# C975 — Check the piecewise-linear response

## Question

Does one controlled perturbation agree with the derived response matrix?

## Inputs

```json
{
  "diagnostic_only": "increase completed Lamech edge by1; retain active-region assumptions"
}
```

## Sources

```json
[
  "C974"
]
```

## Opened utc

2026-09-28T03:50:11.806475+00:00

## Results

```json
{
  "lifespan_changes": [
    0,
    0,
    0,
    0,
    0,
    1,
    0,
    1,
    1
  ],
  "cumulative_changes": [
    3,
    3,
    3,
    3,
    3,
    3,
    2,
    2,
    1
  ],
  "status": "unadmitted derivative diagnostic"
}
```

## Finding

The exact one-unit calculation matches the response matrix while retaining the same active support. The formula’s domain qualification is essential at cap thresholds.

## Reassessment

Check the admitted whole-frame change without moving any relative ages.

## Checks

```json
{
  "life_response": true,
  "cumulative_response": true
}
```

## Closed utc

2026-09-28T03:50:11.806796+00:00

## Record provenance

Exact record hash: `e06af236922234cb62e23d811ddfe9cdfc0db3a399e1a2d7e643bc9b8c9d24e6`

Source journal: `Research_Cycles/C0932_C1131/journal.json`