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Transcription factor BnaA1.WRKY53 is involved in regulation of auxin-induced leaf curling under boron deficiency in Brassica napus
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作者 Jinliang Yao Rui Cui +4 位作者 Beibei Fang Sheliang Wang Xiangsheng Ye Zhaojun Liu Fangsen Xu 《The Crop Journal》 2025年第4期1068-1080,共13页
Brassica napus(oilseed rape)is sensitive to boron(B)deficiency and exhibits young leaf curling in response to low-B stress at the seedling stage,which leads to reduced photosynthesis and plant growth.So far,no gene ha... Brassica napus(oilseed rape)is sensitive to boron(B)deficiency and exhibits young leaf curling in response to low-B stress at the seedling stage,which leads to reduced photosynthesis and plant growth.So far,no gene has been identified to be involved in B deficiency induced leaf curling.Our previous results showed the transcription factor BnaA1.WRKY53 might be involved in B-deficiency tolerance.However,altered BnaA1.WRKY53 expression does not influence B concentration in shoot,root and leaf cell walls,which suggests Bna A1.WRKY53 might be involved in other biological processes.Indeed,phenotypic and anatomical analyses revealed that BnaA1.WRKY53 negatively regulated the leaf curling induced by leaf epinasty by suppressing the overexpansion of palisade cells under B deficiency.Further transcriptome enrichment analysis of differentially expressed genes(DEGs)between wild-type and BnaA1.WRKY53overexpression line showed auxin response pathway was enriched.In addition,Arabidopsis DR5::GFP auxin reporter line showed B deficiency caused predominant auxin signal accumulation in the adaxial side and concomitant adaxial cell expansion,which indicated that B deficiency may induce leaf curling by altering auxin distribution.Phytohormone quantification and gene expression analysis demonstrated that BnaA1.WRKY53 prevent auxin overaccumulation in leaves by suppressing auxin biosynthetic genes under B deficiency.Furthermore,exogenous 1-naphthlcetic acid(NAA)treatment experiments revealed that high auxin could induce leaf curling and BnaA1.WRKY53 expression.Overall,these findings demonstrate that auxin and the transcription factor BnaA1.WRKY53 synergistically regulate leaf curling to maintain an optimal leaf area under B deficiency,and provide novel insights into the resistance mechanisms against B-deficiency-induced leaf curling in oilseed rape. 展开更多
关键词 Brassica napus Boron deficiency Leaf curling Leaf epinasty Adaxial side AUXIN WRKY
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严重烧伤并发Curling溃疡的护理
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作者 诸葛继美 张成玲 《临沂医学专科学校学报》 1998年第2期157-157,共1页
关键词 烧伤 并发症 护理 curling溃疡
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Experimental studies on curling development of artificial soils
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作者 Duaa Al-Jeznawi Marcelo Sanchez +1 位作者 Abbas J.Al-Taie Marcin Zielinski 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2019年第6期1264-1273,共10页
Soil curling is an important phenomenon associated with volume changes induced by increasing soil suction upon desiccation.The study of soil behaviors associated with drying in soils(e.g.soil shrinkage,desiccation cra... Soil curling is an important phenomenon associated with volume changes induced by increasing soil suction upon desiccation.The study of soil behaviors associated with drying in soils(e.g.soil shrinkage,desiccation cracks and curling)has received increasing attention over the last few years,which has been mainly driven by the forecast climate change that will warm up our planet.There are significant gaps in the current knowledge related to the factors that control the development of curling deformations in soils.For this,the curling phenomenon is investigated through laboratory desiccation tests on different mixtures of artificial soils.The effects of soil grain size distribution,mineralogy,soil microstructure,and soil water content on the curling deformation are analyzed.Digital photos were taken at regular time intervals during the tests to understand the volume changes in the soil samples during drying.It is found that soil fabric and soil water content have significant effects on curling scenario.It is observed that the percentage of sand particles and the initial water content play a critical role in the development of soil curling.Samples of pure clayey minerals experienced shrinkage without or with minor curling during drying. 展开更多
关键词 curling SHRINKAGE DESICCATION CRACKING SEDIMENTATION SUCTION Thin soil layers
