本文引进了同馀矩阵的新概念，并讨论了它的等价变换。
A new concept of congruent matrix is introduced in the paper and its equivalent transformations are discussed.
在讲课中，要介绍同馀数问题，以及它如何转化成椭圆曲线问题。
In your lecture, I ask you to introduce the congruent number problem, and show exactly how it translates into a problem about elliptic curves.
其馀的人变卖了自己尚存的一切，一同祈求上主拯救那些在交战以前，就被凶恶的尼加诺尔卖掉了的人们。
Others sold all that they had left, and withal besought the Lord, that he would deliver them from the wicked Nicanor, who had sold them before he came near them.
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