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In this work, classes of algebraic and non-algebraic functions were considered [1]. In the following articles, the unacceptable adverbs of all and meramorph functions in the meaning of Picard have been studied [2,3]. The theorem on the number of unacceptable values in the meaning of Picard for algebraic functions Studied by G.Reymoundos [4,5] and proven in its own way. In this article, we study the question of the Picard theorem for algebroid meromorph functions. [ABSTRACT FROM AUTHOR]

This study aimed to describe the characteristics of the algebraic reasoning process of high school students with different cognitive stage in solving mathematical problem. Total of 37 students were given the Longeot test to classify students into the cognitive stage. This research was a descriptive study with a qualitative approach. Analysis of this research was the students' algebraic reasoning was carried out in terms of the cognitive stage. The research was conducted at one of the public high schools in West Bandung Regency. Based on the answers given by students in the Longeot test, as many as 41% of students were still in the concrete stage, and as many as 59% of students were in the formal stage. At each cognitive stage, one student is taken randomly to be given an algebraic reasoning test on the algebraic function limit. The results showed that the process of algebraic reasoning for students with a concrete cognitive stage, tended to solve problems procedurally. Meanwhile, the process of algebraic reasoning for students with a formal cognitive stage can do modelling and bring up parameters in functions but have not been able to solve the problem correctly. [ABSTRACT FROM AUTHOR]

This study aims to obtain a description about students' learning obstacles in the topic of derivative of algebraic functions viewed by students' arithmetic skill. This study used a qualitative with a case study design. Subject of the research were 20 students of 12th grade of a senior high school in Cirebon. Data was collected by using test, interview, and curriculum document. The data were analyzed using the stages of data reduction, data presentation and conclusion drawing. Based on the data analysis, the results of the research show that there are students' learning obstacles in the topic of derivative of algebraic functions which include ontogenic obstacle, didactical obstacle, and epistemological obstacle. [ABSTRACT FROM AUTHOR]

This study aims to obtain propositions related to the types and factors that affect students' justification in solving mathematical problems in the application material of algebraic function derivatives. The participants involved were 25 students. The research instrument was a test of the ability the application of algebraic function derivatives and semi- structured interview guidelines. This research is a qualitative type with a systematic grounded theory (GT) procedure design. Because this research is GT, the data were analyzed using three stages of open coding, axial coding, and selective coding with the help of the NVivo 12 plus software. The reliability test was carried out by two coders to test categories, and sub-categories with Cohen's kappa value 2' 0.65, so the coding was made reliable. In-depth interviews were conducted until saturated data were obtained. From the results of the analysis, there are propositions of students 'justification in solving problems related to five types, and three factors that affect students' justification in solving problems with derivative applications of algebraic functions including learning culture, learning resources, and classroom learning. [ABSTRACT FROM AUTHOR]

This study aims to review the worked example literature, instructional design, and its implications for facilitating retention and transfer abilities in learning derivatives of algebraic functions. The worked example is an instructional design developed by cognitive load theory (CLT). Cognitive Load Theory (CLT) suggests that students should develop instructional instruction that is customized to the student's cognitive architecture, which includes working memory and long-term memory. A worked example is an instructional instruction suggested by CLT to develop retention and transfer abilities and facilitate the limited memory capacity of workers. The use of variety allows students to gain more knowledge and experience that they can use to solve various problems. There are two types of variation that can be developed in learning: high variability and low variability. This study tries to describe the possibility of an example of a design being worked on that has high and low variability. In addition, the learning procedures in the working example strategy are also presented in this study. [ABSTRACT FROM AUTHOR]

This study aims to describe the critical thinking skills of students at SMA N 1 Karanganom Klaten in the 2020/2021 academic year. The subjects used in this study were 3 students in class XI. The technique used was purposive sampling. This research uses descriptive qualitative approach. Data collection was carried out through tests and interviews. The test given to students is in the form of description questions on the limit of algebraic function material online due to the covid-19 pandemic with indicators of interpretation, analysis, evaluation, and inference. Interpretation is to understand the problem that is shown by writing what is known or what is being asked about the questions correctly. Analysis is identifying the relationship between statements, questions and concepts shown by making a mathematical model appropriately. Evaluation is using the right strategy in solving problems, complete and correct in calculations. Inference is making conclusions correctly. The results of the tests that have been done by students showed that the students' critical thinking skills on the limit of algebraic functions were still low. Therefore, interviews were conducted with students to strengthen the data. [ABSTRACT FROM AUTHOR]

