On the Hyers-Ulam-Rassias stability of Jensen's equation

Dongyan Zhang,Jian Wang 대한수학회 2009 대한수학회보 Vol.46 No.4

J. Wang [21] proposed a problem: whether the Hyers-Ulam- Rassias stability of Jensen’'s equation for the case p, q, r, s ∈(β,1/β)\{1} holds or not under the assumption that G and E are β-homogeneous F-space (0<β<1). The main purpose of this paper is to give an answer to Wang’'s problem. Furthermore, we proved that the stability property of Jensen’'s equation is not true as long as p or q is equal to β,1/β, or ¯β_(2)/β_(1) (0<β_(1),β_(2)≤1). J. Wang [21] proposed a problem: whether the Hyers-Ulam- Rassias stability of Jensen’'s equation for the case p, q, r, s ∈(β,1/β)\{1} holds or not under the assumption that G and E are β-homogeneous F-space (0<β<1). The main purpose of this paper is to give an answer to Wang’'s problem. Furthermore, we proved that the stability property of Jensen’'s equation is not true as long as p or q is equal to β,1/β, or ¯β_(2)/β_(1) (0<β_(1),β_(2)≤1).

DNA methylation and mRNA expression of COL6A3 in antler mesenchyme of female and male reindeer

Jian‑Cheng Zhai,Ruo‑Bing Han,Sheng‑Nan Wang,Qiang‑Hui Wang,Yan‑Ling Xia,Wei‑Shi Liu,Ya‑Jie Yin,He‑Ping Li 한국유전학회 2019 Genes & Genomics Vol.41 No.9

Backgroud Reindeer is the only deer species that both male and female produce antlers, which provides a particularly interesting case in studying the differences between antlers of the two sexes. Alpha 3(VI) Collagen Gene (COL6A3), forms a microfibrillar network associated with the structural integrity and biomechanical properties, has been found to be one of the differentially expressed genes in antler mesenchyme of female and male reindeer. Objective and Methods The promoter sequence of reindeer COL6A3 gene was obtained using the cloning technology and analyzed by the bioinformatics methods. Bisulfite sequencing PCR (BSP) was used to detect the methylation status of the COL6A3 promoter in reindeer antler mesenchyme. Real-time quantitative PCR was used to detect COL6A3 expression in the antler mesenchyme of female and male reindeer. Results Sequence analysis revealed that the reindeer COL6A3 partial promoter sequence was 983 bp including the possible promoter region at + 105 bp to + 155 bp. Homology and phylogenetic analysis indicated that the COL6A3 promoter of reindeer had the closest genetic distance with Bos taurus, Capra hircus and Ovis aries. BSP results indicated that the methylation level of COL6A3 promoter in the female reindeer antler mesenchyme was significantly higher than in the male. Correlating with increased methylation status, we also found that COL6A3 mRNA expression in female reindeer antler mesenchyme was significantly lower than in the male. Conclusion The higher methylation level of the COL6A3 gene in female reindeer antler mesenchyme coincides with decreased COL6A3 mRNA expression, thereby affecting the transposon silencing mechanism and possibly contributing to apparent differences of antlers in female and male reindeer.

ON THE HYERS-ULAM-RASSIAS STABILITY OF JENSEN'S EQUATION

Zhang, Dongyan,Wang, Jian Korean Mathematical Society 2009 대한수학회보 Vol.46 No.4

J. Wang [21] proposed a problem: whether the Hyers-Ulam-Rassias stability of Jensen's equation for the case p, q, r, s $\in$ ($\beta$, $\frac{1}{\beta}$) \ {1} holds or not under the assumption that G and E are $\beta$-homogeneous Fspace (0 < $\beta\;\leq$ 1). The main purpose of this paper is to give an answer to Wang's problem. Furthermore, we proved that the stability property of Jensen's equation is not true as long as p or q is equal to $\beta$, $\frac{1}{\beta}$, or $\frac{\beta_2}{\beta_1}$ (0 < $\beta_1,\beta_2\leq$ 1).

