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Sufficient and necessary condition for the chromatic equivalence of a class of graphs

MA Hai-cheng, LI Sheng-gang

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 1-6.

Abstract （8120）

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A necessary and sufficient condition for the adjoint equivalence of two graphs with the adjoint minimum real root at least $-$4 was given. Based on this result, a necessary and sufficient condition of the chromatic equivalence for the complement graphs of these graphs can be naturally obtained.

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Linear arboricity of an embedded graph on a surface of large genus

LV Chang-qing, FANG Yong-lei

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 7-10, 23.

Abstract （1878）

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The linear arboricity of a graph $G$ is the minimum number
of linear forests which partition the edges of $G$. This paper
proved that if $G$ can be embedded on a surface of large genus
without 4-cycle and $\Delta(G)\geq (\sqrt{45-45\varepsilon}+10)$,
then its linear arboricity is $\lceil \frac{\Delta}{2}\rceil$, where
$\varepsilon=2-2h$ if the orientable surface with genus
\,$h(h>1)$\,or $\varepsilon=2-k$ if the nonorientable surface with
genus \,$k(k>2)$. It improves the bound obtained by J. L. Wu. As an
application, the linear arboricity of a graph with fewer edges were
concluded.

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Estimating the number of short cycles in simple planar graphs

TANG Bao-xiang, SHI Li-hua, REN Han

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 11-16.

Abstract （2142）

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This paper showed that the number of the shortest cycles
in a planar graph of order $n$ is at most $O(n^{2})$ and the bound
is the best possible (subject to the power of $n$) since $K_{n-2,n}$
contains
exactly $\frac{(n-2)(n-3)}{2}$ many 4-cycles.

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Determination of a convex body by the volume of its polar bodies

WU Li-rong

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 17-23.

Abstract （2017）

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Using tools of spherical harmonics and Hamburger's moment,
we proved that an origin-symmetric convex body containing a sphere
of radius $\delta$ in its interior is determined in
${\mathbb{R}}^{n}$ by the volume of its polar bodies with respect to
all the points near the sphere.

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Bayesian linear unbiased estimator and its robustness under the matrix loss function

QIU Hong-bing, LUO Ji

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 24-29, 53.

Abstract （2339）

PDF（pc）（343KB）（2019）

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It was proved that the Bayesian linear unbiased estimator
of the unknown parameters in a general linear model under the
quadratic loss function is also the Bayesian linear unbiased
estimator under the matrix loss function. The robustness of the
Bayesian linear unbiased estimator of the unknown parameter in terms
of error distributions was also discussed; moreover, the necessary
and sufficient conditions are obtained, under which the Bayesian
linear unbiased estimator of the unknown parameters hold its
optimality.

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Regression credibility model with correlation risk under balanced loss function

HUANG Wei-zhong

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 30-40.

Abstract （2311）

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Firstly the relation between the credibility premium under
balanced loss function and quadratic loss function was given. Then
the linear regression credibility premium with correlation risk
under balanced loss function was derived. At last the credibility
premium was expressed in balanced loss function when the target
estimator was specialized, meanwhile the regression credibility
model with equal correlation and common effect risk under balanced
loss function was discussed.

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Convergence theorems for the fixed points of two finite families of set-valued asymptotically nonexpansive mappings

SONG Chuan-jing, WU Jian-rong

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 41-46, 75.

Abstract （2087）

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The common fixed points of two finite families of
set-valued asymptotically nonexpansive mappings were studied in real
uniformly convex Banach spaces. A finite-step iteration process for
these two families was introduced, and some strong convergence
theorems for this scheme were proved. The results improve and extend
some recent relative results.

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Small-amplitude limit cycles of some non-smooth Li\'{e}nard systems

LIU Xia, LIU Yan-wei

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 47-53.

Abstract （1829）

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Based on the results by HAN Mao-an, et al. for computing
some focus values of non-smooth Li\'{e}nard systems, the number of
limit cycles bifurcated from the origin of some more general
non-smooth Li\'{e}nard systems were given by using maple process.