The learning that has been done so far to use conventional approaches and the concept of limits explained isn't exhaustive so the students have difficulty understanding and prove the formal definition of limits. The aims of these studies are (1) describing the steps of teaching students with problem-based learning models; (2) describing students' problem-solving abilities after experiencing problem-based learning through given assignments. The subjects in this research were 38 students of mathematics education at Sanata Dharma University. The instrument used was a student worksheet. This research method is design research where researchers design a Hypothetical Learning Trajectory. The results from this study are: (1) According to Sugiyanto, the steps to teach students by using problem-based learning models namely: a) give orientation the problem to students; b) organizing students to research; c) guiding personal or group investigations; d) develop and present results; e) analyze and check the problem-solving process. (2) The results of students' problem-solving abilities show that as many as 24 students or as much as 63.15% of students meet the group very well and 14 students or as much 36.85% of students meet the good group and problem-based learning model on problem-solving skills has very good results. [ABSTRACT FROM AUTHOR]

In this work we have compared the experimental results from the thermocline tank of STONE installation of CEA with an analytical model which considers an algebraic sigmoid as solution for the energy balance equation. The parameters of this function have been obtained by fitting its mathematical expression to the experimental temperaturetime data for different tank heights. From that fitting physical parameters like the velocity of thermocline zone inside the tank and the effective heat capacity of the storage medium could be determined. These values depend on operating conditions like superficial oil velocity and temperature range but they deviate from the theoretical ones due to the specific STONE tank design in which metallic wall shares 10 % tank volume. In this way, considering or not the tank wall in the effective heat capacity leads to 6.6 % error when predicting the thermocline zone position with the model. However, for thermocline tanks with larger volumes the effect of walls is expected to be negligible and hence the analytical model will be able to predict more accurately their performance. [ABSTRACT FROM AUTHOR]

The method of functional-voxel modeling (FVM) to build a voxel-geometric model is considered. The FVM method is based on the linear approximation of the area describing the geometric object by an algebraic function. In the process of approximation, the normalized coefficients are determined with the arguments of the obtained linear function at each point of the area. These coefficients are local geometric characteristics and are displayed using the corresponding color in the voxel space. [ABSTRACT FROM AUTHOR]

In the present paper we introduce cyclic-parallel τ-curvature tensor on (κ, μ)-contact metric manifolds. We investigate some curvature properties of these type manifolds and we obtain that these type of manifolds have cyclic-parallel Ricci tensor under some conditions. Furthermore, we get these type of manifolds are K-contact under some special cases and we obtain that M is locally isometric to the product En+1 x Sn (4) under some algebraic conditions. [ABSTRACT FROM AUTHOR]

Teacher is one of the key aspects of student's achievement. Teachers should master content material taught, how to teach it, and can interpret the students' thinking so that students easily understand the subject matter. This research was a qualitative research that aimed at describing profile of PCK's teachers in mathematics on limit algebraic functions in terms of the differences of teaching experience. Pedagogical Content Knowledge (PCK) and understanding of teachers is defined as involving the relationship between knowledge of teaching materials, how to transfer the subject matter, and the knowledge of students in mathematics on limit algebraic functions that the subject matter may be understood by students. The PCK components in this research were knowledge of subject matter, knowledge of pedagogy, and knowledge of students. Knowledge of pedagogy defines as knowledge and understanding of teachers about the planning and organization of the learning and teaching strategy of limit algebraic function. The subjects were two mathematics high school teachers who teach in class XI IPS. Data were collected through observation of learning during five meetings and interviews before and after the lesson continued with qualitative data analysis. Focus of this article was to describe novice teacher's knowledge of student in mathematics learning on limit algebraic function. Based on the results of the analysis of qualitative data the data concluded that novice teacher's knowledge of pedagogy in mathematics on limit algebraic function showed: 1) in teaching the definitions tend to identify prior knowledge of the student experience with the material to be studied, but not in the form of a problem, 2) in posing the questions tend to be monotonous non lead and dig, 3) in response to student questions preservice teachers do not take advantage of the characteristics or the potential of other students, 4) in addressing the problem of students, tend to use the drill approach and did not give illustrations easily to understand by students, 5) in teaching application concepts, tend to explain procedurally, without explaining the reasons why these steps are carried out, 6) less varied in the use of learning strategies. [ABSTRACT FROM AUTHOR]

