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PRiME HLB前处理技术联合超高效液相色谱-三重四极杆质谱系统检测水产品中17种磺胺类药物残留 被引量:2
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作者 余海芬 徐桦 +5 位作者 吴真善 包蔚 朱晓芸 何锴 黄忠 战涛 《现代食品》 2024年第1期213-215,224,共4页
使用通过型固相萃取小柱PRi ME HLB处理水产品样品,建立了一种水产品中17种磺胺类药物的简单、快速的筛选分析方法。水产品样品经80%乙腈水溶液(含0.2%甲酸)提取,过PRi ME HLB固相萃取柱净化,浓缩后经C_(18)色谱柱梯度洗脱分离,超高效... 使用通过型固相萃取小柱PRi ME HLB处理水产品样品,建立了一种水产品中17种磺胺类药物的简单、快速的筛选分析方法。水产品样品经80%乙腈水溶液(含0.2%甲酸)提取,过PRi ME HLB固相萃取柱净化,浓缩后经C_(18)色谱柱梯度洗脱分离,超高效液相色谱-三重四极杆质谱系统进行定量分析。结果表明,17种磺胺类药物在1.0~50.0 ng·mL^(-1)线性关系良好,相关系数R^(2)>0.99;该方法检出限为2μg·kg^(-1);添加浓度为10μg·kg^(-1)时方法回收率在71.3%~118.4%,RSD值均小于20%。 展开更多
关键词 磺胺 水产品 PRiME HLB固相萃取小柱
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引导编辑技术的研究进展及应用 被引量:1
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作者 邱梅玉 张雪梅 +1 位作者 张宁 刘明军 《畜牧兽医学报》 CAS CSCD 北大核心 2024年第4期1345-1355,共11页
以CRISPR/Cas9为基础的引导编辑系统是新开发出的一种基因编辑技术,可以精确实现12种碱基的互换、插入和缺失,并且不需要产生双链断裂和引入外源供体DNA。本文从基因编辑的发展、引导编辑系统的原理、特点、优化、脱靶效应、在动植物和... 以CRISPR/Cas9为基础的引导编辑系统是新开发出的一种基因编辑技术,可以精确实现12种碱基的互换、插入和缺失,并且不需要产生双链断裂和引入外源供体DNA。本文从基因编辑的发展、引导编辑系统的原理、特点、优化、脱靶效应、在动植物和基因治疗研究中的应用、引导编辑系统的设计等几方面进行综述,为促进相关领域的科研工作者了解引导编辑系统及进一步利用引导编辑系统在动植物科学基础研究和育种方面的应用提供指导。 展开更多
关键词 CRISPR/Cas9 引导编辑(prime editing PE) pegRNA 应用研究
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基于虚拟现实的船舶航行复杂周围环境图像三维仿真
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作者 张连慧 《舰船科学技术》 北大核心 2024年第4期166-169,共4页
为提升船舶在复杂航行环境中的安全,提出基于虚拟现实的船舶航行复杂周围环境图像三维仿真方法。该方法使用虚拟现实技术中的Vega Prime虚拟现实开发工具,依据海洋、船舶相关数据与图像,使用Crertor工具建立flt静态三维模型库,从该模型... 为提升船舶在复杂航行环境中的安全,提出基于虚拟现实的船舶航行复杂周围环境图像三维仿真方法。该方法使用虚拟现实技术中的Vega Prime虚拟现实开发工具,依据海洋、船舶相关数据与图像,使用Crertor工具建立flt静态三维模型库,从该模型库内导出船舶三维模型所需数据后,使用Vega Prime虚拟现实开发工具的LynXPrime图形界面,对船舶航行复杂周围环境的水体、海浪等进行建模并进行纹理制作后,再通过实时驱动、视景仿真驱动以及仿真交互程序运行,实现船舶航行复杂周围环境图像三维仿真模型的交互。实验结果表明,该方法可有效对船舶航行复杂周围环境的洋流流向、流速、海水温度进行三维仿真。同时也可对船舶航行环境内其他船舶进行红外视景可视化,且应用效果较佳。 展开更多
关键词 虚拟现实 船舶航行 环境图像 三维仿真 Vega Prime
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Development and Therapeutic Applications of Precise Gene Editing Technology
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作者 ZHANG Yi-Meng YANG Xiao +1 位作者 WANG Jian LI Zhen-Hua 《生物化学与生物物理进展》 SCIE CAS CSCD 北大核心 2024年第10期2637-2647,共11页
The advent of gene editing represents one of the most transformative breakthroughs in life science,making genome manipulation more accessible than ever before.While traditional CRISPR/Cas-based gene editing,which invo... The advent of gene editing represents one of the most transformative breakthroughs in life science,making genome manipulation more accessible than ever before.While traditional CRISPR/Cas-based gene editing,which involves double-strand DNA breaks(DSBs),excels at gene disruption,it is less effective for accurate gene modification.The limitation arises because DSBs are primarily repaired via non-homologous end joining(NHEJ),which tends to introduce indels at the break site.While homology directed repair(HDR)can achieve precise editing when a donor DNA template is provided,the reliance on DSBs often results in unintended genome damage.HDR is restricted to specific cell cycle phases,limiting its application.Currently,gene editing has evolved to unprecedented levels of precision without relying on DSB and HDR.The development of innovative systems,such as base editing,prime editing,and CRISPR-associated transposases(CASTs),now allow for precise editing ranging from single nucleotides to large DNA fragments.Base editors(BEs)enable the direct conversion of one nucleotide to another,and prime editors(PEs)further expand gene editing