Analytical behavior of built-up square concrete-filled steel tubular columns under combined preload and axial compression

Jian-Tao Wang,Fa-Cheng Wang 국제구조공학회 2021 Steel and Composite Structures, An International J Vol.38 No.6

This paper numerically investigated the behavior of built-up square concrete-filled steel tubular (CFST) columns under combined preload and axial compression. The finite element (FE) models of target columns were verified in terms of failure mode, axial load-deformation curve and ultimate strength. A full-range analysis on the axial load-deformation response as well as the interaction behavior was conducted to reveal the composite mechanism. The parametric study was performed to investigate the influences of material strengths and geometric sizes. Subsequently, influence of construction preload on the full-range behavior and confinement effect was investigated. Numerical results indicate that the axial load-deformation curve can be divided into four working stages where the contact pressure of curling rib arc gradually disappears as the steel tube buckles; increasing width-to-thickness (B/t) ratio can enhance the strength enhancement index (e.g., an increment of 1.88% from B/t=40 to B/t=100), though ultimate strength and ductility are decreased; stiffener length and lip inclination angle display a slight influence on strength enhancement index and ductility; construction preload can degrade the plastic deformation capacity and postpone the origin appearance of contact pressure, thus making a decrease of 14.81%~27.23% in ductility. Finally, a revised equation for determining strain εscy corresponding to ultimate strength was proposed to evaluate the plastic deformation capacity of built-up square CFST columns.

An Enhanced Grouping Proof for Multiple RFID Readers and Tag Groups

Jian Shen,Haowen Tan,Yang Wang,Sai Ji,Jin Wang 보안공학연구지원센터 2014 International Journal of Control and Automation Vol.7 No.12

RFID authentication on large numbers of tags or tag groups has attracted many researchers’ attention as an extension of initial one-or-two-tags scenarios. Due to demands of RFID application in supply chain, various proofs are proposed in the purpose of solving existing problems of grouping tags identification. However, it is proved that verifiers in these proofs are not aware of abnormal relating devices instantly, which may cause both security and technical risks and lie heavy upon identification of the problematic tags and readers. In this paper, we propose an enhanced grouping proof for multiple RFID readers and tag groups, according to which the verifier is able to cope with multiple readers and tag groups simultaneously and know the detailed status of the problematic tags. In addition, privacy protection is provided by offering mutual authentication between the readers and tags. Moreover, it is hard for the malicious tags to pass the verification in the proposed proof.

Efficient Metal-Free Synthesis of Dihydro[1,3]oxazines Assisted by Intramolecular Hydrogen Bonding

Jian Wang,Xiangmin Wang,Zhong Zheng,Jihua Ma,Xu Wang,이우경,심영기,윤일,Jinchun Chen,Jiazhu Li 대한화학회 2020 Bulletin of the Korean Chemical Society Vol.41 No.9

A novel and efficient intramolecular hydrogen bonding assisted approach to various dihydro[1,3]oxazines is described. Reaction is carried out under ambient condition without any metal catalysts.

Effect of P3HT passivation layer on triple cation organic-inorganic hybrid perovskite memristor

Wang Yucheng,Xiong Yuxuan,Wang Hongsu,Wu Xiang,Sha Jian,Shang Yueyang,Zhang Yongqi,Li Wei,Wang Shaoxi 한국물리학회 2023 Current Applied Physics Vol.47 No.-

Triple cation organic-inorganic hybrid perovskite (TCP) memristor is a novel candidate for artificial visual applications due to the integrating of recognition, storage, and computing. However, concerns remain regarding the moisture-induced degradation and thermal stability. Here, P3HT was deposited on the TCP film to optimize the memristor performance which showed better film surface quality and lower power consumption. When the thickness of the P3HT layer increases, the grain boundary of the TCP film was gradually filled, leading to the inhibition of the ions/vacancies drifting, and thus the device type was changed from digital to analog. Besides, various functions are demonstrated in TCP photoelectric memristor including excitatory postsynaptic current under optic and electric stimulations and spike rate-dependent plasticity, proving the great application prospects in numerical calculation and information perception.

