概率椭圆

The definition and characters of Double-module quadratic residue is discussed in this paper,The arithmetic for choosing base point of Elliptic curve cryptosystem in optimal extension field is worked out and proven mathematically,moreover,the successful probability is also provided.

本文讨论了重模二次剩余的定义、性质，完整地设计出选取最优扩域上的椭圆曲线密码系统的基点的算法，并给出了选取成功的概率和相关数学证明。

In this dissertation , the main works of the author is follows:(1)The method FPI (Fast Plaintext Imbedded to the divisor) is improved, which makes the probability of the plaintext not be imbedded into the divisor nearly to zero and its velocity is fast.

在本论文中，作者主要做了以下几个方面的工作：(1)改进了明文嵌入超椭圆曲线除子的FPI(Fast Plaintext Imbedded to the divisor)方法，该方法使明文不能嵌入到超椭圆曲线的除子的概率几乎为零，且其速度较快，可用于椭圆曲线密码体制。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。