We study thermodynamics of charged AdS black hole surrounded by quintessence in a new formalism which is called the restricted phase space thermodynamics.This context is based on Visser’s holographic thermodynamics w...We study thermodynamics of charged AdS black hole surrounded by quintessence in a new formalism which is called the restricted phase space thermodynamics.This context is based on Visser’s holographic thermodynamics with a fixed antide Sitter radius and a variable Newton constant.The conjugate variables,central charge C and the chemical potential m,are introduced as a new pair of thermodynamic variables.We find that the iso-e-charge T-S curve becomes non-monotonic when Q<Q_(c).Correspondingly,the F-T curve exhibits a swallow tail structure.This behavior is considered as a van der Waals-like phase transition.As the value of b related to the energy density of Kiselev’s fluid becomes larger,the critical temperature T_(c)will decrease.Thus,the van derWaals-like phase transition will occur at lower temperature.There is always a non-quilibrium transition from a small unstable black hole to a large stable black hole state in the isocoltage T-S process.There exist a maximum and a Hawking-Page phase transition points in theμ-C plane.As the value of b related to Kiselev’s fluid becomes larger,the Hawking-Page phase transition will occur at lower temperature in the isovoltageμ-T process.For other values of the state parameterω,there also exists van der Waals-like phase transition.展开更多
This paper discusses conditions under which the solution of linear system with minimal Schatten-p norm, 0 〈 p ≤ 1, is also the lowest-rank solution of this linear system. To study this problem, an important tool is ...This paper discusses conditions under which the solution of linear system with minimal Schatten-p norm, 0 〈 p ≤ 1, is also the lowest-rank solution of this linear system. To study this problem, an important tool is the restricted isometry constant （RIC）. Some papers provided the upper bounds of RIC to guarantee that the nuclear-norm minimization stably recovers a low-rank matrix. For example, Fazel improved the upper bounds to δ4Ar 〈 0.558 and δ3rA 〈 0.4721, respectively. Recently, the upper bounds of RIC can be improved to δ2rA 〈 0.307. In fact, by using some methods, the upper bounds of RIC can be improved to δ2tA 〈 0.4931 and δrA 〈 0.309. In this paper, we focus on the lower bounds of RIC, we show that there exists linear maps A with δ2rA 〉1√2 or δrA 〉 1/3 for which nuclear norm recovery fail on some matrix with rank at most r. These results indicate that there is only a little limited room for improving the upper bounds for δ2rA and δrA.Furthermore, we also discuss the upper bound of restricted isometry constant associated with linear maps A for Schatten p （0 〈 p 〈 1） quasi norm minimization problem.展开更多
The irreversible modifying effects onPst I of several inhibitors have been studied with the irreversible inhibition kinetic theory of single substrate reaction provided by Tsou, C. L. Pyridoxal phosphate (PLP), p-chlo...The irreversible modifying effects onPst I of several inhibitors have been studied with the irreversible inhibition kinetic theory of single substrate reaction provided by Tsou, C. L. Pyridoxal phosphate (PLP), p-chloromercuribenzoic acid (PCMB), diisopropyl fluorophosphate (DEP), 2,3-diacetyl (DAC) and N-ethyl-5-phenylisoxazoliun-3′-sulfonate (woodward's reagent K, WRK) modify the lysine, cysine, serteine, arginine and carboxyl groups of the protein molecule respectively. These five inhibitors have been found to inhibit both the prime activity and star activity ofPst I. Used with the irreversible inhibition theory, the apparent inhibition rate constant,A and the microcosmic inhibition rate constants,k +0 andk′ +0 of every inhibitor were calculated. We also found that their inhibition effects belong to the noncompetitive irreversible inhibition. Results show that among the groups to be modified, some have nothing to do with the combination with the substrate, and some may have, but any of them isn't the only factor involved in the specific binding. Despite all this, they may take part in the catalysis of enzyme or have important effects on maintaining the active structure of enzyme molecules. Furthermore, serine and arginine residues are related to the alteration ofPst I conformation and then influence the ability ofPst I recognizing and incising DNA specifically.展开更多
