With the rapid urbanisation process in China, the trend of rural landscape pattern transformation is becoming increasingly obvious. On the one hand, the construction of urban aesthetics is penetrating into the countryside, resulting in the rapid change of local buildings and the digestion of the original village space. It is manifested as urbanisation and assimilation of landscape features. On the other hand, driven by rural autonomy, historic buildings have been replaced by sprawling modern tiled houses. Great differences exists in material, colour and volume between ceramic tiled houses and old houses, which form differences in forms and styles. The construction system has changed after the cultural fault due to the lack of internal relevance. According to the survey statistics of Professor Li  based on 480 villages in 13 provinces, the problems of urbanisation and assimilation are common in China’s rural style. Taking Shengzhou village, Panyu district, Guangzhou, as an example, the current housing situation can be divided into four categories according to the architectural structure (Figure 1): Class I buildings: ceramic tiled houses 31%, Class II buildings: stone rice houses 27%, Class III buildings: green brick houses 23% and Class IV buildings: shacks 18%. The current situation of Shengzhou village has become an epitome of the current rural development, and the disordered style has become an important problem faced by rural transformation (Figures 1 and 2).
The research on the construction of the rural style from the perspective of aesthetics can be divided into two aspects: on the one hand, to study the rural planning model from the aspects of rural texture and design standards. This uses
The coordination of the spatial interface has its inherent aesthetic rules and shows the unity and opposites of ‘unity and diversity of elements’ and ‘construction and reconstruction of spatial sequence’. This study relies on the rules of similarity aesthetics and visual aesthetics and establishes an aesthetic model, through field investigation, comparison and other research methods, so as to generate strategies to deal with attribute relations, hierarchical relations and formal relations among rural elements (Figure 4).
Similarity refers to the expression pattern: local elements or internal organisational rules between things were convergence. The similarity aesthetics originates from the similitude, and the main task of the similitude is to study the laws and applications of similarity between things, which are of four types: ‘classic similarity, fuzzy similarity, other similarity and self-similarity’. Similarity plays an important role in people’s aesthetic consciousness. When judging the relationship between one thing and another, it is often ‘caused by the similarity or contrast of the two, and sometimes formed by the fit of that ’.
Professor Pan Dingxiang  mentioned in his book Composition of Architectural Beauty that ‘no matter it is a plane shape, or a three-dimensional form or space, if they have the same or similar ratios in all directions, there will be coordination in the same place’. It elaborates the phenomenon of harmony caused by the similarity shapes. Therefore, the more similar things are, the more likely they are to reach a state of harmony, while the less the similar things are, the greater is the difference, and the more likely they are to form a contrast, or because the contrast is too much, they will lose coordination and cause chaos.
The coordination of the environmental interface could be viewed from the three aspects: ‘form, material and colour’. If the three factors are similar, it is easy to form similarity coordination, that is, weak contrast coordination. If there are similarities between the two factors, coordination can also be realised, that is, China comparison coordination. If only one factor is similar between monomers, that is, strong contrast coordination exists (Figure 3). If the three factors are not similar, there will be a strong contrast between things. Generally, if coordination is not possible, they can still achieve coordination under certain artistic conditions, that is, differentiated coordination.
When the form, material and colour have the similarity, the style tends to be clear, and the keynote is slow and soft. Due to the long-term spontaneous construction process in rural areas, villagers have spontaneously constructed the residential form based on ‘prototype imitation’, so many similar aesthetics in the rural environment can be found, such as similar construction styles and decoration features in the original environment. For example, in the reconstruction of Daye home stay in Mogan mountain, several parallel houses apply similar symbols of the slope top, Dai tile and pink wall elements to achieve a high degree of coordination in form, material and colour (Table 1-a), as well as the expansion of the Joslyn Art Museum (Table 1-b).
Similarity aesthetics and interface coordination
|Name||a. the homestay Shanyu village in Mogan Shan||b. Expansion of Jocelyn Art Museum|
Generally, new forms and new functional forms are embedded in the context of the old place, but the harmonious relationship with the old place is realised through the similarity of material and colour. The Lorette monastery in Belgium (Table 2-a) is a traditional architectural style with a continuous sloping roof. In its expansion design, the DMV architecture office applies the extension of modern block volume. The forms of roof, doors and windows are compared with the original historical buildings in different styles of tradition and modernity. In order to realise the coordination between history and modernity, the facade wall of the new building adopts the method of small brick masonry and lime plastering consistent with the original building so as to realise the continuity between the old and the new through the similarity of facade material and colour. Skilfully, the designer made the light yellow of the new building to be weaker than the white of the old building, weakening the prominence of the new building, still set off the old building as the main body of the interface, and maintained the original atmosphere of the place.
