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IntroductionThealkalihalidediatomicmoleculesprovideatypicalcurvecrosingproblem[1].Theoutstandingnonadiabaticbehaviorofthechem... 相似文献
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This study focuses on the development and extension of Multivariate Curve Resolution-Alternating Least Squares (MCR-ALS) to the analysis of four-way datasets. The proposed extension of the MCR-ALS method with non-negativity and the newly developed quadrilinear constraints can be exploited to summarize and manage huge multidimensional datasets and resolve their four way component profiles. In this study, its application is demonstrated by analyzing a four-way data set obtained in a long term environmental monitoring study (15 sampling sites × 9 variables × 12 months × 7 years) belonging to the Yamuna River, one of the most polluted rivers of India and the largest tributary of the Ganges river. MCR-ALS resolved pollution profiles described appropriately the major observed changes on pH, organic pollution, bacteriological pollution and temperature, along with their spatial and temporal distribution patterns for the studied stretch of Yamuna River. Results obtained by MCR-ALS have also been compared with those obtained by another multi-way method, PARAFAC. The methodology used in this study is completely general and it can be applied to other multi-way datasets. 相似文献
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Lavini C de Jonge MC van de Sande MG Tak PP Nederveen AJ Maas M 《Magnetic resonance imaging》2007,25(5):604-612
Dynamic contrast enhanced (DCE) MRI is a widespread method that has found broad application in the imaging of the musculoskeletal (MSK) system. A common way of analyzing DCE MRI images is to look at the shape of the time-intensity curve (TIC) in pixels selected after drawing an ROI in a highly enhanced area. Although often applied to a number of MSK affections, shape analysis has so far not led to a unanimous correlation between these TIC patterns and pathology. We hypothesize that this might be a result of the subjective ROI approach. To overcome the shortcomings of the ROI approach (sampling error and interuser variability, among others), we created a method for a fast and simple classification of DCE MRI where time-curve enhancement shapes are classified pixel by pixel according to their shape. The result of the analysis is rendered in multislice, 2D color-coded images. With this approach, we show not only that differences on a short distance range of the TIC patterns are significant and cannot be appreciated with a conventional ROI analysis but also that the information that shape maps and conventional standard DCE MRI parameter maps convey are substantially different. 相似文献
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莲子蛋白组分二级结构的研究 总被引:2,自引:0,他引:2
对莲子蛋白质进行了Osborne蛋白质分类。采用傅里叶变换红外光谱(FTIR)对清蛋白、球蛋白、醇溶蛋白和谷蛋白进行二级结构分析。应用去卷积和曲线拟合方法对四种蛋白组分的酰胺Ⅰ和Ⅲ带进行分析,清蛋白和球蛋白之间以及醇溶蛋白和谷蛋白之间各相应子峰峰位和二级结构峰面积百分比差异较小,但前两者各相应子峰峰位与后两者略有差异;而前两者各相应二级结构峰面积百分比与后两者有较大差异,特别是前两者的各相应有序结构(α-螺旋+β-折叠)峰面积的百分比明显大于后两者。用0.1 mol.L-1NaCl溶液提取的球蛋白和清蛋白有序结构含量均在55%左右,而醇或碱提的醇溶蛋白和谷蛋白的有序结构含量仅为40%左右,盐提的蛋白质二级结构有序性和稳定性更高。 相似文献
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辐射阻抗是换能器的最重要辐射声场特性参数之一,影响着换能器的谐振频率、频带宽度、效率以及辐射声功率等。经典声学理论用一阶贝塞尔函数和斯特鲁夫函数给出了圆形活塞换能器辐射阻抗的数学表达式,但仅适用于无限大障板条件。该文用ANSYS有限元软件计算了无障板圆形活塞换能器的辐射阻抗,给出了数值解结果,通过与无限大障板条件下的理论结果相比较,显示了二者之间的偏离情况,尤其是在低频时差异显著。为了借助MATLAB工具模拟无障板圆形活塞换能器的辐射阻抗,并给出较准确的数学表达,选择了一系列初等函数以及它们的复合函数进行曲线拟合,最终给出了辐射阻和辐射抗关于ka的函数表达式,在ka值从0.08到20范围内与有限元计算结果很好吻合。 相似文献
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Yerko Torres-Nova 《Journal of Pure and Applied Algebra》2021,225(1):106465
Let be integers. A generalized Fermat curve of type is a compact Riemann surface S that admits a subgroup of conformal automorphisms isomorphic to , such that the quotient surface is biholomorphic to the Riemann sphere and has branch points, each one of order k. There exists a good algebraic model for these objects, which makes them easier to study. Using tools from algebraic topology and integration theory on Riemann surfaces, we find a set of generators for the first homology group of a generalized Fermat curve. Finally, with this information, we find a set of generators for the period lattice of the associated Jacobian variety. 相似文献
8.
