Growth: A Journal of Mathematics and Mathematics Education
ISSN: xxxx-xxxx
Growth: A Journal of Mathematics and Mathematics Education aims to provide a publication platform for high quality undergraduate research in mathematics and in mathematical pedagogy. The technical scope of the journal is combinatorial mathematics, broadly interpreted—the editorial board will consider all submissions in their areas of interest. All submitted articles must have an undergraduate research component and must be certified by a senior researcher. All submissions will be peer reviewed according to standard practices in academic mathematics. Precise editorial policies are set by the editorial board.
- Research article
- https://doi.org/10.61091/jcmcc127a-380
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6845-6858
- Published Online: 15/04/2025
In order to improve the teaching effect of dynamic structural behavior simulation in structural engineering teaching, this study develops a dynamic structural behavior simulation teaching model combined with the finite element method to explore the effect of its application in teaching. This paper first introduces the process of applying the finite element method to simulation teaching and the steps of structural engineering system development. After that, it introduces the common structural engineering analysis functions under ANSYS software and its application in various aspects of structural engineering teaching. Then the construction process of the dynamic structural behavior simulation teaching model is briefly described, and the finite element principle is combined with the actual engineering problems through the integration of case teaching to realize the deep integration of theory and practice. Finally, the teaching model of dynamic structural behavior simulation is constructed and the teaching evaluation system after applying the model. The results of teaching practice show that more than 95% of the students maintain a positive attitude towards the use of the model in this paper. Under the teaching mode of the simulation model visualizing dynamic behavioral characteristics, the average grade of students in the experimental group was significantly higher than that of the control group by 14.96 points, and the difference between the grades of students in the two classes was significant (P=0.000). It can be seen that the use of the model can improve the students’ understanding of dynamic structural mechanical behavior and the application of finite element analysis tools, which provides an efficient platform for combining theory and practice for structural engineering teaching.
- Research article
- https://doi.org/10.61091/jcmcc127a-379
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6829-6844
- Published Online: 15/04/2025
Following the footsteps of the times, an excellent and complete movie cannot be separated from the application of digital modeling. In this paper, we mainly use 3D modeling, motion capture, rendering and other related technologies to edit and produce the character’s physique, proportion, contour, etc., design the character’s expression, color and action, and build the film and television scenes in 3D space. Thus, it realizes the characterization and emotional expression in film and television. Will be through the traditional 2D film and television and three-dimensional film and television control experiments, from the experimental data can be seen, in the frame rate, three-dimensional modeling technology film and television than the traditional 2D film and television on average 14% to 20% higher. There is also a leading edge in the number of textures. The data color emotion analysis indicated that the color shift and strong contrast connects the plot and the audience’s feelings. The quantitative survey of emotional experience through questionnaires shows that the audience in the 3D film and television group is higher than the traditional 2D film and television in terms of immersion experience, interaction experience and learning and enjoyment experience. Therefore, 3D modeling technology plays an important role in the creation of film and television art.
- Research article
- https://doi.org/10.61091/jcmcc127a-378
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6811-6827
- Published Online: 15/04/2025
The study proposes a dynamic resource allocation model suitable for English language teaching, which combines learner characteristics, learning progress and resource availability to achieve real-time optimal allocation of resources through mathematical optimization algorithms. A multi-objective optimization model is constructed based on the key factors in resource allocation for English teaching. Facing the optimization objectives of maximizing learning efficiency and minimizing resource idleness, NSGA-II algorithm is used to construct a non-dominated solution to achieve global sorting, and combined with congestion calculation to complete global quality population screening. At the same time, the branch delimitation algorithm is utilized for local search of optimal solutions, and merged with the population of NSGA-II to generate the new generation of optimal populations. The optimization probability of the combined algorithm in this paper is 0.85, and the average convergence error is only 0.01081, which has excellent optimization performance. The resource allocation delay of this algorithm is around 0.1ms, and the allocation efficiency is more than 95%, and the comprehensive effectiveness is better than the comparison algorithm. The dynamic allocation model of resources in this paper improves the balance of resource allocation of English teaching and auxiliary room area, the number of teaching materials, the number of full-time teachers and teaching equipment. At the same time, it prompted the average English score of the experimental class to exceed 80, which was significantly higher than that of the control class.
