Based on the constructivism, using the College English（new edition） CD-ROMs for classroom teaching as main media, this paper explores the feasibility of the classroom teaching mode of appropriate combination of trad...Based on the constructivism, using the College English（new edition） CD-ROMs for classroom teaching as main media, this paper explores the feasibility of the classroom teaching mode of appropriate combination of traditional methods with the multimedia overhead projector. The new teaching mode proves to be successful in that it has greatly improved the students＇ ability to use English in an all-round way and has obvious advantages over the only traditional method.展开更多
For a portable structured light system,it must be easy to use and fiexible.So the inconvenient and expensive equipment for calibration such as two or three orthogonal planes or extra fixed equipment should not be cons...For a portable structured light system,it must be easy to use and fiexible.So the inconvenient and expensive equipment for calibration such as two or three orthogonal planes or extra fixed equipment should not be considered.For the purpose of fast 3D acquisition,the projection matrices of a portable structured light system should be estimated.This paper proposes a flexible calibration method to meet the requirements of the portable structured light system through a surface plane.A calibration board is attached to the surface plane,and a reference pattern is also projected by an LCD projector onto the surface plane.The camera observes the surface plane at a few different positions.Then,the world-to-image point pairs for the camera and projector are obtained based on the cross ratio and epipolar geometry,and the system is thus calibrated.The experiments conducted for the proposed calibration method demonstrate its accuracy and robustness.展开更多
The invertibility of combinations of two orthogonal projectors aP ＋ bQ - cPQ - dQP is researched by using the CSdecomposition of matrices and properties of orthogonal projectors. The Moore-enrose inverse of the combi...The invertibility of combinations of two orthogonal projectors aP ＋ bQ - cPQ - dQP is researched by using the CSdecomposition of matrices and properties of orthogonal projectors. The Moore-enrose inverse of the combinations is presented under some special conditions.展开更多
This paper establishes some new equalities and inequalities for the null and column spaces of combinations of two projectors P and Q. Some new necessary and sufficient conditions for P ± Q to be invertible are gi...This paper establishes some new equalities and inequalities for the null and column spaces of combinations of two projectors P and Q. Some new necessary and sufficient conditions for P ± Q to be invertible are given by the structure of null and column space of some combinations of P and Q. In addition, the inclusion relation of Af（PQ ＋ QP） and N（PQ - QP） is discussed and necessary and sufficient conditions for them to be equal are also studied.展开更多
This paper concerns the optimization problem for multilayered ultrasonic transducer with active porous piezoelectric layer. The dependences of the effective moduli for porous piezoelectric material on porosity have be...This paper concerns the optimization problem for multilayered ultrasonic transducer with active porous piezoelectric layer. The dependences of the effective moduli for porous piezoelectric material on porosity have been previously obtained and allowed to decrease the number of design variables. The multiobjective optimization problem based on the Pareto-frontier calculation has been solved using the live-link of finite-element (FE) package Comsol Multiphysics with MATLAB.展开更多
A novel direction of arrival （DOA） estimation method is proposed when uncorrelated, correlated, and coherent sources coexist under color noise field. The uncorrelated and correlated sources are firstly estimated usi...A novel direction of arrival （DOA） estimation method is proposed when uncorrelated, correlated, and coherent sources coexist under color noise field. The uncorrelated and correlated sources are firstly estimated using the conventional spatial spectrum estimation method, then the noise and uncorrelated sources in Toeplitz structure are eliminated using differencing, finally by exploiting the property of oblique projection, the contributions of correlated sources are then eliminated from the covariance matrix and only the coherent sources remain. So the coherent sources can be estimated by the technique of modified spatial smoothing. The number of sources resolved by this approach can exceed the number of array elements without repeatedly estimating correlated sources. Simulation results demonstrate the effectiveness and efficiency of our proposed method.展开更多
We give in this note some expansion formulas for the orthogonal projectors onto the range of the row block matrix [ A, B ], and use the expansion formulas to examine relations among the orthogonal projectors onto the ...We give in this note some expansion formulas for the orthogonal projectors onto the range of the row block matrix [ A, B ], and use the expansion formulas to examine relations among the orthogonal projectors onto the ranges of A, B and [A, B]. In particular, we present some identifying conditions for a pair of orthogonal projectors of the same size to commute.展开更多
The radial distortion of projector magnetic lenses with field distributions in the form of inverse law has been theoretically studied using analytical method. The radial distortion coefficient can be expressed explici...The radial distortion of projector magnetic lenses with field distributions in the form of inverse law has been theoretically studied using analytical method. The radial distortion coefficient can be expressed explicitly in term of Bessel function of fraction order Therefore, analytical formulae for radial distortion coefficient of each projector magnetic lenses in this article have derived to computation these coefficients. Also, the dimensionless quality factors for radial distortion are calculated to estimate the performance of image in electron microscope. The results of calculations show that the increasing of order of multipole （n） leads to increase the radial distortion coefficient.展开更多
In this paper, some conditions for the nonsingularity and group inverses of linear combinations of generalized and hypergeneralized projectors are established. Moreover, some formulae for the inverses and group invers...In this paper, some conditions for the nonsingularity and group inverses of linear combinations of generalized and hypergeneralized projectors are established. Moreover, some formulae for the inverses and group inverses of them are derived. The work of this paper extends some previous results.展开更多
In this paper, based on the second-order sufficient condition, the Clarke's generalized Jacobian of the Karush-Kuhn-Tucker system of the second-order cone constrained variational inequality (SOCCVI) problem that i...In this paper, based on the second-order sufficient condition, the Clarke's generalized Jacobian of the Karush-Kuhn-Tucker system of the second-order cone constrained variational inequality (SOCCVI) problem that is nonsingular is proved by us. A modified Newton method with Armijo line search is presented. Three illustrative examples are given to show how the modified Newton method works.展开更多
文摘Based on the constructivism, using the College English（new edition） CD-ROMs for classroom teaching as main media, this paper explores the feasibility of the classroom teaching mode of appropriate combination of traditional methods with the multimedia overhead projector. The new teaching mode proves to be successful in that it has greatly improved the students＇ ability to use English in an all-round way and has obvious advantages over the only traditional method.