Neutral comparison and interface coordination
|Name||a. Extension for the Lorette Abbey||b. Bridge bookstore in Fujian|
While the similarity of shape and structure is high, and the difference of colour and material is large, it generally constitutes coordination of strong contrast. In the expansion project of Tangshe Hotel in Yangshuo, Guangxi (Table 3-a), the new building is made of white concrete, which forms a strong contrast with the old residential buildings in material and colour, but its pitched roof and facade windows still maintain the relevance with the original building.
Strong contrast and differentiation coordination
|Name||a. Tangshe Hotel in Yangshuo, Guangxi||b. Prada Foundation of the Milan headquarters|
The opposite of similarity is difference. Similarity reflects the convergence and coordination between things, and the difference reflects the contrast between things. Simple similarity is easy to make the viewer feel monotonous due to the lack of contrast and change. For example, the barracks layout in new rural areas often produces aesthetic fatigue due to the high similarity between elements. The difference contrast will enhance the local variability and create a new visual attraction. About the uncoordinated things in the three aspects of ‘material, colour and form’, a new overall relationship will be generated in the organic juxtaposition, that is, the aesthetic connotation under the new coordinated relationship will be generated due to the complementarity between differentiated things.
Koolhaas studied the overall relationship of the industrial park for Prada Foundation in Milan (Table 3-b) and made use of the inclusiveness of the factory space to shape the diversity of the environment space. While retaining seven historic buildings of different shapes, three new modern cube buildings with metal colour, white concrete and foamed aluminium skin form a strong contrast with the entire historical environment. From the style and effect perspective, the new building is embedded to expand the art space type, highlighting its identification through different materials and bringing a fashion industrial sense that is not in contradiction with the old industrial atmosphere. Therefore, the old and new buildings do not merge into a whole image in the case of multiple juxtaposition. Instead, on the premise of maintaining mutual independence, they obtain the fusion of complementary and differences through the implication of themselves and space.
The new aesthetic implication formed by the complementarity of differences is the condition and reason for the juxtaposition of completely different things. Whether the juxtaposition of completely different elements can be established depends on the height of the aesthetic meaning of the overall relationship formed by complementarity. Its high aesthetic level forms the coordination under strong contrast. On the contrary, if the aesthetic level is low, it will constitute conflict, opposition and confusion.
The formation of environmental style is closely related to the viewer’s visual and psychological experience. Human vision has the characteristics of selectivity and integrity. Psychologist Rudolf Arnheim  proposed that ‘vision is completely a positive activity’. It not only passively accepts external objects and activities but also actively has the tendency to watch something. It is easy to catch flashing things in space, find their boundaries and essence and ignore meaningless things. Therefore, it further proposes that people have the consciousness characteristic of ‘pre-matching’: when the expected schema appears in our vision, our attention will not be attracted by it, and the structure in this schema will sink to the threshold of our consciousness, as translated by Yang Siliang et al. It is pointed out that vision is not sensitive to the schema within the expected range. Arnheim  has further put forward the ‘continuity’ theory: ‘when observing a certain pattern, the viewer will grasp a special law and repeatedly imagine this law. When there is a ‘interruption’ in one or several places in the process of the continuation of this law, it will stimulate the viewer’s attention, and this accident or deviation will bring visual pleasure to the viewer’.
Therefore, under the continuous and repeated graphic sequence, the interruption is the ‘visual difference point’ that attracts people’s attention. This visual rule is applied to the construction of the rural style. If there are several variations in the repeated interface, the viewer is easy to be attracted and to have a profound experience.
Vision has a numbness sense to repetitive and tedious things, while it also has an aversion to messy and complicated forms. ‘Aesthetic pleasure comes from the appreciation of a certain pattern between boring and messy. Monotonous patterns are difficult to attract people’s attention, and overly complex patterns will make our perceptual load too heavy and stop viewing it’ . It explains the importance of human visual perception to the balance and coordination between ‘diversity and unity’.