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Normal families related to shared values

LI San-hua, LIU Zhong-dong, WU Gao-xiang

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 54-60, 75.

Abstract （1902）

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Let $\F$ be a family of meromorphic functions on a domain
$D$, $a$ and $b$ be two nonzero finite complex numbers($\frac{a}{b}$
not positive integer). If for every $f \in \F$, $f(z) = a
\Rightarrow f^{(k)}(z) = a$, and the zeros multiplicity of $f - a$
is at least $k$, and $|f(z) - a| \geq \varepsilon$ ($\varepsilon >
0)$ whenever $f^{(k)}(z) = b$, then $\F$ is normal on $D$.

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Cells of the affine Weyl group $\widetilde{\bm C}_{\bm 4}$ in quasi-split case

YUE Ming-shi

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 61-75.

Abstract （2511）

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The affine Weyl group $(\widetilde{C}_4,\,S)$ can be
considered as the fixed point set of the affine Weyl group
$(\widetilde{A}_7,\,\widetilde{S})$ under a certain group
automorphism $\alpha$. Let
$\widetilde{l}:\widetilde{A}_7\longrightarrow \mathbf{\mathbf{N}}$
be the length function of\,$\widetilde{A}_7$. The restriction of
$\widetilde{l}$ on $\widetilde{C}_4$, denoted by $L$, is a weighted
function on $\widetilde{C}_4$. This paper classified the cells in
weighted Coxteger group\,$(\widetilde{C}_4,\,L)$.

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Left-connectedness of left cells in the Weyl Group of type E₆

MI Qian-qian, SHI Jian-yi

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 76-90.

Abstract （1930）

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We showed that all the left cells in the Weyl group $E_{6}$
were left-connected, verifying a conjecture of Lusztig in our
case.

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Left cells in the weighted Coxeter group ${\bm {\widetilde C}_{\bm n}}$

HUANG Qian

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 91-103, 114.

Abstract （2439）

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The fixed point set of the affine Weyl group
($\widetilde{A}_{2n},\widetilde{S}$) under a certain group
automorphism $\alpha$ with $\alpha\,(\widetilde{S}) = \widetilde{S}$
can be considered as the affine Weyl group ($\widetilde{C}_n,S$).
Then the left and two-sided cells of the weighted Coxeter group
($\widetilde{C}_n,\widetilde{\ell}$), where $\widetilde{\ell}$ is
the length function of $\widetilde{A}_{2n}$, can be given an
explicit description by studying the fixed point set of the affine
Weyl group ($\widetilde{A}_{2n},\widetilde{S}$) under $\alpha$. We
describe the cells of ($\widetilde{C}_n,\widetilde{\ell}$)
corresponding to the partitions
$\textbf{k}\textbf{1}^{\textbf{2n+1-k}}$ with $1\leqslant k
\leqslant 2n+1$ and $(2n-1,2)$.

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Properties of strongly infinite ${\bm{C^{\ast}}}$-algebras

LIANG Yue-liang

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 104-114.

Abstract （1784）

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null

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Giant magneto-impedance on glass-coated microwires with copper layer

WANG Rui-li, RUAN Jian-zhong, KONG Xiang-hong, YANG Wei, WANG Jiang-tao, ZHAO Zhen-jie

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 115-120.

Abstract （2168）

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The amorphous wires of nominal compositions Fe_73.0Cu_1.0Nb_2.0Si_13.5B_9.0 were prepared by glass-coating melt-spinning method. Then, the wires were annealed at 480~650 ℃ for 30 min in nitrogen atmosphere. The composite wires with copper layer using electroless deposition were produced, a thin layer of copper deposited onto the microwires annealed at 570 ℃. The morphology of composite microwires was observed using SEM. The giant magnetoimpedance effect on the samples was investigated. The results show that soft magnetic properties of the specimen can improve its MI ratio. The electromagnetic interactions between the ferromagnetic core and the copper layer can also affect MI ratio.

