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C^#开发OpenGL的图形绘制方法研究 被引量:6
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作者 王家华 李宪龙 《现代电子技术》 2007年第24期94-95,101,共3页
OpenGL作为一种高性能图形和交互式视景处理的标准,许多软件开发商提供的程序设计语言都提供了对开发基于OpenGL应用软件的支持,如C++等。但是,还没有在C#中使用OpenGL的标准和规范的方法。不过在C#中实现OpenGL也并非没有可能。结合常... OpenGL作为一种高性能图形和交互式视景处理的标准,许多软件开发商提供的程序设计语言都提供了对开发基于OpenGL应用软件的支持,如C++等。但是,还没有在C#中使用OpenGL的标准和规范的方法。不过在C#中实现OpenGL也并非没有可能。结合常用的第三方软件,将讨论2种在C#中开发OpenGL的方法-CsGL和Tao图形框架,该方法较其他方法实现简单而且富有技巧性。 展开更多
关键词 C^# OPengl CsGL TAO
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有限群的弱n-Engle条件和p-幂零性(英文)
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作者 钟祥贵 《广西科学》 CAS 2004年第1期1-3,9,共4页
有限群 G的一个弱 n- Engle条件是指 :对于 G的 2个元素 x,y和某个非负整数 n,[x,ny]∈ Z(G)成立 ,如果存在 G的一个子群 K满足 H K =G和 H∩ K≤ Core G(H ) ,则 G的一个子群 H称为 c-可补的 .利用极小子群的弱 n- Engle条件和 4阶循... 有限群 G的一个弱 n- Engle条件是指 :对于 G的 2个元素 x,y和某个非负整数 n,[x,ny]∈ Z(G)成立 ,如果存在 G的一个子群 K满足 H K =G和 H∩ K≤ Core G(H ) ,则 G的一个子群 H称为 c-可补的 .利用极小子群的弱 n- Engle条件和 4阶循环子群的 c-可补性 ,讨论了 G的 p-幂零性 . 展开更多
关键词 有限群 engle条件 P-幂零群 C-可补子群
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Critical Pedagogy and Teaching English as a Foreign Language in Chinese College Context
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作者 蒋馨 《海外英语》 2013年第22期110-112,共3页
In the field of second language acquisition(SLA),weight has been increasingly attached to the role that a problem-pos ing model of education plays in English as second/foreign language(ES/FL)teaching and learning.By e... In the field of second language acquisition(SLA),weight has been increasingly attached to the role that a problem-pos ing model of education plays in English as second/foreign language(ES/FL)teaching and learning.By exploring various concepts of the problem-posing approach,also known as critical pedagogy,and its implications for English language teaching(ELT)in the Chinese postsecondary EFL context,the paper makes a tentative attempt to acknowledge the future directions of implementing critical pedagogy in the EFL context.Therefore,the paper is inspired by the ever-increasing popularity of the critical pedagogical approach in the ESL context.The application of critical orientation in language education derives from critical theories of the Frankfurt School,which centers on Marxist societal beliefs of struggling against social inequalities.With the concept of critical pedagogy drawing increasing attention from language educators and teachers alike in English-speaking countries;non-native English teachers who teach in the EFL context has also begun to focus their attention on the educational philosophy as a means to help transform traditional oppressed status of the Chinese EFL learners.From this perspective,this paper,by investigating the multi-dimensional implied meanings of implementing critical pedagogy in the EFL context,unraveling how it works as a way of"doing"in second language(L2)teaching and learning,identifying the probable contexts of critical pedagogy and the contesta tions surrounding critical pedagogy,aims to address the significance of implementing critical pedagogy as an effective way of re forming the ailing English education condition in China. 展开更多
关键词 CRITICAL PEDAGOGY SECOND language ACQUISITION engl
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谈钢琴演奏艺术的魅力——观钢琴演奏家Marilyn Engle讲座有感
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作者 韩璐 《黄河之声》 2014年第11期76-77,共2页
钢琴是一种艺术性极强的乐器,一个好的演奏者除了具备高超的演奏技巧,还需要将内心的感悟传递给听众,完美地阐释音乐艺术,这离不开多方面的努力。钢琴家Marilyn Engle通过一场生动的教学讲座,带我们走进钢琴艺术的世界,领略钢琴演奏艺... 钢琴是一种艺术性极强的乐器,一个好的演奏者除了具备高超的演奏技巧,还需要将内心的感悟传递给听众,完美地阐释音乐艺术,这离不开多方面的努力。钢琴家Marilyn Engle通过一场生动的教学讲座,带我们走进钢琴艺术的世界,领略钢琴演奏艺术的魅力。 展开更多
关键词 钢琴演奏 Marilyn englE 坐姿 力量运用 音乐表现力
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Reply to Comments on "Structural,Optical,and Electrical Properties of Zn-Doped CdO Thin Films Fabricated by a Simplified Spray Pyrolysis Technique'' by K.Usharani and A.R.Balu published in Acta Metall.Sin.(Engl.Lett.) 28(1),64–71(2015) 被引量:36
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作者 A.R.Balu 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2018年第9期1007-1008,共2页
