以下为句子列表：
英文: Chun-Chih Peng and Chung-Huang Yang , Design and Implementation for Integer Factorization and Primality Testing Tools with Elliptic Curve on Windows Platforms,2007 Symposium on Cryptography and Information Security, Sasebo, Japan, January 2007.
中文: 张家瀚、杨中皇，支援链结机制之标准化时戳实作，2007知识社群与资讯安全研讨会，文化大学，2007年5月。
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英文: Combining with the idea of rule of law, this essay demonstrates the framework of law supervision, its characteristic and rationality, and transplants the Pythagoras theorem and factorization theorem from mathematics field to the decentralization theory.
中文: 摘要本文结合法治理念来论证法律监督权的结构、特徵及其合理性，并将数学中的“毕达哥拉斯定理”或分解因式原理移植到分权理论中来。
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英文: The concept of row (column) transposed matrix and row (column) symmetric matrix is given, their basic property is studied, and the formula for full rank factorization and orthogonal diagonal factorization of row (column) symmetric matrix are presented, wh
中文: 摘要提出了行（列）转置矩阵与行（列）对称矩阵的概念，研究了其性质，给出了行（列）对称矩阵的满秩分解和正交时角分解公式，极大地减少了行（列）对称矩阵的满秩分解和正交对角分解的计算量与存储量，且没有降低数值精度。
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英文: The production static analysis in pig's factorization raises refers to, in the certain time, various sub-fields (district), each item in the pig raises takes the contrast analysis, which is an important constituent of the pig group production analysis mai
中文: 摘要工厂化养猪中的生产静态分析是指在一定时间内各分场（分区）各项养猪指标上的对比分析，是猪群生产分析的重要组成部分，主要包括种猪存栏对比、各类猪存栏对比、公母猪配种对比、母猪产仔断奶对比、乳仔猪死亡对比、大中猪死亡淘汰对比、种猪死亡淘汰对比等几个部分。
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英文: The relationship between the eigenvalue, eigenvector and the rank of the product of matrices AB and BA is discussed, and the factorization of the singular values of matrix A is obtained.
中文: 摘要讨论了矩阵乘积AB与BA的特征值、特征向量及秩等的关系，并得到了矩阵的奇异值分解。
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