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Study on the conductivity of P(MMA-St)/MWNTs composites after temperature modification

ZHI Hui, XU Xue-cheng

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 121-127, 138.

Abstract （2060）

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Methyl methacrylate-styrene copolymer/multiwalled carbon nanotubes (P(MMA-St)/MWNTs) composites were prepared via situ emulsion polymerization and the influence of temperature modification on the conductivity of the composites was studied. The results indicated that the conductivity of the composite in the threshold value was increased by 2 orders of magnitude after temperature modification at 200 ℃ for 1 h. The relationship between the structure, interaction and properties of the composites were initiated by FTIR, XPS and XRD. After temperature modification some ester and acid in the PMMA change into anhydride. The change can prolong the effective conjugation and enhance the interaction between copolymers and MWNTs that the conductivity of composites improved.

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Simultaneous determination of phenolic pollutants in wastewater using CE-AD

LI Zi-cheng, TANG Wan-rong, ZHU Jin-kun, WANG Qing-jiang, HE Pin-gang, FANG Yu-zhi

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 128-138.

Abstract （2479）

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A method based on capillary electrophoresis coupled with amperometric detection (CE-AD) was developed for the simultaneous determination of phenols: 2,4-dichlorophenol, p-nitrophenol, o-cresol, m-cresol and p-cresol. The effects of working electrode potential, pH and concentration of running buffer, separation voltage and injection time on CE-AD were investigated. Under the optimum conditions, the aim analytes could be separated in buffer solution of Na₂HPO₄-NaOH at pH 11.38 within 25 min. A 300 μm diameter carbon disk electrode generated good current responses at +0.78 V ( vs SCE) for all analytes. The current responses were linear with concentrations over three orders of magnitude with detection limits at 10^-7mol/L (S/N=3) and the recoveries were in the range of 94.0%～107.0%. This method could be successfully applied to the analysis of actual sample from coking plants with satisfactory results.

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Newly recorded plants in Shanghai (VI)

LI Hong-qing, XIONG Shen-zhan, CHEN Ji-yun, GUI Ping, HU Chao

Journal of East China Normal University(Natural Sc 2013, 2013 (1): 139-144.

Abstract （2483）

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A newly exotic genus Kickxia Dumort.(Scrophulariaceae) is recorded in Shanghai and China. And 11 newly recorded species are found in Shanghai, namely, Kickxia elatine (L.) Dumort., Amaranthus polygonoides L., Ampelopsis japonica (Thunb.) Makino, Asarum forbesii Maxim., Ammannia multiflora Roxb., Elymus shandongensis B. Salomon, Rorippa dubia (Pers.) H. Hara, Cardamine scutata Thunb., Corydalis sheareri S. Moore, Basella alba L. and Melochia corchorifolia L. respectively.

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Effects of turbulence on the behavior of endogenous nitrogen in malodorous river

ZHANG Yi-fan, CHEN Yu-xia, HE Yan, HUANG Min-sheng

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 1-10.

Abstract （2809）

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A simulation system was designed for river sediment resuspension. Four different aeration turbulent intensity working conditions and one static control were set up. Flow velocities under different turbulent intensities and their dissolved oxygen concentrations were measured. The Reynolds number （Re） of each condition was calculated. The migration and transformation behaviors of four nitrogen forms (ammonia, nitrite, nitrate and total nitrogen in overlying water and pore water from fluid mud layer and black layer) were analyzed. The results showed that DO concentration distributed with various aeration turbulent intensities, which lead different transformation pathways of occurrence of endogenous nitrogen .Under the condition of 28.8~32.0 cm/s flow velocities and 1 810~2 113 the Reynolds numbers, ammonia and total nitrogen in overlying water exhibited better removal efficiency, indicating that turbulent intensity played a significant role in the transformation process of endogenous ammonia and total nitrogen. Compared with static control regime, areation made the fluid mud layer have a higher nitrite and nitrate concentration, it may diffuse to overlying water and black layer. The diffusion nitrite and nitrate in black layer should adopt denitrification or anaerobic ammonium oxidation pathways to remove endogenous nitrogen under hypoxia or anaerobic condition.

