Suppose that the outer mapping function of domain D has its second continuous derivatives. In this paper, the order proximation by (0,1,…,q) Hermite-Fejer interpolating polynomials at nearly Fejer's points of fun...Suppose that the outer mapping function of domain D has its second continuous derivatives. In this paper, the order proximation by (0,1,…,q) Hermite-Fejer interpolating polynomials at nearly Fejer's points of function of class A(D) are presented. Moreover in general the order of approximation is sharp.展开更多
In this paper, the MKdV equation with nonuniformity terms is discussed. It relates to the eigenvalue problem The evolution laws of scattering data for (1. 3) are derived and the inverse scattering solutions-soliton so...In this paper, the MKdV equation with nonuniformity terms is discussed. It relates to the eigenvalue problem The evolution laws of scattering data for (1. 3) are derived and the inverse scattering solutions-soliton solutions of eq(1. 1) are obtained. In the end of the paper, the single soliton solution and Double soliton solution are discussed. The result extends the situation in [1].展开更多
In is paper, a necessary and sufficient condition of regularity of (0,2)_interpolation on the zeros of the Lascenov Polynomials R (α,β) n(x)(α,β>-1) in a manageable form is estabished. Meanwhile, the exp...In is paper, a necessary and sufficient condition of regularity of (0,2)_interpolation on the zeros of the Lascenov Polynomials R (α,β) n(x)(α,β>-1) in a manageable form is estabished. Meanwhile, the explicit representation of the fundamental polynomials, when they exist, is given.展开更多
In this paper,a new third type S.N.Bernstein interpolation polynomial H n(f;x,r) with zeros of the Chebyshev ploynomial of the second kind is constructed. H n(f;x,r) converge uniformly on [-1,1] for any continuous fun...In this paper,a new third type S.N.Bernstein interpolation polynomial H n(f;x,r) with zeros of the Chebyshev ploynomial of the second kind is constructed. H n(f;x,r) converge uniformly on [-1,1] for any continuous function f(x) . The convergence order is the best order if \{f(x)∈C j[-1,1],\}0jr, where r is an odd natural number.展开更多
The correct answer of Pal's interpolation polynomial problem has been given in this paper ,especially, the explict form of this polynomial has been obtained.
Let f（z） be a meromorphic function and ψ be the differential polynomial of f which satisfies the condition of -↑N（r, f）＋-↑N （r, 1/f） = S（r, f）. We obtain several results about the zero point of the ψ and ...Let f（z） be a meromorphic function and ψ be the differential polynomial of f which satisfies the condition of -↑N（r, f）＋-↑N （r, 1/f） = S（r, f）. We obtain several results about the zero point of the ψ and those results extend and improve the results of Yang and Yi in this paper.展开更多
Based on engineering practices of Wuyang Coal Mine, we carried out X-ray diffract researches on No. 3 coal; and the rocks of its roof and floor by XRD meter, and simulated the interactive effect of the surrounding roc...Based on engineering practices of Wuyang Coal Mine, we carried out X-ray diffract researches on No. 3 coal; and the rocks of its roof and floor by XRD meter, and simulated the interactive effect of the surrounding rock deformation by FLAC2DS.0 numerical simulation software under the condition of different tunneling method of multimine roadway in parallel. The internal structures of the surrounding rocks of 76 belt roadway were monitored by borehole observation instruments： and then, we analyzed the reason of fhilure and deformation of surrounding rocks of several rise entry, and proposed the technical mea- sures for controlling interactive effect of several rise entry surrounding rock deformation at last. For the thickness seam rise roadway, two conclusions were drawn： one is that the co-deformation among roadway groups mainly reflect on that both shear failure and deformation in coal pillar among roadways have decreased the width of pillar core region and clamping action of coal pillar to roof strata, increased the actual span of roof strata, intensified the flexural failure of roof strata and prized the bed separation of roof deep rock strata. The other conclusion is that the factors controlling the interactive deformation among roadways is obvious when appropriate re-adjustment in construction sequence of the tunneling of multimine parallel roadways because the construction sequence among roadways also has great effects on deformation of the surrounding rock in roadway.展开更多