capabilities by allowing for the insertion,deletion,or alteration of small DNA fragments.The CAST system,a recent innovation,allows for the precise insertion of large DNA fragments at specific genomic locations.In recent years,the optimization of these precise gene editing tools has led to significant improvements in editing efficiency,specificity,and versatility,with advancements such as the creation of base editors for nucleotide transversions,enhanced prime editing systems for more efficient and precise modifications,and refined CAST systems for targeted large DNA insertions,expanding the range of applications for these tools.Concurrently,these advances are complemented by significant improvements in in vivo delivery methods,which have paved the way for therapeutic application of precise gene editing tools.Effective delivery systems are critical for the success of gene therapies,and recent developments in both viral and non-viral vectors have improved the efficiency and safety of gene editing.For instance,adeno-associated viruses(AAVs)are widely used due to their high transfection efficiency and low immunogenicity,though challenges such as limited cargo capacity and potential for immune responses remain.Non-viral delivery systems,including lipid nanoparticles(LNPs),offer an alternative with lower immunogenicity and higher payload capacity,although their transfection efficiency can be lower.The therapeutic potential of these precise gene editing technologies is vast,particularly in treating genetic disorders.Preclinical studies have demonstrated the effectiveness of base editing in correcting genetic mutations responsible for diseases such as cardiomyopathy,liver disease,and hereditary hearing loss.These technologies promise to treat symptoms and potentially cure the underlying genetic causes of these conditions.Meanwhile,challenges remain,such as optimizing the safety and specificity of gene editing tools,improving delivery systems,and overcoming off-target effects,all of which are critical for their successful application in clinical settings.In summary,the continuous evolution of precise gene editing technologies,combined with advancements in delivery systems,is driving the field toward new therapeutic applications that can potentially transform the treatment of genetic disorders by targeting their root causes. 展开更多
关键词 precise gene editing CRISPR/Cas system base editing prime editing gene therapy
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Relationship between Seed Priming Mediated Seedling Vigor and Yield Performance of Spring Wheat
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作者 Md.Parvez Anwar Masuma Akhter +5 位作者 Sharmin Aktar Sinthia Afsana Kheya A.K.M.Mominul Islam Sabina Yeasmin Ahmed Khairul Hasan Md.Harun Or Rashid 《Phyton-International Journal of Experimental Botany》 SCIE 2024年第6期1159-1177,共19页
Seed priming is a pre-germinated technique that can enhance seed germination percentage,faster and synchro-nized germination,better seedling growth,and yield under stress conditions.To ascertain the most effective see... Seed priming is a pre-germinated technique that can enhance seed germination percentage,faster and synchro-nized germination,better seedling growth,and yield under stress conditions.To ascertain the most effective seed priming method that would ensure the potential yield of wheat in Bangladesh,two experiments were carried out from December 2021 to March 2022 at the Department of Agronomy,Bangladesh Agricultural University.Two wheat varieties namely BARI Gom-28 and