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公式转化好像失效了

现在转化出来的公式, 都直接是纯文本的形式, 不戴$分界符了.

像下面的样子

### **2.1 下降方向的定义**

对于可微函数 f,在某一点 x_k\in R^n处,如果存在存在向量满足:

\nabla f\left( x_k \right) ^Td_k<0 \quad (3.1) \\

那么称 d_k 为函数 f 在点 x_k 处的一个下降方向。

从上述下降方向的定义,容易验证:如果函数 f 在点 x_k 处存在一个下降方向 d,那么对于任意的 T>0,存在 t\in (0,T],使得

f(x_k+td_k) < f(x_k) \quad (3.2) \\

证明上述命题其实就是一阶泰勒展开:

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