This paper discover that when disturbance occurs on Chebyshev knot, so long as the disturbance amount does not exceed , then the course of the quasi Hemite-Fejer interpolation on the disturbed Chebyshev knot still ke...This paper discover that when disturbance occurs on Chebyshev knot, so long as the disturbance amount does not exceed , then the course of the quasi Hemite-Fejer interpolation on the disturbed Chebyshev knot still keeps the converge uniformly properlies for any continuous function on . Besides,the paper estimates the convergance rate.展开更多
The general interpolation mentioned in this a rticle provides an effective way for reducing the amount of calculation of direc t optimal exploration. It has been testified by real case calculations that the interpolat...The general interpolation mentioned in this a rticle provides an effective way for reducing the amount of calculation of direc t optimal exploration. It has been testified by real case calculations that the interpolation is not only reliable but also can save the amount of calculation by nearly 36%. Large amount of calculation and lacking strict theoretical bas is has been th e two disadvantage of direct method by new. If this defect is not overcome, they will not only s eriously affect the application of this method, but also hinder its further rese arch. Based on sufficient calculation practice, this article has made a primary discussion about the theory and method of reducing the amount of calculation, an d has achieved some satisfactory results.展开更多
The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we prese...The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we presented a Trusted Platform Module （TPM）-based threshold ring signature schen. Employing a reliable secret Share Distribution Center （SDC）, the proposed approach can authenticate the TPM-based identity rank of members of the ring but not track a specific member＇s identity. A subset including t members with the same identity rank is built. With the signing cooperation of t members of the subset, the ring signature based on Chinese remainder theorem is generated. We proved the anonymity and unforgeability of the proposed scheme and compared it with the threshold ring signature based on Lagrange interpolation polynomial. Our scheme is relatively simpler to calculate.展开更多
In this paper, we study the quantic Diophantine equation （1） with elementary geometry method, therefore all positive integer solutions of the equation （1） are obtained, and existence of Heron triangle whose median...In this paper, we study the quantic Diophantine equation （1） with elementary geometry method, therefore all positive integer solutions of the equation （1） are obtained, and existence of Heron triangle whose median lengths are all positive integer are discussed here.展开更多
文摘Suppose that the outer mapping function of domain D has its second continuous derivatives. In this paper, the order proximation by (0,1,…,q) Hermite-Fejer interpolating polynomials at nearly Fejer's points of function of class A(D) are presented. Moreover in general the order of approximation is sharp.
文摘In this paper, the MKdV equation with nonuniformity terms is discussed. It relates to the eigenvalue problem The evolution laws of scattering data for (1. 3) are derived and the inverse scattering solutions-soliton solutions of eq(1. 1) are obtained. In the end of the paper, the single soliton solution and Double soliton solution are discussed. The result extends the situation in [1].
文摘In is paper, a necessary and sufficient condition of regularity of (0,2)_interpolation on the zeros of the Lascenov Polynomials R (α,β) n(x)(α,β>-1) in a manageable form is estabished. Meanwhile, the explicit representation of the fundamental polynomials, when they exist, is given.
文摘In this paper,a new third type S.N.Bernstein interpolation polynomial H n(f;x,r) with zeros of the Chebyshev ploynomial of the second kind is constructed. H n(f;x,r) converge uniformly on [-1,1] for any continuous function f(x) . The convergence order is the best order if \{f(x)∈C j[-1,1],\}0jr, where r is an odd natural number.
文摘The correct answer of Pal's interpolation polynomial problem has been given in this paper ,especially, the explict form of this polynomial has been obtained.
基金Supported by the Natural Science Fundation of Henan Proivince(0211050200)
文摘Let f（z） be a meromorphic function and ψ be the differential polynomial of f which satisfies the condition of -↑N（r, f）＋-↑N （r, 1/f） = S（r, f）. We obtain several results about the zero point of the ψ and those results extend and improve the results of Yang and Yi in this paper.