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Curling ulcer in the setting of severe sunburn: A case report
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作者 Alexander Schosheim Michelle Tobin Anupama Chawla 《World Journal of Gastrointestinal Endoscopy》 CAS 2020年第11期500-503,共4页
BACKGROUND While sunburns are very common,especially in pediatrics,curling ulcers secondary to sunburns are a very rare entity that has not been noted in the literature in over fifty years.This case is the first addit... BACKGROUND While sunburns are very common,especially in pediatrics,curling ulcers secondary to sunburns are a very rare entity that has not been noted in the literature in over fifty years.This case is the first addition to the literature since the originally documented case.CASE SUMMARY A previously healthy 17 year old male presents to the emergency room with lethargy,shortness of breath on exertion,dark stools and nausea.His fatigue started to become significantly worse four days prior to admission.Approximately two weeks prior to admission,the patient was on a beach vacation with his family at which time he suffered severe sunburns.He had developed crampy epigastric abdominal pain,which was followed by dark,loose stools.On exam,he is non-toxic appearing,but with pallor and peeling skin on his face and chest with epigastric tenderness.Infectious stool studies were all negative including Helicobacter pylori.He denies use of any non-steroidal anti-inflammatory drugs and also denies alcohol or recreational drug use.While admitted he is found to be significantly anemic with his hemoglobin as low as 6.3 requiring two units of packed red blood cells.Endoscopy revealed several severe and deep ulcerations in the antrum and body of the stomach indicative of stress or curling ulcers.CONCLUSION While the incidence of stress ulcers is not known,it is most common with severe acute illness,most commonly presenting as upper gastrointestinal(GI)bleeding.It is essential to be aware of the risk of curling ulcers secondary to severe sunburns as patients with stress ulcer GI bleeding have increased morbidity and mortality compared to those who do not have GI bleed. 展开更多
关键词 curling ulcer SUNBURN Stress ulcer PEDIATRICS GASTROENTEROLOGY Gastrointestinal bleed Case report
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Curling of New Concrete Pavement and Long-Term Performance
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作者 Daba S. Gedafa M. Hossain +2 位作者 Z. Q. Siddique K. Fredrichs D. Meggers 《Journal of Civil Engineering and Architecture》 2012年第2期121-130,共10页
Curling results from the temperature differential across the concrete slab thickness and may induce undue stresses in newly placed slab. This study deals with the finite element (FE) analysis of curling, curling str... Curling results from the temperature differential across the concrete slab thickness and may induce undue stresses in newly placed slab. This study deals with the finite element (FE) analysis of curling, curling stresses, field measurement of curling on a newly built jointed plain concrete pavement, and comparison of its long-term performance using both Mechanistic-Empirical Pavement Design Guide (MEPDG) and HIPERPAVII software. The FE analysis was performed with a software program, ANSYS. The test section was modeled as a three-layer system with 300 mm concrete slab, 100 mm treated drainable base, and 150 mm lime-treated subgrade. All layers were assumed to be linear elastic. Temperature data was collected at five different depth locations across the concrete slab with digital data loggers. Curling was measured on five different days with a simple setup. The effect of temperature nonlinearities across the slab thickness was also examined. The results show that both upward and downward curling increase as the temperature differential increases. The maximum stress resulting from the combined effect of curling and traffic loading due to positive temperature differential is higher than that due to the negative temperature differential of the same magnitude. Since temperature differential has a significant influence on curling, both curling and curling stresses can be mitigated at an early age with temperature control, namely via enhanced curing. Both MEPDG and HIPERPAVII showed approximately the same performance for the PCC thickness ranging from 215 mm to 300 mm for this project. Performance prediction from HIPERPAVII is very sensitive to the change in PCC thickness less than 230 mm whereas MEPDG prediction is not as sensitive to the thickness change as with HIPERPAV 1I. 展开更多
关键词 curling HIPERPAVII long-term performance MEPDG.
