In this paper,we investigate some properties of dual complex numbers,dual complex vectors,and dual complex matrices.First,based on the magnitude of the dual complex number,we study the Young inequality,the Hölder...In this paper,we investigate some properties of dual complex numbers,dual complex vectors,and dual complex matrices.First,based on the magnitude of the dual complex number,we study the Young inequality,the Hölder inequality,and the Minkowski inequality in the setting of dual complex numbers.Second,we define the p-norm of a dual complex vector,which is a nonnegative dual number,and show some related properties.Third,we study the properties of eigenvalues of unitary matrices and unitary triangulation of arbitrary dual complex matrices.In particular,we introduce the operator norm of dual complex matrices induced by the p-norm of dual complex vectors,and give expressions of three important operator norms of dual complex matrices.展开更多
In this study,we constructed dual-transgene vectors（pDT1,pDT7,and pDT7G） that simultaneously co-expressed two genes in plants.ACTIN2 and UBQ10 promoters were used to control the expression of these two genes.The 4&#...In this study,we constructed dual-transgene vectors（pDT1,pDT7,and pDT7G） that simultaneously co-expressed two genes in plants.ACTIN2 and UBQ10 promoters were used to control the expression of these two genes.The 4×Myc.3×HA,and 3×Flag reporter genes allowed for the convenient identification of a tunable co-expression system in plants,whereas the dexamethasone（Dex） inducible reporter gene C-terminus of the glucocorticoid receptor（cGR） provided Dex-dependent translocation of the fusion gene between the nucleus and cytoplasm.The function of pDT vectors was validated using four pairwise genes in Nicotiana benthamiana or Anihidopsis thaliana.The co-expression efficiency of two genes from the pDT1 and pDT7 G vectors was 35%and 42%,respectively,which ensured the generation of sufficient transgenic materials.These pDT vectors are simple,reliable,efficient,and time-saving tools for the co-expression of two genes through a single transformation event and can be used in the study of protein-protein interactions or multi-component complexes.展开更多
This study aimed to construct the dual-gene expression vector p Hsa-miR16-siRNA which can express human miR-16 and HBV X siRNA, and examine its regulatory effect on HBV gene expression in the HepG2.2.15 cell line. The...This study aimed to construct the dual-gene expression vector p Hsa-miR16-siRNA which can express human miR-16 and HBV X siRNA, and examine its regulatory effect on HBV gene expression in the HepG2.2.15 cell line. The expression vectors siR-1583 and pHsa-miR16-siRNA were designed and constructed. Hep G2.2.15 cells were transfected with the empty vector, siR-1583, pmiR-16 and pHsa-miR16-siRNA, respectively. ELISA was performed to measure the expression of HBsAg and HBeAg in the culture supernatant 48 and72 h post transfection. Fluorescence quantitative PCR was used to measure the HBV mRNA degradation efficiency and HBV DNA copy number. The results showed that the expression of HBV genes was significantly inhibited in Hep G2.2.15 cells transfected with siR-1583, pmiR-16 and pHsa-miR16-siRNA, respectively, when compared with that in cells transfected with the empty vectors, with the inhibitory effect of pHsa-miR16-siRNA being the most significant. ELISA showed that the inhibitory rates of HBs Ag and HBeAg in pHsa-miR16-siRNA transfected cells were correspondingly 87.3% and 85.0% at 48 h, and 88.6% and 86.5% at 72 h post transfection（P〈0.01 vs. control group）. RT-PCR showed that the level of HBV mRNA decreased by 80.2%（t=–99.22, P〈0.01）, the genomic HBV DNA by 92.8%（t=–73.06, P〈0.01）, and the supernatant of HBV DNA copy number by 89.8%（t=–47.13, P〈0.01） in pHsa-miR16-siRNA transfected group. It was suggested that the dual-gene expression vector pHsa-miR16-siRNA can inhibit the replication of HBV more efficiently than a single-gene expression vector.展开更多
For the navigation algorithm of the strapdown inertial navigation system, by comparing to the equations of the dual quaternion and quaternion, the superiority of the attitude algorithm based on dual quaternion over th...For the navigation algorithm of the strapdown inertial navigation system, by comparing to the equations of the dual quaternion and quaternion, the superiority of the attitude algorithm based on dual quaternion over the ones based on rotation vector in accuracy is analyzed in the case of the rotation of navigation frame. By comparing the update algorithm of the gravitational velocity in dual quaternion solution with the compensation algorithm of the harmful acceleration in traditional velocity solution, the accuracy advantage of the gravitational velocity based on dual quaternion is addressed. In view of the idea of the attitude and velocity algorithm based on dual quaternion, an improved navigation algorithm is proposed, which is as much as the rotation vector algorithm in computational complexity. According to this method, the attitude quaternion does not require compensating as the navigation frame rotates. In order to verify the correctness of the theoretical analysis, simulations are carried out utilizing the software, and the simulation results show that the accuracy of the improved algorithm is approximately equal to the dual quaternion algorithm.展开更多