The visual view of the interface separates the background from the graphics, the main elements and the negative space. As shown in the Rubin cup (Figure 5), it is easier for the eye to see a vase. Therefore, what is convex is easily taken as the subject of the figure, and what is concave is easily taken as the background. The relationship between the picture bottom and surface reflects the possibility of creating the transformation between the prominent elements and the background.
The focus principle helps to create the visual level and centre. The diagonals in Annie Leibovitz’s photography define the picture centre, while the two sides of the centre balance the image in a dynamic symmetry while arranging the context of the elements (Figure 6). Therefore, when multiple elements are juxtaposed in the picture, the form and colour of the elements can be changed to control the visual weight and highlight their dominant position so as to form a visual neglect to negative information.
To create a landscape image with the integrity of historical features, follow the main line and law derived from the local context, appropriately integrate modern aesthetic factors, specifically emphasise the similarity of interface form symbols to achieve the consistency and homogeneity of visual recognition, and mainly follow the creative path of ‘seeking change in the overall unity’.
The transformation relies on the weak contrast and coordination between the old and new buildings in terms of material, colour and shape and uses the logical series of regional architectural shape symbols to eliminate the disharmonious interface conflict. At the same time, some disharmonious or degraded old buildings are demolished and integrated into the new architectural shape to realise the orderly coordination of street and lane interface style. First, the regional construction form system are summarised and integrated, the representative element symbols are extracted and the transformation mode of old and new buildings is established in a logical series way, such as strengthening the correlation of detail decoration such as ‘door and window style, guardrail component and moulding foot style’, emphasising the unity of the ground pavement and the difference of the chimeric bottom relationship, so as to form the potential joint relationship between new and old buildings. At the same time, while maintaining the similarity of the overall sense, we should pay attention to the rhythm control and variability of similar component symbols so as to realise the weak contrast and coordination of features under the aesthetics of similarity.
The streets and alleys of Fotang town in Zhejiang are mostly wooden shops built in the late Qing Dynasty and the Republic of China. The first floor consists of shops along the street, and the second floor has housing with decorative balconies. The interface construction attempt to keep the original pattern sequence, and every other room is replaced by a modern two-story residential pattern with a balcony (Figure 7). The remodelling of the balconies with concrete latticed balconies and the re-plastering of the facades transformed part of the house into a simple residence. The roof of the buildings along the street still has the same sloping green tiled surface. Although the shape and system of the streets are the same after the reconstruction, the slates embedded in the balconies are rich and changeable such as louvre-shaped, pentagonal with running deer pattern and double seagull pattern from left to right. Buildings of two eras and houses with two different functions are displayed side by side on the same interface. Under the unity of eaves and volume, each house has some differences. The aesthetic value of this interface lies in the low contrast and coordination between neighbours, with a regular and orderly substitution and logical symbol intervention .
Date division clearly emphasises the developing route of the village, including multiple forms of historical periods and different stages of the development path from traditional to modern. Allowing different historical stage construction parallel exists, namely ‘building the juxtaposition of different era, in which each is its era expression’ , so as to show the multiple attribute information and aesthetics generated settlement under the time series.
Daling village in Panyu, Guangzhou, is a famous historical and cultural village with a long history and contains various types of historical buildings. On the basis of the protection and repair of the site’s architectural heritage, a certain number of characteristic historical dwellings of the Republic of China period and the Cultural Revolution period were retained, and part of the incongruity buildings were properly updated to form a diverse interface of building, such as blue brick houses, red brick houses and stone and rice houses (Figure 8). In Figure 9, the flat roofs of yellow grey sand houses and stone rice houses are retained in the interface facing the water, forming the interface features of flat roof and inclined roof of cyan and yellow. The red brick houses and element details retained in the main street become the highlights the active interface.
The modern aesthetic concept is integrated into the traditional construction system, and the ‘new integral relationship’ is generated with sharp contrast between the old and the new. In particular, the formal and symbolic translation of local vocabulary is used to achieve a integration of modern formal language and structural system, and reshape the local aesthetic connotation.
