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In this paper, an extended divide and conquer algorithm is intended proposed, which is for solving the real symmetric band generalized eigenvalue problem under distributing environment Eigenvalue partition theorem is presented and proved Based on divide and conquer by extension, this algorithm computes generalized eigenpaires of symmetric band matrix pencil by bisection and generalized Rayleigh quotient iteration Theoretic analysis and numerical results show that this algorithm is better than the classic software package LAPACK when bandwidth is small and the scale is large Combined with multisection, which has good parallelism, it got good effects under distributed environments

提出了分布式环境下计算对称带状广义特征值问题的一种扩展分治算法，给出了特征值分割定理及其证明算法在扩展分治的基础上，利用二分压缩结合广义Rayleigh商迭代计算广义特征对理论分析和数值实验表明，对于窄带宽大规模的广义特征值问题，该分治算法明显优于LAPACK软件包结合并行性好的多分法，在分布式环境下获得了很好的并行效果1 引言本文研究了对称带状广义特征值问题Ax =λBx ( 1)的并行计算，其中，A ，B均为半带宽为r的n阶实对称带状矩阵且其中之一是正定的本文总假设B是正定的求解此问题有两种传统方法，第1种方法是通过计算矩阵B的Cholesky分解，将问题( 1)转化为标准特征值问题[1～3] ，进一步

Record ways presented by grade four students in test question five (Divide three-digit by three-digit, can get one-digit and a three-digit, which is an inclusion division with reminder question) and test question 7 (Divide two-digit by three-digit, can get one-digit and a two-digit, which is a halved division with remainder question) of the written information are the least.

所呈现的109种记录方式为最多；四年级学童在笔试资料的第5题（三位数÷三位数＝一位数…三位数，有余数的包含除问题。）及第7题（三位数÷二位数＝一位数…二位数，有余数的等分除问题。）所呈现的29种记录方式为最少。

This essay discusses the two tradition in western philosophy of education : the divide between reasoning rational value education tradition represented by Plato and the rhetorical education tradition represented by Isocrates, and explains the difficulties and revelations brought by this divide especially for China in which there is no religion value education.

本文论述了西方教育哲学中的两大传统：以柏拉图为代表的认知理性价值教育传统和以伊索克拉底为代表的修辞教育传统的产生背景和主要思路，并展示了它们的原初分离，最后通过简要对比中国传统教育，来说明这种西方教育哲学的这种原初分离给后世特别是没有宗教价值教育的中国带来的困难和启示。

Privileged'.''''.'instruction'.'' and arithmetic traps such as overflow, underflow, and divide by zero.

特权'。''''。'指令'。''和诸如上溢出、下溢出与除0等的算术运算陷井。

Since it's a divide-by-4 voltage divider, VOUT goes to 20V and it stays there because it's a real-time system, constantly adjusting to changing conditions.

由于分压比为4，所以最终的输出电压将保持在20V，因为这是一个实时的系统，会对变化的状况保持调节。

The literature the formings of styles of"ease", with latent ease divide by the influences of culture, it it says to be writer's latent result who ease pursues, as soon as it is produced, Have influenced the choice of the writer's life conversely.

逸的文学风格的形成，与隐逸文化的影响不可或分，它可说是作家隐逸人生追求的产物，而它一旦产生，又反过来影响了作家的人生选择。

In the long-term of the education teaching process, the head quarter appear a student study effect of two pole divide phenomenon, divide "learn excellent living" and"learn to trap to living" is two greatest categories, particularly learn to trap living of the problem be more and more valued by the large teacher.

论文在长期的教育教学过程中，总会出现学生学习效果的两极分化现象，分化出&学优生&和&学困生&两大类别，尤其是学困生的问题越来越受到广大教师的重视。

In the long-term of the education teaching process, the head quarter appear a student study effect of two pole divide phenomenon, divide "learn excellent living" and"learn to trap to living" is two greatest categories, particularly learn to trap living of the problem be more and more valued by the large teacher.

在长期的教育教学过程中，总会出现学生学习效果的两极分化现象，分化出&学优生&和&学困生&两大类别，尤其是学困生的问题越来越受到广大教师的重视。在长期的教育教学过程中，总会出现学生学习效果的两极分化现象，分化出&学优生&和&学困生&两大类别，尤其是学困生的问题越来越受到广大教师的重视。

Two blue color electric lights divide by rear from two sides behind me.

两道蓝色电光由后方左右两侧向我劈来。

Most are unicells that divide by binary fission.

大多数是二分裂的单细胞。

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。