Fundamental aspects of nonperturbative QCD dynamics which are not obvious from its classical Lagrangian, such as the emergence of a mass scale and confinement, the existence of a zero mass bound state, the appearance of universal Regge trajectories and the breaking of chiral symmetry are incorporated from the onset in an effective theory based on superconformal quantum mechanics and its embedding in a higher dimensional gravitational theory. In addition, superconformal quantum mechanics gives remarkable connections between the light meson and nucleon spectra. This new approach to hadron physics is also suitable to describe nonperturbative QCD observables based on structure functions, such as GPDs, which are not amenable to a first-principle computation. The formalism is also successful in the description of form factors, the nonperturbative behavior of the strong coupling and diffractive processes. We also discuss in this article how the framework can be extended rather successfully to the heavy-light hadron sector. [ABSTRACT FROM AUTHOR]

Teacher is one of the key aspects of student's achievement. Teachers should master content material taught, how to teach it, and can interpret the students' thinking so that students easily understand the subject matter. This research was a qualitative research that aimed at describing profile of PCK's teachers in mathematics on limit algebraic functions in terms of the differences of teaching experience. Pedagogical Content Knowledge (PCK) and understanding of teachers is defined as involving the relationship between knowledge of teaching materials, how to transfer the subject matter, and the knowledge of students in mathematics on limit algebraic functions that the subject matter may be understood by students. The PCK components in this research were knowledge of subject matter, knowledge of pedagogy, and knowledge of students. Knowledge of pedagogy defines as knowledge and understanding of teachers about the planning and organization of the learning and teaching strategy of limit algebraic function. The subjects were two mathematics high school teachers who teach in class XI IPS. Data were collected through observation of learning during five meetings and interviews before and after the lesson continued with qualitative data analysis. Focus of this article was to describe novice teacher's knowledge of student in mathematics learning on limit algebraic function. Based on the results of the analysis of qualitative data the data concluded that novice teacher's knowledge of pedagogy in mathematics on limit algebraic function showed: 1) in teaching the definitions tend to identify prior knowledge of the student experience with the material to be studied, but not in the form of a problem, 2) in posing the questions tend to be monotonous non lead and dig, 3) in response to student questions preservice teachers do not take advantage of the characteristics or the potential of other students, 4) in addressing the problem of students, tend to use the drill approach and did not give illustrations easily to understand by students, 5) in teaching application concepts, tend to explain procedurally, without explaining the reasons why these steps are carried out, 6) less varied in the use of learning strategies. [ABSTRACT FROM AUTHOR]

Our goal is to develop methods to improve the efficiency of computational models of the cochlea for applications that require the solution accurately only within a basal region of interest, specifically by decreasing the number of spatial sections needed for simulation of the problem with good accuracy.We design algebraic spatial and parametric transformations to computational models of the cochlea. These transformations are applied after the basal region of interest and allow for spatial preservation, driven by the natural characteristics of approximate spatial causality of cochlear models. The project is of foundational nature and hence the goal is to design, characterize and develop an understanding and framework rather than optimization and globalization. Our scope is as follows: designing the transformations; understanding the mechanisms by which computational load is decreased for each transformation; development of performance criteria; characterization of the results of applying each transformation to a specific physical model and discretization and solution schemes. In this manuscript, we introduce one of the proposed methods (complex spatial transformation) for a case study physical model that is a linear, passive, transmission line model in which the various abstraction layers (electric parameters, filter parameters, wave parameters) are clearer than other models. This is conducted in the frequency domain for multiple frequencies using a second order finite difference scheme for discretization and direct elimination for solving the discrete system of equations. The performance is evaluated using two developed simulative criteria for each of the transformations. In conclusion, the developed methods serve to increase efficiency of a computational traveling wave cochlear model when spatial preservation can hold, while maintaining good correspondence with the solution of interest and good accuracy, for applications in which the interest is in the solution to a model in the basal region. [ABSTRACT FROM AUTHOR]