Through the renewal of materials, colours and forms, the contrast with the old environment can be realised, showing the new and old derivative process of ‘traditional modern’. In the rural reconstruction of Shangping village in Fujian Province, the designer transformed the unused sundry shed in the village into a ‘colourful cloud room’ (Figure 10) and embedded coloured wooden windows on the external facade. The change of colour added a little dramatic ‘conflict’ to the ancient village. The old cowshed at the entrance of the village was transformed into a rural book bar. Retaining the original stone wall, the traditional sloping roof and wooden frame form were used. The facade was integrated with modern materials to reflect the modern sense. Based on the neutral contrast and coordination of the single level such as material and colour, it is easy to realise the orderly evolution of architectural interface in a relatively harmonious way.
The new building and the traditional building have a contrast relationship in materials, colours and forms, showing a derivative sequence between the new and old from tradition to modern. Various construction types constitute a new interface under multiple contrast between modernity and tradition.
Wen village is a traditional village in Fuyang town, Zhejiang Province. In the past 10 years of development, with the degradation of regional buildings in the village, the local style began to be chaotic (Figure 11). In the reconstruction of Wen village, Architect Wang Shu explored the new overall relationship of style in the way of ‘juxtaposition of strong contrast between the old and the new’ and expressed his guiding thinking on the future development of the countryside. On the basis of maintaining the original village pattern, alley and walkway texture, some disharmonious ceramic tiled houses were transformed and rebuilt, some traditional houses were retained and repaired, and more than 10 new houses in the modern context were built at the peripheral water interface. The designer absorbs the colours of traditional architectural symbols, adopts the traditional processes and materials of rammed earth wall, plastered wall, Hangzhou limestone wall and chopping axe stone, and integrates modern formal beauty, functional pattern and structural technology to complete the single design of rammed earth building, Hangzhou limestone building, two-slope top, single slope top and other forms, forming the interface tone of grey, white and yellow. At the same time, the inner corner space of the village is also filled with the contrast and integration of new and old, and new and new so as to construct a new overall relationship and guidance system between village tradition and modernity (Figure 12). Multiple comparisons emphasise the reinterpretation of traditional meaning by modern language and fit the implied spirit of traditional construction in a new form. It internally maintains the cultural inheritance based on the result of technological progress and completes the inheritance and reproduction of the local context with a new holistic relationship.
Based on the translation of the skin style of multiple monomers, the conflict of the whole fragment is lowered and the overall aesthetic feeling is changed. Translation is a special behaviour in linguistics that transforms a kind of language information into another language information . Rural construction in the focus on the architectural representation language transformation, obtain the language of the original building (building style, decoration style) gene and the relationship between the remodelling after break, or to pavilions are not harmonious construction change skin, or the sudden local facade adopts covered by green plants; Or the translation of different styles of a certain part and side of multiple monomers, so that the representation is presented in a more distinct form, and the local interface features of multiple slices are formed in the rural space, so as to realize the joint relationship and organic organization of spatial sequence changes.
Based on the selectivity and integrity of visual meaning, create features and intermittently make node changes for the interface with high repetition of form so as to form the variability under the unity of the interface. At the planning level, multiple continuous parking nodes can be consciously created, and each node strengthens the style characteristics of important scenes to give the viewer the overall style experience. For example, when people watch in the village road, the architectural sections appear in sequence. These style nodes not only show the village image from the static picture but also become a continuous picture in the dynamic scene with the sequence connection between them. The viewer will connect the complete rural style image from the succeeding style interface.
Based on the aesthetic law of the relationship between visual matching and the bottom of the picture, the emphasised and neglected contents should be distinguished in the style construction so as to reasonably arrange the spatial order relationship, for example, emphasise the highlights in the cluttered space, making the cluttered interface an easy-to-ignore background at the bottom of the picture, allowing people to focus on new element images and, at the same time, pay attention to the hierarchical relationship of close range, medium range and long range, to focus on the core point as the necessary strategy in the space. (1) Leading level: It mostly appears in the middle position. (2) Sublevel: It is weaker than the main level, and most of the pictures are located on one side or in close range. (3) Subordinate level: The visual weight is low and generally retreats to the background position. The highlights that need to be emphasized in the rural disordered interface, place them in the core position or the middle position, and obscure or hide the miscellaneous elements or place them in the background, so that people can ignore the unimportant elements and leave a deep impression on the key elements.