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Regeneration pattern and limitation of understory woody plants of artificial forest in Shanghai

ZHANG Jing, GUO Xue-yan, DA Liang-jun, WANG Jie,HUI Xiao-ping, GENG Ye

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 11-19.

Abstract （2651）

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Combining the method of French-Swiss schools and that of British-American schools, species composition, diversity, frequency, regeneration patterns of different communities and structures, limitation factors of understory woody plants in the artificial plantation of Shanghai central city and the Green Belt were studied from 2007 to 2009 in 908 plots. The result showed that: ① The species richness in understory layer were much more abundant than in the upper layer, the species diversity of the needle broad-leaved mixed forest and the mixed evergreen and deciduous broad-leaved forest were much higher than the other community types, and so did the tree-shrub-herb structure and the tree-herb structure compared with the shrub-herb structure. ② 101 woody plant species were detected in the regeneration layer including 33 evergreen species and 68 deciduous species; only 36 species which mainly composed of deciduous broad-leaved trees and native species had the frequency of more than 1%; 〖WTBX〗Ligustrum lucidum〖WTBZ〗 and〖WTBX〗 Cinnamomum camphora〖WTBZ〗 appeared in more than half of the communities，the rates of frequency are 58.6% and 53.7%, respectively. ③ It was suggested that the seed sources and dispersal, light intensity, the soil moisture and the coverage of the regeneration layer were the key limitation of understory vegetation regeneration.

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Within-community variability of plant leaf N and P contents in Tiantong, Zhejiang Province

KANG Meng, XIE Yi-ming, XU Yue, XU Yi-lu, YAN En-rong

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 20-29, 49.

Abstract （3340）

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Exploring inter- and intra-specific variations in leaf N and P contents and their relationship with other community properties is important for revealing community assembly. In this study a plot with size of 40 m×40 m, containing 46 species and 554 individuals, was selected in an evergreen broad-leaved forest (EBLF) in Tiantong region, Zhejiang Province. The N and P contents in foliage of each individual were quantified. The inter- and intra-specific variations in leaf N and P stoichiometry and their relationship with each of community height, individual size and micro-environmental conditions were analyzed. It was found that ① the mean of N and P contents and N/P was (16.7±5.11) mg·g ^-1, (0.44±0.25) mg·g ^-1, and (44.99±23.53) mg·g ^-1, respectively; ② leaf N and P stoichiometry at community level can be accurately estimated by the weighted mean value resulting from the most abundant species; ③ inter-species scale was responsible for the relatively large variance of leaf N contents, while intra-species scale was accounted for the relatively large variation in P content; and ④ leaf N and P increased with increasing plant light exposure. It was concluded that variation in N and P contents is determined by both inter- and intra species differences, but P content is mainly controlled by community environment under P limited conditions.

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Study on the spatial pattern of Shanghai crime based upon GIS

ZHONG Hai-dong， WU Jian-ping， YU Bai-lang， WANG Zhan-hong

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 30-37, 55.

Abstract （3399）

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After discussing the advantages of using GIS in urban crime research and reviewing the research status based on GIS in home and abroad, this paper studied then the spatial pattern of Shanghai crimes (robbery, racketeering, theft and fraud) by applying ArcGIS, based on crime data of 2006 from Shanghai Public Security Bureau. The research shows there is an obvious concentration characteristics of the crime events within the outer ring road of Shanghai, especially in the central urban space, and there is a significant time pattern of Shanghai crimes, with the “hot spot” in the People’s Square. The result can be used as a useful support or basis for policy makers and the police departments for active crime attacks and preventions.

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Method for identifying individual street trees from the cloud data of the vehicle-borne laser scanning points

WU Bin, YU Bai-lang, YUE Wen-hui, TAN Wen-qi, HU Chun-ling, WU Jian-ping

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 38-49.