- Research article
- https://doi.org/10.61091/jcmcc127a-377
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6797-6809
- Published Online: 15/04/2025
How to give full play to the clarinet in the symphony orchestra in the sound advantages and characteristics of the role, undoubtedly is an important topic of the current music research. Combined with years of working practice and learning experience in the symphony orchestra, the author explains the tonal advantages and characteristics of the clarinet in the symphony orchestra. For the study of the relationship between its tonal advantages and characteristics and the symphonic concerto, the author combines the finite element method in the music education environment, through the method of computational simulation, to explore the symphonic performance conditions, as well as the main discussion on the analysis of the boundary conditions with the vibration velocity and sound-absorbing materials, in order to achieve the purpose of improving the clarinet’s musical and artistic level in the symphony orchestra. Through the study, we found that the numerical simulation of the relationship between the clarinet technology and the symphony orchestra concerto is analyzed by the local fundamental solution method with high computational accuracy, which lays the foundation for the successful application of this method to the numerical simulation of the sound field of the complex music education environment.
- Research article
- https://doi.org/10.61091/jcmcc127a-376
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6779-6796
- Published Online: 15/04/2025
Cheerleading events are flourishing in China, the level of competition is rising, the number of competition groups and programs is increasing, the competition is becoming more and more intense, and the innovative research on formation design is an inevitable demand for the development trend of cheerleading. The study designed a multi-objective path planning model based on the intensity of willingness and consultation strategy, so that college cheerleading can avoid conflicts and reach the goal point of cheerleaders in the complex environment. Then an improved multi objective particle swarm algorithm (MOPSO-CA) based on meta cellular automata is proposed and applied to college cheerleading formations to realize the design of college cheerleading formations. The simulation results show that the MOPSO-CA algorithm can re-select the optimal movement direction angle according to the real-time positions of the moving obstacles and moving targets, which illustrates the effectiveness of the algorithm. Secondly the feasibility of the formation design conditions are suggested as: keeping the originality of the movement, the use of the moving route of the formation and the space of the venue, and the type of formation change.
- Research article
- https://doi.org/10.61091/jcmcc127a-375
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6759-6777
- Published Online: 15/04/2025
The article solves problems such as personalized investment, and then achieves the expected effect of investment decision-making. The article firstly designs an investment decision support model based on collaborative filtering, elaborates the implementation path to realize investment decision support from the perspective of machine learning, and then combines the user image technology to design the user image labeling system and model construction. Finally, the effectiveness and rationality of the proposed method in this paper are verified through experiments. Experiments on a corporate investment decision support task on a company’s dataset reveal that the method proposed in this paper has good performance on all metrics, with the highest value of 0.6985 on AUC.This gives an indication of the effectiveness of the financial data analysis and investment decision support model proposed in this paper.
- Research article
- https://doi.org/10.61091/jcmcc127a-374
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6737-6757
- Published Online: 15/04/2025
The Three Gorges Reservoir Area is a hotspot for landslide disasters, with many landslide development patterns and influencing factors remaining unclear. The slip zone soil, a weak interlayer between the sliding mass and the bedrock, has inherently low strength, which is a critical factor in landslide occurrence. Water is one of the most active elements reducing the shear strength during the formation of the slip zone. Given the particularity of reservoir bank water-related landslides, the mineral composition and geochemical characteristics of the slip zone and its surrounding rocks and soils exhibit significant variations across different geological periods and environments. These changes reveal the mechanisms and extent of water-rock interactions, further clarifying the fundamental reasons for the reduction in shear strength of the slip zone. The results show that in the Liujiaobao landslide in Quchi Township, Wushan County, Chongqing, within the Three Gorges Reservoir area, the composition of minerals and the content of major chemical elements in the slip zone soil and its surrounding rocks and soils indicate that the slip zone and surrounding rocks and soils form the material basis for the slip zone. During its formation, the groundwater in the slip zone is closely connected with external hydraulic forces, continuously influenced by groundwater, leading to changes in the physical properties of the rock and soil mass. This is accompanied by the hydrolytic mudification of marl debris, dissolution of calcite, and interconversion among clay minerals, which are the main reasons for the attenuation of the shear strength of the slip zone soil.
