Problem Of Existence Research Articles

Nonclassical mythology on the cognitive problems and capabilities of myth ontology

This article is dedicated to the cognitive and epistemological peculiarities of the myth, which can be better understood relying on the principles and approaches of nonclassical science. The article discloses the key reasons for incomprehension of the myth by science, and explains the ways for its overcoming based on the broader sense of the myth. Within the framework of this paradigm, myth is viewed as a cultural universal, where mythmaking is a quality and function of consciousness. Such myth long ago has transcended the representations and formulas of classical mythology, and requires different attitude, considering the latest research (A. A. Gagaev, A. M. Lobok, V. M. Naydysh, and others). These studies indicate that modern (nonclassical) myth can be grasped only with consideration of latest discoveries in psychology, semiotics, and cognitive research, which prove that people have always been engaged in mythmaking, not just at the dawn of humanity. This means that on the agenda of scientific research of myth is the problem of existence of another nonclassical mythology and the creation of the universal theory of myth. All major elaborations of the leading theories of myth of the XX century are successfully synthesized within the universal theory of myth in accordance with the principle of mutual complementarity. This topic is increasingly relevant, and opens up new opportunities for science, fundamentally changing its perception of myth.

Theories of information societies in the context of network identity

In the modern social philosophy the problem of determining the ontology of the social reality that followed the industrial society is topical as never before. Topicality and variability of the problem resulted in creating an abundance of theoretical concept of society, which often oppose. The article uses the notions of «information», «modern», «network» societies as equal, since having different methodological and research base, these categories come from the analysis of one and the same social phenomenon: formation and development of the new type society that is different from the industrial and post-industrial societies. Such a society features the increasing role of information, knowledge and information technologies, increase in the number of people engaged in information technologies, communications and manufacture of information products and services, creation of global information space ensuring the effective informational interaction between individuals via the access to global information resources, informational products and services, which in its turn brings up the problem of personality adaptation to the altered social and cultural environments. The article discusses the theories of M. McLuhan, A. Toffler and M. Castells as theorists of post-industrial society, who consider the communication technology as a decisive factor of the process of forming this or that social economic system. The authors analyze problems of network communities existence, their influence on a human and his identity in the context of these theories.

Stability and convergence analysis of hybrid algorithms for Berinde contraction mappings and its applications

In this paper, we construct a new hybrid iteration, called SR-iteration, and prove its stability and convergence analysis for weak contraction mappings in a Banach space. We compare rate of convergence between the SR-iteration and other iterations. Moreover, we provide numerical comparisons for supporting our main theorem and apply our main result to prove existence problem of mixed type Volterra-Fredholm functional nonlinear integral equation.

A class of Langevin time-delay differential equations with general fractional orders and their applications to vibration theory

Langevin differential equations with fractional orders play a significant role due to their applications in vibration theory, viscoelasticity and electrical circuits. In this paper, we mainly study the explicit analytical representation of solutions to a class of Langevin time-delay differential equations with general fractional orders, for both homogeneous and inhomogeneous cases. First, we propose a new representation of the solution via a recently defined delayed Mittag-Leffler type function with double infinite series to homogeneous Langevin differential equation with a constant delay using the Laplace transform technique. Second, we obtain exact formulas of the solutions of the inhomogeneous Langevin type delay differential equation via the fractional analogue of the variation constants formula and apply them to vibration theory. Moreover, we prove the existence and uniqueness problem of solutions of nonlinear fractional Langevin equations with constant delay using Banach’s fixed point theorem in terms of a weighted norm with respect to exponential functions. Furthermore, the concept of stability analysis in the mean of solutions to Langevin time-delay differential equations based on the fixed point approach is proposed. Finally, an example is given to demonstrate the effectiveness of the proposed results.

Quasilinear elliptic equations with sub-natural growth terms in bounded domains

We consider the existence of positive solutions to weighted quasilinear elliptic differential equations of the type $$\begin{aligned} {\left\{ \begin{array}{ll} - \Delta _{p, w} u = \sigma u^{q} &{} \text {in }\Omega ,\\ u = 0 &{} \text {on }\partial \Omega \end{array}\right. } \end{aligned}$$ in the sub-natural growth case $$0< q < p - 1$$ , where $$\Omega $$ is a bounded domain in $${\mathbb {R}}^{n}$$ , $$\Delta _{p, w}$$ is a weighted p-Laplacian, and $$\sigma $$ is a nonnegative (locally finite) Radon measure on $$\Omega $$ . We give criteria for the existence problem. For the proof, we investigate various properties of p-superharmonic functions, especially the solvability of Dirichlet problems with infinite measure data.

