A new class of positive fractional 2D hybrid linear systems is introduced. The solution of the hybrid system is derived. The classical Cayley-Hamilton theorem is extended for fractional 2D hybrid systems. Necessary and sufficient conditions for the positivity are established.
The Act of July 5, 2018 on Facilitating of Preparation and Implementation of Housing and Accompanying Investments allows such investments irrespective of the existence of a local development plan or determination of use of land in the local development plan. In other words, the abovementioned investments may be implemented on land with a completely different designation according to the local development plan, as for example the mining of minerals. The location of the investment is decided by a resolution of the municipal council. If the planned location is to be situated within the boundaries of documented mineral deposits and the so-called „mining areas”, it needs, among others, to be agreed with the appropriate geological administration authority. Not taking a position within 21 days is considered as a consent. With reference to the deposits not covered by mining licenses, the Act does not indicate the premises that should be taken into consideration while providing such consent. There is a concern that this may lead to the development of the land in a way that will cause the subsequent extraction of the mineral impossible.
The article discusses the concentration of Martin Luther’s theology on the Christian existence. There are three main areas pointing to this key idea. Firstly, the description of justification of the people in the categories of freedom gained through the experience of faith, which leads to a thankful service towards one’s neighbour. Secondly, sacramental understanding of the working of God’s Word as a performative that changes the world. It defines not only the understanding of the sacraments, with the key role of Baptism as a foundation for everyday actualisation of Christian life in penance, which strives for fighting off the sinfulness of an old, sinful man, and leads to building the man’s own justice based on the alien justice of Christ, but it is also the basis for the communion of believers – the church, as well as for the orders of creation, which structure the current reality. Thirdly, the remarks on theological knowledge closed in the triad prayer–meditation–temptation and theological weight of the experience of differentiating between the Law and the Gospel.
The article is an attempt to define reduction – a phenomenological methodological device – as the beginning of philosophy. The author considers such questions as: What motivates a phenomenologist to do reduction? Can one speak of philosophy before reduction? What is the essence of reduction? To answer these questions the author refers to Edmund Husserl and Jan Patočka, and tries to show that reduction is to be understood as an unmotivated expression of philosopher’s determination to overcome evidence inherent to natural attitude. The author argues that reduction enables one to perform a conceptualization of the world as such. Finally, reduction is defined as an attempt to take thinking seriously.
The article focuses on the term “train situation” created by Vyacheslav Kuricin, which is considered a metaphor of the work of the contemporary Russian writer Elena Dolgopyat. The proper analysis of Dolgopyat’s works is preceded by an introduction in which the definition of magical realism and its history in Russia is briefl y presented. The attitude of the Russian literary scholars to this phenomenon is presented as well. Next, the meanings of the figure of train in the writer’s stories are discussed. It is noteworthy that the features of magical realism (specific space-time construction, polyphonic narrative, fantastic elements perceived as something natural) are realized in her texts often through the image of a train. In works in which this picture does not exist, we deal with the „train situation”, which boils down to the combination in the presented world of various aspects of reality, unlimited by matter. The heroes live between different dimensions of reality, and combining into one cohesive whole of various space-times, ways of existence, realistic and fantastic elements allows to see the term of Kuricin also as a metaphor of all magical realism.