Idea Of Symmetry Research Articles

한·중 <새털옷신랑> 설화 비교

This study compares the Korean and Chinese The Man in Feather Clothes to analyze the growth of man, the help of woman, the meaning of the ability required of man, woman’s assistance, and the establishment of an ideal male-female community. First, I focus on the 19th and 39th episodes of The Man in Feather Clothes in Korea and China respectively. The commonalities and differences were examined under three motifs: A. “The male marries a pretty female,” B. “The female is stolen by a powerful person,” and C. “The male recovers the female using the bird feather clothes.” Subsequently, I discuss male growth and female assistance. Korean folktales emphasize the activeness of the female protagonists, and pay attention to the act of male protagonists violating a taboo. On the other hand, Chinese folktales tend to ignore the act of vilating a taboo and emphasize the activeness of the male protagonist. In both folktales, the male and female protagonists make contact with the “power of nature” through bird feather clothes, and in Korean folktales, an ideal male protagonist image according to Confucian ideology is presented, whereas in Chinese folktales, a shamanic character is emphasized. They all subverted power and violence by borrowing the “power of nature” and beinging it into human society. In addition, it is noted that women’s assistance in the folktales of the two countries have an effect of subverting power beyond simple roles in the home, and women’s right to speak has the meaning of social participation and challenge to power. Furthermore, it also shows the ideal form of the male and female community. In the tales of The Man in Feather Clothes of the two countries, it is emphasized that women’s voices go beyond simple domestic roles to influence the overthrow of power, and women’s right to speak has the meaning of social participation and a challenge to power. Furthermore, it shows the ideal image of a male-female community and the anthropological idea of symmetry.

Research on the Aesthetic Value of Costume Creation in the Song Dynasty

The objective of the study is to trace the evolution of costume design in the Song Dynasty, highlighting key aesthetic influences, materials, and techniques employed in clothing creation and to explore the underlying aesthetic principles and thoughts that guided costume creation in the Song Dynasty, including notions of beauty, harmony, and symbolism. This study try to investigate the specific materials and techniques used in creating Song Dynasty costumes and their impact on the overall aesthetic value, considering aspects such as fabric, embroidery, dyeing, and tailoring methods. In the course of the aesthetic study, this study looked very closely at artworks from the Song Dynasty in an effort to comprehend the aesthetic concepts such as beauty, harmony, and symbolism that influenced costume design during that time period. During the materials and techniques investigation, this study used scientific approaches to get a better understanding of the materials that were used in the production of the costumes. Additionally, this study worked with specialists to get a more in-depth examination of the processes used for dyeing , embroidery, and tailoring. According to the findings, the aesthetic ideals that guided costume production underwent a process of evolution during the course of the Song Dynasty. During the early decades of the 20th century, there was an emphasis placed on elegance and harmony with nature. This is shown in the usage of delicate silks and subtle floral designs at the time. When Neo-Confucianism became more popular, ideas of integrity and symmetry began to influence costume design (Table 1 and Table 2). This resulted in color combinations that were more harmonious and the integration of yin-yang symbols. . Pseudo-evidence on silk, sophisticated needlework, state of the art natural coloring procedures and ahead tailoring techniques demonstrate how such components played their particular part towards the attractiveness of cloth products made under Song Dynasty. Firstly this research gives an understanding of the interplay diverse influences such as changing circumstances from historical, cultural and artistic perspectives that fused together to form a rich legacy in beauty and elegance that adds immensely to the understanding of the aesthetic nature of costume design throughout Song Dynasty.