BWMRI Gom-1 were subjected to a range of priming chemicals in both lab and pot tests.These compounds included the following:control(no priming),hydropriming(distilled water),10000 ppm KNO_(3),15000 ppm KNO_(3),40000 ppm Mannitol,60000 ppm Mannitol,10000 ppm NaCl,20000 ppm NaCl,100 ppm PEG,150 ppm PEG,500 ppm NaOCl,1000 ppm NaOCl,10000 ppm CaCl_(2),20000 ppm CaCl_(2),10000 ppm KCl and 20000 ppm KCl.A complete randomized design(CRD)with three repli-cations was used to set up the experiments.The results showed that BARI Gom-28 and BWMRI Gom-1 responded best to KCl priming in terms of rapid seed germination and strong seedling development.On the other hand,the best priming agents for plant growth and productivity turned out to be CaCl_(2) and KCL.The results of this study support the possibility of using seed priming as a technique to improve wheat plant development and output by raising seed emergence and survival rates. 展开更多
关键词 PRIMING seedling percentage GERMINATION growth YIELD WHEAT
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不同功能成分底涂剂对氧化锆耐久粘接强度的影响
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作者 赵莉 赵克 《口腔疾病防治》 2024年第7期502-508,共7页
目的比较含10-甲基丙烯酰氧癸基磷酸酯(10-metracryloyloxdecyl dyhidrogen phosphate,10-MDP)和硅烷的混合型底涂剂与MDP单一功能成分型底涂剂对氧化锆初期及耐久粘接强度的影响。方法制作氧化锆标准试件84个,随机分成4组(n=21),分别... 目的比较含10-甲基丙烯酰氧癸基磷酸酯(10-metracryloyloxdecyl dyhidrogen phosphate,10-MDP)和硅烷的混合型底涂剂与MDP单一功能成分型底涂剂对氧化锆初期及耐久粘接强度的影响。方法制作氧化锆标准试件84个,随机分成4组(n=21),分别使用含10-MDP的Z-Prime Plus(ZP)、含硅烷偶联剂的Monobond-S(MS)、含MDP和硅烷偶联剂的混合型底涂剂Clearfil Ceramic Primer(CCP)、及不使用底涂剂(空白)处理试件表面,再用不含MDP的Duo-Link(DUO)树脂水门汀与氧化锆粘接,形成ZP、MS、CCP及空白对照组共4组粘接试件。每组粘接试件再随机分为3个亚组(n=7),分别进行3个时间点的老化实验,包括37℃恒温水浴24 h、30 d、30 d加3000个5~55℃冷热循环(30 d/TC)。用计算机控制万能材料实验机测定剪切粘接强度值,扫描电镜(scanning electron microscope,SEM)观察并分析断裂试样的粘接界面破坏模式,2-way ANOVA进行统计分析。结果ZP、MS、CCP三组在3个时间点获得的粘接强度值均显著高于空白对照(P<0.01);从24 h到30 d,三组粘接强度值均显著增高(P<0.05);从30 d到30 d/TC,三组粘接强度值均显著下降(P<0.01),并降至基线(24 h)以下水平(30 d/TC vs.24 h,P<0.01)。混合型底涂剂CCP在所有时间点的粘接强度值均高于单一功能成分型底涂剂ZP、MS(P<0.01)。在单一功能成分底涂剂中,ZP在30 d时的粘接强度高于MS(P=0.029),在30 d/TC时却低于MS(P=0.037)。从30 d到30 d/TC,ZP的粘接强度衰减百分率明显高于MS(82.43%vs.64.90%)。结论含MDP和硅烷的混合型底涂剂与氧化锆陶瓷的粘接强度优于单一功能成分型底涂剂。 展开更多
关键词 氧化锆 陶瓷 粘接 底涂剂 Z‐Prime plus Clearfil Ceramic Primer 冷热循环老化
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Use of priming strategies to advance the clinical application of mesenchymal stromal/stem cell-based therapy
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作者 Vitale Miceli 《World Journal of Stem Cells》 SCIE 2024年第1期7-18,共12页
Mesenchymal stromal/stem cells(MSCs)have garnered significant attention in the field of regenerative medicine due to their remarkable therapeutic potential.MSCs play a pivotal role in maintaining tissue homeostasis an... Mesenchymal stromal/stem cells(MSCs)have garnered significant attention in the field of regenerative medicine due to their remarkable therapeutic potential.MSCs play a pivotal role in maintaining tissue homeostasis and possess diverse functions in tissue repair and recovery in various organs.These cells are charac-terized by easy accessibility,few ethical concerns,and adaptability to in vitro cultures,making them a valuable resource for cell therapy in several clinical conditions.Over the years,it has been shown that the true therapeutic power of MSCs lies not in cell engraftment and replacement but in their ability to produce critical paracrine factors,including cytokines,growth factors,and exosomes(EXOs),which modulate the tissue microenvironment and facilitate repair and regeneration processes.Consequently,MSC-derived