Formula Derivation
AI4Scientist/nano-scientist
Structures and derives research formulas when the user wants to 推导公式, build a theory line, organize assumptions, turn scattered equations into a coherent derivation, or rewrite theory notes into a…
Agent skill
Formula Derivation
by brycewang-stanford in brycewang-stanford/Auto-Empirical-Research-Skills
Structure and derive research formulas when the user wants to 推导公式, derive a theory line, build equations from a problem statement, clarify assumptions, separate formal derivation from remarks, or…
Custom licenceAuto-check passed
Install Formula Derivation
$ npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a claude-codeProject install by default; add -g for ~/.claude/skills/.
$ gh skill install brycewang-stanford/Auto-Empirical-Research-Skills formula-derivation --agent claude-codeProject scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).
$ git clone --depth 1 https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git skills-src && mkdir -p .claude/skills && cp -r skills-src/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation .claude/skills/formula-derivation && rm -rf skills-srcUse ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.
Claude Code skills documentation · loads skills from .claude/skills/
Install the "formula-derivation" agent skill from https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation into .claude/skills/formula-derivation/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "formula-derivation", then confirm the skill loads.Claude Code copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$skill-installer install https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivationType this inside Codex. $skill-installer <name> installs a curated skill from openai/skills. The installer writes to $CODEX_HOME/skills (default ~/.codex/skills). Restart Codex if the skill does not show up.
$ npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a codexProject install goes to .agents/skills/; add -g for ~/.codex/skills/.
$ gh skill install brycewang-stanford/Auto-Empirical-Research-Skills formula-derivation --agent codexProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git skills-src && mkdir -p .agents/skills && cp -r skills-src/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation .agents/skills/formula-derivation && rm -rf skills-srcUse ~/.agents/skills/ instead of .agents/skills for a personal install.
Codex skills documentation · loads skills from .agents/skills/
Install the "formula-derivation" agent skill from https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation into .agents/skills/formula-derivation/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "formula-derivation", then confirm the skill loads.Codex copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a cursorProject install goes to .agents/skills/; add -g for ~/.cursor/skills/.
$ gh skill install brycewang-stanford/Auto-Empirical-Research-Skills formula-derivation --agent cursorProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git skills-src && mkdir -p .cursor/skills && cp -r skills-src/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation .cursor/skills/formula-derivation && rm -rf skills-srcUse ~/.cursor/skills/ instead of .cursor/skills for a personal install.
Cursor skills documentation · loads skills from .cursor/skills/, .agents/skills/, .claude/skills/, .codex/skills/
Install the "formula-derivation" agent skill from https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation into .cursor/skills/formula-derivation/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "formula-derivation", then confirm the skill loads.Cursor copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ gemini skills install https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git --path skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation--scope user (default) or --scope workspace; --path is the subfolder of the repo that holds the skill; --consent skips the security confirmation prompt.
$ npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a gemini-cliProject install goes to .agents/skills/; add -g for ~/.gemini/skills/.
$ gh skill install brycewang-stanford/Auto-Empirical-Research-Skills formula-derivation --agent gemini-cliProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git skills-src && mkdir -p .gemini/skills && cp -r skills-src/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation .gemini/skills/formula-derivation && rm -rf skills-srcUse ~/.gemini/skills/ instead of .gemini/skills for a personal install, then run /skills reload.
Gemini CLI skills documentation · loads skills from .gemini/skills/, .agents/skills/
Install the "formula-derivation" agent skill from https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation into .gemini/skills/formula-derivation/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "formula-derivation", then confirm the skill loads.Gemini CLI copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ gh skill install brycewang-stanford/Auto-Empirical-Research-Skills formula-derivationInstalls for Copilot at project scope by default; add --scope user for a personal install. Preview a skill first with gh skill preview. Needs GitHub CLI 2.90.0 or later (public preview).
$ npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a github-copilotProject install goes to .agents/skills/; add -g for ~/.copilot/skills/.
$ git clone --depth 1 https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git skills-src && mkdir -p .github/skills && cp -r skills-src/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation .github/skills/formula-derivation && rm -rf skills-srcUse ~/.copilot/skills/ instead of .github/skills for a personal install. Commit .github/skills so cloud agent and code review can use it.
GitHub Copilot skills documentation · loads skills from .github/skills/, .claude/skills/, .agents/skills/
Install the "formula-derivation" agent skill from https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation into .github/skills/formula-derivation/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "formula-derivation", then confirm the skill loads.GitHub Copilot copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
$ npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a opencodeOpenCode documents no install command of its own. Project install goes to .agents/skills/; add -g for ~/.config/opencode/skills/.
