The idea that reform drives innovation and entrepreneurship, and innovation and entrepreneurship drive development, has gradually become the main theme of the new era of Chinese society. As the ‘cradle’ of knowledge and technology innovation and the training and output of innovative talents, colleges and universities are the inevitable choices of the times to conform to the social trend and change to the development model of ‘entrepreneurial universities’. This article takes the reform of the development model of universities in Heilongjiang Province as the research object, and it qualitatively explores the status quo of the reform and development of universities in Heilongjiang Province to entrepreneurial universities, with the aid of the Loet Leydesdorff triple helix algorithm, based on the Web of Science database and national intellectual property ‘patent search and analysis’. The platform conducts data mining, conducts quantitative measurement research on the collaboration relationship between government, industry, university and research, and focuses on Heilongjiang Province for horizontal and vertical empirical analyses. The study proposes suggestions for improvement from the three dimensions of condensing the collaborative awareness of innovation subjects, reforming the development model of scientific research institutions, and improving the efficiency of the absorption and transformation of enterprise scientific and technological achievements. It has certain practical guidance for strengthening the mutual information coordination and structural stability of the government, industry, university and research under the collaborative innovation ecosystem.
Keywords
- collaborative innovation
- triple helix algorithm
- government-industry-university-research collaboration
- mutual information
In the era of knowledge economy, information changes rapidly, market competition tends to become deeper and more complicated, and the mutual penetration between knowledge and economy is becoming stronger. In 2018, the R&D investment intensity of Chinese scientific and technological achievements was 2.14%, which exceeds the average level of 1.97% of the 28 EU countries, which is close to the intensity level of R&D expenditures in developing countries. The national financial science and technology allocations reached 951.82 billion yuan, accounting for 4.30% of the national public financial expenditures. The Chinese government has continuously increased its investment in technological innovation, and the total amount of scientific and technological achievements of innovation represented by government, industry, university and research entities has increased significantly. The aggregation of innovative elements, integration of innovative resources and promotion of the formation of a collaborative innovation ecosystem of multiple entities have become the best way of China to adapt to the era of the knowledge economy [1]. From the perspective of collaborative innovation, building a coupled, symbiotic, stable and coexisting relationship between government, industry, university and research can not only accelerate the release of innovation and entrepreneurship, but also positively drive the efficiency of scientific and technological achievements. It is an inevitable development process to effectively improve regional innovation efficiency [2, 3].
From the perspective of input-output, it is impossible to measure the stability of the internal organisational structure of the collaborative innovation system and the smoothness of information flow. In order to measure the degree of coupling and synergy of collaborative innovation subjects and find the ‘power point’ that promotes cross-border organisational collaboration, Leydesdorff [4] proposed the triple helix (TH) algorithm. Based on the TH innovation theory and information entropy theory, the mutual information transfer value
With regard to the mutual information between innovation subjects as a relative frequency distribution, with the help of Shannon's information theory [7], the probability distribution of a certain information variable
Using the Abramson formula and the Thiel decomposition algorithm, the information transfer amount
Based on Eq. (3), Abramson further expressed the three-dimensional (3D) mutual information transfer amount as follows [10]:
Scientometrics is a series of in-depth quantitative research on scientific and technological achievements, scientific journals, etc., to provide scientific and accurate analysis and evaluation for the operation mechanism, development trend, and application efficiency of knowledge and technology in regions and institutions. In the TH algorithm, the number of scientific papers co-authored and the patent cooperation applications is an important manifestation of the collaborative innovation among various organisations [12]. The data acquisition is more scientific and effective, so it is often used to characterise ‘government-industry-university-research’ innovation with the support of scientometrics and the data source for the quantitative measurement of the degree of coupling and collaboration between subjects [13]. It should be noted that the data acquisition process is based on the principle of fuzzy matching and the co-occurrence of institutional names. Therefore, in order to avoid weakening the authenticity of data in the statistical classification, universities, academies of sciences, research institutes and technology centres committed to knowledge creation and technological innovation will be regarded as research institutions (A). The ‘government-industry-university-research’ synergy relationship with government-industry-university-research organisations at the core can be characterised by the TH algorithm of the ‘research institutions-industry-government’ TH innovation entity measure [14].
The Web of Science database covers the world's most comprehensive high-quality paper information with country addresses, author names, affiliation, etc., and has a comprehensive record of grant funding. It is the preferred data for indicating the source of current research on the degree of collaboration across organisational boundaries. We obtain the data index of the database retrieval by changing the address field within a certain time range, as shown in Table 1.
