Production economics forms a very important part of an enormous range of economic theory. Agricultural production is no exception. When evaluating the competitiveness of the multifunctional agriculture, it is necessary to use the measure of efficiency instead of productivity. The conception of the efficiency is explained and the methods for measurement are provided. The authors discuss the methods of Stochastic Frontier Approach (SFA), Free Disposal Hull (FDH) and Data Envelopment Analysis (DEA) that are particularly useful for multi-criterial evaluation of multifunctional processes. Those methods assign an efficiency score to each Decision Making Unit (DMU) based on how well it transforms a given set of inputs into outputs. Most studies have only focused on application of DEA method for assessment of the efficiency of agriculture farms. There is still a need on applications for sectors. This paper provides an examination of the applicability of DEA method to agriculture sectors efficiency measurement. By applying mathematical models, which are based on the DEA, the efficiency of agriculture in each EU country was evaluated.

Production economics forms a very important part of an enormous range of economic theory. Agricultural production is no exception. When evaluating the competitiveness of the multifunctional agriculture, it is necessary to use the measure of efficiency instead of productivity. The conception of the efficiency is explained and the methods for measurement are provided. The authors discuss the methods of Stochastic Frontier Approach (SFA), Free Disposal Hull (FDH) and Data Envelopment Analysis (DEA) that are particularly useful for multi-criterial evaluation of multifunctional processes. Those methods assign an efficiency score to each Decision Making Unit (DMU) based on how well it transforms a given set of inputs into outputs. Most studies have only focused on application of DEA method for assesment of the efficiency of agriculture farms. There is still a need on applications for sectors. This paper provides an examination of the applicability of DEA method to agriculture sectors efficiency measurement. By applying mathematical models, which are based on the DEA, the efficiency of agriculture in each EU country was evaluated.

The goal of this research is to explore sentence structures expressed by parts of speech. Due to a small amount of data, a problem of sparse data has arisen, which was solved by recording the annotated sentences and considering a “framework” of a sentence made up from a verb and a noun, which was conditionally called a code. The code of a sentence is created by changing each word of a sentence by a symbol (letter or number) that encodes one or other property of that word as a constituent of the sentence. Zipf’s law describes sentences, encoded like that, rather well. If we ‘learn’ well to identify and analyze (annotate, translate, etc.) sentences of the simplest structure, we can automatically process quite a large part of text sentences. It is possible to identify at least 17% of sentences consisting of the simplest structure.

The goal of this research is to explore sentence structures expressed by parts of speech. Due to a small amount of data, a problem of sparse data has arisen, which was solved by recording the annotated sentences and considering a “framework” of a sentence made up from a verb and a noun, which was conditionally called a code. The code of a sentence is created by changing each word of a sentence by a symbol (letter or number) that encodes one or other property of that word as a constituent of the sentence. Zipf’s law describes sentences, encoded like that, rather well. If we ‘learn’ well to identify and analyze (annotate, translate, etc.) sentences of the simplest structure, we can automatically process quite a large part of text sentences. It is possible to identify at least 17% of sentences consisting of the simplest structure.

The kinetics of plasma nitriding of CoCr alloy below temperatures of nitrides formation and mechanisms of nitrogen penetration are analyzed by proposed kinetic modeling in this article. Proposed nitrogen diffusion model is based on the trapping – detrapping (TD) model and developed taking into account the effect of the concentration dependent diffusivity of nitrogen, nitrogen adsorption on the surface of alloy and surface swelling process. The model indicates the influence of chromium atoms to nitrogen atoms diffusivity. The model consists of time and depth dependent diffusion, which is described by a partial differential equation, and it is solved by using Crank – Nicolson finite difference method. By fitting of experimental nitrogen depth profiles, it is shown that nitrogen diffusion coefficient varies with nitrogen concentration according to Einstein-Smoluchowski relation. Nitrogen depth profiles in plasma nitrided medical grade CoCr alloy (ISO 5831 – 12) at T = 400 °C for 1, 4 and 20 hours calculated on the basis of this model are in good agreement with experimental nitrogen profiles. Furthermore, the swelling process is showed and analysed, derived the dependency of swelling rate on nitriding duration – the swelling rate is inversely proportional to the square root of nitriding duration. The obtained diffusion coefficient value and the swelling process rates satisfy the experimental data form Ref. The derived model explains physical processes during plasma nitriding and allows obtaining nitrogen depth profiles for any requisite nitriding duration.

The kinetics of plasma nitriding of CoCr alloy below temperatures of nitrides formation and mechanisms of nitrogen penetration are analyzed by proposed kinetic modeling in this article. Proposed nitrogen diffusion model is based on the trapping – detrapping (TD) model and developed taking into account the effect of the concentration dependent diffusivity of nitrogen, nitrogen adsorption on the surface of alloy and surface swelling process. The model indicates the influence of chromium atoms to nitrogen atoms diffusivity. The model consists of time and depth dependent diffusion, which is described by a partial differential equation, and it is solved by using Crank – Nicolson finite difference method. By fitting of experimental nitrogen depth profiles, it is shown that nitrogen diffusion coefficient varies with nitrogen concentration according to Einstein-Smoluchowski relation. Nitrogen depth profiles in plasma nitrided medical grade CoCr alloy (ISO 5831 – 12) at T = 400 °C for 1, 4 and 20 hours calculated on the basis of this model are in good agreement with experimental nitrogen profiles. Furthermore, the swelling process is showed and analyzed, derived the dependency of swelling rate on nitriding duration – the swelling rate is inversely proportional to the square root of nitriding duration. The obtained diffusion coefficient value and the swelling process rates satisfy the experimental data form Ref. The derived model explains physical processes during plasma nitriding and allows obtaining nitrogen depth profiles for any requisite nitriding duration.

