Coordinate Space Research Articles

Agricultural Technology Innovation and Food Security in China: An Empirical Study on Coupling Coordination and Its Influencing Factors

The coupling coordination of agricultural technology innovation with food security is of great significance for high-quality agricultural development. By identifying the coupling coordination relationship between the two systems and the influencing factors, this paper aims to promote the virtuous cycle of coordinated development between regional agriculture and technology, as well as accelerate the realisation of high-quality development of Chinese agriculture. Therefore, this paper explores the spatial and temporal coupling characteristics of the two using the entropy value method, coupling coordination degree model, and exploratory spatial data analysis, and it screens for important influencing factors using the grey correlation model. The main results show that ① the coupling coordination relationship between agricultural technology innovation and food security in China is at a dissonant stage, but the value of the coupling coordination degree increases from 0.2076 to 0.3437 during the period of study, and the level of coordination gradually improves. ② The degree of coupling coordination in the provincial space exhibits a distribution pattern of “high in the east and low in the west”. The areas of high value are primarily situated in the provinces of Shandong, Jiangsu, and other provinces along the southeastern coast of China, while the areas of low value are mainly located in the provinces of Qinghai, Ningxia, and other provinces in inland northwest China. ③ The Moran’s index of provincial coupling coordination is greater than 0, showing a certain positive correlation, and there is a significant pattern of spatial aggregation. ④ The correlation coefficients between the influencing factors and the degree of coupling coordination are all greater than 0.35, indicating a moderate or high correlation, but the significance of technological support capacity and food distribution security increased over time.

Relativistic Hartree-Fock model of nuclear single-particle resonances based on real stabilization method

With the development of radioactive ion beam devices along with associated nuclear experimental detection technologies, the research areas in atomic nuclei have been further expanded, illustrating many new aspects of nuclear excitation as well as the physics of exotic nuclei far from the <i>β</i>-stability line. For weakly bound nuclei, the Fermi surface may lie near the continuum, which facilitates the easy scattering of valence nucleons into the continuum to occupy the resonance state. These continuum effects are of crucial importance in explaining the unusual structure of unstable nuclei. In this work, with the real stabilization method in coordinate space, nuclear structure model for single-particle resonances is developed within the framework of the relativistic Hartree-Fock (RHF) theory. In order to extract potential single-particle resonance structures, we study the evolution of single-particle states with box size in the continuum. To avoid the instability of nuclear binding energy, the pairing correlations are not taken into account in the calculation. As an important motivation, the roles of Fock terms in determining the energy, widths and spin-orbit splitting are discussed for low-lying neutron resonance states of <inline-formula><tex-math id="M5">\begin{document}$^{120}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M5.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M5.png"/></alternatives></inline-formula>Sn. By comparing with the relativistic mean field (RMF) model, it is found that the inclusion of exchange terms in the RHF model changes the in-medium balance of nuclear interactions and the equilibrium of nuclear dynamics, which in turn affects the description of the single-particle effective potential. For several neutron resonance states in <inline-formula><tex-math id="M6">\begin{document}$^{120}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M6.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M6.png"/></alternatives></inline-formula>Sn with finite resonant width, RHF model predicts lower resonant energy and smaller widths than RMF. For the single-particle states around the continuum threshold, the featured signals of resonance can depend sensitively on the effective interactions. In addition, for the spin-partner states <inline-formula><tex-math id="M7">\begin{document}$\nu {\mathrm{i}}_{13/2}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M7.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M7.png"/></alternatives></inline-formula> and <inline-formula><tex-math id="M8">\begin{document}$\nu {\mathrm{i}}_{11/2}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M8.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="6-20231632_M8.png"/></alternatives></inline-formula> in resonance states, the effect of Fock terms on their spin-orbit splitting is analyzed. In comparison with the bound states, the wave functions of resonant spin-partner states can differ remarkably from each other, changing the effective potential and single-particle energies correspondingly. Thus, additional components in the single-particle effective potential may also contribute to the spin-orbit splitting of resonance states, aside from the spin-orbit interaction. In order to elucidate the mechanism of Fock term in single-particle resonance physics, in the subsequent study more numerical techniques that have been recently developed will be incorporated into the RHF methodology.

