摘要：Two classes of superconvergence points for L 2 projection u\-n in n degree finite elements on uniform grids are shown by element analysis method. Superconvergence points of u n are n+1 order Gauss point G n+1 for odd d≥1 (so the endpoint of each element is of superconvergent), and n+1 order pointset Z n+1 for even n ≥2 (which includes the endpoints and midpoint), respectively. Symmetry point is only an important part of them.

摘要：Let A be a j x d (0,1) matrix. It is known that if j = 2k - 1 is odd, then det(AAT) ≤ (j+1)((j+1)d/4j)j; if j is even, then det(AAT) ≤ (j+1)((j+2)d/4(j+1))j. A is called a regular D-optimal matrix if it satisfies the equality of the above bounds. In this note, it is proved that if j = 2k - 1 is odd, then A is a regular D-optimal matrix if and only if A is the adjacent matrix of a (2k - 1, k, (j + l)d/4j)-BIBD; if j = 2k is even, then A is a regular D-optimal matrix if and only if A can be obtained from the adjacent matrix B of a (2k + 1,k + 1,(j + 2)d/4(j +1))-BIBD by deleting any one row from B. Three 21 x 42 regular D-optimal matrices, which were unknown in [11], are also provided.

摘要：In this paper three Banach spaces A(ф),A(ф)and A~1(ф)of functions holomor- phic in the unit ball B of ■~n are *** exhibit bounded projections from C(B)onto A(ф),from L~1(B)onto A~1(ф),and from L~∞(B)onto A(ф).Using these projections,we show that A(ф)~*≌A~1(ф)and A~1(ф)~*≌A(ф).

摘要：We construct a holographic p-wave superconductor model in the background of quintessence AdS black hole with an SU（2） Yang-Mills gauge field and then probe the effects of quintessence on the holographic p-wave superconduc- tor. We investigate the relation between the critical temperature and the state parameter of quintessence, and present the numerical results for electric conductivity. It is shown that the condensation of the vector field becomes harder as the absolute value of the state parameter increases. Unlike the scalar condensate in the s-wave model, the condensation of the vector field in p-wave model can occur in the total value range of the state parameter wq of quintessence. These results could help us know more about holographic superconductor and dark energy.

摘要：We construct a family of d-dimensional Reissner–Nordstrom-AdS black holes inspired by noncommutative geometry. The density distribution of the gravitational source is determined by the dimension of space, the minimum length of spacetime l, and other parameters（e.g., n relating to the central matter density）. The curvature of the center and some thermodynamic properties of these black holes are investigated. We find that the center of the source is nonsingular for n 0（under certain conditions it is also nonsingular for-2 n 〈 0）, and the properties at the event horizon, including the Hawking temperature, entropy, and heat capacity, are regular for n 〉-2. Due to the presence of l, there is an exponentially small correction to the usual entropy.

摘要：We study the thermodynamics of a charged AdS black hole in the special f(R)correction with the constant Ricci scalar *** results show that the f(R)correction influences the Gibbs free energy and the phase transition of *** ratioρc occurring at the critical point increases monotonically with the derivative term f'(R0).We also disclose that the critical exponents are the same as those of the liquid-gas phase transition in the van der Waals model,which does not depend on the f(R)correction considered here.

摘要：We investigate thermodynamics of the (2+1)-dimensional AdS black hole in grand canonical ensemble. In the York's formalism, the black hole is enclosed in a "box" with a finite radius and the boundary temperature, radius and potential are fixed in the grand canonical ensemble. We investigate the thermodynamical properties such as action,entropy, temperature, etc. We only find the stable solution for (2+1)-dimensional AdS black hole and do not find the instanton with the negative heat capacity.

摘要：In this paper the ultra convergence of the derivative for odd-degree rectangular elements is addressed. A new, discrete least-squares patch recovery technique is proposed to postprocess the solution derivatives. Such recovered derivatives are shown to possess ultra convergence by using projection type interpolation.

摘要：The photocatalytic degradation kinetics of carbofuran was optimized by central composite design based on response surface methodology for the first time. Three variables, TiO2 concentration, initial pH value and the concentration of carbofuran, were selected to determine the dependence of degradation efficiencies on independent variables. Response surface methodology modeling results indicated that the degradation efficiency of carbofuran was highly affected by the initial pH value and the concentration of carbofuran. Then nine degradation intermediates were detected by HPLC/MS/MS. The Frontier Electron Densities of carbofuran were calculated to predict the active sites on carbofuran attacked by hydroxyl radicals and photoholes. Point charges were used to elucidate the chemisorption pattern on TiO2 catalysts during the photocatalytic process. By combining the experimental results and calculation data, the photocatalytic degradation pathways of carbofuran were proposed, including the addition of hydroxyl radicals and the cleavage of the carbamate side chain.

摘要：With the persistent efforts of the emerging concepts as well as new types of decoration materials, modem interior design concepts usher in a new round of innovation. Facing the impact of the new innovative ideas, the Chinese traditional culture and art urgently need a way to combine efficient with the modern design concept.