Sintaxis Markdown

Ecuaciones ~ Fórmulas ~ Latex

Superíndice

\[ E=mc^2 \]

---

\[ a^2 + b^2 + c^2 \]

---

Subíndice

\[ H_2O \]

---

Fracciones

\[ \frac{1}{2} \]

---

\[ \frac{4}{5}+\frac{2}{5} \]

---

\[ \frac{4}{5}\times\frac{2}{5} \]

---

\[ \frac{4}{5}\div\frac{2}{5} \]

---

Sumatoria

\[ \sum_{i=1}^5 i \]

---

\[ \sum_{i=1}^5 \frac{2i-1}{i(i+1)} \]

---

Matrices

\[ \begin{bmatrix}5&4&8\\4&0&7\\3&5&6\end{bmatrix} \]

---

Mathpix

\[ \begin{aligned} \mathbb{E}\left\|\boldsymbol{X}^{+} \boldsymbol{\xi}\right\|_{2} & \leq\left(\mathbb{E}\left\|\boldsymbol{X}^{+} \boldsymbol{\xi}\right\|_{2}^{2}\right)^{1 / 2} \\ &=\left(\mathbb{E} \boldsymbol{\xi}^{T}\left(\boldsymbol{X}^{+}\right)^{T} \boldsymbol{X}^{+} \boldsymbol{\xi}\right)^{1 / 2}=\sigma\left(\operatorname{Tr}\left(\left(\boldsymbol{X}^{+}\right)^{T} \boldsymbol{X}^{+}\right)\right)^{1 / 2} \\ &=\sigma\left(\sum_{i=1}^{n} \lambda_{i}\left(\left(\boldsymbol{X}^{+}\right)^{T} \boldsymbol{X}^{+}\right)\right)^{1 / 2}=\sigma\left(\sum_{i=1}^{n} \sigma_{i}^{2}\left(\boldsymbol{X}^{+}\right)\right)^{1 / 2} \\ &=\sigma\left(\sum_{i=1}^{n} \sigma_{i}^{-2}(\boldsymbol{X})\right)^{1 / 2} \leq \sigma \sqrt{\frac{n}{\sigma_{n}^{2}(\boldsymbol{X})}} . \end{aligned} \]