In an underdetermined system,compressive sensing can be used to recover the support vector.Greedy algorithms will recover the support vector indices in an iterative manner.Generalized Orthogonal Matching Pursuit(GOMP)...In an underdetermined system,compressive sensing can be used to recover the support vector.Greedy algorithms will recover the support vector indices in an iterative manner.Generalized Orthogonal Matching Pursuit(GOMP)is the generalized form of the Orthogonal Matching Pursuit(OMP)algorithm where a number of indices selected per iteration will be greater than or equal to 1.To recover the support vector of unknown signal‘x’from the compressed measurements,the restricted isometric property should be satisfied as a sufficient condition.Finding the restricted isometric constant is a non-deterministic polynomial-time hardness problem due to that the coherence of the sensing matrix can be used to derive the sufficient condition for support recovery.In this paper a sufficient condition based on the coherence parameter to recover the support vector indices of an unknown sparse signal‘x’using GOMP has been derived.The derived sufficient condition will recover support vectors of P-sparse signal within‘P’iterations.The recovery guarantee for GOMP is less restrictive,and applies to OMP when the number of selection elements equals one.Simulation shows the superior performance of the GOMP algorithm compared with other greedy algorithms.展开更多
研究了基于数字控制器实现Buck变换器的软启动(Soft Start,简称SS)和恒压限流(Constant Voltage Re-stricted Current,简称CVRC)输出功能,即在启动过程中控制输出电压参考量由零逐渐增大到额定电压值,并对PWM占空比进行闭环调节;正常工...研究了基于数字控制器实现Buck变换器的软启动(Soft Start,简称SS)和恒压限流(Constant Voltage Re-stricted Current,简称CVRC)输出功能,即在启动过程中控制输出电压参考量由零逐渐增大到额定电压值,并对PWM占空比进行闭环调节;正常工作时检测输出电流的采样值,若小于门限值则进行恒压控制,否则进行限流控制。详述了软启动的实现过程及恒压限流输出的控制流程,并进行了输入50V,输出25V/300W的样机实验。结果表明,设计的软启动和恒压限流输出方案切实可行;搭建的Buck变换器系统运行可靠性高,动态性能良好,切换速度快,其对于实现同样功能的大功率输出DC/DC变换器也具有很好的指导意义。展开更多
研究了温度、酶浓度、反应时间、几种有机溶剂等因素对PstⅠ星号活力的影响,并在有利于星号活力的反应条件下测定了星号活力及原活力的Km 分别为1.46×10- 7 m ol/L和1.02×10- 8 m ol/L,Vm ax 分别为2.86×10- 16 m ol/s和...研究了温度、酶浓度、反应时间、几种有机溶剂等因素对PstⅠ星号活力的影响,并在有利于星号活力的反应条件下测定了星号活力及原活力的Km 分别为1.46×10- 7 m ol/L和1.02×10- 8 m ol/L,Vm ax 分别为2.86×10- 16 m ol/s和3.06×10- 15 m ol/s.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.12373022 and U1731107).
文摘We study thermodynamics of charged AdS black hole surrounded by quintessence in a new formalism which is called the restricted phase space thermodynamics.This context is based on Visser’s holographic thermodynamics with a fixed antide Sitter radius and a variable Newton constant.The conjugate variables,central charge C and the chemical potential m,are introduced as a new pair of thermodynamic variables.We find that the iso-e-charge T-S curve becomes non-monotonic when Q<Q_(c).Correspondingly,the F-T curve exhibits a swallow tail structure.This behavior is considered as a van der Waals-like phase transition.As the value of b related to the energy density of Kiselev’s fluid becomes larger,the critical temperature T_(c)will decrease.Thus,the van derWaals-like phase transition will occur at lower temperature.There is always a non-quilibrium transition from a small unstable black hole to a large stable black hole state in the isocoltage T-S process.There exist a maximum and a Hawking-Page phase transition points in theμ-C plane.As the value of b related to Kiselev’s fluid becomes larger,the Hawking-Page phase transition will occur at lower temperature in the isovoltageμ-T process.For other values of the state parameterω,there also exists van der Waals-like phase transition.