Wiener amalgam spaces are a class of function spaces where the function’s local and global behavior can be easily distinguished. These spaces are ex-tensively used in Harmonic analysis that originated in the work of ...Wiener amalgam spaces are a class of function spaces where the function’s local and global behavior can be easily distinguished. These spaces are ex-tensively used in Harmonic analysis that originated in the work of Wiener. In this paper: we first introduce a two-variable exponent amalgam space (L<sup>q</sup><sup>()</sup>,l<sup>p</sup><sup>()</sup>)(Ω). Secondly, we investigate some basic properties of these spaces, and finally, we study their dual.展开更多
In this paper, responses of a new dual-induction resistivity logging-while-drilling （LWD） tool in 3D inhomogeneous formation models are simulated by the vectorfinite element method （VFEM）, the influences of the bo...In this paper, responses of a new dual-induction resistivity logging-while-drilling （LWD） tool in 3D inhomogeneous formation models are simulated by the vectorfinite element method （VFEM）, the influences of the borehole, invaded zone, surroundingstrata, and tool eccentricity are analyzed, and calibration loop parameters and calibrationcoefficients of the LWD tool are discussed. The results show that the tool has a greater depthof investigation than that of the existing electromagnetic propagation LWD tools and is moresensitive to azimuthal conductivity. Both deep and medium induction responses have linearrelationships with the formation conductivity, considering optimal calibration loop parametersand calibration coefficients. Due to the different depths of investigation and resolution, deepinduction and medium induction are affected differently by the formation model parameters,thereby having different correction factors. The simulation results can provide theoreticalreferences for the research and interpretation of the dual-induction resistivity LWD tools.展开更多
基金the National Natural Science Foundation of China(Grant No.11871051).
文摘In this paper,we investigate some properties of dual complex numbers,dual complex vectors,and dual complex matrices.First,based on the magnitude of the dual complex number,we study the Young inequality,the Hölder inequality,and the Minkowski inequality in the setting of dual complex numbers.Second,we define the p-norm of a dual complex vector,which is a nonnegative dual number,and show some related properties.Third,we study the properties of eigenvalues of unitary matrices and unitary triangulation of arbitrary dual complex matrices.In particular,we introduce the operator norm of dual complex matrices induced by the p-norm of dual complex vectors,and give expressions of three important operator norms of dual complex matrices.
基金supported by the National Natural Science Foundation of China(Grant No.31171176)the Cooperative Innovation Center of Engineering and New Products for Developmental Biology of Hunan Province(Grant No.20134486)
文摘In this study,we constructed dual-transgene vectors（pDT1,pDT7,and pDT7G） that simultaneously co-expressed two genes in plants.ACTIN2 and UBQ10 promoters were used to control the expression of these two genes.The 4×Myc.3×HA,and 3×Flag reporter genes allowed for the convenient identification of a tunable co-expression system in plants,whereas the dexamethasone（Dex） inducible reporter gene C-terminus of the glucocorticoid receptor（cGR） provided Dex-dependent translocation of the fusion gene between the nucleus and cytoplasm.The function of pDT vectors was validated using four pairwise genes in Nicotiana benthamiana or Anihidopsis thaliana.The co-expression efficiency of two genes from the pDT1 and pDT7 G vectors was 35%and 42%,respectively,which ensured the generation of sufficient transgenic materials.These pDT vectors are simple,reliable,efficient,and time-saving tools for the co-expression of two genes through a single transformation event and can be used in the study of protein-protein interactions or multi-component complexes.
