Definition Of Different Kinds Research Articles

A REVIEW OF FRACTAL FUNCTIONS AND APPLICATIONS

In this paper, we mainly investigate continuous functions with unbounded variation on closed intervals. Given the increasing number of proposals and definitions of different kinds of functions with fractal structure in the scope of fractal functions, it is important to introduce a systematic classification and discuss elementary definitions of fractal functions. Different examples of fractal functions with certain fractal dimensions have been given. Then, we have introduced different kind of fractal function such as singular fractal function, irregular fractal function, regular fractal function and complete regular fractal function. We also introduce fractal functions of integer dimension with one and two, respectively. Other continuous and discontinuous functions with fractal structure have been given. Applications of fractal functions in interpolation, approximation and relationship between fractional calculus have been investigated. Finally, we studied fractal dimension spaces with different fractal dimensions.

THE IMPORTANCE OF INTRODUCING MODULE TESTING ONLINE AS A PEDAGOGICAL MEANS OF INCREASING THE QUALITY OF ASSESSMENT OF STUDENTS’ COMPETENCIES IN HIGHER EDUCATION ESTABLISHMENTS

The article deals with the multifaceted nature of the problem of testing, theoretical and methodological issues of control of students’educational activities in higher education as a place and essence of testing in the general monitoring system, as well as the definition of different kinds of testing in foreign language teaching process, and basic requirements for testing.
 This article considers a test system for assessing students' knowledge of the credit module system as well as the study of necessity of module online testing as a type of controlling educational and cognitive activities of students in foreign language teaching. The process of research testing from the standpoint of optimizing the quality control of the educational process in the university determines the importance of solving such issues as establishing the place and importance of testing in the general control system, determining the types of testing in foreign language teaching, disclosing basic testing requirements.
 The general provisions on test control are given, as well as the types and methods of constructing tasks and the ability to assess the level of knowledge, skills and abilities, the level of social and personal value of the acquired knowledge. The methodical approaches and experience of designing standardized tests for computer testing of professional competence of future specialists are covered. The classification of types of tests which provides their testing, selective use or active use according to a profile, possibilities and the purposes of training of a foreign language in each separately taken non-language highereducation establishments is considered. The problematic issues related to the assessment of students' knowledge in learning a foreign language are considered. The expediency of using a test form to control of students’current performance is analyzed. The method of module control, which is based on the application of test technology, is presented.
 The article analyzes scientists’views on the use of a rating system for assessing the students’academic progress. The expediency of using testing (during the current control of knowledge) and module tests with tasks of different levels of complexity (during the periodic control of knowledge) as effective methods of assessing students’ achievements; it is provided practical recommendations for their preparation and application.
 There have been developed tools for quality control of education that requires a further study of the theory and methodology of module tests.

Innovative Methodology for the Identification of the Most Suitable Additive Technology Based on Product Characteristics

This paper reports the study and development case of an innovative application of the Cloud Manufacturing paradigm. Based on the definition of an appropriate web-based application, the infrastructure is able to connect the possible client requests and the relative supply chain product/process development capabilities and then attempt to find the best available solutions. In particular, the main goal of the developed system, called AMSA (Additive Manufacturing Spare parts market Application), is the definition of a common platform to supply different kinds of services that have the following common reference points in the Additive Manufacturing Technologies (DFAM, Design For Additive Manufacturing): product development, prototypes, or small series production and reverse engineering activities to obtain Computer-Aided Design (CAD) models starting from a physical object. The definition of different kinds of services allows satisfying several client needs such as innovative product definition characterized by high performance in terms of stiffness/weight ratio, the possibility of manufacturing small series, such as in the motorsport field, and the possibility of defining CAD models for the obsolete parts for which the geometrical information is missed. The AMSA platform relies on the reconfigurable supply chain that is dynamic, and it depends on the client needs. For example, when the client requires the manufacture of a small series of a component, AMSA allows the technicians to choose the best solutions in terms of delivery time, price, and logistics. Therefore, the suppliers that contribute to the definition of the dynamic supply chain have an important role. For these reasons, the AMSA platform represents an important and innovative tool that is able to link the suppliers to the customers in the best manner in order to obtain services that are characterized by a high-performance level. Therefore, a provisional model has been implemented that allows filtering the technologies according to suitable performance indexes. A specific aspect for which AMSA can be considered unique is related with the given possibility to access Design for Additive Manufacturing Services through the Web in accordance with the possible additive manufacturing technologies.