Definition and acquisition of data variables of scientific papers
A |
Number of papers including information on scientific research institutions | Papers with ‘UNIV*’, ‘COLL*’, ‘ACAD*’, ‘NIH*’ in the address field |
I |
Number of papers including companies information | Papers with ‘GMBH*’, ‘CORP*’, ‘LTD*’, ‘AG*’, ‘INC*’ in the address field |
G |
Number of papers including government information | Papers with ‘NATL*’, ‘NACL*’, ‘NAZL*’, ‘GOVT*’, ‘MINIST*’, ‘ACAD*’, ‘CNRS*’ in the address field |
AI |
Number of papers including both scientific research institutions and companies information | The address field contains the number of papers representing both A |
G |
Number of papers including information about scientific research institutions in the G |
The number of papers containing A |
GI |
Number of papers including both government and corporate information | The address field contains the number of papers representing G |
G |
Number of papers including information about companies in the G |
The number of papers containing I |
Based on the national intellectual property ‘patent search and analysis’ platform, we classified search ‘patent applicant’ information to characterise the data source of patent cooperation in the TH algorithm. Patent applicants are generally organisations with technological creativity, such as the company's R&D department, scientific research institutes and universities, so it is mainly based on a certain time frame, scientific research institutions (A
Patents with the ‘university, college, research institute’ field in the applicant information belong to the A
Using the bibliometric trend change mining 1.0 software to clean the data of the retrieved scientific papers and patent titles, the valid data variables are retained and the data indicators of the intermediate variables are automatically obtained. Then the TH is performed according to the calculation formula in Table 2 to obtain the algorithm variable conversion summary. The A, I, G, AI, AG, GI, AGI values are input into the specific program th.exe of the TH algorithm, and then the
Variable definition and calculation formula of collaborative innovation measure
A | The number of papers and patents exported only by scientific research institutions | A = A |
I | The number of papers and patents output only by the companies | I = I |
G | The number of papers and patents output only by government | G = G |
AI | The number of papers and patents jointly published or applied only by scientific research institutions and enterprises | AI = AI |
AG | The number of papers and patents jointly published or applied only by scientific research institutions and government | AG = G |
GI | The number of papers and patent jointly published or applied only by government and enterprises | GI = GI |
AGI | The number of papers and patents output by government agencies, scientific research institutions and enterprises | AGI = G |
As a traditional industrial base, Heilongjiang Province, centring on the foundation and advantages of scientific and technological innovation, deeply connects with national plans and developments such as ‘Made in China 2025’ and ‘Science and Technology Innovation 2030-Major Projects’ and actively explores collaborative innovation mechanisms that serve the regional economy. It established an industry-university-research alliance mechanism to serve development strategies such as the ‘Harbin-Daqing-Qijiang Industrial Corridor’ and the ‘Russian Economic and Trade Strategy’. It also established innovation and entrepreneurship pilot zones, technology transformation centres and other organisations. It initiated the university students’ innovation and entrepreneurship in 2018. Based on the TH collaborative innovation ecosystem built in Heilongjiang Province, this paper uses the TH algorithm to conduct research on the degree of mutual information collaboration of the TH innovation subject ‘research institution-industry-government’ under the collaborative innovation system from both horizontal and vertical dimensions. It comprehensively measures and quantitatively analyses the output of scientific and technological achievements of research institutions-industry-government, and the coordination and stability of the collaborative innovation ecosystem, and optimises the overall system.
According to the ‘China Regional Innovation Capability Evaluation Report 2019’, from the comprehensive ranking of the innovation environment based on factors such as innovation infrastructure, entrepreneurship level, market environment and labour quality factors, Jilin and Liaoning Provinces, which rank close to Heilongjiang Province, were selected after conducting a horizontal comparative analysis of the degree of collaborative innovation coupling. We retrieved and extracted the panel data information of scientific papers and patent achievements in the three northeastern provinces in 2019. After data cleaning and classification transformation, the data of government, industry, university and research in each province are as summarised in Table 3.