Automated System for Continuous Green Shoot Thinning in Vineyards

Highlights An automated green shoot thinning system was developed by integrating machine vision and mechanical systems. Mask R-CNN used for segmenting cordons at different shoot growth stages. Point cloud registration used to accurately stitch cordon trajectories for continuous thinning operation. Field and lab tests demonstrated the integrated system can efficiently automate green shoot thinning operation. Abstract. Mechanized green shoot thinning in vineyards has helped reduce labor and associated costs. However, high variability in the thinning efficiency has been observed with the current machines in non-selective thinning due to challenges faced by the operators to precisely position thinning end-effectors along the cordon trajectories. In this study, an automated green shoot thinning system is proposed for cordon-trained grapevines to enhance the precision and efficiency of mechanical thinning operation. The automated system consisted of (1) a machine vision system for estimating cordon trajectories and (2) a mechanical system to position thinning rollers along the estimated trajectories during the real-time thinning operation. The vision pipeline used a Mask R-CNN model to determine cordon profiles at different shoot growth stages and a depth image to estimate the 3D cordon trajectory. In addition, point-cloud registration estimated transformation matrices for accurately stitching adjacent cordon trajectories and generating a long map of trajectory for the thinning rollers to follow. An image processing-based calibration method was used to obtain transformation parameters that transformed the estimated trajectories from the camera coordinate space to the thinning-roller coordinate space required for trajectory following. Lab tests, conducted using simulated cordons, showed the integrated system can precisely position the thinning rollers with root mean square errors (RMSE) of 2.0 cm and 1.7 cm for vertical and lateral positions, respectively. To quantify the thinning performance of the integrated system in the field, shoot thinning efficiency (the percentage of target shoots impacted) was determined. From the field evaluation, shoot thinning efficiency of 76% and 85% were achieved for two rows of grapevines, with an overall shoot thinning efficiency of 80%. The favorable test results demonstrated that the proposed integrated system is capable of effectively automating green shoot thinning operations, which has the potential to improve shoot thinning performance in vineyards. Keywords: Automated green shoot thinning, Cordon trajectory estimation, Mask R-CNN, Vineyard canopy management.

АНАЛИЗ ОТРАСЛЕВОЙ АНИЗОТРОПИИ В МЕЖДУНАРОДНОМ МАШИНОСТРОЕНИИ

Industry anisotropy, including in international mechanical engineering, is a poorly studied property of the industry system. At the same time, it is anisotropy that determines the nature of intra-industry competition. The aim of the study is to propose an approach for the analysis of industry anisotropy in the coordinate space “ resilience – efficiency” where a two–petalled R-lens will be formed, which is then clustered, with the allocation of seven reference clusters. The inclusion of such enterprise image points in one of the six selected clusters allows companies from the industry to assess their location, nearest competitors, risks, and methods of repositioning (if applicable). The study is original, it uses methods of fuzzy set theory and soft computing. A new technology for analyzing industry anisotropy based on clustering of R-lenses is proposed.

Multimodal deixis in media discourse: Film vs TV interview narratives

The article explores two media discourse formats, film and TV interview as manifesting the specific distribution of two communicative modalities — speech and gesture — in the multimodal deixis of discourse space construal in narratives. To identify the attribution of speech and gesture to two media formats, the study contrasts the plot contents and viewer engagement as two major coordinates of discourse space in media. We hypothesize that since these two formats display differences in their plot content and viewer engagement characteristics, their distribution might affect the way the actors employ speech and gesture to present the discourse space. The research data are 20 film and TV interview narratives with 10 highly rated Russian actors (5 men and 5 women). The study exploits the method of multimodal analysis to determine the contingency patterns of discursive schemata presenting discourse space in speech and of discursive schemata presenting object of reference, move and frame of reference in deictic gesture. The results show that multimodal deixis contributes to intensifying both types of these characteristics. While multimodal deixis in film manifests the preference for metonymic pointing, placement indication and speech event construal; in TV interview, we observe the significant prevalence of metaphoric pointing, path indication and narrative event construal. Additionally, TV interviews display the speech schemata specifying information and accentuating the place of referent within the speech or narrative event. Overall, the study shows that there are two basic types of discourse characteristics which produce higher distinctions in multimodal deixis between film and TV interview formats; these are different narrative regimes and different combination of staged performance and spontaneity.

