Solving the Forward Position Problem of an In-Parallel Planar Manipulator in the Gauss Plane

We study determining the posture of an in-parallel planar manipulator, which has three connectors composed of revolute, prismatic and revolute joints, from specified active joint variables. We construct an ideal in the field of complex numbers, and we introduce self inversive polynomials. We provide results for an in-parallel planar manipulator, which has a base and moving platform in right triangular shape. Using Sage computer algebra system, we compute its Groebner bases. We illustrate that the single variable polynomials obtained from the Groebner bases are self reciprocal.

Solving the Forward Position Problem of an In-Parallel Planar Manipulator in the Gauss Plane

We study determining the posture of an in-parallel planar manipulator, which has three connectors composed of revolute, prismatic and revolute joints, from specified active joint variables. We construct an ideal in the field of complex numbers, and we introduce self inversive polynomials. We provide results for an in-parallel planar manipulator, which has a base and moving platform in right triangular shape. Using Sage computer algebra system, we compute its Groebner bases. We illustrate that the single variable polynomials obtained from the Groebner bases are self reciprocal.

Sociological Comprehension of the Preset-Day Ukrainian Society Modernization

Introduction. Despite its widespread usage, the concept of “modernization” is not clearly defined. Concretization of its meaning depends on the researcher’s worldview position. Problem Statement. The introduction of neoliberal economic principles did not lead to the improvement of society and the growth of human well-being. It transformed Ukraine into a raw-material appendage of global capitalism and the poorest country in Europe. Purpose. To analyze public opinion on the modernization of Ukrainian society and identify the prospects for science and innovative development in Ukraine. Materials and Methods. Analysis of statistical information and scientific publications on the problems of modernization, data of the sociological monitoring of social changes in Ukrainian society and two expert surveys (scientists of the National Academy of Sciences of Ukraine and specialists on innovative development). Results. The author has proved that the transformation of Ukrainian society is not, in essence, a modernization. It is a neoliberal experiment under the guise of modernism, which rejected Ukraine from the cohort of the most industrially and scientifically developed countries to the periphery of the modern world, led to impoverishment and total despair of the majority of citizens. The author substantiates that it is impossible to modernize Ukraine and turn to innovative development within the existing neoliberal model and the oligarchic power rooting. As a result of financial genocide and the lack of state support, science in Ukraine is deprived of the opportunity to effectively perform its public functions, in particular, to be one of the decisive agents of modernization of society in the interests of all citizens. Conclusions. The specific political and ideological interests of a global capital stand behind the theory of modernization as an ideological and theoretical construct of modernity. The theory and practice of neoliberal modernization imposed on Ukraine as the main mean of reaching the path of successful socio-economic development have not lived up to the expectations and led to a chronic crisis state of the society. It requires finding another alternative model of development.

Application of Recent Developments in Deep Learning to ANN-based Automatic Berthing Systems

Previous studies on Artificial Neural Network (ANN)-based automatic berthing showed considerable increases in performance by training ANNs with a set of berthing datasets. However, the berthing performance deteriorated when an extrapolated initial position was given. To overcome the extrapolation problem and improve the training performance, recent developments in Deep Learning (DL) are adopted in this paper. Recent activation functions, weight initialization methods, input data-scaling methods, a higher number of hidden layers, and Batch Normalization (BN) are considered, and their effectiveness has been analyzed based on loss functions, berthing performance histories, and berthing trajectories. Finally, it is shown that the use of recent activation and weight initialization method results in faster training convergence and a higher number of hidden layers. This leads to a better berthing performance over the training dataset. It is found that application of the BN can overcome the extrapolated initial position problem.

The general position problem and strong resolving graphs

The general position number gp(G) of a connected graph G is the cardinality of a largest set S of vertices such that no three pairwise distinct vertices from S lie on a common geodesic. It is proved that gp(G) ≥ ω(GSR), where GSR is the strong resolving graph of G, and ω(GSR) is its clique number. That the bound is sharp is demonstrated with numerous constructions including for instance direct products of complete graphs and different families of strong products, of generalized lexicographic products, and of rooted product graphs. For the strong product it is proved that gp(G ⊠ H) ≥ gp(G)gp(H), and asked whether the equality holds for arbitrary connected graphs G and H. It is proved that the answer is in particular positive for strong products with a complete factor, for strong products of complete bipartite graphs, and for certain strong cylinders.

Reincarnation of Memory, or Portrait of Generation in the Interior of Time: “Children of the Milky Way” by Dokiia Humenna

The paper analyzes the tetralogy of novels by Dokiia Humenna “Children of the Milky Way” in the context of the postwar Ukrainian diaspora fiction. The researcher raises such issues as the genre nature, narrator’s position, problem of the relationship between the categories of time and space, and the alternative autobiography of the novel. The process of writing the novel is considered as an attempt to normalize the writer’s own traumatic experience, caused by two decades of totalitarian terror and repressions. Dokiia Humenna’s novel is regarded in the context of such genres as family chronicle and ‘novel of generations’, which was updated in Ukrainian literature of the post-war period as an attempt to overcome the threatening tendencies of the entropy. At the same time, considering the fact that the novel was written on the verge of fiction and documentaries, the researcher suggested reviewing the work in the context of testimonial literature. It is emphasized that ideas of generational consciousness and generational dimension of time shape the novel, and the concept of generation is associated with categories of ancestry, memory, trauma, and identity. The generation of Ukrainian 1920s, which Dokiia Humenna considers as her own, emerges in the novel as a complex and heterogeneous socio-cultural phenomenon, represented by historical fi gures that became symbols and signs of their time (Mykola Khvylovyi, Mykola Zerov, and others), by literary stories of their alter ego, and fictional characters, sometimes based on several real prototypes. The myth of primordialism is one of the most important in the novel. It is represented by the archetype of a hamlet, a patriarchal micromodel of Ukraine, traditional in classical Ukrainian literature. In addition, the author of the paper raised a question about the presence of the writer’s alternative autobiographies in the novel, which might be the ways of constructing her own identity.