Summary of scientific papers and patent achievements
Heilongjiang | 8362 | 4494 | 702 | 3166 | 2147 | 290 | 1180 |
Jilin | 8980 | 5203 | 100 | 4869 | 1523 | 189 | 1234 |
Liaoning | 10,351 | 8577 | 180 | 3858 | 2876 | 306 | 728 |
From the data of Heilongjiang, Jilin and Liaoning Provinces, the main strength in the output of papers and patents is scientific research institutions (A), accounting for 41.11%, 40.94% and 38.66% of the total output of papers and patents in each province in 2019. The total amount of knowledge and technology output of interaction and integration between scientific research institutions and the government or industrial enterprises is 5313, 6392 and 6734, respectively, which is much higher than the number of results of intercommunication and collaboration between the government and enterprises (GI). The backbone and promoter of collaborative innovation system development is universities and scientific research institutions (A) and industrial enterprises (I). (A) and (I) achieved remarkable results in the knowledge creation and innovation system, but the collaborative output (AI) of the two parties still has a lot of plastic development space compared with the interactive cooperation (AG) of the government and scientific research institutions. A number of studies have shown that the application of knowledge and technological achievements shared by universities and industrial enterprises has great scalability potential, and is a sharp edge in improving the efficiency of transformation of technological achievements and the development efficiency of regional collaborative innovation ecosystems. In the 2019 regional innovation capability rankings, among the three provinces, Liaoning Province, which has the highest total AI and AGI, was ranked 19th, and Jilin and Heilongjiang Provinces ranked 27th and 28th, respectively. Therefore, for Heilongjiang Province, expanding the path of industry-university-research cooperation can further enhance the competitiveness of regional collaborative innovation and inject new vitality into Longjiang's economic transformation and development.
The information transfer amount
Two-dimensional and three-dimensional T value in the three northeastern provinces
Heilongjiang | 49.82 | 11.73 | 0.25 | −309.21 |
Jilin | 51.24 | 9.27 | 0.55 | −345.13 |
Liaoning | 43.72 | 12.93 | 0.49 | −302.14 |
Based on 20-year time series data indicators, a 5-year time period is used to longitudinally explore the changing trends of the collaborative innovation system in Heilongjiang Province (Table 5). Since 2015, China has comprehensively deepened the reform of innovation and entrepreneurship education. Heilongjiang Province, which has 81 universities including Harbin Institute of Technology, 21 institutes directly under the central government, and 139 provincial scientific research institutes, has actively studied and responded to the call and implemented the national innovation-driven development strategy deployment. Variable indicators of A, AG, AI and GAI have increased significantly in the past 5 years, especially the independent output of universities and other research institutions and the results of interaction and collaboration with the government. Although the R&D and innovation of industrial enterprises only increased from 1 to 308, their joint output with universities and other institutes (AI) increased from 12 to 2904, a growth rate of 87.30% in the past 5 years, reflecting the new economic condition. The technological competition among industrial enterprises in Heilongjiang Province has consciously focused on cooperation and win–win cooperation with research institutions. Considering the high knowledge and technology output capabilities of universities and other scientific research institutions, there is still a lot of room for exploration in the interactive cooperation between research institutions and industrial enterprises and the joint output of research institutions and governments. The ability of industrial enterprises to absorb knowledge spillovers meets the needs of the industry competitive demand and can consolidate and extend its indisputable service regional economic development status.
Number of scientific papers and patents from 2000 to 2019
2000–2004 | 108 | 80 | 2 | 18 | 12 | 63 | 3 |
2005–2009 | 738 | 346 | 18 | 129 | 92 | 329 | 42 |
2010–2014 | 2533 | 1013 | 900 | 716 | 369 | 526 | 375 |
2015–2019 | 16,547 | 6308 | 1417 | 7514 | 2904 | 3690 | 2857 |
From the data in Table 5, we can further visually express the proportions of the four 2D and 3D variable indicators in the total output in each time dimension (Figure 1). Research institution-government cooperation (AG) and research institution-industry-government cooperation (GAI) output results have a significant increase in proportion of the collaborative innovation ecosystem, while the proportion of knowledge and technology achievements of research institutions and enterprise collaboration (AI) has been stable in various periods. The level of joint output and synergy matches with the development of the innovation ecosystem; however, compared with the collaborative development of research institutions and government, the interactive communication between the two is suppressed by barriers of the mechanism and system, and the potential for development capabilities has not been effectively stimulated. The cooperation between government and industrial enterprises (GI) dropped from 2.04% to 0.05%. However, with implementation of the action plans of Heilongjiang Province for cultivation of innovative enterprises and construction of science and technology parks, the results of cooperation between 2015 and 2019 showed a clear upward trend.
