This paper considers the numerical solution of boundary integral equations of the second kind for Laplace s equation u on connected regions D in R with boundary S The boundary S is allowed to be smooth or piecewise smooth and we let f K j K Ng be a triangulation of S The numerical method is collocation with approximations which are piecewise quadratic in the parametrization variables leading to...

Statistical language models are useful because they can provide probabilistic information upon uncertain decision making. The most common statistic is n-grams measuring word cooccurrences in texts. The method suffers from data shortage problem, however. In this paper, we suggest Bayesian networks be used in approximating the statistics of insufficient occurrences and of those that do not occur ...

This paper describes a characters-based Chinese collocation system and discusses the advantages of it over a traditiolml word-based systcm. Since wordbreaks are not conventionally marked in Chinese text corpora, a character-based collocation system has the dual advantages of avoiding pre-proccssing distortion and directly accessing sub-lexical information. Furthermore, word-based collocational ...

Meshfree methods have been formulated based on Galerkin type weak formulation and collocation type strong formulation. The approximation functions commonly used in the Galerkin based meshfree methods are the moving least-squares (MLS) and reproducing kernel (RK) approximations, while the radial basis functions (RBFs) are usually employed in the strong form collocation method. Galerkin type form...

Fuzzy approach deals with the linguistic properties of elements such as beauty, coldness, hotness etc. Collocations are linguistically motivated. Decision of word combination for being collocation is a linguistic term as merely co-occurrence of word combinations does not signify the presence of collocation. Thus collocation extraction can be made possible by looking its linguistic aspect. In th...

ÐIn a field study conducted at a leading Fortune 100 company, we examined how having development teams reside in their own large room (an arrangement called radical collocation) affected system development. The collocated projects had significantly higher productivity and shorter schedules than both the industry benchmarks and the performance of past similar projects within the firm. The teams ...

Searching names of persons, families, and organizations is often difficult in online databases because different persons or organizations frequently share the same name and because a single person’s or organization’s name may appear in different forms in various online documents. Databases and search engines can use metadata as a tool to solve the problem of name ambiguity and name variation in...

The collocation method based on cubic B-spline, is developed to approximate the solution of second kind nonlinear Fredholm integral equations. First of all, we collocate the solution by B-spline collocation method then the Newton-Cotes formula use to approximate the integrand. Convergence analysis has been investigated and proved that the quadrature rule is third order convergent. The presented...

The standard error bounds for interpolation by kernels or radial basis functions are generalized to symmetric PDE collocation problems. This involves generalized Power Functions, and these can be explicitly calculated. Final error bounds then are a product of Power Function values and the norm of the solution in the native space of the kernel. Since the latter can also be estimated well, the wh...