Stomatal variations and their position relative to leaf epidermal cells in ten Maple species

Abstract In the present study, we investigated the structure of stomata in seven native species of Hyrcanian forests (Acer hyrcanum, A. velutinum Boiss., A. campestre, A. platanoides L., A. cappadocicum, A. monspessulanum, A. amazandaranicum), as well as non-native species that have fully adapted (A. negundo, A. negundo variegatum, and A. palmatum). We used light and electron microscopy to determine the form and position of the stomata in relation to the leaf epidermal cells. The length, width, shape, area, perimeter, and stomatal density were all measured. Our findings revealed that the stomata type of A. negundo varengiayum, A. campestre, A. hyrcanum, A. mazandaranicum and A. monsspesulanum is anomocytic, A. platanoides and A. cappadocicum have anomocytic stomata with wavy subsidiary cells, while A. palmatum has anisocytic stomata and A. velutinum has parasitic stomata. A. negundo has actinocytic stomata. Regarding the location of stomata relative to adjacent epidermal cells, we identified three types. In the first type, the stomata were flush with adjacent epidermal cells (A. cappadocicum, A. negundo, A. platanoides). In the second type, the stomata were higher (A. negundo variegatum), and in the third type, the stomata were lower (A. velutinum, A. monspesulanom, A. campestre, A. mazandaranicum, A. hyrcanum). The principal component analysis was used to determine the essential stomatal traits in differentiating between species. We also investigated the distribution of trees in the coordinate axis space based on two main components and performed cluster analysis based on stomatal characteristics. A. platanoides, A. negundo, A. negundo variegatum were in one cluster, while the other species were in separate clusters. The calculation of dissimilarity among the studied species revealed the lowest similarity between A. negundo and A. hyrcanum and the highest similarity between A. campestre and A. mazandaranicum. The results of the discriminant analysis identified stomatal density as the essential factor in differentiation between the studied species.

Cohesion and polarization of active agent with visual perception

The collective motion and compact spatial organization of active agents have attracted attention due to their widespread occurrence in active matter systems as well as their valuable applications in unmanned aerial vehicles (UAVs). In our work, a Vicsek-like model with a spatial perception cone is designed to implement spatial compaction and orientational synchronization. It is observed that the co-existent condensations in both coordinate and momentum spaces can occur within a limited range of the perception cone angle. The degrees of condensations are significantly stronger than those of previous models. Furthermore, two mechanisms are declared to explain the condensations. The results may offer some clues to help design robotic systems or UAVs with directed collective behavior.

Predicting of a person's position in trajectory tracking from a continuous video stream

The paper proposes a method for predicting when a person enters a forbidden zone during his trajectory following a video stream, considering individual body parts. The authors used the PP-TinyPose PaddleHub neural network model with its implementation based on two deep neural networks to detect key points of the human body. The paper considers an example of human position prediction from a continuous video stream in indoor trajectory tracking. The authors predicted each key point in the coordinate space of the video stream using a recurrent deep neural network algorithm.

The uniformly continuous theorem of fractal interpolation surface function and its proof

<abstract> <p>In order to research uniform continuity of fractal interpolation surface function on a closed rectangular area, the accumulation principle was applied to prove uniform continuity of fractal interpolation surface function on a closed rectangular area. First, fractal interpolation surface function was constructed by affine mapping. Second, the continuous concept of fractal interpolation surface function at a planar point in a three-dimensional cartesian coordinate space system and uniform continuity of fractal interpolation surface function on a closed rectangular area were defined in the paper. Finally, the uniformly continuous theorem of fractal interpolation surface function was proven through accumulation principle in the paper. The conclusion showed that fractal interpolation surface was uniformly continuous function on a closed rectangular area.</p> </abstract>

Application of Information Integration Technology to Help Minority Traditional Arts in Chinese Painting Art Designs