Fig. 1
Trend of the ratio of AG, AI, GI and AIG

Compared with the period of 2000–2004, in the following 15 years, the interaction and collaboration between 2D innovation subjects has declined to a greater extent (Table 6), and the coupling and collaboration between industrial enterprises and research institutions have shown a serious weakening trend. The joint output of the authors increased significantly from the initial 12 to 2904, but the structural stability of the coupled system formed by the two and the efficiency of the knowledge and information flow is relatively low. Between 2000 and 2009, the amount of mutual information
Two-dimensional mutual information transfer volume in 2000–2019
2000–2004 | 48.95 | 64.26 | 100.41 |
2005–2009 | 26.01 | 23.83 | 80.98 |
2010–2014 | 18.06 | 25.42 | 40.52 |
2015–2019 | 9.54 | 37.02 | 32.18 |
As shown in Figure 2, from 2000 to 2014, the negative value of the amount of 3D mutual information transfer in Heilongjiang Province became smaller and smaller, indicating that the structural stability and overall effectiveness of the collaborative innovation system comprising research institutions-industrial enterprises-government has gradually increased and the overall effectiveness of the system has been effectively optimised. However, after 2015, with continuous advancement of the ‘Thirteenth Five-Year Science and Technology Innovation Plan of Heilongjiang Province’, the implementation of various activity plans such as the strategic alliance of industrial technology innovation and the scientific and technological innovation base, although the total output of scientific papers and patents is significant, the synergy of innovation entities represented by the amount of 3D mutual information transfer has not been consolidated and optimised overall, and the structural stability of the innovation system has weakened.
Fig. 2
Heilongjiang Province 2000–2019 3D mutual information transfer volume

Through a comprehensive empirical analysis of the TH collaborative innovation system in Heilongjiang Province, we found that universities and other research institutions independently produced knowledge and technology achievements in different provinces. In addition, in different periods they are always far ahead, and knowledge and technology high-output institutions have become the promotion grounds of collaborative innovation ecology. The backbone of system development, the collaborative innovation system of coupling and symbiosis, needs to maintain a good hyper-cycle of information among subsystems such as universities, enterprises and governments [15]. The monopoly of research institutions will only increase the overall instability of the system. However, Heilongjiang Province has shown a weak degree of coordination in the interaction and cooperation between scientific research institutions and enterprises or government organisations. There are weak links in the process of knowledge and technology marketisation, especially the weak coupling of mutual information between scientific research institutions and enterprises. This will inevitably restrict the release of regional innovation competitiveness. For companies that can bring about huge social and economic impacts, the awareness and ability of innovation and creativity are still insufficient, and they are easily eliminated in the rapidly changing market economy. To this end, we propose the following suggestions.
Heilongjiang Province has shown a weakening trend in the amount of mutual information transfer that char-acterises the degree of super-circular synergy between the three-helix collaborative innovation subjects, which to a certain extent reflects every innovation. None of the subjects took the initiative to promote the coupling and symbiosis of the system. They were more compatible with some of the unique capabilities of the other two subjects, and the synergy across organisational boundaries was not better utilised [16]. The institutional reform has the characteristics of self-reinforcing, and a weak sense of coordination will solidify the functional positioning of the innovation subject and weaken the synergy of collaboration between innovation subjects.
To cultivate the collaborative cultural ideology of the innovation subject in the TH collaborative innovation ecosystem, the innovation subsystem must be guided by the common goal of ‘using collaborative innovation to guide the rapid development of the regional economy’; this sense of collaboration is based on a sound benefit distribution mechanism. Cross-organisation project cooperation should not only satisfy the academic value pursuit of scientific research institutions, but also meet the pursuit of corporate economic interests and the social interests of the government [17, 18].
Knowledge innovation and technology transformation are important sources of social development in the era of knowledge economy [19]. As the core body of knowledge production and output, universities and other research institutions, on the basis of cognitive ability and intellectual level, are teaching and researching to meet the needs of national and regional economic development. To realise the smooth and orderly interactive sharing of information and resources with the external environment, and to rationally promote transformation of the entrepreneurial model of knowledge and technology capitalisation has become an inevitable choice under the new normal era of the economy. At the level of knowledge creation, to do fine and detailed innovation and entrepreneurship education, we must break down the barriers between departments and disciplines, form an interdisciplinary research team, and fully create an atmosphere for the interactive sharing of resources and information among internal organisations. It is important to deeply establish mutual assistance and cooperation links between research institutions and enterprises and other collaborative innovation subsystems, promote the development of collaborative education and collaborative research, and maximise the output of human resources and technical resource information required by the TH innovation subsystem. At the level of knowledge application, universities and other scientific research organisations must consciously establish an ideological awareness of the dual rationality of economy and culture. On the basis of ensuring the output of high-quality technical results, it is important to pay attention to the commercialisation and capitalisation of knowledge and technology, and change the production of those technical results behind closed doors that result in low social value.
