Points In Spaces Research Articles

Association of Environmental Elements with Respondents' Behaviors in Open Spaces Using the Direct Gradient Analysis Method: A Case Study of Jining, China.

Following rapid urban development, higher demands are now being placed on urban open spaces in China, and the relationship between environmental elements and respondents’ behaviors in open spaces has become a common concern for researchers. Current research using geographic information systems has yielded macroscopic portraits of the behavioral trends and outcomes of research subjects, but evaluating their actual needs is complex. This paper proposes a new method to analyze the relationship between open spaces and respondents’ behaviors from a detailed perspective. Direct gradient analysis was employed with stratified sampling to select sample points in open spaces. Environment quality, ancillary facilities, and canal culture were selected as subjective evaluation factors. The greatest advantage of the proposed procedure is that it produces a ranking diagram, which compensates for the shortcomings of research methods that cannot directly express the actual needs related to respondents’ behaviors. From a case study in Jining, China, a location’s environmental quality and ancillary facilities were found to have the greatest influence on the behaviors of those using open spaces. Finally, strategies for improving environmental quality in open spaces are proposed.

Fixed Point and Homotopy Methods in Cone A-Metric Spaces and Application to the Existence of Solutions to Urysohn Integral Equation

The purpose of this article is to introduce an ordered implicit relation that can be used for the existence of fixed points of new contractions defined in cone A-metric spaces. We investigate a fixed-point method for proving the existence of Urysohn integral equation solutions. We prove an homotopy result by the application of obtained fixed-point theorem. The hypothesis is demonstrated with examples.

Finite 0-dimensional multiprojective schemes and their ideals

In this paper, we study finite [Formula: see text]-dimensional schemes in product of multiprojective spaces and their ideals. In particular, we describe the set of generators of the ideal defining a [Formula: see text]-dimensional scheme in the case [Formula: see text] and in the case [Formula: see text] with [Formula: see text] for all [Formula: see text]. We also check very ampleness for zero-dimensional schemes of general points in the multiprojective spaces.

Hybrid inertial algorithm for fixed point and equilibrium problems in reflexive Banach spaces

Hybrid inertial algorithm for fixed point and equilibrium problems in reflexive Banach spaces

Fixed point theorems for mappings with a contractive iterate at a point in modular metric spaces

Fixed point theorems for mappings with a contractive iterate at a point in modular metric spaces

On the fixed point spaces of some completely positive maps

In this paper, we generalize some results shown by Das and Peterson. Let [Formula: see text] be a [Formula: see text]-factor acting on [Formula: see text]. We consider certain unital normal completely positive maps on [Formula: see text] which are identity on [Formula: see text]. We investigate their fixed point spaces and obtain a rigidity result. As an application, we show some results of subfactors.

Chudnovsky’s conjecture and the stable Harbourne–Huneke containment

We investigate containment statements between symbolic and ordinary powers and bounds on the Waldschmidt constant of defining ideals of points in projective spaces. We establish the stable Harbourne conjecture for the defining ideal of a general set of points. We also prove Chudnovsky’s Conjecture and the stable version of the Harbourne–Huneke containment conjectures for a general set of sufficiently many points.

Mechanisms of ballistic performance enhancement in silica nanoparticle-treated kevlar fabric

Treating Kevlar fabric with silica nanoparticles is known to augment its mechanical properties, especially under shear deformation. Silica nanoparticle-treated Kevlar (SNK) fabric could therefore display improved ballistic performance. In this study, the ballistic performance of SNK with various percentages by weight of nanoparticle addition and number of layers is evaluated using compressed air gun experiments. A colloid-based treatment procedure is used to impregnate dry silica nanoparticles into the fabric. Addition of nanoparticles provided about 17.3% mass advantage (due to three fewer layers) for the 40 wt.% SNK vis-à-vis neat Kevlar for the non-penetrative case. SEM imaging reveals that at higher treatment levels the nanoparticles tend to agglomerate in the interstitial spaces of yarn crossover points, which helps better engage secondary yarns away from the impact location of the projectile. A semi-empirical model is developed to capture the influence of treatment level and number of layers on the kinetic energy absorbed by SNK. The flexibility of SNK is tested using a fixed cantilever test that avoids the sliding of the sample between flat plates used in standardized tests, which tends to dislodge the nanoparticles. The measured tip deflection angle decreases from 33o for the neat fabric to 19o for the 40 wt.% SNK. The flexural rigidities educed using digital image analysis range from 48.9 μNm2 for the neat fabric to 113.7 μNm2 for the 40 wt.% case. SNK could potentially enable multifunctional structural solutions in applications related to personal protective gear, military vehicle hulls and impact shielding of space structures.

Kazhdan–Lusztig conjecture via zastava spaces

Abstract We deduce the Kazhdan–Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category 𝒪 {\mathcal{O}} from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava spaces. We make similar speculations for the affine Lie algebras and 𝒲 {\mathscr{W}} -algebras.

On Coupled Best Proximity Points in Reflexive Banach Spaces

We investigated the existence and uniqueness of coupled best proximity points for some cyclic and semi-cyclic maps in a reflexive Banach space. We found sufficient conditions, ensuring the existence of coupled best proximity points in reflexive Banach spaces and some convexity types of conditions, ensuring uniqueness of the coupled best proximity points in strictly convex Banach spaces. We illustrate the results with examples and we present an application of one of the theorems in the modeling of duopoly markets, to have an existence of market equilibrium. We show that, in general, the iterative sequences can have chaotic behavior.