Following are the comments for the queries raised by Prof. Pawel E. Tomaszewski on our published paper entitled "Structural, Optical, and Electrical Properties of Zn-Doped CdO Thin Films Fabricated by a Simplified Sp... Following are the comments for the queries raised by Prof. Pawel E. Tomaszewski on our published paper entitled "Structural, Optical, and Electrical Properties of Zn-Doped CdO Thin Films Fabricated by a Simplified Spray Pyrolysis Technique" by K. Usharani and A.R. Balu published in Acta Metall. Sin. 展开更多
关键词 Cd engl.Lett Structural Optical and Electrical Properties of Zn-Doped CdO Thin Films Fabricated by a Simplified Spray Pyrolysis Technique by K.Usharani and A.R.Balu published in Acta Metall.Sin Zn
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Tissue Culture and Rapid Propagation of Spathiphyllum kochii Engl. et Krause 被引量:2
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作者 Shufang FAN Furong MAO +3 位作者 Bin LIU Dawei JIAN Xiaoqin LI Xuezhi ZUO 《Agricultural Biotechnology》 CAS 2019年第2期86-89,共4页
[Objectives] This study was conducted on tissue-culture rapid propagation techniques of Spathiphyllum kochii Engl. et Krause. [Methods] With lateral buds of S. kochii as explants, the effects of such four basic media ... [Objectives] This study was conducted on tissue-culture rapid propagation techniques of Spathiphyllum kochii Engl. et Krause. [Methods] With lateral buds of S. kochii as explants, the effects of such four basic media as MS, B5, Nitsch and Wpm and the ratio of two hormones(1, 2, 3 mg/L 6-BA and 0.1, 0.3, 0.5 mg/L NAA) on bud proliferation of S. kochii were studied by the complete test method, and the effect of the ratio of the two hormones(0.25, 0.50, 1.00 mg/L NAA and 1.0, 1.5 mg/L IBA) on rooting of S. kochii as well as the effect of substrate ratio(perlite and peat soil at 1∶9, 2∶8, 3∶7, 4∶6 and 5∶5) on its transplanting survival rate were also studied. [Results] The best basic medium for the rapid propagation of S. kochii was MS. The best hormone ratio suitable for bud proliferation was 2 mg/L6-BA+0.1 mg/L NAA, and the average number of buds proliferated at 45 d was 3.04. The average bud height was 2.05 cm; the most suitable medium for rooting was 1/2 MS+1 mg/L IBA+0.25 mg/L NAA, and its rooting rate was 100%; and the best transplanting substrate was 5∶5 perlite and peat. The soil ratio had a survival rate of 94%. [Conclusions] This study provides a theoretical basis for the improvement of the transplanting survival rate of test-tube S. kochii plantlets. 展开更多
关键词 Spathiphyllum kochii engl. ET Krause TISSUE CULTURE RAPID PROPAGATION
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Comments on "Structural,Optical,and Electrical Properties of Zn-Doped CdO Thin Films Fabricated by a Simplified Spray Pyrolysis Technique'' by K.Usharani and A.R.Balu Published in Acta Metall.Sin.(Engl.Lett.) 28(1),64–71(2015) 被引量:1
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作者 Pawe? E.Tomaszewski 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2018年第9期1006-1006,共1页
The commented paper [1] presents the results on structural, optical, and electrical properties of Zn-doped CdO thin films. Unfortunately, there are several mistakes and errors not found by any of referees. It is neces... The commented paper [1] presents the results on structural, optical, and electrical properties of Zn-doped CdO thin films. Unfortunately, there are several mistakes and errors not found by any of referees. It is necessary to show these mistakes or misleading statements to avoid their use in the future papers by authors and other peoples. 展开更多
关键词 Cd Comments on engl.Lett Structural Optical and Electrical Properties of Zn-Doped CdO Thin Films Fabricated by a Simplified Spray Pyrolysis Technique by K.Usharani and A.R.Balu Published in Acta Metall.Sin Zn
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On the Effect of Teacher Talk on Teacher-Student Rapport in College English Classroom
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作者 程佳 《海外英语》 2013年第22期102-103,共2页
This paper aimed to investigate the effect of teacher talk on teacher-student rapport in college English classroom.Be sides,it attempted to analyze how to build teacher-student rapport in English classroom based on th... This paper aimed to investigate the effect of teacher talk on teacher-student rapport in college English classroom.Be sides,it attempted to analyze how to build teacher-student rapport in English classroom based on the theories of teacher Talk,hoping that it can assist teachers to upgrade their awareness in teacher talk and increase language learning and teaching efficiency. 展开更多