Abstract （3051）

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This paper presents a new layered extraction method for identifying laser scanning points that constitute an individual street tree using the grid points density information based on the cloud data of the laser scanning points. The characteristic information, including the height and crown diameter, were derived after an individual tree was identified. The original 3D points cloud data were processed by the following steps: establishing regular grids, layering the points cloud based on elevation value, calculating grid points density for each layer, extracting laser scanning points for each layer, identifying individual tree, and deriving characteristic information. The feasibility of the method was proved through case studies. The results show most of the laser scanning points that constitute an individual tree are extracted correctly. And the derived characteristic information was estimated to be as fairly accurate as the in situ data. The proposed method will expand the application domain of VLS and provide a new approach to the urban green space development and management.

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Relationship between the mean tidal level and the half-tide level in the Yangtze River estuary

MAO Xing-hua, GU Sheng-hua, MO Dan-feng, LI Qi

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 50-55.

Abstract （3309）

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Using the observational data of Wusong, Gaoqiao, Puzhen, and Luchaogang tidal stations of the Yangtze River estuary in recent years, and by the method of single factor linear regression, the relationships between the mean tidal level and the mean half-tide level were analyzed. The results showed that all stations have very good linear relationship between these levels. Based on this relationship, the mean tidal level can be calculated by using the high and low tide data. As the sea level of certain sea area is calculated using its representative station average of the whole point tide level in certain time, in case of the lack of long series of tidal data, the method here can help us to calculate the mean tidal level indirectly, and further to calculate the sea levels effectively.

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Monitoring of the airborne pollen grains in Shanghai

HUANG Jian-hua， WANG You-fang， SHEN Chun-lin， LYU Sen-lin

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 56-62.

Abstract （2861）

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In order to investigate the quantity, species and distribution pattern of the airborne pollen grains in Shanghai, a one-year monitoring project using Cour samplers from October 2009 was carried out in six sites of Shanghai.A total of 5 324 164 pollen grains were collected, ineluding 32 families, 27 genera or species. The largest quantity of the grains was observed in Putuo District and was followed by Songjiang, Zhabei, Pudong, Xuhui and Baoshan District in that order. Songjiang District has the most diverse species of pollen grains (48) and Xuhui has the least (37).The most commonly observed types are 〖WTBX〗Humulus〖WTBZ〗 scandens, 〖WTBX〗Platanus,〖WTBZ〗 Pinaceae, Taxodiaceae, Gramineae,〖WTBX〗 Ulmus〖WTBZ〗, 〖WTBX〗Artemisia〖WTBZ〗 and 〖WTBX〗 Salix〖WTBZ〗.The peak of the grains distribution occurred during two seasons of the year: spring (March and April) and autumn (September).

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Present status and development of the birdwatching in mainland China

CHENG Yi-xin, WANG Jun-yan, HE Xin, MA Zhi-jun

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 63-74.

Abstract （2920）

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This study collected and analyzed data on the present status and development of the birdwatching societies, birdwatchers, and birdwatching activites in mainland China through the methods of questionnaire, interview, etc. The study shows that, during the last decade, birdwatching societies and birdwatchers have been growing rapidly. There are over 20 000 birdwatchers in mainland China, over 5 000 of which have joined local birdwatching societies. Birdwatching societies have carried out various activities, such as birding, public environmental education, bird survey, etc. The societies have also worked collaboratively with reserves/parks, NGOs, Schools and local governments. However, fund is the biggest challenge of them, and they need urgent help. This paper, based on the investigation, gives the following suggestions for the development of birdwatching societies: Enhance the level of internal organizational construction; improve the participation and ability of the members on birdwatching societies; strengthen cooperation with governments and media; promote birdwatching ecotourism and enhance the diversity of funding sources.

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Decreased klotho expression and elevated blood phosphate level in presenilin PS1/PS2 conditional double knockout mice

WANG Dong， ZHAI Wen-zhu， SU Jing-jing， MENG Bo，ZHAO Zheng， HU Jin-feng

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 75-83, 91.