Diameter of homogeneous spaces: an effective account

In this paper we prove explicit estimates for the size of small lifts of points in homogeneous spaces. Our estimates are polynomially effective in the volume of the space and the injectivity radius.

Chiral exceptional point in transformation cavity.

Unlike the ideal circular whispering gallery cavities, those without mirror symmetry intrinsically support resonant modes exhibiting chirality which indicates an imbalance between clockwise and counterclockwise wave components. In extreme cases, nearly degenerate pairs of copropagating modes can be found around the chiral exceptional points (EPs) in parameter spaces. The chiral EPs have been studied in various schemes; however, most attention has been focused on the cases with piecewise constant or periodic refractive index profiles. In this Letter, we report the formation of a chiral EP in a gradient-index cavity designed by conformal transformation optics. Here, the mirror symmetry of the cavity is broken solely by its gradient index profile, and the parameter space is constructed with coordinate transformation parameters. We unveil the chirality, nonorthogonality, and complex-square-root topology near the chiral EP, which can be explained by the non-Hermitian model Hamiltonian.

Common Fixed Points of Single-Valued and Multi-Valued Mappings in S-Metric Spaces

In this paper, the notion of limit property (-Tayyab kamran, 2004-) and common limit property (-Yicheng Liu & Jun Wu & Zhixiang Li, 2005-) for singlevalued and multi-valued mappings on metric spaces are generalized to S-metric spaces. This idea is used to make some common fixed point theorems for singlevalued and multi-valued mappings by using a generalization of coincidence point in S-metric spaces. We give an example of an S-metric which is not continuous.

The Results on Coincidence and Common Fixed Points for a New Type Multivalued Mappings in b-Metric Spaces

In this paper, we obtain the results of coincidence and common fixed points in b-metric spaces. We work with a new type of multivalued quasi-contractive mapping with nonlinear comparison functions. Our results generalize and improve several recent results. Additionally, we give an application of the obtained results to dynamical systems.

Applications of 2D and 3D-Dynamic Representations of DNA/RNA Sequences for a Description of Genome Sequences of Viruses.

Biological sequences have been represented graphically through 2D and 3D-Dynamic Representations of DNA/RNA Sequences - theoretical methods for the graphical representation of the sequences developed by us previously. In these approaches, some ideas of the classical dynamics have been introduced to bioinformatics. The sequences are represented by sets of material points in 2D or 3D spaces. The distribution of the points in space is characteristic of the sequence. The numerical parameters (descriptors) characterizing the sequences correspond to the quantities typical of classical dynamics. Some applications of the theoretical methods have been briefly reviewed. 2D-dynamic graphs representing the complete genome sequences of SARS-CoV-2 are shown. It is proved that the 3D-Dynamic Representation of DNA/RNA Sequences, coupled with the random forest algorithm, classifies successfully the subtypes of influenza A virus strains.

On intriguing sets in five classes of strongly regular graphs

AbstractIn this paper, we construct intriguing sets in five classes of strongly regular graphs defined on nonisotropic points of finite classical polar spaces, and determine their intersection numbers.

Automatic Generation of Urban Road 3D Models for Pedestrian Studies from LiDAR Data

The point clouds acquired with a mobile LiDAR scanner (MLS) have high density and accuracy, which allows one to identify different elements of the road in them, as can be found in many scientific references, especially in the last decade. This study presents a methodology to characterize the urban space available for walking, by segmenting point clouds from data acquired with MLS and automatically generating impedance surfaces to be used in pedestrian accessibility studies. Common problems in the automatic segmentation of the LiDAR point cloud were corrected, achieving a very accurate segmentation of the points belonging to the ground. In addition, problems caused by occlusions caused mainly by parked vehicles and that prevent the availability of LiDAR points in spaces normally intended for pedestrian circulation, such as sidewalks, were solved in the proposed methodology. The innovation of this method lies, therefore, in the high definition of the generated 3D model of the pedestrian space to model pedestrian mobility, which allowed us to apply it in the search for shorter and safer pedestrian paths between the homes and schools of students in urban areas within the Big-Geomove project. Both the developed algorithms and the LiDAR data used are freely licensed for their use in further research.

Suzuki type fuzzy Z-contractive mappings and fixed points in fuzzy metric spaces

Suzuki type fuzzy Z-contractive mappings and fixed points in fuzzy metric spaces

Single and Multivalued Maps on Parametric Metric Spaces Endowed with an Equivalence Relation

This article presents the E -parametric metric space, which is a generalized concept of parametric metric space. After that, the discussion is concerned with the existence of fixed points of single and multivalued maps on E -parametric metric spaces satisfying some contractive inequalities defined by an auxiliary function.

Existence of Fixed Points in Fuzzy Strong b-Metric Spaces

In the present research, modern fuzzy technique is used to generalize some conventional and latest results. The objective of this paper is to construct and prove some fixed-point results in complete fuzzy strong b-metric space. Fuzzy strong b-metric (sb-metric) spaces have very useful properties such as openness of open balls whereas it is not held in general for b-metric and fuzzy b-metric spaces. Due to its properties, we have worked in these spaces. In this way, we have generalized some well-known fixed-point theorems in fuzzy version. In addition, some interesting examples are constructed to illustrate our results.