基金provided by the National Natural Science Foundation of China (No. 50674046)the Open Foundation of Hunan Provincial Key Laboratory of Safe Mining Techniques of Coal Mines of China (No. 200803)
文摘Based on engineering practices of Wuyang Coal Mine, we carried out X-ray diffract researches on No. 3 coal; and the rocks of its roof and floor by XRD meter, and simulated the interactive effect of the surrounding rock deformation by FLAC2DS.0 numerical simulation software under the condition of different tunneling method of multimine roadway in parallel. The internal structures of the surrounding rocks of 76 belt roadway were monitored by borehole observation instruments： and then, we analyzed the reason of fhilure and deformation of surrounding rocks of several rise entry, and proposed the technical mea- sures for controlling interactive effect of several rise entry surrounding rock deformation at last. For the thickness seam rise roadway, two conclusions were drawn： one is that the co-deformation among roadway groups mainly reflect on that both shear failure and deformation in coal pillar among roadways have decreased the width of pillar core region and clamping action of coal pillar to roof strata, increased the actual span of roof strata, intensified the flexural failure of roof strata and prized the bed separation of roof deep rock strata. The other conclusion is that the factors controlling the interactive deformation among roadways is obvious when appropriate re-adjustment in construction sequence of the tunneling of multimine parallel roadways because the construction sequence among roadways also has great effects on deformation of the surrounding rock in roadway.
文摘This paper discover that when disturbance occurs on Chebyshev knot, so long as the disturbance amount does not exceed , then the course of the quasi Hemite-Fejer interpolation on the disturbed Chebyshev knot still keeps the converge uniformly properlies for any continuous function on . Besides,the paper estimates the convergance rate.
文摘The general interpolation mentioned in this a rticle provides an effective way for reducing the amount of calculation of direc t optimal exploration. It has been testified by real case calculations that the interpolation is not only reliable but also can save the amount of calculation by nearly 36%. Large amount of calculation and lacking strict theoretical bas is has been th e two disadvantage of direct method by new. If this defect is not overcome, they will not only s eriously affect the application of this method, but also hinder its further rese arch. Based on sufficient calculation practice, this article has made a primary discussion about the theory and method of reducing the amount of calculation, an d has achieved some satisfactory results.
基金Acknowledgements This work was supported by the National Basic Research Program of China under Crant No. 2007CB311100, Core Electronic Devices, High-end General Purpose Chips and Basic Software Products in China under Oant No. 2010ZX01037-001-001 Ph.D. Start-up Fund of Beijing University of Technology under Grants No. X0007211201101 and No. X00700054R1764, National Soft Science Research Program under Crant No. 2010GXQ5D317 and the National Natural Science Foundation of China underGrant No. 91018008 ,Opening Project of Key Lab of Information Network Security, Ministry of Public Security under Crant No. C11610, Opening Project of State Key Laboratory of Information Security （Institute of Sottware, Chinese Academy of Sciences） under Cxant No. 04-04-1.
文摘The conventional ring signature schemes cannot address the scenario where the rank of members of the ring needs to be distinguished, for example, in electronically commerce application. To solve this problem, we presented a Trusted Platform Module （TPM）-based threshold ring signature schen. Employing a reliable secret Share Distribution Center （SDC）, the proposed approach can authenticate the TPM-based identity rank of members of the ring but not track a specific member＇s identity. A subset including t members with the same identity rank is built. With the signing cooperation of t members of the subset, the ring signature based on Chinese remainder theorem is generated. We proved the anonymity and unforgeability of the proposed scheme and compared it with the threshold ring signature based on Lagrange interpolation polynomial. Our scheme is relatively simpler to calculate.
基金Foundation item: Supported by the Natural Science Foundation of China(10271104)Supported by the Natural Science Foundation of Education Department of Sichuan Province(2004B25)
文摘In this paper, we study the quantic Diophantine equation （1） with elementary geometry method, therefore all positive integer solutions of the equation （1） are obtained, and existence of Heron triangle whose median lengths are all positive integer are discussed here.
文摘A new dispersive relation is found and a half-pow tormulas for the generalize Miodek equation under the deeaying conditions at infinity are obtained.