Abstract （4811）

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In this study, we investigated the expression of klotho, an anti-aging gene, and its involvement of premature aging phenotypes of presenilin 1/presenilin 2 conditional double knockout (PS cDKO) mice. The results showed that renal klotho level was significantly decreased in 12-month-old female PS cDKO mice when compared with control mice. Meanwhile, significant elevations of plasma phosphorus but slight reduction of calcium and almost no sign of renal dysfunction were observed. In PS cDKO brains, down-regulated klotho level was observed as early as 3 months of age. These findings indicate a possible role of klotho in the disorders of PS cDKO mice. The declined klotho expression may be responsible for the excess blood phosphate, but it seems that such a moderate decline in klotho level and impaired phosphate metabolism were not sufficient to elicit renal dysfunction in PS cDKO mice. However, as klotho is an anti-oxidative and anti-inflammation factor, klotho decline may contribute to the increased oxidative stress and inflammation in PS cDKO mice.

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Cyclo (L-Pro-L-Phe) dipeptide: the potential phosphodiesterase inhibitors

WU Jin， LU Xiao-ming， DUAN Ya-le

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 84-91.

Abstract （2244）

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A stable GPR41 receptor cell line was used to screen candidate agonist from the secondary metabolites extracted from gulf seaweed aflatoxin c-f-3 in Putian Fujian. The cAMP results have shown that the No.17 compound Cyclo (L-Pro-L-Phe), belonging to cyclic dipeptide, is able to increase intracellular cAMP in a variety of cells (including G41-CHO, G12-CHO, Mock-CHO, SH-sy5y and HEK293). We have demonstrated that No.17 compound induced cAMP increase in a GPCR-independent manner. Co-adminstration of adenylate cyclase activating agent forskolin and No.17 compound can lead to a further increase in cAMP level compared with those treated with forskolin alone. These results have suggested that No.17 compound may induce a sustained elevation of cAMP levels by inhibiting cAMP hydrolysis. Since No.17 compound shared similar chemical structures with some known PDE inhibitors, which may be a potential of phosphodiesterase inhibitors. This is the first report that Cyclo(L-Pro-L-Phe) could regulate cAMP formation in a variety of cells (G41-CHO, G12-CHO, Mock-CHO, SH-sy5y and HEK293).

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Compatibility characteristics of acellular porcine heart valve matrix co-crosslinked with procyanidins and glutaraldehyde

MA Xu-bing, ZHAI Wan-yin, ZHANG Jia-min, ZHU Zi-yan,ZHANG Hong-feng, CHANG Jiang

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 92-102.

Abstract （5735）

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The clinical used bioprosthetic heart valves (BHVs) were prepared from biological tissues by glutaraldehyde (GA) crosslinking. But the clinical application of BHVs is limited mainly due to calcification, cytotoxicity and remaining immunogenicity. Procyanidins (PC) can crosslink acellular heart valve matrix (AHVM) through hydrogen bond formation and prevent AHVM from calcification. The aim of this study is to modify GA crosslinking method using PC co-crosslinking to produce a much ideal material with higher compatibility for BHV preparation. Porcine aortic AHVM was crosslinked by 8 mg/mL PC for 4 h and then by 1.25 mg/mL GA for 44 h. The co-crosslinked AHVM was tested for cytocompatibility, blood compatibility and immunogenicity. The results showed that the in vitro adhesion rate of valvular interstitial cells on co-crosslinked AHVM was increased by 59% （78.75%～19.75%）when compared with that of GA-crosslinking. There was no difference in hemolysis between co- and GA- or PC-crosslinked AHVM. The co-crosslinked AHVM exhibited significant anti-thrombosis effect ((193±15.5) platelets) when compared with that of GA-crosslinked ((292.6±24.93) platelets). Furthermore, co-crosslinked AHVM displayed lower immunogenicity than that of GA-crosslinked ((49.33±6.3)% vs (95.27±5.26)%, cell adhesive rate). These results suggest that co-crosslinked AHVM has high potential to be used for preparation of BHVs.