MultiFuzzTOPS: A Fuzzy Multi-Criteria Decision-Making Model Using Type-2 Soft Sets and TOPSIS

Effective and optimal decision-making can enhance system performance, potentially leading to a positive reputation and financial gains. Multi-criteria decision-making (MCDM) is an important research topic widely applied to practical decision-making problems. Using the basic idea of symmetry to balance the arrangement where elements or features have an equality or similarity in distribution, MCDM provides robust decisions in such multi-dimensional complex issues. This study proposes MultiFuzzTOPS, a decision-making model to deal with complexity of multi-criteria decision-making. The proposed MultiFuzzTOPS leverages the fuzzy logic and soft sets such as type-2 soft sets (T2SS) and technique for order preference by similarity to ideal solution (TOPSIS) for decision-making. We validate the proposed model by implementing it to solve the pesticide selection problem in food science by considering various criteria for the selection of pesticides. Our proposed MultiFuzzTOPS recommends the best pesticide compared with its counterparts because it covers the maximum information for the selection of the best alternative. Results are ranked on the basis of the Hamming distance and similarity coefficient. We also validate the effectiveness by performing the sensitivity analysis, and the validation shows the reliability and effectiveness of our proposed model.

Thermo-Mechanical Energy

Thermodynamics and mechanics are two highly developed disciplines, which have remained very independent. Some studies link them but they are restricted to very limited aspects, as if trying to maintain the independence between them. In Mechanics, energy is considered a single uniform property represented by a scalar magnitude has limited its study. On the contrary, Thermodynamics analyzes each magnitude separately and links them with already different definitions beforehand, this allows these to be given diverse properties often related to the reference systems and subsequently linked to each other a posteriori without losing their particularities. This can be seen in the definition of internal energy and kinetic energy of the volume of gases; In Mechanics, this separation is not made and therefore it is restricted to considering energy as a scalar. This study defines why energy should be subdivided, what advantage comes from analyzing it in this way, what cases it applies to, what answers are obtained that were not achievable before, and it eliminates contradictions that are generated if it is considered only a scalar. This reasoning also opens the way to the introduction of the concept of entropy in mechanics (more precisely in dynamics), which provides answers to the temporal direction of events and, in this way, the false idea of temporal symmetry in the equations is eliminated and it allows us to see that it is presented this way intentionally as a way to simplify problem-solving.

A Mini-Review of the Kinetic Energy Partition Method in Quantum Mechanics

Based on the idea of adiabatic symmetry, we present a novel basis set expansion method—the kinetic energy partition (KEP) method—for solving quantum eigenvalue problems. Broken symmetry is responsible for quantum entanglement in many-body systems via parametric non-adiabatic corrections. Starting from simple one-particle-in-one-dimension problems, we gradually increase the complexity in the number of particles and the interaction patterns. Our goal in the mini-review is to advocate for the utility of the KEP method in front-line research, in particular for research beginners in quantum many-body problems.

Symmetry analysis of the canonical connection on Lie groups: six-dimensional case with abelian nilradical and one-dimensional center

<abstract><p>In this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus was on those Lie groups whose Lie algebra was six-dimensional solvable and indecomposable and for which the nilradical was abelian and had a one-dimensional center. Based on the list of Lie algebras compiled by Turkowski, there were eight algebras to consider that were denoted by $ A_{6, 20} $–$ A_{6, 27} $. For each Lie algebra, a comprehensive symmetry analysis of the system of geodesic equations was carried out. For each symmetry Lie algebra, the nilradical and a complement to the nilradical inside the radical, as well as a semi-simple factor, were identified.</p></abstract>

Network Semantics. A beginning

This article follows two previous attempts at using networks for the understanding of drama, “Network Theory, Plot Analysis” (2011)—also in Franco Moretti, Distant Reading (New York & London: Verso, 2013)—, and “Simulating Dramatic Networks,” Journal of World Literature (2020). Franco Moretti shows here the steps of “visualizing dramatic structure as a network” and critically engages the idea of symmetry in tragedy. In the course of the next two years, the METRA project will continue to investigate the heuristic potential of dramatic networks.

