Silver phenylacetylide oligomer was found to exhibit prominent third-order nonlinear optical property, with susceptibility chi((3)) of 2.4x10(-14) esu (10(-4) mol/L in 1:1 dimethyl sulfoxide/CHCl3 mixed solution) and ...Silver phenylacetylide oligomer was found to exhibit prominent third-order nonlinear optical property, with susceptibility chi((3)) of 2.4x10(-14) esu (10(-4) mol/L in 1:1 dimethyl sulfoxide/CHCl3 mixed solution) and second-order hyperpolarizability gamma of 5.18x10(-32) esu via heterodyned ultrafast optical Kerr effect measurement. It existed mainly as 1:1 complex oligomers and polymers as characterized by mass spectroscopy and elemental analysis etc.展开更多
Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, ...Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necessary and sufficient conditions for the optimal convergence factor are determined. A numerical example is offered to validate the efficacy of the suggested algorithm.展开更多
A rapid method is applied to analyze conjugated organic ligands bridged binuclear ruthenium complexes by electrospray ionization-tandem mass spectrometry (ESI MSn).Fragmentation pattern be discussed.
The contact problem for thermoelectric materials with functionally graded properties is considered.The material properties,such as the electric conductivity,the thermal conductivity,the shear modulus,and the thermal e...The contact problem for thermoelectric materials with functionally graded properties is considered.The material properties,such as the electric conductivity,the thermal conductivity,the shear modulus,and the thermal expansion coefficient,vary in an exponential function.Using the Fourier transform technique,the electro-thermoelastic problems are transformed into three sets of singular integral equations which are solved numerically in terms of the unknown normal electric current density,the normal energy flux,and the contact pressure.Meanwhile,the complex homogeneous solutions of the displacement fields caused by the gradient parameters are simplified with the help of Euler’s formula.After addressing the non-linearity excited by thermoelectric effects,the particular solutions of the displacement fields can be assessed.The effects of various combinations of material gradient parameters and thermoelectric loads on the contact behaviors of thermoelectric materials are presented.The results give a deep insight into the contact damage mechanism of functionally graded thermoelectric materials(FGTEMs).展开更多
This paper presents an algorithm that aims to reduce the peak-to-average power ratio(PAPR)of orthogonal frequency division multiplexing(OFDM)communication systems while maintaining frequency tracking.The algorithm ach...This paper presents an algorithm that aims to reduce the peak-to-average power ratio(PAPR)of orthogonal frequency division multiplexing(OFDM)communication systems while maintaining frequency tracking.The algorithm achieves PAPR reduction by applying the complex conjugates of the data symbol obtained from the frequency domain to cancel the phase of the data symbol.A likelihood estimator is used to obtain the sub-carrier phase error due to the residual carrier frequency offset(RCFO)using the same complex conjugates as a pilot signal.Furthermore,a joint time and frequency domain multicarrier phase locked loop(MPLL)is developed to compensate additional frequency offset.Simulation results show that this algorithm is capable of reducing PAPR without impacting the frequency tracking performance.展开更多
This paper aims to search for the solutions of the(2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation.Lump solutions,breather solutions,mixed solutions with solitons,and lump-breather solutions can be o...This paper aims to search for the solutions of the(2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation.Lump solutions,breather solutions,mixed solutions with solitons,and lump-breather solutions can be obtained from the N-soliton solution formula by using the long-wave limit approach and the conjugate complex method.We use both specific circumstances and general higher-order forms of the hybrid solutions as examples.With the help of maple software,we create density and 3D graphs to summarize the dynamic properties of these solutions.Additionally,it is possible to observe how the solutions'trajectory,velocity,and shape vary over time.展开更多
By using the notion of Fischer–Marsden equation on real hypersurfaces in the complex hyperbolic quadric Q^(m∗)=SO^(o)_(2,m)/SO_(2)SO_(m),we can assert that there does not exist a non-trivial solution(g,ν)of Fischer...By using the notion of Fischer–Marsden equation on real hypersurfaces in the complex hyperbolic quadric Q^(m∗)=SO^(o)_(2,m)/SO_(2)SO_(m),we can assert that there does not exist a non-trivial solution(g,ν)of Fischer–Marsden equation on real hypersurfaces with isometric Reeb flow in the complex hyperbolic quadric Q^(m∗).Next,as an application we also show that there does not exist a non-trivial solution(g,ν)of the Fischer–Marsden equation on contact real hypersurfaces in the complex hyperbolic quadric Q^(m∗).Consequently,the Fischer–Marsden conjecture is true on these two kinds of real hypersurfaces in the complex hyperbolic quadric Q^(m∗).展开更多
We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric Qm = SOm＋2/SOmSO2. It is shown that the commuting Ricci tensor gives that the unit normal vector field N becomes -princ...We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric Qm = SOm＋2/SOmSO2. It is shown that the commuting Ricci tensor gives that the unit normal vector field N becomes -principal or -isotropic. Then according to each case, we give a complete classification of Hopf real hypersurfaces in Qm = SOm＋2/SOmSO2 with commuting Ricci tensor.展开更多
In this paper,algebraic criteria are established to determine whether or not a real coefficient polynomial has one or two pairs of conjugate complex roots whose moduli are equal to 1 and the other roots have moduli le...In this paper,algebraic criteria are established to determine whether or not a real coefficient polynomial has one or two pairs of conjugate complex roots whose moduli are equal to 1 and the other roots have moduli less than 1 directly from its coefficients.The form and the function of the criteria are similar to those of the Jury criterion which can be used to determine whether or not all the moduli of the roots of a real coefficient polynomial are less than 1.展开更多
文摘Silver phenylacetylide oligomer was found to exhibit prominent third-order nonlinear optical property, with susceptibility chi((3)) of 2.4x10(-14) esu (10(-4) mol/L in 1:1 dimethyl sulfoxide/CHCl3 mixed solution) and second-order hyperpolarizability gamma of 5.18x10(-32) esu via heterodyned ultrafast optical Kerr effect measurement. It existed mainly as 1:1 complex oligomers and polymers as characterized by mass spectroscopy and elemental analysis etc.
