Rosemary(Rosmarius officinalis L.), an endemic plant species in south region of China, is traditionally used as a spice. In this research, the anti-inflammatory activities of essential oil and the antibacterial activi...Rosemary(Rosmarius officinalis L.), an endemic plant species in south region of China, is traditionally used as a spice. In this research, the anti-inflammatory activities of essential oil and the antibacterial activities of ethanol extraction were determined, respectively. Results showed that based on the GC-MS analysis there were 35 kinds of active ingredients in the essential oil in totally, mainly including D-limonene(24.158 ml/L), α-Pinene(23.325 ml/L), Camphor(9.855 ml/L),Camphene(7.076 ml/L), Verbenone(6.685 ml/L), Borneol(5.580 ml/L), etc. The LCUV determination indicated that the main components in the ethanol extractionwere rosmarinic acid(3 910 mg/kg) and carnosic acid(2 970 mg/kg). By mice peritoneal macrophage phagocytosis of chicken erythrocytes experiment, the essential oil of rosemary was shown having a significant role in anti-inflammation. And the ethanol extraction had broad-spectrum antibacterial effects, but had no effect on mold by the agar diffusion method of 8 bacteria. As a result, both rosemary essential oil and ethanol extraction had good potential medicinal values.展开更多
Shape optimization of mechanical components is one of the issues that have been considered in recent years. Different methods were presented such as adaptive biological for reducing costs and increasing accuracy. The ...Shape optimization of mechanical components is one of the issues that have been considered in recent years. Different methods were presented such as adaptive biological for reducing costs and increasing accuracy. The effects of step factor, the number of control points and the definition way of control points coordinates in convergence rate were studied. A code was written using ANSYS Parametric Design Language (APDL) which receives the studied parameters as input and obtains the optimum shape for the components. The results show that for achieving successful optimization, step factor should be in a specific range. It is found that the use of any coordinate system in defining control points coordinates and selection of any direction for stimulus vector of algorithm will also result in optimum shape. Furthermore, by increasing the number of control points, some non-uniformities are created in the studied boundary. Achieving acceptable accuracy seems impossible due to the creation of saw form at the studied boundary which is called "saw position".展开更多
The region of Tlemcen is located in the northwestern part of Algeria. Its arid climate leads to the degradation of vegetation in open formation, where can be found the doum, the diss and broom. Other aromatic species ...The region of Tlemcen is located in the northwestern part of Algeria. Its arid climate leads to the degradation of vegetation in open formation, where can be found the doum, the diss and broom. Other aromatic species such as rosemary, thyme, lavender and horehound are considered as well. The four previous aromatic species belong to the family Labiatae for their morphological and botanical characters. The authors propose to design an approach to identify the diversity of malacofauna found on these different Lamiaceae. These are certainly a nutritional source for this malacological fauna. So, a survey was performed in various stations. The malacological richness is estimated to be 19 for thyme, 18 for rosemary, 16 for lavender, and finally 7 for horehound. It includes four families, namely Milacidae, Sphincterochilidae, Helicidae and Subulinidae. Milacidae are present only in horehound and lavender stations. On the other hand, the Sphincterochilidae, namely Sphincterochila candidissima, is absent on horehound. Rumina decollata is the only species in the family Subulinidae. As for the family Helicidae, it is the richest and includes two specific subfamilies: Helicinae and Helicellinae. The first subfamily consists of 11 species of thyme, 10 species of rosemary and lavender. The second subfamily includes 6 species of thyme and rosemary and 3 of lavender, respectively. In addition, the author tries to look for the malacological species specific to each of these plants and those who are common to them as well. Finally, the vertical distribution of gastropods is given.展开更多
