mirror of
https://github.com/zoo-apps/papers.git
synced 2026-10-30 14:56:54 +00:00
52 lines
1.4 KiB
TeX
52 lines
1.4 KiB
TeX
\section{Experience Library Examples}
|
|
|
|
|
|
\subsection{Mathematical Reasoning}
|
|
|
|
\begin{verbatim}
|
|
[G0]. When solving geometry problems with intersections,
|
|
validate solutions lie within bounded regions, not
|
|
extensions, to avoid extraneous answers.
|
|
|
|
[G1]. For expected extreme statistics in combinatorial
|
|
problems, use direct enumeration for small sizes.
|
|
|
|
[G10]. When using mathematical invariants to prove
|
|
impossibility, always validate against known
|
|
achievable states or small cases.
|
|
|
|
[G21]. For complex polynomials with real parameters,
|
|
separate real/imaginary parts to find when
|
|
real roots exist.
|
|
\end{verbatim}
|
|
|
|
\subsection{Code Generation}
|
|
|
|
\begin{verbatim}
|
|
[C0]. Before implementing complex algorithms, write
|
|
unit tests for edge cases (empty input, single
|
|
element, maximum size).
|
|
|
|
[C5]. When optimizing nested loops, consider whether
|
|
inner loop can be vectorized or replaced with
|
|
hash map lookup.
|
|
|
|
[C12]. For recursive functions, always define base
|
|
case first and verify termination condition.
|
|
\end{verbatim}
|
|
|
|
\subsection{Creative Writing}
|
|
|
|
\begin{verbatim}
|
|
[W0]. When developing character arcs, establish clear
|
|
motivation in first act to justify later
|
|
decisions.
|
|
|
|
[W3]. In descriptive passages, prefer specific sensory
|
|
details over generic adjectives.
|
|
|
|
[W7]. For dialogue, ensure each character has distinct
|
|
speech patterns reflecting background/personality.
|
|
\end{verbatim}
|
|
|