A New Lomax Extension: Properties, Risk Analysis, Censored and Complete Goodness-of-Fit Validation Testing under Left-Skewed Insurance, Reliability and Medical Data

The idea of symmetry, which is used to describe the shape of a probability distribution, is a key concept in the theory of probability. The use of symmetric and asymmetric distributions is common in statistical inference, decision-making, and probability calculations. This article introduces a novel asymmetric model for assessing risks under a skewed claims dataset. The new distribution is also employed for both censored and uncensored validation testing. Four estimation methods, maximum likelihood, ordinary least squares, L-Moment, and Anderson Darling, were used for the risk assessment and analysis. To explain the exposure to risk within actuarial claims data, we introduced five crucial indicators, namely value-at-risk, tail-value-at-risk, tail variance, tail mean-variance, and mean excess losses. A numerical and graphical analysis is presented to assess the actuarial risk. Furthermore, the article discusses a newly developed Rao Robson Nikulin statistic for censored and uncensored validation testing. The validation testing also involved the insurance claims dataset.

Some New Hermite–Hadamard Type Inequalities Pertaining to Generalized Multiplicative Fractional Integrals

There is significant interaction between the class of symmetric functions and other types of functions. The multiplicative convex function class, which is intimately related to the idea of symmetry, is one of them. In this paper, we obtain some new generalized multiplicative fractional Hermite–Hadamard type inequalities for multiplicative convex functions and for their product. Additionally, we derive a number of inequalities for multiplicative convex functions related to generalized multiplicative fractional integrals utilising a novel identity as an auxiliary result. We provide some examples for the appropriate selections of multiplicative convex functions and their graphical representations to verify the authenticity of our main results.

Current loop and point dipole configurations for magnetic multipoles

Multipoles are a widely used tool in magnetostatics, but very little is known about the possible current distributions that may generate them. Here we propose constructions for the currents corresponding to the multipole fields. We begin with a small current loop which creates a dipolar field, and then investigate how to construct current configurations for multipoles of all degrees and orders, by using differentiation and considering ideas of symmetry and nesting loops. We also investigate using point dipoles instead of loops. Many equivalent configurations are found, most of which are not presented elsewhere in the literature.

An Improved Model Combining Outlook Attention and Graph Embedding for Traffic Forecasting

Due to the highly non-linear nature of traffic data and the complex structure of road networks, traffic forecasting faces significant challenges. In this paper, we propose an improved model that combines outlook attention and graph embedding (MOAGE) for traffic forecasting, focusing on the construction of reasonable and effective spatio-temporal dependencies. Inspired by the idea of symmetry, MOAGE adopts a symmetrical encoder and decoder structure. Outlook attention blocks are important components of the encoder and decoder, consisting of spatial outlook attention and temporal outlook attention, used to model spatio-temporal dependencies in the road network. Cross attention are added to the model to reduce propagation errors. In addition, we learned the vertex representation of the graph via the node2vec algorithm and integrated the graph information into our model for a better prediction performance. Extensive experiments on two real datasets further demonstrate that the RMSE errors of the MOAGE on PEMS_BAY and METR_LA are reduced by approximately 14.6% and 12.2% for 60 min compared with the latest baseline models. Finally, the methodology used in this study will provide guidance to relevant ministries to better allocate transport resources and improve the efficiency and safety of traffic operations.

FUSION: Measuring Binary Function Similarity with Code-Specific Embedding and Order-Sensitive GNN

Binary code similarity measurement is a popular research area in binary analysis with the recent development of deep learning-based models. Current state-of-the-art methods often use the pre-trained language model (PTLM) to embed instructions into basic blocks as representations of nodes within a control flow graph (CFG). These methods will then use the graph neural network (GNN) to embed the whole CFG and measure the binary similarities between these code embeddings. However, these methods almost directly treat the assembly code as a natural language text and ignore its code-specific features when training PTLM. Moreover, They barely consider the direction of edges in the CFG or consider it less efficient. The weaknesses of the above approaches may limit the performances of previous methods. In this paper, we propose a novel method called function similarity using code-specific PPTs and order-sensitive GNN (FUSION). Since the similarity of binary codes is a symmetric/asymmetric problem, we were guided by the ideas of symmetry and asymmetry in our research. They measure the binary function similarity with two code-specific PTLM training strategies and an order-sensitive GNN, which, respectively, alleviate the aforementioned weaknesses. FUSION outperforms the state-of-the-art binary similarity methods by up to 5.4% in accuracy, and performs significantly better.