In [l], a property of roots of polynomials is considered, which involves the existence of local analytic solutions of polynomial-like functional iterative equations. In this paper we discuss this property and obtain a...In [l], a property of roots of polynomials is considered, which involves the existence of local analytic solutions of polynomial-like functional iterative equations. In this paper we discuss this property and obtain a succinct condition to decide whether this property holds. Our main result is: A polynomialλnzn+''' + λ2z2 + λlz + λ0 of degree n has a root or such that inf{|λnanm +... + λ2a2m + λ1am+ λ0|: m = 2, 3,.. .} > 0 if and only if at least one of the following two conditions holds: (i) the polynomial has a root β satisfying |β| > 1; (ii) the polynomial has a root β satisfying |β| < 1, and λ0≠0展开更多
The necessary condition established in Part I of this paper for the global maximizers of the maximization problem max V tr(VTAV)/tr(VTBV)+tr(VTCV)over the Stiefel manifold{V∈Rm×l |VTV=Il}(l〈m),natural...The necessary condition established in Part I of this paper for the global maximizers of the maximization problem max V tr(VTAV)/tr(VTBV)+tr(VTCV)over the Stiefel manifold{V∈Rm×l |VTV=Il}(l〈m),naturally leads to a self-consistent-field(SCF)iteration for computing a maximizer.In this part,we analyze the global and local convergence of the SCF iteration,and show that the necessary condition for the global maximizers is fulfilled at any convergent point of the sequences of approximations generated by the SCF iteration.This is one of the advantages of the SCF iteration over optimization-based methods.Preliminary numerical tests are reported and show that the SCF iteration is very efficient by comparing with some manifold-based optimization methods.展开更多
A loss model for the mixed-flow pump impellers was developed by summarizing a variety of loss calculation formulas systematically.The internal flow field of the impeller was obtained by employing the iterative calcula...A loss model for the mixed-flow pump impellers was developed by summarizing a variety of loss calculation formulas systematically.The internal flow field of the impeller was obtained by employing the iterative calculation for S 1 and S 2 stream surfaces to solve the continuity and motion equations of fluid.Based on the calculation method of the flow field and the loss model,it is achieved to predict the impeller performance of the mixed-flow pump and the performance curves of a mixed-flow pump model with adjustable blades.Compared with the test data,the loss model of the mixed-flow pump based on the iterative calculation can predict the impeller performance quickly and accurately,which has a high value on the engineering applications.Based on the test verification,curves of various kinds of losses varied for the flow rate were analyzed under different blade angles.In addition,the mechanisms of various kinds of losses inside the mixed-flow pump impeller were discussed in-depth.展开更多
In this paper, we propose and analyze adaptive projected gradient thresholding(APGT) methods for finding sparse solutions of the underdetermined linear systems with equality and box constraints. The general convergenc...In this paper, we propose and analyze adaptive projected gradient thresholding(APGT) methods for finding sparse solutions of the underdetermined linear systems with equality and box constraints. The general convergence will be demonstrated, and in addition, the bound of the number of iterations is established in some special cases. Under suitable assumptions, it is proved that any accumulation point of the sequence generated by the APGT methods is a local minimizer of the underdetermined linear system. Moreover, the APGT methods, under certain conditions, can find all s-sparse solutions for accurate measurement cases and guarantee the stability and robustness for flawed measurement cases. Numerical examples are presented to show the accordance with theoretical results in compressed sensing and verify high out-of-sample performance in index tracking.展开更多
We consider a pseudo-differential system involving different fractional orders. Through an iteration method, we obtain the key ingredients—the maximum principles—of the method of moving planes. Then we derive symmet...We consider a pseudo-differential system involving different fractional orders. Through an iteration method, we obtain the key ingredients—the maximum principles—of the method of moving planes. Then we derive symmetry on non-negative solutions without any decay assumption at infinity.展开更多
