Abstract:
Firstly we briefly review the three conceptual domains of Sweetser (1990/2002), “content domain”, “epistemic domain”, and “speech-act domain” (Sweetserian trichotomy), and Shen (2003), the corresponding A(cting), K(nowing), U(ttering) (Shenian trichotomy)—our KAU, finding that they and their followers ignored largely the necessity to distinguish between these three domains in terms of the speaker, the listener and the other. Then, we clarify this issue and on this basis, analyze disadvantages of the study of three conceptual domains at the lexical level, thinking that previous studies failed to highlight the importance of syntactic and pragmatic factors to lexical level and thus did not rise to the pragma-syntactic level. On account of this, we put forward the “Lexico-Pragma-Syntactic Hypothesis” on the three conceptual domains, holding that the three of them should be studied by encompassing the three linguistic levels with pragmatics playing a prevailing role.

Abstract:
This paper proposes a new method for designing a developable surface by constructing a surface pencil passing through a given curve, which is quite in accord with the practice in industry design and manufacture. By utilizing the Frenet trihedron frame, we derive the necessary and sufficient conditions to construct a developable surface through a given curve. Considering the requirements in shoemaking and garment-manufacture industries, we also study the special case of specifying the given curve as a geodesic. The given geodesic can be classified into three types corresponding to each type of developable surface. We also present the polynomial representation of the developable surface. The algorithm is convenient and efficient for applications in engineering.

Abstract:
This paper presents an algorithm for automatically generating in-between frames of two artistic brushstrokes. The basic idea of the algorithm is to represent the two key frames of artistic brushstrokes in disk B-spline curves, and then make blending of their geometric intrinsic variables. Given two key frames of artistic brushstrokes, the skeleton curves can be obtained by certain skeleton-based techniques. After disk B-spline representation of the key frames is generated, interpolation of the intrinsic variables of the initial and the target disk B-spline curves is carried out. Examples show that this method can efficiently create in-between frames of artistic brushstrokes.

Abstract:
It is necessary to compute the derivative and estimate the bound of rational B-spline curves in design system, which has not been studied to date. To improve the function of computer aided design (CAD) system, and to enhance the efficiency of different algorithms of rational B-spline curves, the representation of scaled hodograph and bound of derivative magnitude of uniform planar rational B-spline curves are derived by applying Dir function, which indicates the direction of Cartesian vector between homogeneous points, discrete B-spline theory and the formula of translating the product into a summation of B-spline functions. As an application of the result above, upper bound of parametric distance between any two points in a uniform planar rational B-spline curve is further presented.

Abstract:
This paper presents an algorithm for computing quantities involving integration of NURBS curves, such as areas, volumes of revolution, first moments of area, centroids etc., of regions bounded by plane NURBS curves. For quadratic NURBS curves,closed form integral solutions are derived, thus all integral values can be directly obtaind by the coordinates of control points and weights without approximation error. For cubic NURBS curves, an approximation method is given, which provides a simple error bound and has a speed advantage for small tolerance.

Abstract:
In this paper, a new method for representing the surface of revolution using rational B-splines in CAD is described. If the profile curve has been denoted by a nonuniform rational quadratic B-spline curve, it is very convenient to represent the surface of revolution as a nonuniform rational biquadratic B-spline surface. Thus we can treat circular cylindric surface, circular conic surface, torus, sphere, surface of revolution and free surfaces by one computer procedure. It is useful in CAD. Finally, we give some examples for representing surface of revolution and sphere as rational B-spline patches.

The chemical and physical characteristics of PM_{2.5}, especially their temporal and geographical variations, have been explored in metropolitan Hangzhou area (China) by a field campaign from September 2010 to July 2011. Annual average concentrations of PM_{2.5} and PM_{10} during non-raining days were 106-131 μg.m^{-}^{3} and 127-158 μg.m^{-}^{3}, respectively, at three stations in urban breathing zones, while corresponding concentrations of PM_{2.5} and PM_{10} at an urban background station (16 mabove ground level in a park) were 78 and 104 μg.m^{-}^{3}, respectively. For comparison, the annual average PM_{10} concentration at a suburban station (5 mAGL) was 93 μg.m^{-3}. Detailed chemical analyses were also conducted for all samples collected during the campaign. We found that toxic metals (Cd, As, Pb, Zn, Mo, Cu, Hg) were highly enriched in the breathing zones due to anthropogenic activities, while soluble ions (,,) and total carbon accounted for majority of PM_{2.5} mass. Unlike most areas in China where sulfate was several times of nitrate in fine PM, nitrate was as important as sulfate and highly correlated with ammonium during the campaign. Thus, a historical shift from sulfate-dominant fine PM to nitrate-dominant fine PM was documented.

Abstract:
A new type of bivariate generalized Ball basis function on a triangle is presented for free-form surface design. Some properties of the basis function are given, then degree elevation, recursive evaluation and some other properties of the generalized Ball surfaces are also derived. It is shown that the proposed recursive evaluation algorithm is more efficient than those of the old surfaces. This work was supported by the National Natural Science Foundation of China and China Postdoctoral Science Foundation. The second author was also supported by Cao Guangbiao Science Foundation. Hu Shimin received his BS degree in numerical analysis from Jilin University, and MS and Ph.D. degrees in CAGD & computer graphics from Zhejiang University. He is currently a Postdoctor at Tsinghua University. His research interests are CAGD, computer graphics and fractal geometry. Wang Guojin received his BS and MS degrees from Zhejiang University. He is currently a Professor of mathematics at Zhejiang University. His present research interests are computer aided geometric design, computer graphics and approximation theorey. Sun Jiaguang is a Professor of computer science and technology in Tsinghua University, he is also the Director of National Engineering and Research Center for CAD Supporting Software. His research interests include computer graphics, CAD/CAM and engineering database management.

Abstract:
\noindent{\bf Abstract:} The main purpose of this paper is toanalyze the concentration behavior of the ground state solutionsfor fourth order equation $\Delta ^2u=|x|^\alpha u^{p-1}$ in$\Omega $, $u=\Delta u=0$ on $\partial \Omega$~ ($\Omega \subsetR^n$ is a ball centered at the origin). It is proved that for $p$close to $2^*=\frac{2n}{n-4} (n>4)$, the ground state solution$u_p$ concentrates near the boundary of $\Omega$.

Abstract:
In this paper, principle and algorithm of computer plotting for multiple dynamic substructure analysis are described. The realization process and functions of the software SVGRS are also illustrated. This principle is suitable fro general structure analysis.