Density of type-dependent sets in Krull monoids with analytic structure

We describe structural and quantitative properties of type-dependent sets in monoids with suitable analytic structure, including simple analytic monoids, introduced by Kaczorowski (Semigroup Forum 94:532–555, 2017. 10.1007/s00233-016-9778-9), and formations, as defined by Geroldinger and Halter-Koch (Non-unique factorizations, Chapman and Hall, Boca Raton, 2006. 10.1201/9781420003208). We propose the notions of rank and degree to measure the size of a type-dependent set in structural terms. We also consider various notions of regularity of type-dependent sets, related to the analytic properties of their zeta functions, and obtain results on the counting functions of these sets.

Lexical Units with Functionalverbs for German Language Development in a Historical Context

The existance of functionalverbs is confirmed by scientists at different stages of German language development. An event whose origins are recorded in the early stages of language development is not uniwue to the German language. The fact, that the number of words in the German languagr has been increasing over the centuries confirms the tendency of its development from a synchronic to an analytic structure. In the process of diachronic language development, there are certain periods when the tendency of nominalization and use of words is more pronounced than in other sections. The development of functionalverbs into a systemic phenomenon is thought to have taken place in the XVIIIth century. They are recorded in the scientific literature and the language of governance, as well in the fiction.There was a development of the German language’s internal potential and analytical structure in the face of changed living conditions.Many factors contribute to the widespread use of functional expressions in Modern German. They are found is almost all functional styles: mostly in pfficial, scientific and press languages, as well as in fiction.

The Effect of Latent and Error Non-Normality on Measures of Fit in Structural Equation Modeling

Prior studies investigating the effects of non-normality in structural equation modeling typically induced non-normality in the indicator variables. This procedure neglects the factor analytic structure of the data, which is defined as the sum of latent variables and errors, so it is unclear whether previous results hold if the source of non-normality is considered. We conducted a Monte Carlo simulation manipulating the underlying multivariate distribution to assess the effect of the source of non-normality (latent, error, and marginal conditions with either multivariate normal or non-normal marginal distributions) on different measures of fit (empirical rejection rates for the likelihood-ratio model test statistic, the root mean square error of approximation, the standardized root mean square residual, and the comparative fit index). We considered different estimation methods (maximum likelihood, generalized least squares, and (un)modified asymptotically distribution-free), sample sizes, and the extent of non-normality in correctly specified and misspecified models to investigate their performance. The results show that all measures of fit were affected by the source of non-normality but with varying patterns for the analyzed estimation methods.

Intellectual capital on performance: a meta-analysis study enhancing a new perspective of the components

PurposeThe authors examined intellectual capital (IC) components, namely human, structural and relational capital, on firm performance (FP) and innovation performance (IP), while also examining the role of knowledge management (KM) in this context.Design/methodology/approachThe authors employed a meta-analysis using 81 studies from 2006 to 2020 using bivariate analysis, meta-analytic structure equation modeling (MASEM) and fuzzy-set qualitative comparative analysis (fsQCA) to study IC components on FP and IP.FindingsThe MASEM results show that IC affects positively on FP, but not in a significant level and affects positively and significantly on IP. The findings also reveal that the moderation effect of KM affects positively on FP but not on IP. Additionally, the fsQCA analysis shows that KM and its multidimensional role has a positive impact on FP and IP and has a potential to be consistent as a dynamic component for IC.Research limitations/implicationsThe results may be limited by different statistical biases and inverse causality issues or associated with contextualities related to the studies of the sample selected by our criteria.Practical implicationsManagers can identify the appropriate IC elements and act accordingly. The study suggests that mobilizing human, structural, relational and knowledge capital must begin from the firms' birth and continue further during firms' stages of the business.Social implicationsIC is the bridge of evolution for future societies. Knowing how its components impact all levels of corporate environment indirectly influences how societies build up their social bases and policies to fulfill new professional generations.Originality/valueBy using the MASEM and fsQCA, the authors have more detailed insights into the multidimensional context of KM in IC components on firm and innovation performance identifying configurations of intangible resources.

