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The author constructed a linear schemes type Region-Project-Join-Normal-Form based on lossless join decomposition, and gave the form of RPJNF through the presentation of equivalence between semantic variable independence and syntax variable independence under finite precision domain. Some other new constraint data dependencies including partitioned multi-region existence dependency and single region existence dependency were also presented. A result of variables set under linear transformation was discussed.

文中给出并证明了多区域存在依赖满足的几条推理规则；提出并证明了线性序约束关系进行模式无损连接分解的充要条件是变量集满足变量独立和多区域存在依赖；设计了一种基于模式无损连接分解的区域投影连接范式；通过证明有限精度域上语义变量独立和语法变量独立的等价性，给出有限精度域上RPJ范式的表达形式。

Dendritic-linear block copolymers are also a type of structurally novel polymers, which have a flexible linear chain and one or two semirigid dendritic blocks. The copolymers have many unique melt and solution properties, their basic theory and practical applications have been studied.

树枝状-线形嵌段共聚物是另外一类包含树枝状聚合物结构单元的聚合物类型，这种复合结构结合了嵌段和树枝状聚合物的优点，表现出独特的熔融和溶液性质，在理论研究和实际应用方面都具有重要的研究价值。

This paper studies the linear separability of Chinese characters through experiment and discusses the probability of applying linear classifier in Chinese character recognition.

本文通过实验研究了在汉字识别中应用线性分类器的可能性，考察了汉字之间的线性可分性。

For a new kind of linear chaotic operator, one class of nonwande-ring operators (invertible and bounded linear nonwandering operators) are studied, and their invariance under small perturbation in finite dimensional separable Banach Space is proved.

对于一种新型的线性混沌算子―非游荡算子，研究Banach空间上的一类特殊非游荡算子―可逆线性有界非游荡算子，证明它的小扰动下的不变性。

This paper consider centrifugal force and coriolis force for ideas of Planetary LabCD Valve Model and Single Point Fluid Separation Model, then the relation of critical rotation speed and planetary angle is linear which control parameter of critical rotation speeding in the Planetary LabCD Valve Model and compare with James Lee theory, and define γR in SPFS Valve Model to show the relation of the low rotation speed is linear and is fixed where the high rotation speed for utilizes any rotation speed.

本论文考虑离心力与科氏力之影响，且提出行星式碟片阀门模式与单点流体分离阀门模式两模式，其中行星式碟片阀门模式，其临界转速与行星角之大小近於线性变化，可当於控制阀门之临界转速之设计参数，且比较在阀门设计上考虑行星角来控制阀门临界转速与James Lee之阀门临界转速理论可以得知，从吾人所提出行星式碟片阀门模式可以得到与实验结果相同的趋势。

Final1y, using the best linear Kalman filter in the sense of linear minimun mean square error, the sequential filtering fusion of asynchronous sampling measurements in this period can be realized.

最终，使用线最小均方误关节意义下最优的线性卡尔曼滤波器实现本周期内异步采样量测的顺序滤波融合。

The importance of testing for serial correlation in the error terms of a linear regression model has been recognized for many years. Some authors have investigated in detail this problem in the linear regression model.

多年来，人们已经认识到检验线性回归模型中误差项是否存在序列相关的重要性，(来源：ABc4C论文网www.abclunwen.com)并且对这个问题进行了广泛深入的研究。

Although the first thesis on Ferroresonance was published in 1920, FR is still not a fully understood phenomenon. This thesis focuses on single phase FR in Gas Insulated Switchgearwith inductive potential transformers, fed by the circuit breaker grading capacitance. In principle, FR is a forced oscillation in a non-linear series resonance circuit including a capacitance and non-linear inductance, which shows significantly distorted voltage and current waveforms.

中文摘要虽然第一篇有关铁磁共振（Ferroresonance，简称FR）的文献早在1920年即被发表，但是此一特殊的现象至今仍然未被完全了解，本论文将讨论电力系统中之气封绝缘开关设备（Gas Insulated Switchgear，简称GIS），由於断路器的极间电容和电感型比压器（Potential Transformer，简称PT）的非线性电感所构成的单相铁磁共振；理论上，铁磁共振是由电容和非线性电感所构成的非线性串联共振，造成电压和电流波形明显的畸变。

According to the computational stability analysis conducted to the linear term time difference scheme in simple harmonic motion equation, one new semi-implicit integration scheme also is designed. By adopting a kind of revised time-explicitdifference scheme to these linear terms still included in spectral model governing equations, this defect of spectral model only partly used in semi-implicit integrating scheme, can be overcome to some degree.

以简谐振动方程中线性项时间差分格式对其计算稳定性影响为理论依据，本文设计了一种新谱模式半隐式时间积分方案，此方案通过对一般谱模式求解框架中那些隐含的线性项采用了一种显式修正的差分格式，可有效克服其国际谱模式半隐式时间求积方案实质上只是部分应用了半隐式差分格式的问题。

This paper analysised and researched some existing algebra feature extraction method such as KL transformation, singular value decomposition、 Fisher linear discriminant and optimal discriminant transformation. On the base of this、we expound a method which named uncorrelated optimal discriminant transformation to accomplish the face recognition.Uncorrelated optimal discriminant transformation is a improvement of Fisher linear discriminant and optimal discriminant transformation.

本文对一些现有的代数特征提取方法如KL变换、奇异值分解、Fisher线性鉴别以及最佳鉴别变换做了分析和研究，在此基础上我们提出使用具有统计不相关最佳鉴别变换的投影方法来进行人脸识别，它是由Fisher线性鉴别和最佳鉴别变换改进、完善而来的。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。