products,such as condi-tioned media and EXOs,are now being extensively evaluated for their potential medical applications,offering advantages over the long-term use of whole MSCs.However,the efficacy of MSC-based treatments varies in clinical trials due to both intrinsic differences resulting from the choice of diverse cell sources and non-standardized production methods.To address these concerns and to enhance MSC therapeutic potential,researchers have explored many priming strategies,including exposure to inflammatory molecules,hypoxic conditions,and three-dimensional culture techniques.These approaches have optimized MSC secretion of functional factors,empowering them with enhanced immunomodulatory,angiogenic,and regenerative properties tailored to specific medical conditions.In fact,various priming strategies show promise in the treatment of numerous diseases,from immune-related disorders to acute injuries and cancer.Currently,in order to exploit the full therapeutic potential of MSC therapy,the most important challenge is to optimize the modulation of MSCs to obtain adapted cell therapy for specific clinical disorders.In other words,to unlock the complete potential of MSCs in regenerative medicine,it is crucial to identify the most suitable tissue source and develop in vitro manipulation protocols specific to the type of disease being treated. 展开更多
关键词 Mesenchymal stromal/stem cells Therapeutic properties Paracrine effects Cell priming Cell-free therapies Regenerative medicine
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UPLC-MS/MS测定特殊医学用途配方乳粉中姜黄素类化合物
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作者 公丕学 戴琨 +6 位作者 薛霞 徐大玮 赵寅 王骏 胡梅 张喜琦 刘艳明 《中国乳品工业》 CAS 北大核心 2024年第1期59-64,共6页
建立基于通过式固相萃取净化检测特殊医学用途配方乳粉中姜黄素的超高效液相色谱串联质谱检测方法。样品经80%乙腈提取,通过Oasis PRiME HLB固相萃取柱净化后,以乙腈-0.1%甲酸溶液作为流动相,在acquity UPLC HSS T_(3)色谱柱上进行梯度... 建立基于通过式固相萃取净化检测特殊医学用途配方乳粉中姜黄素的超高效液相色谱串联质谱检测方法。样品经80%乙腈提取,通过Oasis PRiME HLB固相萃取柱净化后,以乙腈-0.1%甲酸溶液作为流动相,在acquity UPLC HSS T_(3)色谱柱上进行梯度洗脱,经超高效液相色谱仪进行分离后,通过电喷雾正离子模式电离,多反应监测模式进行检测分析,外标法定量。对目标物进行稳定性研究,对样品中目标物提取、净化方式、色谱分离条件、质谱条件等关键因素进行了优化。结果表明,3种姜黄素类化合物在25~2 500 ng/mL范围内线性关系好,相关系数高于0.99,加标回收率在87.9%~102.8%之间,精密度在1.31%~4.94%之间,3种姜黄素类化合物的检出限为10μg/kg,定量限为25μg/kg。该方法定性定量结果准确、稳定性好、灵敏度高,能够对特殊医学用途配方乳粉中姜黄素类化合物进行定性分析与定量检测。 展开更多
关键词 姜黄素类化合物 Oasis PRiME HLB 特殊医学用途配方乳粉 液相色谱串联质谱法
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Origin of Sexy Prime Numbers, Origin of Cousin Prime Numbers, Equations from Supposedly Prime Numbers, Origin of the Mersenne Number, Origin of the Fermat Number
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作者 Mady Ndiaye 《Advances in Pure Mathematics》 2024年第5期321-332,共12页
We have found through calculations that the differences between the closest supposed prime numbers other than 2 and 3 defined in the articles are: 2;4: and 6. For those whose difference is equal to 6, we showed their ... We have found through calculations that the differences between the closest supposed prime numbers other than 2 and 3 defined in the articles are: 2;4: and 6. For those whose difference is equal to 6, we showed their origin then we classified them into two categories according to their classes, we showed in which context two prime numbers which differ from 6 are called sexy and in what context they are said real sexy prime. For those whose difference is equal to 4, we showed their origin then we showed that two prime numbers which differ from 4, that is to say two cousin prime numbers, are successive. We made an observation on the supposed prime numbers then we established two pairs of equations from this observation and deduced the origin of the Mersenne number and that of the Fermat number. 展开更多
