加法:\(a + b = c\)
分数:\(\frac{a}{b}\)
根号:\(\sqrt{a}\)
上标:\(a^2 + b^2 = c^2\)
下标:\(a_1 + a_2 + a_3\)
小写希腊字母:\(\alpha, \beta, \gamma\)
大写希腊字母:\(\Gamma, \Delta, \Theta\)
正弦:\(\sin \theta\)
反三角函数:\(\arcsin x\)
求和:\(\sum_{i=1}^{n} a_i\)
积分:\(\int_{a}^{b} f(x) \, dx\)
极限:\(\lim_{x \to \infty} \frac{1}{x} = 0\)
导数:\(\frac{d}{dx} x^n = nx^{n-1}\)
矩阵:\(A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}\)
行列式:\(\det(A) = \begin{vmatrix} a & b \\ c & d \end{vmatrix} = ad - bc\)
等差数列:\(a_n = a_1 + (n-1)d\)
等比数列:\(a_n = a_1 \cdot r^{n-1}\)
向量:\(\vec{v} = \langle a, b, c \rangle\)
点积:\(\vec{a} \cdot \vec{b} = a_1b_1 + a_2b_2 + a_3b_3\)
绝对值:\(|x|\)
无穷大:\(\infty\)