t1一些常用的公式
第三章
- 这是第一个题
我可以在这里写一下答案
| what | what |
|
|---------|------------------|-----------------|
|123|234| 234|
|
\(\sum_{i=0}^{(n+1)} {\alpha}^2=\frac{(2n+1)(n+1)n}{6}\)
\({\beta}\)
\({\omega}\)
\({\gamma}\)
\(\delta\)
\(\Delta\)
\(\Omega\)
\(x_i^2\)
\(log_i 2\)
\(x_{i_2}^2\)
\(10^10\)
10^{10}
\(10^{10}\)
\((2+3)[3+4]\)
\({}\)
\(\{\}\)
\((\frac{\sqrt x}{y})\)
\(\left ( \frac {\sqrt x}{y^3}\right)\)
\(|x|\)
|x|
\(\vert x \vert\)
\(\Vert x \Vert\)
\(\langle x \rangle\)
\(\lceil x \rceil\)
\(\lfloor x \rfloor\)
\(\left.\frac12\right\rbrace\)
\(\frac12\rbrace\)
\(\Biggl(\biggl(\Bigl(\bigl((x)\bigr)\Bigr)\biggr)\Biggr)\)
\(\sum_1^i\)
\(\int_1^4\)
\(\int_{i=0}^\infty\)
\(\prod\)
\(\bigcup\)
\(\bigcap\)
\(\iint\)
\(\iiint\)
\(\iiiint\)
\(\idotsint\)//应该是f..f
\(\int{\frac {sin x+x}{1+cos x}}\)
\(\frac{a+1\over b+1}\)
\(\mathbb asdf\)
\(\Bbb asdf\)
向量\(\mathbf \alpha\)
\(\mathit a\)
\(\pmb a\)
\(\sqrt[3]{\frac {x}{Y}}\)
\(\sin x\)
\(\lim\limits_{x\to 0}\)
\(\operatorname{Spec} A\)
\(\lt \gt \le \leq \leqq \leqslant\)
\(\geqslant\ge \geq \geqq \geqslant \neq\)
\(\not\lt\)
\(\times \div \pm \mp\)
\(\cup \cap \setminus \subset \subseteq \subsetneq \supset \in \notin \emptyset \varnothing\)
\({n+1 \choose 2k}\)
or
\(\binom{n+1}{2k}\)
\(\begin{eqnarray} \sqrt{37} & = \sqrt{\frac{73^2-1}{12^2}} \\ & = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\ & = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\ & = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\ & \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right) \end{align}\)
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\(\sum_{i=0}^n i^2 = \frac{(n^2+n)(2n+1)}{6}\)
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