47,650 Results Found

City brand strategies play an important part in building strong identities for cities and also for effective promotional campaigns. The purpose of this research is to analyze in more depth the dimensions of the City Brand Personality of Iași, as iden...

In this paper, we extend the concept of dimension of sets to some general frameworks relative to a gauge function $\phi$, where two simultaneous dimensions are introduced. Unlike the classical cases where one dimension function is introduced based on...

We have recently shown that the critical Anderson electron in $D=3$ dimensions effectively occupies a spatial region of the infrared (IR) scaling dimension $d_{\mathrm{IR}}\approx 8/3$. Here, we inquire about the dimensional substructure involved. We partition space...

We attempt to study three significant tests of general relativity in higher dimensions, both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of Einstein’s equation in higher dim...

We investigate the relationships between the weak resolution dimensions of subcategories of module categories of Artinian algebras in the present paper. Let $\Lambda$ be an Artinian algebra, and $\mathcal{A}$, $\mathcal{B}$ and $\mathcal{X}$ subcategories of $\Lambda$-modules, such that...

Market liquidity has an immediate impact on the execution of transactions in financial markets. Informed counterparty risk is often priced into market liquidity. This study investigates whether microblogging data, as a non-financial information tool,...

This paper conducts an in-depth investigation into the fundamental relationship between the fractal dimensions and convergence properties of mathematical sequences. By concentrating on three representative classes of sequences, namely, the factorial-...

Sustainability and Subjective Well-Being (SWB) are strongly interrelated domains. The way students view them and prioritize their dimensions should be factored into curricular developments in education for sustainability. Instruments developed to exa...

Let f and g be two continuous functions. In the present paper, we put forward a method to calculate the lower and upper Box dimensions of the graph of $f+g$ by classifying all the subsequences tending to zero into different sets. Using this method, we...

The $\varphi$-dimension of an algebra is a homological invariant arising from the Igusa–Todorov function. In this paper, we establish a new bound on the $\varphi$-dimensions of two algebras related by singular equivalences of the Morita-type with level.

This entry surveys the role of extra dimensions in Newtonian quantum cosmology, with particular emphasis on large, compactified, and warped dimensional geometries and their impact on the Newtonian potential in the early universe. The discussion begin...

To understand the complex phenomena in social space and monitor the dynamic changes in people’s tracks, we need more cross-scale data. However, when we retrieve data, we often ignore the impact of multi-scale, resulting in incomplete results. T...

In this paper, the city of Matera is described from a mathematical point of view. Previous papers on this subject have concentrated on seeing Matera as a fractal city. Here, this analysis is also dealt with as an extension of Euclidean dimensions. Th...

The distance $d(v_a,v_b)$ between two vertices of a simple connected graph G is the length of the shortest path between $v_a$ and $v_b$. Vertices $v_a,v_b$ of G are considered to be resolved by a vertex v if $d(v_a,v)\ne d(v_b,v)$. An ordered set $W=\{v_1,v_2,v_3,\dots ,$...

The Weierstrass function $W\left(x\right)={\displaystyle \sum _{n=1}^{\infty }}{a}^{n}cos\left(2\pi b^{n}x\right)$ is a function that is continuous everywhere and differentiable nowhere. There are many investigations on fractal dimensions of the Weierstrass function, and the investigation of its Hausdor...

Two decades ago, Ngai and Wang introduced a well-known finite type condition (FTC) on the self-similar iterated function system (IFS) with overlaps and used it to calculate the Hausdorff dimension of self-similar sets. In this paper, inspired by Ngai...

The rapid institutional and technological transformations of the 2020–2025 period have had a significant impact on teacher professional identity. Drawing on Rosa’s social acceleration thesis and Harvey’s concept of time–space...

In image classification, various techniques have been developed to enhance the performance of principal component analysis (PCA) dimension reduction techniques with guiding weighting features to remove redundant and irrelevant features. This study pr...

I discuss and review soft anomalous dimensions in QCD that describe soft-gluon threshold resummation for a wide range of hard-scattering processes. The factorization properties of the cross section in moment space and renormalization-group evolution...

This research explores the relationship between Hofstede’s femininity cultural dimension of quality of life and the masculinity cultural dimension of drive for success manifested by materialistic wealth by investigating the market value of the public...

In the present paper, we try to estimate the fractal dimensions of the linear combination of continuous functions with different fractal dimensions. Initially, a general method to calculate the lower and the upper Box dimension of the sum of two cont...

The spatial patterns and processes of cities can be described with various entropy functions. However, spatial entropy always depends on the scale of measurement, and it is difficult to find a characteristic value for it. In contrast, fractal paramet...

The nervous activity of the brain takes place in higher-dimensional functional spaces. It has been proposed that the brain might be equipped with phase spaces characterized by four spatial dimensions plus time, instead of the classical three plus tim...

Data preprocessing moves the data from raw to ready for analysis. Data resulting from fraud compromises the quality of the data and the resulting analysis. It can exist in datasets such that it goes undetected since it is included in the analysis. Th...

