查询词典 normal basis theorem

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对"中间点"的渐近性进行了研究，得出了一系列"中间点"的渐近性的结果，概括了有关文献对微分中值公式的"中间点"的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

On the basis of analyzing the classification principle of Bayesian classification model and a variant of Bayes theorem, a new classification model based on Bayes theorem, DLBAN (double-level Bayesian network augmented naive Bayes), which adds the dependence among attributes by selecting the key attributes, is proposed.

通过分析贝叶斯分类模型的分类原则以及贝叶斯定理的变异形式，提出了一种基于贝叶斯定理的新的分类模型DLBAN(double-level Bayesian network augmented naive Bayes)。该模型通过选择关键属性建立属性之间的依赖关系。

Based on the outcome of Xu Yang and Qin Keyun about lattice implication algebra and lattice-valued prepositional logic LP with truth-value in a lattice implication algebra, the author studied the properties of lattice implication algebra and the α-automated reasoning method based on α-resolution principle of LP. The specific contents are as follows: The Study of Lattice Implication Algebra On the basis of previous results of lattice implication algebra, this part consists of the following three points: 1. Some properties of lattice implication algebra L were discussed, and some important results were given if L was a complete lattice implication algebra. 2. The properties of left idempotent elements of lattice implication algebras were discussed, and the conclusion that lattice implication algebra L was equals of the directed sum of the range and dual kernel of a left map constructed by a left idempotent element was proved. 3. The properties of the filters of lattice implication algebra were discussed, the theorem was shown that they satisfy the hypothetical syllogism and substitute theorem of the propositional logic. 4. The concept of weak niters of lattice implication algebras and their properties and structures are discussed. It is proved that all weak filters of a lattice implication algebra form a topology and the the implication isomorphism betweem two lattice implication algebras is a topological mapping between their topological spaces. The Study of α-automated reasoning method based on the lattice-valued propositional logic LP In this part, the author given an a-automated reasoning method based on the lattice-valued propositional logic LP.

本文基于徐扬和秦克云的关于格蕴涵代数和以格蕴涵代数为真值域的格值命题逻辑系统LP的研究工作，对格蕴涵代数以及格值命题逻辑系统LP中基于α-归结原理的自动推理方法进行了系统深入的研究，主要有以下两方面的研究成果：一、关于格蕴涵代数的研究 1、对格蕴涵代数的格论性质进行了研究，得到了当L为完备格蕴涵代数时，关于∨，∧，→运算的一些结果； 2、对格蕴涵代数的左幂等元进行了研究，证明了格蕴涵代数L可以分解为任何一个左幂等元所对应的左映射的像集合与其对偶核的直和； 3、对格蕴涵代数的滤子的性质进行了研究，证明了滤子的结构相似于逻辑学中的Hypothetical syllogism规则和替换定理； 4、给出了格蕴涵代数中弱滤子的概念，对弱滤子的性质个结构进行了研究，证明了格蕴涵代数的全体弱滤子构成一个拓扑结构，格蕴涵代数之间的蕴涵同构是相应的拓扑空间之间的拓扑映射。

In this paper,pose representation by quaternions are researched.With the basic quaternion algebra,the "quaternion based rotations combination theorem" is introduced and proved theoretically.On the basis of this theorem,a method for compute of pose nonliear state transfer function and its linearization is purposed.Then,the computing of the measurement function and the linearization is studied.With the Extended Kalman Filter,the pose is tracked and estimated.

研究用四元数表示物体的姿态，在四元数基本运算法则基础上提出并证明了"基于四元数的多个旋转运动合成规则"，然后将此规则为依据，推导出一种用来计算姿态非线性状态方程系数的方法，对非线性状态转移函数进行线性化，并且研究了测量方程函数的确定及线性化，借助扩展Kalman滤波实现了对姿态的跟踪。

This thesis explains basic financial innovation theorems including "circumventive innovation theorem","transaction cost innovation theorem" and " value chain theory ", etc and the relationship between these theorems and Internet banking; on the basis of analyzing the developing history and current situation of Internet banking business in foreign countries and in china, it points out the major problems existing in our Internet banking innovation, summarizes the experiences in foreign Internet banking which can be referential to our commercial banks, and gets to the conclusion that meeting customer's demands and keeping, maintaining, utilizing the customer relationship effectively are the key points in Internet banking innovation.