Abstract This study utilizes the application of information fusion technology in the artistic design of Chinese paintings, especially exploring how to incorporate the elements of traditional ethnic minority art to enrich and develop the spatial aesthetic expression of Chinese paintings. The study first analyzes the differences in spatial artistic expression between Chinese and Western painting. It focuses on the spatial expression methods of Chinese painting and their application in ethnic minority traditional art. The mathematical model of minority art plane is constructed through the method of coordinate space and its transformation. The PAD emotional attribute model is used to quantitatively analyze the dynamic characteristics of Chinese painting art design works. The results show that the traditional elements of ethnic minorities incorporated in Chinese painting art design can effectively enrich the emotional expression of the paintings and enhance the aesthetic value of the art works. In 2022, the content of traditional elements of ethnic minorities in Chinese paintings increased by about 20 times compared with that in 2015, showing the increasing popularity of this art form. This study reveals the potential application value of information fusion technology in traditional art design and provides a new development direction for Chinese painting art design.

Genetic Architectures of Medical Images Revealed by Registration of Multiple Modalities

The advent of biobanks with vast quantities of medical imaging and paired genetic measurements creates huge opportunities for a new generation of genotype–phenotype association studies. However, disentangling biological signals from the many sources of bias and artifacts remains difficult. Using diverse medical images and time-series (ie, magnetic resonance imagings [MRIs], electrocardiograms [ECGs], and dual-energy X-ray absorptiometries [DXAs]), we show how registration, both spatial and temporal, guided by domain knowledge or learned de novo, helps uncover biological information. A multimodal autoencoder comparison framework quantifies and characterizes how registration affects the representations that unsupervised and self-supervised encoders learn. In this study we (1) train autoencoders before and after registration with nine diverse types of medical image, (2) demonstrate how neural network-based methods (VoxelMorph, DeepCycle, and DropFuse) can effectively learn registrations allowing for more flexible and efficient processing than is possible with hand-crafted registration techniques, and (3) conduct exhaustive phenotypic screening, comprised of millions of statistical tests, to quantify how registration affects the generalizability of learned representations. Genome- and phenome-wide association studies (GWAS and PheWAS) uncover significantly more associations with registered modality representations than with equivalently trained and sized representations learned from native coordinate spaces. Specifically, registered PheWAS yielded 61 more disease associations for ECGs, 53 more disease associations for cardiac MRIs, and 10 more disease associations for brain MRIs. Registration also yields significant increases in the coefficient of determination when regressing continuous phenotypes (eg, 0.36 ± 0.01 with ECGs and 0.11 ± 0.02 for DXA scans). Our findings reveal the crucial role registration plays in enhancing the characterization of physiological states across a broad range of medical imaging data types. Importantly, this finding extends to more flexible types of registration, such as the cross-modal and the circular mapping methods presented here.

Functionality optimization for effective singlet fission coupling screening in the full-dimensional molecular and intermolecular coordinate space.

In computational chemistry, accurately predicting molecular configurations that exhibit specific properties remains a critical challenge. Its intricacies become especially evident in the study of molecular aggregates, where the light-induced functionality is tied to highly structure-dependent electronic couplings between molecules. Here, we present an efficient strategy for the targeted screening of the structural space employing a "functionality optimization" technique, in which a chosen descriptor, constrained by the ground state energy expression, is optimized. The chosen algorithmic differentiation (AD) framework allows one to automatically obtain gradients without its tedious implementation. We demonstrate the effectiveness of the approach by identifying perylene bisimide (PBI) dimer motifs with enhanced effective SF coupling. Our findings reveal that certain structural modifications of the PBI monomer, such as helical twisting and bending as well as slipped-rotated packing arrangements, can significantly increase the effective SF coupling.

