| name | paperlab_derivation_symbolic_checking |
| description | Check PaperLab mathematical derivations for assumptions, dimensional
consistency, limiting cases, notation, and NeqSim implementation linkage.
|
PaperLab Derivation Symbolic Checking
When to Use
USE WHEN: a paper or book includes a new method, equation derivation, algorithm
description, Jacobian, residual formulation, or thermodynamic identity.
Audit Dimensions
| Dimension | Questions |
|---|
| Assumptions | Are phase, EOS, ideality, and differentiability assumptions explicit? |
| Units | Are both sides dimensionally consistent? |
| Symbols | Are symbols defined once and reused consistently? |
| Limiting cases | Does the equation reduce correctly for simple or ideal cases? |
| Code linkage | Is there a Java method, notebook, or test implementing the equation? |
Output Schema
{
"equations": [
{
"label": "residual_jacobian",
"status": "needs_fix",
"issues": ["symbol J reused for flux and Jacobian"],
"limiting_cases_checked": ["ideal gas", "zero association"],
"implementation_link": "neqsim.package.Class#method"
}
]
}
Pass Criteria
- Each derivation states assumptions.
- Units and symbols are consistent.
- At least one limiting case or reference comparison is described.
- Implementation or test linkage exists for computational methods.
Safety Rules
- Do not present dimensional consistency as mathematical proof.
- If symbolic algebra cannot be run, state that the review is manual.
- Keep corrections minimal and tied to the manuscript text.
