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2021 ◽  
Vol 8 (4) ◽  
pp. 435-443
Author(s):  
Marcela Lascsáková

The focus of this paper aims at comparison of two prognostic numerical models with different strategies for accuracy improvement. To verify prediction performance of proposed models, the forecasts of aluminium stock exchanges on the London Metal Exchange were carried out as numerical solution of the Cauchy initial problem for the first-order ordinary differential equation. Two techniques for accuracy improvement were utilized, replacing the initial condition value by the nearest known stock exchange and a modification of the differential equation in solved Cauchy initial problem by means of two known initial values. We dealt with an idea of how different price development affected the accuracy of proposed strategies. With regard to obtained results, it was found that the prognoses obtained by using two known initial values were more increasing or decreasing than prognoses calculated by utilizing the initial condition drift. The strategy of a changing form of the differential equation in the Cauchy initial problem can be considered slightly more accurate. Faster increased prognoses were more advantageous especially at a steep price increase and within a price increase following the price decline. A moderate increase of the prognoses determined by the initial condition drift fit reasonably well a price fluctuation and a price decline following the price increase.


2021 ◽  
Author(s):  
Andrew Olewnik ◽  
Randy Yerrick ◽  
Manoj Madabhushi ◽  
Rachith Ramaswamy

Author(s):  
Shujun Wan

This article aims at exploring the discourse moves of giving advice in the online context with an Internet travel forum as an example. The article first reviews relevant literature concerning advice and advice giving. Previous research on online advice giving is also reviewed in the following section. Then, the instrument for data collection of the present study is introduced and online messages, including problem messages and response messages are analyzed from different aspects, e.g. problem description, discursive moves in advice messages and how the initial problem writer responded to the advice-givers. The present study finally reaches to the conclusion that advice and assessment are the two most frequent advice moves in advice messages. <p> </p><p><strong> Article visualizations:</strong></p><p><img src="/-counters-/edu_01/0876/a.php" alt="Hit counter" /></p>


2021 ◽  
pp. 2150053
Author(s):  
Khaled Bahlali ◽  
Brahim Boufoussi ◽  
Soufiane Mouchtabih

We consider a system of semilinear partial differential equations (PDEs) with measurable coefficients and a nonlinear Neumann boundary condition. We then construct a sequence of penalized PDEs, which converges to our initial problem. Since the coefficients we consider may be discontinuous, we use the notion of solution in the [Formula: see text]-viscosity sense. The method we use is based on backward stochastic differential equations and their [Formula: see text]-tightness. This work is motivated by the fact that many PDEs in physics have discontinuous coefficients. As a consequence, it follows that if the uniqueness holds, then the solution can be constructed by a penalization.


Author(s):  
S. Sathyapriya

The Travelling Salesman problem is considered as a binary integer problem. For this problem, several stop variables and subtours are discussed. The stops are generated and the distance between those stops are found, consequently the graphs are drawn. Further the variables are declared and the constraints are framed. Then the initial problem is visualised along with the subtour constraints in order to achieve the required output.


Author(s):  
Jack Rueter ◽  
Mika Hämäläinen

This paper presents the current lexical, morphological, syntactic and rule-based machine translation work for Erzya and Moksha that can and should be used in the development of a roadmap for Mordvin linguistic research. We seek to illustrate and outline initial problem types to be encountered in the construction of an Apertium-based shallow-transfer machine translation system for the Mordvin language forms. We indicate reference points within Mordvin Studies and other parts of Uralic studies, as a point of departure for outlining a linguistic studies with a means for measuring its own progress and developing a roadmap for further studies.


Author(s):  
Patrick Mehlitz ◽  
Alain B. Zemkoho

This paper is concerned with the derivation of first- and second-order sufficient optimality conditions for optimistic bilevel optimization problems involving smooth functions. First-order sufficient optimality conditions are obtained by estimating the tangent cone to the feasible set of the bilevel program in terms of initial problem data. This is done by exploiting several different reformulations of the hierarchical model as a single-level problem. To obtain second-order sufficient optimality conditions, we exploit the so-called value function reformulation of the bilevel optimization problem, which is then tackled with the aid of second-order directional derivatives. The resulting conditions can be stated in terms of initial problem data in several interesting situations comprising the settings where the lower level is linear or possesses strongly stable solutions.


2021 ◽  
Vol 31 (03) ◽  
pp. 2150036
Author(s):  
Fuchen Zhang ◽  
Ping Zhou ◽  
Xiusu Chen ◽  
Rui Chen ◽  
Chunlai Mu

The article is devoted to the study of the global behavior of the generalized Rabinovich system describing the process of interaction between waves in plasma. For this generalized system, we obtain the positive invariant set (ultimate bound) and globally exponential attractive set using the approach where we transform the initial problem of finding the corresponding set to the conditional extremum problem and solve this problem. Furthermore, the rate of the trajectories going from the exterior of the attractive set to the interior of the attractive set is also obtained. Numerical localization of attractor is presented. Meanwhile, the volumes of the ultimate bound set and the global exponential attractive set are obtained, respectively. The main innovation of this article lays in considering the generalized form of the Rabinovich system with [Formula: see text] and obtaining the results on the ultimate bound set and globally exponential attractive set for this general case.


Author(s):  
Christopher A. Kearney

This chapter is designed to help parents keep track of and record their child’s attendance, level of distress, and morning behavior problems. The chapter is designed to assist parents in becoming more aware of a child’s actual time in school, identify how their child’s behavior changes during the week, discover why their child is having trouble attending school, seeing whether the methods in the book are indeed working, exchange more detailed information with school officials and others, and look for signs that a school attendance problem may be recurring after the initial problem was fixed. Worksheets are provided to assist parents in these tasks and to ease communication with school officials. An introduction is given regarding different reasons why students have trouble attending school to steer parents in the right directions in the book.


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