Perkmannm's research on the cooperation between universities and enterprises has shown that the interactive cooperation between industry, university and research would promote the emergence of technological achievements and improve the efficiency of technological achievements transformation in a recursive manner. In China, as the main body of technological innovation, enterprises have not fully realised their functional advantages as ‘transformers’ of technological achievements in the TH collaborative innovation system [20]. In 2018, the basic research funding of enterprises only accounted for 0.20% of the total R&D funding. Enterprises must pay attention to the construction of basic R&D platforms so that they can have a certain absorption capacity to undertake transformation of the overflow of scientific and technological achievements from universities and other research institutions. Regional basic industries should prioritise technological innovation, actively seek synergy and win–win cooperation with other innovation entities, build strategic alliances of industrial technology innovation and implement technical support from research institutions [21]. On one hand, they need to deepen the innovation-oriented transformation of basic industries to ensure that they can maintain their competitive advantage in the market and sustainable technological innovation vitality. On the other hand, they need to seize the new opportunities of technological innovation of prioritised industries to effectively enhance regional innovation competitiveness.
Fig. 1

Fig. 2

Definition and acquisition of data variables of scientific papers
A |
Number of papers including information on scientific research institutions | Papers with ‘UNIV*’, ‘COLL*’, ‘ACAD*’, ‘NIH*’ in the address field |
I |
Number of papers including companies information | Papers with ‘GMBH*’, ‘CORP*’, ‘LTD*’, ‘AG*’, ‘INC*’ in the address field |
G |
Number of papers including government information | Papers with ‘NATL*’, ‘NACL*’, ‘NAZL*’, ‘GOVT*’, ‘MINIST*’, ‘ACAD*’, ‘CNRS*’ in the address field |
AI |
Number of papers including both scientific research institutions and companies information | The address field contains the number of papers representing both A |
G |
Number of papers including information about scientific research institutions in the G |
The number of papers containing A |
GI |
Number of papers including both government and corporate information | The address field contains the number of papers representing G |
G |
Number of papers including information about companies in the G |
The number of papers containing I |
Summary of scientific papers and patent achievements
Heilongjiang | 8362 | 4494 | 702 | 3166 | 2147 | 290 | 1180 |
Jilin | 8980 | 5203 | 100 | 4869 | 1523 | 189 | 1234 |
Liaoning | 10,351 | 8577 | 180 | 3858 | 2876 | 306 | 728 |
Variable definition and calculation formula of collaborative innovation measure
A | The number of papers and patents exported only by scientific research institutions | A = A |
I | The number of papers and patents output only by the companies | I = I |
G | The number of papers and patents output only by government | G = G |
AI | The number of papers and patents jointly published or applied only by scientific research institutions and enterprises | AI = AI |
AG | The number of papers and patents jointly published or applied only by scientific research institutions and government | AG = G |
GI | The number of papers and patent jointly published or applied only by government and enterprises | GI = GI |
AGI | The number of papers and patents output by government agencies, scientific research institutions and enterprises | AGI = G |
Two-dimensional and three-dimensional T value in the three northeastern provinces
Heilongjiang | 49.82 | 11.73 | 0.25 | −309.21 |
Jilin | 51.24 | 9.27 | 0.55 | −345.13 |
Liaoning | 43.72 | 12.93 | 0.49 | −302.14 |
Number of scientific papers and patents from 2000 to 2019
2000–2004 | 108 | 80 | 2 | 18 | 12 | 63 | 3 |
2005–2009 | 738 | 346 | 18 | 129 | 92 | 329 | 42 |
2010–2014 | 2533 | 1013 | 900 | 716 | 369 | 526 | 375 |
2015–2019 | 16,547 | 6308 | 1417 | 7514 | 2904 | 3690 | 2857 |
Two-dimensional mutual information transfer volume in 2000–2019
2000–2004 | 48.95 | 64.26 | 100.41 |
2005–2009 | 26.01 | 23.83 | 80.98 |
2010–2014 | 18.06 | 25.42 | 40.52 |
2015–2019 | 9.54 | 37.02 | 32.18 |
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Research on motion capture of dance training pose based on statistical analysis of mathematical similarity matching Application of data mining in basketball statistics Application of B-theory for numerical method of functional differential equations in the analysis of fair value in financial accounting Research on the influence of fuzzy mathematics simulation model in the development of Wushu market Study on audio-visual family restoration of children with mental disorders based on the mathematical model of fuzzy comprehensive evaluation of differential equation Difference-in-differences test for micro effect of technological finance cooperation pilot in China Application of multi-attribute decision-making methods based on normal random variables in supply chain risk management Exploration on the collaborative relationship between government, industry, and university from the perspective of collaborative innovation The impact of financial repression on manufacturing upgrade based on fractional Fourier transform and probability AtanK-A New SVM Kernel for Classification Validity and reliability analysis of the Chinese version of planned happenstance career inventory based on