For this problem of ceramic tiled houses and the traditional dwelling interface, some meaningful landscape narrative spaces are established by using the intermediary space between the houses in the village, and new landscape forms such as treillage and thatched huts are included in the spatial pattern, forming a new focus of the space in front of the building. In the courtyard or roof, similar structures are built to increase the similarity between the units, and the disharmonious elements are diluted and shielded; or demolish individual buildings to expand the rural space, or repair with other landscape structures to change the local interface style of the village.
Based on the similarity aesthetic rules, the coordination modes of weak contrast, medium contrast, strong contrast and differentiation of the rural interface are derived. The first two rules are based on the integrity of rural historical features, combining the village interface in a way of serial symbols and clear dating, so as to realise the organic change under the overall unity of features. This mode of orderly renewal following the rural context is of great significance to protect the historical authenticity value of traditional villages. Strong contrast and differentiated coordination pay more attention to the construction of new relations under the diversified contrast between the old and the new. The essence of both is to undertake the spirit of the local context in different ways under the conditions of old places. The success or failure of the whole relationship constructed under different aesthetic techniques depends on the sufficiency and creativity of the new whole relationship to the ‘local meaning’.
At the same time, the perception and establishment of style have an impact on the functional relationship between the individual and the objective object. It is the overall image formed in the active organisation by the individual visual perception. Therefore, the construction of the rural landscape should not only design appropriate interface forms corresponding to the current conditions of rural areas from the objective aesthetic perspective but also research the relationship between the rural picture and bottom of the picture and the visual scenes organised based on individual subjective feelings, as well as construct complete landscape images in the psychological level of people. These two approaches are the necessary conditions to solve the problem of village style and guide its benign development.
Neutral comparison and interface coordination
|Name||a. Extension for the Lorette Abbey||b. Bridge bookstore in Fujian|
Strong contrast and differentiation coordination
|Name||a. Tangshe Hotel in Yangshuo, Guangxi||b. Prada Foundation of the Milan headquarters|
Similarity aesthetics and interface coordination
|Name||a. the homestay Shanyu village in Mogan Shan||b. 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Education Based on Finite Differential Equations The Law of Large Numbers in Children's Education Optimization System of Strength and Flexibility Training in Aerobics Course Based on Lagrangian Mathematical Equation Data structure simulation for the reform of the teaching process of university computer courses RETRACTION NOTE Research on the mining of ideological and political knowledge elements in college courses based on the combination of LDA model and Apriori algorithm Research on non-linear visual matching model under inherent constraints of images Good congruences on weakly U-abundant semigroups Can policy coordination facilitate unimpeded trade? An empirical study on factors influencing smooth trade along the Belt and Road Research on the processing method of multi-source heterogeneous data in the intelligent agriculture cloud platform Internal control index and enterprise growth: An empirical study of Chinese listed-companies in the automobile manufacturing industry Research on design of customer portrait system for E-commerce Research on rule extraction method based on concept lattice of intuitionistic fuzzy language Fed-UserPro: A user profile construction method based on federated learning A multi-factor Regression Equation-based Test of Fitness Maximal Aerobic Capacity in Athletes Design and evaluation of intelligent teaching system on basic movements in PE Garment Image Retrieval based on Grab Cut Auto Segmentation and Dominate Color Method Financial Risk Prediction and Analysis Based on Nonlinear Differential Equations Constructivist Learning Method of Ordinary Differential Equations in College Mathematics Teaching Multiple Effects Analysis of Hangzhou Issuing Digital Consumer Coupons Based on Simultaneous Equations of CDM Model Response Model of Teachers’ Psychological Education in Colleges and Universities Based on Nonlinear Finite Element Equations A Hybrid Computational Intelligence Method of Newton's Method and Genetic Algorithm for Solving Compatible Nonlinear Equations Pressure Image Recognition of Lying Positions Based on Multi-feature value Regularized Extreme Learning Algorithm English Intelligent Question Answering System Based on elliptic fitting equation Precision Machining Technology of Jewelry on CNC Machine Tool Based on Mathematical Modeling Application Research of Mathematica Software in Calculus Teaching Computer Vision Communication Technology in Mathematical Modeling Skills of Music Creation Based on Homogeneous First-Order Linear Partial