不光滑的

Secondly, using the relation between the weighted modified K-functional, the weighted modulus of smoothness ,the weighted main-part modulus of smoothness . we get the pointwise direct and inverse approximation theorem with Jacobi weight for Szdsz-Kantorovich operator. Thus some results on w = 0w(x denotes the weight function, Ditzian-Totik modulus and classic modulus are extend.

其次，引入一种改变的带权K-泛函，利用带权光滑模和带权主部光滑的关系及带权光滑模与改变带权K-泛函的等价性，关于Szász-Kantorovich算子，讨论了一阶矩不为零的算子的点态带Jacobi权逼近正定理及等价定理，推广了已有的权为零及Ditzian-Totik光滑模和古典光滑模的结果。

The present studies showed that two cell populations were found in haemocytes: large cell with high granularity and small cell with low granularity by flow cytometry FCM on light scanttering pattern. Two distinct cell types were identified based on phase contrast microscope: one type of cell was dark and dioptric aberration, while the other was bright and dioptric strong. By Giemsa and H.E staining, cytoplasmic staining were heterogeneous and internal particles were obvious in one type of cell, while cytoplastic staining were homogeneous and internal particles were inexistent in the other type of cell. By transmission electron microscope, we found that the mitochondria, Golgi apparatus organelles were rich and internal particles were obvious in one type of cells, and contrary to the another cells.

流式细胞术光散射图谱显示血细胞被分两类，一类为颗粒度高的大细胞，另外一类为颗粒度低的小细胞；相差显微镜观察显示，血细胞可分为胞体暗、折光性差和胞体明亮、折光性强的两类； Giemsa和H.E染色显示细胞分为胞质染色不均一、胞内颗粒明显和胞质染色均一、胞内颗粒不明显的两类；透射电镜超薄切片观察显示，颗粒明显的细胞胞质内线粒体、高尔基体等细胞器较丰富，颗粒不明显的细胞胞质内细胞器较少；负染结果表明血细胞主要分为表面不光滑、突起明显和细胞表面光滑、突起较不明显的两类。

The contents are the following:In chapter two, the existence and multiplicity results for the following equation of p-Laplacian type are obtained.For the elliptic quasilinear hemivariational inequality involving the p-Laplacian operator,in order to use the mountain pass theorem proving the existence result, the authors usually need to use the uniform convexity of the Sobolev space to prove the energy function satisfies the PS condition. But for the p-Laplacian type equation mentioned above, this method is no use. To overcome this difficulty, the potential function is assumed to be convex, then I prove the existence result and by using the extension of the Ricceri theorem, the multiplicity result for the problem is obtained.

在第二章我们首先考虑关于以下p-Laplacian型(p-Laplacian type)方程非平凡解及多解的存在性对于带有p-Laplacian算子的椭圆拟线性半边分不等式问题，为应用非光滑的山路引理证明解的存在性，在证明方程所对应的能量泛函满足非光滑的PS条件时，需利用Sobolev空间的一致凸性，但是对于具有更一般形式的算子的p-Laplacian型方程，不具备上述性质，在文中为克服这一困难，本人对位势泛函做了一致凸的假设，从而证明了解的存在性，并应用推广的Ricceri定理，证明了方程三个解的存在性。

We have done some exploratory work from several aspects to generalize the Brownian motor to the more real situation: The model which molecular motor has internal degree of freedom; The track on which the Brownian particle moves cannot be completely ordered and contain certain amount of disorder, the model is rocking ratchets with stochastic potentials; A two-dimensional ratchet model with a non-conservative force to realize the coupling between the mechanical and chemical processes.

目前大多数的研究工作是把分子马达抽象为一维的点粒子，我们在推广布朗马达到更真实的方向上开展了以下几个侧面的研究分子马达动力学行为的探索性工作：分子马达具有内部结构的电偶极子模型；考虑分子马达的轨道不规则、不光滑的摇摆棘轮模型；提出一个具有非保守脉冲力场的二维棘轮模型。

By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth L-M method based on the subdifferential.

