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Put the discrete algebraic equations of initial derivative conditions and algebraic equation system of governing differential equation together to form a new algebraic system.

采用重心Lagrange插值近似未知函数，推导了未知函数各阶导数微分矩阵的显式表达式，建立了求解二阶常微分方程初值问题的重心Lagrange插值配点法。

We present a general method to construct blinding functions of discrete-logarithm-based (simply DL-based) blind signature schemes by analyzing the algebraic form of blinding function, thus solve the problem of blinding DL-based signature schemes completely.

从盲化函数的代数形式入手给出盲化函数的构造方法，完整地解决了基于离散对数数字签名的盲化问题，对可盲化的情况给出统一的最一般的盲化方案，对不可盲化的情况证明其不可盲化。

We know that the algebraic limit G of discrete group sequence 〓may be nondiscrete even with the condition that G is nonelementary.

其次，我们给G加以适当的条件，也得到了〓变换群集〓的上述结果。

In the process of processing the digital images, a modified, easy and valid algorithm between global binarization and local binarization are researched in case that the processing objects are specific in this paper. Digital images algebraic operation and guide line for wiping the discrete offending points are confirmed. Not only the program that can realize the algorithm but also handling system is built. The applicability that the relative processing method is used to solve the practical application problems is discussed.

本文在对采集到的数字图像进行计算机处理的过程中，针对所处理对象的特殊性，研究了便于处理且有效的融合全局二值化和局部二值化思想的改进的图像二值化处理方法和算法；确定了在比较复杂的背景下提取有用的前景信息的数字图像代数运算方法和离散干扰点的去除判别准则，并编写程序实现了这一算法，建立了比较有效快速的处理系统；探讨了相关处理方法在解决实际应用问题时的适用性。

In this paper, a new real AdaBoost algorithm based on multithreshold method was developed. Through the selection method of multioptimization threshold and combining the strategy of weak classifier threshold selection in discrete AdaBoost algorithm, the rational division of sample space was implemented.

对基于连续AdaBoost算法的人脸检测方法进行了改进，结合离散AdaBoost中弱分类器的阈值选取策略，通过多重最优阈值选择方法实现了样本空间的合理划分。

First of all,a more reasonable dither matrix is constructed through element re-composition and discrete rotation based on the primary dispersed-dot Bayer dither matrix.

首先，将原驱散式Bayer抖动矩阵进行元素重组和离散旋转以构造一个更为合理的抖动矩阵，然后按照新矩阵对图像进行半色调化处理。

The system can receive and pretreat the discrete data of TXT format, realize different pattern three-dimensional visualization of line, different color and texture, etc. and has the functions of real time dynamical browse, three-dimensional coordinates query, grid data and three-dimensional figure export etc.It has too the functions of three-dimensiona contrastive figure drawing and contrastive data export of alterant riverbed terrain.

该系统能够接受TXT格式的离散数据并进行预处理，实现线框、不同设色、光照、纹理映射等不同模式的三维河床地形可视化，具有实时动态浏览、三维坐标查询、网格数据及三维图形输出等功能；同时，还具有河床地形冲淤变化前后叠加三维对比效果图的绘制以及对比数据的输出等功能。

Parrondo's paradox describes that given two games, both of them are losing, when alternated in a periodic or random fashion, can produce a winning result. In this paper, we theoretically analyze the situation that game A and B are played in any alternating order using discrete Markov chain technique when modulo M is equal to four.

Parrondo悖论定律为对于给定的两个博弈，如果每个博弈输的概率都大于赢的概率，那么当这两个博弈随机或周期进行时就可能产生一种获胜的结果。

In the fourth chapter, we build the model of coefficient on one dimension partial differential equation and adopt finite element method to discrete partial differential equation and in the fifth chapter, we employ GP to identify and build the model of right-side function and adopt over-relaxation or alternating direction implicit method to solute difference equation.

在求解这些偏微分方程连续系数反演或右端连一一一~武卫1里鱼立二大一至」夔里匕崖匕位止透二立一一一一续函数的适应值评价中，我们都采用H'一范数正则化来解决连续参数的识别问题。

Expression of Sox2 in the chick retina was detected in progenitor cells, in cells at a discrete location in the layers of amacrine and ganglion cells, and in Muller glia.

在多能干细胞中检测到了鸡视网膜中Sox2的表达，其位于无长突细胞，节细胞和Muller胶质细胞层的离散位置的细胞中。

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。