Yang Liu
Based on the general principles of "Zong Yi Ning Qi" (宗漪凝契)—specifically the core framework of "topology as the root, wave as the soul, and the three identities across three realms"—this paper focuses on black holes as extreme spacetime celestial bodies to construct a unified mathematical model of "…
Jian-Sheng Kang, Jian-Sheng Kang
Consciousness is considered the most challenging problem in the science of the mind, especially Chalmers' hard problem. From the standpoint of systems science philosophy, many consciousness theories overlook the structure-function correlation principle, thereby reducing their explanatory power regar…
Wang Hongyu, Wang Long, Wang Long
Systematically excavating strategies with long-term evolutionary advantages in multi-agent systems constitutes a pivotal challenge in evolutionary game theory, complex systems science, and artificial intelligence research. This paper proposes and implements a unified strategy search framework—AI4Gam…
Hanxin Liu, Yisheng Song, Yisheng Song
The image noise level indicates the degree to which an image is contaminated by noise, serving as a crucial parameter in image processing. For the third-order tensor corresponding to a color image, traditional methods for estimating the noise level disrupt the data structure of the tensor. To addres…
Du Zhuolin, Song Yisheng, Song Yisheng
Based on the tensor-based large margin distribution and the nonparallel support tensor machine, we establish a novel classifier for binary classification problem in this paper, termed the Large Margin Distribution based NonParallel Support Tensor Machine (LDM-NPSTM). The proposed classifier has the …
ChunhuiLAI
In 1975, P. Erd\"{o}s proposed the problem of determining themaximum number $f(n)$ of edges in a graph of $n$ vertices inwhich any two cycles are of different lengths. In this paper, it is proved that $$f(n)\geq n+36t$$ for $t=1260r+169 \,\ (r\geq 1)$ and $n \geq 540t^{2}+\frac{175811}{2}t+\frac{798…
Zhetong Li, Yanshuo Huang, Xiaoxian Pang, Qian Chen, Ling She, Zhetong Li, Yanshuo Huang
According to data from the National Bureau of Statistics, as of 2023, China's elderly population aged 60 and above has exceeded 296 million, accounting for 21.1% of the total population. This figure underscores the severity of population aging in China. Against this macro backdrop, traditional elder…
SHI Hao, SHI Hao
In alignment with China’s national strategic plan, Zhejiang Province officially launched the World Bank-financed "Zhejiang Qiandao Lake and Xin’an River Basin Water Resources and Ecological Environment Protection Project" in November 2018. This paper uses an ARIMAX INTERVENTION model to quantitative…
Sun Huanyu, Xie Yuantao
Vehicle insurance pricing, as one of the core issues in actuarial science, impacts the profitability and capital liquidity of insurance companies. This literature review briefly elaborates on the development of motor insurance across different regions and discusses historical research related to mot…
Xiaojun Hu, Yu Liu, Yu Liu
We present a new method for structural sequence analysis grounded in Algorithmic Information Theory (AIT). At its core is the Ladderpath approach, which extracts nested and hierarchical relationships among repeated substructures in linguistic sequences---an instantiation of AIT’s principle of descri…
Yan Zhou, Zhuang Cui, Wei Zhang, Ruimei Li, Yan Zhou, Ruimei Li
A fractional-order proportional-derivative controller is designed to address bifurcation issues in a dual-time-delay fractional-order predator-prey model. By selecting different delays as bifurcation parameters, the stability and Hopf bifurcation conditions of the controlled system are derived. The …
Limin Zhang
Natural language is considered closely intertwined with human cognition, with linguistic structures posited to offer profound insights into the cognitive system. However, as a coding system, natural language encodes diverse objects into unified forms; its prominent formal features capture people’s a…
Zhao Sanglin, Zhao Sanglin