Rongrong Zhang Ahmed Yousif Ghazal Yuzhu Liu Yan Zhang Bifeng Tang 《Optics Communications》2009,282(11):2169-6193
The photodissociation dynamics of iodocyclohexane (C6H11I) at 266 and 277 nm has been investigated by ion velocity imaging technique. The velocity distributions, angular distributions and relative quantum yields are obtained for I (2P3/2) (denoted I) and I (2P1/2) (denoted I*) fragments. The energy partitioning shows that about 70% of the available energy goes into the internal excitation of the photofragments for both dissociation channels. From the angular distributions, we found the value of the anisotropy parameter β for I* at the corresponding excitation wavelength was less than that for I. Based on the measured angular distributions and relative quantum yields, the relative fractions of each excited state to the products are determined. The curve crossing probabilities between the 3Q0 and 1Q1 states are determined 0.503 at 266 nm and 0.443 at 277 nm. 相似文献
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种子的萌发是种子生命历程中的主要组成部分之一,了解种子萌发过程中经历的生理生化变化,准确确定种子的活力,对农业生产很重要,因而,研究种子萌发有重要意义。采用傅里叶变换红外光谱结合曲线拟合研究不同萌发程度的水稻种子,以探寻种子贮藏物质动员情况,对不同萌发时间的水稻种子进行傅里叶变换红外光谱、二阶导数光谱、二维相关红外光谱和曲线拟合研究。结果显示,原始红外光谱整体相似,光谱反映出水稻种子的主要贮藏物质为淀粉、蛋白质和脂肪;吸收峰强度比A1 659/A1 019,A1 740/A1 019,A1 157/A1 019,A1 157/A1 081随萌发时间的增加而降低。814~1 000和1 028~1 340 cm-1范围内的二维相关红外光谱结果显示自动峰个数和最强自动峰的位置、强度随种子萌发时间的增加而变化,表明种子在萌发过程中糖类和蛋白质发生变化。二阶导数光谱在1 200~950 cm-1范围内出现七个峰,其中988 cm-1处的峰随萌发时间的增加向较高波数蓝移,而1 053和1 158 cm-1处的峰向较低波数红移,表明水稻种子在萌发过程中多糖的结构和含量可能发生了变化;在1 700~1 600 cm-1范围内出现九个峰,其中1 641和1 692 cm-1处的峰呈现随萌发时间的增加红移到较低波数的趋势,表明水稻种子在萌发过程中蛋白质的结构和含量可能发生了变化;在1 800~1 700 cm-1范围二阶导数光谱仅观察到1 712和1 744 cm-1处的两个峰,其中1 744 cm-1由脂类物质C═O伸缩振动引起,为脂肪的特征峰。为进一步研究水稻种子萌发过程中贮藏物质的具体变化,以二阶导数光谱确定的子峰位置和数目为依据,对原始红外光谱的1 200~950与1 800~1 600 cm-1区域进行曲线拟合分析。曲线拟合结果显示,随萌发时间的增加,多糖和蛋白质的相对含量总体上呈现下降趋势,脂肪的相对含量先降后升。研究表明,傅里叶变换红外光谱结合曲线拟合可作为研究种子萌发的有效手段。 相似文献