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1.
本文考虑一类离散型随机$R_0$张量互补问题,利用Fischer-Burmeister函数将问题转化为约束优化问题,并用投影Levenberg-Marquardt方法对其进行了求解。在一般的条件下得到了该方法的全局收敛性,相关的数值实验表明了该方法的有效性。  相似文献   
2.
王凤琼 《大学数学》2021,37(2):64-68
对一类函数的无穷积分余项与该函数的比值得到当x趋于无穷大时的收敛阶,这类函数是幂函数与指数函数的乘积函数,并将其应用到Mittag-Leffler函数.同时考虑了对应的级数情形.  相似文献   
3.
The row iterative method is popular in solving the large‐scale ill‐posed problems due to its simplicity and efficiency. In this work we consider the randomized row iterative (RRI) method to tackle this issue. First, we present the semiconvergence analysis of RRI method for the overdetermined and inconsistent system, and derive upper bounds for the noise error propagation in the iteration vectors. To achieve a least squares solution, we then propose an extended version of the RRI (ERRI) method, which in fact can converge in expectation to the solution of the overdetermined or underdetermined, consistent or inconsistent systems. Finally, some numerical examples are given to demonstrate the convergence behaviors of the RRI and ERRI methods for these types of linear system.  相似文献   
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5.
谱体积方法是一种本质上解决网格依赖性的高精度CFD计算方法,本文研究了二维Euler方程的谱体积方法,提出一种基于切比雪夫多项式的单元分割方法,建立了基于WENO的变量限制器方法,并发展了结合谱体积和控制体的问题单元标记方法.采用15°超声速压缩拐角和NACA0012跨声速流动两个典型算例进行验证,结果表明,该分区方法具有更好的计算精度,标记方法可有效识别不连续区域,在较少的网格下即可获得与密网格传统有限体积法相当的计算精度.  相似文献   
6.
Given a graph sequence denote by T3(Gn) the number of monochromatic triangles in a uniformly random coloring of the vertices of Gn with colors. In this paper we prove a central limit theorem (CLT) for T3(Gn) with explicit error rates, using a quantitative version of the martingale CLT. We then relate this error term to the well-known fourth-moment phenomenon, which, interestingly, holds only when the number of colors satisfies . We also show that the convergence of the fourth moment is necessary to obtain a Gaussian limit for any , which, together with the above result, implies that the fourth-moment condition characterizes the limiting normal distribution of T3(Gn), whenever . Finally, to illustrate the promise of our approach, we include an alternative proof of the CLT for the number of monochromatic edges, which provides quantitative rates for the results obtained in [7].  相似文献   
7.
研究了一类特殊情形m=1的重心权Hermite有理插值,证明了该插值函数的二阶导数r1?x在插值节点和非插值节点处分别以Oh2d-1Oh2d-3的速度收敛于函数f?x。数值例子进一步验证了方法的有效性。  相似文献   
8.
The present article deals with the synthesis of novel nano-sized fluorinated thiazoles and studying their anticancer potentiality. The targeted azoles could be accessed via trifluoro-methylated thiosemicarbazone (3) prepared by reaction of with thiosemicarbazide in acidic solution of ethanol. The latter a fluorinated building block (3) have been reacted with appropriate derivatives of a-halo compounds namely, N-aryl 2-oxopropane-hydrazonoyl chlorides 4a-f using dioxane containing TEA as base catalyst. Also, the reaction between N-(4-(1-(2-carbamothioylhydrazineylidene)ethyl)phenyl)-2,2,2-trifluoroacetamide (3) and chloroacetonitrile 8 under the same experimental conditions furnished the corresponding amino thiazole derivative 11. In the same manner the base catalyzed cyclocondensation reaction between N-(4-(1-(2-carbamothioylhydrazineylidene)ethyl)phenyl)-2,2,2-trifluoroacetamide (3) and phenacyl bromide derivatives 12a-d afforded the corresponding thiazoles 13a-d in good yield. The structure of all synthesized thiazole derivatives as well as their mechanistic pathways were studied based on spectral data analysis and physical characteristics. The nanosized products were confirmed by using XRD analysis. Moreover, twelve samples were submitted for evaluation of their cytotoxicity activities against MDA-MB-231 (breast cancer cell) using colorimetric MTT assay, in comparison with Cisplatin standard drug. Two nano-sized thiosemicarbazone derivative 3 and the thiazole derivative 7c showed potent activity with IC50 = 7.7 and 2.97 µg/ml, respectively in compared with the IC50 = 4.33 µg/ml of cisplatin. The nanosized thiazole derivative 7c was more potent than cisplatin. Also, two thiazole derivatives 13b and 7b showed good activity with IC50 = 13.4 and 14.9 µg/ml. In addition, the molecular docking studies have been achieved using 4hy0, (X-chromosome-linked- inhibitor of apoptosis protein; (XIAP)).  相似文献   
9.
Mitochondrial dysfunction has been associated with diverse pathological conditions globally. Specifically, in adipose tissues, mitochondrial dysfunction is the primary cause of obesity and obesity-related illnesses. An existing drugs such as atorvastatin and other lipid-lowering drugs demonstrated adverse effects and initiated other diseases. Thus, we need to explore new methods to prevent and treat obesity. In this study, we used the cell screening method to identify several natural compounds that increase adipocyte UCP1 gene expression. The identified drug Curcumin was evaluated in cell models and the In-silico model. We found curcumin is an active compound of turmeric belonging to Zingiberaceae (ginger family), which activates the Nrf2 mechanism. Curcumin potentially endorses the expression of UCP1 in the brown adipocyte in vitro cellular model. Curcumin plays an important role that modulating mitochondrial function and improving mitochondrial DNA quantification, ATP production, and cell viability. We have established an efficient in vitro cell experiment system to study the metabolic regulation of UCP1. The in-silico model revealed curcumin-UCP1 interaction. Curcumin, via enhancing mitochondrial activity, could be a helpful therapeutic molecule against metabolic disorders or obesity-related diseases. Curcumin will be the subject of more research in both human and murine models, which will provide novel therapeutic pathways for the treatment of metabolic illnesses by modulating the control of mitochondrial function.  相似文献   
10.
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