关键词 TEACHER TALK teacher-students RAPPORT COLLEGE engl
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Elaboration and Characterization of a Composite Material Based on <i>Canarium schweinfurthii</i>Engl Cores with a Polyester Matrix
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作者 Dieunedort Ndapeu Francis Tamwo +4 位作者 Morino Bernard Nganou Koungang Ghislain Tchuen Nicodème R. Sikame Tagne Sophie Bistac Ebénezer Njeugna 《Materials Sciences and Applications》 2020年第3期204-215,共12页
The aim of this work was to develop and characterize a polyester matrix composite material based on Canarium schweinfurthii Engl core granule. The particle size and the mass fractions of these cores used as fillers in... The aim of this work was to develop and characterize a polyester matrix composite material based on Canarium schweinfurthii Engl core granule. The particle size and the mass fractions of these cores used as fillers in this composite were the two optimization parameters. The experimentation of the twelve sample areas was based on the following optimization parameters: Three particles sizes of 80 1 2 3 &middot;m-3, which allows us to admit that this composite belongs to the family of light materials. The maximum compressive stress at break was obtained for the formulation 40% filler of size T3. This compressive stress at maximum rupture is in the range of 199.14 MPa. From 0% to 45% of filler, the flexural Young’s modulus of the composite increases whatever the particle size. The highest value is obtained for T2 particle size, i.e. 13.11 GPa. The static friction coefficient of the composite on wood increases as the filler content varies from 0.30 to 0.42. Thus, in view of the properties obtained, this composite can be used as alternative solutions in industrial applications, for the manufacturing of shoe heel, house ceiling, floors for housing and table support. 展开更多
关键词 Canarium schweinfurthii engl CHARACTERIZATION Composite Polyester FILLER
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Physical, Water Diffusion and Micro-Structural Analysis of “Canarium Schweinfurthii Engl”
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作者 Bernard Morino Ganou Koungang Dieunedort Ndapeu +5 位作者 Gilbert Tchemou Paul William Huisken Mejouyo Bernard Wenga Ntcheping Josepha Tendo Foba Luc Courard Ebenezer Njeugna 《Materials Sciences and Applications》 2020年第9期626-643,共18页
The purpose of this study is to determine the morphological, microstructural characteristics and water diffusion parameters of the Canarium schweinfurthii (CS) shellnut. This work is part of a vast project to valorize... The purpose of this study is to determine the morphological, microstructural characteristics and water diffusion parameters of the Canarium schweinfurthii (CS) shellnut. This work is part of a vast project to valorize the above-mentioned cores for possible industrial use as charges in composites or abrasives materials. The study was based on the characterization of intrinsic physical characteristics of the coreshells scanning electron microscopic (SEM) observations desorption, adsorption and absorption kinetics. The water diffusion phenomenon was modeled and it appears that the Page model well predicted the kinetic of drying, absorption and adsorption. The effective diffusion coefficient and the energy of activation were calculated at three isothermal temperatures (50<span style="white-space:nowrap;">°</span>C, 70<span style="white-space:nowrap;">°</span>C and 90<span style="white-space:nowrap;">°</span>C). There was a tendency for hysteresis in the sorption-desorption cycles. These results strongly predicted the possibility of using these products as a filler in composites, clay building materials and cement because of their high water diffusion stability on a macroscopic scale. 展开更多
关键词 Bioresources Shellnut Canarium Schweinfurthii engl MICROSCOPY Water Absorption Moisture Adsorption DESORPTION
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基于Engl极小化原则确定Robin系数的数值求解
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作者 马衍波 瞿丹 《韩山师范学院学报》 2021年第3期6-11,共6页
考虑分段常数的Robin反问题的数值求解,给出一种自适应的TV泛函,该泛函综合了Tikhonov正则化方法和TV正则化方法的优点;基于Engl误差极小化原则用牛顿法决定正则参数.数值实验表明,该方法对分段常数的Robin反问题的恢复有较好的效果.