Recent studies on quantum evolutionary problems in Demiralp's group have arrived at a stage where the construction of an expectation value formula for a given algebraic function operator depending on only position operator becomes possible. It has also been shown that this formula turns into an algebraic recursion amongst some finite number of consecutive elements in a set of expectation values of an appropriately chosen basis set over the natural number powers of the position operator as long as the function under consideration and the system Hamiltonian are both autonomous. This recursion corresponds to a denumerable infinite number of algebraic equations whose solutions can or can not be obtained analytically. This idea is not completely original. There are many recursive relations amongst the expectation values of the natural number powers of position operator. However, those recursions may not be always efficient to get the system energy values and especially the eigenstate wavefunctions. The present approach is somehow improved and generalized form of those expansions. We focus on this issue for a specific system where the Hamiltonian is defined on the coordinate of a curved space instead of the Cartesian one. [ABSTRACT FROM AUTHOR]

This proceedings paper aims to show the ef??ciency of an expectation value identity for a given algebraic function operator which is assumed to be depending pn only position operator. We show that this expectation value formula becomes enabled to determine the eigenstates of the quantum system Hamiltonian as long as it is autonomous and an appropriate basis set in position operator is used. This approach produces a denumerable in??nite recursion which may be considered as revisited but at the same time generalized form of the recursions over the natural number powers of the position operator. The content of this short paper is devoted not only to the formulation of the new method but also to show that this novel approach is capable of catching the eigenvalues and eigenfunctions for Hydrogen-like systems, beyond that, it can give a hand to us to reveal the wavefunction structure. So it has also somehow a con??rmative nature. [ABSTRACT FROM AUTHOR]

The concept of equivalence is one of the first algebraic notions introduced to students in early childhood. The future success of students in mathematics, and related subjects, is believed to rely significantly on their understanding of this basic algebraic concept. However studies have found that the operational view of the equals sign is a major obstacle in students' proper understanding of equivalence, and hinders their mathematical abilities. In this paper we report findings from part of a teaching experiment involving second-graders where students were observed developing their conceptions of equivalence. We describe the overlap of the operational view of equivalence and the relational view in two students. [ABSTRACT FROM AUTHOR]

Success in many engineering and mathematics courses is tied to well-developed calculus knowledge. Several important calculus concepts used in STEM courses include limit, first derivative, second derivative, and asymptote. In this article, undergraduate and graduate engineering and mathematics students' ability to transform an algebraic function to its geometric representation is analyzed. Participants were either enrolled or recently (two week period) completed a Numerical Methods/Analysis course during the data collection period. Video recorded and written responses to graphing a quotient function are analyzed by using Action-Process- Object-Schema (APOS) theory. Participants are asked to sketch the graph of the given quotient function after calculating its limiting values, first derivative, second derivative and asymptotes. Qualitative and quantitative results indicated Mathematics majors' higher success rate among all the participants. [ABSTRACT FROM AUTHOR]

This paper presents applications of Fitzparick functions to optimization problems. The main purpose of the present work is to introduce applications of the Fitzpatrick functions, involving their specific properties as the maximal monotonicity, or the proper, convex and lower semi-continuity, for solving optimization problems. [ABSTRACT FROM AUTHOR]

In this paper, we obtain interesting sufficient condition involving coefficient inequalities for functions belonging to the class φ([uppercase_phi_synonym],Ψ; A, B). The results obtained, for particular choices of [uppercase_phi_synonym](z) and Ψ (z), generalize various known results and also give rise to several new results. [ABSTRACT FROM AUTHOR]

The aim of this note is to present a brief state of the art of Schur analysis in the slice hyperholomorphic setting. [ABSTRACT FROM AUTHOR]