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Association study of MC1R coding region polymorphisms and pigment phenotype in Chinese Han population

GU Hai-ying, ZHENG Hong-xia, LU Yang-yang, HU Hai-qun, LI Yue-yue,ZHANG Li, HE Ya-nan, WU Qi-han

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 103-110.

Abstract （3191）

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Skin cancer is one of the most common malignancies worldwide. Researches on western population indicated that the polymorphism of several candidate regulatory genes including 〖STBX〗MC1R〖STB3〗 could increase the risk for developing skin cancer through influencing human pigment characteristics. In our study, for the first time we evaluated whether single nucleotide polymorphisms (SNPs) of 〖STBX〗MC1R〖STB3〗 was associated with the pigment phenotypic characteristics like skin color in Chinese Han population. 7 polymorphism sites (c.200G>A, c.274G>A, c.359T>C, c.421G>A, c.488G>A, c.497C>G, and c.942A>G) were found in the coding region of 〖STBX〗MC1R〖STB3〗 gene in our samples, among which c.421G>A and c.497C>G were the first time to report polymorphic in Chinese Han population. Additionally, c.942A>G was found to be associated with skin color, its mutant homozygous GG was associated with light skin color (P=0.044, OR=0.16， 95% CI: 0.03~0.95). And the mutant heterozygous genotype GA of c.359T>C was associated with less number of freckles (P=0.040, OR=5.76, 95% CI: 1.05~31.53). 〖JP2〗The work indicated that variations in 〖STBX〗MC1R〖STB3〗 coding region indeed had some relation with pigment characteristics in Chinese Han population, which has reference value in clinical analysis.

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Several inequalities of the $\vec g$-expectation

YANG Cong, JIANG Long

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 111-115, 123.

Abstract （2658）

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Based on the related properties of the backward stochastic
differential equations and the $g$-expectation, Markov inequality,
Chebyshev inequality and Cantelli inequality of the $g$-expectation
were proved.

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Some minimax inequalities for vector valued mappings

YANG Ruo-yu

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 116-123.

Abstract （1835）

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By using a linear scalarization function and minimax
equalities in scalar case, some types of minimax inequalities for
vector-valued functions were established under natural quasi cone
convex and properly quasi cone convex assumptions. An example was
given to illustrate that the result is a generalization of the
corresponding one in reference.

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(2,1)-total labelling of some general\\[1mm] crown graphs of circle

LIU Xiu-li

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 124-130.

Abstract （1859）

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The coloring problem of (2,1)-total labelling of some
graphs was related to frequency assignment problems. By using the
eternal coloring method, a new labelling method according to the
feature of the general crown graphs of circle was given and the
(2,1)-total numbers of these graphs was obtained. And the
(2,1)-total labelling of graphs extends the total coloring of
graphs.

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Lower semicontinuity to parametric lexicographic vector equilibrium problems

FANG Zhi-miao, ZHANG Yu, CHEN Tao

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 131-135, 145.

Abstract （1796）

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In this paper, a parametric vector equilibrium problem in a
lexicographic order was first introduced. Then, by using an
auxiliary problem, the lower semicontinuity of the solution set map
was established based on the density of the solution set mapping for
a parametric lexicographic vector equilibrium problem.

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Representation theorem of generators for BSDEs with infinite time intervals

ZHANG Heng-min, FAN Sheng-jun

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 136-145.

Abstract （2174）

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Under the non-uniform Lipschitz condition (in $t$) of the
generator $g$ with respect to $(y,z)$ for backward stochastic
differential equations (BSDEs), a representation theorem of
generators and a converse theorem of solutions were established for
BSDEs with a finite or an infinite time intervals, which extend some
existing results.

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General result on precise asymptotics for self-normalized sums

LU Zhen-gang, JIANG Yu-qiu

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 146-153, 159.

Abstract （2086）

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Gien a sequence of i.i.d.~nondegenerate random variables
with zero means and belonging to the domain of attraction of the
normal law, by the weak convergence theorem and the tail probability
inequalities of the independent and identically distributed
sequence, a general result on precise asymptotics for the
self-normalized sums with generalized boundary functions has been
proved. It can describe the relations among the weighted function,
boundary function, convergence rate and limit value, then the known
results of this field are improved and extended.