Differential Equations Mathematical Statistics Technology in the Educational Grading System of Preschool Students Music Recommendation Index Evaluation Based on Logistic Distribution Fitting Transition Probability Function Children's Educational Curriculum Evaluation Management System in Mathematical Equation Model Query Translation Optimization and Mathematical Modeling for English-Chinese Cross-Language Information Retrieval The Effect of Children’s Innovative Education Courses Based on Fractional Differential Equations Fractional Differential Equations in the Standard Construction Model of the Educational Application of the Internet of Things Optimization research on prefabricated concrete frame buildings based on the dynamic equation of eccentric structure and horizontal-torsional coupling Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics Green building considering image processing technology combined with CFD numerical simulation Research on identifying psychological health problems of college students by logistic regression model based on data mining Abnormal Behavior of Fractional Differential Equations in Processing Computer Big Data Mathematical Modeling Thoughts and Methods Based on Fractional Differential Equations in Teaching Research on evaluation system of cross-border E-commerce platform based on the combined model A mathematical model of PCNN for image fusion with non-sampled contourlet transform Nonlinear Differential Equations in Computer-Aided Modeling of Big Data Technology The Uniqueness of Solutions of Fractional Differential Equations in University Mathematics Teaching Based on the Principle of Compression Mapping Financial customer classification by combined model Influence of displacement ventilation on the distribution of pollutant concentrations in livestock housing Recognition of Electrical Control System of Flexible Manipulator Based on Transfer Function Estimation Method Automatic Knowledge Integration Method of English Translation Corpus Based on Kmeans Algorithm Real Estate Economic Development Based on Logarithmic Growth Function Model Design of Tennis Mobile Teaching Assistant System Based on Ordinary Differential Equations Financial Crisis Early Warning Model of Listed Companies Based on Fisher Linear Discriminant Analysis High Simulation Reconstruction of Crowd Animation Based on Optical Flow Constraint Equation Construction of Intelligent Search Engine for Big Data Multimedia Resource Subjects Based on Partial Least Squares Structural Equation 3D Animation Simulation of Computer Fractal and Fractal Technology Combined with Diamond-Square Algorithm Analysis of the Teaching Quality of Physical Education Class by Using the Method of Gradient Difference The Summation of Series Based on the Laplace Transformation Method in Mathematics Teaching Optimal Solution of the Fractional Differential Equation to Solve the Bending Performance Test of Corroded Reinforced Concrete Beams under Prestressed Fatigue Load Animation VR scene mosaic modeling based on generalized Laplacian equation Radial Basis Function Neural Network in Vibration Control of Civil Engineering Structure Optimal Model Combination of Cross-border E-commerce Platform Operation Based on Fractional Differential Equations The influence of accounting computer information processing technology on enterprise internal control under panel data simultaneous equation Research on Stability of Time-delay Force Feedback Teleoperation System Based on Scattering Matrix BIM Building HVAC Energy Saving Technology Based on Fractional Differential Equation Construction of comprehensive evaluation index system of water-saving irrigation project integrating penman Montei the quation Human Resource Management Model of Large Companies Based on Mathematical Statistics Equations Data Forecasting of Air-Conditioning Load in Large Shopping Malls Based on Multiple Nonlinear Regression Analysis of technical statistical indexes of college tennis players under the win-lose regression function equation Automatic extraction and discrimination of vocal main melody based on quadratic wave equation Analysis of wireless English multimedia communication based on spatial state model equation Optimization of Linear Algebra Core Function Framework on Multicore Processors Application of hybrid kernel function in economic benefit analysis and evaluation of enterprises Research on classification of e-commerce customers based on BP neural network The Control Relationship Between the Enterprise's Electrical Equipment and Mechanical Equipment Based on Graph Theory Mathematical Modeling and Forecasting of Economic Variables Based on Linear Regression Statistics Nonlinear Differential Equations in Cross-border E-commerce Controlling Return Rate 3D Mathematical Modeling Technology in Visualized Aerobics Dance Rehearsal System Fractional Differential Equations in Electronic Information Models BIM Engineering Management Oriented to Curve Equation Model Leakage control of urban water supply network and mathematical analysis and location of leakage points based on machine learning Analysis of higher education management strategy based on entropy and dissipative structure theory Prediction of corporate financial distress based on digital signal processing and multiple regression analysis Mathematical Method to Construct the Linear Programming of Football Training Multimedia sensor image detection based on constrained