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111.
Darboux transformation with multi-parameters for the
Boussinesq--Burgers (B--B) equation is derived. For an application,
some important explicit solutions of the B--B equation are obtained,
including 2N-soliton solution and periodic solution.
Finally, some elegant and interesting figures are plotted. 相似文献
112.
113.
The area of randomness extraction has seen interesting advances in recent years, with rapid progress on many longstanding open problems, along with the introduction of many new notions that played a key role in this development. We survey this progress and highlight new definitions and notions that have been the subject of intense study in recent work. 相似文献
114.
梁进 《高等学校计算数学学报》2008,30(1):76-96
American put option with jump-diffusion can be modelled as a vari- ational inequality problem with an integral term.Under the stability condition (σ~2Δt)/(Δx~2)≤1,whereΔx=ln(S_n 1)/(S_n),the convergence rate O((Δx)~(2/3) (Δt)~(1/3))of the explicit finite scheme for this problem is obtained by using penalization technique. The binomial tree scheme of this model,which is equivalent to the explicit scheme, is convergent by the same rate. 相似文献
115.
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117.
Andrej Ule 《Acta Analytica》2004,19(33):9-30
I analyze some classical solutions of the skeptical argument and some of their week points (especially the contextualist solution).
First I have proposed some possible improvement of the contextualist solution (the introduction of the explicit-implicit belief
and knowledge distinction beside the differences in the relevance of some counter-factual alternatives). However, this solution
does not block too fast jumps of the everyday context (where empirical knowledge is possible) into skeptical context (where
empirical knowledge is impossible). Then I analyze some formal analogies between some modal arguments on the contingency of
empirical facts (and the world as whole) and the skeptical arguments against empirical knowledge. I try to show that the skeptical
conclusion “Empirical knowledge does not exist” is logically coherent with the thesis that they are empirical facts and that
we have true belief on them. In order to do that without contradictions I have to accept a non-classical definition of knowledge:
S knows that p:= S is not justified to allow that non-p. Knowledge and justified allowance function here as some pseudo-theoretical
concepts which allow only some partial and conditional definitions by some “empirical” terms and logical conditions. 相似文献
118.
余长安 《武汉大学学报(理学版)》1997,(1)
将一般常系数非齐次线性微分方程初值问题的解直接表示成其系数与初始值的函数,从而避免了按通常解法带来的求解相应高次代数方程的麻烦,亦为利用现代计算工具解决有关问题提供了条件 相似文献
119.
Fernando Pablos Romo 《Proceedings of the American Mathematical Society》2007,135(7):1977-1985
The aim of this note is to offer a new explicit expression of the Contou-Carrère symbol that depends only on a product of a finite number of terms. As an application, we obtain an explicit formula for a Witt Residue.
120.
We give the hypergeometric solutions of some algebraic equations including the general fifth-degree equation. 相似文献