We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose $(4+d)$ -dimensional gravitational action contains terms proportional to quadratic curvature scalars....

Assouad-type dimensions primarily describe the local structure of sets and have attracted significant attention in recent years within the field of fractal geometry. In this paper, we derive a formula for the Assouad dimension and establish an upper...

This study investigates conditions under which information dimension provides an upper bound for Hausdorff dimension using Shannon entropy and box occupancy. We establish a sufficient entropic condition and introduce the asymptotic entropic quotient,...

Let A and B be rings, U a $(B,A)$-bimodule, and $T=\left(\begin{array}{cc}A& 0\\ U& B\end{array}\right)$ the triangular matrix ring. In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are investigated. We first study how to construct w-tilting (tilting, semidua...

Let $\mathcal{C}\subseteq \mathcal{T}$ be subcategories of an abelian category $\mathcal{A}$. Under some certain conditions, we show that the $\mathcal{C}$-finitistic and $\mathcal{T}$-finitistic global dimensions of $\mathcal{A}$ are identical. Some applications are given; in particular, some known results are obtained as...

Entropy has traditionally been understood as a phenomenological principle, capturing time irreversibility in physical processes. In this work, we propose that entropy can emerge as a geometric property of higher-dimensional spacetime. Within a Kaluza...

For the simplest colored branching process, we prove an analog to the McMillan theorem and calculate the Hausdorff dimensions of random fractals defined in terms of the limit behavior of empirical measures generated by finite genetic lines. In this s...

Let G = (V, E) be a connected graph and d(x, y) be the distance between the vertices x and y in G. A set of vertices W resolves a graph G if every vertex is uniquely determined by its vector of distances to the vertices in W. A metric dimension of G...

In this study, the bedform dimensions of an alluvial bed in a unidirectional flow were experimentally investigated. A series of flume experiments was conducted; 700 sets of flume and field data were used in developing formulae for predicting the bedf...

We review a possible origin of cosmological inflation from higher $\left(D\right)$ spacetime dimensions in the context of modified gravity theory. It is demonstrated that it requires a spontaneous warped compactification of higher $\left(D\right)$ spacetim...

In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown...

Meaningful Physical Education (MPE) emphasizes six pedagogical dimensions, social interaction, enjoyment, fair challenge, motor competence, personally relevant learning, and enduring satisfaction, that contribute to students’ motor and emotiona...

The concept of sustainable development, which has emerged over the last few decades, has moved away from the global to the local level. The sustainability measurements at the global level use the triple bottom line, considering environmental, economi...

This study adopts an integrated approach to analyze the environmental, social, and governance (ESG) dimensions and their relationship with corporate value in terms of two separate hypotheses: financial performance and market value. While previous stu...

Let $(X,\rho )$ be a metric space. A subset A of X resolves X if every point $x\in X$ is uniquely identified by the distances $\rho (x,a)$ for all $a\in A$. The metric dimension of $(X,\rho )$ is the minimum integer k for which a set A of cardinality k res...

The aim of this review is to discuss the ways to obtain results based on gravity with higher derivatives in D-dimensional world. We considered the following ways: (1) reduction to scalar tensor gravity, (2) direct solution of the equations of motion,...

The research goal is to investigate whether several cross-cultural dimensions proposed in the Hofstede cultural model link international companies and their affiliations operating in Scandinavia and Baltic countries. Although cultural aspects have go...

Anthropometric dimensions can be acquired in 2D images by landmarks. Body shape variance causes low accuracy and bad robustness of landmarks extracted, and it is difficult to determine the position of axis division point when dimensions are calculate...

In this research, fractal properties of a cell wall in growing cotton fibers were studied. It was found that dependences of specific pore volume (P) and apparent density (ρ) on the scale factor, F = H/h, can be expressed by power-law equations: P...

Complex fractal dimensions, defined as poles of appropriate fractal zeta functions, describe the geometric oscillations in fractal sets. In this work, we show that the same possible complex dimensions in the geometric setting also govern the asymptot...

The present study had two main goals. The first was to analyze the differences between parenting dimensions—strictness/imposition and involvement/acceptance—in adolescents’ engagement in peer aggression as aggressors, victims, aggre...

Attempts to measure sustainability of farms are usually based on indicators of a set of sustainability dimensions. According to the literature, analyses should (but quite often do not) cover not only the level, but also the relations between the sust...

Projects are undertaken in all science, engineering, and technology fields to achieve strategic and tactical goals. It is evident from the literature that projects are becoming more complex day by day, making project complexity a domain for current r...

The study of curiosity as a construct has led to many conceptualisations, comprising of different dimensions. Due to this, various scales of curiosity have also been developed. Moreover, some researchers have conceived of curiosity as a general trait...

Recent work has shown that more research is needed in applying fractal analysis to multi-resolution remote sensing data for landscape characterization. The purpose of this study was to closely examine the impacts that spatial and spectral resolutions...

This paper investigated the surface length of roads from both horizontal and vertical perspectives using the theory of fractal dimension of surfaces and curves. Three progressive experiments were conducted. The first demonstrated the magnitude of the...