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Effect of Deformation Condition on Axial Compressive Precision Forming Process of Tube with Curling Die
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作者 He YANG and Zhichao SUN College of Materials Science and Engineering, Northwestern Polytechnical University, Xi’an 710072, China 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2001年第1期135-136,共2页
The effect of the deformation condition on the axial compressive precision forming process of tube with curling die was investigated by using a rigid-plastic FEM. The results show that the forming accuracy depends mai... The effect of the deformation condition on the axial compressive precision forming process of tube with curling die was investigated by using a rigid-plastic FEM. The results show that the forming accuracy depends mainly on geometric condition rp/d0, little on tube material properties and friction condition; the relative gap △/2rp of double-walled tubes obtained decreases with Increasing rp/d0, and there is a parameter k for a given to/do or rp/t0, when rp/d0 >k, △/2rp< 1, otherwise △/2rp>1. 展开更多
关键词 Effect of Deformation Condition on Axial Compressive Precision Forming Process of Tube with curling Die
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严重烧伤并发Curling溃疡1例
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作者 赵洪良 赵连魁 +1 位作者 苏晓利 徐和平 《中华医学丛刊》 2004年第5期73-73,共1页
患儿石某,男性,1岁8个月,邯郸县人。主诉全身多处热液烧伤4天,伴高热、黑便、严重腹胀1天于2003-8月3日22点30分入院。缘于4天前,不慎坐于热米汤中,烧伤全身多处,在当地诊所治疗2天后,出现高热、黑便和严重腹胀对症处理效果不... 患儿石某,男性,1岁8个月,邯郸县人。主诉全身多处热液烧伤4天,伴高热、黑便、严重腹胀1天于2003-8月3日22点30分入院。缘于4天前,不慎坐于热米汤中,烧伤全身多处,在当地诊所治疗2天后,出现高热、黑便和严重腹胀对症处理效果不佳,前来我院,以“特重烧伤脓毒性休克,Curling溃疡”收入院。自入院以来,精神淡漠。 展开更多
关键词 严重烧伤 并发症 curling溃疡 小儿 消化道溃疡 消化道大出血
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FORECAST OF BREAKING LENGTH OF SIDE CURLING SHORT SPIRAL CHIPS 被引量:1
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作者 Li Zhenjia Qu Guimin Xu Yihong Tao Haihong Department of Mechanical Engineering, Harbin University of Science and Technology 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 1999年第4期297-302,共6页
The theoretical formula for estimating the side curling short spiral chips is simplified. On the basis of experiment, a practical formula for forecasting the chip breaking length is obtained. It is proved by experime... The theoretical formula for estimating the side curling short spiral chips is simplified. On the basis of experiment, a practical formula for forecasting the chip breaking length is obtained. It is proved by experiment that the result from the practical formula fits well with that from the experiments. 展开更多
关键词 Side curling Short spiral chip Chip breaking
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Kenya's Curling Moment
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作者 éRIC VINCENT FOMO 《ChinAfrica》 2022年第4期48-49,共2页
The East African country is a sports powerhouse, especially in athletics. It is now trying to develop curling An athlete moves forward, focused on his aim, and slides a stone across the ice. The curl is in place. Two ... The East African country is a sports powerhouse, especially in athletics. It is now trying to develop curling An athlete moves forward, focused on his aim, and slides a stone across the ice. The curl is in place. Two other athletes use brooms to furiously wipe the ice against the advancing piece of granite to keep it on course, without touching it, so that it comes to a stop close to the center of the “house,” as the target on the track is called. Curling is a high-intensity sport that needs strategy and focus. 展开更多
