CATALOG
Write a short introduction here. Explain the problem, notation, and what the reader will learn.
First Main Section
Start each main section with ordinary prose. Inline mathematics can be written as \(X\), and display mathematics as
\[I(X;Y)=H(X)-H(X\mid Y).\]Optional Subsection
Subsections organize the catalog but do not reset mathematical-statement counters.
Definition (Example Object).
An example object is an object satisfying the conditions listed here. The Definition block is pale yellow and uses its own counter.
Axiom (Example Rule).
State an assumed rule here. Axiom uses the same pale-blue visual family as Theorem, but it has an independent counter.
Theorem (Main Result).
State the theorem clearly here. A theorem can contain several paragraphs, lists, and display equations:
\[P(A)\leq 1.\]Proof.
Give the proof here. Proof is intentionally not numbered.
Lemma (Supporting Result).
State a supporting lemma here. Lemma shares its counter with Theorem, Proposition, and Corollary.
Proposition (Useful Property).
State a proposition here.
Corollary (Immediate Consequence).
State a corollary here.
Remark (Interpretation).
Explain an interpretation, limitation, convention, or subtle point. Remark has its own counter and can be cross-referenced.
Example (Binary Case).
Work through a concrete example. Example has its own counter and can be cross-referenced.
Cross-References
Use an empty link with class statement-ref; the page fills in the correct type and number automatically:
<a class="statement-ref" href="#thm-main-result"></a>
For example: By , the desired bound holds. The interpretation in and the calculation in explain why.
When a statement moves to another main section, these displayed reference numbers update automatically because the links point to stable ids.
Other Common Elements
A normal Markdown list:
- First item.
- Second item.
A block quotation:
Put a short quotation or highlighted observation here.
A code block:
def example(value):
return value
An image stored under assets/images/blog/your-post-name/:
Conclusion
Summarize the main result, its interpretation, and any open questions or next steps.
References
- Author, Title, venue or publisher, year. Link