$ gh skill install brycewang-stanford/Auto-Empirical-Research-Skills formula-derivation --agent opencodeProject scope by default (.agents/skills/); add --scope user for a personal install.
$ git clone --depth 1 https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills.git skills-src && mkdir -p .opencode/skills && cp -r skills-src/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation .opencode/skills/formula-derivation && rm -rf skills-srcUse ~/.config/opencode/skills/ instead of .opencode/skills for a personal install.
OpenCode skills documentation · loads skills from .opencode/skills/, .claude/skills/, .agents/skills/
Install the "formula-derivation" agent skill from https://github.com/brycewang-stanford/Auto-Empirical-Research-Skills/tree/main/skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation into .opencode/skills/formula-derivation/ in this project. Copy the whole folder (SKILL.md and every file beside it), keep the folder name "formula-derivation", then confirm the skill loads.OpenCode copies the folder itself, the same result as the manual copy. Check what it changed before you commit it.
Facts
- Skill name
formula-derivation- GitHub stars
- 4.5k
- Token cost
- ~1.7k tokens
- SKILL.md length
- 913 words
- Files
- 1
- Skills in repo
- 383
- Repo updated
- First seen
- Licence
- Custom licence
At a glance
Structure and derive research formulas when the user wants to 推导公式, derive a theory line, build equations from a problem statement, clarify assumptions, separate formal derivation from remarks, or…
- Works in 9 steps: Freeze the Target → Choose the Invariant Object → Put Assumptions and Notation First → …
- Derive a theory line
- SKILL.md covers Core Principle, What to Produce, Workflow and Common Derivation Patterns, plus 2 more sections
- Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md
What it does
Formula Derivation is an agent skill from brycewang-stanford/Auto-Empirical-Research-Skills. Structure and derive research formulas when the user wants to 推导公式, derive a theory line, build equations from a problem statement, clarify assumptions, separate formal derivation from remarks, or turn messy theory notes into a paper-ready derivation skeleton. Use for research-style formula development, not for fully rigorous theorem proving once the claim is already fixed.
Its SKILL.md is about 1.7k tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.
The repository describes itself as: 🔬 A curated collection of 23,000+ agent skills for empirical research across 8 social science disciplines. | 精选 23,000+ AI Agent 技能库，覆盖8大社会科学学科的实证研究。CoPaper.AI…
When your agent uses it
- Derive a theory line
- Build equations from a problem statement
- Clarify assumptions
- Separate formal derivation from remarks
Example prompts
- “/formula-derivation”
Workflow steps
9 steps, taken from the step headings in SKILL.md.
- Freeze the Target
- Choose the Invariant Object
- Put Assumptions and Notation First
- Classify Every Step
- Derive from the Global Quantity When Splitting Costs
- Keep Special Cases and General Cases in One Line
- Treat Simplified Parameters as Analysis Slices
- Separate Main Text from Remarks
- Write Boundaries Explicitly
What it can do on your machine
Read from SKILL.md and the folder at commit 9fa87d8. It shows what the files ask for, not the result of running them.
Tool permissions
Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.
From allowed-tools in the SKILL.md frontmatter.
Runs code
No scripts in the folder and no shell commands in SKILL.md.
From the folder's file list and the shell code blocks in SKILL.md.
Network
No URLs in SKILL.md.
From URLs in SKILL.md, links to its own repository left out.
Credentials
Names no API keys, tokens, secrets or passwords.
From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.
Context cost
Formula Derivation loads about 1.7k tokens when it runs. Until then it costs about 99 tokens; SKILL.md has 913 words of instructions outside code blocks.
Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.
Safety
Auto-check passed
The automated check found no risky patterns in SKILL.md.
Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.
SKILL.md
Its licence (Custom licence) doesn't allow us to republish the file, so here is its outline and opening line. It has 913 words (~1,742 tokens).
“Use this skill when the task is not merely to prove a finished theorem, but to build the derivation itself:”
- name
- formula-derivation
Files
Just SKILL.md in skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation of brycewang-stanford/Auto-Empirical-Research-Skills.