关键词 Robin系数 TIKHONOV正则化 反问题 engl极小化
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“Border Crossing”in English Job-Seeking Discourse——Informalization and Marketization in One Creative Résumé
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作者 满易 《海外英语》 2014年第18期200-202,206,共4页
Border crossing is a metaphoric term in sociolinguistics referring to a blurring of English use across different domains of social discourses.This article shows how border crossing in English job-seeking discourse is ... Border crossing is a metaphoric term in sociolinguistics referring to a blurring of English use across different domains of social discourses.This article shows how border crossing in English job-seeking discourse is manifested in a real-life English creative résumé,and how this phenomenon brings about two related consequences,informalization and marketization,through critically analyzing the informal and promotional features of the résumé.It then reaches the conclusion that such border crossing phenomenon reflects a voice by the young in reconstructing their self-identities in job-seeking discourse in post-industrialized,post-modern western societies. 展开更多
关键词 BORDER CROSSING informalization MARKETIZATION engl
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Business Oral English Teaching Based on Task-Based Approach
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作者 董慧 《商情》 2013年第28期123-123,共1页
关键词 摘要 编辑部 编辑工作 读者
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Enhancing the antioxidant and anti-inflammatory potential of Citrus aurantium L.var.amara Engl.Via strain-specific microbial fermentation
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作者 Wenwen Tan Yaqian Yan +3 位作者 Yutao He Changtao Wang Dongdong Wang Meng Li 《Food Bioscience》 2025年第12期546-558,共13页
Despite the growing interest in natural products for skin health,the potential of fermented Citrus aurantium L.var.amara Engl.Extracts remain underexplored.This study investigates,for the first time,the strain-specifi... Despite the growing interest in natural products for skin health,the potential of fermented Citrus aurantium L.var.amara Engl.Extracts remain underexplored.This study investigates,for the first time,the strain-specific effects of fermentation with Saccharomyces cerevisiae and Lactiplantibacillus plantarum on the bioactive compo-sition and functional properties of this botanically significant material.The findings revealed that fermentation differentially enhanced bioactive constituents:S.cerevisiae significantly increased polypeptide and polyphenol levels,while L.plantarum notably elevated protein,polysaccharide,and flavonoid contents.Critically,fermented extracts demonstrated markedly improved anti-inflammatory performance.Both fermented products inhibited cyclooxygenase-2(COX-2)expression,with S.cerevisiae fermentation exhibiting the strongest suppression of inducible nitric oxide synthase(iNOS).Furthermore,fermented