In 2005 Stakhov and Rozin introduced a new class of hyperbolic functions which is called Fibonacci hyperbolic functions. In this paper, we study q-analogue of Fibonacci hyperbolic functions. These functions can be regarded as q extensions of classical hyperbolic functions. We introduce the q-analogue of classical Golden ratio as follow [formula], n ≥ 2. Making use of this q-analogue of the Golden ratio, we defined sin Fqh(x) and cos Fqh(x) functions. We investigated some properties and gave some relationships between these functions. [ABSTRACT FROM AUTHOR]

Main purpose of this paper is to derive some new identities on the Frobenius-Euler polynomials of higher order, using the umbral algebra. [ABSTRACT FROM AUTHOR]

This paper presents the application of an adaptive radial basis function method to a computationally expensive black-box reservoir simulation model of many variables. An iterative proxy-based scheme is used to tune the control variables, distributed for finer control over a varying number of intervals covering the total simulation period, to maximize asset NPV. The method shows that large-scale simulation-based function optimization of several hundred variables is practical and effective. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the classes Tnp(λ,A,B) and Knp(λ,μ,m,A,B) and we apply to the (n,δ)-neighborhoods of functions in the class Knp(λ,μ,m,A,B). [ABSTRACT FROM AUTHOR]

In this paper, we obtain some Simpson type inequalities for functions whose second derivatives' absolute value or q-th power of them are Q-class functions. Also we give applications to numerical integration. [ABSTRACT FROM AUTHOR]

In this paper we proved some new Hadamard-type inequalities for h-convex functions. [ABSTRACT FROM AUTHOR]

In this article, we define C-symplectic chain complex. We also present a formula for the Reidemeister torsion of a C-symplectic chain complex. We apply the formula to closed manifolds. [ABSTRACT FROM AUTHOR]

In this paper, the homotopy analysis method (HAM) is used for computing an unknown time-dependent parameter in an inverse semi-linear parabolic partial differential equation and compared with the Adomian decomposition method (ADM). To show the efficiency of the new approach, test example is presented. [ABSTRACT FROM AUTHOR]

In this paper, we obtain a new general inequality involving functions of two independent variables. [ABSTRACT FROM AUTHOR]

The continuity and momentum equations of a fluid plasma component may be viewed as four scalar evolution equations for the four scalar fluid variables n(xvector ,t) (density) and u(xvector ,t) (fluid velocity), which are zeroth- and first order velocity moments of the velocity distribution function (VDF). However, the momentum equation in addition contains the gradient of the pressure p(xvector ,t), which is a second-order velocity moment for which another equation, the 'closure equation', is needed. In the present work, closure by means of the polytropic-coefficient function (PCF) is discussed which, by analogy with the well-known polytropic coefficient (also called the 'polytropic index' or 'polytropic exponent') in macroscopic thermodynamic systems, is formally defined by γ(xvector ,t) = (nDp/Dt)(pDn/Dt) = (n/p)(Dp/Dn), with D/Dt = ∂/∂t+uvector ·∂/∂xvector , which amounts to the closure equation if γ(xvector ,t) is known. In fluid problems, however, the PCF is usually unknown and hence must be assumed or guessed, but in kinetic problems it can be calculated exactly. These general concepts are first developed and then applied specifically to the basic Tonks-Langmuir (TL) model [L. Tonks and I. Langmuir, Phys. Rev. 34, 876, 1929]. It is shown for the first time that results obtained from the fluid equations closed with the correct PCF coincide with the corresponding results calculated on the basis of the exact kinetic solution [K.-U. Riemann, Phys. Plasmas 13, 063508 (2006)], but differ visibly from those obtained from the approximate fluid equations closed with the zero-pressure approximation [Riemann et al., Plasma Phys. Control. Fusion 47, 1949 (2005)]. Also, it is again confirmed that the correct PCF may be a strongly varying function of position, so that the simple constant values of γ usually assumed [K.-U. Riemann, XXVIII International Conference on Phenomena in Ionized Gases, 479 (2007)] may lead to markedly erroneous results especially near material walls. All of these findings lead us to conclude that better approximations to the PCF are needed for closing fluid equations in an appropriate manner. [ABSTRACT FROM AUTHOR]