This paper is concerned with the existence of traveling wave solutions in a reaction- diffusion predator-prey system with nonlocal delays. By introducing a partially expo- nential quasi-monotonicity condition and a ne...This paper is concerned with the existence of traveling wave solutions in a reaction- diffusion predator-prey system with nonlocal delays. By introducing a partially expo- nential quasi-monotonicity condition and a new cross iteration scheme, we reduce the existence of traveling wave solutions to the existence of a pair of upper-lower solutions. By constructing a desirable pair of upper-lower solutions, we establish the existence of traveling wave solutions. Finally, some numerical examples are carried out to illustrate the theoretical results.展开更多
基金Department of Fermentation Research of Institute of Bio-engineering from Henan University of Technology for providing strains and Key Scientific Research Project of Henan province in China (No.102102310027) for financial support
文摘Rosemary(Rosmarius officinalis L.), an endemic plant species in south region of China, is traditionally used as a spice. In this research, the anti-inflammatory activities of essential oil and the antibacterial activities of ethanol extraction were determined, respectively. Results showed that based on the GC-MS analysis there were 35 kinds of active ingredients in the essential oil in totally, mainly including D-limonene(24.158 ml/L), α-Pinene(23.325 ml/L), Camphor(9.855 ml/L),Camphene(7.076 ml/L), Verbenone(6.685 ml/L), Borneol(5.580 ml/L), etc. The LCUV determination indicated that the main components in the ethanol extractionwere rosmarinic acid(3 910 mg/kg) and carnosic acid(2 970 mg/kg). By mice peritoneal macrophage phagocytosis of chicken erythrocytes experiment, the essential oil of rosemary was shown having a significant role in anti-inflammation. And the ethanol extraction had broad-spectrum antibacterial effects, but had no effect on mold by the agar diffusion method of 8 bacteria. As a result, both rosemary essential oil and ethanol extraction had good potential medicinal values.
文摘Shape optimization of mechanical components is one of the issues that have been considered in recent years. Different methods were presented such as adaptive biological for reducing costs and increasing accuracy. The effects of step factor, the number of control points and the definition way of control points coordinates in convergence rate were studied. A code was written using ANSYS Parametric Design Language (APDL) which receives the studied parameters as input and obtains the optimum shape for the components. The results show that for achieving successful optimization, step factor should be in a specific range. It is found that the use of any coordinate system in defining control points coordinates and selection of any direction for stimulus vector of algorithm will also result in optimum shape. Furthermore, by increasing the number of control points, some non-uniformities are created in the studied boundary. Achieving acceptable accuracy seems impossible due to the creation of saw form at the studied boundary which is called "saw position".
文摘The region of Tlemcen is located in the northwestern part of Algeria. Its arid climate leads to the degradation of vegetation in open formation, where can be found the doum, the diss and broom. Other aromatic species such as rosemary, thyme, lavender and horehound are considered as well. The four previous aromatic species belong to the family Labiatae for their morphological and botanical characters. The authors propose to design an approach to identify the diversity of malacofauna found on these different Lamiaceae. These are certainly a nutritional source for this malacological fauna. So, a survey was performed in various stations. The malacological richness is estimated to be 19 for thyme, 18 for rosemary, 16 for lavender, and finally 7 for horehound. It includes four families, namely Milacidae, Sphincterochilidae, Helicidae and Subulinidae. Milacidae are present only in horehound and lavender stations. On the other hand, the Sphincterochilidae, namely Sphincterochila candidissima, is absent on horehound. Rumina decollata is the only species in the family Subulinidae. As for the family Helicidae, it is the richest and includes two specific subfamilies: Helicinae and Helicellinae. The first subfamily consists of 11 species of thyme, 10 species of rosemary and lavender. The second subfamily includes 6 species of thyme and rosemary and 3 of lavender, respectively. In addition, the author tries to look for the malacological species specific to each of these plants and those who are common to them as well. Finally, the vertical distribution of gastropods is given.
基金Supported by the National Natural Science Foundation of China.