- Research article
- https://doi.org/10.61091/jcmcc127a-373
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6723-6735
- Published Online: 15/04/2025
In this paper, on the basis of relevant theories, based on the adversarial training of BERT-PGD-BiLSTMCRF entity recognition model and relationship extraction technique to complete the entity extraction and relationship extraction, and then use the entity linking method that fuses attribute and semantic features (BERT+CBOW+CLS) to complete the construction of the knowledge graph and the supplementation of the knowledge graph, and the data is imported into the Neo4j Storage and Display. The symbols contained in the above knowledge graph for the city cultural image in translanguaging practice are divided into three hierarchical symbols, and the symbols are analyzed in terms of flow. In terms of single language usage, English has the highest proportion (22.57%), and Chinese has the best proportion (63.19%) in the process of urban cultural image construction, highlighting the dominant position of Chinese in urban cultural image construction. During the twenty-year period from 2004 to 2023, the trend of social behavioral symbols growth is significantly higher than that of material and spiritual symbol layers, which fits well with the current social development trend.
- Research article
- https://doi.org/10.61091/jcmcc127a-372
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6707-6722
- Published Online: 15/04/2025
Artificial Intelligence (AI) is increasingly used in medical research, especially in the analysis and interpretation of medical data. In this study, based on the traditional CARS model, we built a framework for thesis abstract language step research by categorizing fuzzy steps into optional steps and adding appropriate key steps to the language steps. With the help of artificial intelligence technology, an extraction model of key elements of abstracts incorporating the attention mechanism is constructed, aiming at screening the elemental utterances in abstracts. Finally, by collecting data from medical related papers in CNKI, Web of Science and other databases, the CARS modeling strategy based on artificial intelligence is implemented in the comparative analysis of medical paper abstracts in English and Chinese. Through the comparative analysis, it is found that the number of sentences in English abstracts is concentrated in 6-7 sentences, while the number of sentences in Chinese abstracts is scattered in 2-8 sentences. The percentage of the use of Chinese sentences on English abstract writing is the highest, with an average percentage of 45.24%. The frequency of the first 20 words of fuzzy restrictive phrases in English abstracts was significantly higher than that in Chinese abstracts. The organization of Chinese and English abstracts was mostly in the structure of “introduction method-results-discussion”, which accounted for 54% and 71%, respectively. In addition, the frequency of steps indicating gaps in the research area is higher in English than Chinese abstracts.
- Research article
- https://doi.org/10.61091/jcmcc127a-371
- Full Text
- Journal of Combinatorial Mathematics and Combinatorial Computing
- Volume 127a
- Pages: 6693-6706
- Published Online: 15/04/2025
In the current process of social development, reimbursement has become a generally accepted phenomenon. With the improvement of economic level and the improvement of people’s living standards, all walks of life have developed rapidly, which also provides new ideas for the financial reimbursement system and financial management. At present, most of the financial reimbursement processing is conducted manually, which can not meet people’s requirements for work efficiency. Moreover, there are many limitations, which are very unfavorable for enterprises. Therefore, it is necessary to take reasonable and effective measures to strengthen the improvement and optimization of the financial reimbursement system, so as to ensure the safe and efficient operation of funds. Image recognition technology is an indispensable and important means of modern information management. It can automatically extract data information and analyze statistics, which brings great convenience to financial reimbursement. This paper mainly studied the problems related to financial reimbursement based on the process of image recognition and denoising, and put forward some suggestions for the design of financial reimbursement image recognition system. It is hoped that it can promote its better application in practical work, so as to achieve the purpose of improving economic efficiency and ensuring the security of funds, and at the same time help further promote the healthy and orderly development of enterprise construction. This paper compared the traditional manual reimbursement method with the financial reimbursement automatic entry system based on image recognition. The results showed that the error of automatic input system was smaller than that of manual mode, and the degree of automation was higher; in addition, the accuracy rate of reimbursement voucher identification and review had also increased by about 6.34%. Therefore, this method has good advantages and practicability, and this method is conducive to reducing the workload of staff and facilitating the follow-up work. To sum up, electronic imaging technology can analyze and process data with the help of image processing means, thus obtaining corresponding results. It is convenient to adjust the accounting process as needed and timely in the process of financial management, so as to make the overall financial reimbursement work more standardized and unified.