关键词 Cousin Prime Numbers Sexy Prime Numbers Real Sexy Prime Numbers Equations from Supposed Prime Numbers Mersenne Number Fermat Number Supposed Prime Numbers Prime Numbers
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Representation of an Integer by a Quadratic Form through the Cornacchia Algorithm
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作者 Moumouni Djassibo Woba 《Applied Mathematics》 2024年第9期614-629,共16页
Cornachia’s algorithm can be adapted to the case of the equation x2+dy2=nand even to the case of ax2+bxy+cy2=n. For the sake of completeness, we have given modalities without proofs (the proof in the case of the equa... Cornachia’s algorithm can be adapted to the case of the equation x2+dy2=nand even to the case of ax2+bxy+cy2=n. For the sake of completeness, we have given modalities without proofs (the proof in the case of the equation x2+y2=n). Starting from a quadratic form with two variables f(x,y)=ax2+bxy+cy2and n an integer. We have shown that a primitive positive solution (u,v)of the equation f(x,y)=nis admissible if it is obtained in the following way: we take α modulo n such that f(α,1)≡0modn, u is the first of the remainders of Euclid’s algorithm associated with n and α that is less than 4cn/| D |) (possibly α itself) and the equation f(x,y)=n. has an integer solution u in y. At the end of our work, it also appears that the Cornacchia algorithm is good for the form n=ax2+bxy+cy2if all the primitive positive integer solutions of the equation f(x,y)=nare admissible, i.e. computable by the algorithmic process. 展开更多
关键词 Quadratic Form Cornacchia Algorithm Associated Polynomials Euclid’s Algorithm Prime Number
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How Prime Numbers Are Interconnected and Built with Two Equations: Addition and Subtraction Rules the Function (6µ)
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作者 John Richard Wisdom 《Advances in Pure Mathematics》 2024年第4期228-241,共14页
Are all prime numbers linked by four simple functions? Can we predict when a prime will appear in a sequence of primes? If we classify primes into two groups, Group 1 for all primes that appear before ζ (such that , ... Are all prime numbers linked by four simple functions? Can we predict when a prime will appear in a sequence of primes? If we classify primes into two groups, Group 1 for all primes that appear before ζ (such that , for instance 5, ), an even number divisible by 3 and 2, and Group 2 for all primes that are after ζ (such that , for instance 7), then we find a simple function: for each prime in each group, , where n is any natural number. If we start a sequence of primes with 5 for Group 1 and 7 for Group 2, we can attribute a μ value for each prime. The μ value can be attributed to every prime greater than 7. Thus for Group 1, and . Using this formula, all the primes appear for , where μ is any natural number. 展开更多
关键词 Number Theory Prime Number Groups Twin Primes Prime Structure and Sequence Prime Subtraction and Addition
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Preliminary Identification of a Prime Number Other Than 2 and 3, the Origin of Twin Prime Numbers, the Structure of the Chain of Prime Numbers and the Set of Prime Numbers Less Than a Given Integer
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作者 Mady Ndiaye 《Advances in Pure Mathematics》 2024年第1期30-48,共19页
