八元数是一种不结合代数，关于它的结合运算性质知之甚少。
Octonion algebra is a non_associative algebra, and only a few associative calculating properties are known.
他说，八元数是否能对这现实世界做了什么事情，也仍然只是人们的猜测罢了。
"Whether octonions have anything to do with the real world is still anybody's guess," he says.
杜福，他自己也并不知道八元数的价值。他指出，他没有什么经过试验测试的理论，八元数就突然出现了。
Duff himself is agnostic about the value of octonions, pointing out that no theory in which they pop up has yet been tested by experiment.
八元数实在是个古怪的东西，它们是仅有的可能做除法的四种数制中之一，因此容许运行满量程的代数运算。
They are one of only four number systems in which division is possible, and so allow the full range of algebraic operations to be performed.
八元数实在是个古怪的东西，它们是仅有的可能做除法的四种数制中之一，因此容许运行满量程的代数运算。
Octonions are indeed odd creatures. They are one of only four number systems in which division is possible, and so allow the full range of algebraic operations to be performed.
既然如此，究竟为什么我们要关心八元数呢？这是因为，对理论物理学的一些问题，它是一个非常重要的工具。
So why bother with octonions at all? It's because, for some problems in theoretical physics, they are an invaluable tool.
八元数的八维并不仅仅有趣在数字8上，实际上，Baez强调了8只是起最喜爱的三个数字中的一个(其他的两个是5和24)。
The eight dimensions of the octonions aren't the only interesting thing about the number eight, however. Baez highlights the number eight as one of his three favorite Numbers.
第一个字节定义后面紧跟的八位元数，如果是7f或更小，这就是等价的ascii值。
The first byte defines the number of octets to follow, or if it is 7f or less, it is the value of an ASCII equivalent.
本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。
The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.
值以必要的前置零字元来表示，以确保这值最少有八位数长度。
The value is represented with leading zeros as necessary, to ensure that the value is a minimum eight digits in length.
值以必要的前置零字元来表示，以确保这值最少有八位数长度。
The value is represented with leading zeros as necessary, to ensure that the value is a minimum eight digits in length.
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