Maximal L^q-Regularity for Parabolic Hamilton\u2013Jacobi Equations and Applications to Mean Field Games

In this paper we investigate maximal L^q-regularity for time-dependent viscous Hamilton–Jacobi equations with unbounded right-hand side and superlinear growth in the gradient. Our approach is based on the interplay between new integral and Hölder estimates, interpolation inequalities, and parabolic regularity for linear equations. These estimates are obtained via a duality method à la Evans. This sheds new light on the parabolic counterpart of a conjecture by P.-L. Lions on maximal regularity for Hamilton–Jacobi equations, recently addressed in the stationary framework by the authors. Finally, applications to the existence problem of classical solutions to Mean Field Games systems with unbounded local couplings are provided.

Pāvela Florenska “Ekokarte”

The introduction of the article outlines the topicality of eco-philosophy and eco-theology in rela-tion to life, nature and human existence problems. The notion of „eco-map” used in social sciences is dis-cussed as conditionally related to P. Florensky’s creative work. The main section displays three directions of his eco-philosophy: 1) general problematics (environment/culture; a man/a mask); 2) the direction rela-ted to P. Florensky as a representative of sophiology (Sophia or wisdom in a wide sense solving the relati-onal problematic of God and creation); 3) the direction characterizing the unity between his life and crea-tive work (the world of life, the asceticism/starecs’ problem). The conclusions stress the three basic traits of P. Florensky’s ecosophy: the consubstantiality of the All-Unified; the antinomic symbolism; the truthfulness of life. The research methods applied: the analysis of scientific literature; the hermeneutic analysis of P. Florensky’s texts.

РЕНОВАЦИЯ ИСТОРИЧЕСКИХ ЛАВОК И МАГАЗИНОВ САНКТ-ПЕТЕРБУРГА

The types of historical shops of St. Petersburg are considered. Prototypes of the first small stores have been identified. The main periods of their development are investigated and the differences from other similar types of commercial buildings (department stores and markets) are indicated. The classification of historical stores has been developed in several directions: specialization (grocery, shoe and clothing stores, etc.), space-planning organization (individual buildings, shop windows, units of blocked buildings) and style directions (eclecticism, modernism, neoclassicism). Based on the developed classifications, options for modern adaptation and use are considered. The main problems of the modern existence of stores and the ways to solve them are identified. Domestic and foreign experience of adaptation is considered and analyzed. Examples of the most interesting and varied solutions for the modern use of historic stores are given. Conclusions are made about the relevance of the use of the buildings and premises under consideration. The main approaches to the renovation of stores have been developed, taking into account the object of conservation (the interior of the store, its specialization, the facade, the nature of the window decoration, their various combinations, the complex formation of the appearance of the shopping street). Recommendations are given on the selection of a modern function depending on the type of object. The historical and cultural value of historical stores of various types and the need for their preservation are proved.

Games in possibility capacities with payoff expressed by fuzzy integral

This paper studies non-cooperative games where players are allowed to play their mixed non-additive strategies. Expected payoffs are expressed by so-called fuzzy integrals: Choquet integral, Sugeno integral and generalizations of Sugeno integral obtained by using triangular norms. We consider the existence problem of Nash equilibrium for such games. Positive results for Sugeno integral and its generalizations are obtained. However we provide some example of a game with Choquet payoffs which have no Nash equilibrium. Such example demonstrates that fuzzy integrals based on the maximum operation are more suitable for possibility capacities than Choquet integral which is based on the addition operation.