samples(D2:L.plantarum;D3:S.cerevisiae)significantly reduced key pro-inflammatory cytokines IL-6 and TNF-α.For antioxidant capacity,the L.plantarum-fermented sample(D2)displayed superior scavenging abilities against ABTS and DPPH radicals.These results underscore that microbial fermentation-particularly in a strain-dependent manner-effectively enhances the anti-inflammatory and antioxidant potential of C.aurantium var.amara.This study provides a foundational basis for developing novel natural ingredients aimed at skin-health applications in cosmetics,functional foods,and pharmaceuticals. 展开更多
关键词 Citrus aurantium L.var.amara engl Anti-inflammatory properties Lactiplantibacillus plantarum Saccharomyces cerevisiae Antioxidant activity Fermentation
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Synthesis of a New Cerebroside Isolated from Typhonium giganteum Engl 被引量:1
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作者 陈雪松 吴毓林 陈迪华 《Chinese Journal of Chemistry》 SCIE CAS CSCD 2003年第7期937-943,共7页
The stereoselecfive synthesis of typhoniside, a new cerebroside isolated from Typhonium giganteum Engl. was accomplished. Cerebrosides are a kind of glycolipids highly enriched on the surface of myelin-producing cells... The stereoselecfive synthesis of typhoniside, a new cerebroside isolated from Typhonium giganteum Engl. was accomplished. Cerebrosides are a kind of glycolipids highly enriched on the surface of myelin-producing cells and are composed by CUM, 8-sphingadienine, a-hydroxy acid and a saccharide head. It was the first time that cerebrosides were isolated from this traditional Chinese medicine (TCM) by us. In this paper, C18-4, 8-sphingadienine was synthesized from D-xylose via a SN2 type reaction. α-Hydroxy add was prepared from (R )-4-hydroxyte-trahydrofuran-2-one, which in turn could be obtained from L-ascorbic acid. 展开更多
关键词 Typhonium giganteum engl. natural product cere-broside chiron approach SYNTHESIS
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黑云香化学成分的研究及其挥发油成分的GC-MS分析 被引量:1
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作者 其其格 包晓玲 +2 位作者 乌日吉木斯 韩阿斯如 李淑艳 《华西药学杂志》 北大核心 2025年第3期239-244,共6页
目的研究蒙药黑云香Commiphora mukul(Hook.ex Stocks)Engl.的化学成分并分析其挥发油成分。方法分离黑云香的乙酸乙酯萃取物并进行结构鉴定;提取黑云香挥发油并用GC-MS法分析鉴定其化学成分。结果从黑云香乙酸乙酯提取物中分离得到9个... 目的研究蒙药黑云香Commiphora mukul(Hook.ex Stocks)Engl.的化学成分并分析其挥发油成分。方法分离黑云香的乙酸乙酯萃取物并进行结构鉴定;提取黑云香挥发油并用GC-MS法分析鉴定其化学成分。结果从黑云香乙酸乙酯提取物中分离得到9个化合物,分别鉴定为:脱氢松香酸(Ⅰ)、柳杉二醇(Ⅱ)、愈创木-6(7)-烯-4β,10a-二醇(Ⅲ)、dihydropyrocurzerenone(Ⅳ)、莪术酮(Ⅴ)、7-trinoreudesma-4(15),8-dien-1β-ol-7-one(Ⅵ)、T-cadinol(Ⅶ)、eudesm-4(15)-ene-1β,6a-diol(Ⅷ)、邻苯二甲酸二丁酯(Ⅸ)。从黑云香挥发油中共鉴定出了35个挥发性成分,占挥发油组分总量的55.79%,其中,含量较高的挥发性成分有(1α,4α,4aα,10aα)-1,4,4a,5,6,9,10,10a-octahydro-11,11-dimethyl-1,4-methanocycloocta[d]pyridazine(12.98%)、β-sesquiphellandrene(9.20%)、(-)-isolongifolol acetate(9.03%)、ethylbenzoic acid(5.03%)、methyl 9,10-octadecadienoate(5.01%)等。结论化合物Ⅰ~Ⅶ均为首次从黑云香中分离得到;从黑云香挥发油中共鉴定出35个挥发性成分。 展开更多
