In this article, we wish to expand on some of the results obtained from the first article entitled Projection Theory. We have already established that one-parameter projection operators can be constructed from the uni...
supported by Chinese National Natural Science Foundation under Grant Nos.11601039,11671169,11501051;the Open Fund Key Laboratory of Symbolic Computation and Knowledge Engineering(Ministry of Education)under Grant No.93K172015K06;the Education Department of Jilin Province,“13th Five-Year”Science and Technology Project under Grant No.JJKH20170618KJ
This paper studies error formulas for Lagrange projectors determined by Cartesian sets. Cartesian sets are properly subgrids of tensor product grids. Given interpolated functions with all order continuous partial deri...
In this paper, we obtain some new characterizations of the range symmetric matrices in the Minkowski Space M by using the Block representation of the matrices. These characterizations are used to establish some result...
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)
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 ...
Supported by the Ministry of Higher Education of Malaysia under the FRGS grant FRGS/1/2011/ST/UNIM/03/1。
Kochen-Specker(KS)theorem denies the possibility for the noncontextual hidden variable theories to reproduce the predictions of quantum mechanics.A set of projection operators(projectors)and bases used to show the imp...
Supported by the Ministry of Higher Education of Malaysia under the Fundamental Research Grant Scheme(FRGS/1/2011/ST/UNIM/03/1).
The Kochen–Specker theorem states that noncontextual hidden variable theories are incompatible with quantum mechanics.We provide a state-independent proof of the Kochen–Specker theorem using the smallest number of p...
Employing the general ordering theorem(GOT),operational methods and incomplete 2-D Hermite polynomials,we derive the t-ordered expansion of Fock space projectors.Using the result,the general ordered form of the cohere...
This project is supported by the National Natural Science Foundation of China.
This paper presents the limiting expression for the gen calized inverse A T.S(2) and itscorresgonding projectors Since comonon imnortors inverses,such as and AT.S(2) etc are all generalized in e e AT.S(2) In fact,we g...