基金supported by National Natural Science Foundation of China (Grant Nos.91130009, 11171299 and 11041005)National Natural Science Foundation of Zhejiang Province in China (Grant Nos. Y6090091 and Y6090641)
文摘This paper discusses conditions under which the solution of linear system with minimal Schatten-p norm, 0 〈 p ≤ 1, is also the lowest-rank solution of this linear system. To study this problem, an important tool is the restricted isometry constant （RIC）. Some papers provided the upper bounds of RIC to guarantee that the nuclear-norm minimization stably recovers a low-rank matrix. For example, Fazel improved the upper bounds to δ4Ar 〈 0.558 and δ3rA 〈 0.4721, respectively. Recently, the upper bounds of RIC can be improved to δ2rA 〈 0.307. In fact, by using some methods, the upper bounds of RIC can be improved to δ2tA 〈 0.4931 and δrA 〈 0.309. In this paper, we focus on the lower bounds of RIC, we show that there exists linear maps A with δ2rA 〉1√2 or δrA 〉 1/3 for which nuclear norm recovery fail on some matrix with rank at most r. These results indicate that there is only a little limited room for improving the upper bounds for δ2rA and δrA.Furthermore, we also discuss the upper bound of restricted isometry constant associated with linear maps A for Schatten p （0 〈 p 〈 1） quasi norm minimization problem.
基金Supported by the Research Fund for the Doctoral Program of Higher Education ( 19990 486 0 1)
文摘The irreversible modifying effects onPst I of several inhibitors have been studied with the irreversible inhibition kinetic theory of single substrate reaction provided by Tsou, C. L. Pyridoxal phosphate (PLP), p-chloromercuribenzoic acid (PCMB), diisopropyl fluorophosphate (DEP), 2,3-diacetyl (DAC) and N-ethyl-5-phenylisoxazoliun-3′-sulfonate (woodward's reagent K, WRK) modify the lysine, cysine, serteine, arginine and carboxyl groups of the protein molecule respectively. These five inhibitors have been found to inhibit both the prime activity and star activity ofPst I. Used with the irreversible inhibition theory, the apparent inhibition rate constant,A and the microcosmic inhibition rate constants,k +0 andk′ +0 of every inhibitor were calculated. We also found that their inhibition effects belong to the noncompetitive irreversible inhibition. Results show that among the groups to be modified, some have nothing to do with the combination with the substrate, and some may have, but any of them isn't the only factor involved in the specific binding. Despite all this, they may take part in the catalysis of enzyme or have important effects on maintaining the active structure of enzyme molecules. Furthermore, serine and arginine residues are related to the alteration ofPst I conformation and then influence the ability ofPst I recognizing and incising DNA specifically.
文摘In an underdetermined system,compressive sensing can be used to recover the support vector.Greedy algorithms will recover the support vector indices in an iterative manner.Generalized Orthogonal Matching Pursuit(GOMP)is the generalized form of the Orthogonal Matching Pursuit(OMP)algorithm where a number of indices selected per iteration will be greater than or equal to 1.To recover the support vector of unknown signal‘x’from the compressed measurements,the restricted isometric property should be satisfied as a sufficient condition.Finding the restricted isometric constant is a non-deterministic polynomial-time hardness problem due to that the coherence of the sensing matrix can be used to derive the sufficient condition for support recovery.In this paper a sufficient condition based on the coherence parameter to recover the support vector indices of an unknown sparse signal‘x’using GOMP has been derived.The derived sufficient condition will recover support vectors of P-sparse signal within‘P’iterations.The recovery guarantee for GOMP is less restrictive,and applies to OMP when the number of selection elements equals one.Simulation shows the superior performance of the GOMP algorithm compared with other greedy algorithms.
文摘研究了基于数字控制器实现Buck变换器的软启动(Soft Start,简称SS)和恒压限流(Constant Voltage Re-stricted Current,简称CVRC)输出功能,即在启动过程中控制输出电压参考量由零逐渐增大到额定电压值,并对PWM占空比进行闭环调节;正常工作时检测输出电流的采样值,若小于门限值则进行恒压控制,否则进行限流控制。详述了软启动的实现过程及恒压限流输出的控制流程,并进行了输入50V,输出25V/300W的样机实验。结果表明,设计的软启动和恒压限流输出方案切实可行;搭建的Buck变换器系统运行可靠性高,动态性能良好,切换速度快,其对于实现同样功能的大功率输出DC/DC变换器也具有很好的指导意义。
文摘研究了温度、酶浓度、反应时间、几种有机溶剂等因素对PstⅠ星号活力的影响,并在有利于星号活力的反应条件下测定了星号活力及原活力的Km 分别为1.46×10- 7 m ol/L和1.02×10- 8 m ol/L,Vm ax 分别为2.86×10- 16 m ol/s和3.06×10- 15 m ol/s.