阐释了&规避管制理论&、&交易成本理论&、&价值链理论&等金融创新理论的基本内容及其与网络银行业务创新的关系；通过对国内外网络银行业务功能发展历程的简要回顾和对其业务创新现状的介绍，总结了国外发展网络银行业务过程中可供我国商业银行借鉴的经验，探讨了我国网络银行业务创新存在的主要问题，并认为满足客户需求，保持、维护并有效利用银行与客户间的关系是进行网络银行业务创新的关键所在。

Equidistance point and difference theory in theory of function approximation are studied. Meanwhile, the relation among difference, difference quotient and derivate is revealed. By drawing Lagrange's and Cauchy's theorem of mean on difference and Taylor's formula into difference function, four theorems, such as Lagrange's theorem of mean on difference, are concluded in simple way. On the basis of these conclusions, the asymptotic property of middle point is studied, a series of new conclusions are drawn and the discussions on the asymptotic property of middle point in differential mid-value are summarized.

对函数逼近论中等距节点和差分理论进行了研究，揭示了差分、差商与导数之间的联系；将Lagrange中值定理、Cauchy中值定理、Taylor公式引入到差分函数中，简明地推导出Lagrange差分中值定理等4个定理，并在此基础上对&中间点&的渐近性进行了研究，得出了一系列&中间点&的渐近性的结果，概括了有关文献对微分中值公式的&中间点&的渐近性的讨论；给出的引理改进了函数逼近论的证明方法，精简了函数逼近论中的一些内容。

Through a discussion on the suffix features of miniterm and maxiterm ,this paper offers a suffix calculating approach to miniterm and maxiterm in principal disjunctive normal form,principal conjunctive normal form determined by disjunctive normal form,and conjunctive normal form of propositional formula.

通过极小项和极大项的下标特征的讨论，给出了由命题公式的析取范式、合取范式而确定的主析取范式、主合取范式中的极小项、极大项的下标计算方法，从而简化了由繁杂的命题公式推演或真值计算求主范式的计算过程。

After multivariable adjustment, consumption of tuna or other broiled/baked fish was associated with specific HRV components, including indices suggesting greater vagal predominance and moderated baroreceptor responses (eg, higher root mean square successive differences of normal-to-normal intervals [P=0.001]; higher normalized high-frequency power [P=0.008]; and lower low-frequency/high-frequency ratio [P=0.03]) and less erratic sinoatrial node firing (eg, lower Poincaré ratio [P=0.02] and higher short-term fractal scaling exponent [P=0.005]) but not measures of circadian fluctuations (eg, 24-hour standard deviation of normal-to-normal intervals).

经过多因素校正，鲔鱼或其他烤鱼的摄入与HRV某些特异性指标相关，包括了反映更强的迷走神经张力的指数和适当的压力感受器影响如更高的正常-正常均方根连续差[P=0.001；更大的正常化高频功率[P=0.008]；更小的低频/高频功率比［P=0.03］以及更少的窦房结电冲动游走（如，更低的Poincaré比［P=0.02］和更高的短期分形定标指数［P=0.005］），但不测量昼夜波动（如24小时正常-正常间期的标准差）。

The common laws of the development of normal education of the world are analyzed mainly in the emergence of normal education and the formation of its system, the development of normal education and its further improvement and the upwardness and reform of normal education.

三、我国师范教育的特点及问题。通过对我国师范教育的简单回顾，分析了我国师范教育在发展中形成的两个突出特点，即具有两个稳定、完整的师资培训体系和正在向高层次、高水平发展。

Results: At each examination tine, rADC in infarct core was lower than normal. Within 3 days after MCAO/R, rADC in infarct margin was lower than normal, and 7 days later, rADC equaled approximatively with normal.,and even was higher than normal.

但是，无论是在梗死灶中心还是边缘，TMS组的rADC值均比相应时间点的假刺激组rADC值高；两组内，梗死边缘的rADC值均比梗死中心的rADC值高。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切