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In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as the lack of differentiability or analyticity.

In mathematics, a singularity is in general a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as the lack of differentiability or analyticity.

在数学中，<font color="#ff8000"> 奇点 singularity</font>一般是一个给定数学对象没有定义的点，或一个数学对象在某些特定方面不再表现良好的点，例如缺乏可微性或可分析性。

在数学中，<font color="#ff8000">奇点</font>一般是一个给定数学对象没有定义的点，或一个数学对象在某些特定方面不再表现良好的点，例如缺乏可微性或可分析性。

For example, the real function

For example, the real function