Uniqueness of meromorphic solutions of a certain type of difference equations

Jun-Fan Chen,Shu-Qing Lin 대한수학회 2022 대한수학회보 Vol.59 No.4

In this paper, we study the uniqueness of two finite order transcendental meromorphic solutions $f(z)$ and $g(z)$ of the following complex difference equation $$A_{1}(z)f(z+1)+A_{0}(z)f(z)=F(z)e^{\alpha(z)}$$ when they share 0, $\infty$ CM, where $A_{1}(z),$ $A_{0}(z),$ $F(z)$ are non-zero polynomials, $\alpha(z)$ is a polynomial. Our result generalizes and complements some known results given recently by Cui and Chen, Li and Chen. Examples for the precision of our result are also supplied.

紅樓夢硏究簡論

陳慶浩 中國語文硏究會 1990 中國語文論叢 Vol.3 No.-

明淸通俗小说中的法术母题

陣慶紀(CHEN Qing-Ji) 한림대학교 아시아문화연구소 2007 아시아문화 Vol.- No.24

Magic is one of the important themes in Chinese ancient novels, it is imported from the Western Region in Han dynasty, and it stems from the magical power story of the classics of Buddhism. The eminent monks those come from India and the Western Regions start from preaching utility, demonstrate magic on the spot, and promote magic spread in China greatly. After magic being transported into China, it combines with local original sorcery faith, thoughts of the five elements and yin-yang theory, and is gradually influenced by Buddhism Esoteric and the folk secret religion White Lotus sect of Ming and Qing dynasty, at last forms the magic pattern with unique characteristics. The popular novels of Ming and Qing dynasty absorb nutriments of traditional magic motif, greatly expend magic scope of expression, and form new surmount features. This text combs the relation between magic motif and popular novels of Ming and Qing dynasty, investigate its some characteristics of happening, developing and surmounting on the base of differentiating origin of magic motif. Magic is mysterious and unreal, but it expands content of expression of the ancient novels, brings illusion and amusement of the complicated and confusing to people, and has certain value of exist and social sense.

AtHAP3b Plays a Crucial Role in the Regulation of Flowering Time in Arabidopsis during Osmotic Stress

Chen, Nai-Zhi,Zhang, Xiu-Qing,Wei, Peng-Cheng,Chen, Qi-Jun,Ren, Fei,Chen, Jia,Wang, Xue-Chen Korean Society for Biochemistry and Molecular Biol 2007 Journal of biochemistry and molecular biology Vol.40 No.6

The HAP complex has been found in many eukaryotic organisms. HAP recognizes the CCAAT box present in the promoters of 30% of all eukaryotic genes. The HAP complex consists of three subunits - HAP2, HAP3 and HAP5. In this paper, we report the biological function of the AtHAP3b gene that encodes one of the HAP3 subunits in Arabidopsis. Compared with wild-type plants, hap3b-1 and hap3b-2 mutants exhibited a delayed flowering time under long-day photoperiod conditions. Moreover, the transcription levels of FT were substantially lower in the mutants than in the wild-type plants. These results imply that AtHAP3b may function in the control of flowering time by regulating the expression of FT in Arabidopsis. In a subsequent study, AtHAP3b was found to be induced by osmotic stress. Under osmotic stress conditions, the hap3b- 1 and hap3b-2 mutants flowered considerably later than the wild-type plants. These results suggest that the AtHAP3b gene plays more important roles in the control of flowering under osmotic stress in Arabidopsis.

Analysis of Small Fragment Deletions of the APC gene in Chinese Patients with Familial Adenomatous Polyposis, a Precancerous Condition

Chen, Qing-Wei,Zhang, Xiao-Mei,Zhou, Jian-Nong,Zhou, Xin,Ma, Guo-Jian,Zhu, Ming,Zhang, Yuan-Ying,Yu, Jun,Feng, Ji-Feng,Chen, Sen-Qing Asian Pacific Journal of Cancer Prevention 2015 Asian Pacific journal of cancer prevention Vol.16 No.12

Background: : Familial adenomatous polyposis (FAP) is an autosomal dominant inherited disease mainly caused by mutations of the adenomatous polyposis coli (APC) gene with almost complete penetrance. These colorectal polyps are precancerous lesions that will inevitable develop into colorectal cancer at the median age of 40-year old if total proctocolectomy is not performed. So identification of APC germline mutations has great implications for genetic counseling and management of FAP patients. In this study, we screened APC germline mutations in Chinese FAP patients, in order to find novel mutations and the APC gene germline mutation characteristics of Chinese FAP patients. Materials and Methods: The FAP patients were diagnosed by clinical manifestations, family histories, endoscope and biopsy. Then patients peripheral blood samples were collected, afterwards, genomic DNA was extracted. The mutation analysis of the APC gene was conducted by direct polymerase chain reaction (PCR) sequencing for micromutations and multiplex ligation-dependent probe amplification (MLPA) for large duplications and/or deletions. Results: We found 6 micromutations out of 14 FAP pedigrees, while there were no large duplications and/or deletions found. These germline mutations are c.5432C>T(p. Ser1811Leu), two c.3926_3930delAAAAG (p.Glu1309AspfsX4), c.3921_3924delAAAA (p.Ile1307MetfsX13), c3184_3187delCAAA(p.Gln1061AspfsX59) and c4127_4126delAT (p.Tyr1376LysfsX9), respectively, and all deletion mutations resulted in a premature stop codon. At the same time, we found c.3921_3924delAAAA and two c.3926_3930delAAAAG are located in AAAAG short tandem repeats, c3184_3187delCAAA is located in the CAAA interrupted direct repeats, and c4127_4128 del AT is located in the 5'-CCTGAACA-3', 3'-ACAAGTCC-5 palindromes (inverted repeats) of the APC gene. Furthermore, deletion mutations are mostly located at condon 1309. Conclusions: Though there were no novel mutations found as the pathogenic gene of FAP in this study, we found nucleotide sequence containing short tandem repeats and palindromes (inverted repeats), especially the 5 bp base deletion at codon 1309, are mutations in high incidence area in APC gene,.

