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 it A Formula and It's Result of the Number of Complete Binary Tree 一个关于完全二叉树数目的计算公式及结果 The result shows that a decision tree can be quickly built by calculating each attribute's information gain for each sample in a test set,and it can effectively avoid subjective affection. 结果表明,采用ID3算法的决策树方法通过定量计算训练集样本中各属性互信息的大小,可以迅速地得到一棵决策树,从而通过对训练样本的统计计算避免了主观判断属性权重带来的弊端。 The following conclusions are proved:(1) Let X= Πσ ∈ΣXσbe │Σ│-paracompact,then it is weakly subortho-compact if Πσ∈FXσis weakly subortho-compact for every F∈[Σ]< ω. 文章证明了如下结果:(1)如果X=Πσ∈ΣXσ是│Σ│-仿紧空间,则X是弱subortho-紧空间当且仅当F∈[Σ]<ω,X=Πσ∈F Xσ是弱subortho-紧空间。 It puts forward the function one direction S-rough sets,discovery and applications of investment risk F-laws by using these results. 利用这些结果,给出函数单向S-粗集与投资风险F-规律的发现与应用. Results It is get that PQ(respectively,P-Q) is Drazin invertible if and only if Q0(respectively,I-Q0) is invertible. 结果得出PQ(resp.P-Q)是Drazin可逆的充要条件是Q0(resp.I-Q0)是可逆的。 The superiority of the algorithm is tested through cases and the simulated result shows that it has high efficiency,rapid speed of convergence and strong capability of global search. 通过实例检验算法的优越性,仿真结果表明该算法求解效率高,收敛速度快,全局搜索能力强。 On the basis of sectors data, it has been found that the direct effects of FDI on Shanghai′s TFP development are stronger than the effects of FDI technology spillovers on Shanghai′s local enterprises. 以行业数据为基础的分析结果表明,外资对上海的直接技术进步效应大于外资对上海本地企业的技术溢出效应,而外资对上海本地企业的技术溢出效应大小又与外资进入的行业有关。 The result shows that the contribution rate of the human capital is greater it of the physical capital,but their difference in contribution rate is not very big. 结果显示,人力资本的贡献率要大于物质资本的贡献率,但差距不是很大。 It is show that the bipartite Ramsey number br({C4,C6},K1,n) can be bounded by n+n1/3+2/3+On-1/3 from above,and br({C4,C6},K1,q3-q+1)=q3+1 for each prime power. 给出了二部Ramsey数br({C4,C6},K1,n)的上界为n+n1/3+2/3+O[n-1/3],特别地,对任意素数q,给出了等式br({C4,C6},K1,q3-q+1)=q3+1的结果。 It concludes that from 1990 to 2004 the TFP of 216 cities has increased,however,economic growth disparity has been relatively enlarged. 结果表明,1990~2004年中国216个地级市的TFP整体呈现出增长的趋势,城市经济的地区差异明显且呈扩大趋势。 In this paper,the multifractal analysis about sample paths of Brownian sheet W={W(s):s∈RN+ is discussed.The Hausdorff dimension results of fast points determinded by rectangle increments of Brownian sheet is obtained,and it is shown that for any T>0 and 1≥α≥0. 主要讨论布朗单样本轨道的重分形分析特征,获得布朗单W={W(s):s∈R+N}样本轨道关于矩形增量的“快点集”的Hausdorff维数结果:对任意T>0,0≤α≤1。 Results It proposes the structure of second-order HMM(HMM2) on condition that observation noise is not independent of the Markov chain,and obtain the Baum-Welch algorithm of the model on condition that multiple observations is not independent. 结果给出了在观测噪声和马尔可夫链不相互独立条件下二阶隐马尔可夫模型(second-or-der HMM:HMM2)的结构,获得了在多观测序列不相互独立的情况下HMM2的Baum-Welech学习算法。 At the same time,it compares the analysis result with the technology development strategy object to review the reasonability and practicability. 同时,将分析的结果与该企业未来的技术发展战略目标加以比较,以考察技术发展战略目标的合理性与实用性。 Abstract We give sufficient conditions under which for a sequences of nonnegative weakly convergent random variables when their (2+δ)th moments are finite andα＞0.It generalizes Kaluszka and Okolewski's results~([2]) and gives complete proofs for their Theorem 3 and Theorem 4. 在2+δ阶矩有限时,对一类非负弱收敛随机变量列,给出了成立的充分条件,推广了[2]中的结果并严密了其中主要结果定理3,定理4的证明． This paper first obtains global asymptotic stability for a kind of third order rational difference equation. It solves the open problem 7.5.2 given in [M.R.S.Kulenovic and G.Ladas,Dynamics of Second Order Rational Difference Equations,with Open Problems and Conjectures,Chapman and Hall/CRC,2002], and moreover proves that there do not exist periodic solutions for this kind of equation; 本文首先获得一类三阶有理型差分方程解的全局渐近稳定性结果,解决了[M.R.S.Kulenovic and G.Ladas,Dynamics of Second Order Rational Difference E-quations,with Open Problems and Conjectures,Chapman and Hall/CRC,2002.] 中的公开问题7.5.2,并证明了这类方程无周期解; Compared experi-mental data with weight Banzhaf-coleman value and Shapley value, it showed thatthere was perfect consistency betheen experimental outcomes and theoretical solu-tions by introducing concept of weight Banzhaf-coleman value. 通过引入Banzhaf-coleman势值的概念,将实验数据与Banzhaf-coleman势值及Shapley 值对比,显示出实验结果与理论解有着较好的相容性. It is interesting thatthe results are evidently coincided with the known results in Harrison & pital (1996)when negative arrivals are poisson streams instead of the general renewal arrivals. 有趣的是,当负顾客到达取更新过程的特例-泊松过程时,这一结果与Harrison&pital(1996)中所得结果完全一致. The existence of the risk of economy system results from the uncertainty of man and economic environment. It is the striking problem faced by economy control engineering. Some results and developments of research on classical economy control engineering, roubust economy control engineering and finance control engineering were introduced. 经济系统在运行过程中更多地受到人和经济环境不确定因素的制约,从而导致经济系统风险的存在,这是经济控制工程面临的突出问题．为此主要介绍了经典经济控制工程、鲁棒经济控制工程与金融经济控制工程研究的若干最新研究成果与进展,这些结果对上述问题的解决提供了行之有效的技术和方法． The results show that WACD(2,1) model fits the series of liquidity very well, and it can be used to describe and forecast liquidity in our security market. 实证结果表明WACD(2,1)模型拟合日内流动性序列的效果最理想,可以用来描述和预测流动性; A Judgement Result and It's Application of Nonnegative Linear Operator on Hilbert Space Hilbert空间上非负线性算子的一个判定结果及其应用

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