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MULTIPLE PERIODIC SOLUTIONS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS ACROSS RESONANCE
Cai, Hua,Chang, Xiaojun,Zhao, Xin Korean Mathematical Society 2014 대한수학회보 Vol.51 No.5
In this paper we study the existence of multiple periodic solutions of second-order ordinary differential equations. New results of multiplicity of periodic solutions are obtained when the nonlinearity may cross multiple consecutive eigenvalues. The arguments are proceeded by a combination of variational and degree theoretic methods.
Cai-Hua Jia,신정아,이기택 한국식품과학회 2019 Food Science and Biotechnology Vol.28 No.6
An effective evaluation model was established todigitize the quality of cocoa butter equivalents (CBEs)based on determinations of total and sn-2 fatty acid compositionsand triacylglycerol (TAG) profiles and the ‘‘deductingscore’’ principle. Similarity scores for selected fatsand oils calculated from the model revealed differencesbetween them and parallel cocoa butter compositions. ForCBE1 and CBE2, total similarity scores were 90.6 and90.0, whereas those of mango (76.3), dhupa (84.1), sal fat(84.7), kokum (78.3), palm mid fractions (PMF, 77.9), sheabutter (64.0), illipe butter (89.7) and Pentadesma butyraceabutter (67.2), respectively. Similarity scores were found toagree with physical properties, including polymorphism,crystal morphology, crystallization or melting behaviors,and solid fat content. The present study provides anaccurate means of assessing CBE quality and hopefullywill contribute to the development of commercial CBEs.
Multiple periodic solutions of second-order ordinary differential equations across resonance
Hua Cai,Xiaojun Chang,Xin Zhao 대한수학회 2014 대한수학회보 Vol.51 No.5
In this paper we study the existence of multiple periodic solutions of second-order ordinary differential equations. New results of multiplicity of periodic solutions are obtained when the nonlinearity may cross multiple consecutive eigenvalues. The arguments are proceeded by a combination of variational and degree theoretic methods.
MEROMORPHIC FUNCTIONS SHARING 1CM+1IM CONCERNING PERIODICITIES AND SHIFTS
Cai, Xiao-Hua,Chen, Jun-Fan Korean Mathematical Society 2019 대한수학회보 Vol.56 No.1
The aim of this paper is to investigate the problems of meromorphic functions sharing values concerning periodicities and shifts. In this paper we prove the following result: Let f(z) and g(z) be two nonconstant entire functions, let $c{\in}{\mathbb{C}}{\setminus}\{0\}$, and let $a_1$, $a_2$ be two distinct finite complex numbers. Suppose that ${\mu}(f){\neq}1$, ${\rho}_2(f)<1$, and f(z) = f(z+c) for all $z{\in}{\mathbb{C}}$. If f(z) and g(z) share $a_1$ CM, $a_2$ IM, then $f(z){\equiv}g(z)$. Moreover, examples are given to show that all the conditions are necessary.
Cai, Jun-Hong,Fu, Sheng-Miao,Tu, Zhi-Hua,Deng, Li-Qun,Liang, Zhu,Chen, Xin-Ping,Gong, Xuan-Ju,Wan, Li-Hua Asian Pacific Journal of Cancer Prevention 2015 Asian Pacific journal of cancer prevention Vol.16 No.6
This study aimed to investigate the relationship between prognosis and protein and mRNA expression of an apoptotic inhibitor gene, survivin, in patients with nasopharyngeal carcinoma. Furthermore, functions of the survivin gene in the CNE2 nasopharyngeal carcinoma cell line were assessed. Immunohistochemistry and in situ hybridization were used in detecting the survivin protein and mRNA in 44 nasopharyngeal carcinoma specimens, and 30 chronic nasopharyngitis samples as controls. Survivin gene expression in CNE2 cell line was suppressed with an shRNA (short hairpin RNA). The positive ratios of expression for survivin protein and mRNA in nasopharyngeal carcinoma were 79.5% and 75.0% respectively, obviously higher than in the control group (p<0.01), and there is very good consistency between the two methods. The mean survival time of patients with higher survivin protein or mRNA expression was shorter than in patients with lower levelsv(p<0.01). Proliferation of the CNE2 cell line was distinctly inhibited by the shRNA. The results indicate that overexpression of the survivin gene plays an important role in onset and development of nasopharyngeal carcinoma, and it may be helpful for prognostic appraisal.
A Wide Dynamic Range NUC Algorithm for IRCS Systems
Li-Hua Cai,Feng-Yun He,Song-Tao Chang,Zhou Li 한국물리학회 2018 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.73 No.12
Uniformity is a key feature of state-of-the-art infrared focal planed array (IRFPA) and infrared imaging system. Unlike traditional infrared telescope facility, a ground-based infrared radiant char- acteristics measurement system with an IRFPA not only provides a series of high signal-to-noise ratio (SNR) infrared image but also ensures the validity of radiant measurement data. Normally, a long integration time tends to produce a high SNR infrared image for infrared radiant charac- teristics radiometry system. In view of the variability of and uncertainty in the measured target's energy, the operation of switching the integration time and attenuators usually guarantees the gual- ity of the infrared radiation measurement data obtainted during the infrared radiant characteristics radiometry process. Non-uniformity correction (NUC) coecients in a given integration time are often applied to a specified integration time. If the integration time is switched, the SNR for the infrared imaging will degenerate rapidly. Considering the effect of the SNR for the infrared image and the infrared radiant characteristics radiometry above, we propose a-wide-dynamic-range NUC algorithm. In addition, this essasy derives and establishes the mathematical modal of the algorithm in detail. Then, we conduct verification experiments by using a ground-based MWIR(Mid-wave Infared) radiant characteristics radiometry system with an 400 mm aperture. The experimental results obtained using the proposed algorithm and the traditional algorithm for different integration time are compared. The statistical data shows that the average non-uniformity for the proposed algorithm decreased from 0.77% to 0.21% at 2.5 ms and from 1.33% to 0.26% at 5.5 ms. The testing results demonstrate that the usage of suggested algorithm can improve infrared imaging quality and radiation measurement accuracy.
장구령여당대유가문론적불도특색(張九齡여唐代儒家文론的佛道特色)
조채화 ( Cai Hua Zhao ) 전북대학교 인문학연구소 2011 건지인문학 Vol.6 No.-
Zhang Jiuling thought that literature should reflect "the belongings" which include nature, society, all aspects of life. Zhang Jiuling`s "clarify the way" is the Confucian way when pointing to the socio-political con-notations; and which contains with Buddhism and Taoism when on self-cultivation, The connotation of "belongings" and "clarify the way" is a typical embodiment of the impact of integration of the three religions at the Xuanzong times, which is typical of the Tang dynasty Confucian characteristics of literary theory that explicit Confucian way and inherent is both Buddhism and Taoism.