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pro vyhledávání: '"Zhang, Hong Yan"'
Kuiper's $V_n$ statistic, a measure for comparing the difference of ideal distribution and empirical distribution, is of great significance in the goodness-of-fit test. However, Kuiper's formulae for computing the cumulative distribution function, fa
Externí odkaz:
http://arxiv.org/abs/2310.19576
The Hurst exponent is a significant indicator for characterizing the self-similarity and long-term memory properties of time sequences. It has wide applications in physics, technologies, engineering, mathematics, statistics, economics, psychology and
Externí odkaz:
http://arxiv.org/abs/2310.19051
Fixed-Point Algorithms for Solving the Critical Value and Upper Tail Quantile of Kuiper's Statistics
Publikováno v:
Heliyon, 10(7): e28274, April 15, 2024
Kuiper's statistic is a good measure for the difference of ideal distribution and empirical distribution in the goodness-of-fit test. However, it is a challenging problem to solve the critical value and upper tail quantile, or simply Kuiper pair, of
Externí odkaz:
http://arxiv.org/abs/2308.09463
Publikováno v:
Hong-Yan zhang, Yu Zhou and Fu-Yun Li. "An Automatic Method for Generating Symbolic Expressions of Zernike Circular Polynomials", IEEE Access, 2023, Vol. 11, No. 6, pp: 56481--56493
Zernike circular polynomials (ZCP) play a significant role in optics engineering. The symbolic expressions for ZCP are valuable for theoretic analysis and engineering designs. However, there are still two problems which remain open: firstly, there is
Externí odkaz:
http://arxiv.org/abs/2301.01859
Publikováno v:
Computer Applications in Engineering Education, 2023(11): e22698
The problem-project-oriented STEM education plays a significant role in training students' ability of innovation. Although the conceive-design-implement-operate (CDIO) approach and the computational thinking (CT) are hot topics in recent decade, ther
Externí odkaz:
http://arxiv.org/abs/2212.09209
Publikováno v:
IEEE Access, 12(8):105906-105923, 2024
Quaternion kinematical differential equation (QKDE) plays a key role in navigation, control and guidance systems. Although explicit symplectic geometric algorithms (ESGA) for this problem are available, there is a lack of a unified way for constructi
Externí odkaz:
http://arxiv.org/abs/2212.06414
Autor:
Zhang, Hong-Yan, Jiang, Wen-Juan
Publikováno v:
Results in Applied Mathematics, 2024, 23(8):e100479
The complete elliptic integral of the first kind (CEI-1) plays a significant role in mathematics, physics and engineering. There is no simple formula for its computation, thus numerical algorithms are essential for coping with the practical problems
Externí odkaz:
http://arxiv.org/abs/2212.05694
Publikováno v:
IEEE Access, 11(10):106567-106579, 2023
Zernike radial polynomials (ZRP) play a significant role in application areas such as optics design, imaging systems, and image processing systems. Currently, there are two kinds of numerical schemes for computing the ZRP automatically with computer
Externí odkaz:
http://arxiv.org/abs/2212.02495
Autor:
WU Dong-rong, LI Shu-xuan, WANG Bin-bin, CHEN Li-qiong, XIE Yue-hui, ZHANG Hong-yan, JIA Xiang-ming
Publikováno v:
You-qi chuyun, Vol 42, Iss 12, Pp 1376-1382 (2023)
In response to the complex geographical environment and great difficulty in risk control of high consequence areas(HCAs) of mountainous pipelines, accurate identification of the HCA type and grade, if achievable, could effectively improve the operati
Externí odkaz:
https://doaj.org/article/02010336113f4753b92f230fc8ca7519
Autor:
Zhang, Hong-Yan, Jiang, Wen-Juan
Publikováno v:
In Results in Applied Mathematics August 2024 23