Angelica Sinensis Polysaccharide Induces Erythroid Differentiation of Human Chronic Myelogenous Leukemia K562 Cells

Wang, Lu,Jiang, Rong,Song, Shu-Dan,Hua, Zi-Sen,Wang, Jian-Wei,Wang, Ya-Ping Asian Pacific Journal of Cancer Prevention 2015 Asian Pacific journal of cancer prevention Vol.16 No.9

Leukemia is a clonal disorder with blocked normal differentiation and cell death of hematopoietic progenitor cells. Traditional modalities with most used radiation and chemotherapy are nonspecific and toxic which cause adverse effects on normal cells. Differentiation inducing therapy forcing malignant cells to undergo terminal differentiation has been proven to be a promising strategy. However, there is still scarce of potent differentiation inducing agents. We show here that Angelica sinensis polysaccharide (ASP), a major active component in Dong quai (Chinese Angelica sinensis), has potential differentiation inducing activity in human chronic erythro-megakaryoblastic leukemia K562 cells. MTT assays and flow cytometric analysis demonstrated that ASP inhibited K562 cell proliferation and arrested the cell cycle at the G0/G1 phase. ASP also triggered K562 cells to undergo erythroid differentiaton as revealed by morphological changes, intensive benzidine staining and hemoglobin colorimetric reaction, as well as increased expression of glycophorin A (GPA) protein. ASP induced redistribution of STAT5 protein from the cytoplasm to the nucleus. Western blotting analysis further identified that ASP markedly sensitized K562 cells to exogenous erythropoietin (EPO) by activating EPO-induced JAK2/STAT5 tyrosine phosphorylation, thus augmenting the EPO-mediated JAK2/STAT5 signaling pathway. On the basis of these findings, we propose that ASP might be developed as a potential candidate for chronic myelogenous leukemia inducing differentiation treatment.

Structure-based functional site recognition for p21-activated kinase 4

Jian Wang,Gang Wang,Yu Sha,Dong-Mei Zhao,Feng Li,Mao-Sheng Cheng 대한약학회 2013 Archives of Pharmacal Research Vol.36 No.12

Recently, many molecular modeling methodsare being developed to better understand the principlesunderlying protein folding. In the present study, fullyflexible dinucleotides d(pApA), d(pApC), d(pApG),d(pApT), d(pCpA), d(pCpC), d(pCpG), d(pCpT), d(pGpA),d(pGpC), d(pGpG), d(pGpT), d(pTpA), d(pTpC), d(pTpG)and d(pTpT) were docked onto the surface of p21-activatedkinase 4 (PAK4) kinase domain. The results showedthat automated docking was a useful tool to identify thefunctional sites of PAK4 and it may provide a theoreticalbasis for the interaction data obtained from previousexperiments. Therefore, structure-based docking with fullyflexible dinucleotide probes might be a good tool to predictand annotate the functional sites of enzymes.

Path following of a surface ship sailing in restricted waters under wind effect using robust H_∞ guaranteed cost control

Wang, Jian-qin,Zou, Zao-jian,Wang, Tao The Society of Naval Architects of Korea 2019 International Journal of Naval Architecture and Oc Vol.11 No.1

The path following problem of a ship sailing in restricted waters under wind effect is investigated based on Robust $H_{\infty}$ Guaranteed Cost Control (RHGCC). To design the controller, the ship maneuvering motion is modeled as a linear uncertain system with norm-bounded time-varying parametric uncertainty. To counteract the bank and wind effects, the integral of path error is augmented to the original system. Based on the extended linear uncertain system, sufficient conditions for existence of the RHGCC are given. To obtain an optimal robust $H_{\infty}$ guaranteed cost control law, a convex optimization problem with Linear Matrix Inequality (LMI) constraints is formulated, which minimizes the guaranteed cost of the close-loop system and mitigates the effect of external disturbance on the performance output. Numerical simulations have confirmed the effectiveness and robustness of the proposed control strategy for the path following goal of a ship sailing in restricted waters under wind effect.