Obstructions to the existence of compact Clifford–Klein forms for tangential symmetric spaces

For a homogeneous space [Formula: see text] of reductive type, we consider the tangential homogeneous space [Formula: see text]. In this paper, we give obstructions to the existence of compact Clifford–Klein forms for such tangential symmetric spaces and obtain new tangential symmetric spaces which do not admit compact Clifford–Klein forms. As a result, in the class of irreducible classical semisimple symmetric spaces, we have only two types of symmetric spaces which are not proved not to admit compact Clifford–Klein forms. The existence problem of compact Clifford–Klein forms for homogeneous spaces of reductive type, which was initiated by Kobayashi in 1980s, has been studied by various methods but is not completely solved yet. On the other hand, the one for tangential homogeneous spaces has been studied since 2000s and an analogous criterion was proved by Kobayashi and Yoshino. In concrete examples, further works are needed to verify Kobayashi–Yoshino’s condition by direct calculations. In this paper, some easy-to-check necessary conditions ([Formula: see text][Formula: see text]obstructions) for the existence of compact quotients in the tangential setting are given, and they are applied to the case of symmetric spaces. The conditions are related to various fields of mathematics such as associated pair of symmetric space, Calabi–Markus phenomenon, trivializability of vector bundle (parallelizability, Pontrjagin class), Hurwitz–Radon number and Pfister’s theorem (the existence problem of common zero points of polynomials of odd degree).

Problems of the measurement management systems evaluation for business entities on voluntary basis

Questions concerning evaluation and confirmation of measurement capabilities for business entities on a voluntary basis are considered.&#x0D; Existing problems in executing this kind of activity by enterprises, which are regulated by the Ministry of Economy of Ukraine (metrological centers) as well as other enterprises and organizations.&#x0D; Causes of impossibility to issue certificates on compliance of the measurement management systems with requirements of DSTU ISO 10012 as a result of providing the above-mentioned operations are determined.&#x0D; The ways of solving the determined questions for metrological centers are proposed.

"Anthropogenic Transformation of Lake Ecosystems and Existent Problems (Case Study of Lake Sevan)"

"Anthropogenic Transformation of Lake Ecosystems and Existent Problems (Case Study of Lake Sevan)"

The Holy Trinity of Geometry: Beauty, Virtue &amp; Truth

The virtue of absolute geometry is its accessibility to the ordinary human mind coupled with certain degree of intuition which is kind of connectedness of the human brain to the universal logico-mathematical machinery. In the end all the problem of existence reduces to the elementary operations within the continuum of natural numbers. Nontriviality and consistence of the system make the beauty of geometry. Geometry’s last truths prove to be written in beautiful and mnemonical aphorisms.

Existence, coexistence and uniqueness of fixed points in parallel and sequential dynamical systems over directed graphs

In this work, we solve the fixed-point existence, coexistence and uniqueness problems in the context of homogeneous parallel and sequential dynamical systems on maxterm and minterm Boolean functions over directed dependency graphs. More specifically, we give characterizations for the existence of fixed points. Likewise, we provide a sufficient condition and a necessary one for the non-coexistence of other periods in the dynamics of the system. In addition, we state a necessary and sufficient condition for the uniqueness of a fixed point, what allows us to establish a Fixed-Point Theorem in the sense of Banach for this kind of systems. Finally, we give an advance in the analysis of the number of fixed points of such systems, finding a lower bound for this number in the case of the most simplest maxterm and minterm. Numerical examples are given to show the feasibility of the results. Thus, this work completes the study of the fixed-point problems for homogeneous Boolean finite dynamical systems on maxterm and minterm functions.

Gravitating vortices with positive curvature

We give a complete solution to the existence problem for gravitating vortices with non-negative topological constant c⩾0. Our first main result builds on previous results by Yang and establishes the existence of solutions to the Einstein-Bogomol'nyi equations, corresponding to c=0, in all admissible Kähler classes. Our second main result completely solves the existence problem for c>0. Both results are proved by the continuity method and require that a GIT stability condition for an effective divisor on the Riemann sphere is satisfied. For the former, the continuity path starts from a given solution with c=0 and deforms the Kähler class. For the latter result we start from the established solution in any fixed admissible Kähler class and deform the coupling constant α towards 0. A salient feature of our argument is a new bound Sg⩾c for the curvature of gravitating vortices, which we apply to construct a limiting solution along the path via Cheeger-Gromov theory.

