Double symmetry in Niklas Luhmann's moral communication

PurposeThis study aims to review Luhmann's theory of moral communication while focusing on symmetry conditions, in light of Armin Nassehi's criticism, to clarify issues regarding this concept. Then, Luhmann's symmetry condition is reconstructed as a concept containing double meaning via a case study in Japan. Correspondingly, interesting situations and characteristics of moral communication, such as “inflation,” the “polemogene” and ubiquity of moral communication, are interpreted more consistently.Design/methodology/approachIn today's society, moral communication may spiral out of control and even be fatal. By examining Niklas Luhmann's theory, in this paper, the author elaborates on why and how this mechanism occurs.FindingsThe author emphasizes that the suspicion pertaining to the asymmetry of communication is stressed in the case of anonymity. When an individual communicates using a moral code, it is impossible to discern whether the implications of self-bindingness are undermined or not through observations or consequences of communication and can only be questioned or confirmed through communication. However, criticizing the outburst of the masses and exchanging blame by isolating only one aspect of such a phenomenon will only be superficial.Originality/valueThis study reveals that the very condition that makes moral communication possible enables people to communicate respectfully or contemptuously with others without any special qualification. Such an analysis can serve as a theoretical underpinning for the analysis of today's phenomena.

Some results of Fekete–Szegö type for Bavrin’s families of holomorphic functions in $${\mathbb {C}}^{n}$$

In the paper there is considered a generalization of the well-known Fekete–Szegö type problem onto some Bavrin’s families of complex valued holomorphic functions of several variables. The definitions of Bavrin’s families correspond to geometric properties of univalent functions of a complex variable, like as starlikeness and convexity. First of all, there are investigated such Bavrin’s families which elements satisfy also a (j, k)-symmetry condition. As application of these results there is given the solution of a Fekete–Szegö type problem for a family of normalized biholomorphic starlike mappings in $${\mathbb {C}}^{n}.$$ C n .

Fixed Point Problems on Generalized Metric Spaces in Perov’s Sense

The aim of this paper is to give some fixed point results in generalized metric spaces in Perov’s sense. The generalized metric considered here is the w-distance with a symmetry condition. The operators satisfy a contractive weakly condition of Hardy–Rogers type. The second part of the paper is devoted to the study of the data dependence, the well-posedness, and the Ulam–Hyers stability of the fixed point problem. An example is also given to sustain the presented results.

A Complete Classification of Unitary Fusion Categories Tensor Generated by an Object of Dimension

In this paper we give a complete classification of unitary fusion categories $\otimes $-generated by an object of dimension $\frac{1 + \sqrt{5}}{2}$. We show that all such categories arise as certain wreath products of either the Fibonacci category or of the dual even part of the $2D2$ subfactor. As a by-product of proving our main classification result we produce a classification of finite unitarizable quotients of $\operatorname{Fib}^{*N}$ satisfying a certain symmetry condition.

Estimation of the products of the inner radii of domains with an additional symmetry condition

In geometric function theory of complex variable extremal problems on non-overlapping domains are well-known classic direction. A lot of such problems are reduced to determination of the maximum of product of inner radii on the system of non-overlapping domains satisfying a certain conditions. Based on these elementary estimates a number of new estimates for functions realizing a conformal mapping of a disc onto domains with certain special properties are obtained. Estimates of this type are fundamental to solving some metric problems arising when considering the cor\-res\-pon\-dence of boundaries under a conformal mapping. Also, on the basis of the results concerning various extremal properties of conformal mappings, the problem of the representability of functions of a complex variable by a uniformly convergent series of polynomials is solved. In this paper, we consider the problem on maximum the products of the inner radii of $n$ disjoint domains with an additional symmetry condition that contain points of extended complex plane and the degree $\gamma$ of the inner radius of the domain that contains the zero point. An upper estimate for the maximum of this product is found for all values of $\gamma\in(0,\,n]$. The main result of the paper generalizes and strengthens the results of the predecessors [1-4] for the case of an arbitrary arrangement of points systems on $\overline{\mathbb{C}}$. In proving the main theorem, the arguments of proving of Lemma 1 [5] and the ideas of proving Theorem 1 [3] played a key role. We also established the conditions under which the structure of points and domains is not important. The corresponding results are obtained for the case when the points are placed on the unit circle and in the case of any fixed $n$-radial system of points.

First Integrals of Two-Dimensional Dynamical Systems via Complex Lagrangian Approach

The aim of the present work is to classify the Noether-like operators of two-dimensional physical systems whose dynamics is governed by a pair of Lane-Emden equations. Considering first-order Lagrangians for these systems, we construct corresponding first integrals. It is seen that for a number of forms of arbitrary functions appearing in the set of equations, the Noether-like operators also fulfill the classical Noether symmetry condition for the pairs of real Lagrangians and the generated first integrals are reminiscent of those we obtain from the complex Lagrangian approach. We also investigate the cases in which the underlying systems are reducible via quadrature. We derive some interesting results about the nonlinear systems under consideration and also find that the algebra of Noether-like operators is Abelian in a few cases.

Multiple-Pole Solutions to a Semidiscrete Modified Korteweg-de Vries Equation

Multiple-pole soliton solutions to a semidiscrete modified Korteweg-de Vries equation are derived by virtue of the Riemann-Hilbert problem with higher-order zeros. A different symmetry condition is introduced to build the nonregular Riemann-Hilbert problem. The simplest multiple-pole soliton solution is presented. The dynamics of the solitons are studied.