mathematical statistics Visual positioning system for marine industrial robot assembly based on complex variable function Mechanical behaviour of continuous girder bridge with corrugated steel webs constructed by RW Application of Lane-Emden differential equation numerical method in fair value analysis of financial accounting Regression function model in risk management of bank resource allocation Application of numerical method of functional differential equations in fair value of financial accounting Optimal solution of fractional differential equations in solving the relief of college students’ mental obstacles Risk contagion in financial markets based on copula model Calculating university education model based on finite element fractional differential equations and macro-control analysis Automatic parameter selection ZVD shaping algorithm for crane vibration suppression based on particle swarm optimisation Educational research on mathematics differential equation to simulate the model of children's mental health prevention and control system Analysis of enterprise management technology and innovation based on multilinear regression model Verifying the validity of the whole person model of mental health education activities in colleges based on differential equation RETRACTION NOTE Calculation of tourism development income index based on finite element ordinary differential mathematical equation Adoption of deep learning Markov model combined with copula function in portfolio risk measurement Radar system simulation and non-Gaussian mathematical model under virtual reality technology Comparison of compression estimations under the penalty functions of different violent crimes on campus through deep learning and linear spatial autoregressive models Research and application of constructing football training linear programming based on multiple linear regression equation Research on management evaluation of enterprise sales cash flow percentage method based on the application of quadratic linear regression equations Mathematical simulation analysis of optimal detection of shot-putters’ best path Determination of the minimum distance between vibration source and fibre under existing optical vibration signals: a study Mathematical modelling of enterprise financial risk assessment based on risk conduction model Nonlinear differential equations based on the B-S-M model in the pricing of derivatives in financial markets Mathematical simulation experiment based on optimisation of heat treatment process of aluminium alloy materials Mathematical model of transforming image elements to structured data based on BP neural network Educational reform informatisation based on fractional differential equation 3D Mathematical Modelling Technology in Visual Rehearsal System of Sports Dance MCM of Student’s Physical Health Based on Mathematical Cone Sports health quantification method and system implementation based on multiple thermal physiology simulation Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations Informationisation of teaching model for track and field education based on finite element higher-order fractional differential equation Research on identifying psychological health problems of college students by logistic regression model based on data mining Information technology of preschool education reform of fine arts based on fractional differential equation Information Teaching Model of Preschool Art Education in Colleges and Universities Based on Finite Element Higher-Order Fractional Differential Equation A mathematical model of PCNN for image fusion with non-sampled contourlet transform Application of artificial intelligence algorithm in mathematical modelling and solving College Students’ Mental Health Climbing Consumption Model Based on Nonlinear Differential Equations Communication architecture of power monitoring system based on incidence matrix model Differential equation to verify the validity of the model of the whole-person mental health education activity in Universities Optimisation of Modelling of Finite Element Differential Equations with Modern Art Design Theory Analysis and Prediction of College Students’ Mental Health Based on K-means Clustering Algorithm Mathematical function data model analysis and synthesis system based on short-term human movement Human gait modelling and tracking based on motion functionalisation Analysis and synthesis of function data of human movement Energy-saving technology of BIM green buildings using fractional differential equation Study on the training model of football movement trajectory drop point based on fractional differential equation Financial Accounting Measurement Model Based on Numerical Analysis of Rigid Normal Differential Equation and Rigid Functional Equation User online consumption behaviour based on fractional differential equation Differential equation model of financial market stability based on Internet big data Multi-attribute Decision Method Based on Normal Random Variable in Economic Management Risk Control Children’s cognitive function and mental health based on finite element nonlinear mathematical model Dichotomy model based on the finite element differential equation in the educational informatisation teaching reform model Nonlinear Dissipative System Mathematical Equations in the Multi-regression Model of Information-based Teaching Stock price analysis based on the research of multiple linear regression macroeconomic variables Fractional Linear Regression Equation in Agricultural Disaster Assessment Model Based on Geographic Information System Analysis Technology