Audit new or existing Jacobian mathematical operations for public-domain mismatches, hidden work expansion, evidence-backed scale or backend improvements, lossy exact results, source-unbound conclusions, and producer-consumer incompatibility. Use for operation-contract reviews, mathematical performance investigations…
Decompose a bounded corpus of mathematical proofs, formalizations, scripts, and certificates into recurring solution techniques and the smallest reusable Jacobian postconditions. Use for repository- or corpus-level “what can Jacobian learn?” audits; do not use for one operation contract or one agent trajectory.
Review completed or paused mathematical agent transcripts, visible reasoning, code, searches, tool calls, corrections, and final claims to extract evidence-backed lessons for Jacobian operations, discovery, contracts, skills, evaluations, and documentation. Use for mathematical workflow retrospectives and "what should…
A quick mathematics tool for simplifying expressions, solving equations, and performing calculus and other symbolic calculations. The description is in Chinese, but its listed operations include differentiation, integration, limits, series, inequalities, probability, matrices, and unit conversion.