Some aspects of the study of international standards in the field of combating domestic violence and its impact on the criminal law policy of Ukraine

The article states that domestic violence, existing in all spheres of public life, as a result leads into the destruction of family values, violation of human and civil rights and freedoms, makes an irreparable impact on mental and physical health of victims. Therefore, since ancient times it has been a problem of human existence, and, unfortunately, it is to remain relevant nowadays. In modern social developments, counteraction of domestic violence is one of the priorities not only of internal policy of any state, but also an issue of international criminal law policy. In particular, the study of about its extension in different countries proves the international nature of this negative social phenomenon. The fact that counteraction of domestic violence has become a part of Ukraine's domestic policy to create a society free of gender-based violence, was finally affirmed on November 7, 2011, when the Ukrainian state joined the Convention on Preventing and Combating Violence against Women and Domestic Violence adopted by the Council of Europe of May 11, 2011. The most important event in the history of criminal law policy in the field of domestic violence was the adoption on December 6, 2017, of the bills «On Amendments to the Criminal and Criminal Procedure Codes of Ukraine to implement the Council of Europe' Convention on Preventing and Combating Violence against Women and Domestic Violence». As a result, on January 11, 2019, the General and Special parts of the Criminal Code of Ukraine were supplemented with a number of norms related to the scope of counteraction of this negative social phenomenon.

Infinitely Generated Gorenstein Tilting Modules

The theory of finitely generated relative (co)tilting modules has been established in the 1980s by Auslander and Solberg, and infinitely generated relative tilting modules have recently been studied by many authors in the context of Gorenstein homological algebra. In this work, we build on the theory of infinitely generated Gorenstein tilting modules by developing “Gorenstein tilting approximations” and employing these approximations to study Gorenstein tilting classes and their associated relative cotorsion pairs. As applications of our results, we discuss the problem of existence of complements to partial Gorenstein tilting modules as well as some connections between Gorenstein tilting modules and finitistic dimension conjectures.

Chavismo and Venezuelan Foreign Policy Against the United States During 2013-2019

This work desribe Chavismo as a populist movement and in making Venezuelan foreign policy directed towards the United States in the six years from 2013-2019. By using the Foreign Policy Theory which explains the function and purpose of foreign policy, it is found that Chavismo does not have much influence in making foreign policy towards the United States. The death of Hugo Chávez plus the poor economic conditions in the Maduro era, inevitably the problem of existence now plagues Chavismo. Chavismo under the government of Nicholás Maduro is in an alarming position. Where the position of this socialist movement no longer occupies a significant number as when Chávez, was still alive. The study of Chavismo in foreign policy is still possible given that Nicholás Maduro is a Chavista. Nicholás Maduro also carries out foreign policy with Chávez,s foreign policy. Sticking to the existing foreign policy, there is not much Maduro can do to maintain his power and the Bolivarian Revolution in Venezuela

Problems of the formation of Soviet-Iranian relations in the interwar period (1918 – 1939)

The article examines the complex process of the formation of bilateral relations between the RSFSR / USSR and Iran in the period between the two World Wars. The desire of the parties to establish bilateral relations on an equal, mutually beneficial basis-in accordance with the spirit and letter of the Moscow Treaty of 1921 – is revealed. There are permanent difficulties on the way of rapprochement between the two countries, caused, among other things, by the undisguised interference of England in the internal affairs of Iran. The article reveals the colonial essence of the British policy in Iran, reflected in the Anglo-Iranian treaty of 1921. The Iranian people showed growing dissatisfaction with the British dominance, demanded that the authorities put an end to it, and at the same time called on them to strengthen good-neighborly relations with the RSFSR. The paper traces the main milestones in the development of Soviet-Iranian relations after the state transition in Iran in 1921, and states positive results in bilateral cooperation in political, trade, economic and other spheres. Separately, the anti-Soviet foreign policy of the Shah’s regime at the turn of the 20-30s is traced, which caused great damage to the relations of the RSFSR with Iran. When analyzing the process of Iran’s rapprochement with Nazi Germany, it is emphasized that the pro-German course of Reza Shah Pahlavi not only created problems for the safe existence of Iran, but also, in general, threatened peace and stability in the Middle East.

The complexity of regex crosswords

In a typical regex crossword puzzle, one is given two non-empty lists 〈R1,…,Rm〉 and 〈C1,…,Cn〉 of regular expressions (regexes) over some alphabet, and the challenge is to fill in an m×n grid of characters such that the string formed by the ith row is in L(Ri) and the string formed by the jth column is in L(Cj), for all 1≤i≤m and 1≤j≤n. We consider a restriction of this puzzle where all the Ri are equal to one another and similarly the Cj. We consider a 2-player version of this puzzle, showing it to be PSPACE-complete. Using a reduction from 3SAT, we also give a new, simple proof of the known result that the existence problem of a solution for the restricted (1-player) puzzle is NP-complete. We also prove NP-completeness where all the row and column regular expressions are equal to each other.