index-enpre.qmd

---
title: "SunQuarTeX-enpre Test"
subtitle: "Subtitle Here"
author: "sun123zxy"
institute: "SunQuarTeX"
date: "2024/02/22"
date-modified: "2024/02/22"
bibliography: index.bib
lang: en

format:
    beamer: default
---

# Section A

### Texts

long **long** long long long *long long long* long long long long long long long long long long long long long long long long long long sentence.

long long long long long long long long long long long long long long long long long long long long long long long long long long long paragraph.

::::: {.columns}

::: {.column width="30%"}
- left bar.
- narrow narrow narrow narrow narrow narrow narrow narrow narrow narrow narrow narrow left bar.
:::

::: {.column width="70%"}
- right bar.
- wide wide wide wide wide wide wide wide wide wide wide wide wide wide wide wide wide right bar.
:::

:::::

### Lists

- This is a list.
- A compact list.

Wow.

- This is a list.

- A sparse list.

A definition list below.

Reflexivity

: $a \sim a$

Antisymmetry

: $a \leq b \land b \leq a \implies a=b$

Transitivity

: $a \leq b \land b \leq c \implies a \leq c$

### Citations

Blah [@deepface]. Blah blah [@deepface;@eigenfaces]. Blah blah blah^[This is a footnote].

# Section B

## Subsection 1

### Code

```c++
#include<bits/stdc++.h>
using namespace std;

int main(){
    return 0;
}
```

### Tables

::: {#tbl-panel-unsolved layout-ncol=2}
|||||
|:-:|:-:|:-:|:-:|
| $L_i \times C_j$   | $2$           | $\mathbb N$   | $\mathbb R$   |
| $2$                | $4$           | $\mathbb N$   | $\mathbb R$   |
| $\mathbb N$        | $\mathbb N$   | $\mathbb N$   | ?             |
| $\mathbb R$        | $\mathbb R$   | ?             | $\mathbb R$   |

:Products {#tbl-cartesian-unsolved}

|||||
|:-:|:-:|:-:|:-:|
|$L_i^{C_j}$  | $2$           | $\mathbb N$   | $\mathbb R$     |      
|$2$          | $4$           | $\mathbb R$   | $2^{\mathbb R}$ | 
|$\mathbb N$  | $\mathbb N$   | ?             | ?               |
|$\mathbb R$  | $\mathbb R$   | ?             | ?               |

:Powers {#tbl-power-unsolved}

Several results on cardinality
:::


Referable [@tbl-cartesian-unsolved].

### Figures

![This is a figure](index-quarto.png){#fig-quarto}

Referable [@fig-quarto].

### Computations

Complex side by side. ([@fig-light-on], [@fig-light-on-1], [@fig-light-on-2])

```{python}
import numpy as np
import math
from IPython.display import Markdown, display
from tabulate import tabulate
import matplotlib.pyplot as plt

R = np.array([0,100,200,300,400,500,600,700,800,900,1000,
1100,1110,1120,1130,1140,1150,1160,1170,1180,1190,
1200,1210,1220,1230,1240,1250,1260,1270,1280,1290,
1300,1400,1500,2000,4000,math.inf])
U = np.array([24.2E-3, 0.386,0.747,1.104,1.460,1.813,2.16,2.51,2.86,3.19,3.48,
3.70,3.75,3.77,3.78,3.80,3.81,3.83,3.84,3.85,3.86,
3.87,3.90,3.92,3.93,3.94,3.95,3.95,3.96,3.97,3.98,
3.99,4.08,4.16,4.39,4.66,4.85])
I = np.array([3.6,3.6,3.6,3.6,3.6,3.5,3.5,3.5,3.5,3.5,3.4,
3.3,3.4,3.4,3.4,3.4,3.3,3.3,3.3,3.3,3.3,
3.2,3.2,3.2,3.2,3.2,3.2,3.2,3.1,3.1,3.1,
3.0,2.9,2.7,2.2,1.130,47.7E-3])
P = U*I
```

```{python}
#| label: fig-light-on
#| fig-cap: solar panel
#| fig-subcap:
#|   - I-U
#|   - P-R
#| layout-ncol: 2

fig, ax = plt.subplots()

ax.set_xlabel("U (V)")
ax.set_ylabel("I (mA)")

ax.plot(U, I, marker="o")
ax.grid(True)
ax.set_xlim(0)
ax.set_ylim(0)

plt.show()


fig, ax = plt.subplots()

ax.set_xlabel("R (Ω)")
ax.set_ylabel("P (mW)")

ax.plot(R, P, marker="o")
ax.grid(True)
ax.set_xlim((0, 2000))
ax.set_ylim(0)

plt.show()
```

## Subsection 2

### Theorems {.allowframebreaks}

:::{#thm-test}

## Test

This is a theorem.
$$
\sum_{d \mid n} \varphi(d) = n
$$
:::

:::{.proof}

This is a proof ended with a display math.
$$
\sum_{d \mid n} \mu(d) = [n=1]
$$
:::

:::{.proof}

This is a really really really really really really really really really really really really really really really really really really really really long proof.
:::

:::{#def-test}

This is a definition.
:::

:::{#exm-test}

## An example

This is an example.
:::

:::{.solution}

This is the solution to the example.
:::

:::{#exr-test}

This is an exercise.
:::

:::{.remark}

This is a remark of [@exr-test].
:::

:::{#lem-test}

This is a lemma.
:::

:::{#cor-test}

This is a corollary of [@thm-test].
:::

:::{#prp-test}

This is a proposition.
:::

:::{#cnj-test}

This is a conjecture.
:::