文摘In [l], a property of roots of polynomials is considered, which involves the existence of local analytic solutions of polynomial-like functional iterative equations. In this paper we discuss this property and obtain a succinct condition to decide whether this property holds. Our main result is: A polynomialλnzn+''' + λ2z2 + λlz + λ0 of degree n has a root or such that inf{|λnanm +... + λ2a2m + λ1am+ λ0|: m = 2, 3,.. .} > 0 if and only if at least one of the following two conditions holds: (i) the polynomial has a root β satisfying |β| > 1; (ii) the polynomial has a root β satisfying |β| < 1, and λ0≠0
基金Acknowledgements The first author was supported by National Natural Science Foundation of China(Grant Nos.11101257 and 11371102)the Basic Academic Discipline Program,the 11th Five Year Plan of 211 Project for Shanghai University of Finance and Economics+1 种基金supported by National Science Foundation of USA(Grant Nos.1115834and 1317330)a Research Gift Grant from Intel Corporation
文摘The necessary condition established in Part I of this paper for the global maximizers of the maximization problem max V tr(VTAV)/tr(VTBV)+tr(VTCV)over the Stiefel manifold{V∈Rm×l |VTV=Il}(l〈m),naturally leads to a self-consistent-field(SCF)iteration for computing a maximizer.In this part,we analyze the global and local convergence of the SCF iteration,and show that the necessary condition for the global maximizers is fulfilled at any convergent point of the sequences of approximations generated by the SCF iteration.This is one of the advantages of the SCF iteration over optimization-based methods.Preliminary numerical tests are reported and show that the SCF iteration is very efficient by comparing with some manifold-based optimization methods.
基金supported by the National Natural Science Foundation of China (Grant No. 51176088)the Open Research Foundation of State Key Laboratory of Hydroscience and Engineering of Tsinghua University(Grant No. 2009T3)
文摘A loss model for the mixed-flow pump impellers was developed by summarizing a variety of loss calculation formulas systematically.The internal flow field of the impeller was obtained by employing the iterative calculation for S 1 and S 2 stream surfaces to solve the continuity and motion equations of fluid.Based on the calculation method of the flow field and the loss model,it is achieved to predict the impeller performance of the mixed-flow pump and the performance curves of a mixed-flow pump model with adjustable blades.Compared with the test data,the loss model of the mixed-flow pump based on the iterative calculation can predict the impeller performance quickly and accurately,which has a high value on the engineering applications.Based on the test verification,curves of various kinds of losses varied for the flow rate were analyzed under different blade angles.In addition,the mechanisms of various kinds of losses inside the mixed-flow pump impeller were discussed in-depth.
基金supported by National Natural Science Foundation of China(Grant Nos.11101325,11271297,71371152 and 71171158)partially supported by the Foundations of the Key Discipline of the State Ethnic Affairs Commission
文摘In this paper, we propose and analyze adaptive projected gradient thresholding(APGT) methods for finding sparse solutions of the underdetermined linear systems with equality and box constraints. The general convergence will be demonstrated, and in addition, the bound of the number of iterations is established in some special cases. Under suitable assumptions, it is proved that any accumulation point of the sequence generated by the APGT methods is a local minimizer of the underdetermined linear system. Moreover, the APGT methods, under certain conditions, can find all s-sparse solutions for accurate measurement cases and guarantee the stability and robustness for flawed measurement cases. Numerical examples are presented to show the accordance with theoretical results in compressed sensing and verify high out-of-sample performance in index tracking.
基金supported by National Natural Science Foundation of China (Grant No. 11571176)
文摘We consider a pseudo-differential system involving different fractional orders. Through an iteration method, we obtain the key ingredients—the maximum principles—of the method of moving planes. Then we derive symmetry on non-negative solutions without any decay assumption at infinity.
基金This work was supported by the National Natural Science Foundation of China (No. 11071254).
文摘This paper is concerned with the existence of traveling wave solutions in a reaction- diffusion predator-prey system with nonlocal delays. By introducing a partially expo- nential quasi-monotonicity condition and a new cross iteration scheme, we reduce the existence of traveling wave solutions to the existence of a pair of upper-lower solutions. By constructing a desirable pair of upper-lower solutions, we establish the existence of traveling wave solutions. Finally, some numerical examples are carried out to illustrate the theoretical results.