关键词 curling SPORTS PIECE
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Analysis and solution for the curling stone throwing of a novel six-legged curling robot in curling competition
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作者 Yuguang XIAO Ke YIN +2 位作者 Yue ZHAO Zhijun CHEN Feng GAO 《Frontiers of Mechanical Engineering》 2025年第3期83-98,共16页
In curling competitions, the throwing strategy has a decisive influence on the outcome of the game. When robots are applied to the sport of curling, they first need to understand the various throwing strategies in cur... In curling competitions, the throwing strategy has a decisive influence on the outcome of the game. When robots are applied to the sport of curling, they first need to understand the various throwing strategies in curling competitions and then adjust their motion control parameters to achieve the corresponding strategic throws. However, current curling strategy research lacks mathematical analysis and descriptive methods for throwing strategies tailored to robots. Moreover, research on how robots can solve for corresponding throwing strategies is lacking. These limitations have restricted the application and development of curling robots in the sport. Here, the concepts of the curling stone’s hitting domain and hitting tree are introduced to analyze and describe the curling strategies for robots by constructing the curling hitting domain through a curling collision model and by building the hitting tree through operations such as combination, permutation, and pruning. Furthermore, based on the solution methods for hitting domains and hitting trees, a search solution method for the control parameters of robots is developed. The research findings are integrated into a curling robot auxiliary decision-making software. With the help of the auxiliary software, the curling robot achieves victory in competitions against humans. The research outcomes are of great importance for the application and development of curling robots and legged robots. 展开更多
关键词 curling robot curling strategy legged robot control parameters
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小儿烧伤并发Curling溃疡外科处理的探讨
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作者 夏毓华 尹浩然 《实用外科杂志》 CSCD 1991年第10期545-546,共2页
Curling溃疡是小儿严重烧伤致命性并发症之一。由于本病可引起上消化道大出血,因此,急诊外科果断处理是挽救生命的必要措施。文献中有关小儿Curling溃疡经外科手术治疗而成活的病例报道不多,Bcrtin于1973年统计世界文献仅有8例。从1981... Curling溃疡是小儿严重烧伤致命性并发症之一。由于本病可引起上消化道大出血,因此,急诊外科果断处理是挽救生命的必要措施。文献中有关小儿Curling溃疡经外科手术治疗而成活的病例报道不多,Bcrtin于1973年统计世界文献仅有8例。从1981年以来我们手术治疗5例,成活4例。 展开更多
关键词 烧伤 curling溃疡 并发症 儿童
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多线程下载在模式数据传输中的应用与调优
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作者 王东岳 刘浩 《信息技术》 2025年第9期109-113,119,共6页
单线程ftp方式下载天气预报模式文件存在数量与时效性难以满足气象预报需求的问题。针对这个问题,采用优化的多线程下载axel程序与curl等工具,构建了自动、快速、稳定、不间断的预报模式资料下载平台。平台首次将多线程下载程序与优化... 单线程ftp方式下载天气预报模式文件存在数量与时效性难以满足气象预报需求的问题。针对这个问题,采用优化的多线程下载axel程序与curl等工具,构建了自动、快速、稳定、不间断的预报模式资料下载平台。平台首次将多线程下载程序与优化方法应用到气象预报模式文件的传输中,有效地缩短了预报模式文件的获取时间,满足了气象预报对数据时效性的要求,为气象预报提供了完整和稳定的基础资料支撑。 展开更多