文摘Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necessary and sufficient conditions for the optimal convergence factor are determined. A numerical example is offered to validate the efficacy of the suggested algorithm.
文摘A rapid method is applied to analyze conjugated organic ligands bridged binuclear ruthenium complexes by electrospray ionization-tandem mass spectrometry (ESI MSn).Fragmentation pattern be discussed.
基金supported by the National Natural Science Foundation of China(Nos.11972257,11832014,11762016,11472193)the Fundamental Research Funds for the Central Universities(No.22120180223)。
文摘The contact problem for thermoelectric materials with functionally graded properties is considered.The material properties,such as the electric conductivity,the thermal conductivity,the shear modulus,and the thermal expansion coefficient,vary in an exponential function.Using the Fourier transform technique,the electro-thermoelastic problems are transformed into three sets of singular integral equations which are solved numerically in terms of the unknown normal electric current density,the normal energy flux,and the contact pressure.Meanwhile,the complex homogeneous solutions of the displacement fields caused by the gradient parameters are simplified with the help of Euler’s formula.After addressing the non-linearity excited by thermoelectric effects,the particular solutions of the displacement fields can be assessed.The effects of various combinations of material gradient parameters and thermoelectric loads on the contact behaviors of thermoelectric materials are presented.The results give a deep insight into the contact damage mechanism of functionally graded thermoelectric materials(FGTEMs).
基金supported by the National Natural Science Foundation of China(60872026)the Natural Science Foundation of Tianjin(09JCZDJC16900)
文摘This paper presents an algorithm that aims to reduce the peak-to-average power ratio(PAPR)of orthogonal frequency division multiplexing(OFDM)communication systems while maintaining frequency tracking.The algorithm achieves PAPR reduction by applying the complex conjugates of the data symbol obtained from the frequency domain to cancel the phase of the data symbol.A likelihood estimator is used to obtain the sub-carrier phase error due to the residual carrier frequency offset(RCFO)using the same complex conjugates as a pilot signal.Furthermore,a joint time and frequency domain multicarrier phase locked loop(MPLL)is developed to compensate additional frequency offset.Simulation results show that this algorithm is capable of reducing PAPR without impacting the frequency tracking performance.
文摘This paper aims to search for the solutions of the(2+1)-dimensional extended Boiti–Leon–Manna–Pempinelli equation.Lump solutions,breather solutions,mixed solutions with solitons,and lump-breather solutions can be obtained from the N-soliton solution formula by using the long-wave limit approach and the conjugate complex method.We use both specific circumstances and general higher-order forms of the hybrid solutions as examples.With the help of maple software,we create density and 3D graphs to summarize the dynamic properties of these solutions.Additionally,it is possible to observe how the solutions'trajectory,velocity,and shape vary over time.
基金supported by Grants Proj.No.NRF-2018-R1D1A1B-05040381&NRF-2021-R1C1C-2009847 from National Research Foundation of Korea.
文摘By using the notion of Fischer–Marsden equation on real hypersurfaces in the complex hyperbolic quadric Q^(m∗)=SO^(o)_(2,m)/SO_(2)SO_(m),we can assert that there does not exist a non-trivial solution(g,ν)of Fischer–Marsden equation on real hypersurfaces with isometric Reeb flow in the complex hyperbolic quadric Q^(m∗).Next,as an application we also show that there does not exist a non-trivial solution(g,ν)of the Fischer–Marsden equation on contact real hypersurfaces in the complex hyperbolic quadric Q^(m∗).Consequently,the Fischer–Marsden conjecture is true on these two kinds of real hypersurfaces in the complex hyperbolic quadric Q^(m∗).
基金supported by National Research Foundation of Korea (Grant No. NRF2015-R1A2A1A-01002459)
文摘We introduce the notion of commuting Ricci tensor for real hypersurfaces in the complex quadric Qm = SOm＋2/SOmSO2. It is shown that the commuting Ricci tensor gives that the unit normal vector field N becomes -principal or -isotropic. Then according to each case, we give a complete classification of Hopf real hypersurfaces in Qm = SOm＋2/SOmSO2 with commuting Ricci tensor.
基金supported by National Natural Science Foundation of China(Grant No.10891056)
文摘In this paper,algebraic criteria are established to determine whether or not a real coefficient polynomial has one or two pairs of conjugate complex roots whose moduli are equal to 1 and the other roots have moduli less than 1 directly from its coefficients.The form and the function of the criteria are similar to those of the Jury criterion which can be used to determine whether or not all the moduli of the roots of a real coefficient polynomial are less than 1.
