A Sample Article

MathNotebook
Set in the SpringerJournal stylesheet.
Abstract.
Every style of the MathNotebook stylesheets appears below, so this page shows what a paper looks like in this template: title block, sectioning, theorem environments numbered per section, displayed equations, and a bibliography.
1
.

Statement

Definition
1
.
1
.
A graph is a pair (V, E) with E a set of unordered pairs of distinct elements of V.
Theorem
1
.
2
.
The theorem environments share one counter, so this theorem follows the definition above and both reset at the next section.
∑
v∈V
deg(v)=2|E|
(
1
)
Proof.
Summing degrees counts every edge twice.
□
2
.

Displayed mathematics

An unnumbered display, for an aside:
χ(G)≤Δ(G)+1
Inline mathematics sits in text at the surrounding size, as in
π
e
=
-1
, and a numbered display is referenced by the live number the palette copies.
A numbered display, aligned as an align environment converts:
∂ω
=0
ω⋀ω
=-ω⋀ω
(
2
)
3
.

Subsections

3
.
1
.

A subsection

Subsection and subsubsection headings are numbered within their parent and reset with it.
3
.
1
.
1
.

A subsubsection

Remark
3
.
1
.
Remark, Question, and Observation are set like this one — italic label, upright body.
A citation is the entry's own tag, so it reads exactly as the entry it points at —
[matex]
and
[ollivier]
below — and clicking it moves there.
4
.

References

[matex]
Horvat, MaTeX: LaTeX labels in Mathematica, https://github.com/szhorvat/MaTeX
[ollivier]
Ollivier, Ricci curvature of Markov chains on metric spaces, https://arxiv.org/abs/0810.5625