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Normal families on sequence of omitted functions

YANG Liu, CHEN Qiao-yu

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 154-159.

Abstract （1892）

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Let~$\{f_{n}\}$~be a sequence of meromorphic functions on
a domain~$D$,~all of whose zeros have multiplicity at least $ 3$,and
each of which has a multiple pole. Let $\{h_{n}\}$~be a sequence of
meromorphic functions on~$D$, such that~$\{h_{n}\}$~converges
spherically locally uniformly to a function~$h$ which is
meromorphic and zero-free on $D$. If~$f'_{n}\ne h_{n}$,
then~$\{f_{n}\}$~is normal on~$D$.

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Conformal transformation between some Finsler Einstein spaces

ZHANG Xiao-ling

Journal of East China Normal University(Natural Sc 2013, 2013 (2): 160-166.

Abstract （2143）

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Liouville's Theorem proved that the Euclidean space can be
mapped conformally on itself only by a composition of M\"{o}bius
transformations. For Riemann spaces, Brinkmann obtained general
results. Little work has been done on Finsler spaces. This paper, by
navigation idea and properties of conformal map, proved that the
conformal transformation between Einstein Randers (or Kropina)
spaces must be homothetic.

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Techniques for estimating click-through rates of Web advertisements: A survey

JI Wen-di, WANG Xiao-ling, ZHOU Ao-ying

Journal of East China Normal University(Natural Sc 2013, 2013 (3): 1-14.

Abstract （6362）

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Computational advertising is a kind of advertising mechanism which has the capability to find the most suitable ads for given users and web content, so as to advertises them accurately. Therefore, estimating click-through rate (CTR) precisely makes significant difference in the efficiency of advertising on the Internet. Ad click-through rate prediction is to estimate CTR with click log, which is influenced by the nature features of ad, the position, the page information, user properties, the reputation of advertisers and such other factors. This paper is aimed to illustrate useful CTR prediction models, including CTR models for ads of abundant history data, CTR models for rare ads or new ads and some optimization models. Finally, the implementation methods with real data set were demonstrated as examples.

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Click-through rate prediction of online advertisements based on probabilistic graphical model

YUE Kun, WANG Chao-lu, ZHU Yun-lei, WU Hao, LIU Wei-yi

Journal of East China Normal University(Natural Sc 2013, 2013 (3): 15-25.

Abstract （5883）

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CTR (Click-Through Rate) prediction can be used to improve users’ satisfaction with respect to the presented online advertisements (ads) and support effective advertising. CTR prediction is the basis for personalized recommendation of online ads. It is also necessary to re-commend ads and predict their CTRs for the users that have no historical click-through records. In this paper, we adopted BN (Bayesian network), an important probabilistic graphical model, as the framework for representing and inferring the similarity and the corresponding uncertainty of the behaviors in ad search of different users. First, we constructed the BN to reflect the similarity between users by means of statistic computations on the historical records of user’s ad search. Then, we measured the behavior similarity between the users with click-through records and those without records quantitatively based on the mechanism of BN’s probabilistic inferences. Consequently, we predicted the CTRs of ads with respect to the users without historical click-through records, in order to provide a metric for ad recommendation. We made experiments on the training data of Tencent CA from KDD Cup 2012-Track 2 and tested the effectiveness of our methods.

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Application of reverse rank-aware queries in the Internet advertising

ZHANG Zhao, SHEN Kai-wen, GONG Xue-qing

Journal of East China Normal University(Natural Sc 2013, 2013 (3): 26-36，53.

Abstract （2131）

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The matching of the products’ features and users’ preferences is the key issue of the Internet Advertising. This paper introduced several important database query techniques bringing convenience for the information matching, provides their definitions and extended SQL, and the emphasis would be on reverse rank-aware queries. In the mean time, an example to demonstrate these query techniques was given. At last, the conclusion and vision were presented.

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