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        Meromorphic solutions of some q-difference equations

        BaoQin Chen,ZongXuan Chen 대한수학회 2011 대한수학회보 Vol.48 No.6

        We consider meromorphic solutions of $q$-difference equations of the form [수식]=a_(n+1)(z), where a_0(z), ...,a_(n+1)(z) are meromorphic functions, a_0(z)a_n(z)[기호] 0 and q∈C such that 0<|q|≤ 1. We give a new estimate on the upper bound for the length of the gap in the power series of entire solutions for the case 0<|q|<1 and n=2. Some growth estimates for meromorphic solutions are also given in the cases 0<|q|<1 and |q|=1. Moreover, we investigate zeros and poles of meromorphic solutions for the case |q|=1.

      • SCIESCOPUSKCI등재

        MEROMORPHIC SOLUTIONS OF SOME q-DIFFERENCE EQUATIONS

        Chen, Baoqin,Chen, Zongxuan Korean Mathematical Society 2011 대한수학회보 Vol.48 No.6

        We consider meromorphic solutions of q-difference equations of the form $$\sum_{j=o}^{n}a_j(z)f(q^jz)=a_{n+1}(z),$$ where $a_0(z)$, ${\ldots}$, $a_{n+1}(z)$ are meromorphic functions, $a_0(z)a_n(z)$ ≢ 0 and $q{\in}\mathbb{C}$ such that 0 < |q| ${\leq}$ 1. We give a new estimate on the upper bound for the length of the gap in the power series of entire solutions for the case 0 < |q| < 1 and n = 2. Some growth estimates for meromorphic solutions are also given in the cases 0 < |q| < 1. Moreover, we investigate zeros and poles of meromorphic solutions for the case |q| = 1.

      • KCI등재

        Zero-Watermarking Algorithm in Transform Domain Based on RGB Channel and Voting Strategy

        ( Qiumei Zheng ),( Nan Liu ),( Baoqin Cao ),( Fenghua Wang ),( Yanan Yang ) 한국정보처리학회 2020 Journal of information processing systems Vol.16 No.6

        A zero-watermarking algorithm in transform domain based on RGB channel and voting strategy is proposed. The registration and identification of ownership have achieved copyright protection for color images. In the ownership registration, discrete wavelet transform (DWT), discrete cosine transform (DCT), and singular value decomposition (SVD) are used comprehensively because they have the characteristics of multi-resolution, energy concentration and stability, which is conducive to improving the robustness of the proposed algorithm. In order to take full advantage of the characteristics of the image, we use three channels of R, G, and B of a color image to construct three master shares, instead of using data from only one channel. Then, in order to improve security, the master share is superimposed with the copyright watermark encrypted by the owner’s key to generate an ownership share. When the ownership is authenticated, copyright watermarks are extracted from the three channels of the disputed image. Then using voting decisions, the final copyright information is determined by comparing the extracted three watermarks bit by bit. Experimental results show that the proposed zero watermarking scheme is robust to conventional attacks such as JPEG compression, noise addition, filtering and tampering, and has higher stability in various common color images.

      • 基于元认知理论的研究生课程思政案例教学创新与实践

        高申(Shen Gao),蒲川(Chuan Pu),王宝秦(Baoqin Wang),蒋祎(Yi Jiang) 아시아사회과학학회 2023 International Science Research Vol.3 No.3

        元认知是对认知的认知,其与案例教学结合的优势体现在学生通过重新认知案例教学过程和学习行为,可以强化案例教学的效果。本研究是在研究生《医疗卫生法律法规》课程中开展基于元认知的案例教学以期对课程思政的教学方式进行创新。基于元认知的案例教学实践分为四个部分:制定教学目标、形成课程思政案例微课库、开展案例教学和教学评价。学生评价结果表明,基于元认知理论进行课程思政案例教学能显著提升学习效果,计划、监控和调节是提升元认知能力的三大策略。 Metacognition is the cognition of cognition, and the advantage of its combination with case teaching is reflected in that students can strengthen the effect of case teaching by re-recognizing the process and learning behavior of case teaching. This study is to carry out metacognition-based case teaching in the course of Medical Health Laws and Regulations for postgraduate students in order to innovate the teaching methods of ideological and political education. The practice of case teaching based on metacognition is divided into four parts: formulating teaching objectives, forming the micro-class library of curriculum ideological and political cases, carrying out case teaching and teaching evaluation. The evaluation results of students show that the course case teaching based on metacognitive theory can significantly improve the learning effect, and planning, monitoring and adjustment are the three strategies to improve the metacognitive ability.

      • SCIESCOPUSKCI등재

        DNA Fingerprint Bands Correlated with the Egg Weight Performance of Hens

        Huang, Haigen,Meng, Anming,Qi, Shunzhang,Gong, Guifen,Li, Junying,Wang, Hongwei,Chou, Baoqin Asian Australasian Association of Animal Productio 1999 Animal Bioscience Vol.12 No.1

        Beijing White Chickens laying larger eggs and smaller eggs were respectively used as parental individuals for mating to produce the F1 progeny and then the F1 progeny individuals mated to produce 125 individuals of the F2 progeny. Three bands associated with the egg weight performance were identified from DNA fingerprints of the 125 individuals generated with a bovine minisatellite probe BM6.5B. The simple linear correlation analysis showed that the coefficients of correlation between frequencies of the three bands (DB1, DB2 and DB3) and egg weights were -0.6, -0.6 and 0.9, respectively.

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