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汉语句子相似度计算在FAQ中的应用 被引量:24
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作者 裴婧 包宏 《计算机工程》 CAS CSCD 北大核心 2009年第17期46-48,共3页
通过对传统的汉语句子相似度模型进行改进,提出一种基于关键词加权的汉语句子相似度计算方法,在此基础上实现一个基于常问问题库的中文问答系统。该系统通过将用户输入的自然语言问句与常问问题库中的候选问题集进行相似度计算,自动返... 通过对传统的汉语句子相似度模型进行改进,提出一种基于关键词加权的汉语句子相似度计算方法,在此基础上实现一个基于常问问题库的中文问答系统。该系统通过将用户输入的自然语言问句与常问问题库中的候选问题集进行相似度计算,自动返回最匹配的答案给用户,自动更新和维护常问问题库。实验结果表明该方法在问句匹配上比传统方法具有更高的准确率。 展开更多
关键词 句子相似度 关键词 常问问题
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A Class of Strongly Nonlinear Singular Perturbed Boundary Value Problems 被引量:15
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作者 TANG Rong-rong(Department of Mathematics, Huzhou Teacher’ s College, Huzhou 313000, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第2期117-120,共4页
In this paper, a class of strongly nonlinear singular perturbed boundary value problems are coasidered by the theory of differential inequalities and the correction of boundary layer, under which the existence of solu... In this paper, a class of strongly nonlinear singular perturbed boundary value problems are coasidered by the theory of differential inequalities and the correction of boundary layer, under which the existence of solution is proved and the uniformly valid asymptotic expansions is obtained as well. 展开更多
关键词 nonlinear equation singular perturbation boundary value problem differential inequality
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The Application of the Fixed-point Theory in Jacketed Solution of Singularly Perturbed Nonlinear Problem
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作者 CHENG Yan (Department of Basic Course, Artillery Academy of P.L.A., Hefei 230031, China) 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第1期103-107,共5页
In this paper,the fixed_point theorem is used to estimated an asymptotic solution of initial value problems for a class of third nonlinear differential equations which has double initial_layer properties. We obtain th... In this paper,the fixed_point theorem is used to estimated an asymptotic solution of initial value problems for a class of third nonlinear differential equations which has double initial_layer properties. We obtain the uniformly valid asymptotic expansion of any orders including boundary layers. 展开更多
关键词 fixed_point theorem asymptotic expansion jacketed solution singular perturbation
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Symmetry Reduction of Initial-Value Problems for a Class of Third-order Evolution Equations 被引量:2
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作者 LI Ji-Na FENG Wei +1 位作者 QI Xin-Lei ZHANG Shun-Li 《Communications in Theoretical Physics》 SCIE CAS CSCD 2009年第7期55-59,共5页
Symmetry reduction of a class of third-order evolution equations that admit certain generalized conditionalsymmetries (GCSs) is implemented.The reducibility of the initial-value problem for an evolution equation to a ... Symmetry reduction of a class of third-order evolution equations that admit certain generalized conditionalsymmetries (GCSs) is implemented.The reducibility of the initial-value problem for an evolution equation to a Cauchyproblem for a system of ordinary differential equations (ODEs) is characterized via the GCS and its Lie symmetry.Complete classification theorems are obtained and some examples are taken to show the main reduction procedure. 展开更多
关键词 symmetry reduction third-order evolution equation Cauchy problem
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Instability of Standing Waves for Hamiltonian Wave Equations
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作者 Zaihui GAN Boling GUO Jie XIN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第2期219-230,共12页
This paper deals with the standing wave for a Hamiltonian nonlinear wave equation which can be viewed as a representative of the class of equations of interest.On the one hand,by proving a compactness lemma and solvin... This paper deals with the standing wave for a Hamiltonian nonlinear wave equation which can be viewed as a representative of the class of equations of interest.On the one hand,by proving a compactness lemma and solving a variational problem,the existence of the standing wave with ground state for the aforementioned equation is proved.On the other hand,the authors derive the instability of the standing wave by applying the potential well argument,the concavity method and an invariant region under the solution flow of the Cauchy problem for the equation under study,and the invariance of the region aforementioned can be shown by introducing an auxiliary functional and a supplementary constrained variational problem. 展开更多
关键词 Hamiltonian wave equation Ground state Standing wave INSTABILITY
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