由此，把复数域上矩阵论的若干重要定理推广到了四元数体。

Accordingly, we extended several important theorems of complex matrix theory to the quaternion field.

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检查你游过的距离，并重复数次，每次蹬腿之间，从指尖到脚尖绷紧你的体线，通过保持更好的流线型，尽可能每次游得更远一点。

Check the distance you've traveled and repeat several times, trying to travel a bit farther on each, by streamlining better between kicks, tightening your bodyline from fingertips to toes.

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