Hua's estimate is obtained for some Dirichlet character sums of rational functions.

This paper proves the existence of a new family of nontrivial homotopy elements in the stable homotopy of spheres which is of degree 2(p- 1)(sp²+(s+1)p+(s-2))-6 and is represented by b₀ h₁ γ_s in the E ^{(s+ 3), *} ₂ -term of the Adams spectral sequence,where p≥7 is an odd prime, 3≤s<p.

In this paper the analysis of the plasma shape equilibrium and fitt ing (EFIT) control arithmetic is described. The physics concept ion of EFIT arithmetic applied in Tokamak is introduced firstly. Then the flux function is described using Grad-Shafranov equilibrium equation in MHD. Finally, the main flow chart and funct ions group of this arithmetic are introduced, especially fitting arithmetic.

Speckle reducing anisotropic diffusion (SRAD) algorithm still has disadvantages. Firstly , the diffusion coefficient is not a convex function , which leads to an unstable solution. At the second point , SRAD is anisotropy even in the homogeneous areas , this will depress the ability of reducing speckle. In this paper we systematically an- alyze the problem mentioned above and propose a new diffusion coefficient based on the edge-preserving regulariza- tion method. We also construct a new anisotropic diffusion module , R-SRAD , which is more reasonable. The ex- perimental results show that our R-SRAD is more effective in comparison with the SRAD.

This paper analyzes the internal and external security features of IPv6, based on which the IPv6 security vulnerabilities are pointed out. The security attacks aiming at internal data structure and aiming at mobility, and the challenge to the current network security architecture, are discussed. For these security problems, their originations and features are described in detail. Then, this paper proposes technical solut ions to solve these problems separately

This paper deals with a class of large-scale systems with input delay and parametric uncertainties. The stability of this class of systems is considered. Using the so-called reduction method, all subsystems are transferred. Then, a feedback controller design technique for decentralized stabilizat ion is provided. Unlike existing results, the controller ut ilizes the information on the size of the delay and employs the feedback of the past control history as well as the current state; thus, performance is improved and conservativeness is reduced significantly. With Lyapunov′s direct method, a sufficient condit ion for the stability is derived in terms of linear matrix inequalities (LMIs) . Hence, all results can be solved efficient ly. Finally, a numerical example is provided to illustrate the proposed method.

According to radar target' s width feature , an inverse Chirp-z transformation method was put forward for the target' s detection window .It aimed to obtain high precision range image via increasing sampling resolution . Compared with traditional inverse Fourier transform method , which used zeros padding method , at the same condition of sampling resolution , the method proposed could decrease the calculation load .Simulation corresponded with theoretical analysis , and the results proved it was effective.

Based on the theory of multidimensional continued fraction, this paper verifies by example that neither JPA nor MJPA can guarantee opt imal rational approximation for mult-i formal Laurent series in general

OCSP Server is a key component of PKI .The response interval is influenced mainly by the server' s signature speed .In this article , an implementation of OCSP server is brought forward , which applies short-period , temporary RSA key to sign response message .In addition to satisfying security requirement , the speed of response is improved greatly

An algorithm based on transductive inference learning used for estimating values of functions .It does not use any predefined modules and parameters and estimates the values of functions directly .It is the biggest difference between traditional algorithms for estimating values of functions .But the most trouble is how to implement the algorithm.Our paper discusses a transductive inference based multi dimensional Neville algorithm for estimating values of functions .By the use of projecting methods , we get multi dimensional Neville algorithm for estimating values of functions .The results of experiments show our algorithm not only successfully overcomes Runge problem of traditional algorithm for estimating values of functions , but also has a very nice function values estimating results and can be used in multi dimensional circumstance .We also provide some discussion of the selection of kernel parameters .Our algorithm shows a brand new way in transductive inference field .

Textual data on the container is very important in the management of container .This paper uses down-toup thread of thought to find the text of container , and uses Hough Transform to confirm the letter block of container number.In the operation , the paper mends the equation , array of parameter etc .of Hough Transform and introduces the “nearness” into the algorithm according of block instead of point .In applications , it can reduce calculation and the space needed effectively

This paper presents two ID-based analogous ring signature schemes in which any user can sign on behalf of the set to which he belongs , but a verifier can't tell which member actually produced the digital signature .For an attacker , even if he had known all the secret signing keys , he couldnt have identified the actual signer .In this paper our proposed schemes realize unconditional anonymity .

