# point of inflection (curvature)

*Ordinarily means:* a moment when a trend changes direction of its acceleration

the moment when a parameter stays inside its window yet its drift switches from increasing to decreasing (or vice-versa) while the parameter itself continues to move, indicating a shift of regime

- Computed level: L12 (depth in the emergence graph, not abstraction)
- Status: review  ·  Domain: change of state

## Emergence
**Emerges from:** [parameter](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-parameter.condition), [drift](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-drift.aimless), [increase](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-increase.quantity), [window](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-window.range), [change](https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-change.process)

**Through:** the drift of a parameter ceases to increase and begins to decrease while the parameter remains within its window, marking a regime shift

**Novel properties:**
- sign flip of drift curvature

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*Canonical: https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-point-of-inflection.curvature*  
*Structured data: https://emergencemachine.com/tools/lexicon/what-is-the-meaning-of-point-of-inflection.curvature.json*  
*Every definition provably resolves to space, time, energy and pattern.*