SunQuarTeX Example - enpre

Subtitle Here

sun123zxy

SunQuarTeX

2024-02-22

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.

  • left bar.
  • narrow narrow narrow narrow narrow narrow narrow narrow narrow narrow narrow narrow left bar.
  • 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 [1, pp. 1, chapter 3, sec. 2, theorem 3]. Blah blah [1], [2]. Blah blah blah1.

Section B

Subsection 1

Code

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

int main(){
    return 0; // 返回 0
}
example : (∀ x, p x → r) → ((∃ x, p x) → r) := by
  intro h ⟨a, hpa⟩ -- you may also `rcases` explicitly
  exact h a hpa

Tables

\(L_i \times C_j\) \(2\) \(\mathbb N\) \(\mathbb R\)
\(2\) \(4\) \(\mathbb N\) \(\mathbb R\)
\(\mathbb N\) \(\mathbb N\) \(\mathbb N\) ?
\(\mathbb R\) \(\mathbb R\) ? \(\mathbb R\)
(a) Products
\(L_i^{C_j}\) \(2\) \(\mathbb N\) \(\mathbb R\)
\(2\) \(4\) \(\mathbb R\) \(2^{\mathbb R}\)
\(\mathbb N\) \(\mathbb N\) ? ?
\(\mathbb R\) \(\mathbb R\) ? ?
(b) Powers
Table 1: Several results on cardinality

Referable Table 1 (a).

Figures

Figure 1: This is a figure

Referable Figure 1.

Computations

Complex side by side. (Figure 2, Figure 2 (a), Figure 2 (b))

(a) I-U
(b) P-R
Figure 2: solar panel

Subsection 2

Theorems

Theorem 1 (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.

Definition 1 This is a definition.

Example 1 (An example) This is an example.

Solution. This is the solution to the example.

Exercise 1 This is an exercise.

Remark. This is a remark of Exercise 1.

Lemma 1 This is a lemma.

Corollary 1 This is a corollary of Theorem 1.

Proposition 1 This is a proposition.

Conjecture 1 This is a conjecture.

[1]
Y. Taigman, M. Yang, M. Ranzato, and L. Wolf, “Closing the gap to human-level performance in face verification. deepface,” in Proceedings of the IEEE computer vision and pattern recognition (CVPR), p. 6.
[2]
M. Turk and A. Pentland, “Eigenfaces for recognition,” Journal of Cognitive Neuroscience, vol. 3, no. 1, pp. 71–86.