Multiplicative Invariants and Semigroup Algebras

Let G be a finite group acting by automorphism on a lattice A, and hence on the group algebra S=k[A]. The algebra of G-invariants in S is called an algebra of multiplicative invariants. We present an explicit version of a result of Farkas stating that multiplicative invariants of finite reflection groups are semigroup algebras.     

Finding the Minimal Root of an Equation with the Multiextremal and Nondifferentiable Left-Hand Part

A problem very often arising in applications is presented: finding the minimal root of an equation with the objective function being multiextremal and nondifferentiable. Applications from the field of electronic measurements are given. Three methods based on global optimization ideas are introduced for solving this problem. The first one uses an a priori estimate of the global Lipschitz constant. The second method adaptively estimates the global Lipschitz constant. The third algorithm adaptively estimates local Lipschitz constants during the search. All the methods either find the minimal root or determine the global minimizers (in the case when the equation under consideration has no roots). Sufficient convergence conditions of the new methods to the desired solution are established. Numerical results including wide experiments with test functions, stability study, and a real-life applied problem are also presented.     

当归特征组分的识别与定量对比

 将高效液相色谱模式 /二极管阵列检测与自编紫外光谱库管理软件结合 ,用液相色谱 /紫外光谱以及特征参数研究同种当归多个特征组分的识别及快速定量对比。色谱 /光谱及其特征参数共同表达同种当归 2 3个特征组分 ;探讨定量对比的关键技术 ;定量比较两个同种当归相同组分的浓度差异。多指标表达当归特征组分 ,可用于它们的识别 ;定量手段的建立 ,可对比当归特征组分定量结果的差异性。不用化学对照品 ,便能识别和定量比较当归样品中的多组分。方法简便易行、快速 ,结果的代表性强、重现性良好。     

生物技术培养银杏发根中的黄酮分析研究

本文研究了银杏发根中黄酮含量的高效液相色谱（ＨＰＬＣ）分析方法,改进了样品预处理过程,实行提取、水解同步进行,并与天然银杏树叶中的黄酮进行了对照,分析结果表明,采用生物技术培养的银杏发根中确实含有银杏黄酮。     

Logarithm Versus Square Root： Comparing Quantum Fisher Information

In classical statistics, the Fisher information is unique in the sense that it is essentially the only monotone Riemannian metric on the space of probability densities. In quantum theory, this uniqueness breaks down, and there are many natural quantum analogues of the Fisher information, among which two particular versions distinguish themselves by their intuitive and informational significance： The first has its origin in the skew information introduced by Wigner and Yanase in 1963 in the context of quantum measurement, and is defined via the square root of the density operator. The second arises from Helstrom＇s study of quantum detection in 1967, and is defined via the symmetric logarithmic derivative. The aim of this paper Js to compare these two versions of quantum Fisher information, and to establish two informational inequalities relating them.     

生晒参、全须生晒参中19种有机氯残留农药的毛细管气相色谱测定

建立了生晒参、全须生晒参中19种有机氯农药残留的毛细管气相色谱分析方法。对样品中六六六的4种异构体、滴滴涕的5种异构体、四氯苯胺、六氯苯、五氯硝基苯、七氯、五氯苯胺、艾氏剂、百菌清、环氧七氯、狄氏剂及异狄氏剂共19种有机氯农药的残留量进行了测定。以石油醚-丙酮混合物作为提取剂,样品采用索氏提取,提取液用弗罗里硅土柱层析净化。采用OV-1701石英毛细管气相色谱柱分离样品,ECD检测器进行检测。在3个水平添加时的回收率(n=5)分别为75.7%~96.1%、78.8%~111.6%和81.7%~115·2%;相对标准偏差分别为2.4%~10.6%、2.1%~9.8%和1.4~10.0%。方法用于生晒参和全须生晒参样品中农药残留的测定,结果满意。     

Antioxidants and Bioactive Compounds in Licorice Root Extract Potentially Contribute to Improving Growth,Bulb Quality and Yield of Onion (Allium cepa)