Function phononic crystals

We propose a novel type of phononic crystal for which the materials parameters are continuous functions of space coordinates without discontinuities corresponding to a seamless fusion of the constituent materials within the crystal lattice. With the help of an adaptation of this fundamental approach, we extend the well-established concept of phononic crystals, allowing an investigation of the transition from conventional phononic crystals with a regulated step-like parameter function to the realm of so-called function phononic crystals. Our study is based on a first-principle theory assisted by high-performance computer simulations and focuses on an understanding of the effects of a deviation from the typical parameter step function on the phononic density of states (DOS). Our exploration of the DOS reveals a characteristic rapid convergence: even a slight deviation from an ideal step function has the potential to induce radical changes in the band structure leading to the emergence of desirable features, especially multiple complete phononic band gaps.

Wave beams, packets and pulses in inhomogeneous non-Hermitian media with dispersive gain or damping

Wave beams, packets or pulses are known to be subject to a drift if the properties of the medium change across their extension. This effect is often analyzed considering the dispersive properties of the oscillation, related to the real part of the dispersion relation. The evolution of Gaussian beams/packets/pulses in nonuniform media in the presence of gain or damping is investigated in detail, with particular emphasis on the role of dispersion on both the real and the imaginary part of the dispersion relation. In the paraxial limit, the influence of a non-Hermitian medium on the evolution of the wave can be treated employing the equations derived by Graefe and Schubert in the frame of non-Hermitian quantum mechanics (Phys. Rev. A 83 060101(R)). Analytic solutions of the corresponding paraxial equations are obtained here for a one-dimensional complex dispersion relation characterized by a linear or quadratic dependence on the transverse coordinate (a space coordinate for beams and packets, the time in the co-moving frame for a pulse). In the presence of a constant gradient in both the real and the imaginary part of the dispersion relation, the contribution of the latter can lead to a faster or slower propagation with respect to the Hermitian case, depending on the parameters. In focusing media, a constant gain can counteract dispersive or inhomogeneous damping producing packets of asymptotically constant shape. The analytic formulas derived in this paper offer a way to predict or control the properties of beams/packets/pulses depending on their initial conditions and on the characteristics of the medium.

Frequency dependent exact trial functions in Galerkin boundary method for free vibration analysis of thin plate

Method of frequency dependent exact trial functions for thin plate vibration based on fundamental solutions of Voigt is suggested. Contrary to other methods, where one of the functions is chosen as the scale and specific boundary condition dependent, it employs only the frequency dependent functions for both space coordinates. Thus they are scale independent, so the same functions can be used for different boundary conditions and plate dimensions. General rule for the choice of exact trial functions is formulated. The boundary conditions are satisfied according to the Galerkin boundary method, which actually minimizes the energy residuals with respect to each weight function (fundamental solution).The verification of method is performed on examples of rectangular plate with various boundary conditions. Several arbitrarily chosen sets of trial functions were employed in calculation of the same tasks, and it is shown that accuracy of the method is almost independent from the choice of them. Even the small number of trial functions provides the very accurate results for natural frequencies.

Область правильной координации пространства нормальными коническими координатами

The field theory is widely represented in spherical and cylindrical coordinate systems, since the mathematical apparatus of these coordinate systems is well studied. Field sources with more complex structures require new approaches to their study. The purpose of this study is to determine the correct coordination of space by normal conic coordinates. This is necessary in subsequent studies, the task of which will be to simplify the expressions for the characteristics of the field by introducing a special coordination of space, which reflect the shape of the source and/or sink of the field. For example, a field with a rectilinear source is more convenient to refer to cylindrical coordinates, and a field with a point source - to spherical coordinates. Basically, the use of field theory in the study of physical processes by methods of applied geometry is limited to two classical curvilinear systems, although their presentation in arbitrary curvilinear coordinates is known. We will distinguish between global and local coordinate systems. The global system, as well as the coordinates of a point in this system, will be denoted by x, y, z. She is unchanging. The local system, as well as the coordinates of a point in this system, will be denoted by t, u, v. Local system variable. At each point in space belonging to the area of existence of the system, the local coordinate system is defined

On the Dirac-like equation in 7-component space-time and generalized Clifford-Dirac algebra