Celestial amplitudes from UV to IR

Celestial amplitudes represent 4D scattering of particles in boost, rather than the usual energy-momentum, eigenstates and hence are sensitive to both UV and IR physics. We show that known UV and IR properties of quantum gravity translate into powerful constraints on the analytic structure of celestial amplitudes. For example the soft UV behavior of quantum gravity is shown to imply that the exact four-particle scattering amplitude is meromorphic in the complex boost weight plane with poles confined to even integers on the negative real axis. Would-be poles on the positive real axis from UV asymptotics are shown to be erased by a flat space analog of the AdS resolution of the bulk point singularity. The residues of the poles on the negative axis are identified with operator coefficients in the IR effective action. Far along the real positive axis, the scattering is argued to grow exponentially according to the black hole area law. Exclusive amplitudes are shown to simply factorize into conformally hard and conformally soft factors. The soft factor contains all IR divergences and is given by a celestial current algebra correlator of Goldstone bosons from spontaneously broken asymptotic symmetries. The hard factor describes the scattering of hard particles together with the boost-eigenstate clouds of soft photons or gravitons required by asymptotic symmetries. These provide an IR safe $$ \mathcal{S} $$ S -matrix for the scattering of hard particles.

Two Applications of the Analytic Conformal Bootstrap: A Quick Tour Guide

We reviewed the recent developments in the study of conformal field theories in generic space time dimensions using the methods of the conformal bootstrap, in its analytic aspect. These techniques are solely based on symmetries, particularly on the analytic structure and in the associativity of the operator product expansion. We focused on two applications of the analytic conformal bootstrap: the study of the ϵ expansion of the Wilson–Fisher model via the introduction of a dispersion relation and the large N expansion of the maximally supersymmetric Super Yang–Mills theory in four dimensions.

On analytic bootstrap for interface and boundary CFT

We use analytic bootstrap techniques for a CFT with an interface or a boundary. Exploiting the analytic structure of the bulk and boundary conformal blocks we extract the CFT data. We further constrain the CFT data by applying the equation of motion to the boundary operator expansion. The method presented in this paper is general, and it is illustrated in the context of perturbative Wilson-Fisher theories. In particular, we find constraints on the OPE coefficients for the interface CFT in 4 − ϵ dimensions (upto order $$ \mathcal{O} $$ O (ϵ2)) with ϕ4-interactions in the bulk. We also compute the corresponding coefficients for the non-unitary ϕ3-theory in 6 − ϵ dimensions in the presence of a conformal boundary equipped with either Dirichlet or Neumann boundary conditions upto order $$ \mathcal{O} $$ O (ϵ), or an interface upto order $$ \mathcal{O}\left(\sqrt{\epsilon}\right) $$ O ϵ .

Liquid power: reading the infinity pool as a global semioscape

The analytic focus of this article is the highly fashionable ‘infinity pool’, treated here as a visual-material realization of the cultural politics of super-elite mobility. The article is organized around a three-step analytic structure. First, I demonstrate how the infinity pool is mediatized as a status marker, and thus circulated and normalized. Second, I pinpoint the semiotic and ideological ways the infinity pool emerges as a mediated practice. Third, I examines how the infinity pool is also remediated on Instagram and thereby broadcast anew. Throughout, I evidence my analysis with visual texts drawn from a range of commercial, situated and digital media sources. My primary objective is to show how the infinity pool, as a mediatized, mediated and remediated practice, feeds the global semioscape, that more informal, often banal plane of cultural circulation where images, ideas and aesthetic ideals seed themselves all over the place. In this way, and however frivolous or innocuous infinity pools may seem, they also spread a particularly privileged way of looking at, and being in, the world.

Revisiting the hierarchical structure of the 24 VIA character strengths: Three global dimensions may suffice to capture their essence

The Values in Action (VIA) framework maps 24 character strengths onto six more abstract virtues through a theoretical classification. However, compared to other individual difference constructs, there is little consensus about the factor-analytic structure of the VIA trait space. Applying Horn’s parallel analysis, Goldberg’s Bass-ackwards approach, and cross-country congruency analysis, we scrutinize the factor-analytic solutions-hierarchy of the 24 VIA strengths with the aim to identify one or more useful global levels of abstraction (akin to the Big Five, HEXACO/Big Six, or personality metatraits). We assessed the 24 character strengths with the psychometrically refined IPIP-VIA-R inventory in two large and heterogeneous samples from Germany and the UK (total N ≈ 2,000). Results suggested that three global dimensions suffice to capture the essence of character strengths: Level III recovered more than 50% of the total variation of the 24 character strengths in well-interpretable, global/general, cross-culturally replicable dimensions. We provisionally labeled them positivity, dependability, and mastery. Their superordinate Level-II-dimensions were reminiscent of the “Big Two” personality metatraits Dynamism and Social Self-Regulation. Our results advance the understanding of the VIA character trait space and may serve as a basis for developing scales to assess these global dimensions.