Books on software engineering methodologies talk about the significance and need for designing consistent and complete specifications during the requirement analysis and design stages of a software development cycle. ...
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Dixon's method for computing multivariate resultants by simultaneously eliminating many variables is reviewed. The method is found to be quite restrictive because often the Dixon matrix is singular, and the Dixon ...
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ISBN:
(纸本)9780897916387
Dixon's method for computing multivariate resultants by simultaneously eliminating many variables is reviewed. The method is found to be quite restrictive because often the Dixon matrix is singular, and the Dixon resultant vanished identically yielding no information about solutions for many algebraic and geometry problems. We extend Dixon's method for the case when the Dixon matrix is singular, but satisfies a condition. An efficient algorithm is developed based on the proposed extension for extracting conditions for the existence of affine solutions of a finite set of polynomials. Using this algorithm, numerous geometric and algebraic identities are derived for examples which appear intractable with other techniques of triangulation such as the successive resultant method, the Gro¨bner basis method, Macaulay resultants and Characteristic set method. Experimental results suggest that the resultant of a set of polynomials which are symmetric in the variables is relatively easier to compute using the extended Dixon's method.
The concept of anti-link is defined, and useful equivalence-preserving operations on propositional formulas based on anti-links are introduced. These operations eliminate a potentially large number of subsumed paths i...
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The left context in LR-based parsing is the sequence of states in the parsing stack. The right context is the vocabulary strings to appear for a given left context. We propose an efficient method of computing right co...
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The left context in LR-based parsing is the sequence of states in the parsing stack. The right context is the vocabulary strings to appear for a given left context. We propose an efficient method of computing right context for LR-based syntax error repair. The efficiency of our method is achieved from removing some redundancies in the method of previous work.
For whatever reason, formal methods remain one of the more contentious techniques in industrial software engineering. Despite some improvement in the uptake of formal methods, it is still the case that the vast majori...
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We extend static filtering in [8], a query optimization strategy based on seminaive evaluation on system graphs, so that it can efficiently handle stratified programs without extra overhead. The computation of static ...
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We extend static filtering in [8], a query optimization strategy based on seminaive evaluation on system graphs, so that it can efficiently handle stratified programs without extra overhead. The computation of static filters is formalized as a transformation so that the least fixed point of the transformation can be the static filters. The static filtering on stratified programs is shown to be complete with respect to the iterated fixed point semantics.
A syntactic error repair model is proposed, and is defined as a partial function from strings to sentences. The replacement of a substring of a string with a substring of a sentence is described by a repair pattern, w...
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A syntactic error repair model is proposed, and is defined as a partial function from strings to sentences. The replacement of a substring of a string with a substring of a sentence is described by a repair pattern, which is roughly a pair of strings of grammar symbols. The model can be efficient with some restriction on repair patterns. An LR-based implementation of the model is discussed.
A major limitation of the boundary element method (BEM) for the solution of electrical potential problems is the long computational time required. However, a large portion of the calculations involved can be viewed as...
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A major limitation of the boundary element method (BEM) for the solution of electrical potential problems is the long computational time required. However, a large portion of the calculations involved can be viewed as being parallel in nature and can therefore be computed concurrently. This paper makes an effort to increase the efficiency of the BEM process using transputer-based multiprocessor computing techniques. The algorithms developed may equally well be applied to any multiprocessor system. The application selected to demonstrate the technique is the solution of an electrostatic problem governed by a two-dimensional Laplace equation. A parallel algorithm for problem setup and field extraction using BEM is designed and implemented on a transputer array. Special attention is directed to the utilization of the parallel processors to achieve maximum efficiency. The analysis in this work concentrates on the communication strategies for passing data between processors as well as a consideration of the workload attributed to each processor. The parallel algorithms were implemented using 3L Parallel Fortran;however, the choice of topology for the overall BEM implementation was limited by the fact that certain parts of the algorithm could only utilize a pipeline configuration of processors. Comprehensive results for the parallel BEM algorithm are given and they are encouraging, indicating that parallel processing has much to offer when applied to the boundary element method.
A major limitation of the transmission-line matrix (TLM) method used to solve Maxwell's equations is the long computation time required. The TLM scattering calculations involved can, however, be viewed as parallel...
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A major limitation of the transmission-line matrix (TLM) method used to solve Maxwell's equations is the long computation time required. The TLM scattering calculations involved can, however, be viewed as parallel in nature. This paper describes an effort to reduce computational time by using an SIMD, DAP multiprocessor computer employed to solve a two-dimensional TLM electromagnetic field formulation. A parallel algorithm based on the TLM scattering algorithm is designed and implemented using FORTRAN-PLUS Enhanced on an AMT DAP 510 machine. Here the connectivity of the DAP is exploited to simulate the intrinsic scattering behaviour on which the TLM algorithm relies. The results show that parallel processing on an SIMD machine such as the DAP is advantageous, especially for higher-order mesh sizes.
There have been active work to extend the Prolog style Horn Clause logic programming to non-Horn *** this paper,we will analyze the complexities of several such *** purpose is to understand the computational complexit...
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There have been active work to extend the Prolog style Horn Clause logic programming to non-Horn *** this paper,we will analyze the complexities of several such *** purpose is to understand the computational complexity of these inference *** analyses do not prove that any one system is better than the others all the *** they do suggest that one system may be better than the others for some particular *** also discuss the effect of caching.
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