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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>一般是给定数学对象未被定义的点，或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 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。

has a singularity at <math>x = 0</math>, where it seems to "explode" to <math>\pm\infty</math> and is hence not defined. The absolute value function <math>g(x) = |x|</math> also has a singularity at , since it is not differentiable there.

has a singularity at <math>x = 0</math>, where it seems to "explode" to <math>\pm\infty</math> and is hence not defined. The absolute value function <math>g(x) = |x|</math> also has a singularity at , since it is not differentiable there.

在x=0处有一个奇点，在这里它似乎“爆炸”到±∞，因此没有定义。绝对值函数g（x）=| x |在也有奇点，因为它在那里不可微。

在x=0处有一个<font color="#ff8000"> 奇点 singularity</font>，在这里它似乎“爆炸”到±∞，因此没有定义。绝对值函数g（x）=| x |在x=0处也有奇点，因为它在那里不可微。