The application of the Euclidean division theorem for the positive integers allowed us to establish a set which contains all the prime numbers and this set we called it set of supposedly prime numbers and we noted it ... The application of the Euclidean division theorem for the positive integers allowed us to establish a set which contains all the prime numbers and this set we called it set of supposedly prime numbers and we noted it E<sub>sp</sub>. We subsequently established from the previous set the set of non-prime numbers (the set of numbers belonging to this set and which are not prime) denoted E<sub>np</sub>. We then extracted from the set of supposedly prime numbers the numbers which are not prime and the set of remaining number constitutes the set of prime numbers denoted E<sub>p</sub>. We have deduced from the previous set, the set of prime numbers between two natural numbers. We have explained during our demonstrations the origin of the twin prime numbers and the structure of the chain of prime numbers. 展开更多
关键词 Supposedly Prime Numbers Non-Prime Numbers Prime Numbers Prime Numbers Less Than a Given Integer Prime Numbers between Two Given Integers
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PRiME HLB固相萃取结合UPLC-QTOF-MS测定烟液与烟丝中的依托咪酯
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作者 王华 罗达龙 +5 位作者 覃蓝 莫惠欣 李媛捷 何姗珊 杨梓莹 刘虹虹 《分析仪器》 CAS 2024年第5期25-30,共6页
待测样品经乙腈提取后,使用PRi ME HLB固相萃取柱对样品提取液进行净化,经ACE EXCEL C18(2.1mm×50mm,2μm)色谱柱分离,以甲醇-5mmol·L^(-1)甲酸铵水溶液(含0.1%甲酸)作为流动相,梯度洗脱,采用电喷雾离子源正模式(ESI+),目标... 待测样品经乙腈提取后,使用PRi ME HLB固相萃取柱对样品提取液进行净化,经ACE EXCEL C18(2.1mm×50mm,2μm)色谱柱分离,以甲醇-5mmol·L^(-1)甲酸铵水溶液(含0.1%甲酸)作为流动相,梯度洗脱,采用电喷雾离子源正模式(ESI+),目标物二级离子模式(Targeted MS/MS)进行质谱分析。依托咪酯在2ng·m L^(-1)~200ng·m L^(-1)浓度范围内线性关系良好,相关系数r为0.999,在0.2μg·g^(-1),1.0μg·g^(-1),5.0μg·g^(-1)3个水平的加标回收率为86.6%~94.6%,RSD为3.1%~4.3%(n=9)。本方法具有操作简易快速、定性定量准确等特点。 展开更多
关键词 依托咪酯 四极杆飞行时间质谱 电子烟 PRiME HLB固相萃取
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Different Approaches to Reduce Salinity in Salt-Affected Soils and Enhancing Salt Stress Tolerance in Plants
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作者 Amra Bratovcic 《Agricultural Sciences》 2024年第8期830-847,共18页
Salt stress is one of the most harmful environmental stresses in recent times and represents a significant threat to food security. Soil salinization is caused by spontaneous natural processes of mineral dissolution a... Salt stress is one of the most harmful environmental stresses in recent times and represents a significant threat to food security. Soil salinization is caused by spontaneous natural processes of mineral dissolution and human activities such as inappropriate irrigation practices. Natural geological progressions like weathering of rocks, arid climate, and higher evaporation, as well as anthropogenic activities, including the use of brackish water for irrigation, and poor tillage operations, are the foremost causes of soil salinization. Typical characteristics of saline soils are salt stress, high pH, and lack of organic carbon, as well as low availability of nutrients. Disruption of precipitation patterns as well as high average annual temperatures due to climate change additionally negatively affects the process of soil salinization. Productivity and ability to support crop growth are reduced on saline soil. Salinity-induced stress reduces plant growth by modulating the antioxidative system and nutrient orchestration. The aim of this work is to show that the mentioned problems can be alleviated in several ways such as the addition of biochar, exogenous application of several elicitors, seed priming, etc. Research has