Neural Flow Operators Can Approximate Any Operator: Abstract Frameworks and Universal Approximations 4

Shuang Chen1, Juncai He2, Xue-Cheng Tai3

May 21, 2026

1 A detailed example↩︎

Here we include some equations and theorem-like environments to show how these are labeled in a supplement and can be referenced from the main text. Consider the following equation: \[\label{eq:suppa} a^2 + b^2 = c^2.\tag{1}\] You can also reference equations such as [eq:matrices] [eq:bb] from the main article in this supplement.

Theorem 1. An example theorem.

Lemma 1. An example lemma.

Here is an example citation: KoMa14?.

2 Proof of [thm:bigthm]↩︎

3 Additional experimental results↩︎

¿tbl:tab:smfoo? shows additional supporting evidence.

Example table.
Species Mean Std. Dev.
1 3.4 1.2
2 5.4 0.6

  1. Qiuzhen College, Tsinghua University, Haidian District, Beijing 100084, China ().↩︎

  2. Yau Mathematical Sciences Center, Tsinghua University, Haidian District, Beijing 100084, China (), corresponding author.↩︎

  3. Norwegian Research Center, Fantoftvegen 38, 5072 Bergen, Norway (), corresponding author.↩︎

  4. Submitted to the editors DATE.↩︎

Subjects

Machine Learning (cs.LG)

Numerical Analysis (math.NA)

Updated on Academus

2026/06/23 16:43 UTC