Open the folder on GitHubat commit 9fa87d8
Compare with similar skills
Formula Derivation next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.
| Skill | Stars | Used in | Tokens | Auto-check | Licence | Repo updated |
|---|---|---|---|---|---|---|
| Formula Derivation this skillbrycewang-stanford/Auto-Empirical-Research-Skills | 4.5k | — | ~1.7k | Automated safety check: Pass | Custom licence | |
| Formula DerivationAI4Scientist/nano-scientist | 128 | 5 repos | ~2.3k | Automated safety check: Pass | None | |
| Longbridge Derivativessickn33/agentic-awesome-skills | 47k | 1 repos | ~1.1k | Automated safety check: Pass | MIT | |
| Math Derivation Auditortradecatlabs/vibe-coding-cn | 17k | — | ~429 | Automated safety check: Pass | MIT | |
| Spreadsheet Formula Helpercomposio-community/awesome-codex-skills | 17k | — | ~328 | Automated safety check: Pass | None | |
| Crypto Derivatives StrategiesHKUDS/Vibe-Trading | 35k | — | ~2.4k | Automated safety check: Pass | MIT |
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sickn33/agentic-awesome-skills
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Math Derivation Auditor
tradecatlabs/vibe-coding-cn
Constructs honest, checkable derivation chains for formulas and theory notes, and keeps approximations and numerical hints from passing as rigorous proof.
Spreadsheet Formula Helper
composio-community/awesome-codex-skills
Write and debug spreadsheet formulas (Excel/Google Sheets), pivot tables, and array formulas; translate between dialects; use when users need working formulas with examples and edge-case checks.
Crypto Derivatives Strategies
HKUDS/Vibe-Trading
Covers three crypto-derivatives approaches: perpetual funding-rate arbitrage, futures term-structure trading in contango and backwardation, and options volatility and Greeks analysis.
Runtime Formulas
baserow/baserow
Explain, debug, or extend Baserow runtime formulas, including FormulaField/JSONFormulaField storage, FormulaSerializerField validation, runtime formula functions, backend and frontend data…
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Questions about Formula Derivation
What does Formula Derivation do?
Structure and derive research formulas when the user wants to 推导公式, derive a theory line, build equations from a problem statement, clarify assumptions, separate formal derivation from remarks, or…. Formula Derivation is an agent skill from brycewang-stanford/Auto-Empirical-Research-Skills. Structure and derive research formulas when the user wants to 推导公式, derive a theory line, build equations from a problem statement, clarify assumptions, separate formal derivation from remarks, or turn messy theory notes into a paper-ready derivation skeleton.
When should I use Formula Derivation?
Formula Derivation fits situations like: derive a theory line; build equations from a problem statement; clarify assumptions; separate formal derivation from remarks.
How do I install Formula Derivation in Claude Code?
Run `npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a claude-code`. Or copy the skill folder (skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation in brycewang-stanford/Auto-Empirical-Research-Skills) into .claude/skills/formula-derivation in your project. Claude Code loads it when a task matches its description.
How do I install Formula Derivation in Codex?
Run `npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a codex`. Or copy the skill folder (skills/42-wanshuiyin-ARIS/skills/skills-codex/formula-derivation in brycewang-stanford/Auto-Empirical-Research-Skills) into .agents/skills/formula-derivation in your project. Codex loads it when a task matches its description.
Can I use Formula Derivation in Cursor, Gemini CLI or GitHub Copilot?
Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add brycewang-stanford/Auto-Empirical-Research-Skills --skill formula-derivation -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/formula-derivation, .gemini/skills/formula-derivation, .github/skills/formula-derivation and .opencode/skills/formula-derivation in your project.
What does Formula Derivation need to run?
SKILL.md names no scripts, command-line tools or credentials: Formula Derivation is instructions for the agent only.
Does Formula Derivation access the network?
SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.
Is Formula Derivation safe to install?
Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. Review the folder before installing.
What licence does Formula Derivation use?
Formula Derivation has a licence file (the repository's licence) that doesn't match a standard licence. Read it on GitHub before reusing the skill.
How many tokens does Formula Derivation use?
About 1.7k tokens (SKILL.md is roughly 7k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.
What are the alternatives to Formula Derivation?
Skills that share tags, products or a category with Formula Derivation: Formula Derivation (AI4Scientist/nano-scientist, 128 stars), Longbridge Derivatives (sickn33/agentic-awesome-skills, 47k stars), Math Derivation Auditor (tradecatlabs/vibe-coding-cn, 17k stars) and Spreadsheet Formula Helper (composio-community/awesome-codex-skills, 17k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.
Who maintains Formula Derivation?
brycewang-stanford (a GitHub user) maintains it in brycewang-stanford/Auto-Empirical-Research-Skills, which has 4,542 GitHub stars. The repository holds 383 skills in this directory. The repository was last updated on October 5, 2026.
Source: brycewang-stanford/Auto-Empirical-Research-Skills on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.