关键词 预报模式 axel程序 CURL 多线程下载
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基于Curl实现的气象资料的通用传输的研究
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作者 王东岳 《林业科技情报》 2025年第2期254-256,共3页
及时而稳定气象资料支撑是气象预报与科研任务的基础[1],省级气象部门需要通过地面线路从国家气象信息中心以ftp(File Transfer Protocol)协议下载数值预报模式等资料[2],由于ftp协议工作交互模式下,在实际应用中,在Linux系统中基于ftp... 及时而稳定气象资料支撑是气象预报与科研任务的基础[1],省级气象部门需要通过地面线路从国家气象信息中心以ftp(File Transfer Protocol)协议下载数值预报模式等资料[2],由于ftp协议工作交互模式下,在实际应用中,在Linux系统中基于ftp交互模式很难做到自动、稳定、高速下载气象资料的功能[3]。针对这个问题,该研究对curl的功能进行了详细的研究,基于curl实现对ftp协议的重要功能实现直接调用,研发了通用气象资料的传输平台,平台解决了ftp交互模式下载资料的问题,实现了通过发挥ftp协议的功能同时,又克服了需要交互执行的不足,对气象资料的稳定传输与支撑工作做出了重要贡献。 展开更多
关键词 FTP SHELL CURL 下载
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A DECREASING PROPERTY OF THE 3D MAGNETO-HYDRODYNAMIC FLOWS ON A TORUS
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作者 Zhaoxia LIU 《Acta Mathematica Scientia》 2025年第4期1384-1390,共7页
Let(u,B)be a strong solution of the magneto-hydrodynamic system on three dimensional torus T^(3).In this note,using the properties of the curl operator,we show that‖(▽×(u-B),▽×(u+B))(·,t)‖L^(1)+1/2v... Let(u,B)be a strong solution of the magneto-hydrodynamic system on three dimensional torus T^(3).In this note,using the properties of the curl operator,we show that‖(▽×(u-B),▽×(u+B))(·,t)‖L^(1)+1/2v‖(u-B,u+B)(·,t)‖_(L^(2))^(2)is decreasing in time t as long as the solution(u,B)(·,t)exists,where∇×w means the curl of the vector function w,and v>0 is the viscosity coefficient. 展开更多
关键词 magneto-hydrodynamic equations strong solution curl operator
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Identification and Sequence Analysis of Tomato Leaf Curl New Delhi Virus
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作者 Yue ZHANG Jiawei NIU +3 位作者 Xingsheng LI Xiping SUN Yangdong GUO Xiaowei YUAN 《Agricultural Biotechnology》 2025年第4期20-23,共4页
[Objectives]This study was conducted to detect and analyze tomato leaf curl New Delhi virus(ToLCNDV).[Methods]Through PCR detection,sequence analysis,and pathogenicity verification,tomato leaf curl New Delhi virus(ToL... [Objectives]This study was conducted to detect and analyze tomato leaf curl New Delhi virus(ToLCNDV).[Methods]Through PCR detection,sequence analysis,and pathogenicity verification,tomato leaf curl New Delhi virus(ToLCNDV)was identified in zucchini exhibiting systemic disease symptoms during a 2024 outbreak in Qingzhou City,Shandong Province,and was designated as ToLCNDV-SD.[Results]Specific primer amplification showed that all eight diseased samples produced bands of 504 bp(DNA-A)and 892 bp(DNA-B).Sequencing analysis revealed that ToLCNDV-SD DNA-A shared 96.10%homology with an Indonesian melon isolate(LC421834.1),while DNA-B showed 88.31%homology with a Malaysian bitter gourd isolate(MW248678.1).Phylogenetic analysis indicated its closest relationship with Southeast Asian cucurbit-infecting isolates.Friction transmission tests confirmed that the virus could spread mechanically,inducing typical symptoms 14 d after inoculation with positive PCR detection.[Conclusions]This study provides important insights for understanding the epidemic mechanisms and control strategies of ToLCNDV in China. 展开更多