Collective Mode Mining from Molecular Dynamics Simulations: A Comparative Approach

The evaluation of collective modes is fundamental in the analysis of molecular dynamics simulations. Several methods are available to extract that information, i.e., normal mode analysis, principal component and spectral analysis of trajectories, basically differing by the quantity considered as the nodal one (frequency, amplitude, or pattern of displacement) and leading to the definition of different kinds of collective excitations and physical spectral observables. The different views converge in the harmonic regime and/or for homo-atomic systems. However, for anharmonic and out of equilibrium dynamics, different quantities bring different information, and only their comparison can give a complete view of the system behavior. To allow such a comparative analysis, we review and compare the different approaches, applying them in diverse combinations to two examples of physical relevance: graphene and fullerene C[Formula: see text].

Auxiliary problem principles for equilibria

The auxiliary problem principle allows solving a given equilibrium problem (EP) through an equivalent auxiliary problem with better properties. The paper investigates two families of auxiliary EPs: the classical auxiliary problems, in which a regularizing term is added to the equilibrium bifunction, and the regularized Minty EPs. The conditions that ensure the equivalence of a given EP with each of these auxiliary problems are investigated exploiting parametric definitions of different kinds of convexity and monotonicity. This analysis leads to extending some known results for variational inequalities and linear EPs to the general case together with new equivalences. Stationarity and convexity properties of gap functions are investigated as well in this framework. Moreover, both new results on the existence of a unique solution and new error bounds based on gap functions with good convexity properties are obtained under weak quasimonotonicity or weak concavity assumptions.

MULTI-ROBOT SURVEILLANCE SYSTEM FOR INDOORS FIRE DETECTION: A CASE OF STUDY

AbstractIn this paper we present the application of a framework that gives the bases to model necessary behaviors and functions of robotic agents for surveillance, that can be used in the implementation of a Robotic surveillance system. The framework includes a formal definition of Surveillance, a hierarchy of alarm events, a model of the surveillance environment using a 2 dimension space tessellation, a definition of sensors and surveillance agents, a model of the interactions among the agents, and formal definitions of different kinds of surveillance patrolling. The framework is applied to a case of study for a surveillance system for Indoors Fire Detection, using a heterogeneous sensor platform. The relevant surveillance events are identified and formally defined as discrete events for the experimental case. The definition is mapped to a Petri Net that manages the events to detect possible alarm states. Experimental setup, implementation and conclusions about the case of study are shown.

A discrete method for studying indifference and order relations between fuzzy numbers

This paper proposes a generalization of the ranking function approach to fuzzy numbers, permitting the definition of different kinds of dominance conferring a degree on the order relation. Our generalization enables the subjectivity of the decisionmaker to be taken into account. Unlike the other methods for ranking fuzzy numbers, our model provides an improved indifference relation in comparison with previous models. Finally, some properties of the ranking function are described.

AQUATIC INSECTS OF PEATLANDS AND MARSHES IN CANADA: SYNTHESIS OF INFORMATION AND IDENTIFICATION OF NEEDS FOR RESEARCH

AbstractAvailable information on the insect fauna of freshwater bogs, fens, and marshes is reviewed. These habitats are extensive and important in Canada. The fauna of marshes is diverse, and appears to consist chiefly of generally distributed lentic species. The fauna of bogs has some specialized elements, but most bog species are generalists. The fauna of Canadian fens is little known, but from limited data for a few groups appears to be moderately rich. Features expected in generalist and specialist species from peatlands and marshes are summarized, and the possible roles of insects in these ecosystems are outlined. Particular needs for future research include the following: careful definition of different kinds of wetland habitats; meticulous sampling of defined habitats to distinguish residents from incidental visitors; and detailed study of the life histories and habits of individual species. Further sampling, and studies of larvae, undoubtedly will increase the numbers of insects known from Canadian peatlands and marshes. About 4000 aquatic insect species are known from Canada. So far only 22% of the species in groups for which detailed information is available have been reported to occur in marshes, and only half as many in peatlands, even though some of the recorded species probably do not breed in all of the habitats from which they have been collected.