基金Supported by National Key Technology Research and Development Program of China(2006BAK31B04)National High Technology Research and Development Program of China(863 Program)(2007AA01Z341)
文摘For a portable structured light system,it must be easy to use and fiexible.So the inconvenient and expensive equipment for calibration such as two or three orthogonal planes or extra fixed equipment should not be considered.For the purpose of fast 3D acquisition,the projection matrices of a portable structured light system should be estimated.This paper proposes a flexible calibration method to meet the requirements of the portable structured light system through a surface plane.A calibration board is attached to the surface plane,and a reference pattern is also projected by an LCD projector onto the surface plane.The camera observes the surface plane at a few different positions.Then,the world-to-image point pairs for the camera and projector are obtained based on the cross ratio and epipolar geometry,and the system is thus calibrated.The experiments conducted for the proposed calibration method demonstrate its accuracy and robustness.
基金Supported by the Hubei Normal University Research Grant (2008D54)
文摘The invertibility of combinations of two orthogonal projectors aP ＋ bQ - cPQ - dQP is researched by using the CSdecomposition of matrices and properties of orthogonal projectors. The Moore-enrose inverse of the combinations is presented under some special conditions.
基金Supported by the Tianyuan of National Natural Science Foundation of China(Grant No.70871050)the Youth Project of Education Department of Hubei Province(Grant No.B20122203)
文摘This paper establishes some new equalities and inequalities for the null and column spaces of combinations of two projectors P and Q. Some new necessary and sufficient conditions for P ± Q to be invertible are given by the structure of null and column space of some combinations of P and Q. In addition, the inclusion relation of Af（PQ ＋ QP） and N（PQ - QP） is discussed and necessary and sufficient conditions for them to be equal are also studied.
文摘This paper concerns the optimization problem for multilayered ultrasonic transducer with active porous piezoelectric layer. The dependences of the effective moduli for porous piezoelectric material on porosity have been previously obtained and allowed to decrease the number of design variables. The multiobjective optimization problem based on the Pareto-frontier calculation has been solved using the live-link of finite-element (FE) package Comsol Multiphysics with MATLAB.
基金supported by the National Natural Science Foundation of China(60601016).
文摘A novel direction of arrival （DOA） estimation method is proposed when uncorrelated, correlated, and coherent sources coexist under color noise field. The uncorrelated and correlated sources are firstly estimated using the conventional spatial spectrum estimation method, then the noise and uncorrelated sources in Toeplitz structure are eliminated using differencing, finally by exploiting the property of oblique projection, the contributions of correlated sources are then eliminated from the covariance matrix and only the coherent sources remain. So the coherent sources can be estimated by the technique of modified spatial smoothing. The number of sources resolved by this approach can exceed the number of array elements without repeatedly estimating correlated sources. Simulation results demonstrate the effectiveness and efficiency of our proposed method.
基金Supported by National Natural Science Foundation of China(Grant No.11271384)
文摘We give in this note some expansion formulas for the orthogonal projectors onto the range of the row block matrix [ A, B ], and use the expansion formulas to examine relations among the orthogonal projectors onto the ranges of A, B and [A, B]. In particular, we present some identifying conditions for a pair of orthogonal projectors of the same size to commute.
文摘The radial distortion of projector magnetic lenses with field distributions in the form of inverse law has been theoretically studied using analytical method. The radial distortion coefficient can be expressed explicitly in term of Bessel function of fraction order Therefore, analytical formulae for radial distortion coefficient of each projector magnetic lenses in this article have derived to computation these coefficients. Also, the dimensionless quality factors for radial distortion are calculated to estimate the performance of image in electron microscope. The results of calculations show that the increasing of order of multipole （n） leads to increase the radial distortion coefficient.
基金Supported by the National Natural Science Foundation of China(11271105)the Key Research Project of Educational Department of Hubei Province(D20122202)Youth Research Project of Educational Department of Hubei Province(B20122203)
文摘In this paper, some conditions for the nonsingularity and group inverses of linear combinations of generalized and hypergeneralized projectors are established. Moreover, some formulae for the inverses and group inverses of them are derived. The work of this paper extends some previous results.
文摘In this paper, based on the second-order sufficient condition, the Clarke's generalized Jacobian of the Karush-Kuhn-Tucker system of the second-order cone constrained variational inequality (SOCCVI) problem that is nonsingular is proved by us. A modified Newton method with Armijo line search is presented. Three illustrative examples are given to show how the modified Newton method works.
