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反问题和正问题是成对出现的。通常,学术界将已知原因(输入)、过程(模型)而探求结果(输出)的一类问题称为正问题。与此相对应,就有了两种反问题:已知模型、输出求未知输入的“溯源”问题和已知输入、输出来反求模型(或模型参数)的系统辨识问题。在现实社会和人类生活中,反问题无处不在;在关系国家命脉的经济生产和国防军事领域中反问题更是随处可见。例如,与人类健康福祉密切相关的无痛无损伤、在体表进行测量的医学诊...
Fuzzy computation is a field that encompasses the theory and application of fuzzy sets and fuzzy logic to the solution of information processing, systems analysis and synthesis problems. Bolstered by ...
This paper concerns a fractional function of the form x^Ta/sqrt{x^TBx}, where B is positive definite. We consider the game of choosing x from a convex set, to maximize the function, and choosing (a,B)...
The sub-Nyquist estimation of line spectra is a classical problem in signal processing, but currently popular subspace-based techniques have few guarantees in the presence of noise and rely on a prior...
Abstract: We reminisce and discuss applications of Algorithmic Probability Theory to a wide range of problems in Artificial Intelligence, philosophy and technological society. We argue that Solomonoff...
The essence of the complex dynamics originated by the interaction between the pilot ?& ?aircraft can be captured on labs, by means of unstable ?underactuated mechanical systems. Thus, the unactuated ...
摘要 In this papert we study the existence of solutions and boundary solutions tothe following system of operator equations in partial ordering sets.... We do not assume any topological structure or alg...
A method for obtaining the explicit pointwise bounds on solutions to the general form of linear systems of Volterra integral inequalities in n independent variables is recomended. All known results re...
The notion of ranking was initiated into control theory by Glad a few yearsago. In this paper we mainly discuss one kind of rankings and study its invariance properties. This kind of rankings is close...
Let a moving plane MP over a fixed plane FP occupy four different positions. Eachpair of such positions is associated with a center of rotation called pole so that we have a 6-pole configuration. As a...
In this paper, we give the calculation formulae and some properties of symmetric andskew-symmetric procrustes statistics and related transformation matrices. We use the procrustes statistic to provide...
This paper uses R-statistics as projection indices to construct a class of projection pursuit (PP)R-statistics for multivariate two sample tests via PP techniques. Examples are presented as applicatio...
A predator-prey system, depending on several parameters, is investigated forbifurcation of equilibria, Hopf bifurcation, global bifurcation occurring saddle connection, and global existence and nonexi...
This is the third paper of the series entitled “A mechanization method of geometryand its applications”, cf.[WU3—5]. In the present paper it is shown how inequalities can be proved by means of the aut...
The 4th Annual Conference on Theory and Applications of Models of Computation (TAMC07) will be held in Shanghai, China, May 22 to 25, 2007. Three previous annual meetings were held in 2004, 2005 and 2...

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