A new distance based measure of asymmetry

In a univariate setting there is a near unanimous agreement on the notion of skewness. Nevertheless, many more skewness measures, or also called asymmetry measures (or indices) exist, each with their benefits. Extending the concept of skewness or asymmetry to a multivariate setting is a much harder problem. Attempts have been made, but the unanimity of the univariate setting is no longer present. Most asymmetry indices are scalar or vector based measures, but this can lead to a loss of information concerning asymmetry. To this end, we propose a novel functional asymmetry index which is based on the natural idea of reflective symmetry around the mode. The proposed index is also extended to the multivariate setting and a summarizing scalar (or vector based index in multivariate setting) is derived from it.

Common Fixed-Points Technique for the Existence of a Solution to Fractional Integro-Differential Equations via Orthogonal Branciari Metric Spaces

The idea of symmetry is a built-in feature of the metric function. In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via orthogonal triangular α-orbital admissible mapping in the context of orthogonal complete Branciari metric spaces endowed with a transitive binary relation. Our results generalize and extend some pioneering results in the literature. Furthermore, the existence criteria of the solutions to fractional integro-differential equations are established to demonstrate the applicability of our results.

Identification of the Ignition Point of High Voltage Cable Trenches Based on Ceiling Temperature Distribution

With the improvement of the development level of power systems, high voltage cable trenches are being widely used in power systems. The high voltage cable trench is characteristically strongly sealed, which makes it difficult to find a fire in the trench. In order to judge the development of an early cable fire, the relationship between the ceiling temperature distribution and the location of cable ignition points was studied. According to the idea of symmetry, this paper adopts the experimental method of symmetrical double ignition points, carries out several groups of longitudinally symmetrical cable fire combustion experiments with high voltage cable trenches as the carrier, and establishes an equation for calculating the fitness of the relationship between the ceiling temperature and the distance from the ignition point. The results show that the temperature measurement results of the 1:1 high voltage cable trench experimental platform are accurate; in the longitudinal direction, the ceiling temperature decreases from the ignition point to both sides, and the temperature change curve has obvious stage characteristics; within a range of 5 m from the expected ignition point, the average identification accuracy reaches 97.0%. In the early stage of a substation cable trench fire, the two-point temperature measurement and ignition point identification method of high voltage cable trenches based on ceiling temperature distribution proposed in this paper can effectively identify the location of the ignition point along the longitudinal direction of cable trench.

Symmetry and financial markets

It is hard to overstate the importance that the concept of symmetry has had in every field of physics, a fact alluded to by the Nobel Prize winner P. W. Anderson, who once wrote that “physics is the study of symmetry”. Whereas the idea of symmetry is widely used in science in general, very few (if not almost no) applications have found its way into the field of finance. Still, the phenomenon appears relevant in terms of for example the symmetry of strategies that can happen in the decision making to buy or sell financial shares. Game theory is therefore one obvious avenue where to look for symmetry but, as will be argued, also technical analysis and long-term economic growth could be phenomena which show the hallmark of a symmetry.

Generating Soft Topologies via Soft Set Operators

As daily problems involve a great deal of data and ambiguity, it has become vital to build new mathematical ways to cope with them, and soft set theory is the greatest tool for doing so. As a result, we study methods of generating soft topologies through several soft set operators. A soft topology is known to be determined by the system of special soft sets, which are called soft open (dually soft closed) sets. The relationship between specific types of soft topologies and their classical topologies (known as parametric topologies) is linked to the idea of symmetry. Under this symmetry, we can study the behaviors and properties of classical topological concepts via soft settings and vice versa. In this paper, we show that soft topological spaces can be characterized by soft closure, soft interior, soft boundary, soft exterior, soft derived set, or co-derived set operators. All of the soft topologies that result from such operators are equivalent, as well as being identical to their classical counterparts under enriched (extended) conditions. Moreover, some of the soft topologies are the systems of all fixed points of specific soft operators. Multiple examples are presented to show the implementation of these operators. Some of the examples show that, by removing any axiom, we will miss the uniqueness of the resulting soft topology.