The increasing culinary use of onion (Alium cepa) raises pressure on the current production rate, demanding sustainable approaches for increasing its productivity worldwide. Here, we aimed to investigate the beneficial effects of licorice (Glycyrrhiza glabra) root extract (LRE) in improving growth, yield, nutritional status, and antioxidant properties of two high-yielding onion cultivars, Shandaweel and Giza 20, growing under field conditions in two consecutive years. Our results revealed that pretreatments of both onion cultivars with LRE exhibited improved growth indices (plant height and number of leaves) and yield-related features (bulb length, bulb diameter, and bulb weight) in comparison with the corresponding LRE-devoid control plants. Pretreatments with LRE also improved the nutritional and antioxidant properties of bulbs of both cultivars, which was linked to improved mineral (e.g., K⁺ and Ca²⁺) acquisition, and heightened activities of enzymatic antioxidants (e.g., superoxide dismutase, catalase, ascorbate peroxidase, glutathione peroxidase, and glutathione S-transferase) and increased levels of non-enzymatic antioxidants (e.g., ascorbic acid, reduced glutathione, phenolics, and flavonoids). LRE also elevated the contents of proline, total free amino acids, total soluble carbohydrates, and water-soluble proteins in both onion bulbs. In general, both cultivars displayed positive responses to LRE pretreatments; however, the Shandaweel cultivar performed better than the Giza 20 cultivar in terms of yield and, to some extent, bulb quality. Collectively, our findings suggest that the application of LRE as biostimulant might be an effective strategy to enhance bulb quality and ultimately the productivity of onion cultivars under field conditions.     

FTIR结合化学计量学对三七地下部位鉴别及皂苷含量预测

当今中药市场上掺假现象屡见不鲜，不良商贩利用三七须根粉末假冒主根和剪口粉末，严重影响三七的质量与药效。通过傅里叶变换红外光谱(FTIR)结合化学计量学建立三七主根、剪口和须根粉末鉴别及四种皂苷含量快速预测模型，为快速三七质量控制提供基础。采集三七主根、剪口和须根红外光谱，超高效液相色谱(UPLC)测量样品中三七皂苷R₁、人参皂苷Rg₁、人参皂苷Rb₁和人参皂苷Rd含量。采用纵坐标归一化及二阶导数对原始红外光谱进行预处理；Kennard-stone算法将60个样本分为2/3训练集与1/3预测集。训练集数据结合支持向量机(SVM)判别建立三七主根、剪口和须根粉末鉴别模型，最佳核函数c和g采用交叉验证进行网格式搜索，预测集数据用于对判别模型进行外部验证。正交信号校正偏最小二乘回归(OSC-PLSR)建立三七中四种皂苷含量预测模型，红外光谱采用一阶、二阶导数及Savitsky-Golay平滑5点、7点、9点、11点预处理。60个样本分为2/3训练集与1/3预测集，训练集数据建立OSC-PLSR模型，预测集数据对OSC-PLSR模型的预测结果进行外部验证。结果显示： (1)二阶导数可有效的分离原始谱图的叠合隐蔽谱峰，并提高谱图的分辨率；(2)交叉验证网格式搜索计算出最佳核函数c=2.828 43，g=4.882 81×10-4，此时训练集判别正确率为100%；(3)SVM判别模型核函数设置为最佳核函数，预测集数据外部验证正确率为100%，所有样本均被正确鉴别；(4)三七皂苷R₁、人参皂苷Rg₁、人参皂苷Rb₁和人参皂苷Rd最优含量预测模型预测值与UPLC检测值接近，预测效果良好。FTIR结合SVM判别能对三七主根、剪口和须根粉末快速鉴别，结合OSC-PLSR能对四种皂苷含量进行准确预测。该方法准确可靠，可为中药材三七提供快速有效的质量控制。     

基于植物根系仿生的土壤热湿迁移数值模拟

以实验数据为依据,把土壤中的水分含量和水分梯度分布作为影响植物根系生长的环境因子,结合非饱和多孔介质中传热传质的数学模型,对冬小麦的根系生长进行仿生模拟,分析根系吸水对非饱和土壤湿分与热量传递的影响。在相同环境条件下,对裸土和有作物覆盖的土壤床中的热、湿迁移也进行了模拟比较。