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Compute and verify tensor-calculus and differential-geometry results. Use for coordinate transformations, metrics, differential forms, covariant derivatives, connections, geodesics, curvature, Lie derivatives, and coordinate-independent geometric identities.
默认使用会先检查来源的 Prompt；你也可以切换为直接命令，或下载本地副本。
决定是否安装前，请先阅读 SKILL.md，以及 SkillsMP 当前展示的配套文件。
用 Codex 或 Claude 帮你安装 复制这段 Prompt，粘贴到 Codex、Claude 或其他助手里，让它检查 Skill 页面并帮你完成安装。
直接命令不会经过审查 Prompt；运行前请先检查来源。
npx skills add https://github.com/eightmm/codex-science --skill cx-tensor-calculus-differential-geometry命令会保持在同一行。复制前请横向滚动并检查完整内容。
想先保存到本地？可下载 SkillsMP 当前能够提供的文件。
Execute auditable quantitative research across preregistered study design, statistical inference, numerical verification, dimensional analysis, uncertainty propagation, counterexample search, and formal proof. Use when a scientific or mathematical question needs actual computation and machine-readable evidence rather than only explanation.
Compare finite actions under uncertainty with explicit states, loss, utility or risk-neutral payoff, priors, experiment likelihoods, and a declared decision criterion. Use for Bayes risk, expected utility or payoff, pure-action minimax, minimax regret, dominance, posterior decision policies, EVPI/EVSI, experiment-cost decisions, and prior-threshold sensitivity; do not use for ordinary statistical testing, causal identification, strategic games, or MDP/POMDP/RL planning.
Compare finite actions under uncertainty with explicit states, loss, utility or risk-neutral payoff, priors, experiment likelihoods, and a declared decision criterion. Use for Bayes risk, expected utility or payoff, pure-action minimax, minimax regret, dominance, posterior decision policies, EVPI/EVSI, experiment-cost decisions, and prior-threshold sensitivity; do not use for ordinary statistical testing, causal identification, strategic games, or MDP/POMDP/RL planning.
基于 SOC 职业分类
正在显示 SKILL.md
| name | cx-tensor-calculus-differential-geometry |
| description | Compute and verify tensor-calculus and differential-geometry results. Use for coordinate transformations, metrics, differential forms, covariant derivatives, connections, geodesics, curvature, Lie derivatives, and coordinate-independent geometric identities. |
Use this Codex adapter for the pinned upstream scientific skill.
activecxMIT../../inventory.json../../../authored-skills/tensor-calculus-differential-geometry/SKILL.md$science-provenance for produced scientific outputs and $science-review before presenting scientific claims.