稀疏

In this study, symmetric successive overrelaxation preconditioned conjugate gradient algorithm is used to solve large linear system derived from 3-D finite-element resistivity forward modeling. Using row-indexed sparse storage mode to store coefficient matrix, the algorithm converges much quickly and requires much less storage of computer.

引入对称超松弛预条件共轭梯度迭代算法求解电阻率三维有限元计算形成的大型线性方程组，并有机结合系数矩阵的稀疏存储模式，使得三维有限元正演计算的速度大大提高而内存需求则大大减少。

First, the paper proves the well-posedness of the encryption and decryption problems, which provides theoretical bases for experiments of encryption and decryption; Then presents a fast iterative algorithm, which is proposed based on the special sparse structure of the coefficient matrix of the two-dimensional C-N difference scheme, and successfully experiments on images encryption and decryption; At the end, the security of the methods of images encryption and decryption based on the two-dimensional Pseudo -parabolic Partial Differential Equation is experimented and discussed particularly.

首先证明了基于二维连续模型的加、解密问题是适定的，为加、解密实验提供了理论依据；然后根据模型的二维C-N格式系数矩阵的特殊稀疏结构，给出快速迭代求解算法，并成功地进行了图像加、解密的数值试验；最后对基于二维伪抛物型方程的图像加、解密方法的安全性进行了详细的试验讨论。

The parallel computing of the preconditioner is the bottleneck for the parallel computing of Krylov Subspace Methods. Based on norm-minimization technique, a parallel sparse approximate inverse preconditioning method is present for the unsymmetric sparse linear systems.

7预条件子的并行计算是利用Krylov子空间方法进行并行计算的瓶颈，我们利用矩阵的Frobenius范数，提出了一种构造一般非对称稀疏线性方程组预条件子的PPAT方法，该方法具有天然的并行性。

In order to seamlessly combine NSGA-Ⅱ and the greatly different MOPSO, the special concepts (particle and its velocity, Pbest and leader) for MOPSO were dealt with within the scope of NSGA-Ⅱ: 1 particle in MOPSO was considered to be equivalent to offspring individual in NSGA-Ⅱ; 2 the concept of velocity fell into disuse; 3 the concept of Pbest also came into disuse. Instead of that, for each dimension of a particle, the nearest one among its nondominated individuals in parent population was used; 4 the leader of a particle was the individual with largest sparse degree among parent population or selected from parent population by binary tournament selection method, which of them taking effect lies on the predefined probability. In addition, a new concept, i.

为使这两种差异较大的算法实现无缝融合，在NSGA-Ⅱ算法范围内对MOPSO中特有的概念粒子及其速度、Pbest、引导者进行处理：1粒子对应于NSCA-Ⅱ中子代群体的个体；2不再使用粒子速度概念；3不再使用粒子Pbest概念，代之以从父代群体中为每个粒子的每一维寻找一个最近的该粒子非支配个体；4每一个粒子的引导者可以是父代群体中稀疏程度最大的个体或者是按照二进制随机竞赛选择方法从父代群体中选择的一个个体，具体哪一种方式发挥作用依赖于预先设定的概率。

They are defined by sparse parity check matrices, with various construction methods.

LDPC码定义在稀疏校验矩阵上，有许多种构造方法。

And the matrix coefficient of partial adjacent elements can be incorporated into certain element by using this method.

基于边界元矩阵的空间需求与求解域网格数的平方成正比，提出了边界元矩阵稀疏化方法。

I see each shining pellet in the space with the sparse arrangement.

我看见一个个发亮的小球在空间内稀疏地排列著。

Leaves palmately 3(-5)-foliolate; stipules membranous, lanceolate, ca. 8 mm, caducous; petiole 8-20 cm; terminal petiolule 2-5 cm, lateral petiolules 5-20 mm; leaflet blades ovate, elliptic, obovate, or elliptic-ovate, 7-15 × 4-8 cm, papery, sparsely pubescent only on nerves, glabrescent, base broadly cuneate to obtuse, margins with 2 or 3 teeth per cm, apex acute or caudate-acuminate.

叶具掌状3(-5)小叶；托叶膜质，披针形，约8毫米，早落；叶柄8-20厘米；顶生小叶柄2-5厘米，侧生小叶柄5-20毫米；小叶叶片卵形，椭圆形，，或椭圆状卵形， 7-15 * 4-8 厘米，纸质，只在叶脉具稀疏短柔毛，后脱落，基部宽楔形到钝，边缘每厘米具2或3牙齿，先端锐尖或尾状渐尖。

Gastric emptying was assessed by the phenol red dilution technique.

通过酚磺酞稀疏技术来评估胃排空。

A thickset man with piggish eyes and sparse blond hair, he looked nothing like Harry Potter.

他是一个粗壮的男人，有着猪一样的眼睛和稀疏的金色头发，他看起来一点也不像哈利。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。