AtHAP3b Plays a Crucial Role in the Regulation of Flowering Time in Arabidopsis during Osmotic Stress

Nai Zhi Chen,Xiu Qing Zhang,Peng Cheng Wei,Qi Jun Chen,Fei Ren,Jia Chen,Xue Chen Wang 한국생화학분자생물학회 (구 한국생화학회) 2007 BMB Reports Vol.40 No.6

Dirichlet heat kernel estimates for subordinate Brownian motions with Gaussian components

Chen, Zhen-Qing,Kim, Panki,Song, Renming De Gruyter 2016 Journal fur die reine und angewandte Mathematik Vol.2016 No.711

<P><B>Abstract</B></P><P>In this paper, we derive explicit sharp two-sided estimates for the Dirichlet heat kernels, in<I>C</I><SUP>1,1</SUP>open sets<I>D</I>in ℝ<SUP><I>d</I></SUP>, of a large class of subordinate Brownian motions with Gaussian components. When<I>D</I>is bounded, our sharp two-sided Dirichlet heat kernel estimates hold for all<I>t</I>> 0. Integrating the heat kernel estimates with respect to the time variable<I>t</I>, we obtain sharp two-sided estimates for the Green functions, in bounded<I>C</I><SUP>1,1</SUP>open sets, of such subordinate Brownian motions with Gaussian components.</P>

MULTIDIMENSIONAL SYMMETRIC STABLE PROCESSES

Chen, Zhen-Qing 한국전산응용수학회 1999 Journal of applied mathematics & informatics Vol.6 No.2

This paper surveys recent remarkable progress in the study of potential theory for symmetric stable processes. It also contains new results on the two-sided estimates for Green functions Poisson kernels and Martin kernels of discontinuous symmetric $alpha$ -stable process in bounded $C^{1,1}$ open sets. The new results give ex-plicit information on how the comparing constants depend on pa-rametrer $alpha$ and consequently recover the green function and Poisson kernel estimates for Brownian motion by passing $alpha{\uparrow}2$. In addition to these new estimates this paper surveys recent progress in the study of notions of harmonicity integral representation of harmonic func-tions boundary harnack inequality conditional gauge and intrinsic ultracontractivity for symmetric stable processes. Here is a table of contents.

Physicochemical characterization and cytotoxicity of chitosanmodified single walled carbon nanotubes as drug carriers

Qing‑Ri Cao,Xiao‑Xue Zhang,Hao‑Yan Huang,Li‑Qing Chen,Hehua Jin,Beom‑Jin Lee,Jing‑Hao Cui 한국약제학회 2019 Journal of Pharmaceutical Investigation Vol.49 No.1

The application of single-walled carbon nanotubes (SWCNTs) as drug carriers is limited by their poor dispersal in aqueous medium. This study aimed to prepare chitosan (CS)-modified SWCNTs (CS-SWCNTs) and to evaluate their physicochemical properties and cytotoxicity. Oxidized SWCNTs (O-SWCNTs) were prepared with the use of strong acid, and the effects of acidizing conditions on the oxidation degree of the O-SWCNTs were investigated. CS was then non-covalently modified on the surfaces of O-SWCNTs. O-SWCNTs and CS-SWCNTs were characterized through ultraviolet spectroscopy, Fourier transform-infrared spectroscopy, Raman spectroscopy, and transmission electron microscopy. The cytotoxic effects of the functionalized SWCNTs were determined through the 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide assay. O-SWCNTs with relatively complete structure were successfully synthesized through 5 h of treatment with 5 M acid. The amine group of the CS and the carboxyl group of O-SWCNTs interacted in CS-SWCNTs. The functionalized SWCNTs did not aggregate or precipitate in water and exerted no cytotoxic effects on A549 and MCF-7 tumor cells. The CS-SWCNTs possess the advantages of a simple preparation process, excellent water dispersibility, and biocompatibility for drug loading.

Strength and Deformation Characteristics of Calcareous Sands Improved by PFA

Qing-Sheng Chen,Wan Peng,Gao-LiangTao,Sanjay Nimbalkar 대한토목학회 2021 KSCE JOURNAL OF CIVIL ENGINEERING Vol.25 No.1

Calcareous sand is widely distributed in the islands of the South China Sea, which could be promisingly used as the construction materials. However, particle breakage commonly occurs in calcareous sands, which may significantly influence their mechanical characteristics. To address these issues, an eco-friendly agent, i.e., polyurethane foam adhesive (PFA) is proposed to improve the engineering properties of calcareous sands, compared to the commonly used alkaline stabilizing agents (e.g., lime, cement). The objective of this work is to examine the effectiveness of using PFA in improving the strength-deformation properties of calcareous sand. A series of laboratory tests including direct shear tests, unconfined compression tests, and oedometer tests were performed on the calcareous sands improved by PFA. In addition, A scanning electron microscope (SEM) was conducted to reveal microstructural analysis of using PFA for calcareous sand. The experimental results provided insights into the shear strength, deformation modulus, as well as the micro-structural characteristics of improved calcareous sands with various PFA contents and particle size distributions.