关键词 蒙药 黑云香 化学成分 挥发油 气质联用法 分离鉴定
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基于UPLC-Q/TOF-MS技术的蒙药黑云香成分分析及HPLC含量测定研究 被引量:1
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作者 其其格 包晓玲 +3 位作者 李淑艳 乌日吉木斯 韩阿斯如 吴东兴 《中国现代应用药学》 北大核心 2025年第6期941-947,共7页
目的 基于UPLC-Q/TOF-MS技术分析蒙药黑云香成分,并采用HPLC同时测定黑云香中2种成分含量。方法 UPLC-Q/TOF-MS法采用Waters acquity UPLC BEH C_(18)色谱柱(2.1 mm×100 mm,1.7μm),柱温35℃,流动相为甲醇(A)-0.1%甲酸水(B),梯度洗... 目的 基于UPLC-Q/TOF-MS技术分析蒙药黑云香成分,并采用HPLC同时测定黑云香中2种成分含量。方法 UPLC-Q/TOF-MS法采用Waters acquity UPLC BEH C_(18)色谱柱(2.1 mm×100 mm,1.7μm),柱温35℃,流动相为甲醇(A)-0.1%甲酸水(B),梯度洗脱;体积流量0.3 mL·min^(-1);电喷雾离子源,正离子模式下采集质谱数据,质量扫描范围m/z 100~1 000。使用UNIFI Portal软件进行成分分析。HPLC使用Waters SymmetryR C_(18)色谱柱(4.6 mm×250 mm,5μm);流动相为甲醇(A)-0.1%磷酸水(B),梯度洗脱;体积流量1.0 mL·min^(-1);检测波长252 nm;柱温25℃。同时测定黑云香中2-甲氧基-5-乙酰基-呋喃吉玛(10)-烯-6-酮和脱氢松香酸2种成分的含量。结果 基于UPLC-Q/TOF-MS技术在正离子模式下检测出42个化合物;通过化合物的保留时间、母离子、碎片离子等相关信息,并查阅没药属药材的分离等相关文献,初步推测出化合物名称。采用HPLC进行2种成分的含量测定,分别在0.12~0.74、0.04~0.24μg·mL^(-1)内线性关系良好(r>0.999 1),平均加样回收率分别为99.01%、99.46%,RSD分别为0.62%、0.66%。结论 采用UPLC-Q/TOF-MS技术可以快速、准确分析黑云香化学成分;建立的含量测定方法简便可靠,可用于黑云香质量控制。 展开更多
关键词 黑云香 UPLC-Q/TOF-MS HPLC 成分分析 含量测定
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药食同源代代花的本草考证与化学成分、药理作用研究进展
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作者 廖淑彬 温秀萍 +1 位作者 褚克丹 赵峰 《中国民族民间医药》 2025年第2期74-83,共10页
代代花是芸香科柑橘属植物酸橙栽培变种之一代代的干燥花蕾,在我国应用历史悠久,是卫生部门公布的“既是食品又是药品的物品名单”中的花类植物。代代花含有挥发油类、黄酮类、多糖类、生物碱类、香豆素类等化学成分,在抗炎、抗肿瘤、... 代代花是芸香科柑橘属植物酸橙栽培变种之一代代的干燥花蕾,在我国应用历史悠久,是卫生部门公布的“既是食品又是药品的物品名单”中的花类植物。代代花含有挥发油类、黄酮类、多糖类、生物碱类、香豆素类等化学成分,在抗炎、抗肿瘤、抗氧化、化痰、抗抑郁等方面应用较广泛,市场上已存在多种与代代花相关的产品,人们对代代花的关注度也进一步提升。通过查阅历代草本书籍文献及国内外现代相关研究,从代代花的本草考证与化学成分、药理作用等方面进行分析和总结,以期正本清源,为代代花药食两用价值挖掘、代代花资源综合开发利用提供理论参考。 展开更多
关键词 代代花 药食同源 本草考证 化学成分 药理作用
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统计最优近场声全息中正则化方法的仿真与实验研究 被引量:4
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作者 杨超 陈进 +1 位作者 李加庆 薛玮飞 《中国机械工程》 EI CAS CSCD 北大核心 2008年第20期2478-2482,共5页
基于统计最优近场声全息的声场重建是典型的反问题,测量误差的存在使得该反问题的求解具有"不适定"特性。为此,通过两种不同的正则化方法解决上述问题:第一种方法采用标准的Tikhonov正则算子,并结合需要测量信号先验知识的Mor... 基于统计最优近场声全息的声场重建是典型的反问题,测量误差的存在使得该反问题的求解具有"不适定"特性。为此,通过两种不同的正则化方法解决上述问题:第一种方法采用标准的Tikhonov正则算子,并结合需要测量信号先验知识的Morozov偏差原则;第二种方法采用标准的Tikhonov正则算子,并结合不需要测量信号先验知识的Engl误差最小化原则。统计最优近场声全息在空间域直接实现声场重建的过程可以转化为矩阵的特征值求解问题,这为在重建过程中应用上述正则化方法提供了可能。数值仿真和实验结果表明,两种正则化方法可以有效地提高声场的重建精度。 展开更多
关键词 统计最优近场声全息 正则化 Morozov偏差原则 engl误差极小化原则
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子群的性质对有限群结构的影响 被引量:16
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作者 李方方 曹洪平 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第8期5-8,共4页
设G为有限群,N是G的正规子群.证明了定理1设N■G,N幂零,G/N幂零.只要满足下列条件之一,则G幂零.(1)G/Φ(N)幂零(此条件可以不需要G/N幂零).(2)G/N幂零.(3)G没有真子群A,使G=NA.(4)存在M≤G,使得N≤Φ(M).进一步利用S-半正规、付正规与弱... 设G为有限群,N是G的正规子群.证明了定理1设N■G,N幂零,G/N幂零.只要满足下列条件之一,则G幂零.(1)G/Φ(N)幂零(此条件可以不需要G/N幂零).(2)G/N幂零.(3)G没有真子群A,使G=NA.(4)存在M≤G,使得N≤Φ(M).进一步利用S-半正规、付正规与弱左Engle元之间的关系给出了幂零群的一些充分条件. 展开更多
关键词 S-半正规 付正规 幂零群 弱左engle元
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