REGULARITIES OF NUMBERS IN THE FIBONACHI TRIANGLE CONSTRUCTED ON THE DEGREE TRANSFORMATIONS OF A SQUARE THREE MEMBERS

In this paper, it is shown that the Fibonacci triangle is formed from the elements of power transformations of a quadratic trinomial. It is binary structured by domains of rows of equal lengths, in which the sum of numbers forms a sequence of certain numbers. This sequence coincides with the transformed bisection of the classical sequence of Fibonacci numbers. The paper substantiates Pascal's rule for calculating elements in the lines of a Fibonacci triangle. The general relations of two forgings of numbers in lines of a triangle of Fibonacci for arbitrary values are received

Few-Shot Relation Extraction on Ancient Chinese Documents

Traditional humanity scholars’ inefficient method of utilizing numerous unstructured data has hampered studies on ancient Chinese writings for several years. In this work, we aim to develop a relation extractor for ancient Chinese documents to automatically extract the relations by using unstructured data. To achieve this goal, we proposed a tiny ancient Chinese document relation classification (TinyACD-RC) dataset annotated by historians and contains 32 types of general relations in ShihChi (a famous Chinese history book). We also explored several methods and proposed a novel model that works well on sufficient and insufficient data scenarios, the proposed sentence encoder can simultaneously capture local and global features for a certain period. The paired attention network enhances and extracts relations between support and query instances. Experimental results show that our model achieved promising performance with scarce corpus. We also examined our model on the FewRel dataset and found that outperformed the state-of-the-art no pretraining-based models by 2.27%.

The Importance of Statebuilding: Additional Contributions from a Military Perspective

Since the early beginning, stability, prosperity and security have been core values for the members of the transatlantic community. Efforts have been made for reconciliation over human lives lost in war, to understand and to solve dramatic changes in societies, to rebuild economies after heavy losses in goods, and to repair and maintain destroyed basic infrastructure; these are still ongoing concerns that present periodical challenges for all participating states. Statebuilding approaches can be described in many theoretical ways, but in practice – based on historical experience – they can be either peaceful or very bloody. In order to realise unknown and extreme factors and to give them adequate answers there is an urgent need for a stable, reliable and effective system.The Hungarian Defence Forces has a long history in peace operations, however, the latest missions conducted, especially in the Balkans and in Afghanistan, provided lots of useful experience related to different statebuilding efforts. In this paper the authors explain the basic general relations between state and the military, in normal – or ideal – circumstances, illustrated – as a comparison – with different elements and factors in statebuilding efforts in case of extreme conditions such as war, failing states or even a hypocritical emergence of state-like entities.

Partnership without Commitments: Features of Russian-Iranian Relations in Recent Decades

The article examines the features of Soviet-Iranian and further Russian-Iranian relations, starting with the Islamic revolution in Iran in 1979 to the present. The paper reveals the main stages and events in bilateral relations with particular emphasis on bilateral cooperation on the issue of Syria and the consideration of Iran’s interests in this country, including economic ones. The author attempts to determine the grade of the achieved bilateral relations established at soviet times as confrontational, although in the very last years of the existence of the Soviet Union they began to improve. The tendency to improve and intensify relations continued after the collapse of the USSR. However, Russian-Iranian relations at the present stage, on the whole, cannot be characterized as allied. Although in the case of Syria, one can indeed observe their alliance, nevertheless, in general, relations between Russia and Iran keep far from being deep enough, and in a number of cases in recent decades there has been rivalry or even conflict between the two countries, as, for example, in the issuance of Russia’s refusal to supply Iran with air S-300 defense systems. Nevertheless, given the external pressure on both countries, along with the growing attention to traditional values, there is a certain likelihood of expanding and deepening Russian-Iranian relations to the level of allies.

Analytical treatment of the critical properties of a generalized van der Waals equation

The two-parameter van der Waals (vdW) equation of state is generalized, by adding another two parameters to the attractive term. General relations between thermodynamic functions of the generalized vdW equation and the hard sphere gas are derived. The cubic equation of the generalized vdW is solved and the critical points (P c , V c , T c ) are obtained for general k. The critical properties of the vdW real gas such as the isothermal compressibility K T , the isobaric expansion coefficient α and the isobaric heat capacity C P are calculated exactly. The temperature dependence of K T , α and C P is investigated close to the critical point on the critical isobar path P r = 1(P = P c ). Numerical calculations for K T and C P are presented above and below P r .

Transverse-Longitudinal Bending of Multilayered Concrete Rods and Steel Fiber Reinforced Concrete Rods

This paper considers the problem of transverselongitudinal bending of multilayered concrete rods with a constant cross-section under the impact of quasistatic loading and volume forces. The research is aimed to establish general relations between the distribution topology of materials in the construction and the required types of permissible operating conditions, such as permissible ultimate elastic deformations, permissible pre-destruction deformations, and maximum permissible deformations at the start of local destructions. This study demonstrates the importance of volume forces and the possibility of increasing the bearing capacity using the redistribution of materials of the investigated constructions. The given problems are solved by the Bubnov- Galerkin method. Each of the numerically calculated cases is illustrated by the graphs of the distribution of longitudinal displacement and deflections of the rods and the values of maximum and minimum deformations in each layer of the considered rods.

Light and Airy: A Simple Solution for Relativistic Quantum Acceleration Radiation

We study the quantum radiation of particle production by vacuum from an ultra-relativistic moving mirror (dynamical Casimir effect) solution that allows (possibly for the first time) analytically calculable time evolution of particle creation and an Airy particle spectral distribution. The reality of the beta Bogoliubov coefficients is responsible for the simplicity, and the mirror is asymptotically inertial at the speed of light, with finite energy production. We also discuss general relations regarding negative energy flux, the transformation to the 1-D Schrödinger equation, and the incompleteness of entanglement entropy.

Brain Functional Architecture and Human Understanding

The opening line in Aristotle’s Metaphysics asserts that “humans desire to understand”, establishing understanding as the defining characteristic of the human mind and human species. What is understanding and what role does it play in cognition, what advantages does it confer, what brain mechanisms are involved? The Webster’s Dictionary defines understanding as “apprehending general relations in a multitude of particulars.” A proposal discussed in this chapter defines understanding as a form of active inference in self-adaptive systems seeking to expand their inference domains while minimizing metabolic costs incurred in the expansions. Under the same proposal, understanding is viewed as an advanced adaptive mechanism involving self-directed construction of mental models establishing relations between domain entities. Understanding complements learning and serves to overcome the inertia of learned behavior when conditions are unfamiliar or deviate from those experienced in the past. While learning is common across all animals, understanding is unique to the human species. This chapter will unpack these notions, focusing on different facets of understanding. The proposal formulates hypotheses regarding the underlying neuronal mechanisms, attempting to assess their plausibility and reconcile them with the recent ideas and findings concerning brain functional architecture.