SKILL.md
$2c
stats — Statistical test selection
Use the decision tree in references/notation-guide.md to select appropriate tests. Report p-values, effect sizes, confidence intervals.
notation — Generate notation table
Create a \begin{table} with all symbols used in the paper. Use standard ML notation from references/notation-guide.md.
verify — Check mathematical correctness
Verify: dimensional consistency, boundary cases, gradient computations, notation consistency across sections.
References
- Standard ML notation + statistical tests:
~/.claude/skills/math-reasoning/references/notation-guide.md
- Proof templates and theorem environments:
~/.claude/skills/math-reasoning/references/proof-templates.md
Rules
- Define ALL symbols before first use: "Let $\mathcal{X}$ denote..."
- Use consistent notation throughout the paper
- Number equations that are referenced later
- Use
\tag{reason}for key derivation steps
- State assumptions explicitly
- Cite lemmas and prior results used in proofs
Related Skills
- Upstream: research-planning
- Downstream: algorithm-design, paper-writing-section
- See also: symbolic-equation, data-analysis