The generalized Dirac equation related to 7-component space-time with one time coordinate and six space coordinates has been introduced. Three 8-component Dirac equations have been derived from the same 256-dimensional Clifford-Dirac matrix algebra. Corresponding Clifford-Dirac algebra is considered in the Pauli-Dirac representation of $8 \times 8$ gamma matrices. It is proved that this matrix algebra over the field of real numbers has 256-dimensional basis and it is isomorphic to geometric $\textit{C}\ell^{\texttt{R}}$(1,7) algebra. The corresponding gamma matrix representation of 45-dimensional $\mathrm{SO}(1,9)$ algebra is derived and the way of its generalization to the $\mathrm{SO}(m,n)$ algebra is demonstrated. The Klein-Gordon equation in 7-component space-time is considered as well. The way of corresponding consideration of the Maxwell equations and of equations for an arbitrary spin is indicated.

Embarking on the path to quantum field theory

The harmonic oscillator represents as a unique tool in modern physics since it is not only exactly solvable but also relates many phenomena. This paper introduces the relation between Quantum Field Theory and other physical theories and discusses how harmonic oscillator behave in Quantum Mechanics and Quantum Field Theory by the quantization of Klein-Gordon Field. To this end, this paper applies energy-momentum equation given by special relativity to Schrdingers Equation to get the Klein-Gordon Field, and then uses canonical method to quantize the field, which is called the second quantization of the field. The comparison is made between the result quantized field, the quantum harmonic oscillator and classical harmonic oscillator. The similarity of two physical systems is demonstrate by the comparison between commutation relations of operators. The similar commutation relations then help people to interpret quantized Klein-Gordon Field as a system that contain a quantized harmonic oscillator in each space coordinate.

Moment tracking and their coordinate transformations for macroparticles with an application to plasmas around black holes

Particle-in-cell (PIC) codes usually represent large groups of particles as a single macroparticle. These codes are computationally efficient but lose information about the internal structure of the macroparticle. To improve the accuracy of these codes, this work presents a method in which, as well as tracking the macroparticle, the moments of the macroparticle are also tracked. Although the equations needed to track these moments are known, the coordinate transformations for moments where the space and time coordinates are mixed cannot be calculated using the standard method for representing moments. These coordinate transformations are important in astrophysical plasma, where there is no preferred coordinate system. This work uses the language of Schwartz distributions to calculate the coordinate transformations of moments. Both the moment tracking and coordinate transformation equations are tested by modelling the motion of uncharged particles in a circular orbit around a black hole in both Schwarzschild and Kruskal–Szekeres coordinates. Numerical testing shows that the error in tracking moments is small, and scales quadratically. This error can be improved by including higher order moments. By choosing an appropriate method for using these moments to deposit the charge back onto the grid, a full PIC code can be developed.

3D RECONSTRUCTION FROM MULTI-VIEW GOOGLE EARTH SATELLITE STEREO IMAGES BY GENERATING VIRTUAL RPC BASED ON 3D HOMOGRAPHY-BASED GEOREFERENCING

Abstract. In this paper, we propose a method for performing 3D reconstruction by generating virtual RPC parameters from multi-view satellite stereo images provided by Google Earth (GE) software. In the multi-view stereo (MVS) image in a general case, after the pose and parameters of the camera are estimated, a dense 3D surface can be reconstructed. However, in the case of satellite images, it is not easy to obtain the original images with pose parameters of an area of interest. In the case of GE software, which can obtain images across the globe, the images provided are georeferenced and modified to fit the ground control point (GCP), so there is no camera model to explain the projection relationship. Therefore, the purpose of the proposed method is to perform 3D reconstruction by generating virtual camera parameters in modified satellite images obtained from GE software. In the proposed method, satellite images obtained from GE are estimated to be pinhole images using structure from motion (SfM) for initial reconstruction. After initial reconstruction, the 3D model is transformed from a distorted hexahedral space formed along a pixel ray to a UTM coordinate system metric space through a 3D homography-based georeferencing. A virtual rational polynomial camera (RPC) parameter is calculated through the satellite images and the 3D interspace correspondence point of UTM coordinates. The result is generated by virtual RPC and the MVS method using the RPC model. The reconstructed DSM using virtual RPC is improved over the initial reconstruction of the proposed process, and error measurement in the area with GT obtained significant results with an average of 1.366m on an MAE method.