shown that the addition of biochar can significantly improve the recovery of saline soil. The addition of biochar has no significant effect on soil pH, while the cation exchange capacity of the soil increased by 17%, and the electrical conductivity of the saturated paste extract decreased by 13.2% (depends on the initial salinity and the type of biochar raw material). Moreover, biochar enriched with silicon increases the resistance of bananas to salt stress. In addition, exogenous application of several elicitors helps plants to alleviate stress by inducing stress-related physicochemical and molecular changes (selenium, sulfur, silicon, salicylic acid). Finally, seed priming showed positive effects on metabolomics, proteomics and growth of plants subjected to abiotic stress. Priming usually involves immersing the seed in a solution for a period of time to induce physiological and metabolic progression prior to germination. 展开更多
关键词 Salt-Affected Soils Salt Stress BIOCHAR ELICITORS Seed Priming
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The Periodic Table of Primes
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作者 Han-Lin Li Shu-Cherng Fang Way Kuo 《Advances in Pure Mathematics》 2024年第5期394-419,共26页
Over millennia, nobody has been able to predict where prime numbers sprout or how they spread. This study establishes the Periodic Table of Primes (PTP) using four prime numbers 2, 3, 5, and 7. We identify 48 integers... Over millennia, nobody has been able to predict where prime numbers sprout or how they spread. This study establishes the Periodic Table of Primes (PTP) using four prime numbers 2, 3, 5, and 7. We identify 48 integers out of a period 2×3×5×7=210 to be the roots of all primes as well as composites without factors of 2, 3, 5, and 7. Each prime, twin primes, or composite without factors of 2, 3, 5, and 7 is an offspring of the 48 integers uniquely allocated on the PTP. Three major establishments made in the article are the Formula of Primes, the Periodic Table of Primes, and the Counting Functions of Primes and Twin Primes. 展开更多
关键词 PRIMES COMPOSITES the Periodic Table of Primes
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On Perron’s Formula and the Prime Numbers
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作者 Michael M. Anthony 《Advances in Pure Mathematics》 2024年第6期487-494,共8页
The Riemann hypothesis is intimately connected to the counting functions for the primes. In particular, Perron’s explicit formula relates the prime counting function to fixed points of iterations of the explicit form... The Riemann hypothesis is intimately connected to the counting functions for the primes. In particular, Perron’s explicit formula relates the prime counting function to fixed points of iterations of the explicit formula with particular relations involving the trivial and non-trivial roots of the Riemann Zeta function and the Primes. The aim of the paper is to demonstrate this relation at the fixed points of iterations of explicit formula, defined by functions of the form limT∈Ν→∞fT(zw)=zw,where, zwis a real number. 展开更多
关键词 Perron Fixed Points ITERATIONS Number Theory Riemann Hypothesis ITERATIONS INVARIANCE PRIMES
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On the Number of Primes in the Interval (x, 2x) by an Elementary Method
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作者 Sudhindra B. Kittur 《Advances in Pure Mathematics》 2024年第1期16-29,共14页