将概率最优潮流表述为随机非线性规划问题后，利用非线性互补函数将该问题的KKT条件进行转化，基于转化后的非线性代数方程组，利用一次二阶矩法确定了以待求量的数字特征表示的概率最优潮流模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑L-M方法求解。

In the POPF model, wind farm is modeled by the probabilistic wind farm model considering the reactive power-slip characteristic, and the inequality constraints include not only the unit output constraints, the ratio constraints, the voltage constraints and the line current constraints but also the reactive compensation capacity constraints in wind farm and the system climbing capacity constraints per minute. By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth Newton-type method based on the subdifferential.

概率最优潮流模型中，风电场采用考虑无功功率—滑加热器差特性的风电概率模型，不等式约束中除了机组出力约束、有载调压变压器变比约束、电压约束和支路电流约束，也考虑了风电场无功补偿容量约束、系统的分钟级爬坡能力约束；使用非线性互补函数将概率最优潮流的KKT条件转化为一组包含有不光滑函数的非线性代数方程组，然后基于一次二阶矩法确定了以待求量的数字特征表示的POPF模型，由于该模型包含不光滑函数，因此采用基于次微分的半光滑牛顿型方加热器法求解。

Result］ The color and elasticity of steamed breads made from 250 g flour added with 50 g cactus juice and 30 g amomum juice were bad and their surface was not smooth;when the addition amount of cactus juice was 70 g,the elastic extensibility of steamed breads was bad;when the addition amount of cactus juice was 90 g,the elasticity of steamed breads was good and their surfaces were smooth.

结果］ 在250 g面粉中加入50 g仙人掌汁、30 g砂仁汁蒸制的馒头色泽、弹性不佳，表面不光滑；加入70 g仙人掌汁时馒头的弹性延伸性不好；加入90 g仙人掌汁时，馒头的弹性佳，表面光滑。

Mutual information functions are often unsmooth. There are lots of local maximums, which abversely obstruct optimization algorithms.

但是，基于互信息的目标函数经常是不光滑的，存在许多局部极值，给问题的求解带来了很大的困难。

Although the surface of ordinary glass looks very smooth, but in fact, we can be found through electron microscopy, ordinary glass in fact not smooth and porous, we know that, like a decaying wood, Bai will be a light went off Cracked, but imagine if one does not rot the wood, it is not the number of internal gap, Bai is very different to the situation!

普通玻璃的表面虽然看上去十分的光滑，但实际上，我们通过电子显微镜可以发现，普通玻璃实际上不光滑且多孔，我们知道，就好比一根腐烂的木头，轻轻一掰就会应声断裂，但试想如果是一根不腐烂的木头，它的内部根本没有多少空隙，掰起来就是截然不同的情况了！

The initial Biyan Hu painted a wall of transparent glass did not scrub pots, wall smooth, not attached to ink and color, can only draw a few simple images and patterns, such as: Guo Guo cabbage, Lung, Fung and Mr T's landscapes, figures , Later, the arts and people with iron Biyan Hu Jin Gangsha water in the shake in the face of grinding back and forth, so that the wall was Biyan Hu Moshaboli the milky white, delicate but not smooth, easy attachment Mose, the same effect as Xuan paper, painted snuff Later, the pot has some fine works, and then later developed into poetry and painting Mao-art boutique.

最初的内画鼻烟壶是内壁没有磨砂的透明玻璃壶，因为内壁光滑，不易附着墨和颜色，只能画一些简单的画面和图案，比如：蝈蝈白菜、龙、凤和简笔的山水、人物等，后来，艺人们用铁砂和金刚砂加水在鼻烟壶的内面来回的摇磨，这样使鼻烟壶的内壁呈乳白色的磨砂玻璃，细腻而不光滑，容易附着墨色，效果就象宣纸一样，内画鼻烟壶后来出现了一些比较精细的作品，再后来发展为诗书画并茂艺术精品。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。