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Examples are given to illustrate the conditional entropy maybe increased, so Shannon's definition of information is not absolutely correct.

论文摘要:从新的角度指出了香农信息论和信息定义的局限性,指出了它没有考虑信息的可靠性,完备性等特点,指出条件熵的命名不恰当,香农的"条件熵"应该称为加权平均条件熵,并且举例证明了条件熵可能增加,进而香农信息定义中的不确定性的减少也不是绝对的。

Limitations of Shannon's information theory and information definition are analyzed from new angles. It is pointed out that they didn't consider the reliability, completeness and other characteristics of information, and the naming of conditional entropy is not proper. The correct naming of Shannon's "conditional entropy" should be weighted average conditional entropy. Examples are given to illustrate the conditional entropy maybe increased, so Shannon's definition of information is not absolutely correct.

从新的角度指出了香农信息论和信息定义的局限性,指出了它没有考虑信息的可靠性,完备性等特点,指出条件熵的命名不恰当,香农的"条件熵"应该称为加权平均条件熵,并且举例证明了条件熵可能增加,进而香农信息定义中的不确定性的减少也不是绝对的。

Analyze the nature and characteristic of lattice-ordered structure,andstudy the relation between lattice-ordered preference and the incompleteinformation set of decision-makers;By discussing the relation betweenlattice-ordered preference structure and independence axiom and continuityaxiom,study whether or not independence axiom accords to continuity axiomwith lattice-ordered preference structure,which is for setting up theoreticalbase for weakening the rational behavior axioms.

分析了偏好关系的格序特征,并研究了格序偏好关系与决策人决策信息集不完备性之间的关系;从理论上研究和论证格序偏好关系与VonNeumann-Morgenstern理性行为公理中独立性公理和连续性公理的相容性问题,为公理弱化奠定理论依据

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性,〓数乘收敛级数的全程不变性,有基空间中的〓数乘收敛级数,无穷矩阵拓扑代数〓中的紧集,〓在不同拓扑下具有相同紧集的刻划,〓的弱序列完备性,Schur—矩阵的刻划,p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition at the corner point.

在分析角点求解条件完备性的基础上将矩形板弯曲划分为广义静定问题和广义超静定问题。

The bending of rectangular plate is divided into the generalized statically determinate bending and the generalized statically indeterminate bending based on the analysis of the completeness of calculating condition at the corner point. The former can be solved directly by the equilibrium differential equation and the boundary conditions of four edges of the plate.

在分析角点求解条件完备性的基础上将矩形板弯曲划分为广义静定问题和广义超静定问题,广义静定弯曲可以由板的平衡微分方程及四边边界条件直接求解,广义超静定弯曲可以由叠加法求解。

And to prove several complete theorems in the two-dimensional space with the complete covering theorem.

利用完全覆盖定理证明二维空间的几个完备性定理。

To formalize this algorithm,crosscutting contract calculus and a set of contract elaboration rules are presented.

为了形式化这个算法,提出Crosscutting Contract演算和一组契约求解规则,并通过定义和证明契约完备性来保证契约求解过程的正确性。

OWL DL supports those users who want the maximum expressiveness while retaining computational completeness (all conclusions are guaranteed to be computable) and decidability (all computations will finish in finite time).

OWL DL 支持那些需要最强表达能力的推理系统的用户,且这个推理系统能够保证计算的完备性(computational completeness,即所有的结论都能够保证被计算出来)和可判定性(decidability,即所有的计算都在有限的时间内完成)。

An algorithm for transformation of calculus to algebra was derived, and the correctness of transformation was proved.

代数转换同时也体现了对象代数相对于对象演算的完备性

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