An elementary formula to know the number of primes in the interval (x, 2x) close to the exact figure for a fixed x is given here. A new elementary equation is derived (a relation between prime numbers and composite nu... An elementary formula to know the number of primes in the interval (x, 2x) close to the exact figure for a fixed x is given here. A new elementary equation is derived (a relation between prime numbers and composite numbers distributed in the interval [1, 2x]). An elementary method to know the number of primes in a given magnitude is suitably placed in the form of a general formula, and we have proved it. The general formula is applied to the terms of the equation, and a tactical simplification of the terms gives rise to an expression whose verification envisages scope for its further studies. 展开更多
关键词 Prime Numbers Composite Numbers EXPRESSION INTEGERS
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Primetime Fashion Beijing hosts China Fashion Week A/W 2024
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作者 Liu Chuihang 《China Report ASEAN》 2024年第5期56-57,共2页
The China Fashion Week A/W 2024,hosted by the China Fashion Designers Association,took place in Beijing from March 23 to 31.Themed“Fu”(Empower),this season’s fashion week continued to focus on Chinese aesthetics,in... The China Fashion Week A/W 2024,hosted by the China Fashion Designers Association,took place in Beijing from March 23 to 31.Themed“Fu”(Empower),this season’s fashion week continued to focus on Chinese aesthetics,innovation in intangible cultural heritage,fusion of Chinese trends. 展开更多
关键词 continued PRIME HERITAGE
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Small Modular Solutions to Fermat’s Last Theorem
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作者 Thomas Beatty 《Advances in Pure Mathematics》 2024年第10期797-805,共9页
The proof by Andrew Wiles of Fermat’s Last Theorem in 1995 resolved the existence question for non-trivial solutions in integers x,y,zto the equation xn+yn=znfor n>2. There are none. Surprisingly, there are infini... The proof by Andrew Wiles of Fermat’s Last Theorem in 1995 resolved the existence question for non-trivial solutions in integers x,y,zto the equation xn+yn=znfor n>2. There are none. Surprisingly, there are infinitely many solutions if the problem is recast in terms of modular arithmetic. Over a hundred years ago Issai Schur was able to show that for any n there is always a sufficiently large prime p0such that for all primes p≥p0the congruence xn+yn≡zn(modp)has a non-trivial solution. Schur’s argument wasnon-constructive, and there is no systematic method available at present to construct specific examples for small primes. We offer a simple method for constructing all possible solutions to a large class of congruences of this type. 展开更多
关键词 Fermat’s Last Theorem Modular Arithmetic CONGRUENCES Prime Numbers Primitive Roots Indices Ramsey Theory Schur’s Lemma in Ramsey Theory
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PRiME HLB固相萃取-超高效液相色谱-串联质谱法测定水产品中的孔雀石绿含量
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作者 欧柏尧 宋海霞 +1 位作者 梁莹 赵天珍 《安徽化工》 CAS 2024年第4期146-149,共4页
目的:建立了水产品中显色孔雀石绿(MG)及隐色孔雀石绿(LMG)残留量的超高效液相色谱-串联质谱测定方法。方法:样品用1.5%甲酸乙腈提取,离心,提取液经过PRiME HLB通过式固相萃取柱净化,氮吹后复溶,UPLC-MS/MS测定,同位素内标法定量。结果... 目的:建立了水产品中显色孔雀石绿(MG)及隐色孔雀石绿(LMG)残留量的超高效液相色谱-串联质谱测定方法。方法:样品用1.5%甲酸乙腈提取,离心,提取液经过PRiME HLB通过式固相萃取柱净化,氮吹后复溶,UPLC-MS/MS测定,同位素内标法定量。结果:在浓度为0.5~10.0μg/L范围内线性关系均良好,相关系数均大于0.995,检测限为0.008~0.01μg/kg,定量限为0.02~0.04μg/kg,加标回收率为86.8%~110.5%,相对标准偏差为1.6%~5.8%。结论:该方法高效快捷、准确可靠,能够满足大批量水产品中孔雀石绿及隐色孔雀石绿的检测。 展开更多
关键词 孔雀石绿 水产品 PRiME HLB 超高效液相色谱-串联质谱
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