As a key sector of energy consumption and carbon emissions, the construction industry's carbon reduction initiatives hold significant strategic importance for achieving the "dual carbon" goals. Based on data from Chinese listed construction enterprises from 2000 to 2021, this study empirically inves…
Yifeng Wang, Yi Zhao
Keyboard-based interaction may not accommodate various needs, especially for individuals with disabilities. While inertial sensor-based writing recognition is promising due to the sensors’ small size, wearability, and low cost, accurate recognition in the Chinese context is hampered by the difficult…
Liao Yangfei, Liu Haochen, Guan Zhijin, Xie Hehu, Liu Haochen
OpenPFEM is a parallel finite element computing platform developed in C, designed for large-scale parallel finite element computations on high-performance computers. This paper introduces the fundamental architecture of OpenPFEM, with particular emphasis on our parallel data communication scheme bas…
Chunhui Lai, Chunhui Lai
In 1975, P. Erd {o}s proposed the problem of determining the maximum number $f(n)$ of edges in a graph of $n$ vertices in which any two cycles are of different lengths. In this paper, it is proved that $$f(n) geq n+32t-1$$ for $t=27720r+169 , (r geq 1)$ and $n geq frac{6911}{16}t^{2}+ frac{514441}{8…
Chunhui Lai, Chunhui Lai
In 1975, P. Erd {o}s proposed the problem of determining the maximum number $f(n)$ of edges in a graph with $n$ vertices in which any two cycles are of different lengths. In this paper, it is proved that $$f(n) geq n+ frac{107}{3}t+ frac{7}{3}$$ for $t=1260r+169 , (r geq 1)$ and $n geq frac{2119}{4}…
Chunhui Lai, Chunhui Lai
Let f(n) denote the maximum possible number of edges in an n-vertex graph containing no cycles of equal length. The problem of determining f(n) was posed by Erdos in 1975. This paper provides a lower bound for f(n).
Feng Zhou, Huimin Cheng, Feng Zhou
This paper studies the regularity of weak solutions to non-degenerate divergence form subelliptic equations on the Heisenberg group. Based on more general assumptions on the coefficient matrix, this paper establishes, for both homogeneous and inhomogeneous cases, horizontal Calderón-Zygmund estimate…
Ma Yihan, Liu Wenyu, Li Junjie
This study aims to accurately predict shifts in match trends and trajectories by analyzing match flow. To capture match flow, we first defined an A-value and developed a decision tree model. Furthermore, we constructed a nonlinear autoregressive neural network to implement predictive functionality. …
Fan Xiequan, Wu Hao, Ye Yinna, Ye Yinna
Let $Z_n$ be a supercritical branching process in an i.i.d. environment. In this paper, we obtain two non-uniform Berry-Esseen bounds for $Z_n$. This result extends the Berry-Esseen bound of Grama et al. [Stochastic,Process.,Appl.,127(4),1255-1281,2017] to the non-uniform case. Finally, we discuss a…
Gong, Fuzhou, Wang, Ting, Wang, Ting
In this paper, we propose and study a novel continuous-time model, based on the well-known constant elasticity of variance (CEV) model, to describe the asset price process. The basic idea is that the volatility elasticity of the CEV model cannot be treated as a constant from the perspective of stoch…
Zong Yuhan, Zong Yuhan
The 0.618 method is the most widely used approach in one-dimensional line search for unimodal functions. While it exhibits good convergence properties, its convergence rate is excessively slow. Therefore, based on the function values at the endpoints of the search interval and at any point within th…
Deng, Jixiang, Deng, Yong, Deng, Yong
Pascal's triangle is the triangular arrangement of binomial coefficients, from which one can obtain the Fibonacci sequence and the golden ratio (approximately 1.618). A question arises: Can the silver ratio (approximately 2.414) be obtained from Pascal's triangle? This paper first establishes a Maxi…
Tianbao ZHOU, Xinghao Li, Junguang ZHAO, Junguang ZHAO
This study examines the impact of the twenty-four solar terms—a unique traditional Chinese system for dividing the annual seasons—on the Chinese stock index. Based on 26 years of historical data, the statistical analysis investigates whether the daily returns of the Shanghai Composite Index exhibit …