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Taking a heavy truck cab as the example, a model of the spotweld space based on finite element was built to analyse the torsional stiffness of the model, and the amount and layout of the spotweld using the discrete variable topology optimization were optimized. Comparing with the original model in welding spot's number and the torsional stiffness, the optimized model has less number of welding spot, but the torsional stiffness of the two model is almost the same.

以某重型卡车驾驶室为例,在有限元模型基础上建立焊点空间模型进行扭转刚度分析,并采用离散变量拓扑优化方法对焊点的数量及空间布局进行优化,通过优化前后的对比可知,优化后在不降低扭转刚度的同时减少了焊点数目

Dot Pitch 点距 In monitors, the dot pitch is the distance between the holes in the shadow mask; the smaller the number, the sharper the image.

在监视器里,点距是距离(测量在彩色显象管阴罩过程中,在洞之间,用毫米);更小的数目,骗子这幅图像。如果你有选择,A 。虽然,但是28毫米点距是更好的。

The amount of track points, including the double cusp points, which could be mostly realized by this kind of synthetic problems, was analyzed.

分析了包括双尖点在内,该类综合问题最多能实现的轨迹点数目

Similarly, numerical experiments are performed to demonstrate the efficiency and efficacy of the geodesic distance based MFS for piecewise smooth domain. In addition, the effect of the number of collocation points and the stability with respect to the anisotropy are discussed.In Appendix A.

在后面同样给出了数值例子以说明方法的优越性,不同的是这里考察了分片光滑的几何区域,并加上了配置点数目对数值结果的影响以及该方法对各向异性的稳定性分析。

The new feature vector is constructed with the numbers of minutia points in every region.

本算法以指纹图像参考点为中心,分扇区对细节点数目进行采样以构造新的指纹特征向量。

Second, compared with direct tensor product in multi-dimensional space, which suffers from the exponential increase of the number of sampling points with the number of variables, the Sparse Grid technique decreases the number of collocation points dramatically while the accuracy is guaranteed, and further reduces the computational complexity.

其次,为了避免通常用于多维空间的直接张量积随机配置法所带来的采点数随空间维度指数增长的缺点,采用稀疏网格采点技术,在保证建模精度的同时大幅度减少了配置点数目,从而进一步降低了随机配置法的计算复杂度。

While can be extended directly to take into account more image point features, extensions of the cross-ratio based method is not straightforward.

其中第一种方法,相较於早先我们所曾经使用的Cross-Ratio定位方法,两者在使用最少特徵点数目(4点)之下有等价关系,但对於特殊情况的处理,实验结果显示本论文所提之方法,有著较优的处理效能以及精确性。

By employing the Jordan-Wigner transformation and a modified mean field method, we are able to determine its ground-state quantum phase diagram approximately. The chapter IV is the main part of this Thesis. It contains the main innovations in our work. We propose and study in detail a S=1 Ising chain with the interplay of single-ion anisotropy and dimerization. The main results and innovations are the following: We show that the total number of the zero-component of spins at each site is a conserved quantity. This quantity, which may intuitively called as hole's quantum number, is hidden in the system. We show further that the hole's number in the ground-state is zero; By using the Jordan-Wigner transformation, we map this model onto a series of subsystems described by the spin 1/2 dimerized transverse Ising model. We solve the subsystems exactly, by presenting the exact wave functions and spectra;We show that this system exhibits a series of quantum phase transitions by varying the dimerization strength. We determine the quantum critical points exactly. We also show that the criticality is the same as that of the uniform S = 1/2 transverse Ising chain.

第四章是本文的重点及主要创新内容,我们具体研究了自旋为1的在横向单离子晶格场中的一维二聚化Ising链,我们得到的主要结果和创新之处是:(1)证明了这一模型具有一种隐藏的对称性,即自旋第三分量为零的格点数目是一个守恒量,并证明基态出现在空穴数目为零的子空间中;(2)利用Jordan-Wigner 变换将此模型变换到一系列自旋为1/2的横磁场中的二聚化Ising 模型,并给出了相应严格的波函数及能谱;(3)我们发现系统的基态随着二聚化强度的变化将呈现出一系列量子相变,我们得到了量子临界点的精确位置,并证明其临界性质与自旋为1/2的横磁场中的均匀Ising 链中的临界行为属于同一普适类。

The pixel amounts of the pixel lines can be forecasted,referring to the pixel amount of the first pixel line.Then,two pixel lines can be drawn through the symmetry of a line.

该算法利用直线的第一像素行的像素点数目来计算其余各像素行的像素点数目,一次可以预测一个像素行,再利用直线的对称性一次生成两个像素行。

The method could be used for all sorts of random variable using equiprobable transform formula. Studied the influence of the integrate points to the response random.

通过随机变量的等概率变换,这一方法可以应用到任意分布形式的随机变量上;进一步,考察不同积分点数目对响应随机量的影响,结果显示,在很少的积分点下,响应均值就能达到较高的精度,随着积分数目的增加,响应方差的精度逐步提高。

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从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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