The article deals with the problem of local mobility of peasants in Vilnius Governorate in the nineteenth century. To solve the problem, statistical-demographical data from the “Memory Books” permanently issued by the Tsarist Russian government was used. Pure demographic data brings little information, unless it is properly mathematically processed. Such processing leads to the discovering of new proportions concerning inhabitants, villages and farmsteads. Such proportions are related to the administrative territorial unit under investigation and show how many people reside in a farmstead and how many farmsteads are comprised in a village. In the course of time, numbers of villages and farmsteads change, and these numbers show the numbers of people taking part in local mobility of inhabitants. The higher are changes in villages and farmsteads, the higher is mobility of inhabitants.

The article deals with the problem of local mobility of peasants in Vilnius Governorate in the nineteenth century. To solve the problem, statistical-demographical data from the “Memory Books” permanently issued by the Tsarist Russian government was used. Pure demographic data brings little information, unless it is properly mathematically processed. Such processing leads to the discovering of new proportions concerning inhabitants, villages and farmsteads. Such proportions are related to the administrative territorial unit under investigation and show how many people reside in a farmstead and how many farmsteads are comprised in a village. In the course of time, numbers of villages and farmsteads change, and these numbers show the numbers of people taking part in local mobility of inhabitants. The higher are changes in villages and farmsteads, the higher is mobility of inhabitants.

1991-2017 the Southeast coast of the Baltic Sea area, Lithuania, Latvia and Kaliningrad Region of the Russian coastal habitats was very intense, often chaotic variety of recreational facilities and areas of privatization and urbanization. These processes significantly influenced the character of the recreational landscape of Palanga, Jurmala and other resorts and coastal areas, as well as the expression of the urban structure and architecture of seaside towns, Ventspils, Liepaja, Giruliai, Melnragė, Karklė, Šventoji, Curonian Spit and other settlements. After a quarter of a century, some tendencies of the recreational environment and the evolution of the cultural landscape identity can be noticed. Recently, several projects for the improvement of recreational infrastructure and architectural environments have been implemented in Lithuania with the assistance of the European Union Structural Funds. Unfortunately, the results of the projects are not always positive. The planning of coastal settlements is often overlooked by good long-term planning experience. This article analyses the impact of changes in the quality of the Lithuanian recreational territorial system in the South-Eastern Baltic and the region’s recreational potential. Palanga resort areas dominated by architectural chaos and recreational quality of the environment tended to deteriorate; especially experts poorly assessed the central Basanavičiaus Street. The changes in cultural landscapes are influenced by a whole range of methodological and practical factors: insufficiently effective research and modelling methods, unjustified privatization of state property, huge flows of individual automobiles, and faults in the formation of recreational greenery. Based on the research of the recreational system of the coastal region of the long-term seaside, it can be concluded that in recent years the quality of the environment of many coastal zones of Lithuania has lost important qualitative components, deteriorated the quality of public spaces and increased urban and architectural chaos

1991-2017 the Southeast coast of the Baltic Sea area, Lithuania, Latvia and Kaliningrad Region of the Russian coastal habitats was very intense, often chaotic variety of recreational facilities and areas of privatization and urbanization. These processes significantly influenced the character of the recreational landscape of Palanga, Jurmala and other resorts and coastal areas, as well as the expression of the urban structure and architecture of seaside towns, Ventspils, Liepaja, Giruliai, Melnragė, Karklė, Šventoji, Curonian Spit and other settlements. After a quarter of a century, some tendencies of the recreational environment and the evolution of the cultural landscape identity can be noticed. Recently, several projects for the improvement of recreational infrastructure and architectural environments have been implemented in Lithuania with the assistance of the European Union Structural Funds. Unfortunately, the results of the projects are not always positive. The planning of coastal settlements is often overlooked by good long-term planning experience. This article analyses the impact of changes in the quality of the Lithuanian recreational territorial system in the South-Eastern Baltic and the region’s recreational potential. Palanga resort areas dominated by architectural chaos and recreational quality of the environment tended to deteriorate, especially experts poorly assessed the central Basanavičiaus street. The changes in cultural landscapes are influenced by a whole range of methodological and practical factors: insufficiently effective research and modeling methods, unjustified privatization of state property, huge flows of individual automobiles, faults in the formation of recreational greenery. Based on the research of the recreational system of the coastal region of the long-term seaside, it can be concluded that in recent years the quality of the environment of many coastal zones of Lithuania has lost important qualitative components, deteriorated the quality of public spaces and increased urban and architectural chaos.