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The problem of school timetabling is a very common problem that becomes more complex over time as more and more conditions and restrictions must be met. This paper presents a mathematical model of the basic problem of scheduling. Already in that simple case it is evident that this is quite a complex problem which, with each additional condition, becomes more and more complex and having fewer solutions. Today there are numerous applications available that help with scheduling, and all are based on some mathematical method for finding optimal solutions. [ABSTRACT FROM AUTHOR]

The paper presents the investigation taken on Old Bridge in Mostar. In order to get cognitions about the seismic stability of the bridge, experimental testing was done by the ambient vibration method to define dynamic characteristics - own frequencies, mode shapes and damping coefficients. Numerical analysis of the bridge was done in Tower 3D program package at which different cases of overloads were taken in consideration. Comparing results and dynamical characteristics of the bridge obtained by experimental investigation with performed analysis of the mathematical model of the bridge we can see the compatibility. The obtained results present a qualitative base for performing further investigation of this respective monument. [ABSTRACT FROM AUTHOR]

The main objective of this paper is to review the current state-of-the-art for predicting settlements of shallow foundations in granular soils. The traditional settlement prediction methods are critically reviewed. Present settlement prediction methods generally overestimate the settlements and underestimate the allowable pressures, making the foundation designs very conservative. Some recent developments, including two deterministic methods and a probabilistic approach, are showed as they have significant potential to improve the current state-of-the-art. [ABSTRACT FROM AUTHOR]

The Web can reach its Ml potential only if the data on a website can be accessed, processed and shared; and that is why the semantic web is fully focused on establishing interoperability. This paper researches the possibility of establishing data interoperability of library and lexicographical records. The introduction provides a short overview of the basic features of the semantic web and several projects through which the library community got involved in the semantic cloud. The second part of the paper researches the possibility of applying the FRAD model on the UNIMARC authority records for the person and on the biographical entries in the Croatian Encyclopaedia (CE) of the Institute of Lexicography. The analysis resulted in building the conceptual model which could be the basis for establishing the interoperability of data records between these two communities. [ABSTRACT FROM AUTHOR]

The research of classroom context in the last two decades suggests that the context, i.e. more concrete variables of classroom processes have an important role in improving the knowledge of what and how the students learn (Turner & Meyer, 2000). A very important component of classroom context is the interaction between teacher and students. Teacher-student interaction refers to different constructs, so this paper is aimed at giving a preview of the researches related to different components of teacher-student interaction. The paper reviews different aspects of teacher-student interaction (such as communication, teaching method, classroom process management, socio-emotional relation, teaching style, etc.), theories on which they are based (e.g. The Model of teacher-student interaction, Self-Determination Theory, Experiential Learning Theory, Felder and Silverman's Learning and Teaching Styles Model), ways of measuring them, and some measurement instruments (such as Flanders' Interaction Analysis, Inventory of Classroom Management Style, Questionnaire on Teacher Interaction). This paper presents some guidelines for future research, which should examine the interrelationships of various components of classroom interactions, mediating role of student characteristics, and their complex relationships with learning outcomes. [ABSTRACT FROM AUTHOR]

The modern approach of the exploration of dynamic characteristic of elements or system of some device has been enabled by system dynamics. System dynamics is an excellent software system for studying the dynamic of the behaviour of natural, technical and societal realities i.e. system of various natures and features in which there exist relatively high analogy rate. The methodology of its work, including even the use of digital computers has shown to be an efficient mean for solving the problems: management, behaviour, sensitivity, flexibility and studying of dynamics of the behaviour of the systems of high complexity by computer simulation, in laboratory what means without danger for the realities observed. For the usage of system dynamics in the solution of complex problems, various complex knowledge from various scientific disciplines are required, but good knowledge of the nature of the problem itself, which is being analyzed. The paper has analyzed dynamic characteristic of cooling system in marine diesel engines by means of system dynamics. The cooling system of propulsion of MDE is a complex system onto which various disorders act and due to their changeable act result into the changes of working temperature of MDE. System dynamic approach in the analysis of MDE enable us to obtain the answer to the question "What if…" in other words we arrive at the solution what the reaction would be at the changes of any variable in the cooling system. The paper has shown: dynamic and static regime of work, mathematic model of the cooling system of MDE, simulation model in POWERSIM programme language and diagrams of the flows of water. [ABSTRACT FROM AUTHOR]

In recent psychology literature very few plausible conceptions of the relations between personality and health outcomes have been proposed. It goes about four dominant theory models trying to explain the processes and mechanisms lying in the core of that complex relation. The models are based on the assumptions about the existence of physiological mechanisms (stress) in the background of relations between personality and health outcomes; about the existence of close links between personality and physical health derived from equivalent constitution predisposition; about the influence of the personality on health in which the risky/useful behaviour occurs as a mediator, respectively the active choice of the milieu or health risky situations; and about the existence of a connection between the personality and the so-called patient's behaviour as one of the health outcomes. Although the researchers obviously agree that there is not only one connection between the personality and an increased risk of falling sick, the multi dimensionality and multi directivity of such relations seems rather to be a rule, whereas the majority of researches in this field still try to check if a certain feature of personality is connected to a certain illness, a part of the illness development process or certain risky factors of that illness. That is to say that the existing draft researches are not set in the way they can detect a multiple connection or causality between tested variables, which results in the absence of an integral picture of the relations between personality and health outcomes. That is why the primary suggestion of this paper would be to direct the researchers to test the proposed models, as well as to try to integrate them into one broader model which needs to be tested. A better understanding of how and why the personality influences the health and the illness, namely who gets sick and why, would make it possible to develop more efficient illness prevention programmes and health promotion. [ABSTRACT FROM AUTHOR]

The game theory represents a mathematical theory and methodology which is used for solving conflicting and partly conflicting situations in which individuals have conflicting interests. Considering situations in which two or more subjects make decisions in the conditions of interest conflict has been named the theory of game because the typical examples of such situations represent various types of social games, such as the chess, card games, sport games, etc. Even tough most of the notions used in the game theory resemble the terminology of social games, the game theory has much broader use and it is used for modeling conflicting situations in the mathematics, military strategy, politics, economics, etc. The concepts of game theory have been increasingly used in the law. The purpose of this paper is to present the game theory and show how this mathematical theory can be used for the purpose of legal decision making. The particular emphasis is placed on the prisoner's dilemma as one of the most popular and most used models of game theory and its application in selected branches of law. [ABSTRACT FROM AUTHOR]

Croatian libraries have not yet started acquiring e-books, although the interest for this new medium does exist. This paper gives an overview of the experiences with the acquisition of e-books in the libraries around the world (public and academic). Special attention is given to the models of circulation of this new medium, as well as the limitations that occur in the process. Namely, the models of borrowing/usage of e-books are strongly connected with significant limitations imposed by the publishing sector through Digital Rights Management (DRM) which affect the use and circulation of e-books. Therefore, libraries must be well acquainted with these regulations before acquiring e-books. [ABSTRACT FROM AUTHOR]