The damped oscillations in relativistic stars generate gravitational waves that in the literature appear under the general denomination of quasi-normal modes. In this brief note we want offer some information about the use of algebraic computation to obtain the field equations and the perturbed version of them, in the context of general relativity theory, that is the framework to study gravitational waves in this work. [ABSTRACT FROM AUTHOR]

This paper presents some results concerning power-boundedness techniques of operators acting on (Qg(X))0 algebra with possible applications in flow-dynamics in cardiac field. [ABSTRACT FROM AUTHOR]

The Hartog’s type phenomena in several complex variables are best understood in term of the Dolbeault sequence. A lot of attention was paid in the last decades to its analogue in the function theory of several Clifford variables. The first operator in this resolution is the Dirac operator in several variables. The complete description is known in the stable case in dimension 4. In the nonstable case, other tools like the Penrose transform must be used, which gives an algebraic description of the resolution. The next step is an explicite analytic construction of the operators in the resolution, which is to some extent shown here. [ABSTRACT FROM AUTHOR]

In this paper we provide a new formal framework to model and analyse workflows. A workflow is the formal definition of a business process that consists in the execution of tasks in order to achieve a certain objective. In our work we describe a workflow as a graph whose vertices represent tasks and the arcs are associated to workflow transitions. Each task has associated an input/output logic operator. This logic operator can be the logical AND (•), the OR (x), or the XOR -exclusive-or—(+). Moreover, we introduce algebraic concepts in order to completely describe completely the structure of workflows. We also introduce the concept of logical termination. Finally, we provide a necessary and sufficient condition for this property to hold. [ABSTRACT FROM AUTHOR]

In this work we consider Symplectic Runge Kutta Nyström (SRKN) methods with minimum phase-lag. Also phase fitted SRKN methods are considered. We modify an existing SRKN method of Calvo and SanzSerna with five stages and fourth order. [ABSTRACT FROM AUTHOR]

In this work we consider explicit Symplectic Partitioned Runge-Kutta methods (SPRK) with five stages for problems with separable Hamiltonian. We construct a new method with constant coefficients third algebraic order and eigth phase-lag order. [ABSTRACT FROM AUTHOR]

k—out—of—n models, are one of the most useful models to calculate the reliability of complex systems like electrical and mechanical devices. In this paper, we consider a k—out—of—n : G system with identical elements. The failure rate of each element is constant. The elements are repairable and the repair rate of each element is constant. The system works when at least k elements work. The system of equations are established and sought for the parameters like MTTF in real time situation. It seems that this model can tackle more realistic situations. [ABSTRACT FROM AUTHOR]

We will develop a new zero dispersion Runge-Kutta-Nyström method, for the integration of second-order periodic initial-value problems. The new method is based on the Runge-Kutta-Nyström method with fourth algebraic order, developed by Dormand, El-Mikkawy and Prince. [ABSTRACT FROM AUTHOR]

A new family of implicit Runge-Kutta methods was introduced at ICCAM 2008 (Gent) by the present authors. This family of methods is intended to solve numerically stiff problems and DAEs. The s-stage method (for s>=3) has the following features: it is a collocation method depending on a real free parameter β, has classical convergence order 2s-3 and is strongly A-stable for β ranging in some nonempty open interval Is = (-γs,0). In addition, for β∈Is, all the collocation nodes fall in the interval [0,1]. Moreover, these methods also involve a similar computational cost as that of the corresponding counterpart in the Runge-Kutta Radau IIA family (the method having the same classical order) when solving for their stage values. However, our methods have the additional advantage of possessing a higher stage order than the respective Radau IIA counterparts. This circumstance is important when integrating stiff problems in which case most of numerical methods are affected by an order reduction. In this talk we discuss how to optimize the free parameter depending on the special features of the kind of stiff problems and DAEs to be solved. This point is highly important in order to make competitive our methods when compared with those of the Radau IIA family. [ABSTRACT FROM AUTHOR]