underdetermined equation The Size of Children's Strollers of Different Ages Based on Ergonomic Mathematics Design Application of Numerical Computation of Partial Differential Equations in Interactive Design of Virtual Reality Media Stiffness Calculation of Gear Hydraulic System Based on the Modeling of Nonlinear Dynamics Differential Equations in the Progressive Method Knowledge Analysis of Charged Particle Motion in Uniform Electromagnetic Field Based on Maxwell Equation Relationship Between Enterprise Talent Management and Performance Based on the Structural Equation Model Method Term structure of economic management rate based on parameter analysis of estimation model of ordinary differential equation Influence analysis of piano music immersion virtual reality cooperation based on mapping equation Chinese painting and calligraphy image recognition technology based on pseudo linear directional diffusion equation Label big data compression in Internet of things based on piecewise linear regression Animation character recognition and character intelligence analysis based on semantic ontology and Poisson equation Design of language assisted learning model and online learning system under the background of artificial intelligence Study on the influence of adolescent smoking on physical training vital capacity in eastern coastal areas Application of machine learning in stock selection Comparative analysis of CR of ideological and political education in different regions based on improved fuzzy clustering Action of Aut( G) on the set of maximal subgroups of p-groups Study on transmission characteristics in three kinds of deformed finlines based on edge-based finite element method Research on loyalty prediction of e-commerce customer based on data mining Algebraic Equations in Educational Model of College Physical Education Course Education Professional English Translation Corpus Under the Binomial Theorem Coefficient Geometric Tolerance Control Method for Precision Machinery Based on Image Modeling and Novel Saturation Function Retrieval and Characteristic Analysis of Multimedia Tester Based on Bragg Equation Semiparametric Spatial Econometric Analysis of Household Consumption Based on Ordinary Linear Regression Model Video adaptive watermark embedding and detection algorithm based on phase function equation English Learning Motivation of College Students Based on probability Distribution Scientific Model of Vocational Education Teaching Method in Differential Nonlinearity Research on mobile Awareness service and data privacy Protection based on Linear Equations computing protocol Vocal Music Teaching Model Based on Finite Element Differential Mathematical Equations Studying a matching method combining distance proximity and buffer constraints The trend and influence of media information Propagation based on nonlinear Differential equation Research on the construction of early warning model of customer churn on e-commerce platform Evaluation and prediction of regional human capital based on optimised BP neural network Study on inefficient land use determination method for cities and towns from a city examination perspective A sentiment analysis method based on bidirectional long short-term memory networks A study of local smoothness-informed convolutional neural network models for image inpainting Mathematical Calculus Modeling in Improving the Teaching Performance of Shot Put Application of Nonlinear Differential Equation in Electric Automation Control System Higher Mathematics Teaching Curriculum Model Based on Lagrangian Mathematical Model Computational Algorithm to Solve Two–Body Problem Using Power Series in Geocentric System Decisions of competing supply chain with altruistic retailer under risk aversion Optimization of Color Matching Technology in Cultural Industry by Fractional Differential Equations The Marketing of Cross-border E-commerce Enterprises in Foreign Trade Based on the Statistics of Mathematical Probability Theory Application of Linear Partial Differential Equation Theory in Guiding Football Scientific Training Nonlinear Channel Estimation for Internet of Vehicles Some Necessary Conditions for Feedback Functions of de Bruijn Sequences The Evolution Model of Regional Tourism Economic Development Difference Based on Spatial Variation Function System Model of Shipping Enterprise Safety Culture Based on Dynamic Calculation Matrix Model An empirical research on economic growth from industrial structure optimisation in the Three Gorges Reservoir area The Inner Relationship between Students' Psychological Factors and Physical Exercise Based on Structural Equation Model (SEM) Analysis and Research on Influencing Factors of Ideological and Political Education Teaching Effectiveness Based on Linear Equation Study of agricultural finance policy information extraction based on ELECTRA-BiLSTM-CRF Fractional Differential Equations in Sports Training in Universities Examination and Countermeasures of Network Education in Colleges and Universities Based on Ordinary Differential Equation Model Innovative research of vertical video creation under the background of mobile communication Higher Education Agglomeration Promoting Innovation and Entrepreneurship Based on Spatial Dubin Model Chinese-English Contrastive Translation System Based on Lagrangian Search Mathematical Algorithm Model Genetic algorithm-based congestion control optimisation for mobile data network