The expression of output-torque error is given at the point of singularity, proving the incompatible relationship between the gimbal rate and the output-torque error.

给出了在奇异点处输出控制力矩误差的表达式，并证明了框架角速度和输出力矩误差之间的不可调和性。

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The word singularity is borrowed from astrophysics: it refers to a point in space-time - for example, inside a black hole - at which the rules of ordinary physics do not apply.

奇点这个单词来自于天体物理学：它指的是时空中(例如黑洞内部)所有物理理论都失效的一点。

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With Roger Penrose I showed that if Einstein's general theory of relativity is correct, there would be a singularity, a point of infinite density and space-time curvature, where time has a beginning.

Roger Penrose 和我曾表明，如果爱因斯坦的一般相对论是正确的，那就会有一个特例，在无限密集和空间时间弯曲这一点上，时间就会有一个开端。

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All of this will be thrust on us by something that Kurzweil calls the Singularity, a theorized point in time in the not-so-distant future when machines become vastly superior to humans in every way, aka the emergence of true artificial intelligence.

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