关键词 ZUCCHINI Tomato leaf curl New Delhi virus(ToLCNDV) IDENTIFICATION Sequence analysis
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1例特重度烧伤并发消化道出血患者的护理 被引量:3
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作者 梁宁宁 谭惠仪 +2 位作者 陈丽映 杨梅英 余惠 《护理实践与研究》 2017年第23期156-157,共2页
应激性溃疡是指在严重烧伤、创伤、休克、严重感染等各种强烈应激情况下发生的急性胃肠道黏膜糜烂、溃疡、出血[1].烧伤后应激溃疡又称Curling溃疡,是一种严重烧伤后消化系统并发症,是发生消化道出血的原因之一[2].有研究表明[3],烧伤越... 应激性溃疡是指在严重烧伤、创伤、休克、严重感染等各种强烈应激情况下发生的急性胃肠道黏膜糜烂、溃疡、出血[1].烧伤后应激溃疡又称Curling溃疡,是一种严重烧伤后消化系统并发症,是发生消化道出血的原因之一[2].有研究表明[3],烧伤越重,应激性溃疡的发病率越高. 展开更多
关键词 消化系统并发症 特重度烧伤 消化道出血 出血患者 curling溃疡 应激性溃疡 护理 严重烧伤
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高速列车车头曲面气动噪声的数值预测 被引量:37
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作者 肖友刚 康志成 《中南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2008年第6期1267-1272,共6页
利用映射法生成高速列车头部流场的六面体贴体网格。采用三维大涡模拟法(LES)计算高速列车流线型头部的瞬态外流场,利用Lighthill-Curle声学比拟理论预测高速列车头部诱发的气动噪声。研究结果表明:气动噪声在很宽的频带内存在,是一种... 利用映射法生成高速列车头部流场的六面体贴体网格。采用三维大涡模拟法(LES)计算高速列车流线型头部的瞬态外流场,利用Lighthill-Curle声学比拟理论预测高速列车头部诱发的气动噪声。研究结果表明:气动噪声在很宽的频带内存在,是一种宽频噪声;在低频时,声压幅值较大,随着频率升高,幅值下降;当来流速度一定时,距离气动噪声源越远,总声压级越低,但总声压级的衰减幅度减少;随着列车运行速度增加,诱发的噪声加大,但距离车头曲面越远,总声压级的增幅越小;同一噪声源在不同受声点引起的噪声频谱曲线基本相似,控制列车运行过程中产生的脉动压力,能够减少气动噪声。 展开更多
关键词 高速列车 车头曲面 脉动压力 气动噪声 Lighthill—Curle声学理论
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基于CURL异构数字资源统一检索的研究 被引量:5
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作者 张卫 罗长寿 +2 位作者 张峻峰 于峰 栾汝朋 《中国农学通报》 CSCD 北大核心 2010年第22期399-402,共4页
运用CURL技术,实现对不同异构数字资源的统一检索。首先通过嗅觉器抓取和分析不同异构数字资源的传递参数,对传递参数进行元数据描述以后,运用CURL把参数传递到不同的异构数字资源库,最后通过分析传回的网页,实现在同一页面显示不同异... 运用CURL技术,实现对不同异构数字资源的统一检索。首先通过嗅觉器抓取和分析不同异构数字资源的传递参数,对传递参数进行元数据描述以后,运用CURL把参数传递到不同的异构数字资源库,最后通过分析传回的网页,实现在同一页面显示不同异构数字资源的检索结果。通过对北京农业数字图书馆不同异构数字资源的整合,实现了对馆内异构数字资源的统一检索。 展开更多
关键词 异构数字资源 统一检索 CURL 嗅觉器
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Tomato leaf curl Bangladesh病毒完整基因组上微卫星分布 被引量:7
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作者 杨纪青 杨硕 +2 位作者 杨莉 袁磊 杨建强 《中国农学通报》 CSCD 北大核心 2010年第24期20-27,共8页
为了展示Tomato leaf curl Bangladesh病毒完整基因组上的微卫星分布特性。借助MATLAB软件、应用最优完全子图算法,提取并展示NCBI数据库中Tomato leaf curl Bangladesh病毒完整基因组(AF_188481.1)上的微卫星分布特性,计算1-碱基组至6... 为了展示Tomato leaf curl Bangladesh病毒完整基因组上的微卫星分布特性。借助MATLAB软件、应用最优完全子图算法,提取并展示NCBI数据库中Tomato leaf curl Bangladesh病毒完整基因组(AF_188481.1)上的微卫星分布特性,计算1-碱基组至6-碱基组在完整基因组序列上重复出现的次数和位置,展示它们的分布规律(指数函数)。结果表明:Tomato leaf curl Bangladesh病毒完整基因组(AF_188481.1)上各种N-碱基组(N取1至6)最大的重复出现次数,随N按指数函数数减少;笔者提取和展示Tomato leaf curl Bangladesh病毒完整基因组序列微卫星分布特性(特别是微卫星各种N-碱基组重复出现的位置和次数)的方法,可以系统地运用到其他病毒完整基因组序列微卫星分布特性的提取和展示中,从而为有效利用微卫星分布特性研究完整基因组的结构和功能、遗传和变异规律提供完备、仔细的数据支撑。 展开更多
关键词 TOMATO LEAF CURL Bangladesh病毒 完整基因组 微卫星 分布特性 最优完全子图算法
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气动声学Lighthill方程的Kirchhoff积分解分析 被引量:6
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作者 蔡建程 刘志宏 曾向阳 《声学技术》 CSCD 2014年第2期99-103,共5页
Lighthill的声类比(acoustic analogy)是目前气动声定量预测中应用最为广泛的一种方法。使用非齐次波动方程的Kirchhoff积分公式对Ligthhill方程进行求解。Kirchhoff公式中的延迟时间表示不同位置点声源对场点声压叠加时的相位作用,推... Lighthill的声类比(acoustic analogy)是目前气动声定量预测中应用最为广泛的一种方法。使用非齐次波动方程的Kirchhoff积分公式对Ligthhill方程进行求解。Kirchhoff公式中的延迟时间表示不同位置点声源对场点声压叠加时的相位作用,推导时强调延迟时间函数的导数运算。基于Kirchhoff积分公式对于有物体存在于流场中的情况,详细推导了Curle解,并对Curle公式中的各声源项进行了分析。文章有助于气动声学初学者正确地认识声类比理论,加深对Curle公式的理解。 展开更多
关键词 气动声学 声类比 Lighthill方程 Kirchhoff积分公式 Curle公式
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