We propose a receipt-free multiple items auction protocol using verifiable secret sharing and analyze this protocol based on the basic requirements of electronic auction protocol .Compared with the protocol that fits for single item auction , the protocol that fits for multiple items auction can be used in more areas .The receipt-free property of our protocol can give more protection to the bidders privacy

We measured the absorption spectra of chiral compounds of D,L,DL-tyrosine and D,L,DL-tryptophan by terahertz time-domain spectroscopy over the frequency range from 0. 1 THz to 2. 0 THz at room temperature. We found six amino acids showed distinct fingerprint spectra in the THz region. Our result also suggests that we can identify the enantiomers and their racemic compounds by measuring the absorption spectra in the THz region

A group signature allows a group member to sign messages anonymously on behalf of the group .However , in the case of a dispute , the identity of a signatures originator can be revealed by the group manager .This work allows the group manager to let several proxies , such as an identity revocation committee, share the ability of revealing the identity of the group member by sharing the members certificate

Basic structures of satellite power system are introduced. Based on the concept of virtual instrument, a satellite power test and evaluation system is developed. A simple model of unregulated bus satellite power system is tested. Test result is given for verifying the function of this test and evaluation system

Various super-hydrophobic nanoscale interfacial materials have been prepared and investigated , including : the synthesis of super-hydrophobic surface from hydrophobic material without any fluorinated compounds modification ,the creation of super-hydrophobic surface from amphiphilic polymer , the formation of nanostructured carbon films in a wide range of pH values , and the fabrication of a novel coating mesh filmwith both super-hydrophobic and super-oleophilic properties for the separation of oil and water.

Butenolides are a class of compounds of current interest due to their occurrence in natural products and the potential broad range of biological activities of natural and unnatural products. During the course of our study on transition metal-catalyzed cyclization reaction of 2 ,3-allenoic acids , we have developed palladium (Ⅱ)-catalyzed reaction of 2 , 3-allenoic acids with (ω-1 )-alkenyl halides to introduce sp32hybridized carbon atoms at the βposition of butenolides. In this reaction , we observed a new Pd (Ⅱ)2catalytic cycle which combines carbopalladation with repeated dehydropalladationP hydropalladation-β-dehalopalladation. Furthermore , a new area of oxidative cyclization-dimerization reaction of two functionalized allenes has been established. In this area , we have developed oxidative dimeric cyclization reaction of 2 , 3-allenoic acids to afford bi-butenolides. Moreover , oxidative cyclization-dimerization reaction of 2 ,3-allenoic acids with 1 ,2-allenyl ketones was also established to furnish interesting compounds with two different cycles in a single step.

Nitrobenzene , 42nitrophenol , quinoline and reactive brilliant orange K-R were chosen as the model compounds to study the degradation of organic pollutants by homogeneous advanced oxidation process , UV/H₂O₂, and heterogeneous advanced oxidation process , photoelectrocatalytic oxidation. It was found that hydroxyl radical generated by the decomposition of hydrogen peroxide under the UV irradiation was the direct reason that caused organic pollutants to degrade. The degradation of organic pollutants by UVPH-O2 process accorded well with the pseudo-first order kinetics. The effects of pH values , oxidant concentration and anion ions such as HCO^- ₃, NO^- ₃ and Cl ^- have been studied systematically. The degradation pathways of organic pollutants by UV/H₂O₂ were discussed. A newly- designed continuous flow three-dimensional electrode-packed bed photocatalytic reactor was built up to investigate the photoelectrocatalytic degradation performance of organic pollutants. The results showed that application of the three-dimensional electrode could improve the removal efficiencies of photocatalytic process significantly. The applied cell voltage and the presence of NaCl would increase the removal efficiency of organic pollutants dramatically. And the effects of pH values , airflow and oxygen on the photoelectrocatalytic degradation of organic pollutants were also studied.