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11.
We introduce a class of set-functions on the set of natural numbers, which are called super-measures. Super-measures are then
utilized to characterize a certain class of topological measures (previously called quasi-measures, see below) which arises
naturally. The members of this class of topological measures are called finitely defined, and are shown to be dense in the
set of all topological measures.
This revised version was published online in June 2006 with corrections to the Cover Date. 相似文献
12.
A -frame is a lattice in which countable joins exist and binary meets distribute over countable joins. In this paper, the category MFrm, of metric -frames, is introduced, and it is shown to be equivalent to the category MLFrm
u, of metric Lindelöf frames.Finally, it is shown that the complete metric -frames are exactly the cozero parts of complete metric Lindelöf frames. 相似文献
13.
Rafael O. Ruggiero Vladimir A. Rosas Meneses 《Bulletin of the Brazilian Mathematical Society》2003,34(2):263-274
In this paper, we show that the Pesin set of an expansive
geodesic flow in compact manifold with no conjugate points and
bounded asymptote coincides a.e with an open and dense set of
the unit tangent bundle. We also show that the set of hyperbolic
periodic orbits is dense in the unit tangent bundle. 相似文献
14.
The second part of this paper deals with the systolic implementation of the computational kernel for factorial data analysis, defined in Part I, on special-purpose hardware. The framework of the study is that a sequence of different algorithms has to be performed on a unique hardware array. This fact has led us to the design of the programmable systolic array SARDA: this is a triangular array which consists of programmable nodes with local memory and programmable orthogonal connections. 相似文献
15.
We present an accurate and fast wave tracking method that uses parametric representations of tracked fronts, combined with modifications of level set methods that use narrow bands. Our strategy generates accurate computations of the front curvature and other geometric properties of the front. We introduce data structures that can store discrete representations of the location of the moving fronts and boundaries, as well as the corresponding level set fields, that are designed to reduce computational overhead and memory storage. We present an algorithm we call stack sweeping to efficiently sort and store data that is used to represent orientable fronts. Our implementation features two reciprocal procedures, a forward ‘front parameterization’ that constructs a parameterization of a front given a level set field and a backward ‘field construction’ that constructs an approximation of the signed normal distance to the front, given a parameterized representation of the front. These reciprocal procedures are used to achieve and maintain high spatial accuracy. Close to the front, precise computation of the normal distance is carried out by requiring that displacement vectors from grid points to the front be along a normal direction. For front curves in two dimensions, a cubic interpolation scheme is used, and G 1 surface parameterization based on triangular patches is used for the three-dimensional implementation to compute the distances from grid points near the front. To demonstrate this new, high accuracy method we present validations and show examples of combustion-like applications that include detonation shock dynamics, material interface motions in a compressible multi-material simulation and the Stephan problem associated with dendrite solidification. 相似文献
16.
The algorithm and optical implementation of full parallel adder using combina-torial logic architecture have been suggested in this paper.The hybrid full parallel adder,which can perform multiple bits addition simultaneously,is implemented by utilizing VLSItechnology and acoustooptic Bragg cells.The algorithm has the advantages of high parallelismand easy optical implementation.The full parallel adder finishes n-bit addition within the du-ration T_d if the pipeline architecture is employed,whose hardware complexity is O(n~2). 相似文献
17.
Agnieszka Ksiazek 《Molecular physics》2013,111(6):769-786
The dual basis set approach has proven to be very successful for accurately estimating total energies with large basis sets. This study extends the applications of this technique to the calculation of molecular properties, including energy derivatives with respect to nuclear positions and to an external electric field. All energy derivatives have been calculated numerically via finite-differences. Molecular gradients and Hessians as well as dipole moments and polarizabilites have been calculated at the HF and MP2 levels using two alternative versions of the dual basis set method. The accuracy of these approaches is discussed in the context of quality of basis sets used in calculations. It is shown that even quite poor results obtained with the 6-311G basis set are significantly improved in dual basis set calculations with the 6-311G(d,p) and 6-311G(3df,3dp) basis sets. 相似文献
18.
车辆轮对踏面缺陷的光电检测方法研究 总被引:1,自引:0,他引:1
铁路车辆轮对踏面的擦伤与剥离是车辆在运行过程中形成的一种常见的不规则表面缺陷,是轮对检修过程中必须检测的一个项目。提出了一种利用光电技术非接触测量此表面缺陷的方法。该方法在轮对旋转条件下,用精密激光位移传感器对踏面进行快速扫描,采集值经处理后被转换为数字图像,再通过图像处理识别是否存在表面缺陷。必要时通过对缺陷部位的往复扫描,更准确识别出擦伤与剥离是否超出段修限度。该方法可有效检测出踏面缺陷,重复性好,可满足车辆段修现场使用要求。 相似文献
19.
In this paper, we propose a nonlinear PDE model for reconstructing a regular surface from sampled data. At first, we show the existence and the uniqueness of a viscosity solution to this problem. Then we propose a numerical scheme for solving the nonlinear level set equation on unstructured triangulations adapted to the data sample. We show the consistency of this scheme. In addition, we show how to compute nodewise first and second order derivatives. Some application examples of curve or surface construction are provided to illustrate the potential and to demonstrate the accuracy of this method. 相似文献