## Problem 319 — rank:317

**Title:** Function of yawning

**Added binding assumptions (LaTeX):**

```latex
The counting intensity is predictable from the history immediately before the event, for example $\lambda(X_{t-})$; post-yawn temperature or arousal cannot be inserted as pretreatment predictors. Include self-history where events are dependent. A contrast between interaction conditions can affect physiology through paths other than yawning, so identify which intervention and exclusion assumptions isolate the proposed mechanism. Present physiological utility separately from an evolutionary selected-function claim.
```

**Direct edits:** 1. **Fresh external checks:** None; supplied sources retained as provenance.