Research on Knowledge Graphs with Concept Lattice Constraints

The application of knowledge graphs has been restricted in some domains, especially the industrial and academic domains. One of the reasons is that they require a high reliability of knowledge, which cannot be satisfied by the existing knowledge graph research. By comparison, traditional knowledge engineering has a high correctness, but low efficiency is an inevitable drawback. Therefore, it is meaningful to organically connect traditional knowledge engineering and knowledge graphs. Therefore, we propose a theory from Attribute Implications to Knowledge Graphs, named AIs-KG, which can construct knowledge graphs based on implications. The theory connects formal concept analysis and knowledge graphs. We firstly analyze the mutual transformation based on the ideas of symmetry with a strict proof among the attribute implication, the formal context and the concept lattice, which forms the closed cycle between the three. Particularly, we propose an Augment algorithm (IFC-A) to generate the Implication Formal Context through the attribute implication, which can make knowledge more complete. Furthermore, we regard ontology as a bridge to realize the transformation from the concept lattice to the knowledge graph through some mapping methods. We conduct our experiments on the attribute implication from the rule base of an animal recognition expert system to prove the feasibility of our algorithms.

A look at the global educational crisis through the lens of experience of the history of science. Part II. The structure of general education content

Introduction.The first part of this work is devoted to the examination of the scientific knowledge structure as a three-level scheme of its division (the field of phenomena of nature, laws of nature and the field of symmetry principles), wherein each next level provides the previous one with its structure. According to V. S. Lednev’s approach, scientific knowledge is a determinant of the general education content. Therefore, the general education content structure requires to be revised as well. Aim. The aim of the current study is the determination of a needed alteration of the general education structure corresponding to integrative trends, which have been registered in the process of formation of the scientific knowledge new structure.Methodology and research methods.The methodology of the study is based on the ideology of F. Klein (the Erlangen programme) and the ideas of E. Wigner about the levels of division of the scientific knowledge field (the totality of these ideas allows using them as a tool for description of the scientific knowledge structure and, consequently, of the structure of the education content, the determinant whereof it is); on the personal-activity approach developed by V. S. Lednev for the analysis of the structure of the education content, and on the approaches to description of the behaviour of complex systems on the base of regular laws established by synergetics.Results and scientific novelty.A new element, specifically “Structure of scientific knowledge (symmetry)” through line, is proposed for introducing into the general education content structure. Its function is the global integration of subject-based through lines of the general education. On this basis, it is possible to optimise the content of education that balances the process of differentiation within scientific knowledge. It allows solving one of the topical issues of the global educational crisis related to the constant growth of the scientific knowledge volume and fragmentation thereof. The present paper takes into consideration that certain features of sporadic formation of such a new element of the education content structure take place. Among them, one can mention the attempts to launch “Concepts of the Modern Natural Science” and “Scientific World View” courses, discussion of possibilities to use synergetics in pedagogy and active discussion of use of the ideas of symmetry within various disciplines – from humanitarian to science, technology, engineering and mathematics (STEM). The perspectives of further development of formulated ideas about the scientific knowledge structure and the general education content structure in light of trends in STEM are also discussed.Practical significance.The ideas about “Structure of scientific knowledge (symmetry)” through line will be utilised for task-oriented revision and re-distributing of the content of subject-based through lines of the general education with the aim of its optimisation, taking into account the highest level of the scientific knowledge integration, which was formed in the course of the evolution thereof.

Pronouns for an apocalyptic future: asymmetrical terms for a new era

ABSTRACT Pronouns, particularly gendered pronouns, convey how apocalyptic futures are understood for differently positioned subjects. The “we” is not always about embracing a commons but can also be about extending exclusions. Drawing from social linguistics and the concept of shifters, science and technology studies and the ideas of symmetry, asymmetry, as well as the author’s ethnographic research at two orangutan rehabilitation centers on Borneo in present day Malaysia, this paper highlights the power of pronouns in imagining whose lives are at risk or endangered in a pending apocalypse, including the present Sixth Age of Extinction and popular fears about the end of the world.