基金supported by grants from the Independent Innovation Research Fund of Huazhong University of Science and Technology(No.2016YXMS200)Natural Science Foundation of the Science and Technology Department of Hubei Province(No.ZRMS2017000406)
文摘This study aimed to construct the dual-gene expression vector p Hsa-miR16-siRNA which can express human miR-16 and HBV X siRNA, and examine its regulatory effect on HBV gene expression in the HepG2.2.15 cell line. The expression vectors siR-1583 and pHsa-miR16-siRNA were designed and constructed. Hep G2.2.15 cells were transfected with the empty vector, siR-1583, pmiR-16 and pHsa-miR16-siRNA, respectively. ELISA was performed to measure the expression of HBsAg and HBeAg in the culture supernatant 48 and72 h post transfection. Fluorescence quantitative PCR was used to measure the HBV mRNA degradation efficiency and HBV DNA copy number. The results showed that the expression of HBV genes was significantly inhibited in Hep G2.2.15 cells transfected with siR-1583, pmiR-16 and pHsa-miR16-siRNA, respectively, when compared with that in cells transfected with the empty vectors, with the inhibitory effect of pHsa-miR16-siRNA being the most significant. ELISA showed that the inhibitory rates of HBs Ag and HBeAg in pHsa-miR16-siRNA transfected cells were correspondingly 87.3% and 85.0% at 48 h, and 88.6% and 86.5% at 72 h post transfection（P〈0.01 vs. control group）. RT-PCR showed that the level of HBV mRNA decreased by 80.2%（t=–99.22, P〈0.01）, the genomic HBV DNA by 92.8%（t=–73.06, P〈0.01）, and the supernatant of HBV DNA copy number by 89.8%（t=–47.13, P〈0.01） in pHsa-miR16-siRNA transfected group. It was suggested that the dual-gene expression vector pHsa-miR16-siRNA can inhibit the replication of HBV more efficiently than a single-gene expression vector.
基金supported by the National Natural Science Foundation of China (No. 61174126)
文摘For the navigation algorithm of the strapdown inertial navigation system, by comparing to the equations of the dual quaternion and quaternion, the superiority of the attitude algorithm based on dual quaternion over the ones based on rotation vector in accuracy is analyzed in the case of the rotation of navigation frame. By comparing the update algorithm of the gravitational velocity in dual quaternion solution with the compensation algorithm of the harmful acceleration in traditional velocity solution, the accuracy advantage of the gravitational velocity based on dual quaternion is addressed. In view of the idea of the attitude and velocity algorithm based on dual quaternion, an improved navigation algorithm is proposed, which is as much as the rotation vector algorithm in computational complexity. According to this method, the attitude quaternion does not require compensating as the navigation frame rotates. In order to verify the correctness of the theoretical analysis, simulations are carried out utilizing the software, and the simulation results show that the accuracy of the improved algorithm is approximately equal to the dual quaternion algorithm.
文摘Wiener amalgam spaces are a class of function spaces where the function’s local and global behavior can be easily distinguished. These spaces are ex-tensively used in Harmonic analysis that originated in the work of Wiener. In this paper: we first introduce a two-variable exponent amalgam space (L<sup>q</sup><sup>()</sup>,l<sup>p</sup><sup>()</sup>)(Ω). Secondly, we investigate some basic properties of these spaces, and finally, we study their dual.
基金supported by the National Oil and Gas Major Projects(No.2011ZX05020-002)
文摘In this paper, responses of a new dual-induction resistivity logging-while-drilling （LWD） tool in 3D inhomogeneous formation models are simulated by the vectorfinite element method （VFEM）, the influences of the borehole, invaded zone, surroundingstrata, and tool eccentricity are analyzed, and calibration loop parameters and calibrationcoefficients of the LWD tool are discussed. The results show that the tool has a greater depthof investigation than that of the existing electromagnetic propagation LWD tools and is moresensitive to azimuthal conductivity. Both deep and medium induction responses have linearrelationships with the formation conductivity, considering optimal calibration loop parametersand calibration coefficients. Due to the different depths of investigation and resolution, deepinduction and medium induction are affected differently by the formation model parameters,thereby having different correction factors. The simulation results can provide theoreticalreferences for the research and interpretation of the dual-induction resistivity LWD tools.
