization functions.

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Danišová, Nina. "Digital Image Processing in the Camera System of Assembly Systems ICIM." Applied Mechanics and Materials 474 (January 2014): 173–78. http://dx.doi.org/10.4028/www.scientific.net/amm.474.173.

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In this contribution are designed complex methods of image processing as (binarization image, tresholding, edge detection) with specific method selection, which is used in the camera system of assembly process. The contribution proffers of problems resolution, which are present by assembly components scanning. These components are assembled in the system ICIM. This system is situated at the Institute of Production systems and Applied Mechanics. Assembly configuration, which is assembled in this system consists from for elements. The contribution describes mathematical function of digital image by scanning of assembly components.

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Lin, Fu-Rong, Wai-Ki Ching, and Michael K. Ng. "Preconditioning regularized least squares problems arising from high-resolution image reconstruction from low-resolution frames." Linear Algebra and its Applications 391 (November 2004): 149–68. http://dx.doi.org/10.1016/j.laa.2004.01.013.

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Matos, José A. O., and Paulo B. Vasconcelos. "Effectiveness of Floating-Point Precision on the Numerical Approximation by Spectral Methods." Mathematical and Computational Applications 26, no. 2 (2021): 42. http://dx.doi.org/10.3390/mca26020042.

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With the fast advances in computational sciences, there is a need for more accurate computations, especially in large-scale solutions of differential problems and long-term simulations. Amid the many numerical approaches to solving differential problems, including both local and global methods, spectral methods can offer greater accuracy. The downside is that spectral methods often require high-order polynomial approximations, which brings numerical instability issues to the problem resolution. In particular, large condition numbers associated with the large operational matrices, prevent stable algorithms from working within machine precision. Software-based solutions that implement arbitrary precision arithmetic are available and should be explored to obtain higher accuracy when needed, even with the higher computing time cost associated. In this work, experimental results on the computation of approximate solutions of differential problems via spectral methods are detailed with recourse to quadruple precision arithmetic. Variable precision arithmetic was used in Tau Toolbox, a mathematical software package to solve integro-differential problems via the spectral Tau method.

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SOKOLOVA, Galina A. "FUNCTIONAL MATHEMATICAL LITERACY IN PRESCHOOL CHILDHOOD: COMPETENCE-BASED APPROACH." PRIMO ASPECTU, no. 3(47) (September 15, 2021): 64–70. http://dx.doi.org/10.35211/2500-2635-2021-3-47-64-70.

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The analysis of the social and communicative conditions of maturation of young children actualizes the need for them to develop a special kind of personal qualities in the course of education, formed as a result of acquiring the ability to "think mathematically". The problem of teaching a growing personality to apply mathematical content to solving a wide range of problems is considered in the context of putting forward a new paradigm of the quality of education. According to it, the effectiveness of the functioning of the education system is established in accordance with the change of educational guidelines "From knowledge, skills, skills - to functional literacy". The practical solution to the problem of improving the quality of education, considered from the perspective of the formation of functional literacy, is due to the development of positive behavioral strategies in students in various life problem situations, the resolution of which can occur in the absence of a fully deterministic solution. The current stage of development of education encourages teachers in their professional activities to proceed from the targeted development of the students of the educational system of skills that allow them to resolve emerging problem situations on the basis of the functional literacy formed in the course of conducting an initiative research search. The problem of developing such skills is relevant at all stages of the educational development of a growing personality. The readiness of preschool teachers to develop functional mathematical literacy in their pupils deserves close attention from the system of additional professional education of teachers. The phenomenon of the lack of special developments aimed at implementing the strategy of education development on the basis of the designated paradigm directs the study to the problem of developing competently oriented tasks for the formation of functional mathematical literacy in pre-school students.

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Lupei, A. G. "Commercial accounting for thermal energy in heat sources: Problems and resolution." Measurement Techniques 47, no. 11 (2004): 1127–31. http://dx.doi.org/10.1007/s11018-005-0073-5.

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Journal articles on the topic 'Resolution of mathematical problems'

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